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2 years ago

5

During the summer months one ice cream truck visit Janice neighborhood every four days and another ice cream truck visit her nei

ghborhood every seven days if both trucks visited today when is the next time both trucks for a visit on the same day

1 answer:

alisha [4.7K]2 years ago

5 0

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The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

wariber [46]

Answer:

<em>Mean of the sample = 27.83</em>

<em> The variance of the the sample = 106.96</em>

<em> </em><em>Standard deviation of the sample = 10.34</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given random sample of six employees

x 26 32 29 16 45 19

mean of the sample

$x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83$

Mean of the given data = 27.83

<u>Step(ii):-</u>

<u>Given data</u>

x : 26 32 29 16 45 19

x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83

(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689

∑ (x-x⁻)² = 534.8245

Given sample size 'n' =6

The variance of given data

S² = ∑(x-x⁻)² / n-1

$S^{2} = \frac{534.8245}{6-1} = 106.9649$

The variance of the given sample = 106.9649

<u> Step(iii):-</u>

Standard deviation of the given data

$S = \sqrt{variance} = \sqrt{106.9649} =10.3423$

Standard deviation of the sample = 10.3423

8 0

2 years ago

you ride your bike to a store, 4 miles away, to pick up things for dinner. when there is no wind, you ride at 10 mi/h. today you

Tresset [83]

4 miles= (10-s) x 1hr. S could stand for the speed of the wind, since it is taking away from the typical speed of the bike.

3 0

1 year ago

If x varies jointly as y and z, and x = 8 when y = 4 and z = 9, find z when x = 16 and y = 6. 3

Ghella [55]

Answer:

Joint variation says that:

if $x \propto y$ and $x \propto z$

then the equation is in the form of:

$x = kyz$ , where, k is the constant of variation.

As per the statement:

If x varies jointly as y and z

then by definition we have;

$x=k(yz)$ ......[1]

Solve for k;

when x = 8 , y=4 and z=9

then

Substitute these in [1] we have;

$8=k(4 \cdot 9)$

⇒ $8 = 36k$

Divide both sides by 36 we have;

$\frac{8}{3}=k$

Simplify:

$k = \frac{2}{9}$

⇒ $x = \frac{2}{9}yz$

to find z when x = 16 and y = 6

Substitute these value we have;

$16 = \frac{2}{9} \cdot 6 \cdot z$

⇒ $16 = \frac{12}{9}z$

Multiply both sides by 9 we have;

$144 = 12z$

Divide both sides by 12 we have;

12 = z

or

z = 12

Therefore, the value of z is, 12

7 0

2 years ago

Read 2 more answers

The spinner shown has eight equal-sized sections. The pointer lands on an even number 135 times out of 250 spins. Which of the f

forsale [732]

Answer:

A and D

Step-by-step explanation:

Here, we shall be evaluating the validity of the statements;

A. Yes, A is true

There are four even numbers 2,4,6 and 8 and 4 odd number 1,3,5,7; The landing should be equal at 125 each

B. This is wrong

It is supposed to land half of the number of time s which is half of 250 and that is 125

C.This is wrong

The numbers greater than 4 are 5,6,7,8

Now, the probability should be 4/8 = 1/2 and that is 50%

D. This is correct

Number of times we have a landing on odd numbers is 250-135 = 115

The experimental probability of landing on an odd number is thus 115/250 = 0.46 which is 46%

8 0

2 years ago

The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th

Anit [1.1K]

we are given

$a=f(t)=2t^2$

we can use average rate of change formula from t=a to t=b

$A=\frac{f(b)-f(a)}{b-a}$

Here, we are given from t=1 to t=4

so, we will get formula as

$A=\frac{f(4)-f(1)}{4-1}$

now, we can plug values

$A=\frac{2(4)^2-2(1)^2}{4-1}$

now, we can simplify it

$A=10$

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4 is 10 acres/ month.............Answer

6 0

2 years ago