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1 year ago

PLS help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

kati45 [8]1 year ago

7 0

The area of the figure is 104.52 sq inches

<h3>How to determine the area of the figure?</h3>

In the complete figure, we have:

1 Rectangle: Base = 8 in and Height = 6 in

2 semicircles: Diameter = 6 inches

The area of the figure is

Area = Area of rectangle + Sum of Areas of semicircles

This gives

Area = Base * Height + 2 * π(d/2)^2

This gives

Area = 8 * 6+ 2 * 3.14 * (6/2)^2

Evaluate

Area = 104.52

Hence, the area of the figure is 104.52 sq inches

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X+y=5<br> x×y=6<br> Solve simultaneously with steps

igor_vitrenko [27]

Answer:

(3, 2), (2, 3)

Step-by-step explanation:

x + y = 5

xy = 6

Solve the first equation for x.

x = 5 - y

Substitute 5 - y for x in the second equation.

xy = 6

(5 - y)y = 6

5y - y² = 6

y² - 5y + 6 = 0

Factor.

(y - 2)(y - 3) = 0

y - 2 = 0 or y - 3 = 0

y = 2 or y = 3

Now substitute 2 for y in the first equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

One solution is x = 3; y = 2, or (3, 2).

Now substitute 3 for y in the first equation and solve for x.

x + y = 5

x + 3 = 5

x = 2

Another solution is x = 2; y = 3, or (3, 2).

Answer: (3, 2), (2, 3)

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1 year ago

Which net will fold into a rectangular prism?

Leya [2.2K]

Answer: it is the 4 one

Step-by-step explanation:

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2 years ago

Read 2 more answers

DESPERATE WILL GIVE BRAINLIST AND THANKS

Illusion [34]

Answer: What you must do for this case is to graph each of the ordered pairs that you have in the table to obtain the dispersion chart. Note that in your table you have eight ordered pairs, therefore, your scatter chart must have eight pairs.

Step-by-step explanation:

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2 years ago

Faris's gas tank is 1/10 full. After he buys 24 liters of gas, it is 2/5 full. How many liters can Faris's tank hold?

Arisa [49]

Answer:

80 liters

Step-by-step explanation:

24 liters is the difference between 2/5 full and 1/5 full.

Let x = number of liters in full tank.

2/5 x - 1/10 x = 24

4/10 x - 1/10 x = 24

3/10 x = 24

1/10 x = 8

x = 80

Answer: 80 liters

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2 years ago

The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 vo

Georgia [21]

Answer:

$z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530$

$p_v =P(z>2.530)=0.0057$

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

$\hat p=0.54$ estimated proportion of residents that favored the annexation

$p_o=0.5$ is the value that we want to test

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:

Null hypothesis: $p \leq 0.5$

Alternative hypothesis: $p > 0.5$

When we conduct a proportion test we need to use the z statistic, 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 $p_o$ .

Calculate the statistic

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

$z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530$

Statistical decision

It's important to refresh the p value method or p value approach . "This method 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 next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.530)=0.0057$

7 0

3 years ago