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Ganezh [65]
3 years ago
13

Guys can u help me with 6 and 23 and 24 plz i really need help

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

6. (1-7y)(1+7y)

23. 2(4s-3u)(4s+3u)

24. 5q(q-2)(3q+2)

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The longest side of a triangle is eight more units than the shortest side . The third side is three times the length of the shor
inysia [295]

Answer:

shortest side= x

longest side= x+8

other side= 3x

x+x+8+3x= 33

5x+8=33

5x= 25

x= 5

shortest side= x= 5

longest side= x+8= 5+8= 13

other side= 3x= 3(5)=15

Step-by-step explanation:

8 0
3 years ago
What is the perimeter of PQR with vertices P(-2, 9), Q(7, -3) R(-2, -3) in the coordinate plane?
Sergio039 [100]

Answer:

p (perimeter) = 36

6 0
3 years ago
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How many solutions would there be for the following system of equations?
Mila [183]
Solution A1 is correct hope it helpsss
4 0
3 years ago
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Coffee: A popular chain of cafes has been receiving online complaints about one store location. Regular customers complained tha
hammer [34]

Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

H_0: \pi=0.1\\\\H_a:\pi>0.1

The significance level is assumed to be 0.05.

The sample has a size n=100.

The sample proportion is p=0.18.

p=X/n=18/100=0.18

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5

This test is a right-tailed test, so the P-value for this test is calculated as:

P-value=P(z>2.5)=0.006

As the P-value (0.006) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

7 0
3 years ago
6. Find the value of x in the triangle below.
Kobotan [32]

Answer:

The value of x is 21.

Step-by-step explanation:

Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :

(x + 3)² + 10² = (x + 5)²

x² + 6x + 9 + 100 = x² + 10x + 25

x² + 6x + 109 - x² - 10x - 25 = 0

-4x + 84 = 0

-4x = -84

4x = 84

x = 84 ÷ 4

x = 21 units

4 0
2 years ago
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