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Complete Question
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of 12.5 beats per minute. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.)
Answer:
0.3688
Step-by-step explanation:
The formula for calculating a z-score when given a random sample of numbers is is z = (x-μ)/σ/√n
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
mean = 76.0 beats per minute and a standard deviation = 12.5 beats per minute.
n = number of random samples = 1
For 70 beats per minute
z = 70 - 76/12.5/√1
z = -0.48
Probability value from Z-Table:
P(x = 70) = 0.31561
For 82 beats per minute.
z = 82 - 76/12.5/√1
z = 0.48
Probability value from Z-Table:
P(x = 82) = 0.68439
The probability that her pulse rate is between 70 beats per minute and 82 beats per minute.
P(x = 82) - P(x = 70)
0.68439 - 0.31561
= 0.36878
≈ 0.3688
is 10 15 18 equal to a right triangle
Answer:
no
Step-by-step explanation:
Right triangles follow the Pythagorean theorem:
[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}\\18=\sqrt{10^2+15^2} \\18=\sqrt{325} \\18 != 18.0277\\[/tex]
Because this statement isn't true, the side lengths are not for a right triangle.
find the value of x
I have to show the work
Answer:
x = 39
Step-by-step explanation:
A circle is made up of 360 degrees
235+ 54+ x+32 = 360
Combine like terms
x+321=360
Subtract 321 from each side
x+321-321 = 360-321
x = 39
A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.
Answer:
Chair x₁ = 10
Sofa x₂ = 18
z(max) = 2250 $
Step-by-step explanation:
Information:
Operation-Profit Carpentry Finishing Upholstery Profit
hours hours hours $
Chair (x₁) 3 9 2 90
Sofa (x₂) 2 4 10 75
Objective Function z:
z = 90*x₁ + 75*x₂
Constrains:
1.-66 hours of carpentry available
3*x₁ + 2*x₂ ≤ 66
2.- 180 hours of finishing available
9*x₁ + 4*x₂ ≤ 180
3.- 200 hours of upholstery
2*x₁ + 10*x₂ ≤ 200
Model:
z = 90*x₁ + 75*x₂ to maximize
Subject to:
3*x₁ + 2*x₂ ≤ 66
9*x₁ + 4*x₂ ≤ 180
2*x₁ + 10*x₂ ≤ 200
x₁ >= 0 x₂ >= 0
From simplex method solver we get the answer
x₁ = 10 x₂ = 18 z = 2250
The linear programming model is:
Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]Subject to [tex]\mathbf{3x + 2y \le 66}[/tex], [tex]\mathbf{9x + 4y \le 180}[/tex], [tex]\mathbf{2x + 10y \le 200}[/tex], [tex]\mathbf{x,y \ge 0}[/tex]Represent sofa with y and chairs with x.
The given parameters are:
Carpentry:
[tex]\mathbf{Chair =3\ hours}[/tex]
[tex]\mathbf{Sofa =2\ hours}[/tex]
[tex]\mathbf{Available = 66\ hours}[/tex]
So, we have:
[tex]\mathbf{3x + 2y \le 66}[/tex]
Finishing
[tex]\mathbf{Chair =9\ hours}[/tex]
[tex]\mathbf{Sofa =4\ hours}[/tex]
[tex]\mathbf{Available = 180\ hours}[/tex]
So, we have:
[tex]\mathbf{9x + 4y \le 180}[/tex]
Upholstery
[tex]\mathbf{Chair =2\ hours}[/tex]
[tex]\mathbf{Sofa =10\ hours}[/tex]
[tex]\mathbf{Available = 200\ hours}[/tex]
So, we have:
[tex]\mathbf{2x + 10y \le 200}[/tex]
The profit is given as: $90 per chair, and $75 per sofa.
So, the objective function is:
[tex]\mathbf{Z = 90x + 75y}[/tex]
Hence, the linear programming model is:
Maximize [tex]\mathbf{Z = 90x + 75y}[/tex]
Subject to
[tex]\mathbf{3x + 2y \le 66}[/tex]
[tex]\mathbf{9x + 4y \le 180}[/tex]
[tex]\mathbf{2x + 10y \le 200}[/tex]
[tex]\mathbf{x,y \ge 0}[/tex]
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The equation of line g is y = -6/7x + 3 line h is parallel to line g what is the slope of line h
Answer:
It should be -6/7 because parallel lines have the same slope
Triangle A B C is reflected across the line of reflection m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point B prime 270 degrees to form triangle A double-prime B double-prime C double-prime.
