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2 years ago

Find the measure of the arc indicated

Mathematics

1 answer:

exis [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Angle GPE is an inscribed angle. It intercepts arc GFE. The rule for inscribed angles and the arcs they intercept is that the angle is half the measure of the arc it intercepts. Angle P is 96, so that means that arc GFE is twice that. 2(96) = 192. We have arc FG as 92, so that means that arc FE is 192 - 92 which is 100 degrees. The third choice down.

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Total Price: The sales tax rate is 5%. If the sales tax on a 10-speed bicycle is $9, what is the purchase price?

Lesechka [4]

Answer:

The purchase price is $180

The total price is: $189

Step-by-step explanation:

Sales tax rate = 5\%

Sales tax on bike = $9

We need to find the purchase price.

Let purchase price = x

We know that Sales tax = 5% of x

and Total price = Purchase Price + Sales tax

So, we can write:

Sales tax = 5% of x

Putting values and finding x

$9 =5\% \:of\: x\\9=\frac{5}{100}\:of\:x \\x= \frac{9*100}{5}\\x=180$

So, the value of x i.e Purchase price = $180

The purchase price is $180

Now finding the total price of bicycle

Total price = Purchase Price + Sales tax

Total price = 180 + 9

Total price = $189

So, The total price is: $189

6 0

2 years ago

QUESTION :-

Galina-37 [17]

Answer:

92000

Step-by-step explanation:

Given:

I = 5% = 0.05
t = 2 years
Let the sum is x.

Simple interest:

SI = x*2*0.05 = 0.1x

Compound interest:

CI = x*(1 + 0.05)² - x = 1.1025x - x = 0.1025x

The difference is 230:

0.1025x - 0.1x = 230
0.0025x = 230
x = 230/0.0025
x = 92000

3 0

2 years ago

What is theformula for finding the hight of a 30-60-90 degree triangle

miv72 [106K]

We don't know which side your triangle is sitting on, so the 'height'
could be any one of three values.

Here are the two simple tools that tell you everything you want to
know about a 30°-60°-90° triangle. These are worth memorizing:

-- The side opposite the 30° angle is 1/2 of the hypotenuse.

-- The side opposite the 60° angle is 1/2 of the hypotenuse times √3 .

I memorized them exactly 60 years ago. They've been very useful,
and as far as I know, they haven't changed.

7 0

3 years ago

Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the are

Nastasia [14]

Answer:

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

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.36$ estimated proportion with the survey

$p_o=0.41$ 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)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:

Null hypothesis: $p\geq 0.41$

Alternative hypothesis: $p < 0.41$

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 requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.41}{\sqrt{\frac{0.41(1-0.41)}{100}}}=-1.017$

8 0

3 years ago

Read 2 more answers

Which values from the given replacement set make up the solution set of the inequality? 2b≥6;

Bingel [31]

The answer is A because the variable can’t be no lower than 3 and every other answer has 2 in it. 2•(3) is equal to 6 and 2•(4) is greater than 6 which correlates with the sign (greater than or equal to).

5 0

2 years ago