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arsen [322]
3 years ago
10

Solve x(x−5)+4(x−5)=0, for x.

Mathematics
2 answers:
Anna11 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

x(x-5)+4(x-5)=0

x^2-5x+4x-20=0

x^2-1x-20=0

x^2-1x=-20

x^2=20/-1

x^2=20

square root of x^2=x

x=20

kherson [118]3 years ago
6 0
Here is your answer. Good luck!

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Water use in the summer is normally distributed with a mean of 311.4 million gallons per day and a standard deviation of 40 mill
r-ruslan [8.4K]

Answer: 0.965

Step-by-step explanation:

Given : Water use in the summer is normally distributed with

\mu=311.4\text{ million gallons per day}

\sigma=40 \text{ million gallons per day}

Let X be the random variable that represents the quantity of water required on a particular day.

Z-score : \dfrac{x-\mu}{\sigma}

\dfrac{350-311.4}{40}=0.965

Now, the probability that a day requires more water than is stored in city reservoirs is given by:-

P(x>350)=P(z>0.965)=1-P(z

We can see that on comparing the above value to the given P(X > 350)= 1 - P(Z < b) , we get the value of b is 0.965.

4 0
3 years ago
3. Penny's family decided to go to the Splash Park.
Anestetic [448]

Answer:

21.25

Step-by-step explanation:

because 85$ divided by the 4 tickets is 21.25

6 0
3 years ago
What makes a graph proportional
Alla [95]

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standa
nignag [31]

For this problem, the confidence interval is the one we are looking for. Since the confidence level is not given, we assume that it is 95%.

 

The formula for the confidence interval is: mean ± t (α/2)(n-1) * s √1 + 1/n


Where:

<span>
</span>

α= 5%


α/2 = 2.5%


t 0.025, 19 = 2.093 (check t table)


n = 20


df = n – 1 = 20 – 1 = 19

So plugging in our values:


8.41 ± 2.093 * 0.77 √ 1 + 1/20


= 8.41 ± 2.093 * 0.77 (1.0247)


= 8.41 ± 2.093 * 0.789019


= 8.41 ± 1.65141676


<span>= 6.7586 < x < 10.0614</span>

3 0
3 years ago
How can Sue use the converse of the Pythagorean Theorem to find out if a triangle with side lengths 28, 53, and 45 is a right tr
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Answer:

D

Step-by-step explanation:

28²+45²=53²

8 0
3 years ago
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