Answer:
7x+6 = 6x-3
Step-by-step explanation:
2 (x + 3) + 5 x = 3 (2 x - 1)
Distribute
2x+6+5x = 6x-3
Combine like terms
7x+6 = 6x-3
Answer:
7x + 6 = 6x - 3 Option A
Step-by-step explanation:
Now Jalesa wants to simplify this equation.
Firstly applying the distributive property
Distribute the 2 over the parenthesis and distribute the over the parenthesis
that is,
2*x + 2*3 + 5x = 3*2x - 3*1
2x + 6 + 5x = 6x - 3
After that combine like terms
2x + 5x + 6 = 6x - 3
7x + 6 = 6x - 3
Result is:
7x + 6 = 6x - 3
That's the final answer.
2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walker. They found that 57% of the respondents voted in favor of Scott Walker. Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree, while 45% of those who voted against Scott Walker had a college degree. Suppose we randomly sampled a person who participated in the exit poll and found that he had a college degree. What is the probability that he voted in favor of Scott Walker? (please round to 4 decimal places)
Answer:
0.4929 = 49.29% probability that he voted in favor of Scott Walker
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Having a college degree.
Event B: Voting for Scott Walker.
They found that 57% of the respondents voted in favor of Scott Walker.
This means that [tex]P(B) = 0.57[/tex]
Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree
This means that [tex]P(A|B) = 0.33[/tex]
Probability of having a college degree.
33% of those who voted for Scott Walker(57%).
45% of those who voted against Scott Walker(100 - 57 = 43%). So
[tex]P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816[/tex]
What is the probability that he voted in favor of Scott Walker?
[tex]P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929[/tex]
0.4929 = 49.29% probability that he voted in favor of Scott Walker
A college basketball player makes 80% of his freethrows. Over the course of the season he will attempt 100 freethrows. Assuming free throw attempts are independent, the probability that the number of free throws he makes exceeds 80 is approximately:____________.
A) 0.2000
B) 0.2266
C) 0.5000
D) 0.7734
Answer:
The probability that the number of free throws he makes exceeds 80 is approximately 0.50
Step-by-step explanation:
According to the given data we have the following:
P(Make a Throw) = 0.80%
n=100
Binomial distribution:
mean: np = 0.80*100= 80
hence, standard deviation=√np(1-p)=√80*0.20=4
Therefore, to calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:
P(X>80)= 1- P(X<80)
You could calculate this value via a normal distributionapproximation:
P(Z<(80-80)/4)=1-P(Z<0)=1-50=0.50
The probability that the number of free throws he makes exceeds 80 is approximately 0.50
The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.
Given that,
A college basketball player makes 80% of his free throws.
Over the course of the season, he will attempt 100 free throws.
Assuming free throw attempts are independent.
We have to determine,
The probability that the number of free throws he makes exceeds 80 is.
According to the question,
P(Make a Throw) = 80% = 0.80
number of free throws n = 100
Binomial distribution:
Mean: [tex]n \times p = 0.80 \times 100 = 80[/tex]
Then, The standard deviation is determined by using the formula;
[tex]= \sqrt{np(1-p)} \\\\=\sqrt{80\times (1-0.80)}\\\\= \sqrt{80 \times 0.20 } \\\\= \sqrt{16} \\\\= 4[/tex]
Therefore,
To calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:
[tex]P(X>80)= 1- P(X<80)[/tex]
To calculate this value via a normal distribution approximation:
[tex]P(Z<\dfrac{80-80}{4})=1-P(Z<0)=1-0.50=0.5000[/tex]
Hence, The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.
To know more about Probability click the link given below.
https://brainly.com/question/21586810
Answer pls need help
The pressure p(in lbs/in^2) that a 160 pound persons shoe exerts on the ground when walking varies inversely with the area A(in in^2) of the sole of the shoe when the shoes have a sole area of 40 in^2 The pressure is 4 lbs/in^2 find equation that relates these variables
A=
riley has a farm on a rectangular piece of land that is 200 meters wide
Answer:
Do you mean "Riley has a farm on a rectangular piece of land that is 200 meters wide. This area is divided into two parts: A square area where she grows avocados (whose side is the same as the length of the farm), and the remaining area where she lives.
Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados. That way, she manages to save some money every week." ?
