Solution,
Given,
A = 39
B = 8
b = 5
A = h(B+b)
Now,
A = h(B+b)
Putting the given values,
39 = h(8+5)
or, 39 = h×13
or, 39÷13 = h
or, 3 = h
or, h = 3
Therefore,the value of h is 3
Noreen can walk
mile in 12 minutes. What is her average speed in miles per hour?
Answer:
5 miles per hour
Step-by-step explanation:
12 minutes = 0.2 hours
1/0.2 = 5
Answer: 5 miles per hour
Answer:
average speed is 5mph
Step-by-step explanation:
hope this helps!
how many sixteenths are there in 1\4
Answer:
There are 4 sixteenths in one-fourth
Step-by-step explanation:
how many sixteenths are there in 1\4?
There are 4 sixteenths in one-fourth
1/4 : 1/16 =
1/4 * 16 =
4
Tell which of the following distributions would have the least variation a. Weights of 20 year old women b. Weights of adult men c. Weights of 20-year olds d. Weights of all adults
From the given distributions, the distribution that would have the least variation is weights of 20-year-old women. (Option A)
A variation refers to a relation between a set of values of one variable and a set of values of other variables. Hence, in a distribution, variability indicates how far apart points lie from each other and from the center of a distribution or a data set. Variability is also referred to as spread, scatter, or dispersion. There are many ways to describe variability or spread including range, interquartile range (IQR), and variance and standard deviation. The variance is defined as the sum of the squared distances of each term in the distribution from the mean (μ), divided by the number of terms in the distribution (N). The distributions which will have least variation would be weights of 20-year-old women, as due to smaller range, the difference between the values and the mean would be smaller as well. Hence, the variance would be least for this distribution.
Note: The question is incomplete. The complete question probably is: From the following distributions, which distributions would have the least variation. (A) Weight of 20-year-old woman (B) Weight of all adult men (C) Weight of all adults (D) Weight of 20 year old.
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Demand for soccer balls at a new sporting goods store is forecasted using the following regression equation: Y = 98 + 2.2X where X is the number of months that the store has been in existence. Let April be represented by X = 4. April is assumed to have a seasonality index of 1.15. What is the forecast for soccer ball demand for the month of April (rounded to the nearest integer)?
A. 123
B. 107
C. 100
D. 115
Answer:
B. 107
Step-by-step explanation:
Demand for soccer balls at a new sporting goods store is forecasted using the following regression equation: Y = 98 + 2.2X where X is the number of months that the store has been in existence. Let April be represented by X = 4. April is assumed to have a seasonality index of 1.15. What is the forecast for soccer ball demand for the month of April (rounded to the nearest integer)?
y = 98 + 2.2x when x = 4
y = 98 + 2.2(4)
y = 98 + 8.8
y = 106.8
A. 123
B. 107
C. 100
D. 115
Find the angle between (u= sqrt 5i) -8j and (v= sqrt 5i) +j. Round to the nearnest tenth of a degree.
Answer:
98.5
Step-by-step explanation:
The dude above do be wrong doh
1.The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard deviation (sigma) of 0.5 hours.
What is the probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race?
Using the normal distribution, there is a 0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
\(\mu = 2.5, \sigma = 0.5\).
The probability that a randomly selected cyclist will take between 2.35 and 2.45 hours is the p-value of Z when X = 2.45 subtracted by the p-value of Z when X = 2.35, hence:
X = 2.45:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.45 - 2.5}{0.5}\)
Z = -0.1
Z = -0.1 has a p-value of 0.4602.
X = 2.35:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2.35 - 2.5}{0.5}\)
Z = -0.3
Z = -0.3 has a p-value of 0.3821.
0.4602 - 0.3821 = 0.0781.
0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.
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Find the z-score corresponding to the given area. Remember, z is distributed as the standard normal distribution with mean of and standard deviation .
Answer:
Step-by-step explanation:
The z-score corresponding to a given area of a distribution, is the number of standard deviations that the values in that area have/are from the mean.
In this case, we have a STANDARD normal distribution. In a standard normal distribution, the mean is 0 and the standard deviation is 1.
