The stemplot below represents the number of bite-size snacks grabbed by 37 students in an activity for a statistics class.

A stemplot titled Number of snacks has values 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 21, 21, 21, 21, 22, 23, 25, 25, 28, 32, 38, 42, 45.

Which of the following statements best describes the distribution?

The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 15 to 45. There are no outliers.
The distribution of the number of snacks grabbed is symmetric with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed left with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.
The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.

The Stemplot Below Represents The Number Of Bite-size Snacks Grabbed By 37 Students In An Activity For

Answers

Answer 1

Answer:

The distribution of the number of snacks grabbed is skewed right with a center around 18 and varies from 12 to 45. There are possible outliers at 38, 42, and 45.

Step-by-step explanation:

First, we can see if the graph is symmetric. A symmetric graph is even on both sides of the center. As there are a lot more students that grabbed a small number of snacks, and the data is not even around the center (which is somewhere around 20 or 30 snacks). This means that the graph is not symmetric, making the second answer incorrect.

Next, we can check if the graph is skewed right or left. If the left of the graph represents a smaller amount of snacks and the right of it represents a higher number of snacks, we can see that most of the data is on the left of the graph. There are a few values to the right, but the overwhelming amount of data is on the left, making the distribution skewed to the right. This keeps the first and last answers possible

Moreover, we can find the center of the distribution. This is generally equal to the median, which is 18, so the center is around 18

After that, we can see what the values vary from. The lowest tens value is 1, and the lowest ones value in that is 2, making the lowest value 12. Similarly, the highest tens value is 4, and the highest ones value there is 5, making the range 12 to 45. This leaves the last answer, but we can check the outliers to make sure.

With the data, we can calculate the first quartile to be 15, the third quartile to be 21.5, and the interquartile range to be 21.5-15 = 6.75 . If a number is less than Q₁ - 1.5 * IQR or greater than Q₃ + 1.5 * IQR, it is a potential outlier. Applying that here, the lower bound for non-outliers is 15 - 6.5 * 1.5 = 5.25, and the upper bound if 21 + 6.5 * 1.5 = 30.75. No values are less than 5.25, but there are four values greater than 30.75 in 32, 38, 42, and 45. There are possible outliers at 38, 42, and 45, matching up with the last answer.


Related Questions

Find how much money needs to be deposited now into an account to obtain $7,300 (Future Value) in 6
years if the interest rate is 2.5% per year compounded monthly (12 times per year).
The final amount is $
Round your answer to 2 decimal places

Answers

Answer:

x=  $6,284.15

Step-by-step explanation:

7300 = x(1 + .025/12)^72

x = [tex]\frac{7300}{(1 + \frac{.025}{12} )^{72} }[/tex]

x=  $6,284.15  

What is the largest value of A according to the division operation given above?
A)300 B)314 C)400 D)450

Answers

Answer:

Hello,

Answer B

Step-by-step explanation:

Since A=15*20+B and B<15

The max for B is 14

==> 300+14=314

Question 1 and 2 plz explain

Answers

Answer:

1.D

2.B

Step-by-step explanation:

1. The x intercept is the value of x when y is zero. We know that the x intercept is 0.5 so we must find a value of k that will make our rational function equal zero when x=0.5

[tex]y = \frac{k}{x + 1} - 2[/tex]

Substitute x=0.5 and y=0.

[tex]0 = \frac{k}{0.5 + 1} - 2[/tex]

[tex]0= \frac{k}{1.5} - 2[/tex]

[tex]2 = \frac{k}{1.5} [/tex]

[tex]3 = k[/tex]

D is the Answer.

2. We need to consider the function

[tex] \frac{2x}{1 - {x}^{2} } [/tex]

Since the numerator is a linear term, it will have one zero to the equation using fundamental Theorem of Algebra so C is wrong.

This is a rational function because we are dividing two polynomials by each other and q(x) or the denominator isnt zero. So D is wrong.

