Answer:
5a-7=24
5a=24+7
a=31/5
Step-by-step explanation:
A fair dice is rolled . work out the probability of getting a factor of 8 Give your answer in it's simplest form
Answer:
[tex]Pr = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6\}[/tex] --- the faces of the dice
[tex]n(S) = 6[/tex]
Required
Pr(Multiple of 8)
The multiples of 8 in the given dataset are:
[tex]Multiples = \{1.,2,4\}[/tex]
[tex]n(Multiples) = 3[/tex]
So, we have:
[tex]Pr = \frac{n(Multiples)}{n(S)}[/tex]
[tex]Pr = \frac{3}{6}[/tex]
Simplify
[tex]Pr = \frac{1}{2}[/tex]
The stem-and-leaf plot above shows the high temperatures for two cities during a period of 7 days.
What is the difference between the mean temperatures for the two cities?
A. 4.1
B. 5.4
C. 7.0
D. 7.7
Answer:
C: 7.0
Step-by-step explanation:
We are told that; 0|5| means 50 and that |4|8 means 48. Thus;
Temperatures for baker city are;
49, 46, 43, 55, 53, 50, 61
Temperatures for felina are;
48, 54, 54, 58, 62, 63, 67
Thus;
Mean temperature of baker city = (49 + 46 + 43 + 55 + 53 + 50 + 61)/7 = 51°F
Mean temperature of Felina = (48 + 54 + 54 + 58 + 62 + 63 + 67)/7 = 58°F
Thus, difference between the 2 mean = 58°F - 51°F = 7.0°F
Job seekers should try to work for their preferred companies __________. A. without searching the job market B. even if it is not the ideal position C. even if there are no current openings D. only if they know someone at the company
Step-by-step explanation:
a:without searching the job market
Answer:
A
Step-by-step explanation:
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E
Answer:
Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.
Step-by-step explanation:
It's clear from the graph,
Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'
Let's choose a point A having coordinates (-2, -1)
By reflecting point A across x-axis,
Rule to be followed for the reflection,
(x, y) → (x, -y)
By this rule, coordinates of the image point A will be,
A(-2, -1) → A"(-2, 1)
Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).
Rule for the dilation of a point about the origin is,
A"(x, y) → A'(kx, ky)
A"(-2, 1) → A'(-2k, k)
Since, coordinates of point A' are (-4, -2),
Therefore, -2k = -4
k = 2
k = 2
Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.
Sebastian opened a savings account with $800 that pays no interest. He deposits an
additional $170 each week thereafter. How much money would Sebastian have in the
account 21 weeks after opening the account?
Answer:
$4,370
Step-by-step explanation:
170(21)= $3,570
3,570+800= $4,370
Sabi has $2.50 more than Toni. Together they have $17.50. How much does Toni have?
Answer:
6.25
Step-by-step explanation:
17.50/2=8.75
8.75+2.50=11.25
17.50-11.25=6.25
Answer:
Toni has $7.50
Step-by-step explanation:
Tobi = x
Sabi = x + 2.5
x + x + 2.5 = 17.5
2x + 2.5 = 17.5
2x = 15
x = 7.5
If you apply the changes below to the absolute value parent function, f(x) = [xl,
what is the equation of the new function?
• Shift 4 units to the right.
Shift 6 units up.
A. g(x) = |x-6] + 4
B. g(x) = 5x – 4[ + 6
C. g(x) = 5x + 4[ + 6
D. g(x) = 5x + 6 + 4
Answer:
B: g(x) = Ix - 4I + 6
Step-by-step explanation:
First, let's describe in a general way the transformations.
Vertical shift.
For a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards
If N is negative, the shift is downwards.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
If N is positive, the shift is to the left.
If N is negative, the shift is to the right.
Now we have the function:
f(x) = IxI
And we first have a shift of 4 units to the right, this is written as:
g(x) = f(x - 4)
Now we have a shift of 6 units up
This is written as:
g(x) = f(x - 4) + 6
Now, knowing that f(x) = IxI, we can write
g(x) = Ix - 4I + 6
Option B.
