The scale of the drawing to the new barn is 1:1.5.
Explanation:To find the scale of the new barn compared to the existing barn, we can use the ratio of their sides. Let's call the shortest side of the new barn x meters. The ratio of the lengths of the shortest sides of the new and existing barns is given as 2/3. Setting up the proportion, we have 2/3 = x/150. Cross-multiplying, we find x = (2/3) * 150 = 100 meters. Therefore, the shortest side of the new barn measures 100 meters. The scale of the drawing to the new barn can be determined by dividing the length of the shortest side of the drawing by the length of the shortest side of the new barn. Let's call the scale factor y. We have y = 150/100 = 1.5. Therefore, the scale of the drawing to the new barn is 1:1.5.
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Chris placed an order for 30 chairs with the furniture store. He ordered metal chairs at $25 each and plastic chairs at $10 each. His order totaled $450. How many of each chair did he order?
Answer:
10 metal and 20 plastic
Step-by-step explanation:
10 x 25 is 250, 20 x 10 is 200 and 250 + 200 is 450
Place each of the key aspects under the function it describes.
range: 1 y 2 0}
h(x) = (x - 1)2
g(x) = -(x + 1)(x - 1)
decreasing over (-0, 1)
increasing over (-0,0)
range: [yl y s 1)
increasing over (1.c)
decreasing over (0,)
The functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a function:
h(x) = (x - 1)²
The range of the function:
y ≥ 0
The function increases over the interval (1, ∞)
The function decreases over the interval (-∞, 1)
g(x) = -(x + 1)(x -1)
The range of the function:
y ≤ 1
The function increases over the interval (-∞, 0)
The function decreases over the interval (0, ∞)
Thus, the functions h(x) = (x - 1)² and g(x) = -(x + 1)(x -1) key aspects shown in the picture.
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como se hace la operacion de 7x8-(31-61)
Answer:
86
Step-by-step explanation:
Use the formula to find the lateral area and surface area of prism
Answer:
The answer to your question is 2046 in²
Step-by-step explanation:
Data
length = 30 in
base = 24 in
hypotenuse = 25 in
Process
1.- Calculate the height of the triangle using the Pythagorean theorem
c² = a² + b²
-Solve for b
b² = c² - a²
-Substitution
b² = 25² - 24²
-Simplification
b² = 625 - 576
-Result
b² = 49
b = 7 in
2.- Calculate the area of the base
Area = base x height
Area = 24 x 7 x 2
= 336 in²
3.- Calculate the lateral area
Area = 30 x 25 x2
= 1500 in²
4.- Calculate the last area
Area = 30 x 7
= 210
5.- Final area
Total area = 210 + 1500 + 336
= 2046 in²
A magazine claims that the mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World. The results for samples of customer transactions for the two fast food restaurants are shown below. At α= 0.10, can you support the magazine's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed.
Burger Stop: mean = $8.88, standard deviation = $0.82, sample size = 17
Fry World: mean = $8.25, standard deviation = $0.72, sample size = 8
Identify the claim and state H0 and Ha. Which is the correct claim below?
A. "The mean amount spent by a customer at Burger Stop is equal to the mean amount spent by a customer at Fry World."
B. "The mean amount spent by a customer at Burger Stop is greater than the mean amount spent by a customer at Fry World."
C. "The mean amount spent by a customer at Burger Stop is not equal to the mean amount spent by a customer at Fry World."
D. "The mean amount spent by a customer at Fry World is greater than the mean amount spent by a customer at Burger Stop."
Answer: Option "B" is correct.
Step-by-step explanation:
Since we have given that
α= 0.10
Let the population variances are equal and samples are random and independent.
Let [tex]\bar{x}[/tex] be the mean amount spent by a customer at Burger Stop.
Let [tex]\mu[/tex] be the mean amount spent by customer at Fry World.
So, it has given that
the mean amount is spent by a customer at Burger stop is greater than the mean amount spent by a customer at Fry World.
So, Hypothesis would be :
[tex]H_0:\bar{x}=\mu\\\\H_1:\bar{x}>\mu[/tex]
Hence, Option "B" is correct.
a 1000 watt microwave does --------- joules of work in 5 seconds
Answer:
5,000 Joules of work.
Step-by-step explanation:
A 1000-watt microwave does 5000 joules of work in 5 minutes.
What is work?Work is defined as the energy transferred to or from an object by applying force along a displacement.
Given that, the power of the microwave is P = 1000 watts and the time is t = 5 s.
The work done by the microwave is given by:
W = P×t
W = 1000 × 5
W = 5000 joules
Hence, a 1000-watt microwave does 5000 joules of work in 5 minutes.