The Z-score corresponding to a given area, say the 30th percentile is
X = 0 + (-0.524)(1)
Hence, the X (number of values in the given percentile - in this case, 30th) is same as the z-table or z-calculator value for the 30th percentile in ANY normal distribution.
What is the formula forfinding the area of a circle using its radius or diameter.
Answer:
The formula for finding the area of a circle using its radius is:
The formula for finding the area of a circle using its radius is:A = πr²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.
The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14
Step-by-step explanation:
Hope it Helps
The formula for finding the area of a circle using its radius is π * r².
The formula for finding the area of a circle using its diameter is (π/4) * d².
The formula for finding the area of a circle using its radius is:
A = π * r²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
r represents the radius of the circle.
If you have the diameter of the circle instead of the radius, you can use the following formula:
A = (π/4) * d²
where:
A represents the area of the circle,
π (pi) is a mathematical constant approximately equal to 3.14159, and
d is the diameter of the circle.
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Choose the correct answer below.
A. The level of significance, , is the probability of committing a Type I error, rejecting the null hypothesis when it is, in fact, true.
B. The level of significance, , is the probability of committing a Type I error, rejecting the null hypothesis when it is, in fact, true.
C. The level of significance, , is the probability of committing a Type II error, not rejecting the null hypothesis when it is, in fact, false.
D. The level of significance, , is the probability of committing a Type II error, rejecting the null hypothesis when it is, in fact, true.
E. The level of significance, , is the probability of committing a Type II error, rejecting the null hypothesis when it is, in fact, true.
F. The level of significance, , is the probability of committing a Type I error, not rejecting the null hypothesis when it is, in fact, false.
Answer: The level of significance, , is the probability of committing a Type I error, rejecting the null hypothesis when it is, in fact, true.
Step-by-step explanation:
The significance level, which is commonly designated as alpha (α) is defined the probability of rejecting the null hypothesis when it is in fact, true.
To determine statistical significance, a researcher is expected to calculate a p-value. The researcher can reject the null hypothesis if the p -value is less than α as established by the researcher.
If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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how do I understand implicit function
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
Part D
Now use GeoGebra to measure the lengths of segments AB and BC and calculate the area of rectangle ABCD. Do you get the same result that you obtained in part C? Take a screenshot with the lengths of the sides labeled and the area displayed, and paste it below.
Answer:
id ont givea
efijhaoieuvbhzoiubhoewivbawzoufhbealivjhbr
Step-by-step explanation:
idsifui piuh vSeth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
What is the quotient of Negative 3 over 8 and Negative one-third?
a cell phone tower services about 1,256sq. miles what is the radius?
Start with the formula for finding the area of a circle.
A=πr2
First, substitute the given information in the equation. You have the area and you know that pi is 3.14.
153.86=(3.14)r2
Next, divide the area by pi. This will help to get one step closer to figuring out the radius.
3.14)153.86¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Remember, when you divide decimals, to move the decimal two places in the divisor and the dividend.
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯
314)15386¯¯¯¯¯¯¯¯¯¯¯¯¯¯ 49− 1256 –––––––– 2826 − 2826–––––––0
So far, the answer is 49, but that is not the radius because r2 is on the right side of the equal sign.
49=r2
Then, you need to figure out which number times itself is equal to 49. You can figure this out by finding the factors of 49.
7×7=49
Now, you know that the radius is 7 inches because 7×7=49.
The radius is 7 inches.
Finally, to figure out the diameter, which is twice the radius, multiply the radius by 2.
7×2=14
The diameter is 14 inches.
hope this helps.
The radius covered by the tower will be 20 miles.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that a cell phone tower services about 1,256sq. miles. The area of the circle will be calculated by the formula,
Area = πr²
1256 = π x r²
r² = ( 1256 / π )
r² = 400
r = √400
r = 20 miles
Hence, the radius of the circle will be 20 miles.
