Answer:
A) Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume
Step-by-step explanation:
A) We are told that the mean sales volume is 14 automobiles per month.
The hypotheses is defined as follows;
Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume.
16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?
Answer:
Antoine bikes for 16B miles before starting his walk.
Step-by-step explanation:
16 is that speed which is covered in B hours by bike by Antoine
What is speed?Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Speed = [tex]\frac{distance}{time}[/tex]
Given,
16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk
Antoine travels partially by bike and partially by walk, and total covered 22
That means 16B is the distance covered by bike, and 16 is its speed.
Hence, 16 is that speed which is covered in B hours by bike.
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Write an equation in point-slope form for the line that is parallel to y = 3/4x -
3 and passes through point (4,3).
Answer:
The point-slope form of the equation of the parallel line is y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe point-slope form is of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the coordinates of a point lies on the line∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3
→ Compare it with the first form of the equation above
∴ m = [tex]\frac{3}{4}[/tex]
∴ The slope of it is [tex]\frac{3}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]\frac{3}{4}[/tex]
∵ The point-slope form is y - y1 = m(x - x1)
→ Substitute the value of the slope in the form of the equation above
∴ y - y1 = [tex]\frac{3}{4}[/tex] (x - x1)
∵ The line passes through the point (4, 3)
∴ x1 = 4 and y1 = 3
→ Substitute them in the equation above
∴ y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
∴ The point-slope form of the equation of the parallel line is
y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Help!!! Write the equation of the parabola in vertex from
Answer:
[tex]y=-\,(x+1)^2+3[/tex]
Step-by-step explanation:
Notice that the vertex of the parabola is at (-1, 3), so we can start the expression of the quadratic in vertex form as:
[tex]y=a\,(x--1)^2+3\\y = a\,(x+1)^2+3[/tex]
we can now find the coefficient "a" by using another point the parabola goes through, like for example (0,2):
[tex]y = a\,(x+1)^2+3\\2=a\,(0+1)^2+3\\2=a+3\\a=2-3\\a=-1[/tex]
So the final expression for the parabola in vertex form is:
[tex]y=-\,(x+1)^2+3[/tex]
The graph of h(x) is shown below. Find h(-5) + h(5).
Answer:
9
Step-by-step explanation:
If you take a look at the graph, in order to find h(-5) you need to look at what the y intercept is when x=-5. In that case, when x = -5, y = 4 and so h(-5) = 4.
You do the same for h(5). Look at what y is when x equals 5. So h(5) = 5.
h(-5) + h(5) = (4) + (5) = 9
Answer:
9
Step-by-step explanation:
h(-5) is the y value when x = -5
h(-5) = 4
h(5) is the y value when x = 5
h(5) = 5
h(-5) + h(5) = 4+5 = 9
2) Jamie studies her Social Studies vocabulary for 30 minutes and studies 15
her Math problems for 15 minutes. After several days, she has studied her
Math problems for 60 minutes. How many minutes did Jamie study her
Social Studies vocabulary in the same time period?"
Your answer
This is a required question
Answer:
2 hours or 120 minutes
Step-by-step explanation:
So, let's assume that she studies the same amount each day. If she has studied math for a total of 60 minutes, she should have studied for 4 days because 60 (total) divided by 15(time each day) would equal to 4 (period of time). So we have to multiply 30 minutes by 4 (period) to get 120 minutes, which is 2 hours.
A faucet drips 2/5 gallon of water in 3 1/2 hours. What is the unit rate of water dripped per hour?
Answer: Unit rate = 4/35 of a gallon per hour
=============================================
Work Shown:
3 & 1/2 = 3 + 1/2
3 & 1/2 = 6/2 + 1/2
3 & 1/2 = (6+1)/2
3 & 1/2 = 7/2
The faucet drips 2/5 of a gallon in 7/2 hours
2/5 gallon : 7/2 hours
2*(2/5 gallon) : 2*(7/2 hours) ..... multiply both sides by 2
4/5 gallon : 7 hours
(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7
4/35 gallon : 1 hour
The unit rate is 4/35 of a gallon per hour.
