Answers
Answer:
11.
a. Blank A = 97 - 54 = 43
or = 122 - 79 = 43
b. Blank B = 100 - 54 = 46
or = 125 - 79 = 46
c. Blank C = 100 + 122 = 222
or = 97 + 125 = 222
12.
a. Prob. of Apple female preference = no of Apple female ÷ Total no for Apple preference
= 194 ÷ 346 = 0.561
b. Prob. of Male Apple preference = no for Male for Apple ÷ No of Male
= 152 ÷ 320 = 0.475
c. Relative frequency of female of Microsoft preference = Female of Microsoft preference ÷ Total female
= 126 ÷ 320 = 0.394
Related Questions
what is the value of x?
Answers
X = 30 degrees.
See the attached image
HELP PLZZZZZ !!!!!!!! I DON'T UNDERSTAND
Answers
Answer:
C.
Step-by-step explanation:
As seen below, the equation of a circle is (x - h)^2 + (y - k)2 = r^2.
In this case, h = the x-value of the center of the circle, which is -2, and k = the y-value of the center of the circle, which is 3. The radius r is 4.
(x - (-2))^2 + (y - (3))^2 = (4)^2
(x + 2)^2 + (y - 3)^2 = 16
This corresponds to answer choice C.
Hope this helps!
Help pls any kind soul pls help
Answers
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.
Answer:
3x
Step-by-step explanation:
If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.
50 POINTS PLEASE HELP will mark brainlest COMPRESSION BY A FACTOR OF 2 photos attached
Answers
Answer:
Point A'(-1,5) ........ corrected A' instead of A
Point B'(3,-3)
Step-by-step explanation:
The current function has vertex (2,-4), and passes through (6,0).
Using the standard formula
y = a(x-h)^2+k
we have
h = 2, k=-4
parabola passes through (6,0) =>
0 = a(6-2)^2 -4 = 16a -4
a = 1/4
so equation of given curve is
f(x) = (1/4)(x-2)^2-4
If the curve is compressed horizontally by a factor of 2, then the image is
g(x) = (1/4)(2(x-2))^2-4
=(x-2)^2 -4
Given A(-4,5), B(4,-3)
f(-4) = 5
f(4) = -4
With a compression factor of 2, coordinates of y do not change.
for point A'
5 = (x-2)^2 -4
5 = (x-2)^2 -4
(x-2)^2 = 9
(x-2) = +/- 3
x-2 = -3, x = -1 (to the left of vertex, ok)
x-2 = +3, x = 5 (to the right of vertex, alternate point x)
Point A'(-1,5) ........ corrected A' instead of A
For point B'
y = -3
-3 = (x-2)^2-4
(x-2)^2 =1
x-2 = +/- 1
x-2 = +1, x=3 (to the right of vertex, point required)
x-2 = -1, x= 1 (to the left of vertex, alternate point Y)
Point B'(3,-3)
Which function represents a parabola that opens downward and has a vertex at (3,-4)
Answers
Answer:
y = -(x-3)² -4
Step-by-step explanation:
PLEASE 36 POINTS!!! I WILL ALSO GIVE BRAINLIEST A system of linear equations includes the line that is created by the equation y = 0.5 x minus 1 and the line through the points (3, 1) and (–5, –7), shown below. On a coordinate plane, points are at (negative 5, negative 7) and (3, 1). What is the solution to the system of equations? (–6, –4) (0, –1) (0, –2) (2, 0)
Answers
Answer: D: (2, 0)
Step-by-step explanation:right on Edge 2020
Answer:
yes its d
Step-by-step explanation:
did on edge
Which expression is not requivalent to
3x - 2?
Answers
Answer:
anything that is not -2+3x or x=2/3 is wrong
Step-by-step explanation:
A rabbit eats turnips and radishes. The number of turnips is four more than twice the number of radishes. Let n represent the number of radishes. Write the expression that gives the number of turnips.
Answers
Answer:
2x+4
Step-by-step explanation:
let the no of radishes be x
therfore, no of turnips = 2x+4
The density of salt is 80 pounds per cubic foot (lb/ft3). 1 pound (lb) is approximately 0.4536 kilogram (kg). 1 cubic foot (ft3) is approximately 0.0283 cubic meter (m3). What is the approximate density of salt in kilograms per cubic meter (kg/m3)?
