The unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
Unit rateUnit rate is the rate of a quantity in terms of another quantity per unit.
Number of books = 1/4Number of hours = 1/3Unit rate(books per hour) = Number of books / Number of hours
= 1/4 ÷ 1/3
= 1/4 × 3/1
= (1×3) / (4×1)
= 3/4 books per hour
Therefore, the unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
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anyone think they can help me??
The kind of transformation that is illustrated based on the information given is reflection.
What is transformation?It should be noted that transformation simply means the change in the position of an object while maintaining the length and other properties.
In this case, the kind of transformation that is illustrated based on the information given is reflection.
This is the flipping of the pre image and then producing the mirror image.
Here, there'll be no change in the shape of the size. This depicts congruency.
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Hurry show your work
Answer: [tex]\huge\boxed{\boxed{15}}[/tex]
Step-by-step explanation:
Given expression
[tex]\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }[/tex]
Simplify the exponents
[tex]\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }[/tex]
Simplify values in the parenthesis
[tex]\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }[/tex]
[tex]\large\boxed{=\frac{12[5]}{|10|-|-6| } }[/tex]
Simplify absolute values (all positive)
[tex]\large\boxed{=\frac{12[5]}{10-6 } }[/tex]
[tex]\large\boxed{=\frac{12[5]}{4 } }[/tex]
Simplify by division
[tex]\large\boxed{=3~[5]}[/tex]
Simplify by multiplication
[tex]\huge\boxed{\boxed{=15}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the area of the polygon with vertices
A(0,5), B(0,2), C(-3,2), and D(-3,5)?
Answer: 9
Step-by-step explanation:
assuming that each box is 1 square inch then, you would get 9 square inches.
0,5 go down three to get 0,2
0,2 go left three to get -3,2
-3,2 go up three to get -3,5
-3,5 go right three to get 0,5
so you end up with a 3-by-3 box
HELP!
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
The areas of the parallelograms can be compared as: A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
What is a parallelogram?A parallelogram refers to a geometrical shape and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.
How to calculate the area of a triangle?Mathematically, the area of a triangle can be calculated by using this formula:
Area = ½ × b × h
Where:
b represents the base area.h represents the height.How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
Where:
A represents the area of a rectangle.l represents the length of a rectangle.w represents the width of a rectangle.Next, we would determine the area of the two parallelograms as follows:
Area of parallelogram 1 = Area of red-rectangular figure - Area of triangle A - Area of triangle B - Area of triangle C - Area of triangle D.
Substituting the given parameters into the formula, we have;
Area of parallelogram 1 = (6 × 6) - (½ × 4 × 2) - (½ × 2 × 4)- (½ × 4 × 2) - (½ × 2 × 4)
Area of parallelogram 1 = 36 - 4 - 4 - 4 - 4
Area of parallelogram 1 = 36 - 16
Area of parallelogram 1 = 20 units².
For parallelogram 2, we have:
Area of parallelogram 2 = Area of blue-rectangular figure - Area of triangle P - Area of triangle Q - Area of triangle R - Area of triangle S.
Substituting the given parameters into the formula, we have;
Area of parallelogram 2 = (8 × 4) - (½ × 2 × 2) - (½ × 6 × 2)- (½ × 2 × 2) - (½ × 2 × 6)
Area of parallelogram 2 = 32 - 2 - 6 - 2 - 6
Area of parallelogram 2 = 32 - 16
Area of parallelogram 2 = 16 units².
Difference = Area of parallelogram 1 - Area of parallelogram 2
Difference = 20 - 16
Difference = 4 units².
In conclusion, we can infer and logically deduce that the area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
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Find the least number should 2028 be multiplied so that the product is a perfect
square?