The denominator is a quadratic term so it will have two vertical asymptote according to the fundamental Theorem of Algebra So A is Wrong.

B is Right, the equation isnt defined at x=0 because when we plug 0 into the denominator, it doesn't equate to zero.

need help asap (giving brainliest)

Answers

Answer:

hhhhjhgbbbjjhjjjjjkkkkkkkk

Answer:

Step-by-step explanation:

Q1. Sobey's is the best deal

In Food Basics, having the two loaves of bread costing 4.88 would mean that (4.88 / 2) one would cost 2.44.

To find out how much three would cost, multiply 2.44 by three, and the result is 7.32, which is higher than the three loves of bread that costs 7.20 in Sobey's, which Sobey's has a better deal. 7.20 / 3 = 2.40, yet Food Basics does cost higher by 4 cents for just one.

I am not too sure about question 2, but I do hope the above question helps!

The stem-and-leaf plot lists the ages of customers in a bookstore.

How many customers are 19 or younger?



Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

2,12,14,15,17
All of them are younger than 19

Hope this helps

What is the area of the pool ?

Answers

Answer:

https://brainly.com/question/24258518

Step-by-step explanation:

the area is 400! (10x40=400)

a rational number between 11 and 12

Answers

Answer:

11.1

11.2

11.3

11.4

11.5

11.6

11.7

11.8

11.9

[{66 +1} 2-6].7
I need help ASAP please due Monday pre-algebra show work

Answers

Ans; 7× [2-6 { 1+66}] —> 7× [2 - 6 { 67} ] —> 7× [2-402] —> 7×[- 400] —> = – 2800

I hope I helped you ^_^

A pizza parlor has a choice of 10 toppings for its pizzas. From these 10 toppings, how many different 7-topping pizzas are possible?

Answers

Answer:

120

Step-by-step explanation:

There are 10 possible toppings to choose from, you choose 7.

Using combinatorics, it's 10!/(7! 3!), or 120.

The formula is (total amount to choose from )! divided by (amount you choose)!(amount you don't choose)!

Or search up combination formula

A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

The formula for combination.

= [tex]^nC_r[/tex]

= n! / r! (n -r)!

The number of possible 7-toppings for the pizza is 120.

What is a combination?

A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The total number of toppings = 10.

n = 10

The number of required toppings = 7.

r = 7

The formula for combination.

= [tex]^nC_r[/tex]

= n! / r! (n -r)!

The possible number of possible 7-toppings pizzas.

= [tex]^{10}C_7[/tex]

= (10 x 9 x 8) / (3 x 2)

= 120

Thus,

n = 10 and r = 7

[tex]^{10}C_7[/tex] = 120

The number of possible 7-toppings for the pizza is 120.

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If you deposit $500 dollars “Each Month!” Into an account paying 3% interest, compounded monthly, how much would be in said account after 4 years.

Please show proper work and give a good explanation in regards as to how you got your answer

Answers

Answer:

26029.26

Step-by-step explanation:

Assuming we are investing the 500 at the end of the period and starting with 500 in the account

[ P(1+r/n)^(nt) ]+PMT × {[(1 + r/n)^(nt) - 1] / (r/n)}

PMT = the monthly payment

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the time in years

[ 500(1 + .03/12)^(4*12) ]+500 × {[(1 + .03/12)^(4*12) - 1] / .03/12)}

[ 500(1 + .0025)^(48) ]+500 × {[(1 + .0025)^(48) - 1] / .0025)}

563.66 +25465.60

i need help and thx you freinds

Answers

Answer:

Below

Step-by-step explanation:

Find the areas of the triangles on the sides

A = bh / 2

   = (3)(5) / 2

   = 7.5

There are 2 of these so it would just be 15

Now for the square

A = lw

   = (5)(6)

   = 30

Add em all up

Total area = 15 + 30

                 = 45 cm^2

Hope this helps!

Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed

Answers

Answer:

Sin A = 15 / 17

Step-by-step explanation:

Given a right angled triangle, we are to obtain the Sin of the angle A ;

Using trigonometry, the sin of the angle A, Sin A is the ratio of the angle opposite A to the hypotenus of the right angle triangle.

Hence. Sin A = opposite / hypotenus

Opposite = 15 ; hypotenus = 17

Sin A = 15 / 17

2sin^2(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Answers

Answer:

x = π/12 and x = π/4.

Step-by-step explanation:

2sin^2(2x) + 1 = 3sin(2x)

2sin^2(2x) - 3sin(2x) + 1 = 0

(2sin(2x) - 1)(sin(2x) - 1) = 0

2sin(2x) - 1 = 0

2sin(2x) = 1

sin(2x) = 1/2

When there is a variable n = π/6, sin(π/6) = 1/2 [refer to the unit circle].

2x = π/6

x = π/12

sin(2x) - 1 = 0

sin(2x) = 1

When there is a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4

Hope this helps!

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“””” HELP PLEASE “”””
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Answers

9514 1404 393

Answer:

  x = 14 cm

Step-by-step explanation:

We can only solve for x if the triangles are similar. The arrows on the left and right legs say those are parallel. Since alternate interior angles at each of the transversals are congruent, the triangles are AA similar.

ΔABC ~ ΔDEC, so we have ...

  EC/ED = BC/BA

  x/(18 cm) = (35 cm)/(45 cm)

  x = (18 cm)(7/9) = 14 cm

GIVING BRAINLIEST!!!!! AND ALL POINTS!!!!!!!!!!!!!!!!!!!
A right rectangular prism is packed with cubes of side length fraction 1 over 4 inch. If the prism is packed with 12 cubes along the length, 8 cubes along the width, and 5 cubes along the height, what is the volume of the prism?

fraction 2 and 3 over 4 cubic inches
fraction 3 and 3 over 4 cubic inches
fraction 7 and 1 over 4 cubic inches
fraction 7 and 1 over 2 cubic inches

Answers

Answer:

7 and 1 over 2 cubic inches ( 7 1/2 in³

Step-by-step explanation:

The height = 1/4 * 5 = 1 1/4 = 1.25

The width = 1/4 * 8 = 2

The length = 1/4 * 12 = 3

Volume = 1.25 * 2 * 3 = 2.5 * 3 = 7.5

0.5 is represented as 1/2

So answer : fraction 7 and 1 over 2 cubic inches or 7 1/2 in³

if my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

I need to know this answe ASAP

Answers

Answer:

The function is always increasing

Step-by-step explanation:

To be increasing, the y value needs to be getting bigger as x gets bigger

This is true for all values of x

The function is increasing for all values of x

About 12.5% of restaurant bills are incorrect. If 200 bills are selected at ran- dom, find the probability that at least 22 will contain an error. Is this likely or unlikely to occur

Answers

Answer:

0.7734 = 77.34% probability that at least 22 will contain an error. Probability above 50%, which means that this is likely to occur.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

About 12.5% of restaurant bills are incorrect.

This means that [tex]p = 0.125[/tex]

200 bills are selected at random

This means that [tex]n = 200[/tex]

Mean and standard deviation:

[tex]\mu = E(X) = np = 200*0.125 = 25[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.125*0.875} = 4.677[/tex]

Find the probability that at least 22 will contain an error.

Using continuity correction, this is [tex]P(X \geq 22 - 0.5) = P(X \geq 21.5)[/tex], which is 1 subtracted by the p-value of Z when X = 21.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{21.5 - 25}{4.677}[/tex]

[tex]Z = -0.75[/tex]

[tex]Z = -0.75[/tex] has a p-value of 0.2266.

1 - 0.2266 = 0.7734

0.7734 = 77.34% probability that at least 22 will contain an error. Probability above 50%, which means that this is likely to occur.

