Answers
Answer:
Step-by-step explanation:
(-5/2)²=25/4
Related Questions
Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for
the next 5 days, and then deposited her entire paycheck from Barney's Bagels, bringing
her balance to $750. Then she remembered that she had promised to donate 25% of her
paycheck to charity. How much should she withdraw from savings?
Answers
Answer:
$187.5
Step-by-step explanation:
25% of $750 = $187.5!
All I had to do was divide 750 by 4 and got my answer. You can also double check by multiplying 187.5 by 4 and you'll get the same answer.
5.
The number of days a group of 200 homes is on the market is normally
distributed with a mean of 50 and a standard deviation of 12. Label the
normal distribution curve, then answer the questions.
a. What percent of the homes are on the market between 14 and 86 days?
b. What is the probability that a home is on the market for 62 days or more?
C. Approximately how many homes were on the market between 26 and 50
days?
Answers
Using the normal distribution, given the graph at the end of this problem, we have that:
a. 99.74% of the homes are on the market between 14 and 86 days.
b. 0.1587 = 15.87% probability that a home is on the market for 62 days or more.
c. Approximately 95 homes were on the market between 26 and 50 days.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 50, hence \(\mu = 50\).The standard deviation is of 12, hence \(\sigma = 12\).Item a:
The proportion is the p-value of Z when X = 86 subtracted by the p-value of Z when X = 14, hence:
X = 86:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{86 - 50}{12}\)
\(Z = 3\)
\(Z = 3\) has a p-value of 0.9987.
X = 14:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{14 - 50}{12}\)
\(Z = -3\)
\(Z = -3\) has a p-value of 0.0013.
0.9987 - 0.0013 = 0.9974.
0.9974 = 99.74% of the homes are on the market between 14 and 86 days.
Item b:
The probability is 1 subtracted by the p-value of Z when X = 62, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{62 - 50}{12}\)
\(Z = 1\)
\(Z = 1\) has a p-value of 0.8413.
1 - 0.8413 = 0.1587.
0.1587 = 15.87% probability that a home is on the market for 62 days or more.
Item c:
The proportion is the p-value of Z when X = 50 subtracted by the p-value of Z when X = 26, hence:
X = 50:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{50 - 50}{12}\)
\(Z = 0\)
\(Z = 0\) has a p-value of 0.5.
X = 26:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{26 - 50}{12}\)
\(Z = -2\)
\(Z = -2\) has a p-value of 0.0228.
0.5 - 0.0228 = 0.4772.
Out of 200 homes:
0.4772 x 200 = 95.4
Approximately 95 homes were on the market between 26 and 50 days.
You can learn more about the normal distribution at https://brainly.com/question/24663213
Please I need help!!!!!!
Answers
Answer:
$133
Step-by-step explanation:
$135-$12=
Simplify the following expression when x=14 y=10 z=6 .
3x+3y divided by z
Answers
Select all of the points that are solutions to the linear equation 2x + 9y = 54
Answers
good luck
Step-by-step explanation:
how do we calculate on sixth of 42
Answers
Answer:
1/6 of 42:
first, of is the same as multiplication so change this:
1/6 * 42
put 42 over 1 so they are both fractions:
1/6 * 42/1
Now solve:
42/6
= 7
:) brainliest?
(if u meant the sixth root of 42, it's about 1.86)
Answer:
7
Step-by-step explanation:
42/6=7
What method would you use to square the value 3 + √-1 ? In what other cases would you use this method? Explain.
Answers
Answer:
1) the types of number are the negative integers (e.g √-1 √-3 √-5 are not defined)
2) the answer is No, proof: 2x√-1 is not defined because √-1 doesn't exist
3) the answer is No, proof: √-1 - 3 is not defined because √-1 doesn't exist
4) the answer is Yes, proof: (√-1 )²= -1 this is a real number
5) the answer is No, proof: (√-1 )^3= (√-1 )²(√-1 )= - 1(√-1 ), and - 1(√-1 ) is not defined because √-1 doesn't exist
6) the result would be defined with the following cases:
√-1+n, n>1
√-1xn, n<0
√-1/n, n<0
7) the result would not be defined with the following cases:
√-1+n, n<0
√-1xn, n>0
√-1/n, n>0
8) to square 3 + √-1, I use the method of complex number
i²= -1, it implies i= √-1
so 3+√-1=3+i, and then (3+√-1)²=(3+i)²= 9 -1+6i= 8-i= 8-√-1
9) it is used for finding complex roots of a number
Step-by-step explanation:
For the line that has the equation 3 x_1 +5 x_2=30, an axis intercept is: A) (10,6) B) (0,8) C) (6,10) D) (10,0)
Answers
The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.
