If x = -2 satisfies the system, then
y = 4x + 10 = 4(-2) + 10 = -8 + 10 = 2
so that
y = mx - 4 ⇒ 2 = -2m - 4
Solve for m :
2 = -2m - 4 ⇒ 2m = -6 ⇒ m = -3
The heights of NFL football players are approximately normally distributed with a mean of 71.5 inches and a standard deviation of 2.3 inches. The middle 75% of all NFL players have heights between
(A) 68.9 inches to 76.1 inches
(B) 69.2 inches to 73.8 inches
(C) 68.9 inches to 74.1 inches
(D) 66.9 inches to 76.1 inches
(E) None of the above give an accurate interval
Answer:
I would say B
Step-by-step explanation:
I'm sorry, I don't have an explanation
The middle 75% of all NFL players have heights between in (A) 68.9 inches to 76.1 inches.
What is Standard score?It is the representation of a data value in terms of distance from standard deviation from the mean. It is also called z-score.
It measures how many standard deviations the measure is from the mean. After finding the z-score, we have to look at the z-score table and then the p-value associated with this z-score, which is the percentile of X.
Given that Mean = μ = 64.4 inches
Standard Deviation = σ = 2.3 inches
We have to find the standard score for players height;
So, Let x = 75% = 0.75
Therefore the formula for z-score is:
x - mean / S.D
0.75 = x - 71.5/2.3
x = 76.10
Rounding off to nearest hundredth
z-score = 76.1
Hence, The middle 75% of all NFL players have heights between in
(A) 68.9 inches to 76.1 inches.
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2.5 kg rice at $1.90 per kg and 1.5 kg cornmeal at $2.92 per kg
Answer: 2.5kg rice costs $4.75 and 1.5kg cornmeal costs $4.38
Rice:
1kg costs $1.90
2.5kg will cost 1.90 * 2.5
--> $4.75
Cornmeal:
1kg costs $2.92
1.5kg costs 2.92*1.5
--> $4.38
P(x)=x-3
g(x) = 2x-5
Find the following.
(p °q) (5)= and (q °p) (5)=
Part 1) Computing (p °q) (5)
[tex]p(x) = x-3\\\\p(q(x)) = q(x)-3\\\\(p \circ q)(x) = 2x-5-3\\\\(p \circ q)(x) = 2x-8\\\\(p \circ q)(5) = 2(5)-8\\\\(p \circ q)(5) = 2\\\\[/tex]
Answer: 2===========================================================
Part 2) Computing (q °p) (5)
[tex]q(x) = 2x-5\\\\q(p(x)) = 2(p(x))-5\\\\q(p(x)) = 2(x-3)-5\\\\(q \circ p)(x) = 2x-6-5\\\\(q \circ p)(x) = 2x-11\\\\(q \circ p)(5) = 2(5)-11\\\\(q \circ p)(5) = -1\\\\[/tex]
Answer: -1A motorboat moves across a lake at a constant speed. When it begins, it is 28
km from the shore. After 12 minutes, it is 4 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y=-12x+28
B. y=-2x + 28
c. y = 2x+28
D. y = 12x + 28
Answer: B. y= -2x+28
Steps:
In the equation, take,"y" as result of the distance of the motorboat from the shore.
Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4
After doing all the equations i m pretty sure you will that B. y= -2x + 28
y= -2 * 12 + 28
y= -24+28
y= 4
Answer:
The answer is B
Step-by-step explanation:
a A rocket is launched from a tower The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground , the nearest 100th of second y=-16x^2+148x+128
Answer:t=10.05s
Step-by-step explanation:
evaluate the expression 5 /6 + -3 /5
Step-by-step explanation:
[tex] \frac{7}{30} [/tex]
[tex] \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} [/tex]
Solve for X 3x - 5X + 8x + x = 42
7
8
6
Answer:
x = 6
Step-by-step explanation:
3x-5x+8x+x = 42
7x = 42
x = 6
(a²-4) (9-b²) +24ab algebraic factorization
Answer: -a2b2 + 9a2 + 24ab + 4b2 - 36
Step-by-step explanation:
A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
AB = BA is the commutative property of multiplication.
- AB + AB equals zero and is therefore eliminated from the expression.
Pharaphrase it if used.
please help me somebody will
Answer:
66/54
Step-by-step explanation:
Slove the followings.
1. Use your calculator to work out the weight of rubbish in each category.
2. A household produces 1.2 t of rubbish in a year. How many adults live in the house?
3. a. How much rubbish would an adult produce in a year if he recycled the glass, paper, and card?
b. What if he also had a compost heap at foot of his garden for vegetable and decomposable material?
2. The number of adults who live in the house is 3 (1,200/400).
3.a. If an adult recycled the glass, paper, and card that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.
b. If the adult, in addition, had a composite for vegetable and decomposable material, he will generate 152 kg (400 kg x (1 - 62%).
Data and Calculations:
1 ton = 1,000 kg
Weight of rubbish produced by an adult per year = 400 kg
Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)
Percentage of Vegetable and decomposable material = 20%
Percentage of glass, paper, and card = 42% (33% + 9%)
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A line passes through the point (-2,-6) and has a slope of 5/2. Write an equation in slope-intercept from this line.
