Answer:
The length is 13, when the width is 11
Step-by-step explanation:
The width is x, when the length is x+2. The area is x(x+2)= x^2+2x.
The perimeter is (x+x+2)*2= (2x+2)*2=4x+4
THe thrre times perimeter is 3(4x+4)= 12x+12
x^2+2x= 12x+12-1
x^2+2x-12x-11=0
x^2-10x-11=0
x=-1 (not suitable); x=11 - the width
The length is 11+2=13
bananas cost $4 and apples close 0.60$ each if b represents the number of bunches of bananas and a represents the number of apple which of the following expressions represents the total cost? 1 4.60(b+a) 2 4b + 0.60 3 4.60 + a 4 4.60ab
Answer:
4b + .60a
Step-by-step explanation:
b represents the number of bunches of bananas
a represents the number of apple
Multiply the cost by the number purchased of each item and add them together
4b + .60a
Answer:
[tex]\huge\boxed{\$ (4 b + 0.60 a)}[/tex]
Step-by-step explanation:
Bananas represented by b
1 banana costs $4 so b bananas will cost $ 4 b
Apples represented by a
1 apples costs 0.60 $ so a apples will cost $ 0.60 a
Totally, they will cost:
=> $ (4 b + 0.60 a)
Credit card companies lose money on cardholders who fail to pay their minimum payments. They use a variety of methods to encourage their delinquent cardholders to pay their credit card balances, such as letters, phone calls and eventually the hiring of a collection agency. To justify the cost of using the collection agency, the agency must collect an average of at least $200 per customer. After a trial period during which the agency attempted to collect from a random sample of 100 delinquent cardholders, the 90% confidence interval on the mean collected amount was reported as ($190.25, $250.75). Given this, what recommendation(s) would you make to the credit card company about using the collection agency
Answer with explanation:
A x% confidence interval interprets that a person can be x% confident thatthe true mean lies in it.
Here, Credit card companies is using the collection agency to justify the cost of , the agency must collect an average of at least $200 per customer.
i.e. [tex]H_0:\mu \geq200,\ \ \ H_a:\mu<200[/tex]
The 90% confidence interval on the mean collected amount was reported as ($190.25, $250.75) .
I recommend that we can be 90% sure that the true mean collected amount lies in ($190.25, $250.75).
Also, $200 lies in it such that it is more far from $250.75 than $190.25, that means there are large chances of having an average is at least $200 per customer.
Suppose that one state’s license plates consist of 1 digit followed by 4 letters followed by 2 digits. How many such plates can the state issue?
Answer:
The state can issue 456,976,000 license plates.
Step-by-step explanation:
For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.
For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.
For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:
[tex]\frac{10}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{10}[/tex] [tex]\frac{10}[/tex]
= 10*26*26*26*26*10*10
=456,976,000.
Therefore, the state can issue 456,976,000 license plates.
URGENT At Garcia's Bike Rentals, it costs $ 36 to rent a bike for 9 hours. How many hours of bike use does a customer get per dollar?
Answer:
.25 hour / dollar
Step-by-step explanation:
We want hours per dollar
9 hours/ 36 dollars
1/4 hour / dollar
5 people cleared a plot of land in 15 days. How many people would I need to hire to clear three times that plot in 5 days?
Do not use spaces in your answer. Solve for x. -5x + 12x - 8x = -24 x = ___ a0
Answer:
[tex]\Huge \boxed{x=24}[/tex]
Step-by-step explanation:
[tex]-5x + 12x - 8x = -24[/tex]
Combine all like terms.
[tex](-5+ 12- 8)x = -24[/tex]
[tex]-x=-24[/tex]
Multiply both sides by -1.
[tex]x=24[/tex]
Answer:
x must be 24
Step-by-step explanation:
I assume you meant " -5x + 12x - 8x = -24
Combine the x terms on the left side, obtaining -x = -24.
Then x must be 24
Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is F. The sample size is n and the test statistic is t.
