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3 years ago

Solve negative 7 over 3, the whole multiplied by x minus 3 equals negative 52.

Mathematics

1 answer:

WITCHER [35]3 years ago

5 0

Answer:

x= $\frac{135}{7}$

Step-by-step explanation:

1. $-\frac{7}{3} (x-3)=-52$

2. combine -7/3(x - 3)

= $-\frac{7}{3}x-7 = -52$

3. Do combine like terms on both sides

= -52 + -7 = -45

4. left with, $-\frac{7}{3}x = -45$

5. divide -45 by -7/3

6. left with, $x = \frac{135}{7}$

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A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.

denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let $\mu$ = population mean light bulb life.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 500 hours {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, $H_A$ : $\mu$ < 500 hours {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean bulb life = 490 hours

σ = population standard deviation = 50 hours

n = sample of light bulbs = 100

So, the test statistics = $\frac{490-500}{\frac{50}{\sqrt{100} } }$

= -2

The value of z test statistics is -2.

Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

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3 years ago

Question 3

nalin [4]

Answer:

idk

Step-by-step explanation:

i+d+k= idk

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3 years ago

The equation a = 1300(1.02)7 is being used to calculate the amount of money in a savings account. what does 1.02 represent in th

yaroslaw [1]

For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
The given equation is:
a = 1300 (1.02) ^ 7
Where,
b = 1.02
It represents a growth of 2% on the initial amount.
Answer:
1.02 represented in this equation a growth of 2% on the initial amount.

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Brianna received pledge amounts of $89, $35, $22, $36,

Alex17521 [72]

Answer:mean

Step-by-step explanation: I am also not sure because I been looking for the anwser to this but I think it’s mean

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Math help. Solve for x

Dafna1 [17]

X=2 $\sqrt{3}$

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