Thus, 2028 needs to be multiplied by 3 to become a perfect square. Therefore, the number 6084 has 3 pairs of equal prime factors . Hence, the smallest number by which 2028 must be multiplied so that the product is a perfect square is 7
find the prime factorization of 11250
Answer:
2 x 3 x 3 x 5 x 5 x 5 x 5
Step-by-step explanation:
see picture
Sarmad has a backyard pool that is filled with 10800 gallons of water the pool has a leak and is loseing about 2 gallons of water every second
a) Write an expression to represent that amount of water in the pool assume the pool starts with a full quantity of 10800 gallons.
b) How much water is the pool after 187 seconds
11) describe the transformations that have been applied to the function y=x Use proper mathematical terminolgy.
a) y=-2x b) y=x-2
The function that represents the amount of water is y = -2x + 10800 while the water in the pool after 187 seconds is 10426 gallons
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A linear equation is in the form:
y = mx + b
Where m is the slope and b is the y intercept
Let y represent the amount of water in the pool after x seconds, hence:
y = -2x + 10800
After 187 s:
y = -2(187) + 10800 = 10426 gallons
The function that represents the amount of water is y = -2x + 10800 while the water in the pool after 187 seconds is 10426 gallons
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Guess my number when i tripple my number snd add five,i get 26 what is my number
Round 51.6172 to the
thousandths place.
Answer:
51.617
Step-by-step explanation:
tythe answer is 51.617 hope it helps
Explanation: The thousandths place is 51.6172 (Underlined is the thousandths) and since 2 is closest to zero we get an answer of 51.617.
Answer: 51.617
:)
A binomial experiment consists of 500 trials. the probability of success for each trial is. 4. what is the probability of obtaining the number of successes indicated in problems 51–58?
The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.
Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.
The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.
Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.
Cells x doute the no of surrell and
"p' denotes the probability of turrets
D= 5
H=pkin = 50-xo-5 = 250
σ = SD(X) = √√rbg
= √√5=x05x=5 = 14.№33
The probability of obtaining $45-26
= P(-5-250 < x-M 22605-250)
14.233
= P(-03864 < 2 2 0-7332)
8.4200
0.42
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which expression is equivalent to (125^2/ 124^4/3)
The answer is 25.
What is numerator and denominator?The value above the horizontal line is the numerator in a fraction. It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the vinculum. It indicates the overall total of all of the equal portions.For instance, the fraction bar is the line that separates the numbers 4 and 5, and 45 is a fraction. Here, the numerator is the number above the fraction bar, and the denominator is the number below the fraction bar. The denominator, or the number of pieces out of the whole, is represented by a numerator.Multiplying the numerator times the numerator and denominator. Denominator. The answer should be lowered to a mixed number in the simplest form.The expression is equivalent to [tex]\frac{125^{2} }{125^{\frac{4}{3}} }[/tex] :
[tex]\frac{125^{2} }{125^{\frac{4}{3}} } =125^{2-(\frac{4}{3}) }[/tex]
[tex]=125^{\frac{2}{3} }[/tex]
[tex]125=5x^{3}[/tex]
[tex](5^{3} )^{\frac{2}{3}} =5\frac{6}{3} =5^{2} =25[/tex]
Therefore, The answer is 25.
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[tex]\sqrt{2a-14} =2[/tex]
Answer:
a = 9
Step-by-step explanation:
[tex]\sqrt{2a-14} = 2[/tex]
2a - 14 = 4
2a = 18
a = 9
Answer:
The answer to this question is a = 9.
Step-by-step explanation:
To solve this problem, we need isolate the variable "a" on one side of the equation. Our first step must be to remove the square root. To do this, we should perform the inverse operation, which is squaring both sides.
√2a - 14 = 2
(√(2a - 14))² = 2²
2a - 14 = 4
Next, we should add 14 to both sides of the equation to get the variable term by itself.
2a - 14 + 14 = 4 + 14
2a = 18
Finally, we should divide both sides of the equation by 2 to remove the coefficient from the variable term.
a = 9
Therefore, the correct answer is a = 9.
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Find the perimeter of the shaded figure. PLS ASAP
Answer:
54
Step-by-step explanation:
When training models, you would typically place your data into three buckets: Train, Test, and Hold Out. What is the purpose of having hold-out data
Answer:
So, having "hold-out" data allows you to have a nonpartisan set of data (so to speak) for you to refer to later, once you have made use of the "train" and "test" sets. That way you can make a fair assessment as to the difference between the new and old ('hold-out") sets.
Or if you need to repeat the experiment or model again - then you can refer to the "hold out data"
Can you help me solve this, please?
Answer:
Step-by-step explanation:
What is the value of y?
Enter your answer in the box.
y =
Answer:
64°
Step-by-step explanation:
This is a question on angle properties.
Angle y + 37 + 79 = 180 (Sum of angles in a triangle)
Angle y + 116 = 180
Angle y = 180 - 116 = 64°
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
Bottom left
Step-by-step explanation:
Since the slope has to be positive it can't be the ones on the right side since both of them are negative. And the bottom left one is rising 3 and running 4. (formula = rise/run). See image.
