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3 years ago

5

A spinner is divided into 8 equal sections: 4 red, 2 white, 1 green and 1 blue. what is the probability that the spinner lands o

n blue, or white and then on green

1 answer:

VMariaS [17]3 years ago

4 0

The answer for this question is 3/1

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A bank loaned out $19,000, part of it at the rate of 9 % per year and the rest at 19 % per year. If the interest received in o

VMariaS [17]

Answer: $11100 was loaned at 9%

Step-by-step explanation:

Let x represent the amount that the

bank loaned out at the annual rate of 9%.

Let y represent the amount that the

bank loaned out at the annual rate of 19%.

The bank loaned out $19,000, part of it at the rate of 9% per year and the rest at 19% per year. It means that

x + y = 19000

The interest on $x after 1 year would be

9/100 × x = 0.09x

The interest on $y after 1 year would be

19/100 × y = 0.19y

If the interest received in one year totaled $2500. It means that

0.09x + 0.19y = 2500- - - - - - - - - 1

Substituting x = 19000 - y into equation 1, it becomes

0.09(19000 - y) + 0.19y = 2500

1710 - 19000y + 0.19y = 2500

- 0.09y + 0.19y = 2500 - 1710

- 0.1y = - 790

y = - 790/- 0.1

y = $7900

x = 19000 - y = 19000 - 7900

x = $11100

7 0

2 years ago

Help with number 14 please :))

Degger [83]

Answer:

b = - 5

Step-by-step explanation:

(k + a )(k + x) + 1 = k^2 + kx + ak + ax + 1

I think the way to solve this is to worry about the 36

k^s + 1 + ak should equal 36

We know that a = 2

k^2 + 1 + 2k = 36

k^2 + 2k + 1 - 36 = 0

k^2 + 2k - 35 = 0

(k + 7)(k - 5) = 0

k = -7 is the only acceptable answer. It is given that K < 0.

bx = kx + ax

b = k + a

b = - 7 + 2

b = - 5

3 0

2 years ago

Mr. Birdie has worked hard as a Math teacher all his

Nikitich [7]

Answer:

You'll likely need assets worth 10 to 16 times your salary by the time you leave your job. A 45-year-old making $120,000 who hopes to retire at age 60, say, should already have nearly $700,000 set aside. (See the Retire Early calculator.) You can get by with less if you'll have other sources of income.

6 0

3 years ago

4. Emily has a Springer Spaniel that weighs 48.5 pounds. She also has a

12345 [234]

Answer:20.7

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

It is believed that the SAT scores for students entering two state universities may have different standard deviations. Specific

Eva8 [605]

Answer:

The critical value of <em>F</em> is 3.55.

Step-by-step explanation:

The claim to be test is, the SAT scores for students entering two state universities may have different standard deviations. It is believed that the standard deviation at University A is greater than the standard deviation at University B.

The hypothesis for the test can be defined as:

<em>H₀</em>: The standard deviations are same, i.e. <em>σ</em>₁ = <em>σ</em>₂

<em>Hₐ</em>: The standard deviations are different, i.e. <em>σ</em>₁ > <em>σ</em>₂<em>.</em>

A <em>F</em>-test will be used to perform the hypothesis test.

The <em>F</em>-statistic is given by:

$F=\frac{S_{1}^{2}}{S_{2}^{2}}\sim F_{\alpha/2, (n_{1}-1),(n_{2}-1)$

The information provided is:

University A University B

Sample mean 1104 1254

Sample Standard Deviation 134 108

Sample size 14 8

Compute the critical value of F using MS-Excel as follows:

The degrees of freedom are:

df₁ = n₁ - 1 = 14 - 1 = 13

df₂ = n₂ - 1 = 8 - 1 = 7

<u>Step 1</u>:

Open function → F.INV.RT

A dialog box will open.

<u>Step 2</u>:

Enter the details as shown in the image below. Press OK

Thus, the critical value of <em>F</em> is 3.55.

3 0

3 years ago