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Sladkaya [172]
3 years ago
7

Write the slope-intercept equation of line that passes through (4,-5) and (5, -7).

Mathematics
1 answer:
Georgia [21]3 years ago
4 0

Answer:

y = mx + b

m = (-7 - -5) / (5 - 4) = -2

y = -2x + b

Use either point to find b

Using (4, -5):

-5 = (-2)(4) + b

-5 = -8 + b

b = 3

y = -2x + 3

Step-by-step explanation:

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Find the product.<br><br> (8-3z)(8+3z)
maks197457 [2]

Step-by-step explanation:

you can open the file I gave you now. the answer is there

7 0
2 years ago
At a university, 60% of the 7,400 students are female. The student newspaper reports the results of a survey of a random sample
omeli [17]

Given Information:

Population mean = p  = 60% = 0.60

Population size = N = 7400

Sample size = n = 50

Required Information:

Sample mean = μ = ?

standard deviation = σ = ?

Answer:

Sample mean = μ = 0.60

standard deviation = σ = 0.069

Step-by-step explanation:

We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10

np ≥ 10

50*0.60 ≥ 10

30 ≥ 10 (satisfied)

n(1 - p) ≥ 10

50(1 - 0.60) ≥ 10

50(0.40) ≥ 10

20 ≥ 10  (satisfied)

The mean of the sampling distribution will be same as population mean that is

Sample mean = p = μ = 0.60

The standard deviation for this sampling distribution is given by

\sigma = \sqrt{\frac{p(1-p)}{n} }

Where p is the population mean that is proportion of female students and n is the sample size.

\sigma = \sqrt{\frac{0.60(1-0.60)}{50} }\\\\\sigma = \sqrt{\frac{0.60(0.40)}{50} }\\\\\sigma = \sqrt{\frac{0.24}{50} }\\\\\sigma = \sqrt{0.0048} }\\\\\sigma =  0.069

Therefore, the standard deviation of the sampling distribution is 0.069.

4 0
2 years ago
Drag the simplified value into the box to match each expression.
AveGali [126]

Answer:

2^{3} +1⋅4−3 = 9

2^{0}+10−4⋅2 = 3

3+5^{2} -6⋅4 = 4

Step-by-step explanation:

4 0
2 years ago
Solve the equation and check your answer. 0.95 t plus 0.05 left parenthesis 100 minus t right parenthesis equals 0.49 left paren
Triss [41]
<h2>Answer:</h2>

The value of t is:

                     t=48.8889

<h2>Step-by-step explanation:</h2>

We are asked to solve the linear equation in terms of variable t.

The equation is given by:

0.95t+0.05(100-t)=0.49(100)

Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:

0.95t+0.05\times 100-0.05t=49

Now we combine the like terms on the left side of equality by:

0.95t-0.05t+5=49\\\\i.e.\\\\0.90t+5=49

Now we subtract both side of the equation by 5 to get:

0.90t=44

Now on dividing both side of the equation by 0.90 we get:

t=\dfrac{44}{0.90}\\\\i.e.\\\\t=48.8889

Hence, the value of t is:   48.8889

7 0
3 years ago
Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. If AD=4w-5 DE=4 BE=x/2 BC=7w-17 solve for w.
Alex777 [14]

Answer:

B. w = 4

Step-by-step explanation:

As we know, in a parallelogram length of opposite sides are equal.

so, AD = BC

⇒ 4w - 5 = 7w - 17

⇒ 12 = 3w

⇒ w = 4

8 0
3 years ago
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