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Softa [21]
3 years ago
12

What is x in the equation, x - 32 = 68 - 4x

Mathematics
1 answer:
shepuryov [24]3 years ago
4 0
X - 32 = 68 - 4x
+32 +4x       + 32 +4x
____________
5x = 100
---     -----
 5        5
x = 20
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Solve for x. Show your work.
Korvikt [17]

Answer:

x=6

Step-by-step explanation:

The sum of the angles is a right angle, which is 90 degrees

5x+ x+54 = 90

Combine like terms

6x+54 = 90

Subtract 54 from each side

6x+54-54 = 90-54

6x = 36

Divide each side by 6

6x/6 = 36/6

x= 6

3 0
3 years ago
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar
ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let \mu = <u><em>mean waiting time for bus number 14.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 10 minutes      {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, H_A : \mu < 10 minutes    {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean waiting time = 7.8 minutes

             s = sample standard deviation = 2.5 minutes

             n = sample of different occasions = 18

So, <u><em>test statistics</em></u> =  \frac{7.8-10}{\frac{2.5}{\sqrt{18} } }  ~ t_1_7

                              =  -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0
4 years ago
Which of the following is the equation for the graph shown?<br> PLS HELP... NEED ANSWER ASAP
lord [1]

Answer:

D the last one

Step-by-step explanation:

3 0
3 years ago
Type the number in scientific notation<br> 97,040,000<br><br> PLSSS HELP IM FAILING
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3400000 in scientific notation
8 0
3 years ago
Answer asap please ​
sergeinik [125]

Answer:

t = 0

If the loan is to be paid in 0 months, the amount is very large

m = 50

Of the loan is to be paid in an indefinite amount of time, monthly payment would be 50

Step-by-step explanation:

(12000 + 600t)/12t

1000/t + 50

Asymptotes:

t = 0

If the loan is to be paid in 0 months, the amount is very large

m = 50

Of the loan is to be paid in an indefinite amount of time, monthly payment would be 50

3 0
3 years ago
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