Answer:
5/6
Step-by-step explanation:
1/6 x 5=5/6
What is the perimeter of rectangle J K L M
Step-by-step explanation:
you could count the squares around the shape or you could do it by points
For example point M is (2,3)
L is (6,3)
We want to find the length of this side so we subtract the x values
6 - 2 = 4 units
that gives use the length of that leg and since a rectangle is symmetrical, you can just measure 2 sides
sume that the change in daily closing prices for stocks on the New York Stock Exchange is a random variable that is normally distributed with a mean of $0.35 and a standard deviation of $0.33. Based on this information, what is the probability that a randomly selected stock will close up $0.75 or mor
Answer:
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of $0.35 and a standard deviation of $0.33.
This means that [tex]\mu = 0.35, \sigma = 0.33[/tex].
What is the probability that a randomly selected stock will close up $0.75 or more?
This is 1 subtracted by the p-value of Z when X = 0.75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.75 - 0.35}{0.33}[/tex]
[tex]Z = 1.21[/tex]
[tex]Z = 1.21[/tex] has a p-value of 0.8869.
1 - 0.8869 = 0.1131
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.
Plz help me well mark brainliest if correct
all of the above which is e
A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?
Answer:
The distance between the two towns is of 1000 km.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
We have that:
3 cm represents a distance of 400 km.
What is the distance represented by 7.5 cm?
3 cm - 400 km
7.5 cm - x km
Applying cross multiplication:
[tex]3x = 400*7.5[/tex]
[tex]x = \frac{400*7.5}{3}[/tex]
[tex]x = 1000[/tex]
The distance between the two towns is of 1000 km.
Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations
Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units
Answer:
The answer here depends on whether you want to do them individually or collectively. If we go individually, then:
The vertical scaling gives us y = 3x³
The vertical translation gives us y = x³ + 4
The horizontal translation gives us y = (x + 2)³
On the other hand, if we want to apply all three at the same time, we get:
starting with a vertical scaling of 3, we get:
start with scaling: y = 3x³
add vertical translation: y = 3x³ + 4
and finally add horizontal translation: y = 3(x + 2)³ + 4
ellus
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
Answer:
SA = 484 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)
✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 7 cm
H = 12 cm
S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²
✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 2 cm
H = 2 cm
S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²
✔️Base area of the smaller rectangular prism = L*W
L = 7 cm
W = 2 cm
Area = 7*2 = 14 cm²
✅Surface area of the composite figure = 434 + (64 - 14)
= 434 + 50
= 484 cm²
A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10.2 hours per week. Is the amount of time greater than that for this year
Answer:
mu = the population true mean time spent by teenagers playing computer game this year
Step-by-step explanation:
Dear student, there is no much information given to answer this question but we will try as much as possible to explain (what is the parameter) of the true mean.
In 1990s;
μ = 10.2 hours/week
From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.
In this situation, the population parameter is the population true mean mu = the population true mean.
A teacher is comparing the quarter grades between two of her classes. She takes a random sample of 8 students from each class and lists the grades as shown. Find the mean for Class A.
Class A: 80, 83, 74, 91, 76, 87, 93, 72
Class B: 90, 75, 82, 86, 73, 85, 79, 94
In a small metropolitan area, annual losses due to storm, fire, andtheft are assumed to be independent, exponentially distributed random variableswith respective means 1.0, 1.5, 2.4. Determine the probability that the maximumof these losses exceeds 3.
