The seating space around the basketball court is shown below:

What is the perimeter of the total area?
m
What is the area of the seating space?
m2

Answer:

1. 336

2. 9

3. 14

Step-by-step explanation:

He wraps 42 gifts/3hours

24 hours is 8 "3 hours"

42 hours per 3 gifts * 8 "3 hours" = 336 gifts

126 gifts is 3 "42 gifts"

3 hours per 42 gifts * 3 "42 gifts" = 9 hours

He wraps 42 gifts/3hours

divide these values by 3 and you get  14 gifts/one hour

14 gifts every one hour

Answer:

A sample of 2017 people should be taken.

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]

Suppose a 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].

Preliminary estimate of the proportion who smoke of .30.

This means that [tex]\pi = 0.3[/tex]

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of .02 (to the nearest whole number)

This is n for which M = 0.02. So

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

[tex]0.02 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.02})^2[/tex]

[tex]n = 2016.84[/tex]

To the nearest whole number, 2017.

A sample of 2017 people should be taken.

Answer:

C) 2/100

Step-by-step explanation:

0.02 = 2/100

Answer:

It Is C

Step-by-step explanation:

Answer:

62.5%

Step-by-step explanation:

There are a total of 8 people on the data plot.

5 of them got 15 questions or more correct, meaning 5/8 people got 15 or more questions correct.

5/8 = 5 ÷ 8

5 ÷ 8 = 0.625

0.625 = 62.5%

Answer:

(4, 4)

Step-by-step explanation:

So you're trying to find what P' is, and P' would be the dilation of P. This means that you apply the rule (x, y) --> (1/4x, 1/4y) with the coordinate point (16, 16). This would be:

(16, 16) --> (1/4 * 16, 1/4 * 16) = (4, 4)

Answer:

you can do a diagram representing this product by drawing a box with six squares and then putting three lines for each box and divide 3÷3 and you will get 5

Answer:

what do you mean by your question I didn't understand it

Answer:

4 × 10²

Step-by-step explanation:

16 x 10^5 ÷ 4 x 10³ = 4 × 10²

4 * 10² is the number when multiplied to 4 * 10³ gives 16 * 10⁵

To divide exponents (or powers) with the same base, subtract the exponents.

Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

The given expression is

4 * 10³ multplies with   ____ =   16 * 10⁵

We have to solve this ,

Let the number be x

4 * 10³ multplies with   __x__ =   16 * 10⁵

x = (16 * 10⁵ )/(4 * 10³)

x= ( 4²  * 10⁵ )/(4 * 10³)

Therefore the numerator and denominator has the same base so

[tex]\rm 4^{2-1} \times 10^{5-3}\\\\\\4^{1} \times 10^{2}\\\\\\4\times 10^{2}[/tex]is the number that when multiplied to   4 * 10³  gives  16 * 10⁵

To know more about Exponent Theorem

https://brainly.com/question/6532227

#SPJ2

Answer:

Known

Step-by-step explanation:

I hope this helps :)

Answer:

Known. The other answers are absurd.

Step-by-step explanation:

In geometry, often times you must have at least one angle to problem solve and find the rest. So having a known angle to build off of is important. Vertical Angles and Supplementary Angles are examples of things that require a known angle to find the rest. Why?

Say you only know one angle and the other is congruent to that angle, but across from it...Due to the theory of vertical angles, you now know the other side has to be the same/congruent. For supplementary angles, say you're dealing with a shape like the one I've attached. Once you have a or b, you can determine c. You have to know at least one of those angles to determine it's other unknown angles.

Answer:

false

Step-by-step explanation:

There's going to be some variabilty between the sample and population percentages, cus the sample only contains part of of the population. Even if it is a well designed survey, it doesn't affect this, because no matter how good the sample is, there will always be variability between the two (unless the sample includes the whole population). I hope this helps :)

Hello!

a. 10

b. 1

c. -11

To evaluate f(x) at a certain x, you simply substitute that value of x into the equation for x.

For example:

a. f(x) = 2x, find f(5)

Plug in 5 for x into f(x):

f(5) = 2(5) = 10.

b. f(x) = 4x + 5, find f(-1)

f(-1) = 4(-1) + 5 = 1

c. f(x) = -3x - 5, find f(2)

f(2) = -3(2) - 5 = -11

Answer:

3,5

Step-by-step explanation:

Answer:

94.5

Step-by-step explanation:

Answer:

The median of A is the same as the median of B.

The interquartile range of B is greater than the interquartile range of A.

