Answer:
12
Step-by-step explanation:
3*4=12
Determine the equation of the inverse of y = 7x + 2
Answer:
x=7y+2
Step-by-step explanation:
switch the letters
Answer: y=(x-2)/7
Step-by-step explanation:
To find the inverse of the equation, you want to replace all the x with y and all the y with x. Our equation would be:
x=7y+2
Now that we have our equation, we can solve for y.
x-2=7y
y=(x-2)/7
30. A certain test track for new car models is 6,720 meters long. If a car is currently of the way down
the track, how many more kilometers must it travel
to reach the end?
E. 2.24
F. 4.48
met
G. 6.72
H. 10.0
Answer: E. 2.24
Step-by-step explanation:
6720 - 6720 x 2/3
6720 - 4480
= 2,240
1 kilo = 1000 meters
2240 ÷ 1000
= 2.24
Katherine and her children went into a bakery and where they sell cupcakes for $2.50 each and donuts for $1.25 each. Katherine has $25 to spend and must buy at least 14 cupcakes and donuts altogether. If xx represents the number of cupcakes purchased and yy represents the number of donuts purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:the ration to x and b that equals c is about 3 dollars
Step-by-step explanation:
Find 548 + 224 mentally by making a ten.Put the steps in order to find the sum.224 = 2 + 22 + 200548 + 2 = 550550 + 22 = 572Г572 + 200 = 772
we have
548+224
so
224=2+22+200
548+2=550
550+22=572
572+200=772
The order in the picture is correct
Consider this expression.
(x + 5) (5 – 7)
Complete the box to show the distributive property applied to this expression.
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Find the distance between the points (-8, -3) and (-2, 5). Hint: Use the Pythagorean theorem.
Answer:
1/5
Step-by-step explanation:
Use Pythagoras theorem
Which polynomial function f(x) has a leading coefficient of 1, roots –5, 3, and 6 with multiplicity 1, and root –2 with multiplicity 3?
f(x) = 3(x + 2)(x + 5)(x – 3)(x – 6)
f(x) = 3(x – 2)(x – 5)(x + 3)(x + 6)
f(x) = (x + 2)(x + 2)(x + 2)(x + 5)(x – 3)(x – 6)
f(x) = (x – 2)(x – 2)(x – 2)(x – 5)(x + 3)(x + 6)
Its C
The polynomial is:
\(p(x) = 1*(x + 5)*(x - 3)*(x - 6)*(x + 2)*(x + 2)*(x + 2)\)
Third option is the correct one.
How to identify the correct polynomial?A polynomial of degree n, with leading coefficients a and known roots is:
\(P(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)\)
If the leading coefficient is 1, then:
a = 1
And the roots are:
-5, 3, and 6 with a multiplicity of 1 (so these appear only one time).
-2 with a multiplicity of 3 (so that root appears 3 times).
Then the polynomial is:
\(p(x) = 1*(x + 5)*(x - 3)*(x - 6)*(x + 2)*(x + 2)*(x + 2)\)
This is the third option, so that is the correct option.
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How do I work out 5 divided by 102.05???
Thanks to kasey1476443 for giving me the answer. She is a HERO!!!
I have one question how do I work out 5 divided by 102.05? You can add a picture when you comment.
Answer:
0.04899559039
Step-by-step explanation:
I put it in the caculator
Answer: The answer is 20.41
Step-by-step explanation:
At Sunday’s Best Ice Cream in New Orleans, the price of Ice Cream was $4.00 for a large sundae. Due to the holidays, they are decreasing their price by 12%. What is the new price for the large sundae?
the answer is $3.88
Step-by-step explanation:
because the ice cream was $4.00 and they subtracted it by 12% which would be $4.00 minus .12 which would give you $3.88
yooo plz help asap!!! marking brainiest answer!!!
Answer:
C.
Step-by-step explanation:
You are looking for an equation that, when you input 0 for x, you get 4 for y, and when you input -5 for x, you get -1 for y.
That only works for Option C.
Hope this [sorta] helps!
Answer:
C
Step-by-step explanation:
C
Solve for x please and thank you.
Answer:
x=23.346 hope this helps
use the mean and standard deviation from the previous 2 examples to calculate a two standard devation inteval around the mean and use it to answer the following questionr: is the minority caucus justifed in their concern that a student senate with only 2 minoirites is a biased representation of the student body?
The Student Senate at a large university has 60 members, of which 20% are minorities. The probability of selecting only two minority students is 10.74%, making it surprising to have only two on the Senate. The expected number of minority students is 12, and having only two may indicate under-representation. The standard deviation of minority students is 1.94. If there were nine minority students, it would not necessarily indicate bias as it falls within the usual range of values.
Let n, the number of trials, is 60 since there are 60 students chosen to represent the entire student body in the Senate. Let p, the probability of success (i.e., selecting a minority student) on a single trial, is 0.20 since 20% of the student body is minority.
The probability of selecting only two minority students in the Senate can be calculated as P(x≤2) = P(x=0) + P(x=1) + P(x=2) = 0.1074. Therefore, there is a 10.74% chance of having only two minority students on the Senate purely by chance.
Based on the low probability in part c), it would be surprising to have only two minority members on the Senate. However, it's important to note that statistical probability alone cannot determine whether bias exists, as there may be other factors at play.
The Minority Caucus may have a reasonable complaint of under-representation, as the expected number of minority students on the Senate can be calculated as u = np = 60 * 0.20 = 12. Therefore, having only two minority students on the Senate is significantly lower than the expected number.
The standard deviation of the number of minority students selected can be calculated as σ = sqrt(np(1-p)) = 1.94.
If the Senate had nine minority students, the Minority Caucus would not have a strong case for racial bias. Assuming that the distribution of minority students selected follows a binomial distribution, the expected number of minority students would be u = np = 60 * 0.20 = 12, with a standard deviation of σ = 1.94.
Using the Empirical Rule, the usual range of values would be from u - 2σ to u + 2σ, which in this case would be from 8.12 to 15.88. Therefore, having nine minority students falls within the usual range of values, indicating that it is not necessarily a result of bias.
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--The given question is incomplete, the complete question is given
" Using the binomial distribution. A Student Senate at a large university is made up of 60 students chosen to represent the entire student body. 20% of the students at this university are minorities. When the members of the senate are selected, only two members are minority students. The Minority Caucus claims that this Senate is racially biased. They decide to use statistics to support their claim. Let x be the number of minority students who are selected for the senate. Assume the binomial probability can be used as the university has a large student population (large enough to assume independence when sampling students) What is n? What is p? Calculate the probability of the Senate being made up of so few minority students purely by chance. That is, find P(xS2) for this binomial problem: Based on your answer to part b, would you be surprised if the Senate had only 2 minority members? Why or why not? Do you think the Minority Caucus is reasonable in their complaint of under- representation? Explain. Assuming that the senate represents the entire student body, how many minority students would you expect to be selected for the senate? You will need to find u for this. There is a shortcut to find the mean for a binomial distribution shown in the text. ur Find the standard deviation of the number of minority students selected. Again, use the shortcut for finding the standard deviation for a binomial distribution, 0= Now suppose that the Student Senate has 9 minority students. Could the Minority Caucus make a case for racial bias in this case? Explain your answer using the Empirical Rul bunu need to find +20 the usual range of values and include the range of values Find the standard deviation of the number of minority students selected. Again, use the shortcut for finding the standard deviation for a binomial distribution, 0 = Now suppose that the Student Senate has 9 minority students. Could the Minority Caucus make a case for racial bias in this case? Explain your answer using the Empirical Rule (you need to find to, the "usual range" of values and include the range of values in your answer:"--
The owner of Britten's Egg Farm wants to estimate the mean number of eggs laid per chicken. A sample of 18 chickens shows they laid an average of 20 eggs per month with a standard deviation of 5 eggs per month.
(a-1) What is the value of the population mean?
20
It is unknown.
5
(a-2) What is the best estimate of this value?
Best estimate
(c)
For a 95% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)
Value of t
(d)
Determine the 95% confidence interval for the population mean. is (Round your answers to 2 decimal places.)
Confidence interval to
(e-1) Would it be reasonable to conclude that the population mean is 17 eggs?
No
Yes
(e-2) What about 18 eggs?
Yes
No
(a-1) The value of the population mean is unknown.
(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.
(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.
(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).
(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.
(e-2) It would be reasonable to conclude that the population mean is 18 eggs.
(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.
(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.
(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.
Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.
(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.
In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.
(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.
(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.
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Suppose you wanted to make an open-topped box out of a flat piece of cardboard that is 25 inches long
by 20 inches wide. You cut a square out of each corner, all the same size, then fold up the flaps to form
the box. If the box has a volume of 750 in), which could be the side length of the square that was cut
out of each corner?
Answer:
5 inches
Step-by-step explanation:
The side of the square you cut has length x.
The total length of the cardboard is 25". Once you cut the two corners, the length of the base of the box is 25 - 2x.
The total width of the cardboard is 20". Once you cut the two corners, the width of the base of the box is 20 - 2x.
The height of the box is x.
The volume of the box is
V = LWH
V = (25 - 2x)(20 - 2x)x
V = (2x - 25)(2x - 20)x
The volume is 750 cu in.
(2x - 25)(2x - 20)x = 750
Now try each value in the choices for x, and see which one works.
Try x = 3
(2(3) - 25)(2(3) - 20)(3) = (-19)(-14)(3) = 798
798 is not equal to 750, so x = 3 does not work.
Try x = 4
(2(4) - 25)(2(4) - 20)(4) = (-17)(-12)(4) = 816
816 is not equal to 750, so x = 4 does not work.
Try x = 5
(2(5) - 25)(2(5) - 20)(5) = (-15)(-10)(5) = 750
750 is equal to 750, so x = 5 does not work.
Answer: 5
Andrea ordered a pizza for dinner. She ate 1/4 of the pizza. Her brother ate 35% of the pizza. Her mom ate .10 of the pizza. How much pizza is left?
Answer: 0.3, 30%, or 3/10
Step-by-step explanation:
Andrea ate 1/4 of the pizza.
1/4 = 0.25
Her brother ate 35% of the pizza.
35% = 0.35
Her mom at 0.10 of the pizza.
1 - 0.25 - 0.35 - 0.10 = 0.3 of the pizza
0.3 = 30% = 3/10
Please help me
What’s the slope of this graph??
The slope of the line passing through the points (0, 30) and (8, 18) is -1.5.
Given is a graph of a line passing through the points (0, 30) and (8, 18).
To find the slope of the line passing through two points, you can use the formula:
slope = (y2 - y1) / (x2 - x1)
Let's use the points (0, 30) and (8, 18) to calculate the slope:
x1 = 0
y1 = 30
x2 = 8
y2 = 18
slope = (18 - 30) / (8 - 0)
= -12 / 8
= -1.5
Therefore, the slope of the line passing through the points (0, 30) and (8, 18) is -1.5.
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And the surgery says: 5 out of 7 parents think their children stay up too late
Use a ratio table to determine how many people you predict would say their children text too much of 350 parents were surveyed?
Answer:rrtewree
Step-by-step explanation:
a store sells grapes for $1.90 per pound, strawberries for $2.50 per pound and pineapples for $3.00 each. jonathan has $27 to buy fruit. he plans to buy 2 more pounds of strawberries than grapes. he also plans to buy 2 pineapples. if x represents the number of pounds of grapes, write an inequality in one variable that models this scenario. determine algebraically the maximum number of whole pounds of grapes he can buy
An inequality in one variable that models this scenario is 2(3.00) + 1.90x + 2.50(x + 2) ≤ 27.
The maximum number of whole pounds of grapes he can buy is equal to 4.
How to write the required inequality?In order to write an inequality that represents or models this scenario, we would assign a variable to the number of pounds of grapes, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of pounds of grapes.Let the variable p represent the number of pounds of pineapples.Let the variable s represent the number of pounds of strawberries.From the information provided above, we have the following parameters:
The rate of grapes per pound = $1.90.
The rate of pineapples per pound = $3.00.
The rate of strawberries per pound = $2.50.
Pounds of strawberries = g + 2.
Therefore, an inequality that represents or models this scenario is given by;
p + x + s ≤ 27
2(3.00) + 1.90x + 2.50(x + 2) ≤ 27
Next, we would solve the above inequality algebraically as follows;
6 + 1.90x + 2.50x + 5 ≤ 27
4.4x ≤ 27 - 11
4.4x ≤ 16
x ≤ 16/4.4
x ≤ 3.64 ≈ 4
x ≤ 4.
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If you solve the equationx - 3 = 7, what information will you have?
Answer:
x=4
Step-by-step explanation:
both sides, add 7
Hey there!
“x – 3 = 7”
• FIRST: ADD by 3 on BOTH sides
• x – 3 + 3 = 7 + 3
• CANCEL out: –3 + 3 because that gives you 0
• KEEP: 7 + 3 because that helps us solve for your x-value
• NEW EQUATION: x = 7 + 3
• FLIP THE EQUATION: 7 + 3 = x
“Solve above and you have your answer!”
• ANSWER: x = 10 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
G 278,631 mi
69,658 mi
The Great Pyramid at Giza, Egypt,
has a base with four equal sides. If
the perimeter of the pyramid is
3,023 feet, what is the length (to the
nearest foot) of one side of the base
of the pyramid?
F 754 ft
H 756 ft
G 755 ft
J 757 ft
The length of one side of the base of the pyramid is 755ft(option G).
The Great Pyramid at Giza, Egypt, has a base with four equal sides. To find the length of one side of the base, we need to divide the perimeter by 4 (since there are four sides). Therefore, the length of one side of the base of the pyramid is 3,023 feet divided by 4, which is 755.75 feet. Rounding this to the nearest foot, we get 755 feet. Therefore, the answer is G) 755 ft. It is fascinating to note that the Great Pyramid is the oldest and the largest of the three pyramids in the Giza pyramid complex. It was built for the Pharaoh Khufu over a 20-year period in the 26th century BC. The pyramid has a height of 480.6 feet and was the tallest man-made structure in the world for over 3,800 years. The Great Pyramid's precise construction and alignment with cardinal directions have amazed scholars and visitors alike for centuries.
