What is the product?
One-third times 33.99
Answer:
11.33
Step-by-step explanation:
um I'm not that good at explaining but...
33/3=11
99/3=33
put it together
11.33
A customer service representative must spend different amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be modeled by the following distribution : X~Exp (0.2)
Find the quartile 3. Round to the nearest tenth.
Answer:
The quartile 3 is 0.3
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
X~Exp (0.2)
This means that [tex]m= 0.2, \mu = \frac{1}{0.2} = 5[/tex]
Find the quartile 3.
The 3rd quartile is the 75th percentile, for which [tex]P(X \leq x) = 0.75[/tex], or [tex]P(X > x) = 1 - 0.75 = 0.25[/tex]
Since
[tex]P(X > x) = e^{-\mu x}[/tex]
[tex]e^{-5x} = 0.25[/tex]
[tex]\ln{e^{-5x}} = \ln{0.25}[/tex]
[tex]-5x = \ln{0.25}[/tex]
[tex]x = -\frac{\ln{0.25}}{5}[/tex]
[tex]x = 0.277[/tex]
Rounding to the nearest tenth, the quartile 3 is 0.3.
3/4x - 7 > 5
whats the inequality ?
Answer:
x > 16
Step-by-step explanation:
3/4x > 12
3x > 48
x > 16
hope this helps
Plz help ASAP WILL MARK U BRAINIEST
In the spring of 2017, the Consumer Reports National Research Center conducted a survey of 1,007 adults to learn about their major healthcare concerns. The survey results showed that 579 of the respondents lack confidence they will be able to afford health insurance in the future. (a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future. (Round your answer to two decimal places.) (b) At 90% confidence, what is the margin of error
Answer:
a) The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
b) The margin of error is of 0.03.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Point estimate:
The point estimate is [tex]\pi[/tex].
Margin of error:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
(a) What is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future.
579 out of 1007 adults. So
[tex]\pi = \frac{579}{1007} = 0.575[/tex]
Rounding to two decimal places, 0.58
The point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future us 0.58.
(b) At 90% confidence, what is the margin of error
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.58*0.42}{1007}}[/tex]
[tex]M = 0.03[/tex]
The margin of error is of 0.03.
7. A shopkeeper buys a stove from a manufac-
turer. The shopkeeper sells the stove for $2 500
at a profit of 20%.
(a) What amount did the shopkeeper pay the
manufacturer for the stove?
Answer:
I believe the amount that the shopkeeper would've paid for the stove is $2083
Step-by-step explanation:
2500×100/120 = 2083.33
Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42
Answer:
The answer is answer D, x=42.
Step-by-step explanation:
To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.
Can y’all help me on question 25
plssss help i just need the answer
Answer:
x=19
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
6x+3x-5+14=180
9x+9=180
-9 -9
9x=171
/9 /9
x=19
Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.
1. Write the equation for Andre's savings.
2. Graph it alongside Noah's.
3. What does the intersection point mean in this situation?
Answer:
1. he started with 15 and 5 per week. w is week
a is andre
a = 15 + 5w
Step-by-step explanation:
Answer: 1. Y= 5x + 15
2. Start at 15 and go up 5
3.when they both had the same amount of money at the same time
Step-by-step explanation:
In a recent survey, 15 skydivers said that they have never had a skydiving accident. This was 60% of the total number of skydivers that were surveyed. What was the total number of skydivers surveyed?
Answer:
total sky divers is 25
Step-by-step explanation:
60% = 15 skydivers
divide by 6 both sides
10% = 2.5
times by 4 both sides
40%=10
_________
60%+40%=100%
15+10=25
I need help I'll give out 40 points quickly
Answer:
The figure in the upper right corner.
A trapezoid has two parallel sides
Step-by-step explanation:
Answer:
The answer would be the shape on the right side on the top! NOT THE Rectangle (on the right bottom side) or the rhombus (on the left top side). The shape on the left bottom side IS a trapezoid.