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Brianna has 6 bags of soil. Filling one flowerpot requires
1
3
of a bag of soil. How many flowerpots can be filled with these 6 bags?
Answer:
18
Step-by-step explanation:
6*3=18
Answer: 18
Step-by-step explanation: It's easy, you have to divide in order to get 18.
What is the surface area of the triangular pyramid shown? Round to the nearest tenth.
5.2
[Not drawn to scale]
A. 57.6
B. 69.6
C. 73.2
D. 87.6
Answer:
A. 57.6
Step-by-step explanation:
6 times 5.2 is 31.2. 4 times 5 is 20. 6 times 5 is 30. 6 times 5 is 30. (31.2/2)+(20/2)+30= 55.6 Then you round nearest tenth. 57.6.
Answer:
Aa 57.6
Step-by-step explanation:
It is correct
correct on E D G E N U I T Y
Is 3√124 the same as 6√31?
Answer:
Yes
Step-by-step explanation:
[tex]3\sqrt{124} = 3\sqrt{4} \sqrt{31} \\\sqrt{4} = 2\\ 3*2\sqrt{31}=6\sqrt{31}[/tex]
50 POINTS PLEASE HELP
what type of number is 4√20
a/ a rational number
b. an irrational number
c. an Inger
d. none of these
Answer:
B
Step-by-step explanation:
A rational number is one that can be written in the form p/q, where p and q are whole numbers. However, [tex]4\sqrt{20} =8\sqrt{5}[/tex] cannot be simplified further. It is impossible to write it in the form of p/q, so it's not A.
An irrational number is just the opposite of a rational one: it can't be written in the form p/q. Since [tex]4\sqrt{20} =8\sqrt{5}[/tex] isn't rational, it's irrational, so B is correct.
An integer is a number without any decimal values. [tex]4\sqrt{20} =8\sqrt{5}[/tex] is approximately 17.889. Clearly, this is a decimal, so it's not C.
D is wrong because we know [tex]4\sqrt{20} =8\sqrt{5}[/tex] is irrational.
Hope this helps!
Answer:
B. An irrational number
Step-by-step explanation:
4√20 can not be written in the fraction form, hence not rational
√20 is not an integer, hence 4√20 is also not at integer
The equation:
2x + 4 = -8 + 5x
-3x
Step 1 and 2:
Add or Subtract
(use the inverse
operation)
Step 3:
Multiply or
Divide
(use the inverse
operation)
Final Answer:
[tex]2x + 4 = - 8 + 5x \\ 12 = 3x \\ x = 4[/tex]
You pick a card at random .without putting the first card back you pick a second card at random what is the probability of picking a 4 and then picking 4
Answer:
For on it depends on how many cards you have and how many 4's there are
Step-by-step explanation:
So say you had 16 cards and 3 of them were 4 the probability of you picking a 4 is 3 of 16.
Final answer:
The probability of drawing a 4 and then another 4 in sequence without replacement from a 52-card deck is 1/221, calculated by multiplying the probabilities of drawing a four on the first and second draws, 1/13 and 1/17, respective
Explanation:
The question involves calculating the probability of drawing two specific cards in sequence without replacement from a standard deck of 52 cards. The condition provided is drawing a 4 first and then drawing another 4 without putting the first card back. To solve this, consider the probability of each event happening.
For the first draw, there are 4 fours in a deck of 52 cards, so the probability of drawing a four (P(A)) is 4/52 or 1/13.
After drawing one four and not returning it, there are now 51 cards left and only 3 fours left. Therefore, the probability of drawing a four as the second card (P(B) given A) is 3/51 or 1/17.
To find the total probability of both events happening in sequence, multiply the probabilities of the individual events: 1/13 * 1/17.
Thus, the probability of drawing a 4 and then another 4 in sequence without replacement is 1/221.
Using only addition, how do you add eight 8’s and get the number 1000?
Answer: 888+88+8+8+8 = 1,000
Step-by-step explanation: First of all line all your eights' up and then split them
To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200.
Explanation:To add eight 8's and get the number 1000 using only addition, you can express 1000 as the sum of two numbers: 800 and 200. Here's how:
Add three 8's to get 24.Then, add four 8's to get 32.Now, you have 24 and 32, which add up to 56. Finally, add 800 and 200, which equals 1000.
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Charlie has 7 cards, numbered 2, 3, 4, 5, 6, 7, 8, 9. What is the probability of picking an odd card? Give your answer as a fraction, a decimal, and a percent. Round to the nearest hundredth.
There are 4 out of the 7 cards that are odd numbers.