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In each equation, select an operation to make the equation true.
12 ___ -15 = 27
5. -18 ___ -¾ = 24
Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ((3C^(4)d^(4))/(2d^(9)))^(3) (3d^(4))/(2c^(2)) (27d^(2))/(8c^(2))
(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. The correct is option (C).
The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).
We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .
Let us simplify the given expression.
((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)
Now, we need to compare this expression with the expressions given in the answer choices.
Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.
Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.
Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.
Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).
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Software companies work hard to produce software without bugs. A particular company claims that 85% of the software it produces is bug free. A random sample of size 200 showed 156 softwareprograms were bug free.
a. Calculate the mean of the sampling distribution of the sample proportion.
the sample proportion under probability has a mean sampling distribution of 82.
The population percentage is the major variable in the sampling distribution of this proportion, which has a quarter-um normal distribution. Variants include population proportion times one and population proportion divided by sample size. Additionally, we are aware that the population proportion is under the null hypothesis. 200 is the sample soil. When we enter the value of P into this calculation without normalisation, we can obtain the standing ovation as the variance's root. 025 in excess. The probability that we got a sample result of 188/58 or less is then calculated. We simply need to determine this left tail probability after that.
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Suppose the units were changed and total sales values were given in dollars instead of millions of dollars:
If the units were changed and the total sales values were given in dollars instead of millions of dollars, the numbers would be much larger. For example, if the sales of a particular product were $10 million, it would be represented as $10,000,000 instead.
This would not affect the calculation of the average price per unit, as this value is independent of the total sales value.
However, it would make it easier to compare the sales figures of different products or companies, as they would all be expressed in the same units.
It is important to note that when working with large numbers, it is common to use scientific notation or abbreviations to make them easier to read and work with.
For example, $1 million could be written as 1M or 1E6 (where E represents "times 10 to the power of").
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solve the equation y-5/3=1
Answer:
it's 8
Step-by-step explanation:
The solution of the equation is y=8/3
How to add two fractions?Let we have to add two fractions as:
\(\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}\)
Then we will find Lowest Common Multiple (LCM) of b_1 and
b_2. That will help to make the denominators same.
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
Given;
y-5/3=1
Solution;
y=5/3+1
or y=5/3+1/1
taking LCM of denominators;
y=(5+3)/3
y=8/3
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Can someone help me create a comparison between steep slopes and a shallow slope like that picture? Plzzz
Answer:
i was gonna be able to help you put i'm in middle school, i have short term memory and no clue what this is, you in high school? looks tough
Step-by-step explanation:
I NEED SOME HELP PLEASE! PLEASE
Answer:
angle 23 to sector A-B
Step-by-step explanation:
if the least-squares regression line for predicting y from x is y = 50 – 15x, what is the predicted value of y when x = 3?
The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.
The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.
To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.
Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.
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If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes. Which inequality represents the time it takes to drive the route, r?
r < 37 or r ≥ 42
r < 37 or r > 42
37 < r ≥ 42
37 > r ≥ 42
Answer:
i believe the third one so this 37 < r ≥ 42 Step-by-step explanation:
Answer:
(a) r < 37 or r ≥ 42
Step-by-step explanation:
Translating the given relations to math symbols, we have ...
"less than 37 minutes" ⇒ r < 37
"no less than 42 minutes" ⇒ r ≥ 42
__
Written as a single statement, this is ...
r < 37 or r ≥ 42
_____
Additional comment
The solution regions are disjoint, so an "or" statement must be used. The form ...
37 > r ≥ 42
cannot be used, because it is false that 37 > 42.
3. Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
A- $8
B-$16
C-$75
The word problem is "In a restaurant, the constant fee for a table is $ 16 and every food item costs $ 8 if a family wants to spend only $ 75 how many items they can order?"
and the inequality 8x + 16 ≤ 75.
What is inequality:Inequality simply means that two things aren't equal. One of the items might be lower too, greater than, or equivalent to the other things.
Signs that can be used in Inequalities are
≠ means not equal
< means less than
> means greater than
≤ means less than or equal
≥ means greater than or equal
Here we need to create a word problem that can lead to Writing an inequality in the form of Ax + B ≤ C.
The word problem can be written as follows
In a restaurant, the constant fee for a table is $ 16 and every food item costs $ 8 if a family wants to spend only $ 75 how many items they can order?
And the problem can be solved as follows
Let the family order x items
Then the amount can be spent by the family = 8x + 16
As we said the family wants to spend only $ 75
=> 8x + 16 must be less than $ 75
The inequality that can be represented is 8x + 16 ≤ 75
Therefore,
The word problem is "In a restaurant, the constant fee for a table is $ 16 and every food item costs $ 8 if a family wants to spend only $ 75 how many items they can order?"
and the inequality 8x + 16 ≤ 75.
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