Answer:
101.9
Step-by-step explanation:
Because to find the mean, you need to add up all the numbers. Then divide by the amount of numbers you added.
A cookie recipe that calls for 2 2/3 cups of sugar will make 32 cookies however you only have 1 2/3 cup of sugar and you have to adjust your recipe what fraction of the recipe
Explanation is in the file
tinyurl.com/wpazsebu
Which of the following is an equation of the line with slope 5 that passes through the
point (1, - 4)
Answer:
y=5x-9
Step-by-step explanation:
You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:
y=5x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(1,-4). When x of the line is 1, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).
So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.
The equation of the line that passes through the point (1,-4) with a slope of 5
is
y=5x-9
Stable cost reporting in a manufacturing setting is typically a sign that operations are running smoothly. The accounting department at Rockwell Collins, an avionics manufacturer, analyzes the variance of the weekly costs reported by two of its production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.3 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use α = 0.10 (to 2 decimals).
Answer:
Following are the responces to the given question:
Step-by-step explanation:
For this issue the statistical programme performance is:
Two overview hypothesis test sample variance:
[tex]\to \sigma_1^2[/tex] =Population variance 1
[tex]\to \sigma_2^2[/tex] = Population variance 2
[tex]\to \frac{\sigma_1^2}{\sigma_2^2}=[/tex] Two variance ratios
[tex]\to H_0: \frac{\sigma_1^2}{\sigma_1^2}=1\\\\\to H_A: \frac{\sigma_1^2}{\sigma_1^2}\neq 1[/tex]
Following are the result of the Hypothesis test: [tex]Ratio \ \ \ \ \ \ \ \ \ \ Num.DF \ \ \ \ \ \ \ \ \ \ Den.DF \ \ \ \ \ \ \ \ \ Sample\ \ Ratio\ \ \ \ \ \ F-Stat \ \ \ \ \ \ \ P-value\\\\[/tex]
[tex]\frac{\sigma_1^2}{\sigma_1^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.3478261 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.3478261 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.1091[/tex]
Test statistic [tex]= 2.3478 \approx 2.35[/tex]
P-value > 0.10
The null hypothesis should not be rejected.
Solve: 9x^2-49=0
A. -9/49, 9/49
B. -49/9, 49/9
C. -3/7, 3/7
D. -7/3, 7/3
Answer:
D. -7/3, 7/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
9x² - 49 = 0
Step 2: Solve for x
[Addition Property of Equality] Isolate x term: 9x² = 49[Division Property of Equality] Isolate x term: x² = 49/9[Equality Property] Isolate x: x = ±7/3Leslie placed this ad in Collector Car Monthly. 1957 Chevrolet Nomad station wagon. Tropical Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted, rebuilt transmission, restored two-tone interior. Mint! Moving, sacrifice, $52,900. 555-4231
Complete Question:
Leslie placed this ad in Collector Car Monthly.
1957 Chevrolet Nomad station wagon. Tropical
Turquoise, 6 cyl. auto, PS, PW, AM/FM, repainted,
rebuilt transmission, restored two-tone interior.
Mint! Moving, sacrifice, $52,900. 555-4231
(a) If the publication charges $48 for the first three lines and $5 for each extra line, how much will this ad cost Leslie?
(b) b. Ruth buys the car for 8% less than the advertised price. How much does she pay?
(c) Ruth must pay her state 6% sales tax on the sale. How much must she pay in sales tax?
Answer:
[tex]Total = \$53[/tex]
[tex]Ruth = \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
Step-by-step explanation:
Given
[tex]Ad = 4\ lines[/tex]
[tex]Charges: \$48[/tex] --- First 3 lines
[tex]Additional: \$5[/tex] -- Extra lines
Solving (a) : Determine the total charge
The ad has 4 lines. This means that 3 of the 4 lines will be charged at $48 (in total) while the extra line will be charged at $5 per line
So, the total charge is calculated as:
[tex]Total = 3\ lines + 1\ line[/tex]
[tex]Total = \$48 + 1 * \$5[/tex]
[tex]Total = \$48 + \$5[/tex]
[tex]Total = \$53[/tex]
Solving (b): How much does Ruth pay?
