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3 years ago

Mark rolls two number cubes. What is the probability that the sum of the two numbers will equal 10?

1 answer:

4 0

There are 6×6=36 possible chance.
4+6=10
5+5=10
6+4=10.
As a result, the probability that the sum of the two numbers will equal 10 is 3/36 or 1/12 which is C. Hope it help!

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Calculate the value of the exterior angle

aev [14]

What we know is that the sum of a triangle's internal angles are 180º, and a straight angle makes 180º.

first, we have to find the third internal angle(let's call it n) so that we can use it to find the exterior angle.

(3x + 20) + (4x + 5) + n = 180

simplify:

7x + 25 + n = 180

7x + n = 155

n = 155 - 7x

Now we can add it to the external angle to find x.

(155 - 7x) + (8x + 15) = 180

simplify:

170 + 8x - 7x = 180

170 + x = 180

x = 10

Now we can substitute it to the external angle.

8 x 10 + 15 = 95

the exterior angle is 95º.

8 0

3 years ago

Find the t-value such that the area in the right tail is 0.005 with 28 degrees of freedom.

klasskru [66]

Answer:

$t = 3.673900$

Step-by-step explanation:

Given

$df = 28$ -- degree of freedom

$Area = 0.005$

Required

Determine the t-value

The given parameters can be illustrated as follows:

$P(T > t) = \alpha$

Where

$\alpha = 0.005$

So, we have:

$P(T>t) = 0.005$

To solve further, we make use of the attached the student's t distribution table.

From the attached table,

The t-value is given at the row with df = 28 and $\alpha = 0.005$ is 3.673900

Hence, $t = 3.673900$

4 0

3 years ago

Given the function f defined by formula f(x)=2x+1 find the following f(4)

Nezavi [6.7K]

The correct answer you need will equal 9

6 0

3 years ago

The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p

VLD [36.1K]

Answer:

$3.13$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

$\chi^2_{1-\frac{\alpha}{2}}= 51.770$

Chi square critical value for upper tail =

$\chi^2_{\frac{\alpha}{2}}= 81.085$

80% confidence interval:

$\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}$

Putting values, we get,

$=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13$

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0

3 years ago

Wich expression best estimates - 18 1/4 divided by 2 2/3

yKpoI14uk [10]

-18/3

18/(-3)

<h2>Explanation:</h2>

The complete question is as follows:

________________________________________________

Which expression best estimates -18 1/4 divided by 2 2/3?

18/3

-18/3

-18/(-3)

18/(-3)

________________________________________________

So in this exercise, we have two mixed fractions. This type of fractions comes from the combination of a whole number and a proper fraction fraction (numerator less than denominator). In order to solve this problem, we need to transform these mixed fractions into improper fractions (numerator greater than denominator). So:

$-18 \frac{1}{4}=-\left(18+\frac{1}{4}\right) \\ \\ Cross \ Multiplication\ -\left(\frac{18\times4+1}{4}\right) \\ \\ Solving \ numerator \ -\frac{72+1}{4} \\ \\ Simplifying \ -\frac{73}{4}$

$2 \frac{2}{3}=2+\frac{2}{3} \\ \\ Cross \ Multiplication\ \frac{2\times 3+2}{3} \\ \\ Solving \ numerator \ \frac{6+2}{3} \\ \\ Simplifying \ \frac{8}{3}$

By dividing:

$\frac{-\frac{73}{4}}{\frac{8}{3}} \\ \\ It's \ the \ same \ as: \\ \\ -\frac{73\times 3}{8\times 4}=-\frac{219}{32} \approx -6.84$

<em>So the expressions that best estimates -18 1/4 divided by 2 2/3 are:</em>

<em>Whose value in decimal form is -6.0</em>

<h2 /><h2>Learn more:</h2>

Estimate the distance between cities: brainly.com/question/12062666

#LearnWithBrainly

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3 years ago