Answers
Answer: Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
I NEED HELP PLEASE, THANKS! :) Write the augmented matrix for the system of linear equations. –9w + x + 8y + 2z = –6 –5x + 9y – 7z = 6 –3w – 6x + 4y + 9z = 4 –3w – 8x + y = –2
Answers
Answer:
3rd Matrix
Step-by-step explanation:
When you start putting the coefficients in as the matrix, you see that -9 has to be the 1st number, so that eliminates choice B and choice D as answers. You are left with choices A and C. C is the correct choice because when you plug in the second equation, your coefficient is -5, not 0.
Answer:
First Matrix
Step-by-step explanation:
Looking at the first equation, we see that the leading coefficient is -9. This gets rid of choice B and D because the first number in these matrices are not -9. You are left with choices A and C. Looking at the second equation, we see that there is no "w" variable, so we need to add one. The coefficient of this "w" is going to be 0. This means that A is the correct choice. Just to be sure though, evaluate all other coefficients to see if they line up with the matrix. Hope this helps.
Can you please help me solve thanks step by step
Answers
Answer:
40 degrees
Step-by-step explanation:
We know the entire angle of ABD is 70 and CBD and ABC are in it.
Since we know one of them (CBD) is 30, we can subtract 30 from 70 to find ABC. This is because the angle of ABC and CBD equal ABD.
30 + x = 70
-30 from both sides
x = 40
Explanation:
ABC = ABD - CBD
ABC = 70 - 30 = 40
Find an equation for the plane that is tangent to the surface z equals ln (x Superscript 4 Baseline plus y )at the point Upper P (0 comma 1 comma 0 ).
Answers
Answer:
[tex]z-y+1=0[/tex]
Step-by-step explanation:
We are given that equation of surface
[tex]z=ln(x^4+y)[/tex]
Point (0,1,0)
[tex]z_x=\frac{1}{x^4+y}(4x^3)[/tex]
[tex]z_x(0,1,0)=0[/tex]
[tex]z_y=\frac{1}{x^4+y}(1)[/tex]
[tex]z_y(0,1,0)=1[/tex]
Now, the equation of tangent plane to the given surface at point (0,1,0) is given by
[tex]z-z_0=z_x(x-x_0)+z_y(y-y_0)[/tex]
Using the formula
[tex]z-0=0+1(y-1)=y-1[/tex]
[tex]z=y-1[/tex]
[tex]z-y+1=0[/tex]
A cable that weighs 6 lb/ft is used to lift 700 lb of coal up a mine shaft 600 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xi.)
Answers
Answer:
15000000ft-Ib
Step-by-step explanation:
We were told to Show how to approximate the required work by a Riemann sum which is a certain kind of approximation of an integral by a finite sum.
. So we will need to divide the cable into 6 segments,
✓let us denote x as the distance between the top of the mine shaft and the segment.
✓Let us denote ∆x as the length of the segment
Then work done on a segment, work done on the coal and total work done can now be calculated.
CHECK THE ATTACHMENT FOR THE DETAILED EXPLANATION
Suppose that the weight of a cable is [tex]6 \ \frac{lb}{ft}[/tex] and used to lift [tex]700\ lb[/tex] of coal up a mining shaft [tex]600\ ft[/tex] deep.
Let the ith portion of a cable have a width of [tex]\Delta x[/tex], therefore the weight of the ith part of the cable is [tex]6\ \Delta x[/tex], and the distance of the ith part of the cable from the mineshaft is [tex]x_i^{*}[/tex].As a result, the effort done on the ith segment of the wire is [tex]6x_i^{*}, \Delta x[/tex]. The overall amount of work completed for the cable is as follows:[tex]\to W_{ca} = \lim_{n\to \infty} \Sigma^{n}_{i=1} 6x_i^{*} \Delta x \\\\[/tex]
[tex]=\int^{600}_{0} 6x \ dx\\\\= [6x^2]^{600}_{0} \\\\= 3 (360000)\\\\ = 1080000\ ft-lb\\\\[/tex]
Thus, the work done again for cable is [tex]W_{ca} = 1080000 \ ft-lb[/tex].
If the cable weighs 700 lbs and the distance is 600 feet, As a result, the effort expended in raising the coal to the top of the mineshaft is referred to as
[tex]\to W_{co} = 700 \times 600 = 420,000 \ ft-lb[/tex]
As a result, the total amount of work completed is as follows:
[tex]\to W =W_{ca}+W_{co} \\\\[/tex]
[tex]= 1080000+ 420000 \\\\= 1500000 \ ft-lb \\\\[/tex]
Hence, the total work done is [tex]\bold{W = 1500000\ ft- lb}[/tex].
