Answer:
(1) 0 and 1
(2) Correct option D
Step-by-step explanation:
It is provided that pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.
Let X denote the pulse rates of women.
(1)
Let us consider a random variable, X that follows N (µ, σ²), then [tex]Z=\frac{X-\mu}{\sigma}[/tex], is a standard normal variate with mean, E (Z) = 0 and variance V (Z) = 1.
That is, Z follows N (0, 1).
In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.
Thus, z-scores are a type of standardized scores.
The values of the mean and standard deviation after converting all pulse rates of women to z scores are 0 and 1 respectively.
(2)
The z scores are numbers without units of measurement.
Darin in recorded the height of a tree planted from a seed at different time intervals.His data is shown in the table below
Answer: C
Step-by-step explanation:
What is 4y+2y simplified by?
Answer:
4*y+2*y
Step-by-step explanation:
what do i fill out in empty space :/?
Step-by-step explanation:
It is a ratio so it will be
3:2
1: .67
It's using theorms. Both 8,9
The line segment and ray with the arrow markers on them are parallel, so y = 30 because they are alternating interior angles.
Similarly, x = 75 because it corresponds on the angle with measure 75º at the top of the triangle. This also follows from the given two parallel lines.
Answer:
I don't know, Sorry
Step-by-step explanation:
A survey of country club members finds that 70% of members use the golf course, 50% use the tennis courts, and 5% use neither the golf course nor the tennis courts. Although you are not told whether use of the golf course is independent from use of the tennis courts, you are asked to identify the probability that a randomly selected member uses the golf and tennis courts. What is this probability that the member uses the golf course but not the tennis courts?
Complete Question
A local country club has a membership of 600 and operates facilities that include an 18-hole championship golf course and 12 tennis courts. Before deciding whether to accept new members, the club president would like to know how many members use each facility. A survey of the membership indicates that 70% use the golf course, 50% use the tennis courts, and 5% use neither of these facilities. One club member is chosen at random. What is the probability that the member uses either the golf or the tennis facilities?
Answer:
The value is [tex]f = 0.45[/tex]
Step-by-step explanation:
From the question we are told that
The number of members is n = 600
The proportion of those that use the golf course is p = 0.70
The proportion of those that use the tennis courts is q = 0.50
The proportion of those that use neither of these facilities is k = 0.05
Generally the probability that a member use the golf course or the tennis court is
[tex]c = 1 - q[/tex]
=> [tex]c = 1 - 0.05[/tex]
=> [tex]c = 0.95[/tex]
Generally the probability that a member use the golf course or the tennis court can also be represented as
[tex]c = p + q - z[/tex]
Here z represent the probability that a member uses golf course and tennis court
So
[tex]0.95= 0.7 +0.50 - z[/tex]
=> [tex]z = 0.25[/tex]
Generally the probability that the member uses the golf course but not the tennis courts is mathematically represented as
[tex]f = p -z[/tex]
=> [tex]f = 0.70 -0.25[/tex]
=> [tex]f = 0.70 -0.25[/tex]
=> [tex]f = 0.45[/tex]
Write an equation in standard form for the line with a slope of 7 that passes through the point (1, 2).
Answer:
y=7x+2
please someone correct this if I'm wrong :D
EDIT: THIS IS SLOPE INTERCEPT FORM IM SORRYY
Step-by-step explanation:
y=mx+b
y=7x+b
y=7x+2
2 is the y in (1,2), y intercept
Please help me I really need the answer
Answer:
60 minutes
Step-by-step explanation:
its the first time they line up.
Four gallons of gasoline cost $14.
A customer will get
gallon for $3.50.
A customer will get
gallons for $7.00.
A customer will get
gallons for $14.00.
A customer will pay $
for 6 gallons.
Answer:
A customer will get 1 gallon for $3.50.
A customer will pay $ 21 for 6 gallons.
A customer will get 4 gallons for $14.00.
A customer will get 2 gallons for $7.00.
Step-by-step explanation:
This is solved using the unitary method .
Four gallons cost $ 14
1 gallon costs $ 14/4= $ 3.5
6 gallons cost = $ $ 14/4 *6= $ 21
2 gallons cost = $ 14/4 *2= $14/2= $ 7
A customer will get 1 gallon for $3.50.
A customer will pay $ 21 for 6 gallons.
A customer will get 4 gallons for $14.00.
A customer will get 2 gallons for $7.00.
This can be found out by using the direct ratio as well.
Gallons Cost
4 $14
1 x
Using cross product
x*4= $ 14*1
x= $ 14/4 = $3.5
The same can be applied to find the rest and we get the same answers.
Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?
12
20
15
10
Answer:
20
Step-by-step explanation:
Answer:
D 10
because 400=400
Step-by-step explanation:
N :700 - 30 (x)
L : 200 - 20 (x)
so the 1st week they'll both equal
N:670
L:220
we'll continue the subtraction process until they both hit and equal amount or hit zero
or the faster way, use the options of weeks were giving
lets try A
12th week
L: 12 x 30 = 360
700- 360 = 340
N: 12 x 20 = 240
200 + 240 = 440
340 < 440
we're a bit off from equal so next is B
N: 30 x 20 = 600
700 - 600 = 100
L: 20 x 20 = 400
200+ 400 = 600
100<600
this is incorrect as well which makes it incorrect which makes the user above incorrect
c.
N; 15 x 30 = 450
700 - 450 = 250
L: 15 x 20 = 300
200 + 300 = 500
250 < 500
Incorrect
the last option might be correct but lets check
30 x 10 = 300
700-300 = 400
10 x 20 = 200
200+200 = 400!
400=400 D is correct
Neil buys a refrigerator that costs him $995 plus a 9.3% sales tax rate. what is the sales tax of the retail purchase. round to two decimal place
Answer:
$92.54
Step-by-step explanation:
sales tax = cost * tax rate
= 995 * .093
= 92.535
And ice cream stand sold $1600 worth of ice cream on Saturday which was four times the amount sold on Friday how much money did the ice cream man collect on Friday no
Answer:
$400
Step-by-step explanation:
Saturday: $1600, 4 times the amount of Friday
Friday: 1/4 the amount of Saturday
Friday: 1/4 * $1600 = $400
A car is moving at an acceleration of 20 m/s^2 and hits a wall with a force of 400 N. What is the mass of the car?
i dont know the answer but i know in the end ill get free points.
Answer:
Acceleration = change in velocity/change in time, a = (vf - vi)/t [Units: m/s/s or m/s2] .. Example: A car collides with an insect. If the car exerts a force of 10N on the insect what ... a level sidewalk at a constant speed of 1m/s if the frictional force is 400N? ... d) When the stick is hit slowly string 2 breaks because of the inertia of mass M.
B
m2
= 540
(4.x - 10)
(2x + 7)
(741-25)
Answer:2=540(4x-10)(2x+7)(741-25)
Step-by-step explanation:
Help me PLEASE! will mark brainliest and also the other things
THX :)
Answer:
for A n=6
for B x= 3.5
Step-by-step explanation:
A. so if you know what one thing is (10)then you sub them 28-10=18 now do 18/3 which is 6
b. same think but you do 7/2 which is 3.5
HOPE THIS HELPED!!!!!!!! :)
Suppose the weather at Chebyshev Citadel is either sunny or cloudy. A sunny day is followed by a sunny day with probability 0.7, and a cloudy day is followed by a sunny day with probability 0.5. If it is sunny today, what is the probability that it will be sunny 3 days later
Answer:
0.628
Step-by-step explanation:
From the information given:
Let S represent sunny days and C represent cloudy days;
S is expressed in the matrix to be in the first row and first column
C is expressed in the matrix to be in the second row and second column
Then, the transition for the probability matrix can be computed as follows:
[tex]P = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]
[tex]P^2 = \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right] \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]
[tex]P^2 = \right. \left[\begin{array}{cc}0.49+0.15&0.21+0.15\\0.35+0.25&0.15+0.25\\\end{array}\right] \right.[/tex]
[tex]P^2 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right.[/tex]
[tex]P^3 = \right. \left[\begin{array}{cc}0.64&0.36\\0.60&0.40\\\end{array}\right] \right. \right. \left[\begin{array}{cc}0.7&0.3\\0.5&0.5\\\end{array}\right][/tex]
[tex]P^3 = \right. \left[\begin{array}{cc}0.628&0.372\\0.62&0.38\\\end{array}\right] \right.[/tex]
So, if it is sunny, the probability that it is going to be sunny 3 days later = 0.628
Using the transition of the events, it is found that there is a 0.628 = 62.8% probability that it will be sunny 3 days later.
