2.4^3 = 14.825
2.5^3 = 15.625
15 is in the middle of the two ranges
PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.
Answer:
No
Step-by-step explanation:
A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°how do I calculate y=3x - 2 without knowing thw value of x
Answer:
Step-by-step explanation:
easy
y=3x-2
-3x+y=-2
-3x=-2-y
x=2/3+1/3y
can you help me with this
aya has 14 2/5 feet of chain. She wants to make pieces foot long math. How many can she make? b Solve the problem using decimals
Aya can make 14 mats of 1 foot long.
What is division?Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"
Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.
Let can make x mats out of the given chain, since each mat is 1 foot long, so,
1×x = 14\(\frac{2}{5}\)
x = 72/5
x = 14.4
x ≈ 14
Hence, She can make 14 mats out of the given chain.
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If p=180−0.2D, calculate the optimal profit if the total cost is $30,500.
To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.
To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:
Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).
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Simplify the following
(xy)^4
Answer:
\(x^{4} y^{4}\)
(or)
x^4y^4
Please see the image. Assist quickly please, thanks!
Answer:
Point A' should be 2 units left and 8 units above of Point C.
Point B' should be 10 units right and above Point C.
Point C stays the same.
The e of the function f(x) = e* has a value of:
a
3.14
2.718
1.98
None of these choices are correct.
Answer: 2.718
Step-by-step explanation:
You don’t need the star there but it is Euchre’s number when you look it up it is 2.718
what is the distance between points -3,6 and 12, 6
Answer:
15 units
Step-by-step explanation:
hope i helped!
Each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?
Those who did not respond reduced the sample size, and small samples have more bias than large samples.
Those who did not respond may differ in some important way from those who did respond.
Those who did not respond caused a violation of the assumption of independence.
Those who did not respond are indistinguishable from those who did not receive the survey.
Those who did not respond represent a stratum, changing the random sample into a stratified random sample.
The nonresponse caused the results of the survey to be biased as C. Those who did not respond caused a violation of the assumption of independence.
How to illustrate the sampling?It should be noted that each person in a simple random sample of 1,200 received a survey, and 325 people returned their survey. How could nonresponse cause the results of the survey to be biased?
In this case, the nonresponse caused rhe results of the survey to be biased as those who did not respond caused a violation of the assumption of independence. Those who did not respond may differ in some important way from those who did respond
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write an expression equivalent to -4(x+3)-12x+5 that only has two terms
Answer:
-16x-7
Step-by-step explanation:
you distribute the -4, then combine like terms, that is about it, here is a picture of everything i did
Write 3 quadratic equations that are NOT
equivalent, each forming a graph with vertex (-2, 3)
Answer:
the vertex of a quadratic equation:
a*x^2 + b*x + c = y
Is located at:
x = -b/2a.
In this case, x = -2
Then:
-b/2a = -2.
And we also have that:
a*(-2)^2 + b*-2 + c = 3
Then we have two equations:
-b/2a = -2
a*(-2)^2 + b*-2 + c = 3
We have only 2 equations and 3 variables, so we can just give the variable c different values and we will find different quadratic equations that are not equivalent.
Let's begin with c = 0, our equations are:
-b/2a = -2
a*(-2)^2 + b*-2 + 0 = 3
In the first equation we can isolate b and get:
b = 4*a
Now we can replace this in the other equation and solve this for a.
a*4 + 4*a*-2 = 3
-4*a = 3
a = -3/4
then:
b = 4*a = 4*-3/4 = -3
The first quadratic equation is:
(-3/4)*x^2 - 3*x = y.
Now, to find the second let's use a different value of c.
c = 1
b = 4*a
a*(-2)^2 + b*-2 + 1 = 3
Let's solve in the same way as before:
a*4 + (4*a)*-2 + 1 = 3
-4*a = 2
a = 2/-4 = -1/2
b = 4*-1/2 = -2.
Then our equation is:
(-1/2)*x^2 - 2*x + 1 = y
For the last equation, let's use c = 2.
then our equations are:
b = 4*a
a*(-2)^2 + b*-2 + 2 = 3
Same as before, replace the first equation in the second.
a*4 + (4*a)*-2 + 2 = 3
-4*a + 2 = 3
-4*a = 1
a = -1/4
Then:
b = 4*(-1/4) = -1
Our third equation is:
(-1/4)*x^2 - 1*x + 2 = y
Now, below you can see all of them graphed.
Where red is the first one, blue the second and green the third one. (and as you can see, all of them share the vertex (-2,3) )
if the minimum amount of weight you could add to a 10 pound backpack someone was wearing (with them noticing) was 1 pound, how much would have to be added to a 100 pound backpack for them to notice?
Answer:
10 pounds
Step-by-step explanation:
given ratio weight:added weight=10:1
100:x=10:1
100/x=10/1
solving for x
100=10x
x=10
An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 653.5 vehicles per hour, with a standard deviation of 311.7 vehicles per hour.1. Find a 95% confidence interval for the improvement in traffic flow due to the new system. Round the answers to three decimal places.2. Find a 98% confidence interval for the improvement in traffic flow due to the new system. Round the answers to three decimal places.3. Approximately what sample size is needed so that a 95% confidence interval will specify the mean to within ±55 vehicles per hour? Round the answer to the next integer.4. Approximately what sample size is needed so that a 98% confidence interval will specify the mean to within ±55 vehicles per hour? Round the answer to the next integer.
1. The 95% confidence interval is between 567.07 and 739.93 vehicles per hour
2. The 98% confidence interval is between 547.47 and 759.53 vehicles per hour
3. The sample size needed for a 95% confidence interval to specify the mean to within ±55 vehicles per hour is 121
4. The sample size needed for a 98% confidence interval to specify the mean to within ±55 vehicles per hour is 187
1. To find the 95% confidence interval, we use the formula:
Mean improvement +/- (t-value * standard error)
where t-value for 49 degrees of freedom at 95% confidence level is 2.009.
The standard error can be found by dividing the standard deviation by the square root of the sample size:
Standard error = 311.7 / sqrt(50) = 44.06
So the 95% confidence interval is:
653.5 +/- (2.009 * 44.06) = (567.07, 739.93)
Therefore, we can say with 95% confidence that the true mean improvement in traffic flow is between 567.07 and 739.93 vehicles per hour.
2. To find the 98% confidence interval, we use the same formula but with a different t-value. For 49 degrees of freedom at 98% confidence level, the t-value is 2.678.
The 98% confidence interval is:
653.5 +/- (2.678 * 44.06) = (547.47, 759.53)
Therefore, we can say with 98% confidence that the true mean improvement in traffic flow is between 547.47 and 759.53 vehicles per hour.
3. To find the sample size needed for a 95% confidence interval to specify the mean to within ±55 vehicles per hour, we use the formula:
n = \((z * s / E)^2\)
where z is the z-value for 95% confidence level (1.96), s is the standard deviation (311.7), and E is the margin of error (55).
Plugging in the values, we get:
n = \((1.96 * 311.7 / 55)^2\) = 120.25
Rounding up, we need a sample size of 121 to achieve a 95% confidence interval with a margin of error of ±55 vehicles per hour.
4. To find the sample size needed for a 98% confidence interval to specify the mean to within ±55 vehicles per hour, we use the same formula but with a different z-value. For 98% confidence level, the z-value is 2.33.
Plugging in the values, we get:
n = \((2.33 * 311.7 / 55)^2\) = 186.34
Rounding up, we need a sample size of 187 to achieve a 98% confidence interval with a margin of error of ±55 vehicles per hour.
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A sorority was purchasing 5 dozens of specially designed t-shirts to sell members through internet. T-shirts were:
A sorority was purchasing 5 dozens of specially designed t-shirts to sell members through internet. The goods or T-shirts were business products.
Business products refer to goods or services that are purchased by businesses or organizations to be used in the production of other goods or services. These products are also known as B2B (business-to-business) products, as they are sold to other businesses rather than to consumers.
In the context of the sorority purchasing t-shirts, it is possible that they may be considered a business product if the sorority plans to resell the t-shirts to members for a profit.
Thus, the answer is business products.
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what is the answer of 12p + P
Answer:
13p
Step-by-step explanation:
because the P it have 1 hidden there
12p + 1p = 13p
Please help me with this on the image
Step-by-step explanation:
The total of the number of computers he sold in 2015 is 67.
The total of the number of computers he sold in 2016 is 61.
The total of the number of computers he sold in 2017 is 71.
He sold 35 computers in Quarter 1, 24 in Quarter 2, 61 in Quarter 3, and 79 in Quarter 4.
He sold the most computers in 2017 and the least in Quarter 2.
Therefore, to find the total number of computers he sold all time, we add 67, 61, and 71 together to get 199.
Hope this helped!
Answer with Step-by-step explanation:
From the given table
(a)
In quarter 1
Computer sold in 2015=12
Computer sold in 2016=15
Computer sold in 2017=8
Total computer sold in quarter 1=12+15+8=35
In quarter 2
Computer sold in 2015=9
Computer sold in 2016=10
Computer sold in 2017=5
Total computer sold in quarter 2=9+10+5=24
In quarter 3
Computer sold in 2015=21
Computer sold in 2016=17
Computer sold in 2017=23
Total computer sold in quarter 3=21+17+23=61
In quarter 4
Computer sold in 2015=25
Computer sold in 2016=19
Computer sold in 2017=35
Total computer sold in quarter 4=25+19+35=79
In 2015
Total number of computer sold=12+9+21+25=67
In 2016
Total number of computer sold=15+10+17+19=61
In 2017
Total number of computer sold=8+5+23+35=71
(b)He sold the most computers in 2017
(c) He sold the least computers in quarter 2.
Share 55 mangoes, in the ratio 4:7
the answer is....
eat my ahhh oStep-by-step explanation:
In this polygon, all angles are right angles What is the area of this polygon?
Answer:
428 square ft
Step-by-step explanation:
to do this you can break the shape up into multiple pieces
you can do it this way
the top left part of the polygon could be one shape
9 by 10
this is because if the left side is 23 and part of the left side is 13 the leftover part is 10
then the bottom is 13 by 26
then you multiply and add them together
(9 * 10) + (13 * 26) = 90 + 338
then you add
90 + 338 = 428
the answer is 428 square ft
I NEED HELP!!!Please
Answer:
15.9
Step-by-step explanation:
O/A
Tan47=17/x
x=17/tan 47
Which angles are complementary to each other?
Answer:
<1 and <2
Step-by-step explanation:
Complementary angles are two angles which their measure add up to 90 degrees.
There are only one angle pair that meet this requirement:
angle 2 and angle 1
11. a. A cylindrical keg is full of molasses. If the keg is full, find the work needed to pump all of the molasses out of the can through the spigot. The spigot is \( 1 \mathrm{ft} \). high. The densi
The work needed to pump all of the molasses out of the keg through the spigot is 8000π lbs-ft.
To find the work needed to pump all the molasses out of the keg, we need to calculate the weight of the molasses and then multiply it by the height it needs to be lifted.
First, let's calculate the volume of the molasses in the keg:
Volume = π × radius² × height
= π × (2 ft)² × 5 ft
= 20π ft³
Since the density of molasses is given as 100 lbs/ft³, we can find the weight of the molasses:
Weight = Volume × Density
= 20π ft³ × 100 lbs/ft³
= 2000π lbs
Now, the work done to lift the molasses is equal to the weight multiplied by the vertical distance it is lifted.
In this case, the vertical distance is the height of the keg minus the height of the spigot:
Work = Weight × (Height - Spigot Height)
= 2000π lbs × (5 ft - 1 ft)
= 8000π lbs-ft
Therefore, the work needed to pump all of the molasses out of the keg through the spigot is 8000π lbs-ft.
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solve the equation 4x + 6 = 4 + 2(2x + 1). Which choice describes the meaning of his result, 6 = 6?
Answer:
the equation is true
Step-by-step explanation:
solve the equation 4x + 6 = 4 + 2(2x + 1). Which choice describes the meaning of his result, 6 = 6?
4x + 6 = 4 + 2(2x + 1)
4x + 6 = 4 + 4x + 2
6 = 4 + 2
6 = 6
the equation is trueSimplify the expression 7(9 + k).
Answer:
The answer is 63+7k. :))
Answer:
7k+63
Step-by-step explanation:
Distribute the 7 into the expression 9+k
so 7*9=63
and 7*k=7K
which of the following conclusions is appropriate at a 5% level of significance? check all that apply.group of answer choicesimipramine is more effective because the mean time to recurrence of depression symptoms is longer for those taking imipramine.the differences observed in sample means do not provide strong evidence of a difference in mean recurrence time for the three treatment types in the population.there are statistically significant differences in mean time to recurrence of depression symptoms for patients in the three treatment groups. this suggests that there is a treatment effect.for the population of depressed people who take lithium or imipramine or who do not receive treatment, the mean time it takes for depression to reoccur differs.no conclusion is possible because conditions for use of the anova f-test are not met.
The conclusion that is appropriate at a 5% level of significance is this:C. There are statistically significant differences in the mean time to recurrence of depression symptoms for patients in the three treatment groups. this suggests that there is a treatment effect.
What is the correct conclusion?The correct conclusion is that the result obtained from the analysis is statistically significant, so the null hypothesis can be rejected. This also means that there are 1 in 20 chances of obtaining an error.
So, for a study checking the relationship between the mean time to recurrence of depression symptoms, the 5% level of significance would demonstrate a relationship.
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Write the explicit formula for the given arithmetic sequence in explicit form: a(n)=a(1)+d(n-1)
What would you use for the least common denominator? Simplify first.
Revision 1. Find the value of the variable that makes these number sentences true: a) h+8=19 b) 2p-6=4 c) y = 12 2. Substitute the value for x in order to find the value of y in the following: a) y=3x+2 ifx=8 b) y=4x-1 ifx=! c) y=0,2x+5 ifx=10 d) y = 10x+12 if x=0,3 3. Write the following as number sentences: a) The difference between two numbers is 25 b) The product of 5 and p is equal to the quotient of q and 2 c) The difference between 14 and 2y is equal to 6 d) The product of 15 and 4 is equal to four less than the sum of x and y. that represent these word problems.
1. The values which the given number sentences true are:
a) 11 b) 5 c) 36
2. After substituting the value of x we get the value for y as :
a) 6 b) 0 c) 7 d) 15
3. The number sentences are :
a) x ₋ y = 25
b) 5 × p = q ÷ 2
c) 2y ₋ 14 = 6
d) 15 × 4 = 4 ₋ (x₊y)
Given in the first bit we need to find the variables:
a) h ₊ 8 = 19
arrange the constants on one side.
h = 19 ₋ 8
h = 11
b) 2p ₋ 6 = 4
arrange the constants on one side.
2p = 4 ₊ 6
2p = 10
p = 10/2
p = 5
c) 1/3 y = 12
cross multiply.
y = 36
Now in the second exercise we are asked to substitute the x value and get the value of y.
a) y = 3x ₊ 2 if x =8
substitute x value in the equation.
y = 3(8) ₊ 2
y = 24 ₊ 2
y = 26
b) y = 4x ₋ 1 if x = 1/4
y = 4(1/4) ₋ 1
y = 1 ₋ 1
y = 0
c) y = 0.2x ₊ 5 if x = 10
y = 0.2(10) ₊ 5
y = 2 ₊ 5
y = 7
d) y = 10x ₊ 12 if x = 0.3
y = 10(0.3) ₊ 12
y = 3 ₊ 12
y = 15
In the last third bit we need to frame equations for the given word problems.
a) The difference between two numbers is 25.
let the two numbers be x and y.
x ₋ y = 25.
b) The product of 5 and p is equal to quotient of q and 2.
5 × p = q ÷ 2
c) The difference between 14 and 2y is equal to 6.
2y ₋ 14 = 6
d) The product of 15 and 4 is equal to four less than the sum of x and y.
15 × 4 = 4 ₋ (x₊y)
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Transcribed image text: T8.7 A marketing assistant for a technology firm plans to randomly select 1000 customers to estimate the pro- portion who are satisfied with the firm's performance. Based on the results of the survey, the assistant will construct a 95% confidence interval for the propor- tion of all customers who are satisfied. The market- ing manager, however, says that the firm can afford to survey only 250 customers. How will this decrease in sample size affect the margin of error? (a) The margin of error will be about 4 times larger. (b) The margin of error will be about 2 times larger. (c) The margin of error will be about the same size. (d) The margin of error will be about half as large. (e) The margin of error will be about one-fourth as large. T8.8 Thirty-five people from a random sample of 125 work- ers from Company A admitted to using sick leave when they weren't really ill. Seventeen employees
The answer is (b) The margin of error will be about 2 times larger.
The margin of error in a confidence interval is affected by the sample size, so decreasing the sample size will generally increase the margin of error. Specifically, the margin of error is inversely proportional to the square root of the sample size.
That is, if we reduce the sample size by a factor of k, then the margin of error will increase by a factor of sqrt(k).
In this case, the original sample size was 1000, and the proposed sample size is 250, which is 1/4 of the original size. Therefore, the margin of error for the smaller sample will be:
sqrt(1000/250) times the original margin of error.
Simplifying this expression, we get:
sqrt(4) times the original margin of error.
So the margin of error for the smaller sample will be about 2 times the original margin of error.
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together, katya and mimi have 480 pennies in their piggy banks. after katya loses 1/2 and mimi losses 2/3of her pennies, they have an equal number of pennies left. how many pennies did they lose altogether?
The number of pennies they lose altogether is 288 pennies.
How to find the number of pennies they lost together?
Together, Katya and Mimi have 480 pennies in their piggy banks.
Therefore, there total amount of pennies is 480.
After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.
Therefore,
let
x = number of pennies Katya have
y = number of pennies Mimi have
Hence,
x + y = 480
x = 480
Katya pennies left = x - 1 / 2x = 1 / 2x
Mimi pennies left = y - 2 / 3 y = 1 / 3 y
1 / 2 x = 1 / 3 y
2y = 3x
y = 3 / 2 x
Substitute the value in equation(i)
x + 3 / 2 x = 480
2.5x = 480
x = 480 / 2.5
x = 192
Therefore,
192 + y = 480
y = 480 - 192
y = 288
The number of pennies they lose can be calculated as follows;
Katya losses = 1 / 2 × 192 = 96
Mimi losses = 2 / 3 × 288 = 192
Therefore, they lost 96 + 192 = 288 pennies altogether.
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