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Mama L [17]
2 years ago
10

4. Simplify the following A) (8x - 36)​

Mathematics
2 answers:
stiks02 [169]2 years ago
7 0

Answer:

4(2x-9)

Step-by-step explanation:

Reil [10]2 years ago
4 0

Answer:

it is in it's simplest form already.

Step-by-step explanation:

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Prove: The opposite sides of a parallelogram are equal.
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You either find the gradient or distance and if there are equal, therefore the opp are equal
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3 years ago
The price of a 5 minute phone call is $1.25 what is the price of a 17 minute phone call?
pychu [463]

Answer:

$4.25

Step-by-step explanation:

3 0
3 years ago
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Suppose that the mean water hardness of lakes in Kansas is 425 mg/L and these values tend to follow a normal distribution. A lim
tino4ka555 [31]

Answer:

The mean water hardness of lakes in Kansas is 425 mg/L or greater.

Step-by-step explanation:

We are given the following data set:

346, 496, 352, 378, 315, 420, 485, 446, 479, 422, 494, 289, 436, 516, 615, 491, 360, 385, 500, 558, 381, 303, 434, 562, 496

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{10959}{25} =438.36

Sum of squares of differences = 175413.76

S.D = \sqrt{\dfrac{175413.76}{24}} = 85.49

Population mean, μ = 425 mg/L

Sample mean, \bar{x} = 438.36

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = 85.49

First, we design the null and the alternate hypothesis

H_{0}: \mu \geq 425\text{ mg per Litre}\\H_A: \mu < 425\text{ mg per Litre}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{438.36 - 425}{\frac{85.49}{\sqrt{25}} } = 0.7813

Now, t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = -1.7108

Since,                        

The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.

Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.

6 0
3 years ago
Is the point P (2,8) on the inside or outside of the circle described with equation x^2+y^2=100?
kykrilka [37]

Points (x,y) on the circle satisfy x^2+y^2=100.

Points inside the circle satisfy x^2+y^2.

Points outside the circle satisfy x^2+y^2>100.

We have

2^2+8^2=4+64=68

so the point (2, 8) lies inside the circle.

6 0
3 years ago
Which of the binomials below is a factor of this trinomial? URGENT!!!
dangina [55]

Answer:

C

Step-by-step explanation:

10×-28=-280

35-8=27

35×(-8)=-280

10x²+27x-28

=10x²+(35-8) x-28

=10x²+35x-8x-28

=5x(2x+7)-4(2x+7)

=(2x+7)(5x-4)

5 0
3 years ago
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