Answer:
-2.00
Step-by-step explanation:
Applying,
Z = (x-μ)/σ.................. Equation 1
Where Z = Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.
From the question,
Given: x = 48, μ = 70, σ = 11
Substitute these values into equation 1
Z = (48-70)/11
Z = -22/11
Z = -2.00
Hence Michelle's z-score is -2.00
Suppose y varies jointly as x and z. Find y when x=9 and z=-3, if y=-50 when z is 5 and x is -10.
Answer:
y = -27 when x = 9 and z = -3
Step-by-step explanation:
y = kxz is the joint variation where k is a constant
Substitute the knowns in to find k
-50 = k( -10)(5)
-50 = -50k
k = 1
y = xz
Now find y
y = 9*-3
y = -27 when x = 9 and z = -3
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
While remodeling their living room, the Smart family decided to repaint the walls. They
estimated that they could repaint 55 square feet every half-hour. How many square feet
can they paint per hour?
Answer:
The Smart family could paint 110 square feet per hour.
Step-by-step explanation:
Given that while remodeling their living room, the Smart family decided to repaint the walls, and they estimated that they could repaint 55 square feet every half-hour, to determine how many square feet can they paint per hour the following calculation must be performed:
1/2 = 0.5
0.5 = 55
1 = X
55 / 0.5 = X
110 = X
Therefore, the Smart family could paint 110 square feet per hour.
PLEASE HELP ME SOLVE FOR X
Answer:
7. x = 10
8. x = 13
9. x = 17
10. x = 5
11. x = 9
12. x = 11
Step-by-step explanation:
Explanation for Number 7.
The exterior angle is always equl to the sum of the two opposite interior angles.
The two opposite interior angles: 62 and (7x + 14)
The exterior angle: (15x - 4)
So you would set it up like _____ = ______ to solve for x
62 + (7x +14) = 15x - 4
62 + 7x + 14 = 15x - 4
Then move the terms
76 + 7x = 15x - 4
Collect the like terms and Calculate
7x - 15x = -4 - 76
Divide both Sides
-8x = -80
/8 /8
-x = -10
/-1 /-1
x = 10
Hope this helps ^^
Tim is a postman that works at a local post office. The basic postage is $1.25 and cover any letter that is lighter than 7.5 grams. For heavier letters, extra postage of $.087 is needed for every 10 grams over 7.5 grams.Can a letter that is 705100 grams be covered by the basic postage
Answer:
705/100 grams cann be covered by the basic postage
Step-by-step explanation:
Given
Basic Postage
[tex]Weight < 7.5g[/tex]
Heavy letters
[tex]Weight \ge 7.5g[/tex]
Required
Can [tex]705/100[/tex] be covered in basic postage?
We have:
[tex]Weight = 705/100\ g[/tex]
[tex]Weight = 7.05\ g[/tex]
By comparing the above with the range of basic postage ---- [tex]Weight < 7.5g[/tex]
We have:
[tex]7.05g < 7.5g[/tex]
Since the above inequality is true, then the letter can be covered
A company uses a computer program to create coupon codes for customers to use on its website. The codes are made up from the symbols !, #, &, and *, as well as any letter from the alphabet.
The company uses the program to make a code, one character at a time.
What is the probability the first character is a symbol?
Enter your answer as a decimal rounded to the nearest hundredth in the box.
Answer:
[tex]total = 26 + 4 = 30 \\ probability = \frac{4}{30} \\ = 0.13[/tex]
Hope This Helps!!!
Hope This Helps!!!Have a great day!!!
The vertices of a rectangle in the coordinate plane are located at (4, -3), (4,5), (-5,5), and (-5, -3).
The daily stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation) with a mean of $143.311 and standard deviation of $3.9988 Approximately 38.34% of days IBM had a stock price greater than what dollar amount
Answer:
Greater than $144.49.
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.
Mean of $143.311 and standard deviation of $3.9988.
This means that [tex]\mu = 143.311, \sigma = 3.9988[/tex].
Approximately 38.34% of days IBM had a stock price greater than what dollar amount?
Greater than X when Z has a p-value of 1 - 0.3834 = 0.6166, so X when Z = 0.295.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.295 = \frac{X - 143.311}{3.9988}[/tex]
[tex]X - 143.311 = 0.295*3.9988[/tex]
[tex]X = 144.49[/tex]
Greater than $144.49.
The capacity of a water tank is 1000 litres. If 7/10 parts of the tank is emptied, how many litres of water are left in the tank?
Answer:
300litres
Step-by-step explanation:
capacity of water tank=1000litres
7/10 parts of tank is emptied,
method 1so, to know the litres of water left in the tank has to be equal to 1000litres-emptied tank
let X to represent water left in the tank
X=1000litres-(7/10*1000litres)
X=1000litres-700litres
X=300litres
hence, litres of water left in the tank =300litres
method 2since, full tank is 10/10 and you know the emptied tank has 7/10. meaning the remaining part of water is
10/10-7/10
3/10 of the tank with water
therefore, 3/10*1000litres
300litres.
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm
long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the
bookmark? Use 3.14 for it.
The area of the bookmark is
cm?
Answer:
80.56
Step-by-step explanation:
To find the rectangle area you just multiply its length by its width:
17 * 4 = 68
You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula: [tex]\pi*r^2[/tex]
Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:
A = 3.14 * 2² ==> A = 3.14 * 4 ==> A = 12.56 (A is Area)
Sum the rectangle's area with the circle's area:
12.56 + 68 = 80.56
And vuoila! there's your answer.
What is the area of the base of the prism?
Answer:
24
Step-by-step explanation:
8 x 3 = 24
Your two given side lengths are 8 as your width.
3 as your length.
We multiply them together to get the area of the rectangle(base).
What are the domain and range of Y = sin X? select one choice for domain and one for range. (Answers in photo)
Answer: The answers are A and B
Step-by-step explanation:
Ap3x
The domain and range of function Y = sin X will be all the real numbers and [tex]-1\leq y\leq 1[/tex].
What is the domain and range of a function?The domain is the set of values for which the given function is defined.
The range is the set of all values which the given function can output.
We have been given a function Y = sin X.
We need to find the domain and range of function .
Here we can see that the given function is a sine function.
So, the domain of the function would be all the real numbers.
also, The range will be [tex]-1\leq y\leq 1[/tex].
Therefore, options A and B are the correct answer.
Learn more about appropriate domain here:
https://brainly.com/question/20073127
#SPJ2
what is the value of x?
Answer:
127
Step-by-step explanation: The total value of angles in a 6 sided figure is 720 degrees. The total value of the angles except x is 593 degrees. Subtract 593 from 720 to get your x which is 127.
Answer:
Step-by-step explanation112+133+128+100+120+x=720 x=720-593 x=127
On a model castle, 1 inch equals 83 feet. The model is 10.5 inches wide. What is the actual width of the castle?
Answer:
871 and 1/2 ft.
Find (−5x−9)−(−6x−1)
Can some one help me with this？
Answer:
8 in
Step-by-step explanation:
Area = (diagonal 1 x diagonal 2)/2
60 = (diagonal 1 x 15)/2
60 x 2 = diagonal 1 x 15
120 = diagonal 1 x 15
diaognal 1 = 120/15 = 8
Dulce and Luis buy some fruit at the market. Dulce buys 5 cartons of blueberries for a total cost of $13.75. At this
rate, how many cartons of blueberries can Luis buy with $11?
Enter your answer in the space provided.
__________
PLEASE HELP
Answer:
Dulce and Luis buy some fruit at the market. Dulce buys 5 cartons of blueberries for a total cost of $13.75. At this
Step-by-step explanation:
Answer:
[tex]hey \: the \: answer \: is \: 4 \\ here \: is \: the \: step \: by \: step \: explanation[/tex]
Step-by-step explanation:
[tex]dulce \: bought \: 5 \: cartons \: and \: paid \: 13.75 \: dollrs \: so = \\ \frac{5}{13.75} \\ how \:many \:cartons \: \: with \: 11dollars \\ \frac{5}{13.75} \frac{?}{11} \\ 5 \times 11 \div 13.75 \\ or \\ \frac{5}{13.75} \times 11 \\ the \: answer \: is = \\ 4 \: cartons[/tex]
Use the following table below, which represents the average rainfall in Orlando to answer this questions:
Month
Jan.
Feb.
Mar.
Apr.
May
June
July
Aug
Sep.
Oct.
Nov:
Dec.
Avg. Rainfall 2.55
1.24
.98
1.87
3.54
5.27
6.31
6.20
5.00
3.23
1.64
193
Use the rainfall table above and your graphing calculator to find the
sinusodal regression equation to model the data.
Answer:
me no understand plz ask a teacher
]This problem is for my math class
Solve the inequality below
6x - 5 < 55
Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
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.
Ill give brainliest! The answers are in red I just need to show my work with equations. PLS CAN SOMEONE WRITE THE EQUATIONS FOR THEM. (NO LINKS TO OTHER SITES OR BLANK ANSWERS OR ILL REPORT
5x(x + 2) - 12x distribute and combine like terms
Answer:
Answer = 3x
Step-by-step explanation:
5x(x + 2) - 12x (x (by itself) = 1)
5x + 10x - 12x
15x - 12x
3x
can you help me solve for x.
Answer:
x=4
Step-by-step explanation:
In 2000, the population of a town was 46,020. By 2002 the population had increased to 52,070. Assuming that the towns population is increasing linearly answer the following questions.
What is the population of the town by 2006?
What year will the towns population reach 75,000?
Answer:
Multiply 5207 by 4 for 2006
Step-by-step explanation:
Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.
To the nearest whole percent, what is the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone?
7%
13%
31%
56%
The probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone is 7%.
Probability is the likelihood or tendency that something will occur.
Probablility of blurry picture=(134-86)×0.2/134
Probablility of blurry picture=48×0.2/134
Probablility of blurry picture=9.6/134×100
Probablility of blurry picture=7.16
Probablility of blurry picture=7% (Approximately)
Thus, the probability that when she opens a random picture from the computer folder, it will be a blurry picture she took with her cell phone is 7%.
Learn more about probability here:https://brainly.com/question/24756209
Is my answer correct?
Answer:
Yes Your answer correct because i know that
Step-by-step explanation:
(◍•ᴗ•◍)❤
[tex] \: \: \: \: \: \: \: \: \huge{ \mathrm{ \underbrace{ A nswer s}\: \: }}[/tex]
Figure : 1The value of an exterior angle is equal to the sum of values of two opposite interior angles.
That is :
[tex]40 \degree + 40\degree = 3x + 20\degree[/tex][tex]80\degree = 3x + 20\degree[/tex][tex]3x = 60\degree[/tex][tex]x = 20\degree[/tex]Therefore, value of x is 20°
And the measure of missing angle is :
[tex]3x + 20\degree[/tex][tex](3 \times 20\degree) + 20\degree[/tex][tex]60\degree + 20\degree[/tex][tex]80\degree[/tex]Figure : 2The Value of an Exterior angle is equal to the sum of values of two opposite interior angles .
Hence,
[tex]v + 71\degree = 107\degree[/tex][tex]v = 36\degree[/tex]And therefore measure of missing angle is 36°, since v was the missing angle here.
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Part A
The function f(x) = −4x2 + 18x + 16 models the predicted sales of a hat after x price increases. Use the table showing actual and predicted sales to find the residuals for the model. Part B
Function g also models the predicted sales of the hat in Part A. For function g, the average distance of the residuals from the line y = 0 is 1.3. Is f or g a better model for the data?
Use the drop-down menu to show your answer.
Drag the numbers to complete the table. Numbers may be used once, more than once, or not at all.
Actual Sales ($) Predicted Sales ($) Residual
0 17 16
1 29 30
2 34 34
3 33 34
4 22 24
Answer:
Actual Sales | Predicted Sales | Residual
$ $
17 | 16 | 1
29 | 30 | -1
34 | 34 | 0
33 | 34 | -1
22 | 24 | -2
-----------------------------
hope it helps..
have a great day!!
Estimate: 1/5 + 3/7
Answer:
Answer:1/2
Step-by-step explanation:
FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS
Answer:
ok so a it' probabily 21 or a number between 1-10
Step-by-step explanation:
Answer:
q.10 142 degree
q.11 x=11
q.12 complementary angles
I WILL GIVE BRAINLIEST AND 15 POINTS, BUT PLEASE ANSWER QUICK, ITS JUST ONE QUESTION!!!!
Answer: 5/13
Step-by-step explanation: