A circle has a circumference of 100 m. Find its area

9514 1404 393

Answer:

  B.  F(-9/2, 0), x = 9/2

Step-by-step explanation:

One definition of a parabola is that it is all of the points that are equidistant from the focus and the directrix. Among other things, this means the parabola "wraps around" the focus, and opens away from the directrix.

The focus is on the axis of symmetry, so shares a coordinate with the vertex. Since the vertex is a point on the parabola, it is equidistant from the focus and directrix—halfway between them.

The given equation has x get more negative as y increases, so the parabola opens to the left. This means the focus will be a point on the -x axis. Only one answer choice meets that requirement:

  focus: (-9/2, 0), directrix: x = 9/2

__

The equation of a parabola with its vertex at the origin can be written as ...

  x = 1/(4p)y^2

In this case, we have 4p = -18, so p = -9/2. This is the distance from the vertex to the focus. The negative sign means the focus is to the left of the vertex, and its x-coordinate is -9/2 (as noted above).

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal 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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that [tex]\mu = 15.4, \sigma = 3.5[/tex]

16 items are chosen at random

This means that [tex]n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875[/tex]

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{16.8 - 15.4}{0.875}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Answer:

1/x^2

Step-by-step explanation:

x^6-8 / x^2-2

x^-2/x^0

x^-2/1

do reciprocal

1/x^2

Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.

Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10

Step-by-step explanation:

Answer:

see graph

Step-by-step explanation:

Answer:

282.12 ft

Step-by-step explanation:

Please find attached a graphical illustration of the question

We are given the value of the opposite side and we are to determine the value of the adjacent side. Thus, tan would be used

Tan 65 = opposite / adjacent

2.1445 = 605 / x

x = 605 / 2.1445

x = 282.12 ft

Answer:

209

Step-by-step explanation: guyci you y tf7itfit 6tuit6yci7v uvtfi7ftyvg hkvyucoyvyvhj gku citctvo utictgvuk h jh hj vvuk

c A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

vvvv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

vv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

v A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

Answer:

It’s c I do believe

Answer:

seriously, talk to your teacher. its 21 units squared.

I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.

so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.

Answer:

2 3/5

Step-by-step explanation:

13/5​

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over.  This goes over the denominator

2 3/5

2 3/5

Step-by-step explanation:

13/5

5*2=10

reminder=3

divisor = 5

9514 1404 393

Answer:

  3/5 cup of fruit

Step-by-step explanation:

Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:

  3/5 cup of fruit for 1 cup of nuts

Answer:  37 degrees

Explanation:

We have a right triangle because the tangent is always perpendicular to the radius, at the point of tangency.

That then leads to angles P and R being complementary, ie they add to 90

P+R = 90

R = 90-P

R = 90-53

R = 37

Answer:

60 different meal packages are possible.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

4 types of drinks

5 types of sandwiches.

3 types of chips.

They are independent events, so, by the fundamental counting principle:

4*5*3 = 60

60 different meal packages are possible.

Answer: [tex]\dfrac{x^2+1}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=\sqrt{2x-1}[/tex]

We can write it as

[tex]\Rightarrow y=\sqrt{2x-1}[/tex]

Express x in terms of y

[tex]\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}[/tex]

Replace y be x to get the inverse

[tex]\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}[/tex]

To prove, it is inverse of f(x). [tex]f(f^{-1}(x))=x[/tex]

[tex]\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x[/tex]

So, they are inverse of each other.

Answer:

3 white to 5 yellow

the third choice

Step-by-step explanation:

white     9 parts

yellow   15 parts

9 white to 15 yellow

Divide by 3

3 white to 5 yellow

9514 1404 393

Answer:

  C.  5√2

Step-by-step explanation:

The hypotenuse of an isosceles right triangle is √2 times the length of either leg. The given leg (YZ) is 5 units, so the hypotenuse XY is 5√2 units.

Answer:

- 8

Step-by-step explanation:

56 ÷ (- 7)

56 ÷ - 7

- 8

Answer:

-8

Step-by-step explanation:

A positive number divided by a negative one results in a negative quotient.

