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2 years ago

Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete.

Mathematics

1 answer:

Gala2k [10]2 years ago

7 0

Answer:

5x and -4x

Step-by-step explanation:

Because Paul is looking for M1 and M2 in order to get a total that is +x and a product that is equal to -20x^2, we can see that 5x and -4x help Paul get the products he wants.

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Explanation A random sample of 100 observations from a normally distributed population possesses a mean equal to 83.2 and a stan

Olenka [21]

Answer:

The 95% confidence interval would be given by (81.933;84.467)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=83.2$ represent the sample mean

$\mu$ population mean (variable of interest)

s=6.4 represent the sample standard deviation

n=100 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=100-1=99$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,99)".And we see that $t_{\alpha/2}=1.98$

Now we have everything in order to replace into formula (1):

$83.2-1.98\frac{6.4}{\sqrt{100}}=81.933$

$83.2+1.98\frac{6.4}{\sqrt{100}}=84.467$

So on this case the 95% confidence interval would be given by (81.933;84.467)

7 0

3 years ago

May someone please help me? I'm too lazy.

andrey2020 [161]

He is incorrect He wrote 50, when it should be 5.

7 0

2 years ago

Read 2 more answers

While driving in Hawaii, Momo discovered some silver bars on the ocean floor. Each bar weighed 70 pounds and the price of silver

Anni [7]

1 pound = 16 ounces.

70 x 16 = 1120 total ounces per bar.

1120 x $5.05 = $5,656 each.

7 0

3 years ago

Fernando will divide 0.24 by 4 to help him solve a math problem. Which model below could represent this math problem

balandron [24]

Answer:

So the model should represent either $\frac{6}{100}$ or $\frac{3}{50}$ (its equivalent and simplified form.

Step-by-step explanation:

1) Originally the question wants to represent this quotient as tiles.

So, $\frac{\frac{24}{100}}{4} =\frac{24}{100} *\frac{1}{4} =\frac{6}{100}=$

We can still simplify it, but since we're dealing with 100 x 100 squares let's keep it this way

2) So the model should represent either $\frac{6}{100}$ or $\frac{3}{50}$ (its equivalent and simplified form.

6 0

3 years ago

Aisha ate 1/4 of the carrots in the bag. Enrique ate 3/12 of the carrots in the bag. Compare the amounts of carrots they each at

Neko [114]

The amount of carrots they each ate are the same because 12 is a multiple of 4. There are 3 4’s in one 12. If you multiply 1/4 times 3 you will get 3/12 because 1 x 3 = 3. And 4 x 3 = 12

7 0

3 years ago