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3 years ago

Plz help. I am very stuck. Its due today and I have none to ask help to.

Mathematics

2 answers:

Alex787 [66]3 years ago

7 0

Answer:

For 45 mph the trip time is 9.78 For 55 mph the trip time is 8.36 For 65 mph the trip time is 7.38

Step-by-step explanation:

Make Me brainliest

Nonamiya [84]3 years ago

4 0

Answer:

Hi there!

The correct answers for the question are:

For 45 mph, the trip time is: 9.78

For 55 mph, the trip time is: 8.36

For 65 mph, the trip time is: 7.38

Step-by-step explanation:

The values given to you represent the variable "S" so therefore you just plug in the values into the equation and you get "t"

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2 Does the figure have rotational symmetry? if it does, find the angle of rotation.

inysia [295]

First one is B and second one is d I think

7 0

3 years ago

Read 2 more answers

. For a normal distribution, find the percentage of data that are a. Within 1 standard deviation of the mean.________ b. To the

Bess [88]

Answer:

a. The percentage of data within 1 standard deviation of the mean is 68.26%.

b. The percentage of data to the right of 1.5 standard deviations below the mean is of 93.32%.

c. The percentage of data more than 0.5 standard deviations away from the mean is of 61.7%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. Within 1 standard deviation of the mean

Between $Z = -1$ and $Z = 1$

This is the pvalue of Z = 1 subtracted by the pvalue of Z = -1.

Z = 1 has a pvalue of 0.8413

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

The percentage of data within 1 standard deviation of the mean is 68.26%.

b. To the right of 1.5 standard deviations below the mean

Greater than $Z = -1.5$ , that is, 1 subtracted by the pvalue of Z = -1.5.

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

The percentage of data to the right of 1.5 standard deviations below the mean is of 93.32%.

c. More than 0.5 standard deviations away from the mean

Below $Z = -0.5$ or above $Z = 0.5$ . These percentages are the same, so we find one and multiply by 1.

Below Z = -0.5

This is the pvalue of Z = -0.5, which is 0.3085

0.3085*2 = 0.617

The percentage of data more than 0.5 standard deviations away from the mean is of 61.7%.

5 0

2 years ago

Joan conducted a study to see how common binge drinking is on her college campus. She defined "frequent binge drinking" as havin

jenyasd209 [6]

Answer:

z = -1.66

Step-by-step explanation:

Z-statistic:

$z = \frac{X - p}{s}$

In which X is the found proportion.

p is the mean proportion.

$s = \sqrt{\frac{p(1-p)}{n}}$ is the standard error for the data.

Out of 593 students who replied to her survey, 64 fit this criterion.

This means that $X = \frac{64}{593} = 0.108$

She finds that the proportion of binge drinkers nationally is 13.1%.

This means that $p = 0.131$

Also

$s = \sqrt{\frac{0.131*0.869}{593}} = 0.014$

The z statistic for this data is

$z = \frac{X - p}{s}$

$z = \frac{0.108 - 0.131}{0.014}$

$z = -1.66$

6 0

2 years ago

Choose the correct classification of 2x4 − 8x5 − 2x2 + 5.

Leona [35]

This might be a 5th degree polynomial.

6 0

2 years ago

A shop owner has 500 cans of tomatoes that are near their expiration date.She decides to display them in a triangular pyramid an

Juli2301 [7.4K]

Answer:

How many cans will be on the bottom layer, and will there be any cans left over?

On the bottom layer will be 31 cans and there will be 4 cans left over

Step-by-step explanation:

To resolve this problem we need to know Gauss sum of natural numbers, from k = 1 to n:

∑ $k=\frac{n*(n+1)}{2}$ (1)

We want to know the value of <em>n</em> when the sum is equal or close to 500, so we replace 500 in the equation (1) to find n:

$500=\frac{n*(n+1)}{2}$

$500*2=n*(n+1)$

$1000=n^2+n$

$n^2+n-1000=0$ (2)

We need to use the quadratic formula to resolve the equation (2)

$n=\frac{-b+/-\sqrt{b^{2} -4ac} }{2a}$ (3)

The coefficients according to equation (2) are:

a=1

b=1

c= 1000

Now, using the quadratic formula we can find <em>n </em>:

Positive sign before the square root,

$n_1=\frac{-1+\sqrt{1^{2} -4(1)(-1000)} }{2(1)}$

$n_1=\frac{-1+\sqrt{1 + 4000} }{2}$

$n_1=\frac{-1+63.25}{2}$

$n_1=\frac{62.25}{2}$

$n_1=31.13$

Negative sign before the square root,

$n_2=\frac{-1-\sqrt{1^{2} -4(1)(-1000)} }{2(1)}$

$n_2=\frac{-1-\sqrt{1 + 4000} }{2}$

$n_2=\frac{-1-63.25}{2}$

$n_2=\frac{-64.25}{2}$

$n_2=-32.13$

The negative term doesn't have sense in this case, We will use the positive term, the whole number closest to the answer we got when clearing n is 31, we will replace n=31 in the Gauss sum of natural numbers equation. (1)

∑ $=\frac{n*(n+1)}{2}$

∑ $=\frac{31*(31+1)}{2}$

∑ $=\frac{31*(32)}{2}$

∑ $=\frac{992}{2}$

∑ $=496$

Now, we know the triangular pyramid will be 31 cans on the bottom layer and there will be 4 cans left over (500-496=4)

6 0

3 years ago