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2 years ago

Guys, please help me. Thanks all.

Mathematics

1 answer:

Sveta_85 [38]2 years ago

4 0

There is 180 degrees in a triangle. What you need to do is set up an equation and solve for x.

(7x + 10)+(x+20)+2x =180

Combine like terms:

10x + 30 = 180

Solve for x:

10x= 150; the largest angle

X=15

Plug x into the equations

7(15)+10= 115

(15) + 20 = 35

2(15)=30

Just to check your work:

115+30+35=180

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LekaFEV [45]

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3 years ago

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Just number 16 please<br> thank you sooooooo much

Cloud [144]

In order to find the perimeter of a shape, you add all sides. So in this case your answer would be 26cm.

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3 years ago

What is the greatest common factor of 253 and 345?

dlinn [17]

Answer:

Step-by-step explanation:

To find the Greatest Common Factor, or GCF, we need to factor the first 2 numbers and then find the greatest number that is both present in the prime factorization of both numbers.

253 = 1 * 11 * 23

345 = 3 * 5 * 23

Since 23 is both present in both numbers and is the greatest, the GCF of 253 and 345 is 23.

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1 year ago

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The function c= 1.50(n-2) +5.50 represents the costs c in dollars of printing n invitation. Which of the following is not true

ratelena [41]

For this case we have the following equation:

Where,
n: number of invitations:
c: cost in dollars
We note that the slope of the line for this case is:

The slope represents the cost of printing each of the invitations.
Therefore, it is false that the cost of printing each invitation is $ 5.50
Answer:
the following is not true:
A) each invitation costs $ 5.50 to print.

I hope this helped you! Good luck!

7 0

2 years ago

Either use technology to find the P-value or use

Akimi4 [234]

Answer:

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Step-by-step explanation:

Data given and notation

$\bar X$ represent the mean

$s$ represent the sample standard deviation

$n=21$ sample size

$\mu_o =140$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t=-0.024 would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean for the widths of tornadoes is lower than 140 yd, the system of hypothesis would be:

Null hypothesis: $\mu \geq 140$

Alternative hypothesis: $\mu < 140$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

The statistic is given by: $t = -0.024$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=21-1=20$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(20)}$

And we can use the following excel code to find it: "=T.DIST(-0.024,20,TRUE)"

Based on the p value obtained we can conclude that we FAIL to reject the null hypothesis at any significance level selected $\alpah=0.01,0.05,0.1$

7 0

3 years ago