If the expression below has a negative value, which inequality represents all possible values of n in the expression?
Answer: B
Step-by-step explanation:
We know N cannot be 0 as the value would not be negative.
We know N cannot be negative as that would make the expression positive.
B is the only answer that works.
pls answer this i will mark brainlest
Answer:
Answer is a
Step-by-step explanation:
it is the only answer that makes sense
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles
The height of the triangle is 11.3 in. The correct option is C. 11.3 in
Calculating height of triangleFrom the question, we are to determine the height of the given triangle
The height of the given triangle is x in.
Now, we will determine the value of x
In the diagram, we can observe that the height divides the triangle into two equal halves
Thus,
By the Pythagorean theorem, we can write that
12² = x² + 4²
144 = x² + 16
144 - 16 = x²
∴ x² = 144 - 16
x² = 128
x = √128
x = 11.3
Hence, the height of the triangle is 11.3 in. The correct option is C. 11.3 in
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Which table represents a linear function?
The table shows the number of grapes eaten over several minutes.
What is the rate of change for the function on the table?
15 grapes eaten per minute
15 minutes to eat each grape
60 grapes eaten per minute
60 minutes to eat each grape
The rate of change for the function on the table is; 15 grapes eaten per minute.
What is the rate of change of the function described by the table?It follows from the complete question that the table given indicates that;
after 1min, 15 grapes had been eaten, after the next minute, 30 grapes had eaten, after the 3rd minute, 45 grapes had already been eaten.On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.
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Find the length of the arc on a circle with a radius of 2.4 kilometers and is intercepted by a central angle measuring 150°. leave your answer in terms of π.
If the radius of the circle exists 2.4 kilometers and is intercepted by a central angle measuring 150° then the length of the arc exists 5π inches.
What was the relation between the central angle and its intercepted arc?If the vertex of an angle exists in the center of the circle and the two sides of the angle are radii in the circle, then this angle exists named a central angle.Each central angle exists subtended by the opposite arc, the name of the arc exists the starting point and the finish point of the angle.There exists a relation between the central angle and its subtended arc the measure of the central angle equals half the measure of its subtended arc.The length of the subtended arc relies on the measurement of its central angle and the length of the radius and the measure of the arc.The measurement of the circle exists at 360°.The length of the circle exists at 2πr.The radius of the circle r = 2.4 kilometers
The measure of the central angle exists at 150°.
The length of the arc = central angle/360 × 2πr
The length of the arc = 150°/360° × 2 × π × 2.4 = 2π
The length of the arc exists 2π kilometers.
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The following figure is made of 2 triangles.
3
A
Figure
Triangle A
Triangle B
Whole figure
10
5
Find the area of each part of the figure and the whole figure.
B
Area (square units)
Answer:Triangle A = 7.5 Triangle B= 15 Area=22.5
Step-by-step explanation:
So first we have to get the area of Triangle A. This means we have to find the height and base of it. The base is 5 and the height is 3 as you can see in the picture. So 5x3 equals 15, but because it's a triangle we have to divide by 1/2, which makes 7.5. So the area for Triangle A is 7.5.
Now we have to find the area for Triangle B. The height is 3 and the base is 10. So like we did with Triangle A we have to multiply and then divide by 1/2. Which makes 15.
Now that you have both areas you just have to add them together. Which makes 22.5.
So 22.5 is the answer. Give brainilest if you can!
Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.
A) 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3
B) fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3
C) 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10
D) 10 times fraction 1 over 4 plus 3 and 5, minus 3
Answer:
B
Step-by-step explanation:
because i said so
The effectiveness of a blood-pressure drug is being investigated. an experimenter finds that, on average, the reduction in systolic blood pressure is 47.3 for a sample of size 878 and standard deviation 15.9. estimate how much the drug will lower a typical patient's systolic blood pressure (using a 80% confidence level). enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Using the z-distribution, the estimate for how much the drug will lower a typical patient's systolic blood pressure is:
[tex]46.6 \leq \mu \leq 48[/tex]
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 80% confidence level, hence[tex]\alpha = 0.8[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.8}{2} = 0.9[/tex], so the critical value is z = 1.28.
