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3 years ago

5

Angles C and D are complementary. The measure of angle D is 25 degrees greater than the measure of angle C. What is the measure

of each angle?

2 answers:

Volgvan3 years ago

6 0

90-25 = 65
65/2 = 32.5

32.5+25 = 57.5

C is 32.5 degree.
D is 57.5 degree.

Amiraneli [1.4K]3 years ago

3 0

32.5 + 57.5. It adds up to 90 degrees.

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In a soccer tournament teams receive 6 points for winning a game 3 points for trying a game and 1 point for each goal they score

Alex777 [14]

I beleive it is 6(2) + 3 (1) + 1(5) = 20 points :)

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3 years ago

Jackson earns $25 per hour as a tutor at the college library. he set a weekly spending budget of $130 a week and push the remain

a_sh-v [17]

Answer:

Jackson should work at least 8 hours this week to achieve his target.

Step-by-step explanation:

Jackson's hourly income = $25

His weekly spending budget = $130

Minimum amount to be pushed to the savings account = $50

So, minimum total amount Jackson should earn this week = 130 + 50 = 180

Number of hours to work this week = $\frac{Minimum total amount}{hourly income}$

= $\frac{180}{25}$

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Hence, Jackson should work at least 8 hours this week to achieve his target.

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3 years ago

11. Find the measure of each missing angle<br> & 13 please

GREYUIT [131]

Answer:

1. 35

2. 145

3. 55

4. 125

5. 55

13. x= 19

Step-by-step explanation:

6 0

2 years ago

The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There

Oksi-84 [34.3K]

Answer:

$z=1.64$

And if we solve for a we got;

$10 +1.64*1=11.64$

So the value of height that separates the bottom 95% of data from the top 5% is 11.64

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent certain lifetime of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,1)$

Where $\mu=10$ and $\sigma=1$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.05$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.64$

And if we solve for a we got;

$10 +1.64*1=11.64$

So the value of height that separates the bottom 95% of data from the top 5% is 11.64

4 0

3 years ago

A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and

Basile [38]

Answer:

(E) 0.83

Step-by-step explanation:

We will solve it using conditional probability.

Let A be the event that a TV show is successful.

P(A) = 0.5

A' be event that the show is unsuccessful

P(A') =0.5

Let B be the event that the response was favorable

P(B) = 0.6

Let B' be the event that the response was unfavorable/

P(B') = 0.4

P(A∩B) = 0.5 and P(A∩B') = 0.3

We need to find new show will be successful if it receives a favorable response.

P(A/B) = $\frac{P(A∩B)}{P(B)}$

= 0.5/0.6

= 0.833

7 0

3 years ago

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