Answer:
One example would be y = -3x
Step-by-step explanation:
We can more easily find a line parallel to the given equation if it is put in slope intercept form.
3y = -27 - 9x
y = -3x - 9
So the slope is -3. You can choose any line also with a slope of -3.
A pick-up truck is fitted with new tires which have a diameter of 43 inches. How fast will the pick-up truck be moving when the wheels are rotating at 400 revolutions per minute? Express the answer in miles per hour. (mph)
Answer:
v = 51.19 mph
Step-by-step explanation:
The diameter of the tires, d = 43 inches
The angular velocity of the wheels = 400 revolutions per minute
400 revolutions per minute = (400/60) rev/s = 6.67 rev/s
The circumference of the tire is :
C = 2πr
= 2π×21.5
= 135.08 inches
The speed of the truck is given by :
[tex]v=6.67 \times 135.08 \\\\v=900.983\ in/s[/tex]
or
v = 51.19 mph
So, the speed of the truck is equal to 51.19 mph.
4 more than twice a number is less than the opposite of the number
Answer:
x=1
Step-by-step explanation:
2n+4<-n
:
2n+n+4<0
:
3n<-4
:
n<-4/3
:
0<2
THIS IS DUE NOW wiil give crown if right Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?
Answer:$52.60
Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.
ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!!
Which graph shows a non-proportional tinear relationship between x and y
A
с
B
D
Find the degree of the polynomial
Answer:
2
degree is highest exponent in equation and 2x² has 2 and is highest
Which two integers is √123 between?
9514 1404 393
Answer:
11 and 12
Step-by-step explanation:
√123 ≈ 11.0905 lies between 11 and 12.
__
Since you're familiar with your squares, you know ...
11^2 = 121
12^2 = 144
123 lies between 121 and 144, so √123 lies between 11 and 12.
Marsha will deposit $5,000 into an account for 10 years. What is the interest earned for 5%?
Answer:
$2,500
Step-by-step explanation:
I = Prt
Given:
P = 5000
r = 0.05
t = 10
Work:
I = Prt
I = (5000)(0.05)(10)
I = 250(10)
I = 2500
find the product
X5.X4.X3
Answer:
= X¹²
Step-by-step explanation:
According to law of indices
a^m * a^n = a^{m+n}
Hence;
X5.X4.X3
= X⁵⁺⁴⁺³
= X¹²
Note that all the powers are added since it is multiplication
A student records the repair cost for 17 randomly selected TVs. A sample mean of $73.10 and standard deviation of $16.01 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the TVs. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
49.34 i think
Step-by-step explanation:
In a study conducted by the US department of Health and Human Services, a sample of 546 boys aged 6-11 was weighed, and it was determined that 87 of them were overweighted. A sample of 508 girls aged 6-11 was also weighed, and 74 of them were overweighted. (a) Find a 90% confidence level for the difference of overweight proportion for aged 6 -11 between boys and girls. (b) Can you conclude that the proportion of overweight boys is higher than the proportion of girls who are overweight? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?
Answer:
a) CI = ( - 0,0087 ; 0,0355)
b) No CI contains 0 meaning that statistically the proportions could be equal
Step-by-step explanation:
Boys Sample
Size sample n₁ = 546
x₁ = 87
proportion p₁ = 87/546 p₁ = 0,159 p₁ = 15,9 %
Girls sample
Size sample n₂ = 508
x₂ = 74
proportion p₂ = 74 / 508 p₂ = 0,1456 p₂ = 14,56 %
Hypothesis test:
Null hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ ≠ p₂
Confidence Interval CI = 90 % significance level α = 10 %
α = 0,1 and as the alñternative hypothesis indicates is a two-tail test
then α/2 = 0,05
z(score) for 0,05 is from z table z(c) = 1,64
Confidence Interval 90 % is:
CI = [( p₁ - p₂) ± z(c) * √ p*q * ( 1/n₁ + 1 / n₂ )
p = (x₁ + x₂ ) / n₁ + n₂
p = ( 87 + 74 ) / 546 + 508
p = 0,1527 then q = 1 - 0,1527 q = 0,8473
CI = 0,0134 ± √ 0,1527*0,8473 ( 1/546 + 1 / 508 )
CI = 0,0134 ± 0,0221
CI = ( - 0,0087 ; 0,0355)
CI contains 0 meaning that difference between the groups could be 0
Therefore we can conclude that proportion on both groups are different. We can´t reject H₀
We need to calculate z(s)
z(s) = [ p₁ - p₂ ] / √ p*q * ( 1/n₁ + 1 / n₂ )
p = (x₁ + x₂ ) / n₁ + n₂
p = ( 87 + 74 ) / 546 + 508
p = 0,1527 then q = 1 - 0,1527 q = 0,8473
z(s) = [ 0,159 - 0,1456] / √ 0,1527*0,8473 ( 1/546 + 1 / 508 )
z(s) = 0,0134/ √0,1294 ( 0,0018 + 0,00196 )
z(s) = 0,0134/ √0,1294 ( 0,0038)
z(s) = 0,0134/ 0,0221
z(s) = 0,61
p-value for z(s) = 0,61 p-value = 0,7291
p-value > 0,05
As p-value is bigger than 0,05 we have to accept H₀. We don´t have enough evidence to claim any difference between the two groups
A test was done to look at the maximum speed of mopeds. They found that the maximum speed had a normal distribution with a mean of 29 mph and standard deviation of 1.4 mph. Consider randomly selecting a moped.
a. What is the probability that the maximum speed is at most 31 mph?
b. What is the probability that the maximum speed is at least 29.8 mph?
c. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?
d. Suppose we select 49 mopeds, what is the probability that the sample mean will be at least 29.5 mph?
Answer:
C
Step-by-step explanation:
Original price New price Calculation Converted to fraction over 100 % change
$20
$16
20 - 16
20
=
4
20
4 20
20 100
$20
$15
Answer:
1.20%
2.25%
Step-by-step explanation:
in 2.i converted to fraction over 100 and I've changed to percentage.I think that's what you needed hope it helps.
HELPPPPPPPPP PLEASEEEE
Answer:
X=17
Step-by-step explanation:
7x-1+5x-23=180
12x-24=180
12x=204
x=17
can someone help me please
9514 1404 393
Answer:
1. 5000
2. the year is 2003
3. > 1000; evaluate the function
Step-by-step explanation:
1. The value of t is "years since 2005." In 2005, the value of t is zero. To find the model's prediction for 2005, substitute t=0.
p = 5000·2^0 = 5000·1
p = 5000 . . . . in 2005
__
2. When t=-2, it means you're concerned with the population 2 years before 2005. That is, you are modeling the population in 2003.
__
3. Evaluate the function for t=-2:
p = 5000·2^(-2) = 5000·1/4 = 1250
For t=-2, the fish population is 1250, which is more than 1000.
Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.
Answer:
Raja made an error in d equality sign in d answer
Step-by-step explanation:
-3x< or =6
when dividing both sides by -(negative)3, the sign 4 d answer changes
x > or = -2
Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.
Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.
Answer:
Step-by-step explanation:
this is called "monotonically decreasing" as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero, the number gets smaller and smaller.... it approaches zero is what happens.
What is the simplified expression of 14 – 8 + 4 × 11 ÷ 22 + 6 – 11?
Answer:
your answer will be 3
Step-by-step explanation:
Please help i dont understand
Answer:
100 for the square
217.81 for the entire firgue
Step-by-step explanation:
For the square it's bh so do that formula
A = 10x10
A = 100
then for the semicircles that's half of a circle do the area of a circle formula and then multiply by half
A = 3.14×25
A = 78.54×0.5
A = 39.27
since we have 3 of them we are going multiply that by 3.
39.27 × 3 = 117.81
then we add them all up
117.81 + 100 = 217.81
What type of angles are 4 and 5? Refer to the image attached pls
Answer:
alternate interior angles
Step-by-step explanation:
Answer:
alternate interior angles
2. Which of the following is considered an
asset?
A Savings account
B Credit card debt
C Personal loan
D Mortgage
Answer:
A
Step-by-step explanation:
All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.
Which pair of ratios is proportional?
A. 3 ft : 8 sec and 5 ft : 11 sec
B. 6 yd : 10 mi and 18 yd : 30 mi
C. 3:25 and 5:50
D. 6 in. : 8 min and 3 min : 2 in.
Solve if you want cookie!
Step-by-step explanation:
[tex]y = 2x \: \: \: \: x + y = 6 \\ y = 2x \: \: \: \: x = 6 - y \\ y = 2(6 - y) \: \: \: \: x = 6 - y \\ 3y = 12 \: \: \: \: x = 6 - y \\ y = 4 \: \: \: \: x = 2[/tex]
Gimme tha cookie
What is the value of y?
Please help!
please help me on this
Answer: 7/8
Step-by-step explanation:
There are 8 tickmarks on the number line, each representing 1/8.
So, the question mark represents 7/8 (since it is one tickmark to the left of 1)
help help please it due rn?
Answer:
Step-by-step explanation:
E : -5 , -3
F: 2 , -7
Distance = sqrt( ( 2 -(-5)) * ( 2 -(-5)) + (-7 -( -3)) *(-7 -( -3)) )= sqrt ( 49 + 16 ) = sqrt (65)
Drag the numbers to create three ratios that are equivalent to 4:12. Each number may be used once or not at all.
Answer: 20:60, 12:36, 2:6
Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.
plz help i will give brainliest plzzz
Answer:
3 more red marbles
Step-by-step explanation:
When you add up all of the marbles, there are 13 marbles.
The objective is to have the probability of selecting a blue marble from the bag to be 1/4. Since there are 4 blue marbles and 4 is 1/4th of 16, 16-13 is 3 so you add 3 more red marbles to have that chance.
I hope this helps!!!
ALGEBRA
identify the terms, coefficients, and constants in the expression.
5m+9
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
How many square feet of wallpaper are required to cover the wall surrounding the window?
Answer:
between C and D
im going to say C to be safe tho
Answer: 131 ft^2
Step-by-step explanation:
the window is 77 ft and the wallpaper is 208 ft
so you subtract 77 from 208 and your answer will be 131.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!