Answer:
(x+y)(a+b)-(y+z)(a+b)
first we solve half
(x+y)(a+b)
(xa+xb+ya+yb)
(y+z)(a+b)
(ya+yb+za+zb)
(xa+xb+ya+yb)-(ya+yb+za+zb)
xa+xb+ya+yb-ya-yb-za-zb
which needs to cut
+ya-ya+yb-yb
now left
xa+xb-za-zb
x (a+b)-z (a+b)
(x-z)(a+b)2
You can buy an escape room pass that allows you 8 visits for a total of $72 . What is the unit rate for the card in dollars per visit?
Answer:
$9 per visit
Step-by-step explanation:
set up equation
variable x = dollers per visit
8x = 72
goal is to isolate the variable
divide both sides by 8 to do so
8x ÷ 8 = 72 ÷ 8
1x = 9
x = 9
6. Jessie thinks that the first step in solving the equation shown below is to use the addition
property of equality. His friend Robin thinks that the multiplication property of equality
could be used first. Who is correct and why?
3
5
ixto
A. Jessie is correct because can first be added to both sides of the equation.
B. Robin is correct because both sides of the equation can first be multiplied by 10
C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on
both sides of the equation.
D. Neither is correct because neither adding nor multiplying by 10 on both sides of the
equation is a valid step.
The equation is missing and it is;
(2/5)x - 3/2 = (5/2)x + 6
Complete options are;
A. Jessie is correct because 3/2 can first be added to both sides of the equation.
B. Robin is correct because both sides of the equation can first be multiplied by 10
C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on both sides of the equation.
D. Neither is correct because neither adding nor multiplying by 10 on both sides of the
Answer:
option B: Robin is correct because both sides of the equation can first be multiplied by 10
Step-by-step explanation:
The given equation is;
(2/5)x - 3/2 = (5/2)x + 6
Now, looking at this, we have fraction terms. Thus, the first step will be to find a way to clear the denominators in order to make every term a whole number.
The denominators we have are: 2 and 5.
So to clear the denominator we'll multiply each term by 10 which is a product of 2 and 5.
Looking at the options, the correct answer is option B: Robin is correct because both sides of the equation can first be multiplied by 10
Assuming that 6 in 10 automobile accidents are due mainly to a speed violation, find the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation (a) by using the formula for the binomial distribution; (b) by using Table A.1.
Answer:
A ) 0.2090 B) .2090
Step-by-step explanation:
∙Let random variable XX represent the number of accidents due to speed violation among 8 automobile accidents.
Lets consider it success if an accident is due to speed violation.
-Probability of a success in each trial is p = 6/10 = 0.6
-Because the trials are independent, XX has a binomial distribution with parameters n = 8n=8 and p = 0.60p=0.60
The probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation.
In everyday life, risk modeling and assessment involve the use of probability theory. Actuarial science is used by the insurance sector and markets to set pricing and decide which securities to trade. Environmental regulation, entitlement analysis, and financial regulation are all areas where governments use probabilistic methods.
Probability =favorable outcome/ total outcome
Probability = 6/8
Probability =0.75
Thus, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.
Learn more about the probability here:
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#SPJ2
In a sample of 100 steel wires the average breaking strength is 50 kN, with a standard deviation of 2 kN. a. Find a 95% confidence interval for the mean breaking strength of this type of wire. b. Find a 99% confidence interval for the mean breaking strength of this type of wire. c. An engineer claims that the mean breaking strength is between 49.7 kN and 50.3 kN. With what level of confidence can this statement be made? d. How many wires must be sampled so that a 95% confidence interval specifies the mean breaking strength to within ±0.3 kN? e. How many wires must be sampled so that a 99% confidence interval specifies the mean breaking strength to within ±0.3 kN?
Answer:
.
Step-by-step explanation:
1.
Alpha = 0.05. alpha/2 = 0.025
Under the z table
Z 0.025 = 1.96
50+-1.96(2/√100)
= 50+-0.39
50+0.39 = 50.39
50-0.39 = 49.61
2.
At 99%
Alpha = 0.01
Alpha/2 = 0.005
In z table
= 2.58
50+-(2.58)(2√100)
= 50 +- 0.52
= 50+0.52 = 50.52
50 - 52 = 49.48
Please check attachment for answers 3 to 5. The test editor did not work properly. It kept flagging some of my typed content.
Using the z-distribution, it is found that:
a) The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).
b) The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).
c) The confidence level is of 86.64%.
d) 171 wires must be sampled.
e) 295 wires must be sampled.
