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3 years ago

Please hurry! Marking beainliest!

Mathematics

2 answers:

Mekhanik [1.2K]3 years ago

6 0

Answer: C correctly converts inches to feet.

Step-by-step explanation:

12 inches is one foot. 12+12 is 24. 12+12+12+12 is 48. And so on

kumpel [21]3 years ago

4 0

Answer:

the ine you have selected is right

Step-by-step explanation:

we know12 inches is 1 foot we can keep going up andsee that 24 inches is 2 and so on

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HELPP PLEASEEE

MrRa [10]

Answer: The answer to your question is 6 $\sqrt{3}$

Step-by-step explanation:

To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.

Medium triangle Large triangle

hypotenuse y 9 + 3

adjacent size 9 y

- Write the proportions

y/9 = (9 + 3)/y

-Solve for y

y² = 9(12)

y² = 108

y = $\sqrt{180}$

-Find the prime factors of 108

108 2

54 2

27 3

9 3

3 3

then, 108 = 2² 3³

-Expressthe root as fractional exponents

2²/² 3²/² 3¹/²

-Simplification

2(3)(3)¹/²

-Result

6 $\sqrt{3}$

8 0

3 years ago

Andrew makes 11 saves in 2 soccer games. He made 8 saves in the first game. How many saves did Andrew make in the second game?

natita [175]

Answer:

Step-by-step explanation:

11-8=3

3 saves were left out of the 11 for the second game

7 0

3 years ago

Read 2 more answers

Write 43% as a decimal.

Natalija [7]

Answer:

0.43

Step-by-step explanation:

It's easy if you think of 43% as a decimal if you base it off 100. For example lets write a fraction about it: $\frac{43}{100}$ . A decimal you can think of the same way. 0.43 is the same as saying 43% of 100 or 43/100.

7 0

4 years ago

A magazine conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale,

Lyrx [107]

Answer:

a) The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =85.82-81.90=3.92$

b) $SE=\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=0.975$

And the Margin of error is given by:

$Me= z_{\alpha/2} * SE=1.96*0.975=1.910$

c) The 95% confidence interval would be given by $2.009 \leq \mu_1 -\mu_2 \leq 5.83$ .

Step-by-step explanation:

Notation and previous concepts

$n_1 =35$ represent the sample of ships that carry fewer than 500 passengers

$n_2 =44$ represent the sample of ships that carry 500 or more passengers

$\bar x_1 =85.82$ represent the mean sample of of ships that carry fewer than 500 passengers

$\bar x_2 =81.90$ represent the mean sample of of ships that carry 500 or more passengers

$\sigma_1 =4.55$ represent the population deviation of ships that carry fewer than 500 passengers

$\sigma_2 =3.97$ represent the sample deviation of ships that carry 500 or more passengers

$\alpha=0.05$ represent the significance level

Confidence =95% or 0.95

The confidence interval for the difference of means is given by the following formula:

$(\bar X_1 -\bar X_2) \pm z_{\alpha/2}\sqrt{(\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2})}$ (1)

Part a

The point of estimate for $\mu_1 -\mu_2$ is just given by:

$\bar X_1 -\bar X_2 =85.82-81.90=3.92$

Part b: At 95% confidence, what is the margin of error?

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

The standard error is given by the following formula:

$SE=\sqrt{(\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2})}$

And replacing we have:

$SE=\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=0.975$

And the Margin of error is given by:

$Me= z_{\alpha/2} * SE=1.96*0.975=1.910$

Part c: What is a 95% confidence interval estimate of the difference between the population mean ratings for the two sizes of ships?

Confidence interval

Now we have everything in order to replace into formula (1):

$3.92-1.96\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=2.009$

$3.92+1.96\sqrt{(\frac{4.55^2}{35}+\frac{3.97^2}{44})}=5.830$

So on this case the 95% confidence interval would be given by $2.009 \leq \mu_1 -\mu_2 \leq 5.83$ .

7 0

3 years ago

Show work please. thank you

Eduardwww [97]

Problem 17, part A

i = simple interest = 900 dolars
p = principle = 1500 dollars
r = interest rate = 0.03 (decimal form of 3%)
t = time in years = unknown (leave it as t for now)

Plug in those values mentioned above and solve for t.

Simple interest formula
i = p*r*t
900 = 1500*0.03*t
900 = 45*t
900/45 = 45*t/45
20 = t
t = 20

Answer: 20 years

=============================================

Problem 17, part B

p = 1500
r = 0.03
t = 5 years

A = p+p*r*t
A = 1500+1500*0.03*5
A = 1500+225
A = 1725

Answer: 1725 dollars

=============================================

Problem 17, part C

Factor out the GCF p, then divide both sides by 1+rt

A = p+p*r*t
A = p*1+p*r*t
A = p*(1+rt)
A/(1+rt) = p*(1+rt)/(1+rt)
A/(1+rt) = p
p = A/(1+rt)

Answer: p = A/(1+rt)

The right side is the fraction of A all over the quantity (1+rt) which may be more readable if written like so
$p = \frac{A}{1+rt}$
If you're going to write it in the way p = A/(1+rt) then don't forget to use parenthesis.

4 0

3 years ago