From the ads, the price of the car is:
[tex]Price = \$52,900[/tex]
And Ruth pays 8% less.
This means that she pays 92% (i.e. 100% - 8% = 92%)
So, the calculation is:
[tex]Ruth = 92\% * Price[/tex]
[tex]Ruth = 92\% * \$52900[/tex]
[tex]Ruth = \$48668[/tex]
Solving (c): The sales tax
[tex]Sales\ Tax = Sales\ Tax\% * Amount\ Paid[/tex]
[tex]Sales\ Tax = 6\% * \$48668[/tex]
[tex]Sales\ Tax = \$2920.08[/tex]
x² + 3x -4 = 0
Factor the quadratic equation
Answer:
(x-1)(x+4)
Step-by-step explanation:
[tex]x^2+3x-4\\x^2-x+4x-4\\x(x-1) 4(x-1)\\(x-1)(x+4)[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x. (7x-12)° 60° O here to search
Answer:
x = 6
Step-by-step explanation:
To find x, create an equation and solve for x.
60° + 90° + (7x - 12)° = 180° (sum of triangle theorem)
60 + 90 + 7x - 12 = 180
Add like terms
138 + 7x = 180
7x = 180 - 138
7x = 42
x = 42/7
x = 6
13x = 17 divided by 13
Answer:
x=17/13
Step-by-step explanation:
pretty sure you just shift x alone by itself
Answer: [tex]17/13=1.30769231[/tex]
Step-by-step explanation:
An investment of $500 increases at a rate of 12.5% per year. What is the value of the investment after 30 years? Round to the nearest dollar.
Answer:
Here's the equation:
0.125(500) + 500
But because it is 30 years:
30(0.125(500)) + 500
3.75(500) + 500
We can make it simpler:
4.75(500)
2375
You will have $2375
Step-by-step explanation:
I need help ASAP will mark the brainliest
Answer:
First answer choice
Step-by-step explanation:
A seventh-grade student forgets to bring his lunch money on several occasions. Each time he forgets his lunch money, he has to charge his cafeteria account by .15.
Solve the following equation.
4(−3.15)=
Explain what this product means in terms of the cafeteria account.
Answer:
-12.6
Step-by-step explanation:
A quarter is worth 1/4
of a dollar. Hayley needs to exchange dollar bills to get
quarters to do her laundry. How many quarters will she
get for $13?
Answer:
52
Step-by-step explanation:
52x0.25=13
Answer:
52 quarters
Step-by-step explanation:
13 dollars x 100 cents
= 1,300 cents
1,300 cents / 25 cents
= 52 quarters
h (5x)=2x^2 - 5
find h(5x)
Answer:
5x
=5*x
=x+x+x+x+x
=5x
Step-by-step explanation:
=5*x
=x+x+x+x+x
=5x
What is the median of this data set 2 2 5 6 6 8 9 11?
A) 6
B)5
C)7
D) 8
Answer:
6 is your answer since its in the middle.
Step-by-step explanation:
Find the measurement of side QR.
Answer:
Step-by-step explanation:
Another similar triangle. then the sides that are the same are:
r /d = p / b
r =30
d = 72
b = 60
p = QR
30 / 72 = QR / 60
( 30 / 72 ) 60 = QR
1800 / 72 = QR
25 = QR
:) glad they makes these work out to easy numbers.. I mean not some long decimal
decoration of line passing through PT (3 ,2) close and perpendicular to line y is equals to X is
Answer:
y = -x+5
Step-by-step explanation:
The equation of the line in point slope form is expressed as;
y - y0 = m(x-x0)
Get the slope
Given the equation of the line as y = x
The slope of the line is m = 1
The slope of the line perpendicular =M =-1/1
M = -1
Using the slope M = -1 and the point (3, 2) to get the required equation;
y - y0 = m(x-x0)
y - 2 = -1(x-3)
y - 2 = -x+3
y+x = 3 + 2
y = -x + 5
Hence the required equation is y = -x+5
In a few sentences, describe what this weather map tells you about the weather.
a weather map of Florida with an L in northern Florida and an H in southern Florida
The weather map of Florida with an L in northern Florida and an H in southern Florida indicates that there is a low-pressure system in the north and a high-pressure system in the south.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
Given:
In a few sentences, describe what this weather map tells you about the weather.