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 50[/tex]. Population standard deviation of [tex]\sigma = 2[/tex]. Sample size of [tex]n = 100[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is of:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Item a:
The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Hence, the interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 1.96\frac{2}{\sqrt{100}} = 49.61[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 1.96\frac{2}{\sqrt{100}} = 50.39[/tex]
The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).
Item b:
[tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 2.575\frac{2}{\sqrt{100}} = 49.49[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 2.575\frac{2}{\sqrt{100}} = 50.52[/tex]
The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).
Item c:
The margin of error is:
[tex]M = \frac{50.3 - 49.7}{2} = 0.3[/tex]
Hence:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.3 = z\frac{2}{\sqrt{100}}[/tex]
[tex]0.2z = 0.3[/tex]
[tex]z = 1.5[/tex]
z = 1.5 has a p-value of 0.9332, hence:
[tex]\frac{1 + \alpha}{2} = 0.9332[/tex]
[tex]1 + \alpha = 2(0.9332)[/tex]
[tex]\alpha = 0.8664[/tex]
The confidence level is of 86.64%.
Item d:
This is n for which M = 0.3, with z = 1.96, hence:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.3 = 1.96\frac{2}{\sqrt{n}}[/tex]
[tex]0.3\sqrt{n} = 1.96(2)[/tex]
[tex]\sqrt{n} = \frac{1.96(2)}{0.3}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(2)}{0.3}\right)^2[/tex]
[tex]n = 170.7[/tex]
Rounding up, 171 wires must be sampled.
Item e:
Now z = 2.575, hence:
[tex](\sqrt{n})^2 = \left(\frac{2.575(2)}{0.3}\right)^2[/tex]
[tex]n = 294.7[/tex]
Rounding up, 295 wires must be sampled.
A similar problem is given at https://brainly.com/question/25325640
Which data set would be numerical?
Kinds of pets
Eye color
Age
Favorite food
age
Step-by-step explanation:
it's countable because we can't count eye colour
1
Write the number 28 491 correct to the nearest 1000
(Total for Question 1 is 1 mark
((((Asap will give brainliest)))))
Answer:
8000
Step-by-step explanation:
I'm not sure of it
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
take the reference of the above picture
hope that helps
Multiplying the numerator and denominator of 8/10 by creates the equivalent fraction 40/50
Answer:
5
Step-by-step explanation:
1. Multiply it seperatly, 8 x 5 and 10 x 5
2. Put it back into it's fraction form, 40/50
3. there you go! The answer is "Multiplying the numerator and denominator of 8/10 by 5 creates the equivalent fraction 40/50."
These are just some
equivalent fractions of 40/50:
4/5 = 8/10 = 12/15 = 16/20
20/25 = 24/30 = 28/35 = 32/40
help me hereeeeeeeeeeee plssssssssssssss
QUESTION 24 - 1 POINT
A family picked 128 apples at the orchard. They eat the apples at a rate of 9 apples per day. Write a linear model in the form
a(t) = mt + b where a represents the number of apples remaining 1 days after picking the apples. Be sure to include "a(t)
="in your answer
The rate at which the family eats apples on a daily basis is an illustration of a linear model
The linear model of the scenario is a(t) = -9t + 128
How to determine the linear modelLinear models are used to illustrate scenarios with constant rates
A linear model is represented as:
a(t) = mt + b
Where:
m represents the rate (i.e. m = -9)b represents the initial value (i.e. b = 128)t represents the number of days, and a(t) represents the remaining appleSubstitute known values in the above equation
a(t) = -9t + 128
Hence, the linear model of the scenario is a(t) = -9t + 128
Read more about linear models at:
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We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours. Answer the following questions, assuming the distribution of the number of television hours is normal. What is the Z score for a person who watches more than 8 hrs/day. 2.09 What proportion of people watch 5 hrs/day or more television? 0.84 How many does this correspond to in the sample? 130 What number of television hours per day corresponds to a Z +1. -0.825 What is the percentage of people who watch between 1 and 6 hours of television per day? Please round to a whole number 1.26
Answer:
a)2.09
b) 0.2
c) 130 correspondents
d) 5.38 hours per day
e) 69%
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where
x is the raw score,
μ is the population mean,
σ is the population standard deviation.
Mean = average of 2.98 hrs/day, Standard deviation = 2.4 hours.
a) What is the Z score for a person who watches more than 8 hrs/day.
z = (x-μ)/σ
= 8 - 2.98/2.4
= 2.09167
≈ 2.09
b) What proportion of people watch 5 hrs/day or more television?
z = (x-μ)/σ
= 5 - 2.98/2.4
= 0.84167
P-value from Z-Table:
P(x<5) = 0.80001
The proportion that watches 5 hrs/day or more television?
