Answer:
gg ≤ 4
Step-by-step explanation:
Total cost(gg) = $65 + ($5/mo)(gg) = $85
Ths reduced to $85 - $65 = ($5/mo)(gg), which returns gg = 4
The correct answer is an inequality: gg ≤ 4
Answer:
Inequality = 5g+65<85 Anwser = g<4
Step-by-step explanation:
A study is done to find the 95% confidence interval for the difference in means between the ACT scores between two schools in a given city. One school had a random sample of 39 students had a sample mean of 25.90 with a sample standard deviation of 3.49. The second school had a random sample of 37 students had a sample mean 27.70 with a sample standard deviation of 2.47. What is the lower bound of the 95% confidence interval for the difference in means
Solution :
95% confidence interval for the difference between the means of ACT scores between two schools, is given by :
[tex]$[(\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
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.
Help me This is khan academy so plz help
Answer:
C
Step-by-step explanation:
:)
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.
2. How many squares are in figure 10? Explain how you know.
Answer:
We determined that the 10th figure will have 45 shaded squares. That means 100 – 45 = 55 squares will be unshaded
Step-by-step explanation:
hope this helps
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
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....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. 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:
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Factor 32x−15 . If the expression cannot be factored, write cannot be factored.
Step-by-step explanation:
540 espero que que ayude UWU
Choose all the factor pairs of 12.
A. 1,12
B. 2,6
C. 3,4
D. 5,7
E. 6,6
What is the difference of the whole number and the mixed number below? 8-2 7/8 A. 6 7/8 B. 6 1/8 C. 5 7/8 D. 5 1/8
Answer:
D. 5 1/8
Step-by-step explanation:
First, convert the mixed number into an improper fraction
8-2 7/8 = 8- 23/8
Calculate the difference
8-23/8 = 41/8
Simplify the fraction
41/8 = 5 1/8
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:
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.
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!
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.
Ling's elementary school principal wants to hire some new teachers. 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job. There is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job. How many different ways can Ling's principal hire new teachers?
Answer:
Ling's principal can hire new teachers in 54 different ways.
Step-by-step explanation:
Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:
6 x 3 x 3 = X
18 x 3 = X
54 = X
Therefore, Ling's principal can hire new teachers in 54 different ways.
3. What is area?
A. The amount of units around a figure
B. The range of colors in a painting
C. The amount of square units inside of a figure
Answer:
c is the answer
hope this helps
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
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 the answer pls answer
How many fifths must be added to 3.4 to total 4?
Please Help Immediately
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
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!
Use the following number line to determine if the expressions are true or false.
A 0 B
<-------------l------------------l------------------l------------------l------------------l------------------l---------------->
true false
a > b [] []
lal > lbl [] []
a > lbl [] []
(the lines around the B and the A matter {for some reason}]
PLEASE HELP ME
Answer:
IT's a < b True /a/ =0 True /a/ < /b/ True
Step-by-step explanation:
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:
The Sine Function
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Plot the data on a scatter plot. Produce a sine regression model for the data. Round the values for a a, b, c, and d to the nearest 0.0001. Using the sine regression model predict what the temperature would be given y(30). Analyze your prediction and explain why your prediction may or may not be accurate. If it might not be accurate, explain what might make the information more accurate.
a. Accurate, nothing would help it be more accurate.
b. May not be accurate, weather is charging all the time; Information from various states would help make the information more accurate.
c. Accurate, it is easily predictable.
d. May not be accurate, information was taken over 2 year period; More information
from previous years would help the prediction be more accurate.
Please select from the best answers from choices provided
Answer:
D. May not be accurate, information was taken over 2 year period; More information from previous years would help the prediction be more accurate.
Step-by-step explanation:
I calculated it logically
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
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
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