Answer:
Unit rate is often a useful means for comparing ratios and their associated rates when measured in different units. The unit rate allows us to compare varying sizes of quantities by examining the number of units of one quantity per one unit of the second quantity. This value of the ratio is the unit rate.
Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?
Answer:
20
Step-by-step explanation:
20 dollars plus 10% = 22
This is due today!
A weather station on the top of a mountain reports that the temperature is currently 0 degrees Celsius and has been falling at a constant rate of 3 degrees per hour. If it continues to fall at this rate, what will the temperature be in 2 hours, and in 5 hours
Answer:
in 2hrs = -6°C
in 5hrs = -15°C
in half an hr = -1.5°C
Step-by-step explanation:
in an hr, the temperature falls by 3°C = 0 -3 = -3°C
in 2hrs = 2*-3°C = -6°C
in 5hrs = 5*-3°C = -15°C
in half an hr = 0.5 * -3°C = -1.5°C
Step-by-step explanation:
Answer:
Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at 15 degrees.
Step-by-step explanation:
3+2 5+3
The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)
Answer:
H0 : μ = 3.2
H1 : μ > 3.2
1.982
We fail to reject the Null ;
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Step-by-step explanation:
μ = average time taken by the previous contractor. ; μ = 3.2
H0 : μ = 3.2
H1 : μ > 3.2
Sample size, n = 12 ;
X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
xbar = Σx / n = 53.2 / 12 = 4.43
Standard deviation, s ; using a calculator :
s = 2.15
B.)
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(4.43 - 3.2) ÷ (2.15 / sqrt(12))
1.23 ÷ 0.62065
= 1.982
C.)
Decision Region :
If Pvalue < α ; Reject the null
α = 0.05
Pvalue :
P(x < 1.982) = 0.9762
0.9762 > 0.05 ; Hence, we fail to reject the Null
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Question 5.... plz help
Answer:
ANSWER : 4
Step-by-step explanation:
hello :
tanA=7/2 means : A= tan^-1 (7/2) =74°
Identify the terminal point for a 45° angle in a unit circle.
9514 1404 393
Answer:
(x, y) = ((√2)/2, (√2)/2))
Step-by-step explanation:
See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).
Identify the slope in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. 1
Answer:
A) -1/3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
m = -1/3
Evaluate x/y when x=32 and y=4.
Answer:
x = 32
y = 4
x/y = 32/4 = 8
Hope it helps!
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answer:
2 * 2 * 5 * 5
Step-by-step explanation:
100 = 2 * 50
= 2 * 2 * 25
= 2 * 2 * 5 * 5
Determine if the ratios are equivalent: 12:16 and 72:96 *
10 points
Equivalent
Not Equivalent
Answer:
Step-by-step explanation:
12 : 16
Both have 4 in common
3 : 4
72 : 96
Both have 12 in common
6 : 8
Both have 2 in common
3 : 4
So both the ratios are equivalent
Which of the following is a factor of 2x2 - x-6?
O (x+2)
O (2x - 3)
o (x – 3)
O (2x + 3)
10x ___ = 10
4/4 5/4 3/4
You have 28 meters of fencing to make a rectangular garden.What different size rectangular gardens could you make with this fencing
Answer: Do you have a pic
Step-by-step explanation:
#7 and #8 PLEASE HELP!!
Answer:
7) x=15.2643
8) x=21.33
Step-by-step explanation:
7) 8²+13²=c²
64+169=c²
233=c²
c²=√233
c=15.2643
8) 11²+x²=24²
121+x²=576
x²=576-121
x²=455
x=√455
x=21.33
Simon pays $9 for 6 visits to swim at the community pool. He pays $18 for 12 visits to swim. How much does it cost for each visit to the pool?
Answer:
$1.50
Step-by-step explanation:
If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money
Hope this helps :)
Please help will give brainliest
Answer:
A+B=180°(linear pair)
a+ 52°=180°
a=180°-52°
a=128° is your answer
Suppose a geyser has a mean time between eruptions of 83 minutes let the interval of time between the eruptions be normally distributed with the standard deviation 33 minutes what is the probability that a randomly selected time interval between eruptions is longer than 97 minutes
Answer:
0.336
Step-by-step explanation:
Here the mean is 83 min and the standard deviation is 33 minutes. Note that
1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes. So 97 minutes is above the mean and below 1 standard deviation above the mean.
What is the probability that the interval is BELOW 97 minutes? If we find this, subtracting it from 1.000 results in the desired probability.
Using the Distribution key on my TI 83 Plus calculator, I get:
normalcdf(-100,97, 83,33) = 0.664.
Subtracting this from 1.000 results in 0.336.
Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.
Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)
DO NOT SEND ANY LINKS.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
0.5
Step-by-step explanation:
If y = -4, then we must replace every variable y with the number 4. So, let's do that.
2/-4 + 1/2*(-4 + 6)
All we have to do now, is simplify. Parenthesis first...
2/-4 + 1/2*2
We can replace the 1/2*2 with 2/2 because they are the same thing.
2/-4 + 2/2
Now, solve from left to right.
-0.5 + 1 = 0.5
Therefore, the answer is equal to 0.5. Hope this helps!
will mark brainlist!! help please
Answer:
It is the 3rd one 9/5y+9.