Practice Exercise 3.1 Fill in the blanks: (i) The factors of 12 are (ii) The least non-zero multiples of any number is (iii) ......... is a factor of every number. ing with Numbers​

Answers

Answer:

i.)1,2,3,4,6,12

ii).the number itself

iii.)1

What is the equation of a horizontal line passing through the point (-7,5)?
Oy = 5
Oy = -7
Ox=5
Ox= - 7

Answers

Answer:

1st option, y = 5

Step-by-step explanation:

when the line is horizontal, it's parallel to the x axis

Answer:

y = 5

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- 7, 5 ) with y- coordinate 5 , then

y = 5 ← is the equation of the line

A translation T maps point B(-2,4) onto point B (3,-1). What is the translation T?
HELP PLSS!!!!

A- (x+5, y-5)
B- (x+5, y+5)
C- (x-5, y+5)
D- (x-5, y-5)

Answers

Answer:

(x+5, y-5) is the correct answer

Step-by-step explanation:

first, take -2 and 3 on x value; when you jump from -2 to 3, your answer is positive 5

second, take 4 and -1 on y value; when you jump from 4 to -1, your answer is negative 5

hence your answer for this question is a- (x+5, y-5)

The median age (in years) of the U.S. population over the decades from 1960 through 2010 is given by
f(t) = −0.2176t3 + 1.962t2 − 2.833t + 29.4 (0 ≤ t ≤ 5)
where t is measured in decades, with t = 0 corresponding to 1960.
(a) What was the median age of the population in the year 1970?
(b) At what rate was the median age of the population changing in the year 1970?
(c) Calculate f ''(1).

Answers

Considering the given function, we have that:

a) 28.31 years.

b) 0.3382 years a decade.

c) 2.6184.

What is the function?

The median age of the U.S. population in t decades after 1960 is:

f(t) = -0.2176t³ + 1.962t² - 2.833t + 29.4.

1970 is one decade after 1960, hence the median was:

f(1) = -0.2176 x 1³ + 1.962 x 1² - 2.833 x 1 + 29.4 = 28.31 years.

The rate of change was is the derivative when t = 1, hence:

f'(t) = -0.6528t² + 3.924t - 2.933

f'(1) = -0.6528 x 1² + 3.924 x 1 - 2.933 = 0.3382 years a decade.

The second derivative is:

f''(t) = -1.3056t + 3.924

Hence:

f''(1) = -1.3056 x 1 + 3.924 = 2.6184.

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1 calculate the weight of a dog on the earth and on the moon if it has a mass of 28kg

Answers

To solve the problem.

W=m×g

W=28×10

W=280.

The weight of a dog on the surface of earth is 280N.

Answer:

274.68N and 45.36N respectively

Step-by-step explanation:

Weight of any object is the mass in kilograms(kg) multiplied by the gravity in meter per square second(m/s^2). The gravity on earth is 9.81m/s^2 and on moon is 1.62m/s^2...so since the gravity varies the weight of the dog will also vary. The wight on earth would be 28kg multiplied by 9.81m/s^2 which would be 274.68N and the weight on moon would be 28kg multiplied by 1.62m/s^2 which would be 45.36N.

By Using 0,2,4,5,6 Write The Smallest Number And the Greatest Number​

Answers

Answer:

smallest is 0 and greatest is 6

simple

Answer:

0 and 6

Step-by-step explanation:

Because 0 is means nothing.And the highest number is 6

6. On a number line, point A has a coordinate of -6, and point B has a coordinate of 2. Which is the coordinate of point M, the midpoint of AB ?
A) 0
B) -2
C) -3
D) 4

Answers

9514 1404 393

Answer:

  B) -2

Step-by-step explanation:

The midpoint is the average of the end points.