"Per hour" means "every 1 hour".
Help the lab assistant complete the table. How many minutes did the object travel after 2.5 hours ?
Answer:
The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B =35.. a. Determine the pdf of X and sketch the corresponding density curve.
Step-by-step explanation:
I think :/
Answer:
150
Step-by-step explanation:
Hope this helped you!!
On February 1, the balance in your account is $516.81. On July 1, you deposit $310.90. Your bank pays 6.25% interest.
Answer: $879.44 is the answer i believe.
the martin family‘s truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.
Answer:
175
Step-by-step explanation:
7 times 25=175
1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?
Express as a ratio in the lowest term 1.360meter to 3 kilometers 2.2 minutes to 14 seconds
Answer:
1360322
Step-by-step explanation:
do ot nowwwwwwwww
help with this immediately
x= 2
Step-by-step explanation:
The answer for what does x= is,
x = 2
HELP ASFAP PLSSS 22points
Answer:
just guess
Step-by-step explanation:
dude believe in yourself
Answer:
7 5/6
Step-by-step explanation:
Trust Me Bro
A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.
Answer:
$930.76
Step-by-step explanation:
So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.
How centimetres in 1 meter
Answer:
there is 100 cm in a meter
Step-by-step explanation:
PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
try a none of them match because if you add 35 and 7 to each side none of them match up but the first is the closest
Celesta wants to go on a cruise in three years. She could earn 8.2 percent compounded monthly in an account if she were to deposit the money today. She needs to have $10,000 in three years. How much will she have to deposit today
Given:
Amount after three years = $10000
Rate of interest = 8.2 percent compounded monthly = 0.082
Time = 3 years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.
Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.
[tex]10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}[/tex]
[tex]10000=P\left(1+\dfrac{41}{6000}\right)^{36}[/tex]
[tex]10000=P\left(\dfrac{6041}{6000}\right)^{36}[/tex]
[tex]10000=P(1.27783)[/tex]
Divide both sides by 1.27783.
[tex]\dfrac{10000}{1.27783}=P[/tex]
[tex]7825.76712=P[/tex]
[tex]P\approx 7825.767[/tex]
Therefore, today she have to deposit $7825.767.
140,562 rounded to the nearest thousands
Answer:
It's 141,000
Step-by-step explanation:
because 4 or lower doesn't raise the rounding up it stay's the same if it is 4 or lower. But 5 or more raises it up so anything five or more you can round up. They taught me that in 4th grade but now i'm in 6th grade wich is so hard.
Write the product using exponents.
(-4).(-4).(-4).y.y
Answer:
(-4)^3 * y^2
Step-by-step explanation:
hope it helps.
Which equation represents a line which is parallel
to the line y
=
-2 +62
Circle the true number sentences and rewrite the false sentences to make
4= 4
5 + 1 = 6 + 1
3 + 2 = 5 + 0
6+2=4+4
3+3= 6 + 2
9 + 0 = 7 + 2
8-8 +0
6+3=5+4
3+3=6+2
The given statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Here,
1) 4=4
Statement is true.
2) 5+1=6+1
6≠7
Statement is not true.
3) 3+2=5+0
5=5
Statement is true.
4) 6+2=4+4
8=8
Statement is true.
5) 3+3=6+2
6≠8
Statement is not true.
6) 9+0=7+2
9=9
Statement is true.
7) 8-8=0
0=0
Statement is true.
8) 6+3=5+4
9=9
Statement is true.
9) 3+3=6+2
6≠8
Statement is not true.
Therefore, the statements 4=4, 3+2=5+0, 6+2=4+4, 9+0=7+2, 8-8=0 and 6+3=5+4 are the true.
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A janitor had 4/7 of a spray bottle of a cleaning solution. He used 1/8 of the solution in a day. How much of the bottle did he have?
