1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Monica [59]
3 years ago
12

a sandbox is in the shape of a right triangle. The two legs measure 9 inches and 16 inches. what is the perimeter of the sandbox

?​
Mathematics
1 answer:
rewona [7]3 years ago
8 0

Answer:

Perimeter = 50 inches

Step-by-step explanation:

Use pythagoreon theorem to find the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 + 25 = perimeter

perimeter = 50

You might be interested in
Nada drives her car at an average speed of 60 miles per hour. She is planning a drive between 150 and 180 miles. Write and solve
tatuchka [14]

The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.

<h3>What is the number of hours it would take Nada to drive?</h3>

Average speed is the total distance travelled per time.

Average speed = total distance / total time

Time = total distance / average speed.

Time if she drives 150 miles = 150 / 60 = 2.5 hours

Time if she drives 180 miles = 180 / 60 = hours

2.5 ≤ x ≤3.

To learn more about average speed, please check: brainly.com/question/21734785

7 0
2 years ago
Y
MakcuM [25]

Answer:a

Step-by-step explanation:

3 0
2 years ago
Y=2x-5<br> 3x+8y+32=56 <br> What does y and x equal?
AVprozaik [17]
Y = 2x - 5
3x + 8y + 32 = 56
3x + 8(2x - 5) + 32 = 56
3x + 8(2x) - 8(5) + 32 = 56
3x + 16x - 40 + 32 = 56
19x - 8 = 56
<u>      + 8   + 8</u>
     <u>19x</u> = <u>64</u>
      19     19
         x = 3.4
y = 2(3.4) - 5
y = 6.8 - 5
y = 1.8
(x, y) = (3.4, 1.8)
5 0
3 years ago
The owner of Matt’s Gas Station wants to study gasoline purchases of customers at his station. In 2017, the mean amount of gas
gulaghasi [49]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 9

For the alternative hypothesis,

µ ≠ 9

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 9

x = 9.9

σ = 2.5

n = 50

z = (9.9 - 9)/(2.5/√50) = 2.55

Looking at the normal distribution table, the probability corresponding to the area above the z score is 1 - 0.99461 = 0.00539

Recall, population mean is 9

The difference between sample sample mean and population mean is 9.9 - 9 = 0.9

Since the curve is symmetrical and it is a two tailed test, the x value for the left tail is 9 - 0.9 = 8.1

the x value for the right tail is 9 + 0.9 = 9.9

These means are higher and lower than the null mean. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area. We already got the area above the z score as z = 0.00539

We would double this area to include the area in the left tail of z = - 2.55. Thus

p = 0.00539 × 2 = 0.01078

Since alpha, 0.01 < 0.01078, we would reject the null hypothesis

But we are told to use the critical value approach, then

Since α = 0.01, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.01/2 = 0.005

The z score for an area to the left of 0.005 is - 2.575

For the right, α/2 = 1 - 0.005 = 0.995

The z score for an area to the right of 0.995 is 2.575

In order to reject the null hypothesis, the test statistic must be smaller than - 2.575 or greater than 2.575

Since - 2.55 > - 2.575 and 2.55 < 2.575, we would reject the null hypothesis. This corresponds to our previous decision.

b) we would assume normal distribution because the sample size is sufficiently large and the population standard deviation is known.

c) Confidence interval is written in the form,

(Sample mean ± margin of error)

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

The z score for confidence level of 99% is 2.58

Margin of error = 2.58 × 2.5/√50 = 0.91

Confidence interval = 9.9 ± 0.91

The lower end of the confidence interval is

9.9 - 0.91 = 8.99

Therefore, p = 9 will be contained in the interval.

4 0
3 years ago
Cheryl climbed a set of stairs and stopped at the middle step. She then walked down 2 steps, up 4 steps, down 3 steps, and up 5
Sedaia [141]

Answer:

There were 8 total steps

Step-by-step explanation:

Okay, so we start in the middle.

-2 + 4 = 2. We're back in the middle.

2 - 3 = -1. One away from the middle.

-1 + 5 = 4. Now you're at the top.

4 x 2 = 8

5 0
3 years ago
Other questions:
  • What is 1/4 of 84? <br> (i'm learning percentage right now if that helps)
    9·1 answer
  • A pound of grapes are $1.98. How much is 2 1/2 lbs?
    14·2 answers
  • Fine the missing angle.. x=??
    7·2 answers
  • Help I need to pass this!!!
    9·1 answer
  • Please help me and no links this is due in 10 mins ill give you the crown
    11·1 answer
  • I would love the help, 13 points !!!!!
    15·2 answers
  • Can some one answer these two questions based on the sentence below:
    8·2 answers
  • Solve the following inequality. Use interval notation. ​
    7·1 answer
  • Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.
    6·1 answer
  • a infant grew 2/4 inches in the first month 7/4 inches in the third month . first find the total inches the infant grew over the
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!