Learn more about:
brainly.com/question/15412736
David and Tina share their profit in a ratio of 5:7. Tina gets £70 more than David. How much money did David receive?
Answers
Answer:
Amount of money David received = £ 175
Step-by-step explanation:
Both of them share their profit in a ratio of 5:7 . Tina got £70 more than David. Let
the amount David received = a
amount Tina received = 70 + a
the total profit = 70 + 2a
Amount David received = 5/12 × 70 + 2a = a
Therefore,
5/12 × 70 + 2a = a
350 + 10a/12 = a
cross multiply
350 + 10a = 12a
collect like terms
350 = 12a - 10a
350 = 2a
divide both sides by 2
a = 350/2
a = 175
Amount of money David received = £ 175
Find an equation of the line with slope -1/5 that passes through the point (-8,0) write the equation in the form Ax+By=C
Answers
Answer:
x + 5y = -8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Find b
y = -1/5x + b
0 = -1/5(-8) + b
0 = 8/5 + b
b = -8/5
Step 2: Rewrite equation
y = -1/5x - 8/5
Step 3: Isolate x and y
1/5x + y = -8/5
Step 4: Multiply everything by 5
x + 5y = -8
Two bond funds pay interest at rates that differ by 4%. Money invested for one year in the first fund earns $550 interest. The same amount invested in the other fund earns $770. Find the lower rate of interest. _________ %
Answers
Answer:
10% interest.
Step-by-step explanation:
Interest I = PRT/100
If the rate R = x% we have
550 = P*x *1 / 100
and
770 = P*(x + 4) * 1 / 100
so From first equation
Px = 55000 and from the second
Px + 4P = 77000
So Px = 77000 - 4P
Therefore 77000 - 4P = 55000
4P = 22000
P = 5,500
So x = 55000/5500 = 10%.
And the rate for the other fund is 10 + 4 = 14%.
Any help would be greatly appreciated
Answers
Answer: (-3, -2)
Step-by-step explanation:
Plug in -2 for y to find x
x - 5(-2) = 7
Multiply -5 and -2
x + 10 = 7
Subtract 10 from both sides
x = -3
The first ordered pair is (-3, -2)
Consider the two savings plans below. Compare the balances in each plan after 14 years. Which person deposited more money in the plan? Which of the two investment strategies is better? Yolanda deposits $100 per month in an account with an APR of 5%, while Zach deposits $1200 at the end of each year in an account with an APR of 5%.
Answers
Step-by-step explanation:
It is not specified the compounding period, which in general is a month these days. So we will assume money is compounded each month, otherwise there is no point depositing monthly.
1. Yolanda:
APR=5% is equivalent to
Monthly interest = 5%/12 = 5/12% = 5/1200 = 1/240 = i
Monthly deposit = 100 = A
Future value after 14 years = 14*12 months = 168 months = n
FV1 = A((1+i)^n-1)/i
=100*((1+1/240)^168-1)/(1/240)
= $24259.83
2. Zach
He deposits 1200 at the end of the year. The last payment does not benefit from interest.
Since it is a yearly payment, each amount earns interest over a year, giving an annual interest of
(1+i)^12 -1 = 1.051161897881733 -1 =0.051161897881733 = j
Thus for 13 annual payments with annual interest j gives a compounded amount after 14 years, plus the last payment which does not earn interest
FV2 = A((1+j)^n-1)/j
= 1200((1.051161897881733)^13-1)/(0.051161897881733)+1200
= 22613.34
Summary
Total investments:
Yolanda = 12*100*14 = 16800
Zach = 1200 * 14 = 16800
So both investors have invested $16800 over the 14 year period.
Since Yolanda achieves a higher future value after 14 years ($24259.83) over that of Zach ($22613.34), financially Yolanda has a better strategy.
Note:
If zach had invested annually at the beginning of the year, he would have obtained:
A((1+j)^n-1)/j
= 1200((1.051161897881733)^14-1)/(0.051161897881733)
= 24908.88
which is superior over Yolanda's return.
Chris placed $7,400 in a savings account which compounds interest annually at a rate of 5.7%. How much will he have in the account after 4 years?
Answers
Answer:$9237.02
Step-by-step explanation:
A = p(1+r/n)^nt
A = 7400 (1 + 0.057)^4
A = 7400(1.057)^4
A = 9237.02
Do not add the .02 at the end of this answer
3) The fastest train on Earth, the TGV from France, can travel at faster speeds than trains in the
United States. During a speed test, the train traveled 8.0 x 10^2 miles in 2.5 hours. Compute the
speed of the train. (Try solving this problem using scientific notation.)