  M = (A +B)/2

  M = (-6 +2)/2 = -4/2 = -2

The coordinate of M is -2.

find the missing side lengths​

Answers

this is a special triangle so v = 17

u = 17√2

Answer:

v = 17

u = 17[tex]\sqrt{2}[/tex]

Step-by-step explanation:

If v = 17 (it is because it is a right triangle, so the pythagorean theorum works, and triangles are 180 degrees, so 180 - 90 = 90, so the other two angles are 45 degrees, meaning that v is the same length as 17.) then

17 ^ 2 = u ^2

289 = u^2

17 root to 2

37. The trip between 2 towns is exactly 90 miles. You have gone 40% of this distance. How far have
you gone?

Answers

Answer:

36 miles

Step-by-step explanation:

We want to find 40% of 90 miles

40% * 90

.40 * 90

36 miles

Distance=90mliesTravelled distance=40℅

We have to find travelled distance inorder to find this we have to find 40℅ of 90miles

[tex]\\ \Large\sf\longmapsto 90\times 40\℅[/tex]

[tex]\\ \Large\sf\longmapsto 90\times \dfrac{40}{100}[/tex]

[tex]\\ \Large\sf\longmapsto 9\times 4[/tex]

[tex]\\ \Large\sf\longmapsto 36miles [/tex]

According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that 15 or more of them would agree with the claim?

Answers

Answer:

0.9703 = 97.03% probability that 15 or more of them would agree with the claim.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they agree with the claim, or they do not. The probability of an adult agreeing with the claim is independent of any other adult, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

75% of adults believe that an unattractive smile hurts career success.

This means that [tex]p = 0.75[/tex]

Suppose that 25 adults are randomly selected.

This means that [tex]n = 25[/tex]

What is the probability that 15 or more of them would agree with the claim?

This is:

[tex]P(X \geq 15) = 1 - P(X < 15)[/tex]

In which:

[tex]P(X < 15) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 13) + P(X = 14)[/tex]

14 is below the mean, so we start below and go until the probability is 0. Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 14) = C_{25,14}.(0.75)^{14}.(0.25)^{11} = 0.0189[/tex]

[tex]P(X = 13) = C_{25,13}.(0.75)^{13}.(0.25)^{12} = 0.0074[/tex]

[tex]P(X = 12) = C_{25,12}.(0.75)^{12}.(0.25)^{13} = 0.0025[/tex]

[tex]P(X = 11) = C_{25,11}.(0.75)^{11}.(0.25)^{14} = 0.0007[/tex]

[tex]P(X = 10) = C_{25,10}.(0.75)^{10}.(0.25)^{15} = 0.0002[/tex]

[tex]P(X = 9) = C_{25,9}.(0.75)^{9}.(0.25)^{16} \approx 0[/tex]

Then

[tex]P(X < 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0002 + 0.0007 + 0.0025 + 0.0074 + 0.0189 = 0.0297[/tex]

And

[tex]P(X \geq 15) = 1 - P(X < 15) = 1 - 0.0297 = 0.9703[/tex]

0.9703 = 97.03% probability that 15 or more of them would agree with the claim.

Imagine that you are given two linear equations in slope-intercept form. You
notice that both the slopes and the y-intercepts are the same. How many
solutions would you expect for this system of equations?
O A. 1
ОВ. о
C. infinitely many
O D. cannot be determined
SURAT

Answers

Answer:

C. infinitely many

Step-by-step explanation:

If two equations in slope-intercept form have the same slope and y-intercept they must be the same line. Additionally, the solutions of a system of equations are wherever the two lines intersect. Since the lines are the same they must intersect at every point. Therefore, there are infinitely many solutions.

