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2 years ago

For the following trapezoid, h = 5 ft, b = 7.9 ft, and B = 14.6 ft. What is the area?

Mathematics

1 answer:

Bond [772]2 years ago

3 0

Answer:

The area of the trapezoid is 56.25² feet.

Step-by-step explanation:

The formula for the area of a trapezoid is $A=\frac{b+B}{2} h$

A = area (of the trapezoid)
b = base of the trapezoid
B = (other) base of the trapezoid
h = height of the trapezoid

*Note: Trapezoids have 2 bases that are parallel to one another, but are not always the same length.

Using the information given to us, we can simply plug in numbers into the equation. By doing so, we'd get $A=\frac{7.9+14.6}{2} 5$ . By plugging this into a calculator, you'd get $A=56.25$ .

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ELEN [110]

Answer:

3 over 8 (0.375)

8 0

3 years ago

Each fully colored ten block represents 1 whole the number represent above will be divided into 11 equal part how many squares n

e-lub [12.9K]

Given:

Some boxes are fully colored.

Each fully colored ten block represents 1 whole.

The number of colored boxes will be divided into 11 equal part.

To find:

The number of squares need to be colored on each of the 10 blocks.

Step-by-step explanation:

From the given figure, it is clear that,

Number of colored box = 55

The number of colored box will be divided into 11.

$\dfrac{55}{11}=5$

Therefore, 5 squares need to be colored on each of the 10 blocks.

5 0

3 years ago

A well-known brokerage firm executive claimed that at least 41 % of investors are currently confident of meeting their investmen

atroni [7]

Answer:

$z=\frac{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229$

Step-by-step explanation:

1) Data given and notation n

n=88 represent the random sample taken

X=35 represent the adults that said they are confident of meeting their goals

$\hat p=\frac{35}{88}=0.398$ estimated proportion of adults that said they are confident of meeting their goals

$p_o=0.41$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that that at least 41 % of investors are currently confident of meeting their investment goals.:

Null hypothesis: $p=0.41$

Alternative hypothesis: $p < 0.41$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.398 -0.41}{\sqrt{\frac{0.41(1-0.41)}{88}}}=-0.229$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This methos is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level is not provided, but we can assume $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a unilateral test the p value would be:

$p_v =P(z$

Using the p value obtained and the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of of investors that are currently confident of meeting their investment goals is not significantly lower than 0.41 or 41%.