Answer:
-4 or 7
Step-by-step explanation:
Let x represent the number. Then the problem statement tells us ...
x^2 -2x = 28+x
x^2 -3x = 28 . . . . . subtract x
x^2 -3x +2.25 = 30.25 . . . . add the square of half the x coefficient
(x -1.5)^2 = 30.25 . . . . . . . . write the left side as a square
x -1.5 = ±5.5 . . . . . . . . . . . . take the square root
x = 1.5 ±5.5 = {-4, 7} . . . . . . . add 1.5
The number may be either -4 or 7.
the table below shows the account balances for four different customer accounts at the city bank.which account balance represents a debt that is greater than $20 and less than $30?
Answer: -$24
Step-by-step explanation:
The perimeter of a rectangle is 62 meters. The length is 4 more than 2 times the width. What is the length?
Answer:
4x+ 1 = 24 + 1 = 25 m.
Step-by-step explanation:
Given, perimeter = 62 m. Perimeter : 2 (L+W) = 62 m. hence, L+W = 31 m. x = 30/5
Answer:
Step-by-step explanation:
let width be x
length = 2x + 4
2(x + 2x + 4) = 62
6x + 8 = 62
6x = 54
x = 9
length = 2(9) + 4 = 22cm
Solve for a .
5 a - 2 = 23
a =
Answer:
A=5
Step-by-step explanation:
5 times 5 is 25
25-2 is 23
The perimeter of a square is 32cm? What is the length of each side?
the answer is 8 because there is 4 sides on a square and 8 x 4 is 32.
A friendly contest involves randomly drawing a marble from a bag that contains 16 blue marbles, 12 red
marbles, and 8 yellow marbles. If a blue marble is drawn, Nathan wins. If a red marble is drawn, Taylor wins.
If a yellow marble is drawn, Cady wins.
Who is most likely to win the contest?
1 Nathan
2 Cady
3 They are equally likely to win.
4 Taylor
Answer: I have a huge feeling it would be Nathan because he has the most blue marble. Yk?
What is the answer to the following equation.9+10
Answer:
21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
of the total 1,034,884 people infected in the us if 641,628 caucasians are infected write the percent it represents in the united states round to the nearest whole number
Answer:
62%
Step-by-step explanation:
The proportion of those infected who are caucasian is is the number of caucasians infected divided by the total number of infected.
The percentage is the proportion multiplied by 100.
We have that:
641,628 caucasians
1,034,884 people infected
641,628/1,034,884 = 0.62
0.62*100 = 62%
EASY
A broken thermometer reads 33° F, but Kira knows that the temperature is at least 33° F, if not even colder. Which of the following inequalities, shows the possible temperatures?
t ≤ 33° F
t ≥ 33° F
t > 33° F
t < 33° F
Answer: t ≥ 33
Step-by-step explanation:
So the temperature has to equal to 33 or less than 33.It can't be greater than 33.
Prove that the diagonals of a rectangle bisect each other.
The midpoints are the same point, so the diagonals _____
are parallel to each other.
bisect each other.
have the same slope.
are perpendicular to each other.
Answer:
bisect each other.
Step-by-step explanation:
The midpoints are the same point, so the diagonals bisect each other.
__
More elaboration on a proof
The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.
g We are told that the data is representative of the two populations (U.S. males aged 20-29 years and U.S. males aged 75 years), and we will assume that researchers collected random samples. The samples are very large; therefore, the conditions are met for use of the T-test. Using StatCrunch, we find a T-score of 5.3 and a P-value of "< 0.0001." What can we conclude
Answer:
Step-by-step explanation:
With a T-score of 5.3 and a P-value of "< 0.0001." we can conclude that there is sufficient statistical evidence to prove that the data provided is not a representative of the two populations as the p value is less.
some help?I don't know how to solve it
A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record in the world, and wants to know how the value will change over time. He has an exponential regression model where his predictor is time in months, and response variable is money, measured in thousands of dollars. The alpha value is 4.2, and beta is 1.03. Based on this model, how much money (in thousands) will he have after six months
Answer:
Wayne west would have $5,015 in six months
Step-by-step explanation:
The formula for exponential regression model is y = αβˣ
Where y is amount of money in 1000 dollars
x is time in months
We are given that α = 4.2 and β = 1.03 and x = 6 months
Therefore, based on this model, y = αβˣ, the amount he would have in 6 months, y = [tex]4.2*(1.03) ^{6}[/tex]
y = 5.015 × 1000 = $ 5,015
At the Midlothian Independent Bank, a study shows that the mean ATM transaction takes 74 seconds, the median 63 seconds, and the mode 51 seconds. (a) Check the appropriate choice of distribution based on the statistics given. The distribution should be skewed to the left because the mean is greater than the median. The distribution should be skewed to the right because the standard deviation is greater than the mean. The distribution should be skewed to the right because the mean is greater than the median. The distribution should be skewed to the left because the variance is greater than the mean. (b) Select the factor that might cause the distribution to be like this. Most ATM transactions will tend to be high in duration, but a few will be of longer duration. Most ATM transactions will tend to be low in duration, but a few will be of lower duration.
Answer:
a) The distribution should be skewed to the right because the mean is greater than the median.
b) Most ATM transactions will tend to be low in duration, but a few will be of lower duration.
Step-by-step explanation:
Given:
Mean = 74
Median = 63
Mode = 51
a) We can see that the mean is greater than the median, and the median is greater than the mode. It can be written in this sequence : Mean > Median > Mode.
Therefore, the distribution should be skewed to the right because the mean is greater than the median.
b) Since the mode is less than mean, the duration of view will be longer but there wil be a low value of observation.
Therefore, the factor thay might cause the distribution to be like this is that most ATM transactions will tend to be low in duration, but a few will be of lower duration.
If you know geometry please answer
-geometry
Answer:
8
Step-by-step explanation:
In the diagram, the measure of angle 9 is 85°
Which angle must also measure 85°?
<2
<5
<11
<12
Please help, need answer ASAP !! :)
Answer: 11
Step-by-step explanation:
Vertically opposite angles
Answer: <11
Step-by-step explanation:
<9 and <11 are vertical angles, so they are congruent.
Which equation has the solution x = 12?
(A
4x + 3 = 45
B
5x - 8= 68
2x - 5=29
3x +6=42
Answer:
D). last one
Step-by-step explanation:
a. 4x+3=45
4x=42
x=10.5 (incorrect)
b. 5x-8=68
5x=76
x=25.2 (incorrect)
c. 2x-5=29
2x=34
x=17 (incorrect)
d. 3x+6=42
3x=36
x=12
What is the value of x?
12 units
15 units
20 units
24 units
Answer:
15 units
Step-by-step explanation:
After doing research, I found the problem. Here is the right answer:
Answer:
It's 20 :)
Step-by-step explanation:
Just took it on Edge.
Solve for y:
9y = 81
Answer:
y=9
Step-by-step explanation:
9y=81
divide 9 on both sides
y=9
1
2
5
10
Which of these can be considered "online banking?"
I. A brick-and-mortar bank that allows its customers to transfer money online,
II. A bank that has only a few branches but has customers depositing money online.
III. A bank that does not exist as a real building, but only has an internet presence.
a. I and 11
b. II and III
C.
III only
d. I, II, and III
Please select the best answer from the choices provided
Answer:
C
Step-by-step explanation:
c because it is only online period
A 36 lb. Case of Glenview Farms solid grade AA Unsalted Butter cost $106.16.
What is the unit price per Ib?
Answer:
$2.948
Step-by-step explanation:
:)
Mr. Marchand cut a pizza into 8 equal slices. He ate 2 slices.
Write 2 equivalent fractions to describe how much pizza Mr. Marchand ate.
Write 2 equivalent fractions to describe how much pizza was left
Answer:
He ate 1/4 or 4/16 of the pizza. There are 3/4 or 9/12 of the pizza left.
Answer:
a)
2/8 = 1/4 = 3/12
b)
6/8 = 3/4 = 9/12
You borrow $10,000 from the bank to start a small business. The interest rate is 5.25% and you borrow the money for 5 years. How much INTEREST you will pay on this loan?
Answer:
$2,625 ( i think )
If im right add me on snap pls
idk_marqo
r=8
What is diameter and circumference?
Answer:
C = 50.24
Step-by-step explanation:
First, you multiply 8 by 2, to get the diameter of of 16
Then all you do is, multiply by 3.14(π) and the circumference is 50.24
Hope this helps! :)
What is the mean of the probability distribution?
Answer:
2.0
Step-by-step explanation:
assuming this is from edge 2.0 is correct
Answer:
c
Step-by-step explanation:
At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday. Let X be the number of cancellations on a particular Wednesday. (a) Justify the use of the Poisson model. Cancellations are not independent. Cancellations are independent and similar to arrivals. Most likely cancellations arrive independently. (b) What is the probability that no cancellations will occur on a particular Wednesday
Answer:
a) Cancellations are independent and similar to arrivals.
b) 22.31% probability that no cancellations will occur on a particular Wednesday
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given time interval.
Mean rate of 1.5 per day on a typical Wednesday.
This means that [tex]\mu = 1.5[/tex]
(a) Justify the use of the Poisson model.
Each wednesday is independent of each other, and each wednesday has the same mean number of cancellations.
So the answer is:
Cancellations are independent and similar to arrivals.
(b) What is the probability that no cancellations will occur on a particular Wednesday
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]
22.31% probability that no cancellations will occur on a particular Wednesday
I need help finding slope
Answer & Step-by-step explanation:
In this problem, we a re given two points. These points are (-4, 3) and (-2, -1). We can use these points and put them into the slope formula.
[tex]Slope=\frac{y2-y1}{x2-x1}[/tex]
Now, plug in the points to their respectful places.
[tex]Slope=\frac{-1-3}{-2-(-4)}[/tex]
[tex]Slope=\frac{-4}{2}[/tex]
[tex]Slope=-2[/tex]
So, your slope of the the line is -2.
Find the height of the cylinder if the volume is 225 yard and diameter is 5 yd
Answer:
2.86 yards
Step-by-step explanation:
Height = volume/parameter
Parameter = 1/2 diameter * pi
Height = 225 / parameter
Height=2.86
Ebony waited more than 56 minutes in the doctor’s office. Which set of steps shows how to write an inequality that represents the number of minutes that Ebony waited?
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as 56 minutes. Write the inequality as x greater-than 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as negative 56 minutes. Write the inequality as x minus 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as Negative 56 minutes. Write the inequality as x greater-than negative 56.
Identify the variable as the number of minutes, x. Identify the inequality symbol as greater than. Identify the constant as 56 minutes. Write the inequality as x = 56.
Answer:
A.
Step-by-step explanation:
Given that Ebony waited for more than 56 minutes, option A summarizes the steps to write the inequality.
First, the term "more than" means greater than which is represented by the inequality symbol, >.
So, let's assume that the inequality variable is x and given that the minute she waited for is more than 56.
Writing this together will give
x > 56.
Hence, from the list of given options, only option A gives the actual representation of the statement; while others are not
Answer:
The answer is A
Step-by-step explanation:
I took the test in edge and got it right! Hope this helps!
The measure of an angle is 75°. What is the measure of its supplementary angle?
Answer:
105
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let the unknown angle be x
75+x = 180
Subtract 75 from each side
75+x-75=180-75
x = 105
In a recent survey, 30 students reported whether they liked their potatoes Mashed, French-fried, or Twice-baked. 15 liked them mashed, 20 liked French fries, and 9 liked twice baked potatoes. Additionally, 12 students liked both mashed and fried potatoes, 5 liked French fries and twice baked potatoes, 6 liked mashed and baked, and 3 liked all three styles. How many students hate potatoes? (4 points)
Answer:
Totally 6 people hate potatoesStep-by-step explanation:
Incase the figure is not clear
here, it is
⇒ 30 = 15 + 20 + 9 - 12 - 6 - 5 + 3 + h
⇒ h = 30 - 44 - 3 + 23
⇒ h = 53 - 47
h = 6
Hence, Totally 6 people hate potatoes
Answer: 6 students hate potatoes.
Step-by-step explanation:
The Venn diagram representing the situation is shown in the attached photo.
Set M represents the set of students that like mashed potatoes.
Set F represents the set of students that like French fried potatoes.
Set T represents the set of students that like Twice-baked potatoes.
H represents the number of students that hate potatoes.
3 liked all three styles
The number of students that like mashed and twice baked potatoes only is 6 - 3 = 3
The number of students that like mashed and French fried potatoes only is 12 - 3 = 9
The number of students that like twice baked and French fried potatoes only is 5 - 3 = 2
The number of students that like mashed potatoes only is 15 - (9 + 3 + 3) = 0
The number of students that like French fried potatoes only is 20 - (9 + 3 + 2) = 6
The number of students that like twice baked potatoes only is 9 - (3 + 3 + 2) = 1
Since the total number of students is 30, it means that
0 + 6 + 1 + 3 + 9 + 2 + 3 + H = 30
24 + H = 30
H = 30 - 24
H = 6