Answer:
P value = 0.1575
Step-by-step explanation:
Data provided in the question
t = 1.021
n = 33
[tex]\mu[/tex] = 98.6° F
Based on the above information, the P-value could be determined by using the excel spreadsheet i.e. shown in the attachment
So, the P value is 0.1575
The 1.021 denotes the test statistic
32 denotes degrees of freedom
And,
1 denotes one tailed alternative hypothesis.
- -
X+y=3 and x+y=-2 find the value of x and y
Answer:
no solutions.
Step-by-step explanation:
the given lines are parallel, then they can not have intersection points.
Brady buys a 1 1/2 pound package of pulled pork for $12.60. From the choices below, select the unit price of the pulled pork in the package per pound.
Answer:
Since you did not post the the choice I'll go with out them.
Step-by-step explanation:
$12.60 ÷ 1 1/2=
12.60 ÷ 1.5= $8.40
Answer:
$8.40/lb
Step-by-step explanation:
$12.60
The unit price is ------------ = $8.40/lb
1.5 lb
Suppose that 45% of people have dogs. If two people are randomly chosen, what is the probability that they both have a dog
Answer:
[tex]P(Dogs) = 0.2025[/tex]
Step-by-step explanation:
Given
[tex]Proportion, p = 45\%[/tex]
Required
Probability of two people having dog
First, we have to convert the given parameter to decimal
[tex]p = \frac{45}{100}[/tex]
[tex]p = 0.45[/tex]
Let P(Dogs) represent the required probability;
This is calculated as thus;
P(Dogs) = Probability of first person having a dog * Probability of second person having a dog
[tex]P(Dogs) = p * p[/tex]
[tex]P(Dogs) = 0.45 * 0.45[/tex]
[tex]P(Dogs) = 0.45^2[/tex]
[tex]P(Dogs) = 0.2025[/tex]
Hence, the probability of 2 people having a dog is [tex]P(Dogs) = 0.2025[/tex]
I want to know the distance
here's the answer to your question
a is less than or equal to 10
Lmk
Answer:
[tex]a \leqslant 10[/tex]
Step-by-step explanation:
a is less than or equal to 10
less than: <
equal: =
less than or equal to: ≤
Hope this helps ;) ❤❤❤
hope it helps you
imp=draw dark shaded point in thqt line and point towards left
A researcher surveys middle-school students on their study habits. She finds that in a random sample of 28 middle-school students, the mean amount of time that they spend working on the computer each night is 2.4 hours with a standard deviation of 0.92 hours. She uses the sample statistics to compute a 95% confidence interval for the population mean - the the mean amount of time that all middle-school students spend working on the computer each night. What is the margin of error for this confidence interval
Answer:
The margin of error is [tex]E = 1.96 * \frac{ 0.92}{\sqrt{28 } }[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 28[/tex]
The sample mean is [tex]\= x = 2.4 \ hr[/tex]
The standard deviation is [tex]\sigma = 0.92 \ hr[/tex]
Given that the confidence level is 95% the the level of significance can be evaluated as
[tex]\alpha = 100 -95[/tex]
[tex]\alpha = 5 \%[/tex]
[tex]\alpha = 0.05[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table,the value is [tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
substituting values
[tex]E = 1.96 * \frac{ 0.92}{\sqrt{28 } }[/tex]
[tex]E = 0.3408[/tex]
look at the image below
Answer:
117.8
Step-by-step explanation:
Surface area = πr²+πrl (whee r = radius and l = slant height)
= π×3²+π×3×9.5
= 75π/2
= 117.8
Write as an equation: The sum of a number and 12 is 78.
Answer:
x+12=78
Step-by-step explanation:
like that? x because its an unknown number but if you actually want to know the number just subtract 78-12 equals 66.