Slope = 5/2
y intercept = -1
======================================================
Work Shown:
m = 5/2 = slope
(x1,y1) = (-2,-6) = point the line goes through
y-y1 = m(x-x1) .... point slope form
y-(-6) = (5/2)(x-(-2))
y+6 = (5/2)(x+2)
y+6 = (5/2)x + (5/2)*2
y+6 = (5/2)x + 5
y = (5/2)x + 5 - 6
y = (5/2)x - 1
This equation is in slope intercept form y = mx+b
m = 5/2 = slope
b = -1 = y intercept
A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at α = 0.5?
Answer:
here p=0.65 and n=100 hence standard error =(p*(1-.
Step-by-step explanation:
[35 - (8 + 2)x 3 ] what is the answer
Answer:
5
Step-by-step explanation:
[35 - (8 + 2)x 3]
[35 - (10)x 3]
[35 - 30]
[5]
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Answer: They are inverses of each other.
Explanation:
f(x) = -x+5
f(g(x)) = -(g(x)) + 5
f(g(x)) = -(-x+5) + 5
f(g(x)) = x - 5 + 5
f(g(x)) = x
The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.
Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.
Of the 50 students in cooking club, 30% are in 7th grade. How many actual students are in 7th grade?
Answer:
15 of them are in 7th grade
Step-by-step explanation:
Free tutor + free answer thank you give me that please
Answer:
Given that they know the law I think 82.93% of drivers obey this law
Answer:
the answer is
Step-by-step explanation:
i took the test
how many degrees is 37 degrees warmer than -13
how many is 38 degrees warmer than -20
Answer:
98.6° Fahrenheit ( i did it in celsius sorry if i got it wrong)
Step-by-step explanation:
Find the value of x,y, and z. Simplify the radical
Answer: This question is incomplete. I need an expression.
use the formula A=LW to find the length of a rectangle when the width is 29 yards and the are is 1,044 square yards. Help please thank you guysssss
Answer:
L = 36 yd
Step-by-step explanation:
Given the area of a rectangle of 1044 yd², and a width of 29 yards:
Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):
A = L × W
where:
A = area of a rectangle = 1044 yd²
L = length of a rectangle
W = width of a rectangle = 29 yd
Solution:Divide both sides by W to isolate L:
[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]
[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]
Substitute the values for the area and the width of a rectangle:
[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]
L = 36 yd
Therefore, the length of a rectangle is 36 yards.
If <11 = <8, then which lines are parallel?
Answer:
lines c and p
Step-by-step explanation:
F(t) = 200(0.95)^t
What is the rate of change?
Answer:
f(t)=-5%
Step-by-step explanation:
Answer:
the rate of change is 5%
Step-by-step explanation:
Given : Function
To find: What is the rate of change?
Solution :
The given function is an exponential function as it is in form
in which b is the factor of rate,
If b=1+r then r is the growth rate
If b=1-r then r is the decay rate.
We have given b=0.95
So, 0.95=1-r
r=1-0.95
r=0.05
i.e, It is a decay rate with 5%.
Therefore, The rate of change is 5%.
Help I need the answers ASAP
Answer:
7296 / 24 = 304
9216 / 18 = 512
A bus traveling at a constant rate of 50 miles per hour. At this rate, how far will the bus travel 3 1/4 hours?
First, let's do the easy part! Multiplying 50 by 3 will give us how far the bus would travel in 3 hours. 50 x 3 = 150.
Now let's do the quarter. 50 / 4 = 12.5. Simply add these two together now!
The bus will travel 162.5 miles!
Hope this helps :)
When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.
The middle 99.7% is within 60 seconds to 63 seconds.
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
mean (μ) = 60 seconds, standard deviation (σ) = 1 second
99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)
The middle 99.7% is within 60 seconds to 63 seconds.
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 A wall in Marcus's bedroom is 813 feet high and 1615 feet long. If he paints 13 of the wall blue, how many square feet will be blue?
Answer:
17,068,935 square feet
Step-by-step explanation:
square feet 1 wall = 813*1615 = 1312995
square feet 13 walls = 1312995*13 = 17068935 squre feet
Two angles are complementary. The smaller angle is 34 degrees less than the larger angle. What is the measurement of the smaller angle?
Answer:
56
Complementary means 90
Subtract 34 from 90
90-34 = 56
Can someone help me with his I will mark u brilliant
Answer: 1260 books
Step-by-step explanation:
2/5=0.4
19000x0.4=7600
12500x0.4=5000
7600+5000=12600
1/10=0.1
12600x0.1 = 1260
/Answer:
1,260 books (or C)
Step-by-step explanation:
1. 2/5 of fiction (12,500) are out, so 5,000 are out
2. 2/5 of non-fiction (19,000) are out, so 7,600 are out
3. Total books checked out are 12,600
4. 1/10 of checked out books are due this week, so 1,260 books (10%)
i was doing this task in math and I came across this:
x-12x=0.88x
.
can someone plz explain why is this equal to this?
I understand it's simplified, but how?
Answer:
mx+b+a= x-12x=0.88x
Step-by-step explanation:
Is the relationship between x and y proportional? Explain.
x y
5 25
6 30
7 35
8 40
Answer:
yes
Step-by-step explanation:
because
5/25=1/5
6/30=1/5
7/35=1/5
8/40=1/5
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The term laissez-faire refers to an economic system that is characterized by
A. public ownership of the basic means of production
B. equal distribution of goods and services to all citizens
C. little governmental involvement in business and financial matters
D. government planning for production of consumer goods
Answer:
Answer: C.
Step-by-step explanation:
the term laissez faire refers to the economic policy of letting owners of industry and business set working conditions without interference