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2 years ago

Please help! What is the value of B in the following proportion?

2 answers:

8 0

B.143

step by step:
$\frac{11}{12} = \frac{b}{156}$
use cross multiplication
$12 \times b = 11 \times 156$
$12b = 1716$
divide both sides by 12
$\frac{12b = 1716}{12}$
$b = 143$

madreJ [45]2 years ago

7 0

Answer:

B. 143

Step-by-step explanation:

11 b

----- = -------

12 156

using cross products

11 * 156 = 12 b

divide by 12

11 * 156/12 = b

11 * 13 = b

143 = b

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A random sample of 50 recent college graduates results in a mean time to graduate of 4.58 years, with a standard deviation of 1.

Anna007 [38]

Answer:

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

Yes, this confidence interval contradict the belief that it takes 4 years to complete a bachelor’s degree.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean μ, when the population standard deviation is not known is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

The information provided is:

$\bar x=4.58\\s=1.10\\\alpha =0.10$

Compute the critical value of t for 90% confidence interval and (n - 1) degrees of freedom as follows:

$t_{\alpha/2, (n-1)}=t_{0.10/2, (50-1)}=t_{0.05, 49}=1.671$

*Use a t-table for the probability.

Compute the 90% confidence interval for population mean μ as follows:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}$

$=4.58\pm 1.671\times \frac{1.10}{\sqrt{50}}\\=4.58\pm 0.26\\=(4.32, 4.84)$

Thus, the 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32, 4.84).

If a hypothesis test is conducted to determine whether it takes 4 years to complete a bachelor’s degree or not, the hypothesis will be:

Hₐ: The mean time it takes to complete a bachelor’s degree is 4 years, i.e. μ = 4.

Hₐ: The mean time it takes to complete a bachelor’s degree is different from 4 years, i.e. μ ≠ 4.

The decision rule based on a confidence interval will be:

Reject the null hypothesis if the null value is not included in the interval.

The 90% confidence interval for the mean time to graduate with a bachelor’s degree is (4.32 years, 4.84 years).

The null value, i.e. μ = 4 is not included in the interval.

The null hypothesis will be rejected at 10% level of significance.

Thus, it can be concluded that that time it takes to complete a bachelor’s degree is different from 4 years.

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3 years ago

In arithmetic what variables look like

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Variables are used in algebra and other branches of mathematis.

They are represented by letters. Usually ( but not necesserally) the letters at the end of the alphabet like x,y and z.

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2 years ago

Read 2 more answers

Can anyone please help me! if solve it I will give 30 points and brainliest.

NeTakaya

The biggest cone that can fit into a cube of side 3cm would have a diameter of 3 and height of 3, therefor if the volume of a cone = πr^2h*1/3, then:
Volume = π*1.5^2*3*1/3
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2 years ago

The dot plots below show the test scores of some mathematics students and some science students: Two dot plots are shown one bel

ohaa [14]

Answer:

Science students

Step-by-step explanation:

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Plot interval = 30 to 50

MEAN :

(34*2) + (40*2) + (32*1) + (33*1) + (35*1) + (37*1) + (39*1) = 324

Sample size, n = (2 + 2 + 1 + 1 + 1 + 1 + 1) = 9

Mean = 324 / 9 = 36

BOTTOM :

SCIENCE :

MEAN : (43*2)+(46*2)+(49*2)+(41*1)+(42*1)+(47*1) =

406

SAMPLE SIZE = (2 + 2 + 2 + 1 +1 +1) = 9

406 / 9 = 45.111

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2 years ago

To write a polynomial in standard form, write the _____ of the terms in descending order.

german

Answer:

Step-by-step explanation:

Write the sum of the terms in descending order.

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2 years ago