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3 years ago

Help is needed, I will mark brainliest if correct.

Mathematics

2 answers:

Greeley [361]3 years ago

5 0

Answer is 6
right hand side = 8x + 12
thus number missing must make brackets equal 6x +12 so with the +2x both sides are equal.
hence ans =6

(2 = 4x+4
4= 6x + 8
8= 10x + 16)

zheka24 [161]3 years ago

3 0

8 or 4 i think i am 50% sure sorry if i am wrong

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Find p and q for which the linear eqn has infinite solutions 6x-(2p-3)y-2q-3=0, 12x-( 2p-1)y-5q+1=0

astra-53 [7]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

<u>Slopes equal:</u>

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

<u>y-intercepts equal:</u>

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

3 0

4 years ago

gayle made a baby quilt using 24 equal squares. she wants to know the side length of one square. the right side and the left sid

icang [17]

L= 3/4 ft
The side lengths quilt is:
Length- 4.5 ft
Breadth- 3 ft

8 0

3 years ago

How do you show work for 1% of 1600 is what?

agasfer [191]

1% = 1/100
1600 x 1/100 = 1600/100
16

5 0

4 years ago

Read 2 more answers

A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

5 0

4 years ago

Read 2 more answers

What is 7490 times 3

faust18 [17]

22,470, because you look it up a calculator

7 0

3 years ago

Read 2 more answers