P(x>5) = 1 - P(x<5) = 0.19999
≈ 0.2
c) How many does this correspond to in the sample?
From the question we are told:
650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours.
Hence, the proportion that corresponds to people who watch 5 hrs/day or more television form the samples is
0.2 × 650
= 130 correspondents.
d) What number of television hours per day corresponds to a Z +1.
z = (x-μ)/σ
+1 = x - 2.98/2.4
Cross Multiply
1 × 2.4 = x - 2.98
2.4 = x - 2.98
x = 2.4 + 2.98
x = 5.38 hours per day
e) What is the percentage of people who watch between 1 and 6 hours of television per day?
Step 1
For 1 hour
z = (x-μ)/σ
= 1 - 2.98/2.4
= -0.825
Probability value from Z-Table:
P(x = 1) = 0.20469
Step 2
For 6 hours
z = (x-μ)/σ
= 6 - 2.98/2.4
= 1.25833
Probability value from Z-Table:
P(x = 6) = 0.89586
The percentage of people who watch between 1 and 6 hours of television per day is
P(x = 6) - P(x = 1)
= 0.89586 - 0.20469
= 0.69117
Converting to percentage =
0.69117 × 100
= 69.117 %
Approximately = 69%
I need help pls. The question is in the image attached.
Answer:
A. This is a functional relationship
Step-by-step explanation:
y=8x−5
Use the slope-intercept form to find the slope and y-intercept.
Slope: 8
y-intercept: (0,−5)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
x | Y
0 | -5
5/8 | 0
Graph...
On the graph, you can see each x value corresponds with only one y value.
Applications and Problem Solving
Samantha is 80 cm.tall. Nora's height is 4cm less twice the height of Samantha.
How tall is Nora?
Understand: What is asked? HEb. What
are the given facts?
Plan: Express in algebraic expression. a. Solve and check:
d. Show your computation below. (You can use extra sheet if needed) Answer:
If Samantha is 80cm tall and Nora's height is 4cm less twice the height of Samantha then Nora is 156 cm tall
Algebraic expressionAlgebraic expression is made up of variables and constants, along with algebraic operations such as addition and subtraction.
Samantha is 80 cm tall.
Nora's height is 4cm less twice the height of Samantha. Therefore, Nora's height is represented as follows;
2(80) - 4Nora's height = 160 - 4
Nora's height = 156 cm
learn more on algebraic expression here: https://brainly.com/question/953809
Given that one of the angles in a triangle is 60°, select the correct option for each statement.
What is the product of -1 3/8 and 2 4/5 expressed as a mixed number?
Answer:
For -1 3/8: 11/8
2 4/5: 14/5
Step-by-step explanation:
When you have a mixed number, take the whole number and multiply it by the denominater, then add the numerator to the product. That whole answer will be the new numerator, but the denominator won't change.
h(x)=-5x+3 , find h(5)
Answer:
-22
Step-by-step explanation:
h(5)=-5•5+3
h(5)=-25+3
h(5)=-22
Answer:
-22
Step-by-step explanation:
Replace x with 5 and multiply tge -5 by 5 wich equals -25 and add 3 which would make -22
2(67+8)*3 plz help
A. 450
B.908
C.154
D 679
Answer:
A. 450
Step-by-step explanation:
Answer:
its a the answer 450
Step-by-step explanation:
Here is why
2(67+8) (3)
= (2) (75) (3)
=(150) (3)
= 450
hope it helps
19+22+11 route written correctly using the commutative property and then simplify correctly
Answer:
11 + 22 + 19 = 52
Step-by-step explanation:
You can simplify 52 into 13, here's why ↓
4 x 13 = 52
Hope this helps!If so, give thanks! Keep learning and stay cool.Prove that 5^7 + 5^6 is divisible by 6
5^7 + 5^6 = __ • 6
Answer:
Step-by-step explanation:
[tex]5^{7}[/tex] + [tex]5^{6}[/tex] = 5 × [tex]5^{6}[/tex] + [tex]5^{6}[/tex] = [tex]5^{6}[/tex] ( 5 + 1 ) = [tex]5^{6}[/tex] · 6
Hey there!
[tex] -› \: {5}^{7} + {5}^{6} [/tex]
[tex]-› 78,125 + 15,625[/tex]
[tex]-› \: 93750[/tex]
[tex]-› \: 93750 \div 6[/tex]
[tex]-› \: 15625[/tex]
Therefore, It's divisible by 6
Multiply. 1 1/2 x 3 2/3
Answer:
5.5
Step-by-step explanation:
Answer: 5 1/2
Step-by-step explanation:
uhh just multiply using the exact value
find gradient
xe^y + 4 ln y = x² at (1, 1)
[tex]xe^y+4\ln y=x^2[/tex]
Differentiate both sides with respect to x, assuming y = y(x).