Thus, 56 ÷ (–7) = -8

Step-by-step explanation:

[tex]smallest \: 7-digit = 1000000 \\ \\ largest \: 4 - digit \: number = 9999 \\ \\ sum = (1000000 + 9999) \\ \\ sum = \: 1009999 \\ \\ hope \: it \: is \: helpful \: to \: you \: (◕ᴗ◕✿)[/tex]

Answer:

they are congruent by sss axiom

Step-by-step explanation:

de=fg (given)

df=ge(given)

ef=ef(being common side)

proved brainliest plzz

Answer:

182

2.0239

3.97

(178, 186)

Step-by-step explanation:

Given :

Sample mean, n = 250

Sample mean, xbar = 182

Sample standard deviation, s = 32

Point estimate for the mean ;

According to the central limit theorem ; for n > 30, the sample mean equal to the population mean.

Hence, point estimate of mean cholesterol level for men is 182

B.) The standard error = s/√n

s= 32 ; n = 250

Standard error = 32/√250 = 2.0239

C.) Margin of error :

TCritical * standard error

TCritical at 95% ; df =250 -1 = 249 = 1.96

1.969 * 2.0239 = 3.966 = 3.97

D.) The confidence interval :

Point estimate ± margin of error

182 ± 3.97

182 - 3.97 = 178.03

182 + 3.97 = 185.97

(178, 186)

Answer:

36

Step-by-step explanation:

Simple:

(4)(3)+2((5)(3)−2)−2

=12+2((5)(3)−2)−2

=12+2(15−2)−2

=12+(2)(13)−2

=12+26−2

=38−2

=36

Answer:

x=30°

Step-by-step explanation:

50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)

x=80-50

x=30 degree

Answer:a

Step-by-step explanation:

Answer:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]

Answer:

option a is correct

Step-by-step explanation:

(3a + 2b - c)(a - b + 2c)

3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)

multiply the brackets

3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2

combine like terms

3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2

3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc

Answer:

Dominic ate [tex]\frac{2}{6}[/tex]  of the pizza.

Step-by-step explanation:

First you want to convert the fractions so they all have the same denominator (bottom number in the fraction.) That will make it a lot easier to add and subtract with them.

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]

So Shawn ate 1/6 of the pizza, and Ryan ate 3/6 of the pizza. To find what else makes up the whole pizza (what Dominic ate) we add 1/6 and 3/6, then subtract from the whole.

[tex]\frac{1}{6}[/tex] + [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{6}[/tex]

[tex]\frac{6}{6}[/tex] - [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Therefore Dominic ate [tex]\frac{2}{6}[/tex]  of the pizza.

Answer:

E. Slope: 0

F. Equation: y = -2

Step-by-step explanation:

✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.

The line that is parallel to the x-axis would have a slope of 0 as well.

Therefore, slope (m) = 0

✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.

Substitute (x, y) = (3, -2) and m = 0 into y = mx + b

-2 = 0(3) + b

-2 = 0 + b

b = -2

✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:

y = 0(x) + (-2)

y = 0 - 2

y = -2

Options E and F are repeated but the correct thing should be;

e. The list of the 65 Yes or No answers for whether each customer ordered dessert.

f. The answer: Yes or No to whether a customer ordered dessert

Answer:

a. Parameter

b. Population

c. Sample

d. Statistic

e. Data

f. Variable

Step-by-step explanation:

a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.

b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.

c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.

d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.

e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.

f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.

Answer:

Hence the correct option is Option b that is the same for each interval.

Step-by-step explanation:

The PDF for Uniform distribution in [a,b] is given by  

[tex]f(x)=\frac{1}{b-a}~~~~~~a\leq x\leq b[/tex]  

So the probability that the random variable assumes a value in​ [a,b] is given by  

[tex]\int_{a}^{b}f(x)dx=\int_{a}^{b}\frac{1}{b-a}dx=1[/tex]

Therefore the correct option is b. the same for each interval.