What is the measurement of Angle E? A) 45° B) 600 ( 75° D) 90°
Not sure if you accidentally typed 600 instead of 60, but the answer should be 60º
explanation:
angles in a triangle sum to 180º, as shown by the triangle on the right (45+75+60=180)
so the missing angle E would be 60º
answer and show proof for branliest
Answer:
-2(4 - 1)
Step-by-step explanation:
Choice A: ❌
9-(-17)
9 + 17 = 26
Choice B: ❌
(4 - 16)/(-2)
(-12)/(-2)
6
Choice C: ✅
-2(4 - 1)
-2(3)
-6
Choice D: ❌
3 x (-2) x (-1)
-6 x (-1)
6
Answer:
- 2(4 - 1)
Step-by-step explanation:
9 - (- 17)
9 + 17 = 26
[tex]\frac{4 - 16}{-2}[/tex] = 12
- 2(4 - 1)
- 2(3) = - 6
3 × - 2 × - 1 = 6
A bank loaned out $8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest. The total interest earned for both loans was $785.00. How much was loaned at each rate?
$____ was ;oaned at 14% and $____ was loaned at 5%
Answer:
$4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.
Step-by-step explanation:
Given that a bank loaned out $ 8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest, and the total interest earned for both loans was $ 785.00, to determine how much was loaned at each rate you must perform the following calculation:
8,500 x 0.14 + 0 x 0.05 = 1,190
6,500 x 0.14 + 2,000 x 0.05 = 1,010
4,500 x 0.14 + 4,000 x 0.05 = 830
4,000 x 0.14 + 4,500 x 0.05 = 785
Thus, $ 4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.
write the correct standard form of (2x100)*(3x10)*(4x1/100)
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP
-giving brainlist
Answer:
1. -x+y
2. 3a -4b
3. 5g-3y+8
4.4g-4w
5.3x-4
6.1+2a
7. c
8. 6-3x-4y
9. -5h-3+3f
10. 0
b. simplify 2(x+3) +2(2x+7) to get
6x+20
c. 12x +6
srry for the wait :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A1) 4x-5x+3y-2y
=-x+y
=y-x
2) 2a-3b-b+a
=2a+a-3b-b
=3a-4b
3) 6g-g+8-3y
=5g-3y+8
4) 3g+g-3w-w
=4g-4w
5) 4x+3-x-7
=4x-x+3-7
=3x-4
6) 4t+1-4t+2a
=4t-4t+1-2a
=1-2a
7) 6c+2+2c-2-7c
=8c-7c
8) 6-2x-5y-x+y
=6-3x-5y+y
=6-3x-4y
9)4h+3-h+3f-9h-5+h-1
=-6h-3+3f
=3f-6h-3
10) 1-x+y-2x-2y-1+3x+y
=0
B) The perimeter
= (2x+7)2+(x+3)2
=4x+14+2x+6
=6x+20
C) The perimeter
=3x+3+3x+1+x+2+x+(3x+3-x-2)+(3x+1-x)
=3x+3+3x+1+x+2+x+3x+3-x-2+3x+1-x
=12x+8
what is the length of PR?
Answer:
Step-by-step explanation:
V.
Simplify the expression using the distributive property.
14.
3(2x - 5)
I’m
Answer: 6x-15
Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15
Answer:
6x-15
Step-by-step explanation:
Distributive property means that you would be distributing.
So, 3 · 2x = 6x
3 · -5 = -15
You cannot simplify any further, so the final answer is 6x - 15.
Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P
ou have decided to find a new one-bedroom apartment to live in. You want to find an apartment no further than a 30 miles from EKU. Using Zillow you take a random sample of 61 apartments. The mean rent of the sample is 640 dollars and the standard deviation 55 dollars. You want to use 95% confidence interval for the mean monthly rent for one-bedroom apartments within 30 miles of EKU to get an idea of how much on average people spend. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 2 decimal places)
Answer:
hfcfkyhgctyirkgt,ckcikkccy
Step-by-step explanation:
Which fraction is closest to 1/2? A number line from negative 1 to 1 in halves. 1/6 3/8 3/4 ‐1/2
WILL GIVE BRAINLIEST !!
19. Car repairs. A consumer
organization estimates that
over a 1-year period 17% of cars will need to be repaired
once, 7% will need repairs twice, and 4% will require
three or more repairs. What is the probability that a car
chosen at random will need
a) no repairs?
b) no more than one repair?
c) some repairs?
Answer:
I think the answer is b. I am not sure so if I was incorrect I apologize.
Step-by-step explanation:
Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answer:
24 [tex]\frac {3} {8}[/tex] m
Step-by-step explanation:
[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]
[tex]\frac{15x13}{2x4}[/tex]
Simplify
[tex]\frac{195}{8}[/tex]
Answer: 24 [tex]\frac{3}{8}[/tex] m
The area of the grass seed Jerome needs to cover is A = 34.375 m²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the grass seed needs to cover be A
Now , the area of the lawn L = ( 11 3/4 ) x 5 m²
The area of the lawn L = 58.75 m²
where the length of the pool l= ( 7 1/2 ) m = 7.5 m
The width of the pool is w = ( 3 1/4 ) m = 3.25 m
Now , Area of Rectangle = Length x Width
On simplifying , we get
Area of the pool P = 7.5 x 3.25 = 24.375 m²
Now , the area of the grass seed needs to cover A = L - P
The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²
The area of the grass seed needs to cover A = 34.375 m²
Therefore , the value of A is 34.375 m²
Hence , the area of the grass seed is 34.375 m²
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