[tex]\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x[/tex]
[tex]\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]
[tex]e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]
Solve for dy/dx :
[tex]e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]
[tex]\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}[/tex]
If y ≠ 0, we can write
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}[/tex]
At the point (1, 1), the derivative is
[tex]\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}[/tex]
Need help with this
Answer:
A: yes
B: no
C: yes
D: no
Step-by-step explanation:
edit: just realized the person above put the same answer. I am positive we have the correct answer.
The sum of 10 times a number in 15 is added to 11 times the same number
Answer:
Now, let x equal the number:
10 times the number is 10x.
Sum of 10 times the number and 15, means sum of 10 times the number plus 15, which is 10x + 15.
Eleven times the same number, means 11 times x, which is 11x.
Sum of 10 times a number and fifteen is added to eleven times the same number is therefore: 10x + 15 + 11x = 21x + 15
Step-by-step explanation:
What is 2(a +8) pls help me I want to pass
Answer:
2a+16
Step-by-step explanation:
Your first distribute 2(a+8) and get 2a+16.
Whenever a number is in front of a group of numbers in parenthesis, then it is always multiplying. You have to multiply both numbers, and that's how I got 2a+16. Hopefully this helps!
a cylinder has a height of 16 feet and a diameter of 22 feet. what is its volume?
Question :-
A Cylinder has a Height of 16 Feet and a Diameter of 22 Feet . What is its Volume ?Answer :-
Volume of Cylinder is 6084.5 Feet ³.Explanation :-
As per the provided information in the given question, we have been given that the Height of Cylinder is 16 feet and the Diameter is given as 22 feet . And, we have been asked to calculate the Volume of Cylinder .
For calculating the Volume , first we need to find Radius of Cylinder .
Here, we will find the Radius :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Radius \: = \: \dfrac{Diameter}{2} \: }} [/tex]
[tex] \longmapsto \: \: \sf { Radius \: = \: \dfrac{ \: 22 \: }{2} \: } [/tex]
[tex] \longmapsto \: \: \bf { Radius \: = \: 11 \: Feet } [/tex]
Now, we will find Volume of Cylinder :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: ({11})^{2} \: \times \: 16 } \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 121 \: \times \: 16 } \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22}{7} \: \times \: 1936 } \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{22 \: \times \: 1936}{7}} \\ [/tex]
[tex] \longmapsto \: \: \sf {Volume \: _{Cylinder} \: = \: \dfrac{ \: 42592 \:}{7}} \\ [/tex]
[tex] \longmapsto \: \: \bf {Volume \: _{Cylinder} \: = \: 6084.5 \: Feet^{3}} [/tex]
[tex] \underline {\rule {180pt} {4pt}} [/tex]
Formula Used :-
[tex] \Longrightarrow \: \: \boxed{ \sf{ \: Volume \: _{Cylinder} \: = \: \pi r^{2} h \: }} [/tex]
Where ,
R denotes to the RadiusH denotes to the HeightThe volume of the given cylinder.
Solution:[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {11}^{2} \times 16[/tex]
[tex]v = 6082.12338 \: {ft}^{3} [/tex]
[tex]v = 6082.12 \: {ft}^{3} (2 \: dp)[/tex]
Therefore, the volume of the given cylinder is 6082.12 cubic feets.
Suppose you are playing a game with one die at a casino. You win $1 if you get a 2 or a 6. You lose $2 if you get a 3, win $5 for rolling a 4, and lose $3 for rolling a 1. What is the expected value of this game? If you played the game repeatedly, would you expect to win or lose money? Why?
Answer:
if u played the game 6 times u would most likely get $7 but lose $5 so u would get $2 but more chances for u to gain money then lose it so if the game was full probability u should go for it. But casino games r a waste and uselessly rigged so ditch it.
Explain how to find the product of 12 3/8 x 6 7/8. Use complete sentences in your answer.
Answer:
you got to multipply those numbers
Step-by-step explanation:
Henry painted a picture of his house on canvas. The actual width of the driveway is 20 fr. If it represented with a. width of 4in on the canvas, what was the scale factor used?
Mary got a raise of 2% on her salary. If her original salary was $160,000, how much is it after the raise is implemented?
Mary new salary is $163,200
2% means 2 / 100 = 0.02
A raise implies addition to the original amount, therefore
160000 + 0.02 * 160000
160000 + 3200
163200
What is the rational number equivalent to 3 point 12 with a bar over 12?
Answer:
3 4/33
Step-by-step explanation: