Twelve students were asked how long they spent doing homework last week. The scatter plot shows the results of the survey.

My cousin needs help on all the questions. Please help him he is failing math

Solnce55 [7]

Answer:

(a) more

(b) less

(c) more

(d) greater

(e) Left to right: Susan, George, Antonio, Maria

Step-by-step explanation:

When a point total is lower, more points are needed to stay in the game.

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(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.

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(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.

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(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.

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(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.

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(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.

_____

* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), <em>exactly 25 points</em> might be needed. That is, there is some ambiguity in part (b) in that Susan might need <em>less than or equal to 25 points</em>. Susan's phone could be either the first or the second.

The problem is poorly worded. The answer choices above are consistent with the problem statement overall.

6 0

3 years ago

A homeowner wants several small dormers built on his roof to admit light. They will be in the shape of isosceles triangles whose

Vlad1618 [11]

P = s + (s + 5) + (s + 5) This represents the two sides that are 5 inches longer than the base (s + 5) and the base (s).
Simplifying.
100 = 3s + 10
subtract 10 from both sides
90 = 3s
divide both sides by 3
30 = s
base = 30
sides = 35

CHECK 30 + 35 + 35 = 100

4 0

3 years ago

Twenty five heat lamps are connected in a greenhouse so, that when one lamp fails, another takes over immediately (only one lamp

olga55 [171]

Answer:

P = 0.006

Step-by-step explanation:

Given

n = 25 Lamps

each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours

Find probability that the lamp will be burning at end of 1300 hours period.

As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have

Suppose i represents lamps

P (∑i from 1 to 25 ( $X_i$ > 1300)) = 1300

= P( $X^{'}$ > $\frac{1300}{25}$ ) where $X^{'}$ represents mean time of a single lamp

= P (Z> $\frac{52-50}{\frac{1}{\sqrt{25}}}$ ) Z is the standard normal distribution which can be found by using the formula

Z = Mean Time ( $X^{'}$ ) - Life time of each Lamp (50 hours)/ (SD/ $\sqrt{n}$ )

Z = (52-50)/(4/ $\sqrt{25}$ ) = 2.5

Now, P(Z>2.5) = 0.006 using the standard normal distribution table

Probability that a lamp will be burning at the end of 1300 hours period is 0.006

4 0

3 years ago

The circle below is centered at the point (4,3) and has a radius length 5. What is its equation

Crazy boy [7]

The equation of a circle centred at point (m,n) and radius r is given by

<span>(x-m)² + (y-n)² = r²
</span>-------------------------------------------------------------
Centre = (4,3)
radius = 5

Equation:
(x - 4)² + (y - 3)² = 5²
⇒ x² - 8x + 16 + y² - 6y + 9 = 25
⇒ x² + y² - 8x - 6y + 25 = 25
⇒ x² + y² - 8x - 6y = 0

The equation of the circle is x² + y² - 8x - 6y = 0

Hope it helps!

3 0

2 years ago

Read 2 more answers

Find the center and radius of the circle. Show all work

Alona [7]

The center is (-1, -2) and the radius of the circle is 5.

<h3>What is the equation of a circle?</h3>

The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.

A circle can be represented as;

$\rm (x-h)^2+(y-k)^2=r^2$