Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = 8x
Let the third number = x + 100
x + 8x + x + 100 = 480 Combine like terms
10x + 100 = 480 Subtract 100
- 100 -100
10x = 380 Divide by 10
x = 380/10
x = 38
First number = 38
Second number = 8*38 = 304
The third number = 38 + 100 = 138
QUESTION 2.
Trevor bought new sneakers originally listed for $64.99. They are 15% off. Which equation can be used
to find the amount Trevor will save?
A. X= 1.15(64.99)
B. x = 15(64.99)
C. x = .85(64.99)
D. x = .15(64.99)
Answer:
c
Step-by-step explanation:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Diana can decorate 15 cookies in an hor; Jamie can decorate 15 cookies in two hours. How many hours would it take to decorate 60 cookies if they worked together?
Answer:
2.67 hours
Step-by-step explanation:
Diana: 15 cookies per hour
Jamie: 7.5 cookies per hour
15 + 7.5 = 22.5
22.5 cookies per hour
[tex]\frac{60}{22.5} =\frac{y}{1}[/tex]
22.5 · y = 60 · 1
22.5y = 60
22.5y ÷ 22.5 = 60 ÷ 22.5
[tex]y=2\frac{2}{3}[/tex]
[tex]2\frac{2}{3}[/tex] rounded to the nearest hundredth is 2.67
A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means
Solution :
95% confidence interval for the difference between the means of ACT scores between two schools, is given by :
[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]
[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]
[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]
[tex]$n_1=39, \ \ n_2=37$[/tex]
M.E. , Margin of error,
[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]
[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]
[tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]
= 9.222
s = 3.03
[tex]$t_{74,0.05} = 1.99$[/tex]
[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]
= 1.4
Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]
= [-3.2, -0.4]
Therefore, the lower bound is -3.2
Choose all the factor pairs of 12.
A. 1,12
B. 2,6
C. 3,4
D. 5,7
E. 6,6
based on the graphic, what can be inferred about the relationship between braking distance and tread depth of tires ?
Answer: A
Step-by-step explanation:
Bet u can’t solve this
Answer:
Step-by-step explanation:
Assuming you're solving for p:
[tex]m=2^{-1} *2^p(2^p-1)[/tex]
Let [tex]y=2^p[/tex]
Now we can re-write the equation with [tex]y[/tex] instead of [tex]2^p[/tex].
[tex]m=\frac{1}{2} y(y-1)[/tex]
[tex]2m=y^2-y[/tex]
[tex]y^2-y-2m=0[/tex]
Use the quadratic formula to get:
[tex]y = \frac{1+\sqrt{1+8m} }{2}[/tex]
or
[tex]y = \frac{1-\sqrt{1+8m} }{2}[/tex]
Therefore, using natural log and log rules:
[tex]2^p = \frac{1+\sqrt{1+8m} }{2}[/tex], [tex]ln(2^p)= ln(\frac{1+\sqrt{1+8m} }{2})[/tex],[tex]pln(2) = ln(\frac{1+\sqrt{1+8m} }{2})[/tex], [tex]p = \frac{ln(\frac{1+\sqrt{1+8m} }{2})}{ln(2)}[/tex]
or
[tex]2^p = \frac{1-\sqrt{1+8m} }{2}[/tex], [tex]ln(2^p)= ln(\frac{1-\sqrt{1+8m} }{2})[/tex], [tex]pln(2) = ln(\frac{1-\sqrt{1+8m} }{2})[/tex], [tex]p = \frac{ln(\frac{1-\sqrt{1+8m} }{2})}{ln(2)}[/tex]
If I haven't made any mistakes this should be correct!
Write an integer that represents the situation. Do not type any units, labels, or spaces on your answer will be scored as incorrect. The running back gained five yards on a play in football.
Answer:
The integer that represents the situation is 5.
Step-by-step explanation:
When you gain 5 yards, that is considered a positive increase in value.
You can either put 5 or +5 because they indicate the same positive value.
A cell phone box in the shape of a rectangular prism is shown.
The height of the box is 4 cm.
The height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included.
Which is closest to the total surface area of the new box?
A) 707 square centimeters
B) 479 square centimeters
C) 959 square centimeters
D) 738 square centimeters
Answer: it’s 959cm squared.
Step-by-step explanation:
The total surface area of the new box will be C) 959 square centimeters.
What is the surface area of this rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The surface area of this rectangular prism = 2( lb + bh + hl)
We are given that height of the box is 4 cm.
Also that height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included.
The surface area of this rectangular prism = 2( lb + bh + hl)
= 2(18 x 13.5 + 13.5x 7.5 + 18 x 7.5)
= 958.5
= 959 cm sq.
Therefore, the correct option is C.
Learn more about a rectangular prism;
https://brainly.com/question/21308574
#SPJ2
Help. No links. You need to find volume. Ty :3
Answer:
I can't see the image but to help the formula is volume=LENGTH x Width x Height :)
Step-by-step explanation:
Choose the correct order when finding the space between the cylinder and cone. I find the difference of the volumes Il find the volume of the cone III. find the volume of the cylinder
Answer:
D. III, II, then I
Step-by-step explanation:
To find the space between the cylinder and the cone, the first thing to do is: find the volume of the cylinder => next is to find the volume of the cone => then look for the difference in volume between the cylinder and the cone which will give us the space between the cylinder and the cone.
The correct order would be:
III, II, then I
Pablo's home town temperature is about 0.55% as hot as the surface of the sun. What is 0.55% written as a decimal number?
A. 0.0055
B. 0.055
C 0.55
D. 5.5
PLEASE HURRY
Answer: A
Step-by-step explanation:
Percent means 'per 100'
So, 0.55% means 0.55 per 100 or simply 0.55/100
If you divide 0.55 by 100, you'll get 0.0055
19
Adam, Linda and Rytis share an amount of money,
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.
What fraction of the amount of money does Linda gek?
Answer:
3/10
Step-by-step explanation:
From the question :
Let amount rytis get = x
Hence, amount Linda gets = 3x
Hence, amount Adam gets = 2 times what Linda gets = 2(3x) = 6x
Hence, total amount shared :
x + 3x + 6x = 10x
Amount Linda got = 3x
Therefore, fraction Linda gets = Amount gotten by Linda / total amount = 3x / 10x = 3/10
Hence, fraction gotten by Linda = 3/10
The fraction of the amount of money does Linda gets is 3/10 and this can be determined by using the arithmetic operations.
Given :
Adam, Linda, and Rytis share an amount of money, Linda gets three times as much money as Rytis gets. Linda gets half as much money as Adam gets.The following steps can be used in order to determine the fraction of the amount of money does Linda get:
Step 1 - Let the total amount of money Rytis get be 'x'.
Step 2 - So according to the given data, the total money Linda has is 3x.
Step 3 - According to the given data, the total money Adam has is 2(3x).
Step 4 - So, the total amount of money shared is:
x + 3x + 6x = 10x
Step 5 - So, the fraction of the amount of money does Linda get is:
[tex]\rm =\dfrac{3x}{10x}[/tex]
[tex]= \dfrac{3}{10}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/25834626
The mean weight of cherry tomatoes on a farm is about 57 grams. The farmer is interested in testing a new type of fertilizer. They use the fertilizer on a particular patch and after the harvest, the mean weight of the tomatoes is 62 grams. They perform a t-test, with the null hypothesis being that the mean of all tomatoes grown with the new fertilizer is equal to 57 grams, and the alternative is that the mean is greater than 57 grams. There is a chance that they will mistakenly conclude the fertilizer improves the size of tomatoes when, in fact, it does not and they just got lucky with this particular crop. They wish to make sure the probability of making this mistake is no more than 8%. Below are four different p-values that they might get from their analysis. For which p-value should they reject the null hypothesis?
a. 0.10
b. 1.00
c. 0.15
d. 0.07
Answer:
The weight of a tomato depends on the variety of tomato. There are cherry, plum, grape, roma, and beef tomatoes of various sizes. The following tables shows different types of tomatoes, along with the average weight (in grams and ounces), the number of tomatoes per kilogram, and the number of tomatoes per pound.