The other parameters are given by:
[tex]\overline{x} = 47.3, \sigma = 15.9, n = 878[/tex]
Then the bounds of the interval are:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 47.3 - 1.28\frac{15.9}{\sqrt{878}} = 46.6[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 47.3 + 1.28\frac{15.9}{\sqrt{878}} = 48[/tex]
Hence the interval is:
[tex]46.6 \leq \mu \leq 48[/tex]
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Resolver por igualación
2x+3y=2
6x+12y=1
Answer:
[tex]x = 3.5[/tex]
[tex]y\approx1.666666667[/tex]
Step-by-step explanation:
To solve simultaneous equations, at least one of our variables must have the same coefficient. We can easily multiply the first equation by 4 to get 12y on both sides, so let's do that:
[tex]8x + 12y = 8[/tex]
No let's subtract the second equation from the first equation to get the third equation:
[tex]2x = 7[/tex]
Solve:
[tex]x = 3.5[/tex]
Now, we can substitute this value into one of the original equations - let's use the second one:
[tex]21 + 12y = 1[/tex]
Solve:
[tex]12y = - 20[/tex]
[tex]y = - \frac{ - 20}{12} = \frac{ - 10}{6} = - \frac{5}{3} \approx - 1.66666666667[/tex]
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
The navy reports that the distribution of waist sizes among male sailors is approximately normal, with a mean of 32.6 inches and a standard deviation of 1.3 inches. part a: a male sailor whose waist is 34.1 inches is at what percentile? explain your reasoning and justify your work mathematically. (5 points) part b: the navy uniform supplier regularly stocks uniform pants between sizes 30 and 36. anyone with a waist circumference outside that interval requires a customized order. describe what this interval looks like if displayed visually. what percent of male sailors requires custom uniform pants? show your work and justify your reasoning mathematically. (5 points) (10 points)
Using the normal distribution, it is found that:
a. A male sailor whose waist is 34.1 inches is at the 87.5th percentile.
b. 5.7% of male sailors requires custom uniform pants.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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:
[tex]\mu = 32.6, \sigma = 1.3[/tex]
For item a, the percentile is the p-value of Z when X = 34.1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (34.1 - 32.6)/1.3
Z = 1.15
Z = 1.15 has a p-value of 0.875.
Hence 87.5th percentile.
For item b, the proportion who does not require an special order is the p-value of Z when X = 36 subtracted by the p-value of Z when X = 30, hence:
X = 36:
Z = (36 - 32.6)/1.3
Z = 2.62
Z = 2.62 has a p-value of 0.996.
X = 30:
Z = (30 - 32.6)/1.3
Z = -2
Z = -2 has a p-value of 0.023.
0.996 - 0.023 = 0.943.
Hence the proportion who requires an special order is:
1 - 0.943 = 0.057.
5.7% of male sailors requires custom uniform pants.
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Drag each length to the correct location on the triangle. each length can be used more than once, but not all lengths will be used. what are the missing side lengths for the triangle? 10 5
Applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
What is Trigonometry Ratios?Trigonometric ratios are defined as the values of all trigonometric functions based on the right-angled triangle's side ratio. The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.
According to the given information:Reference angle (∅) = 60
Adjacent = 4√3
Opposite = ?
Apply TOA:tan 60 = opp/adj
tan 60 = Opp/4√3
√3 = opp/4√3
Opposite = √3 × 4√3
Opposite = 12
Find the other missing side:Reference angle (∅) = 60
Adjacent = 4√3
Hypotenuse = ?
Apply CAH:cos 60 = adj/hyp
cos 60 = 4√3/hyp
hyp = 4√3/cos 60
hyp = 4√3/1/2
hyp = 4√3 × 2
hyp = 8√3
Therefore, applying the trigonometry ratios, the missing lengths for right triangle ABC are: 12 and 8√3.
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Find the surface area of this composite solid.
Answer: C, 93m^2
Step-by-step explanation:
first step is to find the surface area of the base. it's 3x3, so that would be 9m^2. the sides of the rectangular prism are 5x3, so one side is 15m^2. there are 4, so 15x4=60m^2. now for the top, which is a triangular prism. each side has a height of 4 and a base of 3. the area of a triangle is 1/2bh, so 1/2(3)(4), which is 6. 4 of these makes 24 m^2. add up all of final numbers to get 9+60+24. this comes to 93m^2, or C.