Hope that helps. And this wasnt worth 40 points, it was only 5 points!?
Susie is paying $568.97 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
Step-by-step explanation:
Take the paying multiply by months then take the years - the total loan
so you'd have 568.97(12)30-150000=54829.20
Identify the cross section that results from slicing the three-dimensional figure.
A)
prism
B)
rectangle
square
D
triangle
answer is b
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i thing bbbbbbbbbbbbb
PLEASE HELP I ONLY HAVE 4 MINUTES :(
Answer:
28.3
Step-by-step explanation:
2 x r x pi = 9 x pi = 28.27433388
to the nearest tenth 28.3
Which of the points shown below are on the line given by the equation y = 4x?
Check all that apply.
Answer:
its B and C
Step-by-step explanation:
Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'
The line for the graph x=1 is the line of reflection that reflects triangle ABC onto triangle A'B'C'.
You have to find the middle points between each pair of identical points and then join them.
The solution is, x = 1 will be the line of reflection.
What is reflection?In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.
here, we have,
from the given information , we get,
Coordinates of the vertex A → (-4, -6)
Coordinates of the vertex A' → (6, 6)
Since, y-coordinates are same opposite in notation,
Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.
And points A and A' will be equidistant from the line of reflection.
Midpoint between A and A' = (x1+x2/2) , (y1+y2/2)
= (-4+6 / 2 , -6+6 /2)
= (1, 0)
Therefore, x = 1 will be the line of reflection.
To learn more on reflection click:
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on june 1 Mary Barkley deposited 1000 in a savings account that pays 5.5 percent interest compounded daily. on june 26th, how much interest had been earned on the principal in her account?
9514 1404 393
Answer:
3.77
Step-by-step explanation:
For daily compounding, the balance is ...
A = P(1 +r/365)^n . . . . principal P invested at annual rate r for n days
A = 1000(1 +0.055/365)^25 ≈ 1003.77
Of this amount, 1000 is the original principal. The difference is the interest.
The interest earned is 3.77.
this is exactly what the question says:
"Solve the following system of equations."
-5x+3y=22
-6x+7y=23
I have to figure out x and y
Answer:
x = - 5, y = - 1
Step-by-step explanation:
Given the 2 equations
- 5x + 3y = 22 → (1)
- 6x + 7y = 23 → (2)
Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term
30x - 18y = - 132 → (3)
- 30x + 35y = 115 → (4)
Add (3) and (4) term by term to eliminate x
0 + 17y = - 17
17y = - 17 ( divide both sides by 17 )
y = - 1
Substitute y = - 1 into either of the 2 equations and solve for x
Substituting into (1)
- 5x + 3(- 1) = 22
- 5x - 3 = 22 ( add 3 to both sides )
- 5x = 25 ( divide both sides by - 5 )
x = - 5
Given that triangle ABC ~ XYZ, AB= 4,XY=3,and XZ= 5, find AC
Answer:
[tex]AC = \frac{20}{3}[/tex]
Step-by-step explanation:
Given
[tex]AB = 4[/tex]
[tex]XY = 3[/tex]
[tex]XZ = 5[/tex]
Required
Find AC
ABC XYZ
To solve AC, we make use of the following equivalent ratios.
[tex]AB : AC = XY : XZ[/tex]
This gives:
[tex]4 : AC = 3 : 5[/tex]
Express as fraction
[tex]\frac{4 }{ AC }= \frac{3 }{ 5}[/tex]
Cross multiply
[tex]3 * AC = 4 * 5[/tex]
[tex]3 * AC = 20[/tex]
Solve for AC
[tex]AC = \frac{20}{3}[/tex]
The 7% sales tax on a new $32,000 car.
