Answer:
20
Step-by-step explanation:
Apply
14. The table shows the record high temperature, in degrees
Fahrenheit (°F) or degrees Celsius (°C), of certain states. The
formula F = 1.8C + 32 can be used to convert between degrees
Celsius and degrees Fahrenheit. What is the difference, in
degrees Celsius, between Nevada's record high temperature
and Alaska's record high temperature? Round to the nearest
tenth.
State
Alaska
Florida
Nevada
Texas
Record High
Temperature
38°C
109°F
125°F
49°C
Using the information from Question 1, what is the constant of proportionality? Remember, Daniel earns $37 for 4 hours and $64.75 for 7 hours.
Proportions
Two magnitudes are proportional if one of them can be calculated as the other by a constant number. That is:
y=k.x
Where y is one magnitude or variable and x is the other. K is the constant of proportionality
The information given in the question states the Daniel earns $37 for 4 hours.
Let's call E to his earnings, and h to the hours he works, thus:
E=k.h
We don't know yet the value of k.
Let's use the previous data to find k E=37 when h=4:
37 = k*4
Find k by solving the above equation. Dividing by 4:
37 / 4 = k
Thus:
k = 9.25
Knowing the value of k, the function is:
E = 9.25*h
Please note that for h=7:
E = 9.25*7= $64.75
The second data corresponds to the already-found value of k, thus:
The constant of proportionality is 9.25
Rhys takes out a loan of £200, which gathers
interest at a rate of 3% per year. How much
interest will he have to pay after the first year?
Rhys will have to pay £6 interest after the first year.
To calculate the interest, we can use the formula:
Interest = Principal x Rate
Where:
Principal = £200
Rate = 3% = 0.03 (in decimal form)
So, the interest Rhys will have to pay after the first year is:
Interest = £200 x 0.03 = £6
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how to solve this?please
Answer:
\( \large{ \red { \mathsf {x = \sqrt{5} \: and \: x =(-2)}}}\)By how much is the sum of 3 2/3 and 2 1/5 less than 7
Step-by-step explanation:
32/3+21/5÷7
14.87÷7
2.124
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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Suppose we have two random variables X and Y . The one with a
higher coefficient of variation exhibits higher variability Is true, false or uncertain?
The statement that the one with a higher coefficient of variation exhibits higher variability is true.
How to explain thisThe coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.
If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.
To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.
The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.
The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.
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help will give brainliest
Answer:
-10+4=-6
Step-by-step explanation:
PART A.By 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.What is the temperature at noon?
PART B.What represents zero in this situation? Explain.
A. The temperature at noon will be 6°F.
B. The thing that represents zero in this situation is when the temperature is neither raised nor dropped and it's at the initial stage.
How to calculate the temperature?Temperature is the measure of how hot or cold something is expressed in terms of one of several scales, which include Fahrenheit and Celsius. The direction in which heat energy will spontaneously flow is indicated by temperature.
A. From the information, by 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.
The temperature at noon will be:
= -4°F + 10°F
= 6°F
The temperature at 0 simply means the initial temperature.
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Steven measures the weight of a random sample of 49 basset hounds the mean wait was 45.8 lb with a standard deviation of 3 lb using the alternative hypothesis that Miu is less than 45.8 Steven found a ztest statistic of -1.5 what is the p value of the test statistic
Answer: 0.067
Step-by-step explanation:
Look at chart, go to the row for the z-column for -1.5 and then the column 0, this value is 0.0668 or 0.067.
The p-value of the test statistic is approximately 0.0668.
Given that,
Steven measured the weight of a random sample of 49 basset hounds.
The mean weight of the sample was 45.8 lbs.
The standard deviation of the sample was 3 lbs.
Steven used an alternative hypothesis that the true mean weight is less than 45.8 lbs.
Steven found the z-test statistic of -1.5.
Based on the information provided,
We can see that Steven has conducted a hypothesis test to determine whether the true mean weight of basset hounds is less than 45.8 pounds.
