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Murljashka [212]
3 years ago
14

Which statement about these triangles is true?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0
What triangle ? You did not put a picture
You might be interested in
Write 17,390,000 in expanded form
scoray [572]

Answer:

The expanded form is:

17,390,000 = 10,000,000 + 7,000,000 + 300,000 + 90,000

Step-by-step explanation:

<em>Expanded form is a way of writing numbers with the mathematics value of digits.</em>

Ex: 7,327 in expanded form is 7,000 + 300 + 20 + 7 = 7,327

<em>So you can write any number in expanded form by adding the values of its digits places</em>

<em>Let us solve the question</em>

The number is 17,390,000

∵ The first digit 1 is in ten-millions place

∴ Its value = 10,000,000

∵ The second digit 7 is in the millions place

∴ Its value = 7,000,000

∵ The third digit 3 is in the hundred-thousands place

∴ Its value = 300,000

∵ The fourth digit 9 is in the ten-thousands

∴ Its value = 90,000

Add all of them

∴ 17,390,000 = 10,000,000 + 7,000,000 + 300,000 + 90,000

The expanded form is

17,390,000 = 10,000,000 + 7,000,000 + 300,000 + 90,000

7 0
3 years ago
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for t
hoa [83]

Answer:

Since p value <0.1 accept the claim that oven I repair costs are more

Step-by-step explanation:

The data given for two types of ovens are summarised below:

Group   Group One     Group Two  

Mean 85.7900 78.6700

SD 15.1300 17.8400

SEM 1.9533 2.3840

N 60       56      

Alpha = 10%

H_0: \mu_1 - \mu_2 =0\\H_a: \mu_1 - \mu_2> 0

(Right tailed test)

The mean of Group One minus Group Two equals 7.1200

df = 114

 standard error of difference = 3.065

 t = 2.3234

p value = 0.0219

If p value <0.10 reject null hypothesis

4) Since p value <0.1 accept the claim that oven I repair costs are more

 

3 0
4 years ago
-4(y - 2) = 12<br> -<br> y = ?
Alexeev081 [22]

Answer:

(-1)

Step-by-step explanation:

  • -4(y - 2) = 12

y = ?

Answer :

-4(y - 2) = 12

(-4 . y) - (-4 . 2) = 12

-4y - (-8) = 12

-4y + 8 = 12

-4y = 12 - 8

-4y = 4

y = -4/4

y = (-1)

3 0
3 years ago
Read 2 more answers
How much would $14,250 be worth in a savings account after 13 years if the account has a 5.25% APY and the interest is compounde
miss Akunina [59]

Answer:

$28,188.46

Step-by-step explanation:

The formula you need is:

A(t)=P(1+\frac{r}{n})^{nt}

Where A(t) is the amount after the compounding, P is the initial investment, r is the interest rate, n is the number of compoundings per year, and t is the time in years.  We are looking for A(t).  P is $14,250; r in decimal form is .0525; n is 52 since there are 52 weeks in a year; t is 13 years.  Filling in:

A(t)=14,250(1+\frac{.0525}{52})^{(52)(13)}

Simplifying inside the parenthesis and the exponential multiplication:

A(t)=14,250(1.0010096154)^{676}

Raising the number in parenthesis to the power of 676 gives us:

A(t) = 14,250(1.978137432)

Multiplying then gives us $28,188.46

3 0
3 years ago
On a multiple-choice test. Abby randomly guesses on all seven questions. Each question
Murrr4er [49]

Answer:

0.173 probability that she gets exactly three questions correct.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either she guesses the correct answer, or she does not. The probability of guessing the correct answer for a question is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Seven questions:

This means that n = 7

Each question has four choices.

Abby guesses, which means that p = \frac{1}[4} = 0.25

Find the probability to the nearest thousandth, that Abby gets exactly three questions correct.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.25)^{3}.(0.75)^{4} = 0.173

8 0
3 years ago
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