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astra-53 [7]
2 years ago
8

The measure of an angle is 23 less than 5 times it’s supplement. Find the angle measurement. Show/explain work

Mathematics
1 answer:
sertanlavr [38]2 years ago
8 0
Let the measure of an angle be "a"
let the supplement be "s"

a= s-23
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Please help me on this question
Marrrta [24]
It is the right answer........

4 0
3 years ago
What is the equation of the line that passes through (5, 3) and (4, 5)
lara31 [8.8K]

Answer:

y = - 2x + 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-5} = \frac{2}{-1} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 5), then

5 = - 8 + c ⇒ c = 5 + 8 = 13

y = - 2x + 13 ← equation of line

7 0
3 years ago
Suppose I claim that the average monthly income of all students at college is at least $2000. Express H0 and H1 using mathematic
pishuonlain [190]

Answer:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 200 or no

Step-by-step explanation:

For this case we want to test if the the average monthly income of all students at college is at least $2000. Since the alternative hypothesis can't have an equal sign thne the correct system of hypothesis for this case are:

Null hypothesis (H0): \mu \geq 2000

Alternative hypothesis (H1): \mu

And in order to test this hypothesis we can use a one sample t or z test in order to verify if the true mean is at least 2000 or no

7 0
3 years ago
What is the probability that five randomly selected students will have a mean score that is greater than the mean achieved by th
katrin2010 [14]

Answer:

the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

Step-by-step explanation:

From the five randomly selected students ; 160, 175, 163, 149, 153

mean average of the students = 160+175+163+149+153/5

= mean = x-bar = 800/5

mean x-bar = 160

from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]

P( Z>2.34) = from normal Z-distribution table

= 0.0096419

= 0.0096

hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

where SD = standard deviation = 3.94 and Miu = 150.8

5 0
3 years ago
25% of what number is 21
chubhunter [2.5K]
If we call the number "x" then:
x*25%=21
x*25/100=21
x=21*4
x=84
8 0
3 years ago
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