Which rule describes the composition of transformations that maps ΔABC to ΔA"B'C"?
Answer:
it is D trust me
Step-by-step explanation:
Answer:
the answer is d
Step-by-step explanation:
the way you can figure this out is by looking at the figures and finding what transformation came first because of the number of prime notations on a letter in a figure. in this case is was ABC first then A'B'C' then A''B''C''
using that we can now determine the order of how the composition will be written. the first step of the composition is the left most part and the last part of the composition is the right most part. basicly the order is left to right.
we see that figure ABC is reflected across the line m to create the figure A'B'C' relections are written like r for the relection and the sub letter is the line the figure is reflected across to in this case it would be written as r sub m meaning that r sub m is the 2nd part of the composition.
the 2nd step in the composition is when figure A'B'C' turns into figure A''B''C'' the way we find out its transformation is determine whether it was slid or if it was rotated aroound a point of rotation. here we have a rotation. now we got to determine what the center of roation is. in this case its B'. looking at the options there is no negative -90 degrees which means that the rotation happened counter clockwise because all valuse are positive. counter clockwise is to the left. now simple math figure A'B'C 180 degrees would make it need 90 more degrees so 180+90=270 thats the degree of the roation around point B'
rotations are written as R sub point of rotation, __ degrees. in our case it is r sub B', 270 degrees. this is the second step so it will be on the right of the equation. the full equation turns out to be R sub B', 270 degrees composition of transformations r sub m.
it must be that way because if you rotated the figure first then reflected it it would look like an entirely different image.
pls give brainliest
What is the value of j
A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm.
What is its surface area?
Show your reasoning.
I got 48 cm2
Answer:
i got 48
Step-by-step explanation:
2(5*2)
2(2*5)
2(2*2)
How to estimate the sum of using different methods. 187,176,154,207
Answer:
tuff
guess you will fail
Step-by-step explanation:
4 1/8÷2 3/4 convert the mixed numbers to improper fractions
Answer:
Check picture
Step-by-step explanation:
9514 1404 393
Answer:
1 1/2
Step-by-step explanation:
[tex]\dfrac{4\dfrac{1}{8}}{2\dfrac{3}{4}}=\dfrac{\left(\dfrac{4\cdot8+1}{8}\right)}{\left(\dfrac{2\cdot4+3}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{11}{4}\right)}=\dfrac{\left(\dfrac{33}{8}\right)}{\left(\dfrac{22}{8}\right)}=\dfrac{33}{22}=\dfrac{3}{2}[/tex]
Then the improper fraction 3/2 can be written as the mixed number 1 1/2.
(4 1/8) / (2 3/4) = 1 1/2
_____
Comment on division of fractions
Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.
If we were to "invert and multiply", the computation would be ...
(33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2
Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:
(33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2
1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?
68% of johns school are boys. There are 180 more boys than girls. How many students are there in johns school
Answer:
500 students in the school
Step-by-step explanation:
100 - 68% = 32%
boys percentage 68%
girls percentage 32%
difference 68 - 32 = 36% = 180
36 ÷ 18 = 2 × 50 = 100
180 ÷ 18 = 10 × 50 = 500
Answer:
500 students.
Step-by-step explanation:
This a system of equations you could write where t is the total amount of students in the school, b is the number of boys, and g is the number of girls:
0.68t=b
b+g=t
180+g=b
0.68t+g=t
g=0.32t
180+g=b
180+0.32t=0.68t
180=0.36t
t=500
Solve the proportion.
Thursday
Friday
Classes
6
Hours
8
4
Hellppppp it’s a testttt!
Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8
Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4
Which means :-
6 : 8 :: c : 4
6/8 = c/4
= 6 × 4 = c × 8
= 24 = 3 × 8
c = 3
The ratio = 6 : 8 :: 3 : 4
Which means that C = 3 .