Peter wants to purchase a car that costs $3,200. He signs an installment agreement
requiring a 25% down payment. He currently has $650 saved. Does he have enough for the Down payment
Answer:
the answer is No
Step-by-step explanation:
he needs $800 yet he only has $650, he will need $150 more
Jennifer is a car saleswoman. She is paid a salary of $2200 per month plus $300 for each car that she sells. Write a linear function describing the relationship between the number of cars sold x and the monthly salary y?
Answer:
y = 300x + 2200
Step-by-step explanation:
y = 300x + 2200
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 2/5 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
12
Step-by-step explanation:
A 2 - sided counter ; (red, yellow)
A spinner (1,2,3,4,5,6)
Number of trials = 80
P(red and number > 3) :
P(red) = 1/2 ;
P(number >3) : numbers greater Than 3 = (4, 5, 6)
Hence, P(number <3) = 3 /6 = 1/2
Theoretical probability = 1/2 *1/2 = 1/4
Expected number of outcomes :
1/4 * number of trials
1/4 * 80 = 20
Experimental outcome :
Relative frequency = number of outcomes / number of trials
Relative frequency = 2/5
Hence,
2/5 = number of outcomes / 80
Cross multiply :
160 = number of outcomes * 5
Number of outcomes = 160 /5 = 32
Actual outcomes = 32
Difference between actual and expected :
32 - 20 = 12
Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Given:
The equation of parallel line is:
[tex]3x-2y=5[/tex]
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-1,3\right)[/tex]
It means the required line passes through the point (-1,3).
The slope of line [tex]Ax+By=C[/tex] is:
[tex]m=\dfrac{-A}{B}[/tex]
The given equation is:
[tex]3x-2y=5[/tex]
Here, A=3 and B=-2. So, the slope of the line is:
[tex]m=\dfrac{-3}{-2}[/tex]
[tex]m=1.5[/tex]
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=1.5(x-(-1))[/tex]
[tex]y-3=1.5(x+1)[/tex]
[tex]y-3=1.5x+1.5[/tex]
Adding 3 on both sides, we get
[tex]y=1.5x+1.5+3[/tex]
[tex]y=1.5x+4.5[/tex]
Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].
Im not good at math plz help :)
Answer:
D. 23/27
Step-by-step explanation:
The good news is, they wrote out all the possible options for you.
There are 27 possibilities in all, so that's our denominator.
They want to know which possibilities have a W in there OR an R comes first. So we'll count up the possibilities that start with R. There are 9.
Then, of the remaining 18, 14 include a W somewhere in there.
9 + 14 = 23 out of 27.
We are not counting the Ws in the possibilities that start with R, because of the OR in the sentence.
Please let me know if you have questions about this.
Simplify 4!
A. 24
B. 10
C. 9
D. 4
Answer:
D
Step-by-step explanation:
A culture of bacteria has an initial population of 15000 bacteria and doubles every 3 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 20 hours, to the nearest whole number?
Answer:
1523905
Step-by-step explanation:
Given the function
P(t) = P0 * 2^t/d
P0 = 15000 ; d = 3.; t = 20
P(20) = 15000 * 2^20/3
P(20) = 15000 * 2^6.66666
P(20) = 15000 * 101.59366
P(20) = 1523905.0
P(20) = 1523905
Which is the correct calculation for the volume of the prism?'
3 units
5 units
4 units
O 3 + 5 + 4 = 12 units
O3(4) + 5 = 17 units?
3(4) = 12 units
3(5)(4) = 60 units
Step-by-step explanation:
V = l.W.H
3(5)(4) = 60 units
The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.
Given that, we need to determine the correct calculation for the volume of the prism,
We know that, the volume of a rectangular prism is the product of its dimensions = length x width x height
Therefore, the correct formula is 3(5)(4) = 60 units
Hence, the correct option is 3(5)(4) = 60 units
Learn more about volumes, click;
https://brainly.com/question/24086520
#SPJ7
Could you please help me with this!!
Answer:
35%
Step-by-step explanation:
7/20 = 35%
Answer:
Step-by-step explanation:
7 /20 = 0.35 = 35%
Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached!
9514 1404 393
9514 1404 393
Answer:
a) P = -28(x -112)² +7500
b) $102.55 or $121.45
Step-by-step explanation:
a) A quadratic relation with a maximum of 7500 at x=112 can be written in vertex form as ...
