Answer:
4 & 7 are the correct answers for this equation.
3 metres of material costs £1.56
work ot the cost of 5 metres of material
If Connor is paid £54 for 8 hours in a supermarket, the cost for 10 hours in the supermarket is
£67.5How to find the cost for 10 ours in the supermarketThe cost per unit of an item is represented by the unit price.
To determine the unit price of an item, we divide the price of a specific number of units by the number of units. In this case the number of item is is measured in time hence we use unit rate
If Connor is paid £54 for 8 hours in a supermarket, this means that the unit rate will be
= 54 / 8
= 6.75
the cost for 10 hours in the supermarket
= 6.75 * 10
= £67.5
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find a formula for a function that has vertical asymptotes x = 5 and x = 8 and horizontal asymptote y = 5.
The formula for a function that has vertical asymptotes is x=5 and x=8 and horizontal asymptote y=5 is f(x)=(5x²)/(x²-13x+40)
In order to find a function that fits the criteria given, you need to know how to find the asymptotes in the first place.
Vertical Asymptotes: we set the denominator equal to 0 and solve for x
Horizontal Asymptotes: we compare the degree of the numerator and denominator; if the degrees are equal, the HA equals the ratio of the leading coefficients, which is the case for this question
For the vertical asymptotes, if x = 8 and x = 5, then we can write the factors as (x - 8) and (x - 5).
For the horizontal asymptotes, if y = 5, the degree of the numerator and denominator are equal so the ratio of the leading coefficients must be 5/1.
f(x) = (5x²) / [(x-8)(x-5)] which can be rewritten as f(x) = (5x²) / (x2-13x+40)
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Quantitative noninvasive techniques are needed for routinely assessing symptoms of peripheral neuropathies, such as carpal tunnel syndrome (CTS). The article "A Gap Detection Tactility Test for Sensory Deficits Associated with Carpal Tunnel Syndrome" (Ergonomics, 1995: 2588–2601) reported on a test that involved sensing a tiny gap in an otherwise smooth surface by probing with a finger; this functionally resembles many work-related tactile activities, such as detecting scratches or surface defects. When finger probing was not allowed, the sample average gap detection threshold for m = 8 normal subjects was 1.71 mm, and the sample standard deviation was .53; for n = 10 CTS subjects, the sample mean and sample standard deviation were 2.53 and .87, respectively. Does this data suggest that the true average gap detection threshold for CTS subjects exceeds that for normal subjects? State and test the relevant hypotheses using a significance level of .01.
The data suggests that the true average gap detection threshold for CTS subjects is higher than that of normal subjects.
The study compared the gap detection thresholds of normal subjects and CTS subjects to determine if there is a significant difference between the two groups. The sample mean gap detection threshold for the CTS group was higher than that of the normal group, but the question is whether this difference is statistically significant. A hypothesis test was conducted with a significance level of .01 to answer this question.
The null hypothesis states that the true average gap detection threshold for CTS subjects is not significantly different from that of normal subjects. The alternative hypothesis states that the true average gap detection threshold for CTS subjects exceeds that of normal subjects. Using a two-sample t-test with unequal variances, the calculated t-value is 3.45, which exceeds the critical value of 2.92 for a significance level of .01 with 16 degrees of freedom. Therefore, we reject the null hypothesis and conclude that there is a significant difference between the true average gap detection thresholds of normal subjects and CTS subjects. Specifically, the data suggests that the true average gap detection threshold for CTS subjects is higher than that of normal subjects.
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How many solutions does this system have? x-y=-4 3x+y=8 one two an infinite number no solution
Answer:
work is shown and pictured
HURRY HELP ME PLEASE PLEASE PLEASE PLEASE HURRY
Question 26 OT 40
What is the solution to the inequality below?
X < 6
A. x < 36 and x > 0
B. x< 36 or x> -36
C. x < 36 and x > -36
D. x< 36 or x 20
SUBMIT
Find the exact value of each expression, if it is defined. Express your answer in radians. (If an answer is undefined, enter UNDEFINED.)