To calculate the p-value for this test statistic,
Use a standard normal distribution table to determine the area under the curve to the left of the z-score of -1.5.
Using a standard normal distribution table,
Find that the area to the left of -1.5 is approximately 0.0668.
This means that there is a 6.68% chance of getting a sample mean of 45.8 or less assuming that the true population mean is actually 45.8.
Alternatively, we can use a calculator to find the p-value.
Using a calculator, we would input the z-score of -1.5 and the degrees of freedom (which is n-1, or 48 in this case) into the calculator.
This would give us a p-value of approximately 0.0668 as well.
Thus,
The p-value of the test statistic is approximately 0.0668.
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Fred and Ted are interested in the average height of NC State students. They randomly sample students from NC State and construct confidence intervals from their data. Fred sampled 121 students to construct his confidence interval. Ted sampled 144 students to construct his confidence interval; both create histograms for their data which have symmetric, unimodal, and roughly bell-shaped distributions. Which of the following is true about the margins of error for these experiments?
a. Fred's margin of error is larger than Ted's.
b. Ted's margin of error is larger than Fred's.
c. Fred and Ted have the same size margins of error.
d. We are unable to determine which margin of error is larger without knowing more about Fred and Ted's samples.
Answer:
a. Fred's margin of error is larger than Ted's.
Step-by-step explanation:
Margin of error of a confidence interval:
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which z is related to the confidence level(the higher the confidence level the larger the value of z) \(\sigma\) is the standard deviation of the population and n is the size of the sample.
From this, we have that:
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a smaller margin of error.
In this question:
Same confidence level.
Fred's sample is smaller, so his margin of error will be larger.
The correct answer is given by option a.
For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
Fred and Ted are interested in the average height of NC State students.
They randomly sample students from NC State and construct confidence intervals from their data.
Fred sampled 121 students to construct his confidence interval.
Ted sampled 144 students to construct his confidence interval.
The margin of error of a confidence interval
\(\rm M =z \dfrac{\sigma }{\sqrt{n}}\)
Where z is related to the confidence level, \(\sigma\) is the standard deviation level and n is a sample size.
By the formula, we have
A higher confidence level leads to a larger margin of error.
A larger sample size leads to a small margin of error.
For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.
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What are the coordinates of the image of the point (-4,-5) after reflecting over the y-axis
I need more help thank
Answer:
B. 24
Step-by-step explanation:
Since both triangles are similar, therefore,
GM/XD = AG/KX
(x - 2)/6 = (x + 9)/9
Cross multiply
9(x - 2) = 6(x + 9)
9x - 18 = 6x + 54
Collect like terms
9x - 6x = 18 + 54
3x = 72
Divide both sides by 3
x = 72/3
x = 24
10% of the 150 students in sixth grade are on the student council. How many sixth graders are on the student council?
plz help
Answer:
The answer is 15.
Step-by-step explanation:
10% of 150 is 15. (you can take away the zero)
Answer:
15 six graders would be in student council
Step-by-step explanation:
150/10
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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carol feeds her bird the same amount of food every day. over the past 7 days, her bad of bird food has decreased by 1 3/4 cups.
Answer:
12.25 or 12 1/4
Step-by-step explanation:
Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.
So, 7 days, the bird would eat, 1.75*7 days.
1.75*7=12.25
Answer:
12.25 or 12 1/4
Step-by-step explanation:
Every day, the bird at 1.75 or 1 and 3/4. so, this would also equal to 1.75*1 day.
So, 7 days, the bird would eat, 1.75*7 days.
1.75*7=12.25
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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Select the correct symbol.
0.88 ? 0.178
A.
Answer:
<
Step-by-step explanation:
0.88 = 88%
0.178 = 17.8%
Therefore, 0.178 < 0.88
At the craft store, Tara bought 12 yards of fabric to make tote bags. Each bag requires 1.25 yards of fabric.
