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3 years ago

If x = 2.5, 5x = ____. (Input decimals only, such as 12.7.)

Mathematics

1 answer:

Gekata [30.6K]3 years ago

5 0

Answer:

12.5

Step-by-step explanation:

x = 2.5

5( 2.5 )

12.5

hopefully this helps you out

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Describe how the graph of the function is related to the graph of f(x) = x^2

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Step-by-step explanation:

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2 years ago

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Marjorie and Blaine make chairs together. Marjorie builds the seat and Blaine independently sews the cushions to rest on top of

Andrew [12]

Making 10 chairs would take Marjorie and Blaine<u> </u><u>21 hours and 40 minutes</u>.

<h3>How long does it take to make 10 chairs?</h3>

The total time it takes Marjorie and Blaine to perform their respective tasks in building a chair is multiplied by 10 chairs, respectively. This time is known as their speed.

The resulting figures are summed to get the total time.

<h3>Data and Calculations:</h3>

The total time it takes Marjorie to build a chair is 15 hours (1.5 hours x 10)

The total time it takes Baline to sew cushions per chair is 400 minutes (40 x 10) or 6 hours and 40 minutes.

Therefore, the total time to build 10 chairs is 21 hours, 40 minutes (15 hours + 6 hours and 40 minutes).

Thus, making 10 chairs would take Marjorie and Blaine <u>21 hours and 40 minutes</u>.

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2 years ago

The midpoint of ab is M (-6,1 ). if the coordinates of A are (-7,-3 ),what are the coordinates of B

Scrat [10]

Answer:

B(-5,5).

Step-by-step explanation:

It is given that midpoint of AB is M (-6,1).

Coordinates of A are (-7,-3 ).

We need to find the coordinates of point B.

Let coordinates of point B are (a,b).

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Midpoint of AB is

$Midpoint=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)$

$(-6,1)=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-7+a}{2}=-6$

$-7+a=-12$

$a=-12+7$

$a=-5$

$\dfrac{-3+b}{2}=1$

$-3+b=2$

$b=2+3$

$b=5$

Therefore, the coordinates of B are (-5,5).

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3 years ago

You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat

den301095 [7]

Answer:

$P(G) = 0.69$

$P(S | G) = 0.81$

$P(M|G') = 0.26$

Step-by-step explanation:

From the question we are told the

The probability of getting into getting into graduated school if you receive a strong recommendation is $P(G |S) = 0.80$

The probability of getting into getting into graduated school if you receive a moderately good recommendation is $P(G| M) = 0.60$

The probability of getting into getting into graduated school if you receive a weak recommendation is $P(G|W) = 0.05$

The probability of getting a strong recommendation is $P(S) = 0.7$

The probability of receiving a moderately good recommendation is $P(M) = 0.2$

The probability of receiving a weak recommendation is $P(W) = 0.1$

Generally the probability that you will get into a graduate program is mathematically represented as

$P(G) = P(S) * P(G|S) + P(M) * P(G|M) + P(W) * P(G|W)$

=> $P(G) = 0.7 * 0.8 + 0.2 * 0.6 + 0.1 * 0.05$

=> $P(G) = 0.69$

Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

$P( S|G) = \frac{ P(S) * P(G|S)}{ P(G)}$

=> $P(S|G) = \frac{ 0.7 * 0.8 }{0.69}$

=> $P(S | G) = 0.81$

Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as

$P(M|G') = \frac{ P(M) * (1- P(G|M))}{(1 - P(G))}$

$P(M| G') = \frac{ 0.2 * (1- 0.6)}{ (1 - 0.69)}$

$P(M|G') = 0.26$

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3 years ago