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3 years ago

Solve ay + b = cx for y

Mathematics

1 answer:

meriva3 years ago

5 0

Answer:

The answer is A

Step-by-step explanation:

ay+b=cx

ay=cx-b

y=cx-b/a

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Mary earns $12.50 an hour cleaning houses if she works from 8:00 3:00 how much money will she make

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She earn 87.50 for that many hours

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3 years ago

Read 2 more answers

Is y = 6x direct, inverse or neither?

Morgarella [4.7K]

Direct variation always has the relationship y=kx. Indirect inverse variation always has the relationship y=k/x.

In this case y=kx, where k=6, so this is a direct variation.

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3 years ago

If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?

ludmilkaskok [199]

Answer:

(f⋅g)(x)=8x^2−2x−15

Step-by-step explanation:

To find the expression (f*g)(x), multiply f(x) into g(x) using the distribution property.

(f*g)(x) = (2x - 3)(4x + 5) = 8x² - 12x + 10x - 15 = 8x² - 2x - 15

5 0

3 years ago

The volume of the triangular prism is 54 cubic units.

OverLord2011 [107]

Answer:

x = 3

Step-by-step explanation:

Given:

The volume of the triangular prism : 54 cubic units
The base length: 4 unit
The height of the base: x
The height of the prism : 3x

As we know that, the formula used to find out the volume of a triangular prism is:

V = 1/2 * The base length * The height of the base * The height of the prism

<=> V = 1/2*4*x*3x

In this question we have V = 54 cubic units

<=> 1/2*4*x*3x = 54

<=> $x^{2}$ = 9

<=> x = 3

4 0

2 years ago

A well known pharmaceutical manufacturer is manufacturing a newly developed vaccine, and is concerned about variability in the i

Lana71 [14]

Answer:

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

$X^2 = 13.74$

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

Step-by-step explanation:

From the question we are are told that

The variance is $\sigma ^2 = 1.9$

The sample size is n = 30

The sample variance is $s^2 = 0.9$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \ \sigma^2 = 1.9$

The alternative hypothesis is $H_a : \ \sigma^2 \ne 1.9$

Generally the test statistics is mathematically represented as

$X^2 = \frac{ (n- 1 ) * s^2 }{ \sigma^2 }$

=> $X^2 = \frac{ (30 - 1 ) * 0.9 }{1.9 }$

=> $X^2 = 13.74$

Generally from the degree of freedom is mathematically represented as

$df = n- 1$

=> $df = 30 - 1$

=> $df = 29$

Generally from the chi distribution table the critical value of $\frac{\alpha}{2} \ and \ 1 - \frac{ \alpha }{2}$ at a degree of freedom of $df = 29$ is

$X^2 _{ \frac{\alpha }{2} , df } = X^2 _{ \frac{0.05 }{2} , 29 } = 45.7$

=> $X^2 _{ 1 - \frac{\alpha }{2} , df } = X^2 _{1 - \frac{0.05 }{2} , 29 } = 16.0 5$

Gnerally from the values obtained we see that

$X^2 < X^2 _{ 1 - \frac{\alpha }{2} , df }$ hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is no sufficient evidence to conclude that the variance of the immune response is equal to 1.9.

6 0

2 years ago