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3 years ago

Anyone got the answers for b and c

Mathematics

1 answer:

BaLLatris [955]3 years ago

5 0

For letter b:

First times 5 on both sides to get rid of the denominator of 5

5 * y
— = 4 * 5
5

Then the answer is

y = 20

For letter c:

First move constants on one side, variables on the other

2g = 17 - 8

Then collect like terms:

2g = 9

Then divide both sides which would equal:

g = 9/2

You might be interested in

How do I write the number 17,497,403 well i know how to do it inside standard but my equation says “Write the number Seventeen m

MrRa [10]

Step-by-step explanation:

Standard form is of course 17,497,403.

Expanded form is:

10,000,000 + 7,000,000 + 400,000 + 90,000 + 7,000 + 400 + 3

7 0

3 years ago

How much money has to be invested at 2.3% interest compounded continuously to have $41,000 after 17 years?

Llana [10]

For this, we have to calculate how much money has to be invested at 2.3% interest compounded continuously to achieve $41,000 after 17 years

Formula: A= P * ( 1+r)^t
A= $41,000
r=0.023
t= 17
<span>41,000= P * (1+0.023)^17
</span>41,000= P * (1.023)^17
41,000= P * 1.4719
P= 41,000 : 1.4719
P= $27,731.59
Therefore, the answer is C. $27,731.59
I checked by doing the opposite, and I got $41,000.01, which is the closest to the question<span>
</span>

7 0

3 years ago

-6x-14y=-20<br> -3x-7y=-10

Alex Ar [27]

ANSWER:

x = 10 / 3

y = 0

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.

Equation No. 1 -

- 6x - 14y = - 20

Equation No. 2 -

- 3x - 7y = - 10

First, we will make ( x ) the subject in the first equation and simplify accordingly.

Equation No. 1 -

- 6x - 14y = - 20

- 6x = - 20 + 14y

x = ( - 20 + 14y ) / - 6

x = ( - 10 + 7y ) / - 3

From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.

Equation No. 2 -

- 3x - 7y = - 10

- 7y = - 10 + 3x

- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]

- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]

- 7y = - 10 + ( 10 - 7y )

- 7y = - 7y

- 7y + 7y = 0

0y = 0

y = 0

Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.

x = ( - 10 + 7y ) / - 3

x = [ - 10 + 7 ( 0 ) ] / - 3

x = [ - 10 + 0 ] / - 3

x = - 10 / - 3

x = 10 / 3

6 0

2 years ago

A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does

mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

$H_0: p = 0.5$

At the alternative hypotheses, we test if it does not equal, hence:

$H_1: p \neq 0.5$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

For this problem, the parameters are given by:

$n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5$

Hence the test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ4

5 0

1 year ago

Image attached, please help.

tia_tia [17]

Answer:

B 3x: 51 = 3x+24: 85

Step-by-step explanation:

Since the triangles are similar

PS PQ

------- = -----------

PT PR

Substitute the values in

3x 3x+24

------- = -----------

51 85

3x: 51 = 3x+24: 85

4 0

2 years ago