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3 years ago

5

When asked their favorite color, 9 students said blue, 14 students said orange, 6 students said red, and 2 students said green.

Students with which of these favorite colors will be represented by the smallest wedge in a pie chart?

1 answer:

Vitek1552 [10]3 years ago

5 0

Its would be orange because only two people liked it out of all the kids asked.

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The researcher has limited resources. He sends 9 emails from a Latino name, and 14 emails from a non-Latino name. For the Latino

deff fn [24]

Answer: 38.41 minutes

Step-by-step explanation:

The standard error for the difference in means is given by :-

$SE.=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2}}$

where , $\sigma_1$ = Standard deviation for sample 1.

$n_1$ = Size of sample 1.

$\sigma_2$ = Standard deviation for sample 2.

$n_2$ = Size of sample 2.

Let the sample of Latino name is first and non -Latino is second.

As per given , we have

$\sigma_1=82$

$n_1=9$

$\sigma_2=101$

$n_2=14$

The standard error for the difference in means will be :

$SE.=\sqrt{\dfrac{(82)^2}{9}+\dfrac{(101)^2}{14}}$

$SE.=\sqrt{\dfrac{6724}{9}+\dfrac{10201}{14}}$

$SE.=\sqrt{747.111111111+728.642857143}$

$SE.=\sqrt{1475.75396825}=38.4155433158\approx38.41$

Hence, the standard error for the difference in means =38.41 minutes

3 0

2 years ago

Ivan has a summer babysitting job that pays $15 per hour. He wants to know how many hours he has to babysit to afford a new bike

exis [7]

Answer: 20 hours

Step-by-step explanation:

Equation: 15x = 300

Isolate the variable.

Divide both sides by 15: ¹⁵ˣ⁄₁₅ = ³⁰⁰⁄₁₅

x = 20

Ivan needs to work 20 hours in order to afford the bicycle.

8 0

2 years ago

Factorize py+ pz + y² + yz

Troyanec [42]

Answer:

you could either say p(y+z)+y(y+z)or y(p+y)+ z(p+y)

Step-by-step explanation:

I cant really explain it but I hope this helps

6 0

2 years ago

Read 2 more answers

Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and

Anastaziya [24]

The problem is modelled in the first picture shown below

To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.

We use the cosine rule to work out the length AB
$AB^{2}= 75^{2}+ 150^{2}-(2*75*150*cos(60))$
$AB^{2} =28125-11250$
$AB^{2}=16875$
$AB= \sqrt{16875} =130$ (nearest whole number)

The third picture shows the full diagram of the vectors

To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B

Angle A
$\frac{130}{sin(60)}= \frac{75}{sin(A)}$
$130sin(A)=75sin(60)$
$sin(A)= \frac{75sin(60)}{130}$
$sin(A)=0.4996300406$
$A= sin^{-1}(0.4996300406)$
$A=30$ (rounded to nearest whole number)

Angle B
$B=180-60-30=90$

Direction is 60° toward negative x-axis

Answer: Magnitude 130N and direction 60° toward negative x-axis

3 0

3 years ago

Apply the distributive property to factor out the greatest common factor,<br> 60 - 40y =

ASHA 777 [7]

Answer:

GCF = 20

Step-by-step explanation:

he answer would be 20 so then you would get (3-2y) as a final answer

7 0

3 years ago