As a fraction: 4/7
As a percent: 57.14%
As a decimal: 0.57
A major car company analyzes its revenue, R(x), and costs C(x), in millions of dollars over afifteen-year period. The company represents its revenue and costs as a function of time, in years, x,using the given functions.R(x) 550x3 - 12,000x2 + 83,000x + 7000C(x) 880x3 - 21,000x2 + 150,000x - 160,000The company’s profits can be represented as the difference between its revenue and costs.Write the profit function, P(x), as a polynomial in standard form.
The profit function, P(x), can be obtained by finding the difference between the revenue function, R(x), and the cost function, C(x). In this case, P(x) = -330[tex]x^3[/tex] + 9,000[tex]x^2[/tex] - 67,000x + 167,000.
Explanation:The profit function, P(x), can be obtained by finding the difference between the revenue function, R(x), and the cost function, C(x). In this case, we have:
R(x) = 550[tex]x^3[/tex] - 12,000[tex]x^2[/tex] + 83,000x + 7000
C(x) = 880[tex]x^3[/tex] - 21,000[tex]x^2[/tex] + 150,000x - 160,000
To find P(x), we subtract C(x) from R(x):
P(x) = R(x) - C(x)
Substituting the given functions, we get:
P(x) = (550[tex]x^3[/tex] - 12,000[tex]x^2[/tex] + 83,000x + 7000) - (880x3 - 21,000[tex]x^2[/tex] + 150,000x - 160,000)
Simplifying, we combine like terms:
P(x) = -330[tex]x^3[/tex] + 9,000[tex]x^2[/tex] - 67,000x + 167,000
Therefore, the profit function, P(x), can be expressed as a polynomial in standard form as -330[tex]x^3[/tex] + 9,000[tex]x^2[/tex] - 67,000x + 167,000.
The profit function, P(x), is found by subtracting the cost function, C(x), from the revenue function, R(x). After performing the subtraction and simplifying, the profit function in standard form is P(x) = [tex]-330x^3 + 9,000x^2 - 67,000x + 167,000.[/tex]
To find the profit function, P(x), we must subtract the cost function, C(x), from the revenue function, R(x). Given the functions:
R(x) = [tex]550x^3 - 12,000x^2 + 83,000x + 7,000[/tex]
C(x) =[tex]880x^3 - 21,000x^2 + 150,000x - 160,000[/tex]
We perform the subtraction:
Combine like terms:P(x) = [tex](550x^3 - 12,000x^2 + 83,000x + 7,000) - (880x^3 - 21,000x^2 + 150,000x - 160,000)[/tex]
Expand and group terms:
P(x) =[tex]550x^3 - 12,000x^2 + 83,000x + 7,000 - 880x^3 + 21,000x^2 - 150,000x + 160,000[/tex]
P(x) = [tex](550x^3 - 880x^3) + (-12,000x^2 + 21,000x^2) + (83,000x - 150,000x) + (7,000 + 160,000)[/tex]
Simplify the terms:
P(x) = [tex]-330x^3 + 9,000x^2 - 67,000x + 167,000[/tex]
The profit function, P(x), in standard form is:
P(x) = [tex]-330x^3 + 9,000x^2 - 67,000x + 167,000[/tex]
1. What is the measure of angle A'B'C?
a. 20°
b. 40°
C. 60°
d. 80°
Answer:
B
Step-by-step explanation:
Compare triangle ABC with triangle A'B'C. Let's try to prove that they're similar.
BC = 6 + 3 = 9 units
B'C = 6 units
BC/B'C' = 9/6 = 3/2 = 1.5
AC = 2 + 4 = 6 units
A'C = 4 units
AC/A'C = 6/4 = 3/2 = 1.5
These two pairs of corresponding sides have the same ratio, so that's promising.
Also notice that angle BCA = angle B'CA'. So, by SAS Similarity Theorem, we know that triangles ABC and A'B'C are similar.
By definition, similar triangles have the same corresponding angles.
Angle ABC corresponds to angle A'B'C, so they're equal. Since angle ABC = 40 degrees, then angle A'B'C = 40 degrees, as well.
Hope this helps!
Without proper context or a diagram, it's impossible to definitively state the measure of angle A'B'C. However, as an example, if angle A'B'C is in an equilateral triangle, it would be 60 degrees.
Explanation:The question appears to be asking about the measure of an angle, designated as A'B'C. However, without proper context or a diagram to reference, it's impossible to definitively state what the measure of angle A'B'C is. It can be any value depending on the context. But, if A'B'C is a part of a triangle or a particular geometric shape with known properties, we can solve it based on the information given related to that specific shape.