Answer:
[tex]0.4138[/tex]
Step-by-step explanation:
Given
[tex]x \to storm[/tex]
[tex]\mu_x = 1.0[/tex]
[tex]y \to fire[/tex]
[tex]\mu_y = 1.5[/tex]
[tex]z \to theft[/tex]
[tex]\mu_z = 2.4[/tex]
Let the event that the above three factors is greater than 3 be represented as:
[tex]P(A > 3)[/tex]
Using complement rule, we have:
[tex]P(A > 3) = 1 - P(A \le 3)[/tex]
This gives:
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
-----------------------------------------------------------------------------------------------------------
The exponential distribution formula of each is:
[tex]P(x \le k) = 1 - e^{-\frac{k}{\mu}}[/tex]
So, we have:
[tex]k = 3; \mu_x = 1[/tex]
[tex]P(x \le 3) = 1 - e^{-\frac{3}{1}} = 1 - e^{-3} = 0.9502[/tex]
[tex]k=3; \mu_y = 1.5[/tex]
[tex]P(y \le 3) = 1 - e^{-\frac{3}{1.5}} = 1 - e^{-2} = 0.8647[/tex]
[tex]k = 3; \mu_z = 2.4[/tex]
[tex]P(z \le 3) = 1 - e^{-\frac{3}{2.4}} = 1 - e^{-1.25} = 0.7135[/tex]
-----------------------------------------------------------------------------------------------------------
[tex]P(A > 3) = 1 - P(\{x \le 3\}\ n\ \{y \le 3\}\ n \{z \le 3\}\)[/tex]
[tex]P(A > 3) = 1 - (0.9502 * 0.8647 *0.7135)[/tex]
[tex]P(A > 3) = 1 - 0.5862[/tex]
[tex]P(A > 3) = 0.4138[/tex]
Need help with it I don’t know how to do it
2) Use the law of sines to find the length of SR
sin(A)/a=sin(B)/b=sin(C)/c
Answer:
take 28 degree as reference angle
using sine angle
sin28=p/h
0.46=10/h
0.46h=10
h=10/0.46
h=21.73
therefore hypotenuse =21.73
again using sine rule
take 25 degree as reference angle
sin 25=p/h
0.42=SR/21.73
0.42*21.73=SR
9.12=SR
9.1=SR
Step-by-step explanation:
Which of the following CANNOT be true for a triangle?
A. A triangle can be equilateral and obtuse at the same time.
B. A triangle can be equilateral and equiangular at the same time.
C. A triangle can be isosceles and right at the same time.
D. A triangle can be scalene and obtuse at the same time.
Answer:
A. A triangle can be equilateral and obtuse at the same time
Step-by-step explanation:
All angles in an equilateral triangle are 60° therefore they cannot be above 90° and less than 180°
Ive been stuck on this problem for an hour, help pleaseee.
The graph of the function is given below. Give all y-intercepts and x-intercepts shown.
Answer:
y intercept: [tex]y = 1[/tex]
x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]
Step-by-step explanation:
Given
The attached graph
Solving (a): The y intercepts
This is the point where [tex]x = 0[/tex]
From the attached graph, [tex]x = 0[/tex] when
[tex]y = 1[/tex]
Hence, the y intercept is 1
Solving (b): The x intercepts
This is the point where [tex]y = 0[/tex]
From the attached graph, [tex]y = 0[/tex] when
[tex]x = -1[/tex] and [tex]x = -3[/tex]
Hence, the x intercept are -1 and -3
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Answer:
1/18
Step-by-step explanation:
[tex]\frac{1}{9}[/tex]÷2
make 2 a fraction
[tex]\frac{1}{9}[/tex]÷[tex]\frac{2}{1}[/tex]
cross multiply
1*1
9*2
[tex]\frac{1*1}{9*2}[/tex]
[tex]\frac{1}{18}[/tex]
Answer:
Step-by-step explanation:
You always invert the second number in a division question and then multiply. This one is a little different. It has three levels. What do you do about that?
[tex]\frac{\frac{1}{9} }{\frac{2}{1} }[/tex]
Now you have a four level question which is handled the same way as all four level question.
Invert the bottom and multiply. Invert means turn upside down. So you turn the 2/1 upside down and you get 1/2
[tex]\frac{1}{9}*\frac{1}{2}[/tex]
What you get is 1/18 The green box with the question mark is a 1.
One minus the product of four and a number z
Answer:
1-(4×z) is the expression
Answer:
1 - 4z
Feel free to mark this as brainliest :D
In order to determine if there is a significant difference between campuses and pass rate, the chi-square test for association and independence should be performed. What is the expected frequency of West Campus and failed
Answer:
57.5
Step-by-step explanation:
The expected frequency of West Campus and Failed :
Let :
Failed = F
East Campus = C
West Campus = W
Passed = P
Frequency of FnW :
[(FnE) + (FnW) * (PnW) + (FnW)] / total samples
[(52 + 63) * (63 + 37)] / 200
[(115 * 100)] / 200
11500 / 200
= 57.5
n(Failed n East campus)
Answer:
57.5
Step-by-step explanation:
Got it right on the test.
brainliest for answer
Answer:
what is the question?
Step-by-step explanation:
Answer:
i answered
Step-by-step explanation:
Sum of 4x^3+6x^2+2x^2-3 and 3x^3+3x^2-5x-5 is
9514 1404 393
Answer:
7x^3 +11x^2 -5x -8
Step-by-step explanation:
Combine like terms.
(4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)
= 7x^3 +11x^2 -5x -8
_____
Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...
(4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)
= 7x^3 +9x^2 -3x -8
a model truck is 13.5 inches long 7.5 inches wide. the original truck was 12 feet long. how wide was the truck?
