What is the area of a equilateral triangle with an apothem of 4.9 ft and side length of 17 ft

Answers

Answer 1

Answer:

16

Step-by-step explanation:

is the the associated


Related Questions

Describe a free market economy

Answers

DescriptionA market economy is an economic system in which the decisions regarding investment, production and distribution are guided by the price signals created by the forces of supply and demand.

Answer:

soviet russia

Step-by-step explanation:

just kidding

The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market

Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand

Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

Answers

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that [tex]P(B) = 0.1[/tex]

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that [tex]P(A|B) = 0.995[/tex]

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]

93.25% probability that they have taken this steroid

Solve each equation.
13 = -2w

Answers

Answer:

w = -6.5

Step-by-step explanation:

We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!

FInd the permiter of a square with an area of 702.25 square yards

Answers

Answer:

The perimeter of the square is 106yd

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of ​​a square

a = area = 702.25yd²

s = side

a = s * s

we replace the values

702.25yd² = s * s

702.25yd² = s²

√(702.25yd²) = s

26.5yd = s

The side of the square is 26.5yd

Now we have to use the formula to calculate the perimeter of ​​a square

p = perimeter

s = side = 26.5yd

p = 4 * s

we replace with the known values

p = 4 * 26.5yd

p = 106yd

The perimeter of the square is 106yd

Answer:106 yards

Step-by-step explanation:

Length=L

Area=702.5

Area of square=L x L

702.5=L X L

702.5=L^2

L=√(702.5)

L=26.50

perimeter of square=4 x L

Perimeter of square=4 x 26.50

Perimeter of square=106

Perimeter of square=106 yards

A grocery store has an average sales of $8000 per day. The store introduced several advertising campaigns in order to increase sales. To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 64 days of sales was selected. It was found that the average was $8300 per day. From past information, it is known that the standard deviation of the population is $1200. The p-value is

Answers

Answer:

The p-value of the test is 0.023.

Step-by-step explanation:

In this case we need to determine whether the addition of several advertising campaigns increased the sales or not.

The hypothesis can be defined as follows:

H₀: The stores average sales is $8000 per day, i.e. μ = 8000.

Hₐ: The stores average sales is more than $8000 per day, i.e. μ > 8000.

The information provided is:

 [tex]n=64\\\bar x=\$8300\\\sigma=\$1200[/tex]

As the population standard deviation is provided, we will use a z-test for single mean.

Compute the test statistic value as follows:

 [tex]z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{8300-8000}{1200/\sqrt{64}}=2[/tex]

The test statistic value is 2.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

Compute the p-value for the two-tailed test as follows:

 [tex]p-value=P(Z>2)\\=1-P(Z<2)\\=1-0.97725\\=0.02275\\\approx 0.023[/tex]

*Use a z-table for the probability.

The p-value of the test is 0.023.

€1.4 m
1.9 m
Tim has to cover 3 tanks completely with paint.
Each tank is in the shape of a cylinder with a top and a bottom.
The tank has a diameter of 1.4 metres and a height of 1.9 m.
A tin of paint covers 5 m
Find the total surface area of the 3 tanks and state how
many tins of paint Tim will need to buy
You must show your working
Total marks 5

Answers

Answer:

Step-by-step explanation:

Since each tank is cylindrical, we would apply the formula for determining the total surface area of a cylinder which is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the height of the cylinder.

h represents the height of the cylinder.

π = 3.14

From the information given,

Height = 1.9

Diameter = 1.4

Radius = diameter/2 = 1.4/2 = 0.7

Total surface area = 2 × 3.14 × 0.7² + 2 × 3.14 × 0.7 × 1.9 = 3.0772 + 8.3524 = 11.4296 m²

Total surface area of the 3 cylinders = 11.4296 × 3 = 34.29 m²

Since a tin of paint covers 5 m², the number of tins paints that Tim will need to buy is

34.29/5 = 6.858

Since the tins of paint must be whole numbers, he needs to buy 7 tins of paints.

If you are given the coordinates of A, B, C, and D, how could you prove that ABCD is a rectangle?
A. Use the slope formula to show that AB∥CD, BC∥AD, AC⊥BD.
B. Use the distance formula to show that AB = CD, BC = AD, and AC = BD.
C. Use the distance formula to show that AB = CD, BC = AD, and use the midpoint formula to show that the midpoint of AC and the midpoint of BD are the same point.
D. Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.
E. Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.

Answers

Answer:

B.  Use the distance formula to show that AB = CD, BC = AD, and AC = BD.D.  Use the distance formula to show that AB = CD, and use the slope formula to show that AB∥CD and AB⊥BC.E.  Use the slope formula to show that AB∥CD, and use the distance formula to show that AB = CD and AC = BD.

Step-by-step explanation:

Your question does not say, "check all that apply," but I see three possible answers.

A -- can be ruled out because the diagonals of a rectangle are not necessarily perpendicular. This will show the figure is a rhombus.

B -- When both pairs of opposite sides are the same length, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.

C -- When opposite sides are the same length, the figure is a parallelogram. The diagonals of any parallelogram will have the same midpoint.

D -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with a right angle must be a rectangle.

E -- When opposite sides are the same length and parallel, the figure is a parallelogram. A parallelogram with equal-length diagonals must be a rectangle.

_____

Additional comment

My favorite method is to show AC = BD and their midpoints are the same. The midpoints of the diagonals being the same makes it a parallelogram, and the same-length diagonals makes the parallelogram a rectangle.

the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?

Answers

Answer:

Denote B(x, y), we have:

-10 + x = 2 x (-16) => x = -22

  8 + y = 2 x 6 => y = 4

=> B(-22, 4)

Hope this helps!

:)

Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!

Answers

Answer:

C.  [tex]\frac{\sqrt{5} }{8}[/tex]

Step-by-step explanation:

This expression can be rewritten as [tex]\frac{\sqrt{5} }{\sqrt{64} }[/tex].

Since the square root of 5 is prime and does not have any perfect square factors, it cannot be simplified. However, the square root of 64 is equal to 8, so our final simplified radical expression would be [tex]\frac{\sqrt{5} }{8}[/tex], which is option C.

HOPE THIS HELPED! :)

Answer:

C is the answer

Step-by-step explanation:

You have to rewrite as [tex]\sqrt{5}[/tex]/[tex]\sqrt{64}[/tex]. Then you have to simplify the denominator which is 8. That is how you get your answer.

Hope this helps.

what is this phrase in numerical expression

triple the sum of seventeen and ten

pls help

Answers

Answer: so you would do 17 plus ten which is 27 so triple 3 so your answer is 27^3

Step-by-step explanation:

sum so your adding plus you need the exponent which is times 3

Tate is paid $17.35 per hour with time and a half overtime. What will his gross pay period in which he worked 35 hours one week and 44 hours next week for a total 79 hours?

Answers

Answer:

The new rule has a higher salary level for exemption from overtime, at $684 a week. This means that lower-pay exempt employees may qualify for overtime.

Step-by-step explanation: this is your answer plz rate e the most brainlest

How many boys are there in an introductory geology course if 360 students are enrolled and there are five boys to every seven girls?

Answers

Answer:150 branliest

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

360/(5+7)=30

30*5=150

Which fraction equals a repeating decimal?
30/50
13/25
5/30
13/10

Answers

Answer:

5/30

Step-by-step explanation:

5/30 = 1/6 =0.166666666...

The fraction equals a repeating decimal is 5/30.

What are decimals?

A decimal numeral system is the standard system for denoting integer and non-integer numbers. The way of denoting numbers in the decimal system is often referred to as decimal notation.

Now the given fractions are,

30/50

13/25

5/30

13/10

Converting them into decimals we get,

30/50 = 0.6

13/25 = 0.52

5/30 = 0.1666..

13/10 = 1.3

Thus the repeating decimal is 0.1666..

So, the fraction with repeating decimal is 5/30 = 0.1666..

Thus, the fraction equals a repeating decimal is 5/30.