Answer:
$34,240
Step-by-step explanation:
7% of $32,000 is $2,240
$32,000+$2,240=$34,240
A study conducted to measure the academic performance and attention span of teenagers reported that the mean time to distraction for 80 teenage boys working on an independent task was 6.2 min in the study with a sample standard deviation of 2.1 minutes. Is there convincing evidence that the average attention span for teenage boys is more than 5 minutes
Answer:
we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes
Step-by-step explanation:
H0 : μ ≤ 5
H1 : μ > 5
Sample mean, xbar = 6.2
Sample Standard deviation, s = 2.1
Sample size, n = 80
The test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(6.2 - 5) ÷ (2.1 / sqrt(80))
1.2 ÷ 0.2347871
Test statistic = 5.1110133
Testing with α = 0.05
Using Pvalue from a test score calculator :
Pvalue = < 0.00001
0.00001 < 0.05
Since,
Pvalue < α ; We reject H0
Hence, we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes.
llyssa spent 3/8 of her money on a bag. she gave 2/5 of the remaining amount to her sister. What fraction of her money was left with?
Answer:
3/8
Step-by-step explanation:
After spending 3/8 of her money on a bag, she has 5/8 of the original amount of money left. As she gave 2/5 of the remaining amount of money to her sister, she gave 1/4 of the original amount of money to her sister (5/8 × 2/5 = 1/4). Therefore, there's only 3/8 (1 - 3/8 - 1/4 = 3/8) of the original amount of money left in her bag.
A container holds 54.6 gallons of liquid. The container leaks 8.4 gallons per hour.
How many hours will it take for the container to empty?
Answer:
6.5
Step-by-step explanation:
im doing this for points ok
The solution is, it take 6.5 hours for the container to empty.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,,
given that,
A container holds 54.6 gallons of liquid.
The container leaks 8.4 gallons per hour.
i.e. we get,
8.4 gallons leak in 1 hour
so, 54.6 gallons will leak in = 54.6/ 8.4 hours
now, we get,
54.6/ 8.4
=6.5
Hence, The solution is, it take 6.5 hours for the container to empty.
To learn more on division click:
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what is 18 + (31-19) x 3
Answer:
18+(93-57)
18+(36)
54
Step-by-step explanation:
Multiply before addition.Using bodmas
Explain the steps for moving three disks from one peg to another. Start with moving the small disk to the right peg. (written response)
Answer: move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.
Step-by-step explanation:
Answer:
Move the medium disk to the left peg.
Move the small disk to the left peg.
Move the large disk to the right peg.
Move the small disk to the middle peg.
Move the middle disk to the right peg.
Move the small disk to the right peg.
Step-by-step explanation:
Part B and #2 please 15 points
Answer:
See answers below
Step-by-step explanation:
Perimeter of a square = 4L
L sis the side length of the square
L = 5x^4y^2
perimeter = 4(5x^4y^2)
perimeter = 20x^4y^2
2) Length = 6x-10
Width = 4x+3
Area of rectangle = Length * Width
Area of rectangle = (6x-10)(4x+3)
Area of rectangle = 24x^2+18x-40x-30
Area of rectangle= 24x^2-22x-30
perimeter = 2(L+W)
perimeter 2(6x-10+4x+3)
perimeter = 2(10x-7)
perimeter = 20x-14
Hence the perimeter of the rectangle is 20x-14
PLS HELP ME ASAPPP!!!!
Answer:f is the answer
Step-by-step explanation:
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed 79.5 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:
Answer:
It's the graphic A.
,,,,,,
who is the president of Tanzania?
Answer:
Samia Suluhu HassanStep-by-step explanation:
Answer:
The current president of the United Republic of Tanzania is
Her excellency Mama Samia Suluhu Hassan.
Step-by-step explanation:
Respect to this woman .
She is from the beautiful island of Zanzibar.
UR of Tanzania is a union government of Tanganyika and Zanzibar .
Currently the president ofZanzibar is from Zanzibar islands and the president of Tanzania also is from Zanzibar islands
Respectt to Zanzibar islands.