10x2 + 99x – 5) ÷ (x + 10) = ?

A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal

juin [17]

Answer: $H_0:p\leq0.72$

$H_a:p\neq0.72$

Step-by-step explanation:

Given : A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% .

Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .

Claim : $p\neq0.72$

We know that the null hypothesis has equal sign.

Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

$H_0:p=0.72$

And the alternative hypothesis must be :-

$H_a:p\neq0.72$

Hence, the null hypothesis and the alternative hypothesis that we would use for this test :

$H_0:p\leq0.72$

$H_a:p\neq0.72$

5 0

3 years ago

Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value. (f - g)(-3)

Nataly [62]

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 2

g(x) = x + 1

Step 2: Find

Find (f - g)(x)

Substitute: (f - g)(x) = 4x - 2 - (x + 1)
Distribute -1: (f - g)(x) = 4x - 2 - x - 1
Combine like terms: (f - g)(x) = 3x - 3

Find (f - g)(3)

Substitute: (f - g)(3) = 3(3) - 3
Multiply: (f - g)(3) = 9 - 3
Subtract: (f - g)(3) = 6

8 0

2 years ago

Help pls/plz/plx/plszx

rewona [7]

Answer:

(letters are going in order from top to bottom)

Statistical Nonstatistical

A

B

C

D

E

F

6 0

2 years ago

Read 2 more answers

1. What is the slope of the line that passes through the points E(3, 0) and F (6, -3)?

Mama L [17]

Answer:

1. m=- -1 2. -1+1

Step-by-step explanation:

Ok for the first one you need to label 3 x1 0 y1 6 x2

and -3 y2

Next you need to do y2-y1 over x2-x1 so fill that in and your equasion is (-3-0)

------------ = -3

( 6-3) ----

3

That reduces to -1 because -3 divided by 3 is -1

As for number 2 we need to find b to do this pick any of the y's from before we can go with 0 so the 0 is y in the equasion and we already learned slope is -1 so your equasion should be 0=--1+b ok to solve this you need to add -1 to both sides since its a negitive so you add 1 to 0 which is 1 and when you add 1 to -1 it cancells it out so you have 1=b so b is 1 for the equsion you just fill it in so it is y=- -1+1

I hope I helped

5 0

3 years ago

The admission fee at a water park is $12.50 for children and $25.00 for adults On a certain day 352 people entered the park and

N76 [4]

Answer:

Children = 137

Adults = 215

Step-by-step explanation:

The admission fee at a water park is $12.50 for children

and $25.00 for adults.

On a certain day, 352 people entered the park and the admission fees collected totalled $6,687.50

Let the number of children admitted be x ,

and the number of adults admitted be y.

This forms a simultaneous equation:

x + y = 352 ... (i)

$12.50x + $25.00y = $6,687.50 ... (ii)

Multiplyng (i) by 12.50 and (ii) by 1 we get;

12.5x + 12.5y = 4400 ... (i)

12.5x + 25y = 6,687.5 ... (ii)

Subtracting (ii) - (i) we get;

12.5y = 2687.5

y = 215

So the number of adults admitted = 215

And the number of children admitted = 352 - 215 = 137

6 0

3 years ago