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Virty [35]
2 years ago
12

The floor of a storage unit is 5 feet

Mathematics
1 answer:
Oliga [24]2 years ago
5 0
I don’t know but I hope you had a good day
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Rewrite the equation 2x+6x^(2)-1=3x^(2) in standard form and identify a, b, and c.
Fed [463]
Hi there!

2x + 6 {x}^{2}  - 1 = 3 {x}^{2}
First subtract 3x^2 from both sides.

2x + 3 {x}^{2}  - 1 = 0
Now rearrange the equation.

3 {x}^{2}  + 2x - 1 = 0
Finally we can see our answer.

a = 3
b = 2
c =  - 1





8 0
4 years ago
Dexter’s aquarium holds 4.5 gallons of water. He needs to add some chemicals to balance the pH level in the aquarium. However, t
Sati [7]

Answer:

the answer is d 17.1 L

Step-by-step explanation:

8 0
3 years ago
The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in t
andreyandreev [35.5K]

Answer:

The test statistic is c. 2.00

The p-value is a. 0.0456

At the 5% level, you b. reject the null hypothesis

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly different than 3 minutes.

This means that the mean and the alternate hypothesis are:

Null: H_{0} = 3

Alternate: H_{a} = 3

The test-statistic is given by:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

Sample of 100 customers.

This means that n = 100

3 tested at the null hypothesis

This means that \mu = 3

The average length of time it took the customers in the sample to check out was 3.1 minutes.

This means that X = 3.1

The population standard deviation is known at 0.5 minutes.

This means that \sigma = 0.5

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is z = 2.

The p-value is

Mean different than 3, so the pvalue is 2 multiplied by 1 subtracted by the pvalue of Z when z = 2.

z = 2 has a pvalue of 0.9772

2*(1 - 0.9772) = 2*0.0228 = 0.0456

At the 5% level

0.0456 < 0.05, which means that the null hypothesis is rejected.

7 0
3 years ago
Express 11011 in base two ​
WITCHER [35]

Answer:

27

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question

8 0
3 years ago
Find the center and radius of this circle x^2+y^2-6x-10y+30=0
Artist 52 [7]

Answer:

Center: (3,5)

Radius: 2

Step-by-step explanation:

x² + y² - 6x - 10y + 30 = 0

Put equation into center-radius form. First regroup terms:

(x²-6x) + (y²-10y) = -30

Complete the squares:

(x²-6x+3²) + (y²-10y+5²) = -30 + 3² + 5²

(x-3)² + (y-5)² = 4 = 2²

Center: (3,5)

Radius: 2

8 0
2 years ago
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