The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10
So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).
In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.
Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D
Know more about intercept here:
https://brainly.com/question/14180189
#SPJ11
find the interior angle sum for the following polygon
Answers
Answer:
1620°
Step-by-step explanation:
The figure is an 11-sided polygon and is called hendecagon
The interior angle sum:
180( n-2) n=11
=180(11-2)
=180(9)
=1620°
I hope this help you
You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem. ** remember that time has to be in years.
Answers
Answer:
$312.5
Step-by-step explanation:
Step one
given data
time = 18 months= 1.5 years
Simple Interest= $12
rate= 3.2%
Required
The Principal P
Step two:
The expression for simple interest is
SI=PRT/100
substitute
12=P*3.2*1.2/100
cross multiply
12*100= 3.84P
divide both sides by 3.8
P=1200/3.84
P=$312.5
∠xangle, x and ∠ y ∠yangle, y are supplementary angles. ∠ y ∠yangle, y measures\ 33, degrees. What is the measure of ∠ x ∠xangle, x?
Answers
Answer:
If x and y are supplementary then x + y = 180
If angle y = 33 then angle x = = 180 -33
angle x = 147 degrees
Step-by-step explanation:
When the function f(x) = 3(5)x is changed to f(x) = 3(5)x + 22, what is the effect? (4 points) There will be no change to the graph because the exponential portion of the function remains the same. The y-intercept is 22 spaces higher. The x‐intercept is 22 spaces higher. All input values are moved 22 spaces to the right.
Answers
Answer:
the y-intercept is 22 spaces higher.
Step-by-step explanation:
I don't know, what special operations you want to express with 3(5)x.
as it is written this simply means
3×5×x
no exponents or other special things are visible.
but it should not matter.
whatever is the first function is unchanged the first part of the second function.
so, the only difference is the "+ 22" part.
and that simply means that all y values (the functional result values) are increased by 22.
you know that "f(x) =" has the same meaning as "y =".
and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.
what is the area of the trapezoid shown below?
Answers
Answer:
72 units
its math really
Select all the equations that have no solution
A. x + 6 = 5 + x
B. -2(x - 3) = -2x + 6
C. 4 - 4x = 3x + 2
D. 4(x + 1) = 3(x + 2)
E. 5 - 3x = -3x + 4
Answers
Answer:
A, E
Step-by-step explanation:
x + 6 = 5+x can not be a solution. This is because both of the x's will cancel each other out.
5 - 3x = -3x +4 can not be a solution. The negative 3x's will cancel each other out if you try to balance both sides by doing +3x on both sides.
Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio 1 : 2 : 5 : 4. the four angles of the quadrilateral are °, °, °, and °.
Answers
The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:
1:2:5:4
Let the sides of the quadrilateral be x, 2x, 5x, 4x.
We know the sum of all angles of quadrilateral = 360°
x+2x+5x+4x=360
12x = 360
First angle, x = 30°
Seconds angle, 2x = 2×30 ⇒ 60°
Third angle, 5x = 5×30 ⇒ 150°
Fourth angle, 4x = 4×30 ⇒ 120°
Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Learn more about the quadrilateral here:
brainly.com/question/6321910
The four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Step-by-step explanation:
Help me please! If it’s right I’ll give brainliest
Answers
Answer:
100 i think
Step-by-step explanation:
What is the equation for the line that has a slope of -1/2 and a y-intercept at (0,6)?
Answers
Answer:
y=-1/2+6
Step-by-step explanation:
Answer:
Y= -1/2x + 6
Step-by-step explanation:
Find the solution of the following initial value problem.g'(x)= 3x(x^2 -1/3) ; g(1) = 2
Answers
According to the question we have the solution of the given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .
To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:
g'(x) = 3x(x^2 - 1/3)
Integrating both sides with respect to x, we get:
g(x) = ∫[3x(x^2 - 1/3)] dx
g(x) = ∫[3x^3 - 1] dx
g(x) = (3/4)x^4 - x + C
where C is the constant of integration.
To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:
2 = (3/4)1^4 - 1 + C
2 = 3/4 - 1 + C
C = 9/4
Therefore, the solution of the given initial value problem is:
g(x) = (3/4)x^4 - x + 9/4
In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.
To know more about differential visit :
https://brainly.com/question/31383100
#SPJ11
Please help and thank you
Answers
Answer:
I believe the answer is
\(C. \: (0,0) \: is \: the \: x - \: and \: y - intercept \: of \: the \: function\)
Step-by-step explanation:
Hope this HELPS!
A box is sitting on the floor. The box was then pulled with a force, Ft. The box did not move. The free-body diagram of the box is shown.