Answers
Answer:
[tex]3.2*10^2=320[/tex] mph
Step-by-step explanation:
hello,
it travels [tex]8.0*10^2[/tex] miles in 2.5 hours
So in 1 hours it travels
[tex]\dfrac{8.0*10^2}{2.5}=3.2*10^2[/tex]
miles
hope this helps
26.355 rounded to the nearest hundredth tell anser
Answers
Answer:
26.36
Step-by-step explanation:
Hundredths are the second decimal place from the decimal. You would round up to 26.36 because the number before that is up to 5. If it was below 5 you would round down to 26.35.
Find the value of X.
Answers
Answer:
x = 4√5
Step-by-step explanation:
The triangles are all similar, so corresponding lengths are proportional.
hypotenuse/short side = x/5 = (11+5)/x
x^2 = 80 . . . . cross multiply
x = 4√5 ≈ 8.94427
please answer my question
Answers
Answer:
B
Step-by-step explanation:
To find a perpindicular line, you want to find the reciprical slope, and have a point.
We already have the point which is (3,9)
All we have to do is find the new slope what is easy, get the orginal slope,
flip the sides and polarity of it. So from the slope -3/2, you get 2/3.
Now you just plug all the new values into slope point formula.
y - y1 = m(x - x1).
You do simple algebra and get B as your answer
John is going for a walk. He walks for 6.4 miles at a speed of 2 miles per hour. For how many hours does he walk?
Answers
Answer:
t = d/s
t = 6.4 / 2 miles
t = 3.2 miles
Step-by-step explanation:
follow me plzzz
Which expression is equivalent to x + y + x + y + 3(y + 5)?
Answers
Answer:
2x + 5y + 15
Step-by-step explanation:
Step 1: Combine like terms
2x + 2y + 3(y + 5)
Step 2: Distribute
2x + 2y + 3y + 15
Step 3: Combine like terms
2x + 5y + 15
Answer: 2x + 5y + 15
Step-by-step explanation:
Which expression is equivalent to x + y + x + y + 3(y + 5)?
Which of the following is the horizontal cross section of the three-dimensional figure formed by rotating a rectangle around the y-axis? a. circle b. cylinder c. triangle d. rectangle
Answers
Answer: Option A.
Step-by-step explanation:
Suppose you have a rectangle in the plane X-Y, such that one of the vertices of the rectangle is on the point (0,0) and the rectangle has sides parallel to both x-axis and y-axis.
Now, you rotate it around the y-axis. The created figure will be a cylinder with a radius and height depending on the measures of the original rectangle.
Now, if you cut it horizontally (this means that you have a cut parallel to the x-z plane) is equivalent to have a view of the cylinder from the top (as if you where on the positive y-axis), and this figure will be a circle, so the correct option is A:
PLEASE HELP ME!!!!!!!!!! What polygon is tesellated to form this image?
Answers
Answer:
Pentagon
Step-by-step explanation:
the head is the closest I see
10x - 30 = 5y
2x = y + 6
Answers
Answer:
the equations are dependent; both describe the line y = 2x -6
Step-by-step explanation:
Remove the common factor of 5 from the first equation and you have ...
2x -6 = y
Subtract 6 from the second equation and you have ...
2x -6 = y
The two equations are the same, so describe the same line. The solution set is all points on that line. The equations are dependent, and have an infinite number of solutions.
5 cards are drawn from a standard deck of 52 playing cards. How many different 5-card hands are possible if the drawing is done without replacement
Answers
Answer:
many different 5-card hands are possible if the drawing is done without replacement in 2598960 ways
Step by step Explanation:
This problem is on combination, which is a selection of items from a particular collection, but here the order of selection does not matter.
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
the area of a right triangle is 77 m^2. the hypotenuse has a length of √317 m. what is the length of the legs?
Answers
Answer:
11 m and 14 m
Step-by-step explanation:
Legs: x and y
---
1/2xy= 77 ⇒ xy= 154
√x²+y²= √317 ⇒ x²+y²=317
x²+y²+2xy= (x+y)²= 2*154+317= 625 ⇒ x+y= √625= 25
x= 25-y
xy=154 ⇒ y(25-y)= 154 ⇒ 25y- y²=154 ⇒ y²- 25y +154=0 ⇒ y=11 and y=14
x= 25-y= 14 and 11