What might be the result of sharing a link if it is pseudopsychology instead of accurate psychological science?
You would be unintentionally sharing inaccurate information.
You might get credit for the information in the article.
You would have an article you could cite for a class project,
You will find good evidence to back up the headline in the article
Submit
W
Answer:
You would be unintentionally sharing inaccurate information.
Step-by-step explanation:
i just read the book
Ivan has 32 baseballs and 48 basketballs. If he wants to divide them into identical groups without any balls left over, what is the greatest number of groups Ivan can make
Here we will show you step-by-step with detailed explanation how to calculate 48 divided by 32 using long division.
Before you continue, note that in the problem 48 divided by 32, the numbers are defined as follows:
48 = dividend
32 = divisor
Step 1:
Start by setting it up with the divisor 32 on the left side and the dividend 48 on the right side like this:
3 2 ⟌ 4 8
Step 2:
The divisor (32) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
3 2 ⟌ 4 8
Step 3:
Multiply the divisor by the result in the previous step (32 x 0 = 0) and write that answer below the dividend.
0
3 2 ⟌ 4 8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
3 2 ⟌ 4 8
- 0
4
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
3 2 ⟌ 4 8
- 0
4 8
Step 6:
The divisor (32) goes into the bottom number (48), 1 time(s). Therefore, put 1 on top:
0 1
3 2 ⟌ 4 8
- 0
4 8
Step 7:
Multiply the divisor by the result in the previous step (32 x 1 = 32) and write that answer at the bottom:
0 1
3 2 ⟌ 4 8
- 0
4 8
3 2
Step 8:
Subtract the result in the previous step from the number written above it. (48 - 32 = 16) and write the answer at the bottom.
0 1
3 2 ⟌ 4 8
- 0
4 8
- 3 2
1 6
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 48 divided by 32 calculated using Long Division is:
1
16 Remainder
Solve for X please :(( Will give brainliest.
5x+6+92 = 22x-4
5x+98 = 22x-4
add 5x to both sides
98 = 27x-4
add 4 to both sides
102 = 27x
divide both sides by 27
x = 3 and [tex]\frac{7}{9}[/tex]
Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance
by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per
day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time,
t, in weeks?
f(t) = 0.5t + 7
f(t) = 0.5t + 11
f(t) = 1.5t + 5
f(t) = 1.5t + 12.5
Answer:
f(t) = 1.5t + 5
Step-by-step explanation:
each week he will run an extra 1.5 miles and one the first week he started off running 5 miles. 1.5 is your slope and 5 is the y-intercept.
Answer:f(t) = 1.5t + 5
Step-by-step explanation:
Edg 2020
What is the solution to this equation?
8x - 5(x-3) = 18
O A. x = 7
O B. x= 11
O C. x = 5
O D. x= 1
Answer:
D x = 1
Step-by-step explanation:
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph? *
The graph is missing, so i have attached it;
Answer:
Constant of proportionality = 0.75
Step-by-step explanation:
From the graph attached, we are given 3 coordinate points of (x, y) namely;
(120, 90), (250, 187.5), (400, 300)
Now, constant of proportionality for each coordinate point is simply;
k = y/x
Thus, for first coordinate point (120, 90),
k1 = 90/120
k1 = 0.75
For 2nd coordinate point (250, 187.5),
k2 = 187.5/250
k2 = 0.75
For third coordinate point (400, 300),
k3 = 300/400
k3 = 0.75
From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.
бx + 8 = 50
I need that answer
Answer:
=
7
Step-by-step explanation:
Will Give Branieliest!!!!!!!
A farmer placed an order for 11 tons of fertilizer. He calculates that the corn fields will require 6 5/8 tons of it. How much fertilizer will the farmer have left for his other crops?
Write your answer as a fraction or as a whole or mixed number.
