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AlekseyPX
3 years ago
8

The TOTAL NUMBER of students who chose the ZOO is how many times as great as the TOTAL NUMBER of students who chose the PLANETAR

IUM?CLASS Students who chose the Zoo Students who chose the Museum Students who chose the Planetarium CLASS
Students who chose the Zoo

Students who chose the Museum

Students who chose the Planetarium

A

10

9

8

B

8

11

11

C

12

8

5

D

6

10

8
Mathematics
1 answer:
ycow [4]3 years ago
3 0
Okay I just do part A as an example.

The number of students who chose the zoo, students who chose the museum, and students who chose the planetarium is 10, 9, and 8 respectively.

10 students /8 students= 1.25.

The number of students who chose the zoo is 1.25 times as many as the students who chose the planetarium.

We do the same thing for B, C, and D.

Hope this helps~


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the drama club ordered 15 pizzas for the cast party if the 25 members ate 12 1/2 pizzas out of the 15 how much pizza did each ca
iogann1982 [59]
So we're going to divide those 12-and-a-half by 25 members to find how much each member ate. 12-and-a-half converted into a decimal is 12.50, and 12.50 divided by 25 is 0.5.

Each member had 0.5 of a slice of a pizza, or fraction-wise, each member had half a slice of pizza.
6 0
3 years ago
Assume that the one-way commute time of an UoU student from his house to school is a normally distributed random variable which
Marizza181 [45]

Answer:

n=(\frac{1.960(10)}{5})^2 =15.36 \approx 16

So the answer for this case would be n=16 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=10 represent the sample standard deviation

n represent the sample size  

ME=5 represent the margin of error

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (2)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (3)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.96, replacing into formula (3) we got:

n=(\frac{1.960(10)}{5})^2 =15.36 \approx 16

So the answer for this case would be n=16 rounded up to the nearest integer

3 0
3 years ago
Find the area of the triangle. A= 125°, b= 9, c= 6
Semmy [17]

The area of given triangle is: 22.1184

Step-by-step explanation:

When we only know two sides of a triangle and the included angle then the area of triangle is given by:

A = \frac{1}{2} * side\ 1 * side\ 2 * angle

Given

b = 9

c = 6

∠A = 125°

So the formula will be:

A = \frac{1}{2} bc * sin\ A\\A = \frac{1}{2} * 9 * 6 * sin\ 125\\A = 27 * 0.8192\\A = 22.1184

Hence,

The area of given triangle is: 22.1184

Keywords: Triangle, Area

Learn more about triangle at:

  • brainly.com/question/4706270
  • brainly.com/question/4710621

#LearnwithBrainly

6 0
3 years ago
If this sun is 66° above the horizon, find the length of the shadow cast by a building 61 feet tall. Round your answer to the ne
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Answer:

27.2 ft

Step-by-step explanation:

We solve using the Trigonometric function of tan

tan θ = Opposite/Adjacent

θ = 66°

Opposite = Height of the building = 61 ft

Adjacent = Length of the shadow = ? = x

tan 66 = 61/x

Cross Multiply

tan 66 × x = 61

x = 61 ft/tan 66

x = 27.158949804 ft

Approximately = 27.2 ft

The length of the shadow = 27.2 ft

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Stefan sells Jin a bicycle for ​$103 and a helmet for ​$18. The total cost for Jin is 110​% of what Stefan spent originally to b
qaws [65]
He made $217 for the product
6 0
3 years ago
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