(a) sin (3)
(b) cos-4 - )
(C) tan (- 15).
a) The exact value of sin 3 in radians is 0.05233.
b) The exact value of cos-4 cannot be found.
c) The exact value of tan (-15) in radians is -sqrt(6) + sqrt(2).
(a) sin (3) :
Exact value of sin 3 in radians: We know that sin 3 is a value of a trigonometric function. We can find the exact value of sin 3 with the help of a trigonometric circle.
To calculate sin 3, we will divide the length of the opposite side of the triangle by the length of the hypotenuse. sin (3) = Opposite side / Hypotenuse = 0.05233
(b) cos-4
The value of cos-4 cannot be calculated without context. If -4 is the power of cosine function, then it can be calculated, and if -4 is the inverse of cosine function, then we need to be given an angle.
Hence, the exact value of cos-4 cannot be found with the given information.
(C) tan (- 15):
We know that: tan (- 15) = -tan 15
We can calculate tan 15 as we know that sin 15 = (sqrt(6) - sqrt(2))/4 and cos 15 = (sqrt(6) + sqrt(2))/4.
Then, tan 15 = sin 15/cos 15
Therefore, tan (- 15) = -tan 15 = -(sin 15/cos 15)
= -(sqrt(6) - sqrt(2))/(sqrt(6) + sqrt(2))
= -sqrt(6) + sqrt(2)
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mother divided the money among jan, jane and jello , in the ratio 4:9:6. If Jan got $200, find the total amount and money received by jane and jello
Step-by-step explanation:
Let,
Money received by Jan = 4xMoney received by Jane = 9xMoney received by Jello = 6xAccording to the question,
→ Money received by Jan = $200
→ 4x = $200
→ x = $200 ÷ 4
→ x = 50 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀… ( 1 )
Now,
→ Money received by Jane = 9x
→ Money received by Jane = 9($50)
→ Money received by Jane = $450 [Ans]
And,
→ Money received by Jello = 6x
→ Money received by Jello = 6($50)
→ Money received by Jello = $300 [Ans]
Evaluate each expression for x=-2,0,1 , and 4.
(1/2)x-8
The value for x = -2,0,1 , and 4 will be -9, -8, -15/2 and -6 respectively.
For x = -2
The value will be -
(1/2)x-8
(1/2)(-2) - 8
= -9
For x = 0
The value will be -
(1/2)x - 8
(1/2)(0) - 8
= -8
For x = 1
The value will be -
1/2(1) - 8
= -15/2
For x = 4
The value will be -
1/2(4) - 8
= -6
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Help!! Is there any way I could calculate this on a graphing calculator or do I have to do it by hand?
Answer:
you can graph the points. i recommend using Desmos
Step-by-step explanation:
As for the line of best fit you can use snaggit or snipping tool and both can help with the graph.
for the residual, you need to calculate the actual value minus the predicted value.
you should be given a formula in your problem.... that is for the predicted value.
Hope this helps!!
Answer:
go ahead and graph the points
Many college graduates who are employed full-time have longer than -hour work weeks. Suppose that we wish to estimate the mean number of hours, , worked per week by college graduates employed full-time. We'll choose a random sample of college graduates employed full-time and use the mean of this sample to estimate . Assuming that the standard deviation of the number of hours worked by college graduates is hours per week, what is the minimum sample size needed in order for us to be confident that our estimate is within hours per week of
To determine the minimum sample size needed to estimate the mean number of hours worked per week by college graduates employed full-time, while ensuring that our estimate is within a certain margin of error.
We can use the formula for sample size calculation.
The formula is:
\(n = (Z * σ / E) ^ 2\)
Where:
n = minimum sample size needed
Z = Z-score corresponding to the desired confidence level (e.g., for 95% confidence level, Z ≈ 1.96)
σ = standard deviation of the population (given as hours per week)
E = maximum margin of error (given as hours per week)
Plugging in the given values, let's say we want the estimate to be within 2 hours per week:
\(n = (1.96 * σ/ 2) ^ 2\)
Since the standard deviation (σ) is not given in the question, we cannot calculate the exact sample size.
However, once the value of σ is known, you can substitute it into the equation to find the minimum sample size needed for your desired margin of error.
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The table shows the amount of snow, in cm, that fell each day for 30 days. Amount of snow (s cm) Frequency 0 s < 10 8 10 s < 20 10 20 s < 30 7 30 s < 40 2 40 s < 50 3 Work out an estimate for the mean amount of snow per day
The mean amount of snow per day is equal to 19 cm snow per day.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
For the total amount of snow based on the frequency, we have;
Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)
Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135
Total amount of snow (s cm), F(x) = 570
Now, we can calculate the mean amount of snow as follows;
Mean = 570/30
Mean = 19 cm snow per day.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Select the correct answer from each drop-down menu. Simplify. the square root of 64. I don't understand square root so if anyone could tell me how to do square root that would help.
Hey there! I'm happy to help!
Squaring a number is when you multiply it by itself. You represent this with an exponent, which is a little number above the number that you multiply by itself. When you square a number, this exponent is two.
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
The square root is basically just doing this backwards. It is finding the number that can be multiplied by itself to equal that number. You represent this with the √ symbol.
√1=1
√4=2
√9=3
√16=4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
We know that 8 multiplied by itself is equal to 64. This means that the square root of 64 is 8.
I hope that this helps you out! Have a wonderful day! :D
Please help asap I’ll give Brainly to whoever gets it right.
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
not merely a cluster of random elements, a narrative presents an ordered series of events connected by the logic of
Not merely a cluster of random elements, a narrative presents an ordered series of events connected by the logic of cause and effect.
What is a narrative?A narrative depicts an ordered set of events linked by the logic of cause and effect, not just a collection of random pieces. In tales, the sequence of events is linear, making it evident to the viewer the motivation behind and effects of character behavior.
The sequence of events in a story is referred to as the story. Simply put, sequencing a story is determining the beginning, middle, and end of the story as a first step toward retelling the events in a logical order.
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which expression is equivalent to 1/2r + 8p - 3/4r -2p
A. 1/4r -6p
B. 1/4r +10p
C. 1/4r + 10p
D. 5/4r + 6p
Answer:
D.5/4r+6p
Step-by-step explanation:
hula kong hahha
John thinks of a number.
He adds 15 to his number then multiplies by 2. His answer is 32.
What was his number?
Need help again :/
Answer:
1
Step-by-step explanation:
We do the inverse of everything he has done
He multiplied by 2 so we divide
32 ÷ 2 = 16
He adds 15 so we subtract
16 - 15 = 1
To Check
1 + 15 = 16
16 x 2 = 32
A man makes a profit of 15%6y selling an article for Rs 2500. For what price should he sellituto make a profit of 38%
Find the price before the 15% profit:
2500 / 1.15 = 2173.91
Now multiply the original cost by 1 + 38%:
2173.91 x 1.38 = 2999.99
Answer: 2.999.99 ( may need to round to 3,000)
Analyze the biconditional statement below and complete the instructions that follow.
A polygon is a hexagon if and only if it has six sides.
Write a definition based on the given biconditional.
A.
A polygon has six sides if and only if it is a hexagon.
B.
A polygon is a hexagon with six sides.
C.
A hexagon is a polygon with six sides.
D.
If a polygon is a hexagon, then it has six sides.
The definition based on the given biconditional is B. A polygon is a hexagon with six sides.
What is a biconditional statement?A conditional statement combined with its opposite is known as a biconditional statement. As a result, one conditional is only true if and when the other is also true. It frequently employs the phrase "if and only if" or the abbreviation "if." It serves as a reminder that the conditional must be true in both directions by using the double arrow.
The biconditional statement is that the polygon is a hexagon if and only if it has six sides.
Therefore, the correct option that illustrates this is B.
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You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $60 per hour. Great Sounds Studio rents for $25 plus $80 per hour. Determine the number of hours for which the cost of 1 Step renting the studios is the same. Work needs to be showed btw
The solution is found by slope of the graph and the solution is 2,200.
Let x the amount of money per hour and y the total amount of money.
Studio A:-
Rents for 100 dollars plus 50 dollars per hour.
\(y= 100 + 50x\)
So the slope is 50 and the y intercept is 100.