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Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6.0. We take a simple random sample of 36 seniors and calculate the sample mean homework hours per week. If you discover that Northside High has only 200 seniors, which of your three answers would no longer be correct
Michael owns dogs, hamsters and fish in the ratio 2:3:6
If he has 6 hamsters, how many pets does he have?
Answer:
11
Step-by-step explanation:
I think you just add the ratios together.
find the slope of the line (-5,2) and (4,2)
Answer:
The answer is 0
Step-by-step explanation:
Help please will mark brainliest!
Answer:
106
Step-by-step explanation:
A cashier always starts the day with $60 in pennies, nickels, dimes, and quarters. She begins with five times as many pennies as quarters, and the number of nickels and dimes are both twice the number of quarters. How many pennies does she start with?.
Answer:
500
Step-by-step explanation:
q = q
p = 5q
n = 2q
d = 2q
0.25q + 0.1d + 0.05n + 0.01p = 60
0.25q + 0.1(2q) + 0.05(2q) + 0.01(5q) = 60
q = 100
p = 5q = 5(100) = 500
Answer: 500
Jacob took out a loan from a bank today (now). The original agreement stated that to pay off the loan he had to make two equal payments: The first payment of $3000 was due 6 months from now, and the second payment of $3000 was due 12 months from now.
Suppose he renegotiated with the bank so that instead of the original agreement he will make a single payment 24 months from now to pay off the two original obligations.
What single payment 24 months from now will he have to make if the simple interest rate is 10%? The agreed focal date is 24 months from now.
The single payment Jacob would make in 24 months from now, to pay off the two obligations under the new agreement is $7,620.
We shall be solving this using the formula for Simple Interest,
What is the formula for Simple Interest?The interest accrued on each payment can be calculated using the formula for Simple Interest:
Interest = Principal × Rate × Time
where:
Principal = amount borrowed,
Rate = simple interest rate,
Time = time period in years.
Under the original agreement, Jacob shall make two payments of $3000 each, one 6 months from now and the other 12 months from now.
For payment1, the interest accrued would be:
Interest1 = $3000 × 0.10 × (6/12) = $150
For payment2, the interest accrued would be:
Interest2 = $3000 × 0.10 × (12/12) = $300
So the total amount Jacob was to pay under the original agreement is:
Total1 = $3000 + $150 + $3000 + $300 = $6,450
Now let's calculate the amount Jacob would have to pay under the new agreement.
Original principal for each payment is $3000.
The interest accrued on the sum of both payments can be calculated using the same formula for simple interest:
Interest3 = ($3000 + $150 + $3000 + $300) × 0.10 × (24/12) = $720
So the total amount Jacob would pay under the new agreement is:
Total2 = $3000 + $150 + $3000 + $300 + $720 = $7,620
So, Jacob would make a single payment of $7,620, 24 months from now,
to pay off both loans under the new agreement.
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A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?
Answer:
3%
Step-by-step explanation:
They made 97+3 total jars, 3 out of 100 is 3 percent.
The length of a rectangle is 25 cm.
What width will make the perimeter of the rectangle greater than 90 cm?
A. width <20 cm
B. width> 20 cm
OC. width ≥ 20 cm
OD. width 20 cm
E. width = 20 cm
Answer:
The correct answer is B, also may be Brain??
Step-by-step explanation:
The perimeter of a rectangle can be calculated using the formula P = 2l + 2w, where l is the length and w is the width. If the length of the rectangle is 25 cm and we want the perimeter to be greater than 90 cm, we can set up an inequality to solve for the width: 2l + 2w > 90.
Substituting the value for the length gives 2 * 25 + 2w > 90, which simplifies to 50 + 2w > 90. Subtracting 50 from both sides gives 2w > 40, and dividing by 2 gives w > 20.
So the width of the rectangle must be greater than 20 cm to make the perimeter greater than 90 cm. The correct answer is B: width > 20 cm.
Answer:
i'm guessing this but not 100% sure
Step-by-step explanation:
Let w = the width
P = 2l + 2w
2w + 2(25) > 90
2w + 50 > 90
2w > 40
w > 20 cm
hii happy holidays !! any help is appreciated consider the following graph
9514 1404 393
Answer:
A, M, N, F
Step-by-step explanation:
I find it easier to look at the graph, rather than mess with the coordinate transformations. Each image point is the same distance from the line of reflection that its pre-image point is. The line joining the two points is perpendicular to the line of reflection.
See attached for the reflected points.
__
The red and turquoise dashed lines are the lines y=x and y=-x, respectively. The same-colored arrows show the reflection of the relevant point.
_____
The transformations of interest are ...
(x, y) ⇒ (y, x) . . . . reflection over y = x
(x, y) ⇒ (-x, y) . . . . reflection over y-axis
(x, y) ⇒ (x, -y) . . . . reflection over x-axis
(x, y) ⇒ (-y, -x) . . . . reflection over y = -x
A density graph for all of the possible times from 50 seconds to 200 seconds
can be used to find which of the following?
OA. The probability of a time from 150 seconds to 250 seconds
OB. The probability of a time from 75 seconds to 250 seconds
OC. The probability of a time from 75 seconds to 150 seconds
OD. The probability of a time from 25 seconds to 150 seconds
The Probability of a time from 25 seconds to 150 seconds
To determine which option can be found using the given density graph, we need to understand the concept of probability and how it relates to a density graph.
A density graph represents the probability distribution of a continuous random variable. The area under the density graph within a specific interval corresponds to the probability of the variable falling within that interval.
Let's analyze the given options one by one:
OA. The probability of a time from 150 seconds to 250 seconds.
To find this probability, we need to determine the area under the density graph between 150 seconds and 250 seconds. However, the given density graph only provides information from 50 seconds to 200 seconds, so we cannot accurately determine the probability for this interval. Therefore, option OA cannot be found using the given graph.
OB. The probability of a time from 75 seconds to 250 seconds.
Again, to find this probability, we need to calculate the area under the density graph between 75 seconds and 250 seconds. Since the given density graph only covers up to 200 seconds, we cannot accurately determine the probability for this interval. Thus, option OB cannot be found using the given graph.
OC. The probability of a time from 75 seconds to 150 seconds.
Now, we can determine the probability for this interval by calculating the area under the density graph between 75 seconds and 150 seconds. As long as this interval falls within the range covered by the graph (50 seconds to 200 seconds), we can accurately find the probability for it. Therefore, option OC can be determined using the given graph.
OD. The probability of a time from 25 seconds to 150 seconds.
Since the density graph only covers the range from 50 seconds to 200 seconds, we cannot determine the probability for an interval starting at 25 seconds. Therefore, option OD cannot be found using the given graph.
In conclusion, based on the information provided, option OC (the probability of a time from 75 seconds to 150 seconds) can be determined using the given density graph.
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DONT IGNORE PLEASE!! What is the measure of angle c
A. 94°
B. 86°
C. 18°
D. 274°
Answer:
B
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180° , so
∠ c + 56° + 38° = 180°
∠ c + 94° = 180° ( subtract 94° from both sides )
∠ c = 86°
A rug had a length of 9 feet and a width of 3 feet what is the perimeter of the rug
Answer:
24 ft
Step-by-step explanation:
to find the perimeter of rug is you have to add 9+9+3+3= 24
Line DCE is parallel to line AB
a) Find the size of angle ABC
b) Find the size of angle DCA
c) Calculate the size of angle ACB
Answer:
Angle DCA = Angle CAB. (Alternate Interior Angle)
Angle DCA = 68°
Angles(DCA + ACB + BCE) = 180°. (Linear Pair)
Angle ACB + 68° + 33° = 180°
Angle ACB = 79°
Therefore,
Angle ABC = 33°. (Alternate Interior Angle)
Approximate the temperature of the water after 6 intervals
help me please and thankyou!
Answer:
13.5
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
By BPT.
\( \frac{2x}{80} = \frac{27}{60} \\ \\ \frac{x}{40} = \frac{27}{60} \\ \\ x= \frac{27 \times 40}{60} \\ \\ x= \frac{27 \times 2}{3} \\ \\ x= {9 \times 2} \\ \\ x = 18\)