Answer:
a [2, -4, -6, -2]
Step-by-step explanation:
The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Here, we have,
Calculating the matrix Y
From the question, we have the following parameters that can be used in our computation:
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as: Y =[c d a b]
So, we have
Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
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Jefferson purchased a jacket originally
priced $129 on sale for $90.30. What was the
percent of discount?
Identify whether the following equation has a unique solution, no solution, or infinitely many solutions. 3 + 5= 8
Answer:
to me it's a simple solution
Step-by-step explanation:
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:
yxu and tux are the alternate interior angles
Step-by-step explanation:
you just go across and then the other side
so pretty much mirroring it twice
A tablet sales associate makes $84 each day that she works and makes approximately $33 in commission for each tablet that she sells. If she wants to make at least $348 in one day, at least how many tablets does she need to sell?
Answer:
8 tablets
Step-by-step explanation:
t = # tablets she must sell
348 = 33t + 84
264 = 33t
t = 8
The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.
Let's denote the number of tablets sold as "x."
Given:
Earnings per day (base pay) = $84
Commission per tablet sold = $33
Desired earnings for the day = $348
The total earnings for the day can be calculated as follows:
Total earnings = Base pay + (Commission per tablet * Number of tablets sold)
Total earnings ≥ Desired earnings
Setting up the inequality:
$84 + ($33 * x) ≥ $348
Simplifying the inequality:
$84 + $33x ≥ $348
Now, let's solve for x:
$33x ≥ $348 - $84
$33x ≥ $264
Dividing both sides of the inequality by $33 (the coefficient of x):
x ≥ $264 / $33
x ≥ 8
Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
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Please help I need to do this for homework but I have zero clue what to do.
The quarterback should have thrown the ball when the receiver was open about 16 yards down the field. Can you find how far the quarterback would have to throw the ball?
Answer:
[tex]20[/tex]
Step-by-step explanation:
[tex]12[/tex]²[tex]+16[/tex]²[tex]=400.[/tex]
[tex]\sqrt{400}[/tex][tex]=20[/tex]
Which point is closest to the x-axis?
(4, 8)
(2, 11)
(8, 7)
(3, 13)
Answer:
B
Step-by-step explanation:
The other guy was wrong
(4, 8)
(2, 11)
✔(8, 7)
(3, 13)
Which of the following names of geometric objects does The order of letters not matter
9514 1404 393
Answer:
B. line AB
Step-by-step explanation:
The terminal point must be named first when naming a ray.
The vertex must be named in the middle when naming an angle.
The order of points does not matter when naming a line.
The National Center for Health Statistics interviewed 5409 adult smokers in 2015, and 2626 of them said they had tried to quit smoking during the past year. Consider this to be a random sample. Find a 95% confidence interval for the proportion of smokers who have tried to quit within the past year. (Round the final answers to three decimal places.)
Answer:
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47228 , 0.49868)
Step-by-step explanation:
Step(i):-
Given that the National Center for Health Statistics interviewed 5409 adult smokers in 2015
and 2626 of them said they had tried to quit smoking during the past year
proportion
[tex]P = \frac{x}{n} = \frac{2626}{5409} =0.48548[/tex]
Q = 1-P = 1 - 0.48548 = 0.5146
Step(ii):-
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
[tex](P - Z_{\alpha } \sqrt{\frac{PQ}{n} } , P+ Z_{\alpha } \sqrt{\frac{PQ}{n} } )[/tex]
[tex](0.48548 - 1.96 \sqrt{\frac{0.48548 X 0.51452}{5409} } , 0.48548+ 1.96\sqrt{\frac{0.48548 X 0.51452}{5409} } )[/tex]
( 0.48548 - 0.0132 , 0.48548 +0.0132)
(0.47228 , 0.49868)
Final answer:-
95% of the confidence interval for the proportion of smokers who have tried to quit within the past year
(0.47228 , 0.49868)
Can someone help of you dont know dont answer
Answer:
the answer is A for both of the questions
student will randomly select a tile from a bag containing one red one yellow one blue and one green tile and then roll a cube with faces numbered 1 through 6 what is the probability that a student draws a red or yellow towel in rolls a number between 1 and 3 enter your answer as a percentage to the nearest percent
I NEeD My BRiAnLiEsT PeRsOn
Answer:
25%Step-by-step explanation:
There are 4 colors, probability of red or yellow:
P(red or yellow) = 2*1/4 = 1/2And a cube faces 1 to 3:
P(1 to 3) = 3*1/6 = 1/2Probability of the two events above:
1/2*1/2 = 1/4 = 25%a/4 + 2 = 6
Please help I need this ASAP!!!
the answer is on the picture
Micah and crystal purchase two movie tickets. Tickets cost $8.50 each. drinks cost $3.50 each, and the boxes of candy cost $3.00 each. use an algebraic expression to desribe how much they spend based on the number of tickets, drinks and boxes of candy they buy
Answer:
2t+2d+2c=30
2(8.50)+2(3.50)+2(3.00)=$30
Step-by-step explanation:
t= tickets (8.50)
d= drinks (3.50)
c= candy (3.00)
1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)
Answer:
1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.
