All categories

3 years ago

If h(r) = 23r − 6, what is the value of h(-9)? Question 5 options: a) 0 b) 12 c) −623 d) -12

Mathematics

2 answers:

Alecsey [184]3 years ago

8 0

Answer:

-213

Step-by-step explanation:

If h(r) = 23r − 6, then, if we choose r = 2 as an example (only), then:

If h(2) = 23(2) − 6 = 46 - 6 = 40

Using the same approach, we substitute -9 for r, obtaining:

If h(-9) = 23(-9) − 6 = -207 - 6 = -213

This does not match any of the given possible answers. Please ensure that you have copied down the problem and possible answers accurately.

In-s [12.5K]3 years ago

6 0

Answer:

-213

not in d option though check d question

Step-by-step explanation:

h(r) = 23r − 6

h(-9) = 23(-9) - 6

= -207 - 6

= -213

You might be interested in

What should i know about algebra 1 before i start

Contact [7]

Answer:nothin much

Step-by-step explanation:

8 0

2 years ago

Dolly gave Molly 6/8 packs of sweets. Molly had 18 packs of sweets. How many packs of sweets did Dolly start out with?

LenaWriter [7]

I think it is 22.5, since molly has 75% of the packs

6 0

3 years ago

Read 2 more answers

Maths question trigonometry help pleassssee

r-ruslan [8.4K]

Answer:

x=4.5

Step-by-step explanation:

Using sohcahtoa we know tangent is equal to (length of side opposite to the angle ) / (lenth of side adjacent to the angle)

therefore: tan (theta) = (x-3) / (x) = 1 / 3

now cross multiply

3(x-3) = x

now solve for x

3x - 9 = x

-9= -2x

x= 4.5

7 0

2 years ago

40.32 is 76.8% of what number?

julsineya [31]

Hey there

Lets solve this question together,

Convert 76.8% to a decimal.

$0.768 * x=40.32$

Multiply 0.768 by x to get 0.768x.

$
0.768x=40.32$

Multiply each term by 1 / 0.768 and simplify.

Cancel the common factor of 0.768.

$x=40.32 / 0.768$

Divide 40.32 by 0.768 to get 52.5

 $x=52.5$

6 0

3 years ago

Read 2 more answers

An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had

Stolb23 [73]

Answer:

Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference

Q2 CI 95 % = ( 0,056 ; 0,164 )

Step-by-step explanation:

Sample information for people under 18

n₁ = 500

x₁ = 180

p₁ = 180/ 500 p₁ = 0,36 then q₁ = 1 - p₁ q₁ = 0,64

Sample information for people over 18

n₂ = 600

x₂ = 150

p₂ = 150 / 600 p₂ = 0,25 then q₂ = 1 - p₂ q₂ = 1 - 0,25 q₂ = 0,75

Hypothesis Test

Null hypothesis H₀ p₁ = p₂

Alternative Hypothesis Hₐ p₁ ≠ p₂

The alternative hypothesis indicates that the test is a two-tail test.

We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.

Testin at CI = 95 % significance level is α = 5 % α = 0,05 and

α/ 2 = 0,025 z (c) for that α is from z-table:

z(c) = 1,96

To calculate z(s)

z(s) = ( p₁ - p₂ ) / EED

EED = √(p₁*q₁)n₁ + (p₂*q₂)/n₂

EED = √( 0,36*0.64)/500 + (0,25*0,75)/600

EED = √0,00046 + 0,0003125

EED = 0,028

( p₁ - p₂ ) = 0,36 - 0,25 = 0,11

Then

z(s) = 0,11 / 0,028

z(s) = 3,93

Comparing z(s) and z (c) z(s) > z(c)

z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means

Q2 CI 95 % = ( p₁ - p₂ ) ± z(c) * EED

CI 95% = ( 0,11 ± 1,96 * 0,028 )

CI 95% = ( 0,11 ± 0,054 )

CI 95 % = ( 0,056 ; 0,164 )

8 0

2 years ago