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KengaRu [80]
3 years ago
7

Please help me answer.

Mathematics
2 answers:
ololo11 [35]3 years ago
7 0

Answer:

D. 251.2 feet

Step-by-step explanation:

On carefully observing the diagram,it can be seen that 80 feet is the diameter of the circular ride, i.e.,the circle,in this case.

The radius of the circle will be half the diameter,r=(80/2) feet=40 feet

The distance of one complete loop of this circular path will be the circumference of the circle.

So, Circumference

=2*π*r

=2*3.14*40 feet

=251.2 feet [ANS]

gtnhenbr [62]3 years ago
7 0

Answer:

C

Step-by-step explanation:

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This answer would be 2,463.01 "D"

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20

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The rent in an urban neighborhood is normally distributed. The mean is $650 per month with a standarddeviation of $50. Estimate
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Solution

The z-score, also referred to as standard score, z-value, and normal score, among other things, is a dimensionless quantity that is used to indicate the signed, fractional, number of standard deviations by which an event is above the mean value being measured. Values above the mean have positive z-scores, while values below the mean have negative z-scores.

Mean is $650

Standard deviation = $50

\begin{gathered} \mu=650 \\ \sigma=50 \end{gathered}Z=\frac{x-\mu}{\sigma}=\frac{600-650}{50}=-\frac{50}{50}=-1Z=\frac{x-\mu}{\sigma}=\frac{750-650}{50}=\frac{100}{50}=2

[tex]P(-1

Therefore the estimated percent of apartment residents = 81.86%

4 0
1 year ago
Given the following information about a hypothesis test of the difference between two means based on independent random samples,
HACTEHA [7]

Answer:

S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143

And the deviation would be just the square root of the variance:

S_p=4.259

Then the statistic is given by:

t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674

And the correct option would be:

t = 1.674

Step-by-step explanation:

Data given:

n_1 =13 represent the sample size for group 1

n_2 =10 represent the sample size for group 2

\bar X_1 =12 represent the sample mean for the group 1

\bar X_2 =9 represent the sample mean for the group 2

s_1=5 represent the sample standard deviation for group 1

s_2=3 represent the sample standard deviation for group 2

We are assuming two independent samples from two normal distributions with equal variances we are assuming that  

\sigma^2_1 =\sigma^2_2 =\sigma^2

And the statistic is given by this formula:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

Where t follows a t distribution with n_1+n_2 -2 degrees of freedom and the pooled variance S^2_p is given by this formula:

\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

The system of hypothesis on this case are:

Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 > \mu_2

The pooled variance is given by:

S^2_p =\frac{(13-1)(5)^2 +(10 -1)(3)^2}{13 +10 -2}=18.143

And the deviation would be just the square root of the variance:

S_p=4.259

Then the statistic is given by:

t=\frac{(12 -9)-(0)}{4.259\sqrt{\frac{1}{13}+\frac{1}{10}}}=1.674

And the correct option would be:

t = 1.674

4 0
3 years ago
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