Write an equation that shows the number of yards of fabric remaining, depends on the. Number of tote bags Tara sews, x
The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is \(y = 12 - 1.25x\).
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.
The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is
\(y = 12 - 1.25x.\)
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Hannah has 3 places to hang pictures on her wall.she has 6 possible pictures all together. How many possible arrangements of pictures can she hang?
The number of possible arrangements of pictures she can hang on her wall is 120.
How many possible arrangements of pictures can she hang?
The number of possible arrangements can be determined by dividing the factorial of 6 by the factorial of 3.
Number of possible arrangements = 6! / 3!
( 6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1) = 6 x 5 x 4 = 120
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$1400 is invested at 4% per annum simple interest. How long will it take for the amount to reach $1624? Show you working.
Answer:
4 years
Step-by-step explanation:
I = prt
F = p + prt
F = 1400 + 1400 * 0.04 * t
1624 = 1400 + 1400 * 0.04 * t
224 = 56t
t = 4
Answer: 4 years
Use the diagram shown. Solve for x. Find the angle measures to check your work.
mZAOB=(6x-3)°
mZBOC = (6x +18)
mZCOD= (3x+12)°
mZAOB=
mZBOC=
mZCOD=
Vz
O
The values of the angles are m∠AOB = 27°, m∠BOC = 48° and m∠COD = 27°.
Congruency may be defined as the property between two shapes or figures which shows same behavior in their shape and size. The symbol for congruency is given by '≅'. If one image is mirror image of another, then also both are said to be congruent. From the figure ∠AOB is congruent to ∠COD. We have the value of m∠AOB = 6x - 3 and m∠COD = 3x + 12. Equating these two values we get
6x - 3 = 3x + 12
3x = 15
=> x = 5
Now, the value of m∠AOB = 6x - 3 = 27°, value of m∠BOC = 6x + 18 = 48° and of value m∠COD = 3x + 12 = 27°.
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If 2x-y=9 and 3x+4y=19, then y=
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
35 equals:
A. 53
B._35
D.243
E. 81
If you meant to say 3^5 or \(3^5\), then,
\(3^5 = 3*3*3*3*3 = 243\) (there are five copies of '3' multiplied)
So the answer would be choice D) 243.
Hey there!
\(Answer:\boxed{243}\)
\(Explanation:\)
\(3^5\)
\(3*3*3*3*3=243\)
\(\boxed{243}\text{ is our final answer.}\)
Hope this helps!
\(\text{-TestedHyperr}\)
Enter a positive common factor (other than 1) of the fraction's numerator and
denominator.
9/21
what is the base of 3^x=8
Answer:
3
Step-by-step explanation:
The box and whisker plot shows the recent test scores from WYVA Summit Math 6 class.
A. What is the interquartile range in a box-and-whisker plot?
B. What percent of the students got 80% or higher, which would be a B?
C. Write about Math: Using the interquartile range, explain how well the math class did on this test.
a. It represents the spread of the middle 50% of the data.
b. At least 50% of the students scored between 80 and 86.
c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
What is interquartile range?How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.
A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.
B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.
Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.
From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.
C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.
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James wants to earn money by selling cold water bottles. He buys a pack that costs $8.00. He plans to charge $2.00 for each bottle of water he sells. Calculate the amount of profit James will make if sells 24 water bottles.
21.50 x y = 225
what is y?
I need help, please
Answer:
10.5
Step-by-step explanation:
225÷21.50
=10.46511
=10.5(3sf)
Use a proof by contraposition to prove that if m and n are integers and mn is even, then m is even or n is even.
In order for mn to be even, m must be even or n must be an even number.
What is Contraposition ?The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.
Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:
Let n and m be equal to 2a +1 and 2b + 1 respectively, then their product is:
(2a +1) (2b + 1) = 4ab + 2a + 2b + 1
= 2(2ab +a + b) + 1
This shows that the expression 2(2ab +a + b) + 1 is of the form 2n +1, thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.
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