The map is given in the attached image.
The weather map of Florida with an L in northern Florida and an H in southern Florida indicates that there is a low-pressure system in the north and a high-pressure system in the south.
This pattern could result in potentially cooler temperatures, increased chances of precipitation, and cloudy skies in the north, while the south may experience warmer temperatures, clear skies, and drier weather conditions.
Therefore, the required meaning of L and H is given above.
To learn more about the expression;
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The bases of a trapezoid are 8 yards and 16 feet. The height of the trapezoid is 12 feet. What is area of the trapezoid in square feet?
Answer:
240 sq ft
Step-by-step explanation:
First turn the 8 yards to feet my multiplying by 3. You get 24.
Then
Add the bases together to get 40 Divide them by the number of bases (2) to get 20
Multiply the 20 by the height, (12) to get 240
240 sq feet
Mark me as brainliest if this helps!
Which expression is equivalent to (73)-2
1/7.7.7.7.7.7
7
1/7
-1/7.7.7.7.7.7
Answer:
73*-2 =-146 you have to multiply the 73 to the -2
Step-by-step explanation:
30 POINTS FOR 1 QUESTION QUESTION 10
Answer:
c
Step-by-step explanation:
how can u find the number of inches in one mile
Answer:
63360
Step-by-step explanation:
==> 5280 ft = x inch. ==> x = 12*5280 = 63360 inch. Then, there are 63,360 inches in one mile.
Answer:
There are 63,360 inches in one mile.
Step-by-step explanation:
We multiply by the conversion factor:
1 mile (5280 feet/1 mile)(12 inches/1 foot)= 63,360 inches per mile.
Please help me I’m struggling
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
Produce Price per Pound
Onlons $0.75
Yellow Squash $0.99
Spinach $5.00
Potatoes
$2.50
Selena has $17. What is the greatest amount of spinach she can buy?
The greatest amount of spinach that Selena can buy is
pounds.
Answer:
3 lbs
Step-by-step explanation:
can i get brainliest plz
What number is 0.01 less than 31?
30.99
30.9
30.09
30
Answer:
30.99
Step-by-step explanation:
31 - 0.01 = 30.99
A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?
Answer:
4 adaults
Step-by-step explanation:
A box contains 4 red marbles, 9 white marbles, and 8 blue marbles. If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
Answer:
8/21
Step-by-step explanation:
Add the number of marbles : 4+9+8= 21
Then how many are blue: 8
Answer 8/21. Can't be simplified
0.38
Pls help me i will mark brainliest
The bill cost is directly proportional to the calling time.
Is the cellphone bill model directly proportional?
In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:
k = y / x
Where k is the constant of proportionality, in US dollars per minute.
The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:
k₁ = 12 / 80
k₁ = 3 / 20
k₂ = 9 / 60
k₂ = 3 / 20
There, the bill cost is directly proportional to the calling time.
To learn more on direct proportion models: https://brainly.com/question/20400984
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Help meeee.. I’ll mark you brainlist and Uc you scam then i report lol but helpppp me
Answer:
70 units²
Step-by-step explanation:
Area of the figure = area of rectangle + area of triangle
= L*W + ½*bh
L = 10
W = 5
b = 5
h = 18 - 10 = 8
Substitute:
Area of the figure = 10*5 + ½*5*8
= 50 + 20
= 70 units²
Find the volume 11yd 6yd 5yd
Answer:
(Base)Height
(L*w) H
(5*6)11
(30)11
330u^3
Step-by-step explanation:
Formula, substitution, and answer as shown above
Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891.
What transformation does this value of lambda suggest?
a. With a lambda close to 1. it looks like we should take the square root of y
b. With a lambda close to 1. it does not look like we need to re-express the data.
c. With a lambda close to 1, it looks like we should take the log of y
d. With a lambda close to 1. it looks like we should take the log of x.
Answer:
The answer is "Option b".
Step-by-step explanation:
Calculating the common Box-Cox Transformation:
[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]
[tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]
[tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]