Answer:
n + 12 = 78
Step-by-step explanation:
Let n = number.
n + 12 = 78
Find the slope of the line tangent to the graph of x²+2xy² +3y=31 at the point (2, -3)
9514 1404 393
Answer:
22/21
Step-by-step explanation:
Taking the derivative, we have ...
2x·dx +2y²·dx +4xy·dy +3·dy = 0
dx(2x +2y²) +dy(4xy+3) = 0
At the given point, this is ...
dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0
22dx -21dy = 0
dy/dx = 22/21
The slope of the tangent at the point of interest is 22/21.
pls help! I need the answer quickly! thank you!
Answer:
B) 36
BA=CD
BA=9
AREA OF TRIANGLE ABC=1/2×b×h
63=1/2×b×9
126=b×9
b=14
BC=14
AD=BC
AE+ED=BC
AE=BC-ED
AE=14-6
AE=8
AREA OF TRIANGLE ACE= 1/2×AE×CD
= 1/2×8×9
=36
a golfer hits the golf ball. the quadratic y = -14x^2+84x gives the time x seconds when the golf ball is at height 0 feet. In total, how long is the golf ball in the air?
Answer: 6 seconds
Step-by-step explanation:
x refers to time. Since we want to know how long it is in the air, we need to find the time (x) when the ball lands on the ground (y = 0)
0 = -14x² + 84x
0 = -14x(x - 6)
0 = -14x 0 = x - 6
0 = x 6 = x
x = 0 seconds is when the ball was hit
x = 6 seconds is when the ball landed on the ground
Evaluate u + xy, if u = 18, x = 10, and y = 8.
Hi there!
[tex]\large\boxed{u + xy = 98}[/tex]
We can do substitution to solve.
We are given the values of all of the letters, so:
u = 18
x = 10
y = 8
Substitute:
(18) + (10)(8)
Use the order of operations:
18 + 80 = 98
Step-by-step explanation:
u + xy
make u = 18
x = 10
y = 8
18 + 10 × 8
18 + 80
= 98
I hope this answers your question
A B means:
A is an element of B
B is a subset of A
B is an element of B
A is a subset of B
none of the above
Answer:
A is a subset of B i believe that's the answer
Today only, a suit is being sold at a 26% discount. The sale price is $259.
What was the price yesterday?
Answer:
$350
Step-by-step explanation:
1. Set up the equation. The sale price of $259 is 74% of the original price.
[tex]\frac{74}{100}[/tex] = [tex]\frac{259}{x}[/tex]
2. Cross multiply
74x = 25900
3. Solve
x = 350
Determine whether the normal sampling distribution can be used. The claim is p < 0.015 and the sample size is n
Complete Question
Determine whether the normal sampling distribution can be used. The claim is p < 0.015 and the sample size is n=150
Answer:
Normal sampling distribution can not be used
Step-by-step explanation:
From the question we are told that
The null hypothesis is [tex]H_o : p = 0.015[/tex]
The alternative hypothesis is [tex]H_a : p < 0.015[/tex]
The sample size is n= 150
Generally in order to use normal sampling distribution
The value [tex]np \ge 5[/tex]
So
[tex]np = 0.015 * 150[/tex]
[tex]np = 2.25[/tex]
Given that [tex]np < 5[/tex] normal sampling distribution can not be used
Based on the normal sampling assumption, the product of the sample size and the proportion must be greater than or equal to 5. Hence, since, the condition isn't met, then the normal sampling cannot be used.
Given the Parameters :
Proportion, p = 0.015Sample size, n = 150Test if np ≥ 5 :
(150 × 0.015) = 2.252.25 < 5
Hence, np < 5 ;
Hence, the normal sampling distribution cannot be used.
Learn more : https://brainly.com/question/19338417
Su Jean is driving from phoenix to houston. A distance of 1185 miles. After driving for 4 hours she calculates that she has driven 237 miles. What portion of the distance does she have left to drive?
Answer:
4/5
Step-by-step explanation:
237/1185 = .2 = 1/5
meaning there's 4/5 left
QUESTION 6 . 1 POINT
$12,000 is invested at 6.8% compounded continuously. After how many years, to the nearest hundredth, will it be worth
$36,230?