HELPPPPPP (Worth 10 Points:) URGENTTTTT
DUE AT 10:39!!!!!!!!!!!1
Answer:
25/56
Step-by-step explanation:
First, find a common denominator. (in this case 56, multiply denominators)
4 x 8 32
7 x 8 56
1 x 7 7
8 x 7 56
now
32 7 25
----- - ----- = ------
56 56 56
Since this cannot be simplified, this is my answer.
The amount of solution Janitor has is [tex]\frac{1}{2}[/tex].
It is given that Janitor had 4/7 of a spray bottle of a cleaning solution out of which he used 1/8 of the solution in a day.
We have to find out that how much spray bottle he still have.
What will be the value , 2 times of 1/2 subtracted from 3 ?
The value will be 2.
Janitor had [tex]\frac{4}{7}[/tex] of spray bottle of a cleaning solution.
Amount of solution used by him in a day = [tex]\frac{1}{8}[/tex] of [tex]\frac{4}{7}[/tex]
= [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex]
The amount of spray bottle which he have now ;
= [tex]\frac{4}{7}[/tex] - [tex]\frac{1}{14}[/tex]
= [tex]\frac{8-1}{14}[/tex]
= [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex].
Thus , the amount of solution he has is [tex]\frac{1}{2}[/tex].
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g explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem.
Answer:
Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.
Step-by-step explanation:
Central theorem:
Once we take repeated samples from some kind of particular group, the central limit theorem shows us precisely whatever the form including its distribution implies. Accurately, the distributions of means determined via repeated measurements can reach normality as when the small samples get bigger.Statement:
If x would be any distribution of random sample 30 more wide with either a mean = [tex]\mu[/tex]
standard deviation = [tex]\sigma[/tex]
After which [tex]\bar{x}}[/tex] would have had a roughly normal distribution which
mean = [tex]\mu[/tex] and
default variance = [tex]\frac{\sigma}{\sqrt{n}}[/tex]
which is bigger, 3/5 or 0.625
Enter the equivalent distance in km in the box.
1 km = 1000 m
1 m = 100 cm
35,000 cm =
km
Answer:
0.350 km
Step-by-step explanation:
Hi there !
35000 cm = 35000/100 m = 350 m
350 m = 350/1000 km = 0.350 km
Good luck !
Look at the coordinate graph.
Which point has coordinates (5, 4)?
Which point has coordinates (-5, -4)?
Which point has coordinates (5, -4)?
Which point has coordinates (-5, 4)?
Answer:
B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)
Step-by-step explanation:
look at x axis first (horizontal), then y axis (vertical)
The coordinates of the points are:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)How to identify the points?Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.
With that in mind, we can see that:
Point A is at (-5, 4)Point B is at (5, 4)Point C is at (-5, -4)Point D is at (5, -4)Now, answering the questions:
Which point has coordinates (5, 4)?
Point B
Which point has coordinates (-5, -4)?
Point C
Which point has coordinates (5, -4)?
Point D
Which point has coordinates (-5, 4)?
Point A.
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A video game displays 96 frames in a four seconds on Penelope‘s computer. What is the rate in frames per second?
Answer:
24 frames per second
Step-by-step explanation:
The perimeter of a rectangle is 30cm. The length is 3cm more than twice the width. Find the LENGTH of the rectangle
Answer:
(2w+3)2+2w=30
4w+6+2w=30
6w=30-6=24
w=4
l=4(2)+3
l=11
The population of New Town is increasing by 6% a year.
If the population was 19613 on January 1st, 2000, what was it on January 1st, 2020?
Give your answer to the nearest 100 people.
Answer:
After population (A) = 62,902 (Approx)
Step-by-step explanation:
Given:
Current population (P) = 19613
Number of years (n) = 2020 - 2000 = 20 year
Rate of growth (r) = 6% = 0.06
Find:
After population (A)
Computation:
[tex]After\ population (A) = Current\ population (P)[1+r]^n \\\\After\ population (A) = 19613[1+0.06]^{20} \\\\After\ population (A) = 19613[1.06]^{20} \\\\After\ population (A) = 62,901.548[/tex]
please help meeeeeeeeeeeeee