Answer:
4.375
Step-by-step explanation:
11 tons
He needs 6 5/8
Convert 11 tons to a fraction with the same denominator:
[tex]\frac{11}{1} *\frac{8}{8} =\frac{88}{8}[/tex]
Now calculate 6 5/8:
[tex]\frac{6}{1} *\frac{8}{8} =\frac{48}{8}[/tex] and add [tex]\frac{5}{8}[/tex]
[tex]\frac{48}{8} +\frac{5}{8} =\frac{53}{8}[/tex]
Now subtract
[tex]\frac{88}{8} -\frac{53}{8} =\frac{35}{8}[/tex]
As a mixed number:
[tex]\frac{35}{8} = 4 \frac{3}{8}[/tex]
As a fraction:
4.375 is how much he has left for his other crops.
PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS
Answer:
The umbrella will fit in, but there will be a lot of extra room.
Step-by-step explanation:
Remember the Pythagorean theorem:
x^(2) + y^(2) = n^(2)
where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse
In this problem it is given that the sides (legs) are:
38in, and 24in
and diagonally across is 29in
so the hypotenuse is 29in
therefore we can form the equation:
38^(2) + 24^(2) = 29^(2)
without solving it is clear that
38^(2) + 24^(2) > 29^(2)
because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,
but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room
Answer:
see below
Step-by-step explanation:
The umbrella should fit
The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
Take the square root of each side
sqrt(900) = sqrt(c^2)
30 =c
As long as the umbrella is less than 30 inches, it should fit
The umbrella is 29 inches so it should fit
5 2/5 is ___ 3 1/2, is it greater than or less than
Answer:
5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2
Step-by-step explanation:
Answer:
I believe that 5 2/5 is greater than 3 1/2
Which of the following statements correctly uses the distributive property?
-2(15 - 3) = -2(15) + (-2)(3)
0719- 8) = 7(9) - 8
91-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)
-3(12+5) = -3(12)-(-3)(5)
Step-by-step explanation:
the distributive property is distributing the -3 to each number
If the area of the base of the box is 112 square inches and the height is 3.5 inches, what is the volume of the box?
Answer: uh i think its 392 inches squared
Step-by-step explanation:
The volume of the box whose area is 112 inch² and height 3.5 inch is
392 inch³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
The area of the box = 112 inch²
The height of the box = 3.5 inch
Now , the volume of the box is given by the equation
Volume of the box = Area of the box × Height of the box
Volume of the box = 112 inch² x 3.5 inch
Volume of the box = 392 inch³
Therefore , the volume of the box is 392 inch³
Hence , the volume of the box whose area is 112 inch² and height 3.5 inch is 392 inch³
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Simplify the expression:
27
simplifying square roots
Answer:
3^2
Step-by-step explanation:
3x3x3 = 27
Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.
Answer:
3 by the power of 2
Step-by-step explanation:
Two divers are swimming at different depths below sea level. One diver is at -25.5 ft. The other diver is at -40.75 ft. How far are the divers from each other?
Answer:
66.25 ft
Step-by-step explanation:
25.5 + 40.75
66.25
They are 66.25 feet away from each other.
Please let me know if I'm wrong!
Swedish researchers concluded that viewing and discussing art soothes the soul and helps relieve medical conditions such as high blood pressure and constipation. This conclusion was based on a study in which 20 elderly women gathered once a week to discuss different works of art. The study also included a control group of 20 elderly women who met once a week to discuss their hobbies and interests. At the end of 4 months, the art discussion group was found to have a more positive attitude, to have lower blood pressure, and to use fewer laxatives than the control group.
Required:
a. Why would it be important to determine if the researchers assigned the women participating in the study at random to one of the two groups?
b. Explain why you think that the researchers included a control group in this study.
Step-by-step explanation:
1. By assigning women at random. It would make these 2 groups comparable abc the result from the research or investigation would be more useful and valid. It is very important that there are two comparable groups.
2. A control group is useful in comparing both groups. It would help us to check if there's really an effect or if there is none. If all women were in in art group then all would likely make improvements and there would be no means of verifying this.
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use cross products to demonstrate whether or not the two ratios are equivalent:
4/6 and 14/21.
How many quarts does a 100 liter tank hold?
Answer: 84.535 Quartas.
Step-by-step explanation:
What does h(40) = 1700 mean in terms of the problem?
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
Answer:
40 hours of training=h(40)
Monthly Pay=1700
Step-by-step explanation:
For 40 hours of training, you will receive $1700 for the month.