A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 20 N. The second vector is pointing right, labeled F Subscript t Baseline = 10 N. The third vector is pointing upward, labeled F Subscript N Baseline = 20 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 10 N. The up and down vectors are the same length. The right and left vectors are the same length.
Which describes the motion of the box based on the resulting free-body diagram?
It is moving up with a net force of 20 N.
It is moving to the right with a net force of 10 N.
It is in dynamic equilibrium with a net force of 0 N.
It is in static equilibrium with a net force of 0 N.
Mark this and return
Answers
I'm not sure if it is dynamic or static equilibrium but if I had to choose I'd say dynamic
Answer:
It is in static equilibrium with a net force of 0 N.
Step-by-step explanation:
EDGE21
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
Answers
Answer:
8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Step-by-step explanation:
(8c-9b)(x-5a)+(3x+3c)(6a-2b)
= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)
= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc
Combining like terms:
= 8cx - 22ac - 15bx + 45ab +18ax - 6bc.
Answer:
8cx + 45ab + 18ax - 2bc - 15bx - 22ac
Step-by-step explanation:
(8c - 9b)(x - 5a) + (3x + 3c)(6a - 2b)8cx - 9bx - 40ac + 45ab + 18ax + 18ac - 6bx - 2bc8cx + 45ab + 18ax - 2bc - 15bx - 22acFind the new side lengths if the scale factor is 2/5. 35 inches 15 iches NEED ANSWER ASAP PLEASEEEE
Answers
Answer:
l = 14 inches , b = 6 inches
Step-by-step explanation:
multiply length l and breadth b by the scale factor , then
new length = \(\frac{2}{5}\) × 35 = 2 × 7 = 14 inches
new breadth = \(\frac{2}{5}\) × 15 = 2 × 3 = 6 imches
Coach Cranford bought bottled water for the basketball team. The bottles each hold 1 pint of water.
How many gallons of water would be equivalent to 24 bottles of water?
Answers
Answer:
3 gallons of water
Step-by-step explanation:
1 gallon = 8 pints
24 pints of water (bottles) divided by 8 would be 3
therefore 24 pints of water is equivelant to 3 gallons of water.
In a local soccer league there are 17 coaches and 323 players. The league commissioner wants to divide up all of the teams evenly. What ratio best represents the number of coaches to the number of players on each team?
Answers
Answer:
the ratio is 17/323 equals 19, therefore there would be 19 players per team.
A=43
B=49
C=180-a-b
What is it
Answers
Answer:
C = 88
Step-by-step explanation:
if you add them all u can put them in this form 180 - (43) - (49) and then i got 88 your welcome :D
T=4U/E SOLVE FOR U please please please help please thank you
Answers
Step by step
You multiply both sides by E to get rid of it then you have TE =4U and then u divide it by 4 and get TE/4 =U
Which expression represents the following statement? Multiply 6 by 3, and then subtract the quotient of 18 and 9.
A) 6 x (3 ÷ 18) + 9
B) 6 + 3 + (18 ÷ 9)
C) (6 x 3) − 18 ÷ 9
D) 6 x (3 + 18) + 9
Answers
Answer:
C) (6 x 3) - 18 ÷ 9
Step-by-step explanation:
I'll solve this question by writing down every step and doing it one by one.
1. Multiply 6 by 3
--> This will be represented as 6 x 3.
2. Subtract the quotient of 18 and 9
--> The quotient is a number resulting in a division of another number. In this case, 18 is bigger than 9, so the quotient will be: 18 ÷ 9.
--> Since we are subtracting this from the equation we got earlier, it can be expressed as (6 x 3) - (18 ÷ 9)
This equation is the same as C) (6 x 3) - 18 ÷ 9, so C is our final answer.
What is an equation of the line that passes through the point (-2,-4) and isparallel to the line 5x-2y = 6?
Answers
y = mx + b
Is parallel to line 5x - 2y = 6
Slope m= ?
write
5x - 6= 2y
(5/2)x - (6/2)= y
2.5x - 3 = y
Then Slope m= 2.5
equation is y= 2.5x + b
Now, find b
b= y - 2.5x
Replace point (-
I’m confused on what number 4 means. Can someone please help?
Answers
According to the given dot plot there are 18 students in the class.
3. From the given dot plot, we can see there are 18 students in the class.
4. In the class there are 18 students, survey is done on what kind of music each student like and what kind of Music CDs each student brought.
Therefore, according to the given dot plot there are 18 students in the class.
Learn more about the dot plot here:
brainly.com/question/22746300.
#SPJ1
A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?
Answers
Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
si
Step-by-ste