Studio B:-
rents for 50 dollars plus 75 dollars per hour.
\(y= 50 + 75x\)
So the slope is 75 and the y intercept is 50.
ThrTh solution is 2200 , see the gragraphph.
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Complete question:- You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $50 per hour. Great Sounds Studio rents for $50 plus $75 per hour. Solve the system by graphic method.
Triangle BCD, with vertices B(4,-7), C(6,-8), and D(7,-2), is drawn on the coordinate
grid below.
S
Answer: A =
6
7
D
9
What is the area, in square units, of triangle BCD?
units
Submit Answer
K
Answer: The area is 6.5
hlp me hlp me hlp me hlp me
The unit rate would be points per game.
To find the points per game, divide both numbers by 6:
288/6 = 48
the unit rate would be 48 points / 1 game.
The answer is the first choice.
Answer:
\(\frac{288 points}{6 games}\) ÷ \(\frac{6}{6} =\frac{48 points}{1 game}\) or the 1st option
Step-by-step explanation:
\(\frac{288 points}{6 games}\) ÷ \(\frac{6}{6} =\frac{48 points}{1 game}\)
We get this answer because to find the unit rate, we need to get however many points over one game.
Select the correct answer.
Select the simplification that accurately explains the following statement.
3/7 = 73
O A.
100
B.
3
(71)² = 73.71.7371-1-1 = 78 = 7² = 7
(71)² = 78.73.7} = 7.73 = 3-1-7=1-7=7
3
C.
(7³)³ = 7³. 7³. 73 = 73 + } + ³ = 7³ = 7¹ = 7
D. (73)³ = 7³. 73. 73 = 7 · (++) = 7 ⋅ = 7 · 1 = 7
The simplification that represents ∛7=\(7^{1/3}\) is \((7^{1/3} )^{3} =7^{1/3} .7^{1/3} .7^{1/3} =7^{1/3+1/3+1/3} =7^{1}=7\)
How to simplify an expression?The simplification that accurately explains the statement ∛7 = \(7^{1/3}\) is as follows;
Therefore, the simplification is as follows
\((7^{1/3} )^{3} =7^{1/3} .7^{1/3} .7^{1/3} =7^{1/3+1/3+1/3} =7^{1}=7\)
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Liam is designing a patio and fountain for his backyard. The fountain will cover 50 square feet. The remaining space will be cover with tiles If one tile covers 2.25 square feet, how many tiles will Liam need?
Answer:41 tiles
Step-by-step explanation: this is assumption from other work of the 10x14.225 picture
Carter wants to know if warming up will help runners sprint faster. Thirty track and field athletes volunteered to participate in his study. He randomly assigns 15 athletes to warm-up for 10 minutes. All 30 participants sprint the same distance. He calculates the mean for each group and determines that the mean for the warm-up group was 10.7 seconds, and the mean for the other group was 13.2 seconds. To test the difference of means he re-randomized the data 54 times, and the differences are plotted in the dot plot below. What can Carter conclude from his study?
Answer:
The difference throughout the means isn't significant because a difference of 2.5 isn't very likely. A further explanation is provided below.
Step-by-step explanation:
Given:
The mean time of warm up group,
= 13.2
The mean time of non warm up group,
= 10.7
Now,
The mean difference will be:
= \(The \ mean \ time \ of \ warm \ up \ group - The \ mean \ time \ of \ non \ warm \ up \ group\)
By substituting the values, we get
= \(13.2-10.7\)
= \(2.5\)
Thus the above is the appropriate response.
Answer:
C. The difference in the means is significant because a difference of 2.5 is not very likely.
Flvs mod 8 pt.1 100%
The height of an object at any time can be found with the polynomial - 16t ^ 2 + 550 where t is the time in seconds. How high is the object after 3.5 seconds?
Answer:
354 m
Step-by-step explanation:
to find the height substitute t = 3.5 into the height polynomial
height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354
Determine your Type I error about the 1968 minimum wage, if your null hypothesis, H0, is p≤$10.86.Select the correct answer below:You think the 1968 minimum wage was at most $10.86 when, in fact, it was.You think the 1968 minimum wage was at most $10.86 when, in fact, it was not.You think the 1968 minimum wage was not at most $10.86 when, in fact, it was.You think the 1968 minimum wage was not at most $10.86 when, in fact, it was not.