Provide your answer holom
9514 1404 393
Answer:
16.25
Step-by-step explanation:
The value of principal P compounded continuously at annual rate r for t years is ...
A = Pe^(rt)
Then t is ...
t = ln(A/P)/r
t = ln(36230/12000)/0.068 ≈ 16.2497
The investment will be worth $36,230 after 16.25 years.
Subtract these polynomials.
(3x2 – 2x + 5) – (x2 + 3) =
Answer:
D. 2x^2 - 2x + 2
Step-by-step explanation:
(3x2 – 2x + 5) – (x2 + 3) add or subtract like terms
3x^2 - x^2 - 2x - 3 + 5 = 2x^2 - 2x + 2
Answer:
2x^2 - 2x + 2
Step-by-step explanation:
Ape-x
Which best describes the relationship between the lines with equations -36x + 8y = 16 and
-9x + 2y = 4?
Hi there! :)
Answer:
The lines are the same.
Step-by-step explanation:
Begin by converting each equation into its simplest form in slope-intercept form:
-36x + 8y = 16
Move the "x" variable to the right side of the equation:
8y = 36x + 16
Divide all terms by 8:
y = 36/8x + 16/8
y = 9/2x + 2
-------------------------------
-9x + 2y = 4
Move "x" variable:
2y = 9x + 4
Divide both sides by 2:
y = 9/2x + 2
Both of the equations are equivalent, meaning both of the lines are the same.
Solve this question:Зх <-24
Answer:
x< - 8
Step-by-step explanation:
3x <-24
x < - 24
3
x< - 8
x < - 8
Step-by-step explanation:
3x < - 24
Divide 3 on both sides,
3x / 3 < - 24 / 3
x < - 8
Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be used to simulate the random sampling of dentists who prefer this fluoride toothpaste?
A. none of these
B. Let “1,2,3” represent preferring the toothpaste and “0,4,5,6,7,8,9” represent not recommending the toothpaste.
C. Let “1,2,3” represent preferring the toothpaste and “4,5,6,7,8,9” represent not recommending the toothpaste.
D. Let “0,1,2” represent preferring the toothpaste and “3,4,5,6,7,8” represent not recommending the toothpaste.
Reset Selection
Answer:
b
Step-by-step explanation:
only b has 10 didgets. it could be a since the didgets aren't very random, but then again, i think it's b
Let favorable event“1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.
Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be used to simulate the random sampling of dentists who prefer this fluoride toothpaste to determine.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
While going throughout the option in options C and D number so the sample is not equal to 10 so both the statement is false. Option B is the correct option because the sample space is also equal to 10 and the number of the favorable events is also 3 which is mentioned in the question.
Thus, let favorable event “1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.
Learn more about probability here:
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Using the constant of proportionality, determine how much water will be in the bathtub after 2.5 minutes.
Answer:
[tex]\boxed{41.25}[/tex]
Step-by-step explanation:
Hey there!
Well we know the constant of proportionality is 16.5 because on the table it states 1 minute is 16.5 gallons.
So we can set up the following,
W = 2.5*16.5
W = 41.25
Hope this helps :)
Answer:
The amount of water in the bathtub after 1 minute is 16.5 gallons. So, the amount of water in the tub after 2.5 minutes of filling will be
2.5 minutes × 16.5 gallons per minute = 41.25 gallons.
There will be 41.25 gallons of water in the bathtub after 2.5 minutes.
Step-by-step explanation:
Help me I’m stuck please
Answer:
choice 1,2,4,5 from top to bottom
Step-by-step explanation:
1:the points given are in the line where both planes intersect
2:point H is not on any plane
3:in the diagram point F is on plane R so false
4:if you connect the points given they will intersect so not collinear
5:the points F and G are on the plane R
6:so F is on plane R but H is not on any do false