Round each addend to the nearest hundred and then the sum 403+179

Find the side length of the triangle

Levart [38]

Answer:

19

Step-by-step explanation:

The markings on the triangle means that this is an equilateral triangle (All sides are the same length)

So, we can set the two equations we have equal to each other

4x + 7 = 3x + 10

x + 7 = 10

x = 3

Plug it into either equation

3(3) + 10 = 19

7 0

3 years ago

A local marketing company wants to estimate the proportion of consumers in the Oconee County area who would react favorably to a

Burka [1]

Answer:

C. n=423

Step-by-step explanation:

1) Notation and important concepts

Margin of error for a proportion is defined as "percentage points your results will differ from the real population value"

Confidence=90%=0.9

$\alpha=1-0.9=0.1$ represent the significance level defined as "a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant".

$\hat p=0.5$ represent the sample proportion of consumers in the Oconee County area who would react favorably to a marketing campaig. For this case since we don't have enough info we use the value of 0.5 since is equiprobable the event analyzed.

$z_{\alpha/2}$ represent a quantile of the normal standard distribution that accumulates ${\alpha/2}$ on each tail of the distribution.

2) Formulas and solution for the problem

For this case the margin of error for a proportion is given by this formula

$ME=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$ (1)

For this case the confidence level is 90% or 0.9 so then the significance would be

$\alpha=1-0.9=0.1$ and $\alpha/2=0.05$

With $\alpha/2=0.05$ , we can find the value for $z_{\alpha/2}$ using the normal standard distribution table or excel.

The calculated value is $z_{\alpha/2}=1.644854$

Now from equation (1) we need to solve for n in order to answer the question.

$\frac{ME}{z_{\alpha/2}}=\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Squaring both sides:

$(\frac{ME}{z_{\alpha/2}})^2=\frac{\hat p(1-\hat p)}{n}$

And solving for n we got:

$n=\frac{\hat p(1-\hat p)}{(\frac{ME}{z_{\alpha/2}})^2}$

Now we can replpace the values

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.644854})^2}=422.739$

And rounded up to the nearest integer we got:

n=423

3 0

3 years ago

3n + 8 = 53<br> I don’t understand how to find the n

olganol [36]

Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

3 0

3 years ago

Read 2 more answers

1 Mickey Mantle = 3 Babe Ruth

melisa1 [442]

Answer:

F. Lou Gehrig

Step-by-step explanation:

1 Mickey Mantle = 3 Babe Ruth , therefore:

Mickey Mantle>Babe Ruth

2 Lou Gehrig = 8 Ted Williams , therefore:

Lou Gehrig>Ted Williams

4 Mickey Mantle = 6 Hank Aaron , therefore:

Mickey Mantle>Hank Aaron

4 Ted Williams = 12 Hank Aaron, therefore:

Ted Williams>Hank Aaron

If:

4 Mickey Mantle = 6 Hank Aaron

Then multiplying by 2:

8 Mickey Mantle = 12 Hank Aaron
Recall: 4 Ted Williams = 12 Hank Aaron

Then comparing:

4 Ted Williams=8 Mickey Mantle which means Ted Williams>Mickey Mantle

Now, we can attempt to order them:

Mickey Mantle>Babe Ruth

Lou Gehrig>Ted Williams

Mickey Mantle>Hank Aaron

Ted Williams>Hank Aaron

Ted Williams>Mickey Mantle

Lou Gehrig>Ted Williams>Mickey Mantle>(Hank Aaron and Babe Ruth)

We can see that since Lou Gehrig>Ted Williams, then the Lou Gehrig's card is the most valuable.

3 0

3 years ago

Two pony express riders each rode part of a 176 mile trip. Each rider rode the same number of miles. They changed horses every 1

atroni [7]

Answer:

Total number of horses used = 16

Step-by-step explanation:

Two pony express riders each rode part of a 176 mile trip. Each rider rode the same number of miles.

$\texttt{Total mile rode by each pony express rider = }\frac{176}{2}=88miles$

They changed horses every 11 miles.

$\texttt{Number of horses used by each pony express rider = }\frac{88}{11}=8$

Total number of horses = Number of horses used by each pony express rider x Number of pony express rider

Total number of horses used = 8 x 2 = 16

Total number of horses used = 16

7 0

3 years ago

Read 2 more answers