10. What is the multiple zero and multiplicity of f(x) = (x - 3)(x - 3)(x + 5)?
Multiple zero is -3; multiplicity is 2
Multiple zero is 5; multiplicity is 1
Multiple zero is -5; multiplicity is 1
Multiple zero is 3; multiplicity is 2

Answers

Answer:

x=3, multiplicity of 2

x=-5, multiplicity of 1

Step-by-step explanation:

f(x) = (x - 3)(x - 3)(x + 5)

Rewriting

f(x) = (x - 3)^2(x + 5)

Setting equal to zero

0 =  (x - 3)^2(x + 5)

Using the zero product property

(x-3)^2  = 0   x+5 = 0

x-3 = 0         x= -5

x=3             x-5

Since x-3 was squared, the multiplicity is 2

Answer:

x=3, multiplicity of 2

x=-5, multiplicity of 1

Step-by-step explanation

Given the arc, name the central angle.
FG
A. ∠GQJ
B. ∠FQG
C. ∠GQI
D. ∠HQI

Answers

Answer:

B

Step-by-step explanation:

Given arc FG then the central angle is the angle at the centre subtended by FG , that is

central angle = ∠ FQG

The central angle is B i.e ∠FQG

What is central angle?

A central angle exists an angle whose vertex stands present at the center of a circle created by the two radii as the sides of the angle.

In Mathematics, an “arc” exists as a smooth curve joining two endpoints. In general, an arc exists one of the portions of a circle. It is essentially a part of the circumference of a circle. Arc exists as a part of a curve. An arc can be a portion of some other curved constitutions like an ellipse but mostly guides to a circle.

The angle substended by the arc would be ∠FQG.

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There were 756 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 6 times the number of students whfailedFind the number of students who passed and the number who failed. Sitting on a park bench, you see a swing that is 100 feet away and a slide thatis 60 feet away. The angle between them is 30.distance between the swing and the slide?What is the approximate If the base linear function is F(x) =-3x and 5 is added to the equation, then what best describes what happened to the base equation? A.nothing happened stayed the same B. The base equation shifts up five unitsC. The base equation shifts to the left five unitsD. The base equation shifts down five unitsE. The base equation shifts to the right to five units 1. What does the woman want to drink? (2 im)A. A bottle of water.B. A cup of teaC. A glass of fruit juice What are some consequences when a country experiences adownturn in the economy? playing sports always gives you ............ and make you........................A.pleasant/healthy B. pleasure/healthC. pleasure / healthy D. pleased/ healthy What idea is emphasized through repetition?Dwaina was overwhelmed and unsure what to do with the additional food.Many people in the community were nervous about helping Dwaina.Dwaina wanted to make the meals without help from the community.Many people in the community contributed to Dwainas cause in their own way. Complete the text with the prepositions a, hacia o con. Consumer Price Index (CPI) is anA. economic condition in which there is a decline in the price ofgoods and servicesB. economic measurement that helps determine changes in thepurchasing power of a dollarc. economic condition in which money loses its purchasing powerand prices riseD. amount of goods that can be purchased with a unit of currency ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round your answer to one decimal place, if necessary.) Two forces are acting on a body. One acts east, the other at 35 north of east. If thetwo forces are equal in magnitude of 50 N, find the resultant using the Law of Sinesand the Law of Cosines. Please answer with full solution. Thanks Choose the congruence theorem that you would use to prove the triangles congruent Name the marked angle in 2 different ways. when did muthulakshmi go abroad? The Ramirez family and the Stewart family each used their sprinklers last summer. The water output rate for the Ramirez family's sprinkler was 40 L per hour.The water output rate for the Stewart family's sprinkler was 15 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a totalwater output of 1575 L. How long was each sprinkler used? Solve the equation | 7x + 5| = |3x - 13| Nm trc, doanh thu t c 1 triu $, trong 250.000 l doanh thu bn chu; s d khon phi thu khch hng trung bnh l 41.096$. Nm nay, cng ty k vng doanh thu s tng thm 50%, t l doanh thu bn chu/doanh thu khng i, k thu tin bnh qun tng 50% (gi s mt nm c 365 ngy). Nu khon phi thu tng thm c ti tr t bn ngoi (chng hn nh vay ngn hng) th cng ty cn thm ngun ti tr ny l bao nhiu? Write in factored formm^2 - n^4 La lgalit quivaut l'exile.Discutez 3. the third one please answer ASAP write it on paper, please