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3 years ago

13

A fair pair of dice is rolled and the sum of the points is noted. What is the probability that one of the dice results in a poin

t of 5, given that the sum of the points is 9?

2 answers:

matrenka [14]3 years ago

5 0

Answer is .5 explanation

Elodia [21]3 years ago

3 0

Answer:

½

Step-by-step explanation:

(3,6) (4,5) (5,4) (6,3)

2/4 = ½

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Jamie has 7/10 of a pound of

Alekssandra [29.7K]

Answer:

Each person will get $\frac{7}{30}\ lb$

Step-by-step explanation:

we know that

To find out how much chicken will each person get, divide the total pounds of chicken by the number of persons

so

$\frac{7}{10}:3$

Multiply in cross

$\frac{7}{10*3}=\frac{7}{30}\ lb$

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3 years ago

A hamster runs on a wheel at a rate of 4 miles per hour. What is it's speed in kilometers per second? Round your answer to the n

Solnce55 [7]

Answer:6.437376 Kilometers per Hour

Step-by-step explanation:

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3 years ago

Professor wonders whether a student's homework average (X) could be used to predict their final grade in the course (Y) . She ca

Anna11 [10]

Answer:

The dependent variable is the final grade in the course and is the vriable of interest on this case.

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

Step-by-step explanation:

On this case w ehave the following linear model:

$Y= 21.839 +0.724 X$

Where Y represent the final grade in the course and X the student's homework average. For this linear model the slope is given by $\beta_1 = 0.724$ and the intercept is $\beta_0 = 21.839$

Which is the dependent variable, and why?

The dependent variable is the final grade in the course and is the vriable of interest on this case.

Based on the material taught in this course, which of the following is the most appropriate alternative hypothesis to use for resolving this question?

Since we conduct a regression the hypothesis of interest are:

H0: $\beta_1 = 0$

H1: $\beta_1 \neq 0$

And if we reject the null hypothesis we can conclude that we have a significant relationship between the two variables analyzed.

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2 years ago

What is the volume of the composite figure shown? (Use 3.14 for π.)

Nimfa-mama [501]

$The\ volume\ of\ the\ cone:V_1=\frac{1}{3}\pi r^2 H\\(r-a\ radius;\ H-height)\\------------------\\r=7ft;\ H=7ft\\\\V_1=\frac{1}{3}\pi\cdot7^2\cdot7=\frac{1}{3}\pi\cdot343=\frac{343}{3}\pi\ (ft^2)\\-------------------\\The\ volume\ of\ the\ cylinder:V_2=\pi r^2 H\\(r-a\ radius;\ H-height)\\-------------------\\r=7ft;\ H=6ft\\\\V_2=\pi\cdot7^2\cdot6=294\pi\ (ft^3)\\------------------------\\The\ volume\ of\ the\ composite\ figure: V_F=V_1+V_2$

$V_F=\frac{343}{3}\pi+294\pi=\frac{343}{3}\pi+\frac{294\cdot3}{3}\pi=\frac{343}{3}\pi+\frac{882}{3}\pi=\boxed{\frac{1225}{3}\pi\ (ft^3)}\\\\\approx\frac{1225}{3}\cdot3.14}=\frac{3846.5}{3}\approx\boxed{1,282.17\ (ft^3)}\leftarrow answer$

7 0

3 years ago

What is -a^-2 if a=-5

Leviafan [203]

$-a^{-2}=-(-5)^{-2}=-\left(\dfrac{1}{-5}\right)^2=-\dfrac{1}{25}$

3 0

3 years ago