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3 years ago

Write the integer as a product of two integers such that one of the factors is a perfect square. 27

Mathematics

1 answer:

butalik [34]3 years ago

3 0

Hope this helps....

The factors of 27 are all #'s btwn -27 and 27 that / 27 evenly.

-27, -9, -3, -1, 1, 3, 9, 27

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A cabinet door has a perimeter of 62 inches its area is 228 in.² what are the dimensions of the door

Vlad1618 [11]

P=2(L+W)
A=LW

given
P=62
62=2(L+W)
divide 2
31=L+W
minus W
L=31-W

sub into other one
A=LW
A=(31-W)(W)
228=31W-W^2
times -1
W^2-31W=-228
add 228 both sides
W^2-31W+228=0
factor
what 2 numbers multiply to get 228 and add to get -31
-19 and -12
(W-19)(W-12)=0
set to zero

W-19=0
W=19

W-12=0
W=12

sub back

L=31-W
L=31-12
L=19
or
L=31-19
L=12

the doorway is 12in by 19in

4 0

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

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

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

$P(M|G') = 0.26$

3 0

3 years ago

What is (2+2+3+10)x(8+9+-9+7)

qwelly [4]

Answer:

255

Step-by-step explanation:

(2+2+3+10) × (8+9+-9+7)

First, remove the brackets:

2 + 2 + 3 + 10 × 8 + 9 + -9 + 7

Now calculate like so:

2 + 2 + 3 + 10 = 17

8 + 9 + -9 + 7 = 15

(17) × (15) = 17 × 15 = 255

PLEASE DO MARK ME AS BRAINLIEST UWU 

6 0

3 years ago

Read 2 more answers

I need the answer for the Linear equation of the below graph

stellarik [79]

Answer:

y = - $\frac{3}{4}$ x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-3}{4-0}$ = - $\frac{3}{4}$

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - $\frac{3}{4}$ x + 3 ← equation of line

4 0

2 years ago

Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an a

Monica [59]

Each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya. i hope i got it right haha

5 0

3 years ago

Read 2 more answers