P = a(x -112)² +7500
The other given point (x, P) = (89, -7312) can be used to find the value of 'a'.
-7312 = a(89 -112)² +7500
-14812 = a(529)
a = -14812/529 = -28
So, the desired quadratic relation is ...
P = -28(x -112)² +7500
__
b) The values of x that make P = 5000 can be found from ...
5000 = -28(x -112)² +7500
-2500 = -28(x -112)² . . . . . . . . subtract 7500
89.286 = (x -112)² . . . . . . . . . . . divide by -28
±9.45 = x -112 . . . . . . . . . . take the square root
x = 112 ± 9.45 = {102.55, 121.45}
Setting the price at about $102.55, or $121.45, will yield a profit of $5000.
please help asap! thank you so much! Select the correct answer.
What is the complete factorization of x2 + 4x - 45?
OA. (x + 15)(x-3)
OB. (x-9)(x+5)
OC. (x + 9)(x-5)
OD.
(x- 15Xx+3)
the answer is C. (x+9)(x-5)
Answer:
The answer is C :)
Step-by-step explanation:
ning Task 2: Radius and Diameter
plete the table by finding the unknown length of the radius
surement)
Radius Diameter
1 120 cm
2 35 m
3 19 km
Answer:
60
27.5
9.5
Step-by-step explanation:
Recall that: D/2 = r
Therefore 120cm÷2 = 60cm
35m÷2 = 27.5m
19km÷2 = 9.5km
the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least
HELP ME REALLY FAST
I WILL MARK BRAINLIEST
Find the median of the data set:
10, 9, 4, 8, 8, 3, 6, 8.
Answer:
The median is 8
Step-by-step explanation:
Hope this helps
\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.
Answer:
last option: y = 1/6x+3; y = 1/2x+3
Step-by-step explanation:
6y = x + 18
Solve the above for 'y' to get:
y = 1/6x + 3
2y - x = 6
Solve the above for 'y' to get:
2y = x + 6
y = 1/2x + 3
hello please help i’ll give brainliest
Answer:
it will decrease
Step-by-step explanation:
if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down
Answer:
It will decrease
Step-by-step explanation:
There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.
I think this is the answer.
What is the magnification formula?
StartFraction h Subscript I Baseline over h Subscript o Baseline EndFraction equals StartFraction d Subscript I Baseline over d Subscript o Baseline EndFraction.
The negative of StartFraction h Subscript I Baseline over h Subscript o Baseline EndFraction minus StartFraction d Subscript I Baseline over d Subscript o Baseline EndFraction. = 1
StartFraction h Subscript o Baseline over h Subscript i Baseline EndFraction equals the negative of StartFraction d Subscript I Baseline over d Subscript o Baseline EndFraction.
The negative of StartFraction h Subscript I Baseline over h Subscript o Baseline EndFraction equals StartFraction d Subscript o Baseline over d Subscript i Baseline EndFraction.
Answer:
It is option A
Step-by-step explanation:
And the "suck it" guy is a loser :)
Answer:
Inverted, Real, and Behiend the lens
Step-by-step explanation:
Janice runs 2 miles in 24 minutes, 3 miles in 36 minutes, and 5 miles in 60 minutes.
Predict how long it would take her to run 4 miles.
Answer ASAP
Answer:
It will take Janice 48 minutes to run 4 miles.
Step-by-step explanation:
She is running 1 mile every twelve minutes, so 4*12 will give you the answer, which is 48 minutes.
Use the diagram to solve for the indicated measures.
Rewrite the equation in standard form.
x^2=−x−3
Standard form: ____ =0
Answer:
x^2+x+3=0
Step-by-step explanation:
x=-(1+√1-12)/2
HELP I'LL GIVE EXTRA POINTS
Step-by-step explanation:
5x+5+79+11x=180°{sum of angle of triangle}
16x+84=180°
x=96/16
x=6
now angle A=5x+5
5×6+535°stay safe healthy and happy.Answer:
5x+5+11x=180-79
16x=101-5
16x=96
x=6
Measure of angle A=5x+5
=(5×6)+5
=35
Probability models
Please help
i’m so bad at this someone please help me lol!
Answer:
It's B
Step-by-step explanation:
B makes the most sense to me