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11111nata11111 [884]
3 years ago
9

Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 +

8) ^ 2 sqrt(21) . sqrt(13 + 8) E. 10.5
Mathematics
1 answer:
Fantom [35]3 years ago
8 0

Answer:

(B)\sqrt{21}\\(C)\sqrt{13+8}

Step-by-step explanation:

Given the expression (13 + 8) ^{1/2}

Using law of indices: a^{1/2}=\sqrt{a}

(13 + 8) ^{1/2}=\sqrt{13+8}

Also:13+8=21

Therefore:

(13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}

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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

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9 months ago
I don’t really get number 4
Oduvanchick [21]

Answer:

C

Step-by-step explanation:

Since the 7 swim teachers had about the same amount of students, you can divide 137 by 7, which comes out to about 20.

7 0
2 years ago
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What is the inverse of the function f(x) = 2x - 10?
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F-1(x)=x/2+5
explanation:
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Pls help me:) <br> A-(4•7)^-4<br> B-1/28^2<br> C-7^-2/4^2<br> D-(4•7)^4
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Answer:

\frac{1}{(28)^{2} }

Step-by-step explanation:

Step 1;

Write expression

4^{-2} . 7^{-2\\\frac{\frac{1}{4^{-2} } }{y\frac{1}{7^{-2} } } }

\frac{1}{4^{2} .7^{2} }

\frac{1}{(4x7)^{2} }

\frac{1}{(28)^{2} }

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1 4 cm 4 cm 5 cm 3 cm Perimeter: Area:​
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Answer:

Step-by-step explanation:

840

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