The transition of events, considering that it is sunny today and we want it to be sunny 3 days later, is given by:
S - S - S - S
S - C - S - S
S - S - C - S
S - C - C - S
Considering the probabilities stated in the exercise(S - S: 0.7, S - C: 0.3, C - S: 0.5, C - C: 0.5), for the last three days, the probability is:
[tex]p = 0.7^3 + 0.3(0.5)(0.7) + 0.7(0.3)(0.5) + 0.3(0.5)(0.5) = 0.628[/tex]
0.628 = 62.8% probability that it will be sunny 3 days later.
A similar problem is given at https://brainly.com/question/22410644
Which of the following situations would make it nearly impossible to do a census?
A. Find what percentage of students at a local university own bicycles.
B. Find the percentage of male students at a middle school who support school uniforms.
C. Determine the proportion of employees at the local fast food restaurant who work another job.
D. Determine what percentage of octopi in the ocean can change color.
10
The following table shows Edward's bank account for the month of May.
Date
Deposit Withdrawal Balance
May 2nd
$1,000
$1,000
May 9th
$250
$750
May 10th
$320
$430
May 26th
$10
$
May 27th
$500
$
Determine the account balance on May 26th and May 27th.
How much were the net withdrawals for the month of May?
dollars.
Answer: 440 dollars and -60
Step-by-step explanation:
Add ten to 430 and you’ll get 440. With a withdrawal of 500 and a balance of 440, the answer will be a negative 60 dollars.
Rectangle DEFG with vertices D(-2, 7), E(2, 3), F(0, 1), and G(-4, 5):
a) translation along the rule (x,y) → (x+6, y-8)
b) reflection in the y-axis
D'(_, _)
E'(_, _)
F'(_, _)
G'(_, _)
Answer:
D' (-4, -1)
E' (-8, -5)
F' (-6, -7)
G' (-2, -3)
Step-by-step explanation:
To solve this each point would go under this:
(x, y) --> (-1(x + 6), y - 8)
the x + 6 and y - 8 are the transformation. The -1 multiplied by x represents the reflection over the y-axis
D --> D':
(-2, 3) --> (-4, -1)
E -- E':
(2, 3) --> (-8, 5)
F --> F':
(0, 1) --> (-6, -7)
G --> G':
(-4, 5) --> (-2, -3)
Which of the following are equivalent expressions? SELECT ALL THAT APPLY.
A
(x2)5= x7
B
x9 ÷ x4 = x13
C
x-2 = 1x2
D
(2x2y5 )3 = 2x5y8
E
(2x2y5)3 = 8x6y15
Answer:x^1/2 • 1/3 x^1/2 + 1/3
Step-by-step explanation:
The equivalent expressions are,
C) x⁻² = 1/x²
E) (2x²y⁵)³ = 8x⁶y¹⁵
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We can all the expression as,
A) (x²)⁵ = x⁷
LHS, (x²)⁵ = x¹⁰
≠ x⁷
B) x⁹ ÷ x⁴ = x¹³
LHS, x⁹ ÷ x⁴ = x ⁹⁻⁴
= x⁵
≠ x¹³
C) x⁻² = 1/x²
LHS, x⁻² = 1/x²
= 1/x²
D) (2x²y⁵)³ = 2x⁵y⁸
LHS, (2x²y⁵)³ = 8x⁶y¹⁵
≠ 2x⁵y⁸
E) (2x²y⁵)³ = 8x⁶y¹⁵
LHS, 2x²y⁵)³ = 8x⁶y¹⁵
Thus, The equivalent expressions are,
C) x⁻² = 1/x²
E) (2x²y⁵)³ = 8x⁶y¹⁵
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Which whole number property is repersebted
Answer:
Step-by-step explanation:
In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. 17, 99, 267, 8107 ,and 999999999 are examples of whole numbers. Whole numbers include natural numbers that begin from 1 onwards. Whole numbers include positive integers along with 0.
a person who wrote history is called
Step-by-step explanation:
A historianis a person who studies and writes about the past and is regarded as an authority on it. Historians are concerned with the continuous, methodical narrative and research of past events as relating to the human race; as well as the study of all history in time.
hope this help!