Step-by-step explanation:

Given that:

A = number of runs allowed in first 9 games

A = {1, 4, 2, 2, 3, 1, 1, 2, 1}

Rearranging A : 1, 1, 1, 1, 2, 2, 2, 3, 4

Median A = 1/2(n + 1) th term

Median A = 1/2(10) = 5th term = 2

Q1 of A = 1/4(10) = 2.5th term = (1 + 1)/ 2 = 1

Q3 of A = 3/4(10) = 7.5th term = (2+3)/2 = 2.5

Interquartile range = Q3 - Q1 = 2.5 - 1 = 1.5

Number of runs allowed in 10th game = 9

B = {1, 4, 2, 2, 3, 1, 1, 2, 1, 9}

Rearranging B = 1, 1, 1, 1, 2, 2, 2, 3, 4, 9

Median A = 1/2(n + 1) th term

Median A = 1/2(11) = 5.5th term = (2+2)/2 = 2

Q1 of A = 1/4(11) = 2.75th tetm = (1 + 1)/ 2 = 1

Q3 of A = 3/4(11) = 8.25th term = (3+4)/2 = 3.5

Interquartile range = Q3 - Q1 = 3.5 - 1 = 2.5

Median A = 2 ; median B = 2

IQR B = 2.5 ; IQR A = 1.5 ; IQR B > IQR A

Answer:

σX​ = 3161

Step-by-step explanation:

The standard deviation is the square root of the multiplication of each probability multiplied by the squared difference between the values and the mean.

In this question:

[tex]\sigma X = \sqrt{0.999*(200-100)^2 + 0.001*(-99800-100)^2} = 3160.7[/tex]

Rounding to the nearest dollar, σX​ = 3161

Answer:

A = 254.34

Step-by-step explanation:

Area of a circle formula:

A = πr²

r = d/2 = 9

A = 3.14(9²)

A = 3.14(81)

A = 254.34

Answer:

254.34

Step-by-step explanation:

Good luck!

Answer: 20

Step-by-step explanation: it is 20 because 2 negative numbers multiplied by each other will always be positive

Answer:

Step-by-step explanation:

Rule for rounding:

What numbers in hundredths can be rounded to 14.5?

and

From above we see that:

Answer:

141

Step-by-step explanation:

Area of triangle = 24

Area of Trapezoid= 117

117+24

141

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

[tex] = \frac{1}{2} (AB + AD) \times AB \\ \\ 525= \frac{1}{2} (37+ AD) \times21\\ \\ 525 \times 2= (37+ AD) \times21 \\ \\ 1050 = 21 \times 37 + 21AD \\ \\ 1050 = 777+ 21AD \\ \\ 21AD = 1050 - 777 \\ \\ 21AD = 273 \\ \\ AD = \frac{273}{21} \\ \\ AD = 13[/tex]

Answer:

105/4 ft^2

Step-by-step explanation:

Multiply length and width: 7*15/4 = 105/4 ft^2

Answer:

Hike 1 : 768, -96, 672

Hike 2: -62, 82, 20

Hike 3: 62, -100, -38

Hike 4: 354, -225, 129

Hike 5: -20, -40, -60

The -20 is at what surface level Lin began Hike 5 at. From there, they continued to go in this situation lower by - 40, and arrive at the surface region of -60.

Negative numbers in the present circumstance mean under 0. (Underneath surface region)

Answer:

6.25

Step-by-step explanation:

Answer:

$65

Step-by-step explanation:

$51 + $14

$65

Answer:

$65

Step-by-step explanation:

14+51=61

Answer:

99% of the sample means will fall between 0.93288 and 0.94112.

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 estabilishes 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.

The true mean is .9370 with a standard deviation of 0.0090

This means that [tex]\mu = 0.9370, \sigma = 0.0090[/tex]

Sample of 32:

This means that [tex]n = 32, s = \frac{0.009}{32} = 0.0016[/tex]

Within what interval will 99 percent of the sample means fall?

Between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile.

0.5th percentile:

X when Z has a pvalue of 0.005. So X when Z = -2.575.

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

By the Central Limit Theorem

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

[tex]-2.575 = \frac{X - 0.9370}{0.0016}[/tex]

[tex]X - 0.9370 = -2.575*0.0016[/tex]

[tex]X = 0.93288[/tex]

99.5th percentile:

X when Z has a pvalue of 0.995. So X when Z = 2.575.

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

[tex]2.575 = \frac{X - 0.9370}{0.0016}[/tex]

[tex]X - 0.9370 = 2.575*0.0016[/tex]

[tex]X = 0.94112[/tex]

99% of the sample means will fall between 0.93288 and 0.94112.