For example, in an equilateral triangle, each angle measures 60°. So, if A'B'C is an angle in an equilateral triangle, it would most likely be 60°. Yet, without sufficient context, this is simply a hypothetical situation.
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Suppose ACT Reading scores are normally distributed with a mean of 21 and a standard deviation of 6.1. A university plans to award scholarships to students whose scores are in the top 9%. What is the minimum score required for the scholarship?
Answer: the minimum score required for the scholarship is 29.24
Step-by-step explanation:
Since the scores are normally distributed, it follows the central limit theorem. The formula for determining the z score is
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
Since the university plans to award scholarships to students whose scores are in the top 9%, the scores that would be qualified are scores which are at least 91%(100 - 9 = 91).
Looking at the normal distribution table, the z score corresponding to the probability value of 0.91(91/100) is 1.35
From the information given,
µ = 21
σ = 6.1
Therefore,
1.35 = (x - 21)/6.1
6.1 × 1.35 = x - 21
8.235 = x - 21
x = 8.235 + 21 = 29.24
The minimum ACT Reading score required to be in the top 9% for a university scholarship is approximately 29.2, determined by using a z-score of 1.34, the mean score of 21, and the standard deviation of 6.1.
To determine the minimum ACT Reading score required to be in the top 9% of students, and hence eligible for a scholarship at a university, we utilize the concept of z-scores in a normal distribution. A z-score indicates how many standard deviations an element is from the mean.
First, we need to find the z-score that corresponds to the top 9% of the distribution. Standard z-score tables or calculators will show that the z-score for the top 9% is approximately 1.34. This z-score means the score is 1.34 standard deviations above the mean. Next, we apply the z-score formula:
Z = (X - μ) / σ
Where:
Z is the z-score (1.34 in this case),
X is the ACT score we want to find,
μ is the mean (21 for ACT Reading),
σ is the standard deviation (6.1 for ACT Reading).
We can rearrange the formula to solve for X (the ACT score):
X = Z * σ + μ
Substituting the values we have:
X = 1.34 * 6.1 + 21
X ≈ 29.214
The minimum ACT Reading score required for the scholarship is therefore approximately 29.2 when rounded to the nearest tenth.
what the volume is of this solid
Answer:
336.
Step-by-step explanation:
8 x 7 x 6 = 336.
Feel free to let me know if you need more help! :)
An ice chest contains 3 cans of apple juice, 8 cans of grape juice, 7 cans of orange juice, and 5 cans of pineapple juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.
Answer:
15/23
Step-by-step explanation:
please kindly see the attached for more explanation
Which three dimensional solid can have a vertical cross section that is a circle with a radius of 7
Answer: last option
Step-by-step explanation:
Huma hubna and seema recieved a total of rs 2016 as monthly allowance from their mother such that seema gets 1/2 og what huma gets and hubna gets 1 2/3 times seemas share how much do the three sisters get individually
Answer:
huma's share= Rs.864
Seema's share= Rs.432
Hubna's share= Rs.720
Step-by-step explanation:
Considering 'x' as the share of huma
Therefore , Seema's share will be x/2
And Hubna's share will be 5/3 * x/2 => 5x/6
Total money given in the problem is Rs.2016
In order to find the share of individual, we first have to determine 'x' variable by taking the sum of all shares.
x+x/2+5x/6=Rs.2016
(6x+3x+5x)/6=2016
14x/6=2016
x=2016 * 6/14
x=864.
Therefore,huma's share 'x' will be Rs.864
Seema's share will be = x/2 = Rs.432
And Hubna's share will be = 5x/6= Rs.720
The fraction
17
100
can be written as which decimal?
Answer:
.17
Step-by-step explanation:divide 17 by 100 hope this helps god bless
Answer:
0.17
Step-by-step explanation:
A projectile is fired straight upward with an initial velocity of 400 feet per second. The height of the projectile, h(t), if represented by the function h(t)=-16t^2+400t, where t is the time in seconds. How long does it take the projectile to reach the maximum height?
Taking into account the definition of maximum, minimum and vertex of a quadratic function, it takes 12.5 seconds for the projectile to reach maximum height.
A quadratic function is defined in the form:
y= f (x) = ax² + bx + c
Every quadratic function has a maximum or a minimum, which is the vertex of the parabola. If the parabola has an upward concavity, the vertex corresponds to a minimum of the function; whereas if the parabola has concavity downwards, the vertex will be a maximum.
That is, if the coefficient a is positive the parabola is concave and the vertex will be a minimum of the function, while if a is negative the parabola will be convex and the vertex is a maximum.
The maximum or minimum is reached in [tex]xv=\frac{-b}{2a}[/tex]
The maximum or minimum value of y is obtained by evaluating the function at xv, this is, f (xv).