Step-by-step explanation:
I need to know 1 help me with the area
ASAP
Answer:
Hello! question 1: area for question is 547.1136 round if your teacher wants you to. circumference for this question: 82.896 round if teacher wants you to.
Andre has a container that is 10 inches wide 8 inches high and 14 inches deep he wants to fill the container with packages that are 5 inches wide 4 inches high 2 inches deep what is the greatest number of packages that he could put in the container
Average rate change to the nearest hundredth can be which answer ?
Answer:
0.47
Step-by-step explanation:
f(x) = (x - 2)^(1/3)
average rate of change from x = -2 to x = 4 is [f(4) - f(-2)]/[4 - (-2)]
f(-2) = (-4)^(1/3) = -1.587401
f(4) = 2^(1/3) = 1.25992
[f(4) - f(-2)]/[4 - (-2)] = [1.25992 - (-1.587401)]/[4 - (-2)] = 0.47
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
11, 6, 1, ...
Answer:
Step-by-step explanation:
Find the volume of the three dimensional figure in terms of x
Answer:
[tex]V=6x^3+3x^2[/tex]
Step-by-step explanation:
The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.
We need to find the volume of the three dimensional figure.
The volume of a cuboid is given by :
V = lbh
Substitute all the values,
[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]
So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].
Which statements are true about the rectangular pyramid below? Select three options.
A rectangular pyramid. The rectangular base has a length of 6 centimeters and width of 4 centimeters. 2 triangular sides have a base of 6 centimeters and height of 6 centimeters. 2 triangular sides have a base of 4 centimeters and height of 4.6 centimeters.
The area of the base is 24 cm2.
There are four lateral faces.
All the lateral faces are congruent.
The total surface area of the figure is 66.4 cm2.
At least one of the lateral faces has an area equal to 24 cm2.
Mark this and return
there are four lateral faces
Answer:
1
2
4
Step-by-step explanation:
What is the mean of this data? 13, 16, 3, 27, 32.
Answer:18.2
Step-by-step explanation: you add them up and and divide them
What is the solution to the equation?
Answer:
3/4
Step-by-step explanation:
2/3a=1/3+1/6
2/3a=3/6
a=1/2x3/2
a=3/4
Answer:
[tex]a = \frac{3}{4} [/tex]Step-by-step explanation:
[tex] \frac{2}{3} a - \frac{1}{6} + \frac{1}{3} [/tex][tex] \frac{2}{3} a = \frac{1}{3} + \frac{1}{6} [/tex][tex] \frac{2}{3} a = \frac{3}{6} [/tex][tex]a = \frac{3}{2} \times \frac{1}{2} [/tex][tex]a = \frac{3}{4} [/tex]Hope it is helpful....state if the given functions are inverses
NO LINKS!!!! Part 1
Step-by-step explanation:
3:
h(x)=(-3x-15)/5
let y=(-3x-15)/5
interchanging role of x &y
x=(-3y-15)/5
5x+15=-3y
y=-(5x+15)/3
h-1(x)=-(5x+15)/3
not
equal to f(x)=(-3x-6)/4
Given function are not function of each other .
4:
g(x)=2/3x-2/3
let
y=2/3(x-1)
interchanging role of x &y
x=2/3(y-1)
3/2x+1=y
g-1(x)=3/2x+1
not equal to f(x)=½x+1
Given function are not function of each other .
Problem 1
Answer: You are correct. They are inverses--------------------
Explanation:
One way to see if we have an inverse pair or not is to compute these two composite functions
f(g(x))g(f(x))If both result in x, and just that, then we have shown that they are inverses of one another.
f(x) = (2x)/3
f(x) = (2/3)x
f(g(x)) = (2/3)*g(x)
f(g(x)) = (2/3)*(3/2)x
f(g(x)) = x
The steps to show that g(f(x)) = x are very similar
g(x) = (3/2)x
g(f(x)) = (3/2)*f(x)
g(f(x)) = (3/2)*(2/3)*x
g(f(x)) = x
So this verifies that you have the correct answer.
======================================================
Problem 2
Answer: These functions are inverses of each other.--------------------
Explanation:
We'll use the same idea as problem 1
f(x) = 2 - (3/4)*x
f(g(x)) = 2 - (3/4)*( g(x) )
f(g(x)) = 2 - (3/4)*( (-4/3)x + 8/3 )
f(g(x)) = 2 - (3/4)*(-4/3)x - (3/4)*(8/3)
f(g(x)) = 2 + x - 2
f(g(x)) = x
So far so good, but we need to check the other way around as well
g(x) = (-4/3)x + 8/3
g(f(x)) = (-4/3)*( f(x) ) + 8/3
g(f(x)) = (-4/3)*( 2 - (3/4)*x ) + 8/3
g(f(x)) = (-4/3)*(2) + (-4/3)*(-3/4)*x + 8/3
g(f(x)) = -8/3 + x + 8/3
g(f(x)) = x
This verifies that f(x) and g(x) are inverses of each other.
Problems 3 and 4 will have similar steps.
100 points!!!
A triangular prism has a height of 5.5 yards and a triangular base with the following dimensions.
What is the surface area of the prism?
280 yd 2
340 yd 2
410 yd 2
100 yd 2
Answer:
340
Step-by-step explanation:
Help me This is khan academy so plz help
Answer:
C
Step-by-step explanation:
:)
Factor 32x−15 . If the expression cannot be factored, write cannot be factored.
Step-by-step explanation:
540 espero que que ayude UWU
Help me
Brandee wants to add new wallpaper to her wall around the window. The inner light blue rectangle represents the window and the outer orange rectangle represents the wall around the window. What is the area of the wall around the window, or the orange rectangle around the blue rectangle? Select the correct number from the drop down menu to show the area of the wall around the window.
A= Choose... ft2
Answer:
What are the answer choices?
Joan’s Nursery specializes in custom-designed landscaping for residential areas. The estimated labour cost associated with a particular landscaping proposal is based on the number of planting of trees, shrubs, and so on to be used for the project. For cost-estimating purposes, managers use two hours of labour time for the planting of a medium-sized tree. Actual times from a sample of 10 planting during the past month follow (times in hours).
1.7 1.5 2.6 2.2 2.4 2.3 2.6 3.0 1.4 2.3
Test to see whether the mean tree-planting time differs from two hours.
State the null and alternative hypothesis
Answer:
H0 : μ = 2
H1 : μ > 2
We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.
Step-by-step explanation:
Given :
X = 23.71,17.79,29.87,18.78,28.76
Sample mean, xbar = Σx / n = 22/10 = 2.2
Standard deviation, s = 0.516 (calculator)
H0 : μ = 2
H1 : μ > 2
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
n = 10
Test statistic :
(2.2 - 2) ÷ (0.516/sqrt(10))
0.2 / 0.1631735
Test statistic = 1.23
Using the Pvalue from Tscore calculator, df = n - 1 = 10 - 1 = 9
Pvalue(1.23, 9) = 0.1249
Since, Pvalue > α ; We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.
A litter of kittens consists of two gray
females, one gray male, two black
females, and two black males. You
randomly pick one kitten. The kitten is
gray or male.
the kitten would be gray
Jen is planning a trip to France. The exchange rate is 3 Euros for $4. How many Euros will she get if she exchanged $28? DO NOT FORGET THE UNITS!