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3 years ago

8

The sides of the pentagon are consecutive even integers. Find the length of the shortest side if the second longest side is 24%

of the perimeter.
DO NOT WRITE NONSENSE!!!

1 answer:

Digiron [165]3 years ago

5 0

Answer:

Please see the image for solution

Step-by-step explanation:

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Line 1 passes through the points (-4, -6) and (12,2). line 2 passes through the points (-6,-2) and (-2,0). Do the lines intersec

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The lines dont intersect

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2 years ago

In an orchard, there are 6 apple trees for every 4 pear trees. Create a ratio table to determine the number of apple trees in th

tamaranim1 [39]

Answer:

Step-by-step explanation:42 divided by 6= 7 and then times 7 by 4 to get 28 which leaves you with the ratio 2:8

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2 years ago

True or False: The null hypothesis should be rejected at a 10% level of significance when testing whether age has any effect on

olga_2 [115]

Answer:

False

Step-by-step explanation:

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

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2 years ago

A bee flies at 20 feet per second directly to a flower bed from its hive. The bee stays at the flower bed for 15 minutes, and th

oee [108]

Answer:

a. Speed of flight * ( total spent away from hive - time stayed on flower bed)

b. The flower bed is 2,400 ft from the hive

Step-by-step explanation:

a. Mathematically, the distance will be ;

the speed * time taken

Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes

So the distance from the flower bed to the hive is;

Speed of flight * ( total spent away from hive - time stayed on flower bed)

b. We want to find the distance of the flower bed from the hive

That will be;

20 ft per second * 2 minutes (120 seconds)

= 20 * 120 = 2,400 ft

4 0

2 years ago

There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=

yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = $\frac{12P4}{12^{4} }$

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = $\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }$

P(X=2) = 0.401

P(X=3) = $\frac{4C3 * 12P2}{12^{4} }$

P(x=3) = 0.025

P(X=4) = $\frac{12}{12^{4} }$

P(X=4) = 0.001

Mean, $\mu = \sum xP(x)$

$\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879$

Standard deviation, $SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}$

SD = 1.033

4 0

2 years ago