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3 years ago

1. How many triangles are created in the following situation:

Mathematics

2 answers:

Sindrei [870]3 years ago

8 0

Answer:

Step-by-step explanation:

We can use:

$\frac{12}{sin35} = \frac{16}{sinB}$

Solve for sinB

$sinB=\frac{16(sin35)}{12}$

The answer we get from that is: 0.76

With that answer, we can do:

$B=sinx^{-1}(0.76)$

So, since the calculator did NOT put out an error, there is 2 such triangles.

Inga [223]3 years ago

4 0

<A be 12x
<B=16x

Another angle must be greater than 12+16=28x.

As ratios of angles and sides are same.

now

12x=35
x=35/12
x=3(Approx)

So we can create 3 triangles

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Harry owes the bank money. To repay his debt, he paid $150 back to the bank each month. After 10 months, his remaining debt was

ira [324]

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3 years ago

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

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

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

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

t 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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".

We can replace in formula (1) the info given like this:

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

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

$p_v =P(z>1.768)=0.039$

6 0

3 years ago

Please help I need it please please

Anni [7]

Answer:

23 %

Step-by-step explanation:

151.34 ÷ 658 × 100

hope this helps

have a nice day <3

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2 years ago

Read 2 more answers

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Ainat [17]

I think the answers are:

Statement Reason
12=13x+5 Given
7=13x Subtraction Property of Equality
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x = 21 Symmetric Property of Equality

By the way, I'm doing the same exam for Geometry as well. There's a lot of proof questions on there which I'm not good at doing for the reasoning part. If you finish the exam before I do, maybe you can message me what the answers are for some of the questions on there so I know if my answers for the questions are incorrect or not.

Besides that, hope the answer above is correct for you.

~ ShadowXReaper069

5 0

3 years ago

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A school needs 5,000 to buy new books for the library. So far the school has raised 75%

ohaa [14]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Total money needed= $5,000

Percentage raised= 75%

To calculate the amount collected and the difference required, we need to use the following formulas:

Total collected= 5,000*0.75

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Difference= 5,000 - 3,750

Difference= $1,250

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