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3 years ago

Name the set of 4 consecutive integers starting with -4

1 answer:

7 0

-4, -3, -2, -1

Consecutive integers are integers that are exactly one unit away from each other. -4 is one unit away from -3, and likewise with -3 and -2 and -2 and -1.

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What is the value of x?<br><br><br><br> Enter your answer in the box.<br> x =

lukranit [14]

Answer:

x = 24

Step-by-step explanation:

To find the value of x, create a proportion. A proportion is two equal ratios for similar figures. The two triangles are similar because they are the same shape but not the same size. Create ratios between corresponding sides of figures.

$\frac{44.8}{x+4}=\frac{56}{35}$

To solve for x, cross multiply:

44.8(35) = (x+4)(56)

1568 = 56x + 224

1344 = 56x

24 = x

5 0

3 years ago

Help me out please and thank you very much :)

ValentinkaMS [17]

Answer:

3rd

Step-by-step explanation:

The definition of an inverse function is that h(f(x)) = x

Therefore, all we need to do is to plug x + 3 into your option choices to find which one returns x.

Therefore, the third option gives you:

x+3-3 = x

6 0

3 years ago

The count of bacteria in a culture is 10 and doubles every 20 minutes. Find the population size after 11 hours. Can someone expl

RSB [31]

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

<h3>(1) Calculate how many times the bacteria divide in eleven hours</h3>

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

<h3>(2) Add the orginial size of bacteria into the equation</h3>

(This part is edited)

(orginial size)*2^number of divisions

10* $2^{33\\}$

=85899345920

7 0

3 years ago

In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol

uysha [10]

Answer:

$(9-8) -2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 0.0743$

$(9-8) +2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 1.926$

And we are 9% confidence that the true mean for the difference of the population means is given by:

$0.0743 \leq \mu_1 -\mu_2 \leq 1.926$

Step-by-step explanation:

For this problem we have the following data given:

$\bar X_1 = 9$ represent the sample mean for one of the departments

$\bar X_2 = 8$ represent the sample mean for the other department

$n_1 = 25$ represent the sample size for the first group

$n_2 = 20$ represent the sample size for the second group

$s_1 = 2$ represent the deviation for the first group

$s_2 =1$ represent the deviation for the second group

Confidence interval

The confidence interval for the difference in the true means is given by:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}$

The confidence given is 95% or 9.5, then the significance level is $\alpha=0.05$ and $\alpha/2 =0.025$ . The degrees of freedom are given by:

$df=n_1 +n_2 -2= 20+25-2= 43$

And the critical value for this case is $t_{\alpha/2}=2.02$

And replacing we got:

$(9-8) -2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 0.0743$

$(9-8) +2.02 \sqrt{\frac{2^2}{25} +\frac{1^2}{20}}= 1.926$

And we are 9% confidence that the true mean for the difference of the population means is given by:

$0.0743 \leq \mu_1 -\mu_2 \leq 1.926$

4 0

3 years ago

Answer part B (as part A is 75)

kakasveta [241]

Answer:

because there is 180 degrees in a line. if 105 degrees is taken away from the line. then (180 - 105) is 75 degrees.

6 0

3 years ago