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Mrac [35]
3 years ago
15

Factor yz + 6 + y +6z. z + 1)(y + 6) (z - 1)(y + 6) (z + 6)(y - 1)

Mathematics
1 answer:
Sedbober [7]3 years ago
8 0
The answer is the first one: (z+1)(y+6).

Explanation:

yz + 6 + y + 6z

= yz + y + 6 + 6z

= y(z+1) + 6(1+z)

= (z+1)(y+6)

For (z+1), you can also write (1+z), it doesn’t matter.

Hope it helps!

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Find the area of square of one of its side is (3x+4y)cm.If x=4 and y=1,find its actual area.​
kumpel [21]

Answer:

Step-by-step explanation:

hello :

the area is : (3x+4y)²cm²    when :x=4 and y=1, the area is : (3(4)+4(1))²cm² =16²cm2=256cm²

7 0
3 years ago
A publisher reports that 38%38% of their readers own a laptop. A marketing executive wants to test the claim that the percentage
Kruka [31]

Answer: - 0.71

Step-by-step explanation:

Let p = population proportion

po = sample proportion.

From the question,

p = 38% = 38/100 = 0.38

po = 32% = 32/100 = 0.32

Sample size (n) = 340.

Since our sample size is greater than 30 ( n= 340) we will be making use of a z test for our test statistics.

The population standard deviation of the data set is given below as

σ = √p(1 - p).

σ = √0.38 (1 - 0.38)

σ = √0.38 × 0.62

σ =√0.2356

σ = 0.49.

Z score = po - p/ (σ/√n)

Z score = 0.32 - 0.38/ (0.49/√340)

Z score = - 0.06 / 0.0266

Z score = - 0.71

6 0
3 years ago
Marco's daughter Elena has four boxes of toy blocks, with 50 blocks in each one. One day she dumps them all out on the floor, an
Irina18 [472]
5 blocks are missing
4 0
3 years ago
I NEED THIS QUICK!!
gladu [14]

Answer:

$75

Step-by-step explanation:

$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!

4 0
3 years ago
The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machin
Dmitriy789 [7]

Answer:

106

Step-by-step explanation:

Given that:

Mean (m) = 13.5 pounds

Error margin = 0.025

α = 99%

Variation interval = range = 13.3 to 13.7

Standard deviation (σ) estimate from range :

Range / 4

(13.7 - 13.3) /4

= 0.4 / 4

= 0.1

Zcritical at 99% = 2.576

Using the formula :

Sample size (n) = [ (Zcritical * σ) / M. E]^2

n = [(2.576 * 0.1) / 0.025]^2

n = (0.2576 / 0.025)

n = 10.304^2

n = 106.172

n = 107 samples

5 0
3 years ago
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