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3 years ago

Will give BRAINLIEST!!!

Mathematics

1 answer:

forsale [732]3 years ago

3 0

Answer:

y = 2x - 5

Step-by-step explanation:

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What is the equation of a line perpendicular to the line y=(4/9)x-2 that passes through the point (4,3)?

Hoochie [10]

<span>y=(4/9)x-2
This is in slope intercept form (y=mx+b), where m is the slope.
A perpendicular line will have the opposite reciprocal of the slope.
So if the slope here is 4/9, then the perpendicular line's slope will be -9/4.

Now that you have the slope (-9/4) and a point (4, 3), you can use the point-slope formula to find the equation.
y - y</span>₁ = m(x - x₁)
y - 3 = (-9/4)(x - 4)
y - 3 = (-9/4)x + 9
y = (-9/4)x + 12

So the answer will be:
C. <span>y= -(9/4)x+12</span>

3 0

3 years ago

The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment

defon

Answer:

t = -1.428

Step-by-step explanation:

Average blood pressure among people with high responsibility jobs = u = 140 mm

Number of people sampled for the study = n = 51

Average blood pressure of the sample = x = 139 mm

Standard deviation of the sample = s = 5 mm

The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:

Null Hypothesis: $\mu \geq 140$

Alternate Hypothesis: $\mu < 140$

Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.

Test statistic is calculated as:

$t=\frac{x-u}{\frac{s}{\sqrt{n} } }$

Using the values in this formula gives us:

$t=\frac{139-140}{\frac{5}{\sqrt{51}}}\\\\ t=-1.428$

Therefore, the value of test statistic is -1.428

4 0

3 years ago

The incomes in a certain large population of college teachers have a Normal distribution, with mean $75,000 and standard deviati

Natali [406]

Answer:

probability that their average salary is more than $77,500 is 0.1587

Step-by-step explanation:

standard error

= 10,000/sqrt(16)

=10,000/4

= 2500

(77,500 - 75000)/2500

2,500/2500

= 1

p (z > 1) = .1587

So, the probability that their average salary is more than $77,500 is 0.1587

8 0

3 years ago

Read 2 more answers

The middle of the skate ramp is 2.5 meters wide. Emelia and her father want to use a board that is 23.5 decimeters long. Is this

Vinvika [58]

Answer:

it's 1 dekameter (dam) = 10 meters you need to use that

4 0

2 years ago

In rhombus ABCD, DB=16 and AC=12. What is the perimeter of rhombus ABCD?

riadik2000 [5.3K]

DB+ DC= 32
AC+ AC =24
32+24
56

4 0

3 years ago