What is the area of the shape below?

Nitella [24]

It has to be the first one

3 0

2 years ago

The student at Abu 's School voted for a new school mascot. 60% of the students voted to be the Falcons. If there are 595student

aniked [119]

Answer:

<h2><u>Given</u><u> </u><u>:</u><u>-</u></h2>

There are 595 total students in the school .
60% of the total students voted to be the falcons .

$\large\bf{\underline{To \:find }}$

How many students voted not to be in falcon ?

$\large\bf{\underline{Therefore }}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 100 - 60 = 40

40% of the total students voted not be in falcon

$\large\bf{\underline{Hence }}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 40% of 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= \frac{40}{100} \times 595$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $=2 \times 119$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $= 238$

$\bf{\underline{So , 238 \: students \:voted \:not\:to \:be\:in\: falcon }}$

7 0

2 years ago

Which linear function represents the line given by the point-slope equation y-8=

Nina [5.8K]

Answer:

$f(x)=x+4$

Step-by-step explanation:

we have

$y-8=(x-4)$

This is the equation of the line in point slope form

where

The slope is m=1

The point is (4,8)

Convert to slope intercept form

Isolate the variable y

Adds 8 both sides

$y-8+8=x-4+8$

Combine like terms

$y=x+4$

Convert to function notation

$f(x)=x+4$

5 0

3 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, two ind

liberstina [14]

Answer:

Step-by-step explanation:

Hello!

You have two populations of interest and want to compare them. If you define the study variables as:

X₁: average hourly wages of an employee of the Downtown store.

n₁= 25

X[bar]₁= $9

S₁= $2

X₂: average hourly wages of an employee of the North Mall store.

n₂= 20

X[bar]₂= $8

S₂= $1

Both samples taken are independent, assuming that both populations are normal and that their population variances are equal I'll use the Student's-t statistic with a pooled sample variance to calculate the Confidence interval:

95% CI for μ₁ - μ₂

(X[bar]₁-X[bar]₂) ± $t_{n_1+n_2-2; 1-\alpha /2} * (Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } )$

$Sa^2= \frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}$

$Sa^2= \frac{24*4+19*1}{25+20-2}= 2.67$

Sa= 1.64

$t_{n_1-n_2-2;1-\alpha /2} = t_{43; 0.975} = 2.017$

(9-8)±2.017* $(1.64*\sqrt{\frac{1}{25} +\frac{1}{20} } )$

[0.007636;1.9923]

I hope it helps!

6 0

2 years ago

Find the distance from (8,-2) to (8,-16)

raketka [301]

Answer:

14

Step-by-step explanation:

- Square root of (x2-x1) squared + (y2-y1) squared

- which is square root of (8-8) squared + (-16-(-2)) squared

-simplify it, then get 14

6 0

2 years ago