Answer:
4.62910049578
Step-by-step explanation:
variation is standard deviation squared
variance = 21.428571428571
square root variance for answer.
All 27 students in Joe’s class bought the same items. The expression below shows the total spent by ALL 27 students:
27(2p + 4e + 10p + 20)
a) What property can be used to simplify the expression:
______________________________________________________________________
______________________________________________________________________
b) Simplify the expression:
Answer:
I will give you the explanation, figure out the answer.
Step-by-step explanation:
For this expression, you need to distribute 27 into the expression inside the parantheses.
Distributing will look like this:
(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)
Now to get the simplified version of this expression, you just need to multiply and combine like terms!
On Saturday, many tickets for a hockey game were sold. Children and adult tickets were sold in the ratio of 4:7. There are 88 tickets in total.
How many adult tickets were sold?
Answer:
49 tickets
Step-by-step explanation:
THis is pretty straight forward
So we have the ratio 4:7
We know there were 88 tickets in total but we don’t know the exact amount of adult and kids
So we can Add up the ratio
4+7=11
Now we can divide 88 by 11
you’ll get 7
So by doing this we know there are 7 groups of the ratio for child to adults 4:7
So we just multiply the 7 to each
4*7
7*7
you’ll get 28:49
Now we know there are 28 kid tickets and 49 adult tickets
We know this is correct becuase if you add up the ratio, it’ll be 88
Which is the same as the amount fo people at the hockey game
Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?
Answer:
8 hours
Step-by-step explanation:
110 miles ................. 5 hours
176 miles ..................x hours
x = 176×5/110 = 880/110 = 8 hours
Wilma is tiling her bathroom with tiles that measure 1 foot along each side. The bathroom is 15 feet long and 10 feet wide. She can lay 30 tiles per hour. Which of the following can be used to find the total number of hours it will take Wilma to cover the floor with tiles?
Answer:
(15 * 10) / 30 = x
Step-by-step explanation:
Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.
(15 * 10) / 30 = x
150 / 30 = x
5 hours = x
Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.
When F(x) = 9x^2 + 6,
evaluate f(-4)
Answer:
150
Step-by-step explanation:
Steps below in pic
given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12
a + 2b - d = ?
Answer:
Let's solve for a.
(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d
Step 1: Add -12a to both sides.
adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a
adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x
Step 2: Add -bdx to both sides.
adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx
adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x
Step 3: Add -bx^2 to both sides.
adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2
adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x
Step 4: Add -3d to both sides.
adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d
adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x
Step 5: Add -3x to both sides.
adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x
adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x
Step 6: Factor out variable a.
a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x
Step 7: Divide both sides by dx^2+x^3-12.
a(dx2+x3−12)
dx2+x3−12
=
−bdx−bx2+x3+6x2+2b−4d+8x
dx2+x3−12
a=
−bdx−bx2+x3+6x2+2b−4d+8x
dx2+x3−12
Answer:
a=
−bdx−bx2+x3+6x2+2b−4d+8x/
dx2+x3−12
Step-by-step explanation:
2) You purchase a car using a $23,000 loan with a 4% simple interest rate. Suppose you pay the loan off after 5
years. How much interest do you pay on your loan? Please show your math work and don't forget the unit!
(Calculator is allowed but please write down the numbers that you enter into your calculator).
y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5
Answer:
y = 3.584
Step-by-step explanation:
Given
Variation = Inverse Proportional
When y = 7, x = 4
Required
Find y when x = 5
First, we need to represent the variation.
y varies inversely proportional to x³
This implies that
y ~ 1/x³
Convert variation to equation
y = k/x³
Make k the subject
k = x³y
When y = 7, x = 4
This gives:
k = 4³ * 7
k = 64 * 7
k = 448
To determine the value of y when x = 5;
We make use of y = k/x³
Substitute 5 for x and 448 for k
y = 448/5³
y = 448/125
y = 3.584
Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,
Answer:
Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,
1.15 x 10 negative 5 power
Find the distance between the two points rounding to the nearest tenth (if necessary). (−2,−2) and (0,7)
Answer:
9 units
Step-by-step explanation:
(0,7)-(-2,-2)= (2,9)
distance = 9 units
Answer:
2.2
Step-by-step explanation:
(-2,-0)^2+(-2,-7)^2
(-2)^2+(-9)^2
4+81
85
9.2
A system of equations is graft on the grid
Which system of equations does the graph represent?
A. y = x - 4
y = 0.5x – 2
B. y=-x+4
y= 0.52x + 2
C. y= -2 - 4
y=0.5x – 2
D. y= x +4
y = -0.5x + 2
I do not know how to solve this problem
Answer:
First you have to take a sleep
Graph the solution to the following system of inequalities in the coordinate plane.
y>1/4x+6
y>2x-1
Answer:
The solution is any point in the common part of red and blue
The two lines intersect each other at (4 , 7)
Step-by-step explanation:
∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6
∵ y > 2x - 1 ⇒ y = 2x - 1
∴ 2x - 1 = 1/4 x + 6
∴ 2x - 1/4 x = 6 + 1
∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4
∴ x = 4
∴ y = 2(4) - 1 = 7
∴ The two lines intersect each other at (4 , 7)
∴ The solution is any point in the common part of red and blue
The Chapin Social Insight Test evaluates how accurately the subject appraises other people socially. In the reference population used to develop the test, scores are approximately normally distributed with mean 25 and standard deviation 5. The range of possible scores is 0 to 41. a) What proportion of subjects in the population will have scores above 31
Answer:
0.11507
Step-by-step explanation:
Given that:
Mean (m) = 25
Standard deviation = 5
Proportion of subject in the population with score above 31
P(x > 31)
Obtain the standardized score of x = 31
Zscore = (x - m) / s
Zscore = (31 - 25) / 5
Zscore = 6 / 5
Zscore = 1.2
Hence, p(Z > 1.2)
Using the Z probability calculator :
p(Z > 1.2) = 0.11507
In a random sample of 400 items where 82 were found to be defective, the null hypothesis that 20% of the items in the population are defective produced ZSTAT=+0.25. Suppose someone is testing the null hypothesis H0: π=0.20 against the two-tail alternative hypothesis H1: π≠0.20 and they choose the level of significance α=0.01. What is their statistical decision? What is the statistical decision? Determine the p-value. The p-value for the given ZSTAT is p-value=nothing. (Type an integer or a decimal. Round to three decimal places as needed.)
Answer:
Z - statistic = 0.25
P-value
P(Z=0.25) = 0.802587
The result is not significant at p<0.01
Step-by-step explanation:
Step(i):-
Given the random sample size 'n'' = 400
A random sample of 400 items where 82 were found to be defective
Sample proportion
[tex]p = \frac{x}{n} = \frac{82}{400} = 0.205[/tex]
Given Population proportion
P = 0.20
Null Hypothesis : P = 0.20
Alternative Hypothesis : P≠ 0.20
Step(ii):-
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.205-0.20}{\sqrt{\frac{0.20X0.80}{400} } }= \frac{0.005}{0.02} =0.25[/tex]
Z - statistic = 0.25
Level of significance =0.01
P-value
P(Z=0.25) = 0.802587
Conclusion:-
The result is not significant at p<0.01
Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have
Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
Express the given sums using sigma notation.
2/5+4/9+6/13+....+20/41
Answer:
олвововововлвлвлвлвлвлввлвлв
Answer:
[tex]\begin{array}{ccc}&10&&&\Sigma&\frac{2n}{4n + 1}&&n=1&\end{array}[/tex]
At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. What is the tax rate for meals in this city?
Answer:
24.09 am I smart or what lol
Step-by-step explanation:
22 +2.09
A researcher is interested in the relationship between time spent browsing items in an online store and the total amount purchased from the store. The researcher selects a random sample of visitors to the online store and records the time spent browsing and the total amount of their purchase. The researcher will conduct a t-test for the slope of a regression line, where time spent browsing is the explanatory variable and total amount of purchase is the response variable. Which of the following would be an indication that the normality condition has been met?
A. A sample size that is less than 30
B. A histogram of the residuals that is centered at 0 and strongly right skewed
C. A dotplot of the residuals that is centered at 0, unimodal, and symmetric
D. A boxplot of the residuals that is centered at 100 and does not provide evidence of skewness or outliers
E. A scatterplot where total amount of purchase is the explanatory variable and time spent browsing is the response variable
Answer:
C
Step-by-step explanation:
AP Classroom
A rectangle has an area of 24 square centimeters. If the length and width of the rectangle are multiplied by 5, what is the area of the new rectangle?
Answer:
it will be 5 x 5 bigger... or 25 times bigger than 24 or 600 [tex]cm^{2}[/tex]
Step-by-step explanation:
The required area of new rectangle is 600 square meters.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Let the length of the rectangle = x cm,
And width of rectangle = y cm.
Given that,
The area of rectangle is 24 square centimeters.
The area of rectangle = length × width
xy = 24 (1)
When length and width are multiplied by 5,
The length becomes 5x and width becomes 5y,
The area of new rectangle = 5x × 5y
= 25 xy
Substitute the values of xy from equation (1),
Area = 25 × 24 '
= 600
The area of new rectangle is 600 square centimeters.
To know more about Rectangle on:
https://brainly.com/question/15019502
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What are the x - and y-intercepts of the equation 5x + 3y = 15 ?
The x-intercept is
The y-intercept is
Answer and Explanation:
The intercepts of the equation 5x + 3y = 15 are (3,0) and (0,5).
Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).
It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.
The A. P is
22,28,34,.....
So the n th term will be represented as
a+(n-1)d,
where a=22
And d=6
Now in (b) part the n th term is given i. e. 100
So by putting in the given values we could easily found the value of n
n=(100-22)/6=78/6=13
So the 13th term will be 100
Hope You Got It.
Someone help me
6 cm
22 cm
14 cm
Ariza paid $13.50 for 10 bottles of juice. Each bottle costs the same price. What is the price of one bottle of juice? $0.14 $0.74 $1.35 $3.50
Answer:
1.35
Step-by-step explanation:
13.50 divided by 10 = 1.35
Would someone like to help me with 5 math problems?
Maryse bought a jacket from the store for $90.95. Shepaid a 7% sales tax when she bought the jacket. How Much was the jacket before the sales tax?
Can sombody plz help I will make them brainless or something like that plz help
Answer:
27.5=2n OR 2n=27.5
Step-by-step explanation:
plug it in :)
Not troll! Please help, will give brainliest! Explain your answer and how you got it.
Evaluate the expression 34 + 4/9w and w = - 1/2
Answer:
304/9 as fraction
33.7 decimal
I cannot say steps i apologize.
Step-by-step explanation:
Nine children on the swim team dont like ice cream if this represents 18% of children on the swim team how many children are on the swim team
Answer:
Um.. Im not sure about this one.. you're in college?
Step-by-step explanation:
Answer:
50 children in total
Step-by-step explanation:
question is really asking this: 9 is 18% of what number
9 = .18x
9/.18 = 50