To learn more about fraction :

brainly.com/question/1301963

#SPJ2

1.(1 0) You measure the distance, l, a projectile travels several times using the same apparatus and find the following values (cm): 5.11, 4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors are random: a) What is the mean value forl? b) What is the standard deviation for this data set? c) What is the uncertainty associated with your best estimate forl? d) How should one report the result of this measurement along with the uncertainty at the 95 % confidence level? e) If you desire to reduce the statistical uncertainty associated with the reported result using the same apparatus to be only 0.01 cm, how many measurements must be made?

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

A bag contains 10 Yellow, 4 Green and 7 Blue marbles. Find the following probabilies.
P(blue)

Answers

Answer:

1/3

Step-by-step explanation:

The total number of marbles

10+4+7 = 21

P(blue) = blue marbles / total marbles

            = 7 / 21

            = 1/3

If you flipped a fair coin 18 times about how many times would you expect heads to appear?

Answers

Answer:

9 times

Step-by-step explanation:

hope this helps

Answer:

9

Step-by-step explanation:

Mathematically, 9, although reality wise, you could flip the coin and get heads every time, or the opposite.

I think you mean mathematically though, so yes, it would be 9.

A spinner is divided into 8 equal sections numbered 1 to 8. About how many times would you expect the pointer to land on a number less than 6 if the pointer is spun 30 times.

Answers

Answer:

The answer is

6.25×30= 18.75

I'm not sure but this is what I think

If you roll a die three times, what is the probability of rolling three ONES?

(Give your answer as a decimal, rounded to the nearest thousandth. That is, rounded to three decimal places.)

Answers

Answer:

0.004

Step-by-step explanation:

The probability of rolling any number is 1/6 so that times 3 is 1/216 that as a decimal i 0.004

Trisomy 18 (T18) is a rare genetic disorder that severely disrupts a baby's development prior to birth. Many die before birth and most die before their first birthday. T18 occurs in only 1 in 2500 pregnancies in the U.S. A genetic test on the mother's blood can be done to test for T18 in her baby. The overall probability of a positive test result is 0.010384. The probability of a positive test result for a baby with T18 is 0.97. The probability of a negative test result for a baby without T18 is 0.99. A mother's blood tests positive for T18. What is the probability that her baby has T18

Answers

Answer:

3.74% probability that her baby has T18

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: The baby having T18.

T18 occurs in only 1 in 2500 pregnancies in the U.S.

This means that [tex]P(B) = \frac{1}{2500} = 0.0004[/tex]

The probability of a positive test result for a baby with T18 is 0.97.

This means that [tex]P(A|B) = 0.97[/tex]

The overall probability of a positive test result is 0.010384.

This means that [tex]P(A) = 0.010384[/tex]

What is the probability that her baby has T18

[tex]P(B|A) = \frac{0.0004*0.97}{0.010384} = 0.0374[/tex]

3.74% probability that her baby has T18

How do I type in exponents

Answers

Answer:

on what

Step-by-step explanation: normaly you have a button that you can have certain characters

Points X( -6, -4), Y( -2, -8), Z( 2,-4) are the vertices of a right triangle. What is the area of XYZ? Round to the nearest tenth.

Answers

Answer:

16

Step-by-step explanation:

distance between point x and z is 8 units

distance between point z and y is 4 units

8 * 4 = 32

formula for area of a triangle (l * w)/2

plugin: (8 * 4)/2 = 16

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

Option D: 5591.93

Step-by-step explanation:

The best way to understand this question is to apply the formula in an indirect manner;

P - Principle number, Starting Value

T - Time

I - Interest

Let us convert the interest into decimal form, such that 3.8% is shifted two decimal points to the right ⇒ 0.038. Now add 1 to this value to get ⇒ 1.038. By PEDMAS, you would first raise this value to the span of 3 years as such:

(1.038)^3 = 1.118386872.......

