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Elodia [21]
3 years ago
14

What is the side length of one side of the pentagon?

Mathematics
1 answer:
Katen [24]3 years ago
7 0
Answer: 8.5

Step by Step:
6(2x+8)=5(4x-4)
12x+48=-20-48
-8=-68
x=17/2
=8.5
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What is the slope of a line that is perpendicular to the line y = -1/2 x + 5?
timama [110]
The answer is D. 2

The slope of this line is -1/2
Two lines are perpendicular when multiplying their slopes = -1

The only answer that gives this is D:
(-1/2) * 2 = -1
8 0
3 years ago
Suppose a baker claims that his bread height is more than 15 cm, on average. Several of his
yKpoI14uk [10]
  1. Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.
  2. Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For the baker's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ ≤ 15

H₁: μ > 15

Since the standard deviation for the height is given, the population would have a normal distribution, and the population standard deviation is given by:

Population standard deviation = σ/√n

Population standard deviation = 0.5/√10

Population standard deviation = 0.16.

For the p-value, we have:

The p-value is the probability that a sample mean would be the same or greater than (≥) 17 cm. Thus, the p-value is given by:

p-value = P(x > 17) ≈ 0.

Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.

Question 3.

For the oil company's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ = 0.15

H₁: μ > 0.15

<h3>How to calculate value of the z-score?</h3>

The z-score can be calculated by using this formula:

z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of boys.

Substituting the given parameters into the formula, we have;

z=\frac{0.162\;-\;0.15}{\frac{0.04}{\sqrt{40} } }\\\\z=\frac{0.012}{\frac{0.4}{6.3246 } }

z = 0.012/0.0633

z = 0.190.

From the z-table, a z-score of 0.190 is equal to a p-value of 2.37.

For the critical value, we have:

Critical probability (p*) = 1 - α/2

Critical probability (p*) = 1 - 0.1/2

Critical probability (p*) = 0.95.

Hence, the critical value is Zα/2 equal to 1.645.

Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
11 months ago
Latoya buys candy that costs $6 per pound. She will spend more than $54 on candy. What are the possible numbers of pounds she wi
kotegsom [21]

Answer:

11 pounds

Step-by-step explanation:

4 0
2 years ago
The angles below are supplementary. What is the value of x? A pair of supplementary angles is shown. One angle measures 4x + 20,
Mariulka [41]
Since supplementary angles are angles that equal to 180, you first need to subtract 40 from 180 to find out what the equation equals. This is the layout of the equation. 140=4x+20. Next you subtract 20 from each side, 120=4x then you divide by 4 four, x=30.
5 0
3 years ago
Read 2 more answers
Make a conjecture for this scenario <br><br> the sum of the first 100 positive odd numbers
stira [4]

Answer:

10000

Step-by-step explanation:

there is a simple formula to remember.

the sum of n odd number = n^2

so for the sum of 100 positive odd numbers = (100)^2=10000

6 0
3 years ago
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