The correct answer to the question is "You think the 1968 minimum wage was at most $10.86 when, in fact, it was not."
Explanation: -
In statistical hypothesis testing, a Type I error is the rejection of a null hypothesis when it is actually true.
In this scenario, the null hypothesis is that the 1968 minimum wage is p≤$10.86. If a researcher thinks that the 1968 minimum wage was at most $10.86, but in reality, it was not, this would be a Type I error. In other words, the researcher rejected the null hypothesis (that the minimum wage was $10.86 or less) when it was actually true.
To determine the probability of making a Type I error, we use the significance level, denoted by α. The significance level is the probability of rejecting the null hypothesis when it is actually true. If we set α=0.05, this means that there is a 5% chance of making a Type I error. So, if we reject the null hypothesis that the 1968 minimum wage is $10.86 or less, when in fact, it is true, we are making a Type I error with a probability of 0.05 or 5%.
Therefore, the correct answer to the question is "You think the 1968 minimum wage was at most $10.86 when, in fact, it was not."
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Nine and two hundred thirty-five thousand as decimals
9.235
"nine and two hundred thirty-five"
You're going to start with the number(s) before and which would be 9 in this case then lake your number(s) after the and, the number would be 235 in this case now you have 9 and 235 replace the and for a decimal and you will get your answer :) 9.235
Kira is a lovable dog who is full of energy. her owner thought it would be fun to train her by throwing a frisbee for her to catch. when the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = â€" 0.07t2 0.007t 5. how many seconds will it take for the frisbee to hit the ground? â€"8.5 seconds â€"5.0 seconds 5.0 seconds 8.5 seconds
The Frisbee following a parabolic path will take 8.5 seconds to hit the ground.
How to find the time in seconds it will take for the frisbee to hit the ground in secondsGiven that:
h(t) = â€" 0.07t2 - 0.007t - 5
The given equation is the parabolic equation showing the path traced by the frisbee. from the equation
h = height from ground
t = time consumed in seconds
time it takes to hit the ground will be at h = 0. we therefore solve as follows:
h(t) = â€" 0.07t2 - 0.007t - 5
0 = 0.07t2 + 0.007t + 5
\(=\frac{-0.007+or-\sqrt{0.007^{2}-4*0.07*-5 } }{2*0.07}\)
\(=\frac{-0.007+or-\sqrt{0.0049+1.4 } }{0.14}\)
\(=\frac{-0.007+or-\sqrt{1.3951 } }{0.14}\)
=8.5 or -8.5 seconds
≅ 8.5 seconds
We choose the positive which is 8.5 seconds and can therefore say that the first option is the correct option.
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Sunrise Middle School is holding a carwash to raise money for their various school sport teams. The cost is $10 for SUV's and $5 for cars. Twenty-five percent of the money raised goes to the football team, thirty percent goes to the soccer team and the remaining percentage goes toward the basketball team. Write an expression to represent how much the basketball team will receive. Let S represent number the SUV's and Let C represent the number of cars
the expression to represent how much the basketball team will receive is:
$4.50S + $2.25C
To find the amount that the basketball team will receive from the car wash, we need to start by finding the total amount of money raised. We can do this by multiplying the number of SUVs by $10 and the number of cars by $5, and adding those two products together. So the total amount raised can be expressed as:
Total amount = $10S + $5C
Next, we need to determine what percentage of the total amount will go to the basketball team. We know that 25% goes to the football team, 30% goes to the soccer team, and the remaining percentage goes to the basketball team. We can express this as:
Basketball team's share = (100% - 25% - 30%) x Total amount
Simplifying this expression, we get:
Basketball team's share = 45% x Total amount
Substituting the expression for the total amount that we found earlier, we get:
Basketball team's share = 45% x ($10S + $5C)
Simplifying this expression further, we get:
Basketball team's share = $4.50S + $2.25C
So the expression to represent how much the basketball team will receive is:
$4.50S + $2.25C
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