The final step would by to multiply the starting value (investment $) $ 5,000 by this continuing value of 1.118386872:

5,000(1.118386872) = 5591.93436 ⇒ Rounded to (About) 5591.93

Answer:D

Step-by-step explanation:

principal=p=$5000

Rate=r=3.8%

Time=n=3 years

amount=a

a=p(1+r/100)^n

a=5000(1+3.8/100)^3

a=5000(1+0.038)^3

a=5000(1.038)^3

a=5000 x 1.038 x 1.038 x 1.038

a=5591.93

a=$5591.93

The Sears Tower, at 1,451 feet, is one of the tallest structures in the United States. A penny is thrown from the top of the tower. The height, h, of the penny is recorded after each second, t, in the table. Write an equation for the curve of best fit, then find the approximate height of the penny after 7 seconds.

Answers

Answer:

The equation for the height of the penny in function of time is:

[tex]h(t)=1451-16t^2[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

Step-by-step explanation:

The penny will have a free fall.

The initial velocity is zero, and the initial height is h(0)=1,451.

The acceleration will be the gravity, that has a value g=32 ft/s^2.

Then, we can model this starting by the speed:

[tex]dv/dt=-g\\\\v(t)=v_0-gt=-gt[/tex]

Then, the height becomes:

[tex]dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2[/tex]

The approximate height of the penny after 7 seconds can be calculated as:

[tex]h(7)=1451-16(7^2)=1451-16*49=1451-784=667[/tex]

After 7 seconds, the penny will be at a height of 667 feet.

Consider the graph of the exponential function, y =3(2)^x. The x- intercept of the graph is

Answers

Answer:

the x intercept is 2

Step-by-step explanation:

I just went over this unit

Answer:

2

Step-by-step explanation:

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03? Use a 95% confidence level. (Round your answer up to the nearest whole number.)

Answers

Answer:

A sample size of 657 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

In the past, 19% of all homes with a stay-at-home parent had the father as the stay-at-home parent.

This means that [tex]\pi = 0.19[/tex]

(a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.03?

A sample size of n is needed.

n is found when [tex]M = 0.03[/tex]

Then

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.19*0.81}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.19*0.81}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.19*0.81}}{0.03}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.19*0.81}}{0.03})^{2}[/tex]

[tex]n = 656.91[/tex]

Rounding up to the nearest whole number.

A sample size of 657 is needed.

A sphere is inscribed in a cube. Explain the relationship between the surface areas of the two solid figures

Answers

Answer:

No one knows. Jk just go look at the other brainly links. the question has already been asked and answered so you can go see them there.

Step-by-step explanation:

:)

Find the surface area of the pyramid to the nearest whole number.

Answers

Answer:

i think its 248m^2

Step-by-step explanation:

Rewrite the percentage in the sentence below as a decimal.
The 20 overseas investors own 7.2% of the business.

Answers

Answer:

0.072

Step-by-step explanation:

Answer:0.072

Step-by-step explanation:

7.2% = 7.2/100

7.2 ➗ 100=0.072

please answer these, it is urgent

Answers

Answer: 1 is D

2 is c

Step-by-step explanation:

Shira packs 170 lemon bars in boxes for the bake sale. Each box holds 8 lemon bars. She takes home the lemon bars tha are leg over after she has filled as many boxes as possible. Ahora use partial quotients to find how many boxes of lemon bars she can fill to sell at the bake sale. She finds only two partial quotients when she divides. Use the numbers in the box to answer the questions
1 2 7 8 20 21 23 27 29

Answers

Question:

1. How many full boxes of lemon bars can Shira fill?

2. How many delicious lemon bars will she be taking home?

Answer:

1. Number of filled box = 21

2. Number of take home = 2

Step-by-step explanation:

Given

Number of lemon bars = 170

Each bar contains 8 lemon bars

Required

(1) & (2)

To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .

i.e.

Number of filled box = 170/8

Number of filled box = 21.25

But here, we only need the quotient of the division because it represents the filled boxed.

So,

Number of filled box = 21

Calculating the number of take home.

We'll follow the same steps as (1) above but here, we only need the remainder of the division.

When 170 is divided by 8, the remainder is 2.

So, number of boxes she'll take home is 2.

See calculation below

Number of take home = 170 % 8

Number of take home = 2

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