In this case, the function is:
h(t)= -16t² + 400t
where t is the time in seconds
Being a = -16 and b = 400, the value of a is negative, so the vertex will be the maximum.
You want to know the time it takes for the projectile to reach the maximum height, that is, the maximum in t. That is, you must calculate t using the expression: [tex]t=\frac{-b}{2a}[/tex]
So: [tex]t=\frac{-400}{2x(-16)}[/tex]
Solving:
[tex]t=\frac{-400}{-32}[/tex]
t= 12.5 seconds
It takes 12.5 seconds for the projectile to reach maximum height.
Learn more about cuadratic function with this examples:
https://brainly.com/question/17096336?referrer=searchResultshttps://brainly.com/question/10465771?referrer=searchResultshttps://brainly.com/question/19725910?referrer=searchResultshttps://brainly.com/question/268775?referrer=searchResultsWhich animal shelter has the dog that weighs the least?
A)- shelter A
B)- shelter B
C)- Both shelters have a dog with the lowest weight of 8 pounds.
D)- Both shelters have a dog with the lowest weight of 10 pounds.
WILL GIVE BRAINLIEST ANSWER IF YOU ANSWER RIGHT!!!
Answer:
A_A_A_A_A_A_A_A_A_A_A_A_A_A_Step-by-step explanation:
on the box chart it shows that shelter A has the lightest dog
hope i helped :D
Answer:
shelter A. shelter B. Both shelters have a dog with the lowest weight of 8 pounds.
Step-by-step explanation:
Hope this helps :)
If you have a box of candy that is 8 inches long 5 inches wide and 2 inches tall how much space do you have for candy?
Answer:
you would have 80 units of space
Step-by-step explanation:
to find out how much volume there is you have to multiply the base x the width x the height so that would be 8x5x2 and 8x5 is 40 and 40x2 is 80
The box has a volume of 80 cubic inches, determined by multiplying its dimensions: length (8 inches), width (5 inches), and height (2 inches).
To determine the space available for candy in the given box, we need to calculate the volume of the box. The volume of a rectangular box can be found by multiplying its length, width, and height. Here, the box measures 8 inches in length, 5 inches in width, and 2 inches in height.
To find the volume, use the formula:
Volume = Length × Width × Height
In this case, the volume is:
Volume = 8 inches × 5 inches × 2 inches = 80 cubic inches
Therefore, the box has 80 cubic inches of space available for candy.
3. The annual per capita consumption of fresh bananas in the United States can be approximated by a normal distribution, with a mean of 10.4 pounds and a standard deviation of 3 pounds. What is the largest annual per capita consumption of bananas that can be in the bottom 5 % of consumption
Answer:
The largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb
Step-by-step explanation:
Given
μ = Mean = 10.4 lb
σ = Standard deviation = 3 lb
Using a confidence level of 90%,
We'll need to first determine the z value that correspond with bottom 5% of consumption of banana
α = 5%
α = 0.05
So,
zα = z(0.05)
z(0.05) = -1.645 ----- From z table
Let x represent the largest annual per capita consumption of bananas
The relationship between x and z is
x = μ + zσ
By substitution;
x = 10.4 + (-1.645) * 3
x = 10.4 - 4.935
x = 5.465
Hence, the largest annual per capita consumption of bananas in the bottom 5% of consumption is 5.465 lb
Can repeating decimals be written as a fraction?
Answer:
yea i think yea yes yes yes yes
Final answer:
Yes, repeating decimals can be expressed as fractions using a simple algebraic equation.
Explanation:
Yes, repeating decimals can be expressed as fractions. To represent a repeating decimal as a fraction, you can use a simple algebraic equation. Let's take an example:
Consider the repeating decimal 0.3333... Now, let x be the number we want to express as a fraction. We can multiply both sides of the equation by 10 in order to move the decimal point to the right and eliminate the repeating part:
x = 0.3333...
10x = 3.3333...
Now, we subtract the two equations to eliminate the repeating part:
10x - x = 3.3333... - 0.3333...
Combining like terms:
9x = 3
Finally, dividing by 9 gives us the fraction representation of the repeating decimal:
x = 3/9 = 1/3
I need help asap )/)/)/)
Answer:
$49.20
Step-by-step explanation:
15y − 1 = 11 2 y + 2 What is the solution?
Answer:
y = 6/19 = 0.316
Step-by-step explanation:
Saw this on a website
A triangle has sides of 15 and 27. The measurement of the longest side is missing.
Ted says that one possibility for the unknown side length is 40. Do you agree with Ted? Why or why not?
Answer:
Step-by-step explanation:No if you use soh cah toa