The function h(x) = 2lXl is a transformation of the absolute value parent function, f(x) = lXl. Which graph shows h(x)?

A square is 7 cm on each side what is the area

Zina [86]

Answer:

49 cm²

Step-by-step explanation:

Formula for area:

a = l (length) x w (width)

if its 7 cm on each side, then the length and width will be 7

7*7 = 49 cm²

5 0

3 years ago

During a basketball game, Bari scored 28 points. During the game, Danay scored ¼ of the number of points Bari scored. How many p

vivado [14]

Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .

Resposta: Denay marcou 7 pontos durante o jogo.

7 0

3 years ago

The measure of an angle formed by two secants intersecting inside the circle equals...

zepelin [54]

The measure of an angle formed by two secants intersecting inside the circle equals ½ the difference of the intercepted arcs. The correct option among all the options that are given in the question is the second option or option "B". I hope that this is the answer that has come to your desired help.

5 0

4 years ago

Read 2 more answers

What is a rate in math?

alisha [4.7K]

Answer:

A rate is a ratio between two related quantities.

Step-by-step explanation:

Often, the rate has associated units. Often, the word "per" is used to separate the quantities of the ratio, as in "miles per hour" or "dollars per gallon". In this context, "per" means "divided by."

If the units of the quantities are the same, they cancel, and the rate is a "pure number" (a number with no units). A tax rate, for example, is some number of dollars per dollar, a pure number, often expressed as a percentage.

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Unit rates

A "unit rate" is a rate in which one of the quantities is 1 unit. Usually, that is the denominator quantity. A rate that is not a unit rate can be made to be a unit rate by carrying out the division of the numbers.

For example, 3 dollars for 2 pounds ($3/(2#)) is expressed as the unit rate $1.50 per pound.

Some years ago, grocery stores began putting unit rates on price tags so that prices could be compared more easily (at least some of the time). Sometimes the comparison is complicated by different units being used for similar products.

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Percentages

A percentage is the ratio of similar measurements, expressed with a denominator of 100. ("Cent" means "hundred" in "per cent.") The "/100" in the ratio is generally abbreviated as the symbol "%". Since the ratio is of quantities with similar units, it is a pure number.

Occasionally, you will find the idea of "percent" used to relate quantities that are measured differently. For example, a drug that has a concentration of x mg/(100 mL) may be specified as an x% solution.

The proportion of items of significantly different density may be specified either by weight or by volume. That is a mixture that is x% "by weight" may be y% "by volume" (x≠y). The choice of weight or volume will generally depend on the typical way an amount of the mixture is measured.

8 0

4 years ago

Read 2 more answers

In October 1945, the Gallup organization asked 1,487 randomly sampled Americans, "Do you think we can develop a way to protect o

GalinKa [24]

Answer:

Yes. There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Step-by-step explanation:

The question is incomplete:

In October 1945, the Gallup organization asked 1487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" with 788 responding yes. Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α=0.05 level of significance.

This is a hypothesis test for a proportion.

The claim is that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi>0.5

The significance level is 0.05.

The sample has a size n=1487.

The sample proportion is p=0.53.

$p=X/n=788/1487=0.53$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1487}}\\\\\\ \sigma_p=\sqrt{0.000168}=0.013$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.5-0.5/1487}{0.013}=\dfrac{0.03}{0.013}=2.288$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>2.288)=0.011$

As the P-value (0.011) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

8 0

3 years ago