Coliform bacteria are distributed in a river at an average concentration of 1 per 20 cc of water. If we draw from the river a test tube containing 10cc of water, what is the probability that the sample contains exactly 2 coliform bacteria
Answer:
0.5
Step-by-step explanation:
Given that: An average concentration of 1 coliform bacteria per 20 cc of the river water.
This implies that in 20 cc of the water, it is certain that 1 coliform bacteria would be found. So that:
pr(1 bacteria in 20 cc of water) = 1
i.e the probability of getting 1 bacteria in 20 cc of water is 1.
The probability of the 10 cc sample of water containing 2 coliform bacteria can be determined as:
pr(2 bacteria in 10 cc of water) = [tex]\frac{1}{2}[/tex]
= 0.5
What is 9.023 as a mixed number
The front door of a house is painted white and blue. Each window is a square with a side length of 7 inches. What is the area of the door that is painted blue?
PLEASE HELP DUE SOON
Answer:
49in square
Step-by-step explanation:
multiply the width and length to get the area so 7in times 7in equals 49in square.
64 1 x dx 0 Maple Generated Plot At least one of the limits of integration is not finite. The integrand is not continuous on [0, 64]. Determine whether it diverges or converges. converges diverges Evaluate the integral if it converges. (If the quantity diverges, enter DIVERGES.) 7 Incorrect: Your answer is incorrect.
Answer:
hello your question is incomplete attached below is the complete question
answer : The Integrand converges
Step-by-step explanation:
attached below is the detailed solution to the problem
i) the integrand is not continuous on [ 0, 64 ] hence the integrand is improper
ii) determine if the integrand diverges or converges ( attached below )
The integrand is finite and it converges at 16
Solve for n:
-5(n + 6) = 3(7 + 3n) + 3n
Answer:
n = -3
Step-by-step explanation:
-5n-30=21+9n+3n
-5n-30=21+12n
-17n=51
n=-3
Find the percent of increase or decrease, p, from $8 to $13. Round to the nearest percent (ones digit).
p= ______%
An office will increase salary to its top 8% employees on the basis of a performance score the office created for each employee. The performance score is approximately normal with mean 82.5 and standard deviation 9.25. How high must an employee score in order to qualify for increase in the salary?
Answer:
An employee's score in order to qualify for increase in the salary must be higher than 95.45.
Step-by-step explanation:
Let X represent the performance score of employees.
It is provided that X follows a normal distribution with parameters μ = 82.5 and σ - 9.25.
It is provided that the office will increase salary of its top 8% employees on the basis of a performance score the office created for each employee.
That is, the probability to qualify for increase in the salary is,
P (X > x) = 0.08
⇒ P (X < x) = 0.92
⇒ P (Z < z) = 0.92
The corresponding z-value is,
z = 1.40
Compute the value of x as follows:
[tex]z=\frac{x-\mu}{\sigma}\\\\1.40=\frac{x-82.5}{9.25}\\\\x=82.5+(1.40\times 9.25)\\\\x=95.45[/tex]
Thus, an employee's score in order to qualify for increase in the salary must be higher than 95.45.
rittany is selling homemade cupcakes at the community bake sale. The graph shows the cost/profit vs. the number of cupcakes sold.
How much did Brittany spend so that she could bake the cupcakes? (Remember to include the units!)
A machine fill bags with cement. Assume the actual masses of the bags have a normal distribution. If the standard deviation of the amount dispensed is 1.1 lb and the mean is set to 50 lb. What proportion of bags have a mass more than 50.4 lb? (2 p
Answer:
0.35808
Step-by-step explanation:
Given a normal distribution :
Mean (m) = 50 lb
Standard deviation (σ) = 1.1 lb
Proportion of bags with mass more than 50.4 lbs
X : X > 50.4 lbs
Using the Zscore relation :
Zscore = (x - m) / σ
Zscore = (50.4 - 50) / 1.1
Zscore = (0.4) / 1.1
Zscore = 0.3636363
P(Z > 0.3636) = 1 - P(Z < 0.3636)
P(Z < 0.3636) = 0.64192
1 - P(Z < 0.3636) = 1 - 0.64192 = 0.35808
