All categories

2 years ago

Which equation correctly applies the distributive property?

2 answers:

7 0

distributive property

D.(0.5 ⋅ 0.5) + (0.5 ⋅ 0.3) + (0.5 ⋅ 0.2) = 0.5 ⋅ (0.5 + 0.3 + 0.2)

nika2105 [10]2 years ago

4 0

distributive property

D.(0.5 ⋅ 0.5) + (0.5 ⋅ 0.3) + (0.5 ⋅ 0.2) = 0.5 ⋅ (0.5 + 0.3 + 0.2)

You might be interested in

ACDF is a trapezoid and

Sholpan [36]

Answer:

x = 7

Step-by-step explanation:

See the attached figure.

As shown: A C D F is a trapezoid and BE is a mid-segment.

The mid-segment of the trapezoid is the average of its bases.

BE = 0.5 ( A F + C D)

Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12

So,

2x + 10 = 0.5 ( 18 + 6x - 12)

Solve for x

2x + 10 = 0.5 (6 + 6x)

2x + 10 = 3 + 3x

10 - 3 = 3x - 2x

∴ x = 7

So, the value of x is 7

8 0

2 years ago

Please help!! I have 10 minutes left!!

irina1246 [14]

I can’t see sorry . . . . . . . . .

4 0

2 years ago

Layla borrowed some money from her friend in order to help buy a new video game

astra-53 [7]

Answer:

hi hru can you be my friend

8 0

1 year ago

The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv

Rina8888 [55]

Answer:

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

Step-by-step explanation:

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".

$\bar X=14.42$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=6.95$ represent the population standard deviation

n=36 represent the sample size

Solution to the problem

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

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

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: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

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

$14.42-1.96\frac{6.95}{\sqrt{36}}=12.150$

$14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690$

So on this case the 95% confidence interval would be given by (12.150;16.690)

5 0

3 years ago

Darius is offered a choice between two gambles on a fair coin flip: (1) pay $100, win $110 on either heads or tails. (2) pay $10

Helga [31]

I guess it shows he is ok with taking risks.

8 0

3 years ago