Answer:
w = 6ft 8in
Step-by-step explanation:
the proportions will be the same
w/7.5 = 12/13.5
multiply both sides by 7.5
w = 12/13.5 * 7.5
w = 6.6666666667ft
w = 6ft 8in
The original truck was 6.67 feet wide.
What is ratio?"It is a comparison of two or more numbers that indicates their sizes in relation to each other."
What is proportion?"It is an equation in which two ratios are set equal to each other."
For given example,
A model truck is 13.5 inches long 7.5 inches wide.
The ratio of length to width of a model truck would be,
13.5 : 7.5 ...........................(1)
The original truck was 12 feet long.
This means the original truck was 144 inches long.
Let 'x' be the width (in inches) of the original truck.
So, the ratio of the length to the width of the original truck would be,
144 : x .................................(2)
Also, the ratios given by (1) and (2) must be in proportion.
[tex]\Rightarrow \frac{13.5}{7.5} = \frac{144}{x} \\\\\Rightarrow 13.5 \times x = 144 \times 7.5\\\\\Rightarrow \bold{x=80~inches}\\\\\Rightarrow \bold{x=6.67~feet}[/tex]
Therefore, the original truck was 6.67 feet wide.
Learn more about ratio and proportion here:
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I need help on this question
Answer:
C. y = 8x
Step-by-step explanation:
Using the slope formula, we can calculate the rate of Marisol's and Timothy's Machines.
[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]
Marisol:
[tex]m = \frac{18-12}{3-2} \\m=6[/tex]
Timothy:
[tex]m=\frac{54-36}{6-4} \\m=\frac{18}{2} \\m=9[/tex]
Now that we know the rate of their machines, we need to choose a rate that is between 6 and 9. Therefore, the rate of Zorian's machine needs to be y = 8x.
convert 4/5 into percent
28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.
Answer: The coefficient of determination = 0.6291
Step-by-step explanation:
Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.
The coefficient of determination is computed as:
[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]
Substituting given values, we get
[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]
[tex]=0.6291[/tex]
Therefore, the coefficient of determination = 0.6291
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 14, p = 0.8[/tex]
P(x>10)
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]
[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]
[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]
[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]
So P(x > 10) = 0.6981.
A researcher selects a sample and administers a treatment for anxiety to the individuals in the sample. If the sample is used for a hypothesis test, what does the null hypothesis (H0) put forth about the treatment? *
Answer:
H0 : the treatment has no effect
Step-by-step explanation:
The test is formulated as hypothesis . Here the test ist that whether the treatment has affected or not . So the null hypothesis can be formulated as
H0 : the treatment has no effect
against the claim
Ha: the treatment has an effect.
The null hypothesis is the test performed and the alternate hypothesis is the claim against the test. Therefore they are opposite of each other.
Find each quotient.
494 ÷ 95 =
136.8 ÷ 24 =
96.9 ÷ 19 =
43.2 ÷ 8 =
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.425 or 5.4
Step-by-step explanation:
hope this helps :)
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.4
Step-by-step explanation:
you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.
Answer:
1 = 100% probability that a person will wait for more than 33 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean waiting time is 55 minutes and the variance of the waiting time is 11.
This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]
Find the probability that a person will wait for more than 33 minutes.
This is 1 subtracted by the p-value of Z when X = 33. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]
[tex]Z = -6.63[/tex]
[tex]Z = -6.63[/tex] has a p-value of 0.
1 - 0 = 1
1 = 100% probability that a person will wait for more than 33 minutes.
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
It's C, 4/3! Just did the question and got it right
Step-by-step explanation:
The limit of f(x) as x approaches negative 1 is four thirds.
What is Limits?Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.
Given function is,
[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]
We have to find the value of the limit as x approaches to negative 1.
This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.
We have,
f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1
Substitute x = -1 in the above equation
x² - [tex]\frac{1}{3}[/tex] x = (-1)² - (1 / 3) (-1)
= 1 + [tex]\frac{1}{3}[/tex]
= [tex]\frac{4}{3}[/tex]
[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]
Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.
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solve the following equation 4 x + 10 = 66
-> 4x= 66-10
-> 4x= 56
-> x= 56/4
-> x= 14
mark me brainliestttt plsss :)))
Answer:
x = 14.
Step-by-step explanation:
4x + 10 = 66
4x + 10 - 10 = 66 - 10
4x = 56
x = 56/4 = 14.
Order the following units of a capacity families to greatest gallon paint cup quart
Answer:
7 yards
Step-by-step explanation:
help please ande hank ou
Answer:
5/27
Step-by-step explanation: