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3 years ago

In a week,13 hens laid 78 eggs. What is the unit rate for eggs per hen?

Mathematics

2 answers:

sergeinik [125]3 years ago

8 0

78/13 convert to decimal
6 eggs per hen per week

AysviL [449]3 years ago

6 0

78 eggs / 13 hens= 6 eggs per hen hope this helps

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A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise

DiKsa [7]

Answer:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, we failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

Step-by-step explanation:

Refer to the attached data.

The Null and Alternate hypothesis is given by

Null hypotheses = H₀: μ₁ = μ₂

Alternate hypotheses = H₁: μ₁ ≠ μ₂

The test statistic is given by

$t = \frac{\bar{x}_1 - \bar{x}_2}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

Where $\bar{x}_1$ is the sample mean of people who do not exercise regularly.

Where $\bar{x}_2$ is the sample mean of people who do exercise regularly.

Where $s_1$ is the sample standard deviation of people who do not exercise regularly.

Where $s_2$ is the sample standard deviation of people who do exercise regularly.

Where $n_1$ is the sample size of people who do not exercise regularly.

Where $n_2$ is the sample size of people who do exercise regularly.

$t = \frac{72.7 - 69.7}{\sqrt{\frac{10.9^2}{16} + \frac{8.2^2}{12} } }$

$t = 0.83$

The given level of significance is

1 - 0.95 = 0.05

The degree of freedom is

df = 16 + 12 - 2 = 26

From the t-table, df = 26 and significance level 0.05,

t = 2.056 (two-tailed)

Conclusion:

We Reject H₀ if t calculated > t tabulated

But in this case,

0.83 is not greater than 2.056

Therefore, We failed to reject H₀

There is no difference between the mean pulse rate of people who do not exercise and the mean pulse rate of people who do exercise.

4 0

2 years ago

How to factor the gcf out of a polynomial

Ann [662]

Step-by-step explanation:

$15x^6+6x^4+9x^3\\\\\text{Find GCF of 15, 6 and 9:}\\\\15=\boxed3\cdot5\\6=\boxed3\cdot2\\9=\boxed3\cdot3\\\\GCF(15,\ 6,\ 9)=\boxed3\\\\\text{Find GCF of}\ x^6,\ x^4\ \text{and}\ x^3:\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^6=x^{3+3}=\boxed{x^3}\cdot x^3\\\\x^4=x^{3+1}=x^3\cdot x^1=\boxed{x^3}\cdot x\\\\x^3=\boxed{x^3}\cdot1\\\\GCF(x^6,\ x^4,\ x^3)=\boxed{x^3}\\\\\text{Therefore}\\\\GCF(15x^6+6x^4+9x^3)=\boxed{3}\cdot\boxed{x^3}=3x^3\\\\15x^6+6x^4+9x^3=3x^3(5x^3+2x+3)$

8 0

3 years ago

Simplify the following expression. 95 + 5[14 - (3 + 8)] A. 140 B. 190 C. 220 D. 110

kherson [118]

Answer:

The answer is D. 110

Step-by-step explanation:

You add 8 and 3 and get 11 first because in parentheses, and then you subtract that by 14, which will give you 3. Then you multiply 3 times 5 to get 15 and add that to 95 to get your answer. Hope this helps!

5 0

3 years ago

Read 2 more answers

When estimating a job to bid, a contractor’s estimator first determines the actual cost of labor using the function L(h) = 28.75

dybincka [34]

Answer:

M(h) = 73.18025h

Step-by-step explanation:

The composite function is ...

M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)

= 1.43(51.175h) = 73.18025h

The composite function is ...