Please help me there due tonight!!! All help is appreciated.
Answer:
1. 160cm²
2. 176.25cm²
3. 33.75ft²
Step-by-step explanation:
Area triangle = (1/2)(base)(height)
1)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(8)(9))+2(0.5(8)(11))
=72+88=160cm²
2)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(7.5)(7.5))+2(0.5(7.5)(16))
= 56.25 + 120 = 176.25cm²
3)
total area = 2(area small triangle) + 2(area big triangle)
= 2(0.5(4.5)(2.5))+2(0.5(4.5)(5))
= 11.25+22.5 = 33.75ft²
Noel correctly answers 80% of the questions on a test with
40 questions
How many questions does Noel answer correctly
O 5
08
32
50
7) You buy a notebook for $2.99 and a pack of erasers for $1.99. If you have a 25% off coupon for the whole order, how much will you have to pay for both items?
Answer:
i think it is $4.73
Step-by-step explanation:
Answer:
$3.73
Step-by-step explanation:
Notebook: $2.99
Pack of Erasers: $1.99
Add together to get the total amount before the coupon.
[tex]2.99 + 1.99 = 4.98[/tex]
Given 25% off coupon for the WHOLE ORDER. To make things easier, take 75% of 4.98.
[tex].75(4.98) = 3.735[/tex]
Or do the long way if you want.
[tex].25(4.98) = 1.245 = 1.25\\4.98 -1.25=3.73[/tex]
In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
4.
What would be the purchase price for a $5,000, 91-day T-bill paying 3%
interest?
a. $4,925.00
b. $4,962.50
C. $5,000.00
d. $5,037.50
Answer:
B
Step-by-step explanation:
A = P(1+i/n)^t
5000 = P(1+0.03/(361.3/91)^1 361.3 ??? it worked
P = 5000/1.007556048
P = $4962.50309
the 91 day T-bill confused by financial calculator which got $4962.78 for a quarterly compound interest rate
Find angle R as shown by the picture
I need an explanation
Will name brainliest
Answer: C. 39 degrees
Step-by-step explanation: Hope this help :D
Help me with the work please if you can
Answer:
D, 525
Step-by-step explanation:
1) Find what percent 45 is out of 150
45/150 x 100/100 = 4,500/15,000 = 30/100 = 30%
2) Find 30% of 1,750
1,750 x 0.3 = 525
Answer= D
I= $169.67,P= $2000,t= 8 months
If ur trying to find the rate its 12.7252%
Step-by-step explanation:
PLEASE HELP FAST!!!!
The area of the rubber coating for a flat roof is 96 square feet. The
rectangular frame the carpenter built for the flat roof has dimensions such
that the length is 4 feet longer than the width. What are the dimensions
of the frame?
Answer:
width is 8, length is 12
Step-by-step explanation:
l = w+4
l x w= 96
4+w x w = 96
w^2 +4w -96 = 0
w+12 W -8
w = 8
The dimensions of the frame are 8 feet in width, 12 feet in length.
Calculations and ParametersGiven the data:
[tex]l = w+4\\l * w= 96\\4+w * w = 96\\w^2 +4w -96 = 0\\w+12 W -8\\w = 8[/tex]
Therefore, the dimensions of the frame are 8 feet in width, 12 feet in length.
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a triangle has two sides of lenghts 10 and 14 what value could the length of third side be, check all that apply.
Answer:
A 5
B 16
E 8
F 10
Step-by-step explanation:
Bob Nale is the owner of Nale's Gas Station. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. He assumes a population standard deviation of 2.30 gallons. From his records, he selects a random sample of 60 sales and finds the mean number of gallons sold is 8.60. What is the z-statistic for a 99% confidence interval for the population mean.
Answer:
The z-statistic for a 99% confidence interval for the population mean is 2.575.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
The z-statistic for a 99% confidence interval for the population mean is 2.575.
if virginia's sales tax rate is 4.3%, what is the total cost of a $34 virgina tech t-shirt?
Answer:
35.46
Step-by-step explanation:
34 x 1.043=35.46
Can someone help me find the area
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²
What is the measure of each exterior angle of a regular 15-sided figure?
Decent amount of points please help! :)
WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! 100 POINTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
4.1 in
Step-by-step explanation:
[tex]V=\pi r^{2}[/tex]
[tex]751=\pi r^{2}(10.7)[/tex] now we multiply pi and 10.71- i left it in the hundreths
place when i get my final answer ill round it to the tenths)
[tex]751=33.62r^{2}[/tex], we need the [tex]r^{2}[/tex] alone so we now dive with 33. 62 on both sides, elimenating the 33.62. Now 751/ 33.62= 16.98.
now we square root it
[tex]\sqrt{16.98}[/tex] = 4.12 which rounded is 4.1
Answer:
solution given.:
radius=[r] let
height[h]=10.7in
volume[V] of cylinder=751 in³
π=3.14
we have
volume[V] of cylinder=πr²h
751=πr² ×10.7
r²=[tex] \frac{751}{10.7×3.14} [/tex]
r=[tex] \sqrt{22.353} [/tex]=4.73inch
so radius is 4.73in
What does APS Stand for
apple presents stop motion studios?