The answer is 7L^2>3l(200-l)
One day Pat Unger worked for a total of 8
hours. She worked 3 hours more in the after-
noon than she worked in the morning. How
long did she work in the afternoon?
Answer:
5.5 hours
Step-by-step explanation:
Let the no. of hours worked in morning by Pat = x hours
given that "She worked 3 hours more in the after-
noon than she worked in the morning"
No. of hours worked in Afternoon by Pat = x + 3 hours
Total hours worked in the day = x + x+3 = 2x +3 hours (1)
It is given that Pat worked for 8 hours that day (2)
thus, using 1 and 2 we have
2x +3 = 8
=>2x = 8 - 3 = 5
=> x = 5/2 = 2.5
no. of hours worked in morning by Pat = x hours = 2.5 hours
No. of hours worked in Afternoon by Pat = x + 3 hours = 2.5 + 3 hours
No. of hours worked in Afternoon by Pat = 5.5 hours --- Answer.
Example and answer,will give brain
Answer:
b) -2/5
Step-by-step explanation:
b is -2/5 because its negative and goes down at a rate of 0.4 or 2/5
a , ummmm IDK that, sorry
Brainliest, crown to me
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
B. F(x) = 3(x - 2)² - 2
Step-by-step explanation:
→The function F(x) narrowed, meaning the absolute value being multiplied to the function is greater than 1.
→The function F(x) flipped over the x-axis, this means that the number being multiplied has to be a negative.
→The function F(x) shifted to the left 2 units, this means there needs to be a 2 being added.
→The function F(x) shifted downwards 2 units, meaning there needs to be a 2 being subtracted from the whole function.
This gives us the correct answer of "B. F(x) = 3(x - 2)² - 2."
Please help! Correct answer only, please! Jason has the following averages in his math class: homework avg: 80 quiz avg: 84 test avg: 74 final exam: 60 if the teacher weights homework at 20%, quizzes at 30%, tests at 40%, and the final exam at 10%, what is jason's class average? A. 74 B. 77 C. 79 D. 82
Answer:
77
Step-by-step explanation:
80*0.2 + 84*0.3 + 74*0.4 + 60*0.1 = 76.8 = 77
In the rectangular prism, express each of the following in terms of s, t, and u. Give an explanation for each of your answers.
(a) HK
(b) GL
(c)JH
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
a
[tex]\= HK = \= t + \= u[/tex]
b
[tex]\= GL = \= s - \= t[/tex]
c
[tex]\= JH = \= u + \= s[/tex]
Step-by-step explanation:
Now looking at the diagram
Following the direction of the unit vectors [tex]\= u , \= s, \= t[/tex]
[tex]\= {HK} = \= {KI} + \= KL[/tex]
=> [tex]\= HK = \= t + \= u[/tex]
And
[tex]\= GL = \= GH + \= GF[/tex] jjj
=> [tex]\= GL = \= s - \= t[/tex]
Also
[tex]\= JH = \= JG + \= JI[/tex]
=> [tex]\= JH = \= u + \= s[/tex]
Solve the equation then write how many solutions there is in this problem: 8x-3+14=24x+5
Answer:
x = 0.375
Step-by-step explanation:
Step 1: Simplify both sides of the equation
8x − 3 + 14 = 24x + 5
(8x) + (−3 + 14) = 24x + 5
8x + 11 = 24x + 5
- 24
-16x + 11 = 5
-11
-16x = -6
-16x/-16 = -6/-16
x = 3/8
x = 0.375
Given the following information, find the probability that a randomly selected dog will be a golden retriever or a poodle. Number of dogs who are poodles: 31, golden retrievers: 58, beagles: 20, pugs: 38a) 39.5%b) 60.5%c) 58.0%d) 46.9%
Answer: a) 39.5%
Step-by-step explanation:
For random selections, we assume that all the dogs have the same probability of being selected.
In this case, the probability will be equal to the number of golden retrievers divided the total number of dogs.
We have 58 golden retrievers, and the total number of dogs is:
31 + 58 +20 + 38 = 147
Then the probability is:
P = 58/147 = 0.395
If we multiply it by 100%, we obtain the percentage form:
0.395*100% = 39.5%
So the correct option is a.
In two sample surveys 125 people were asked about their favorite fruit in the survey 40 people chose apples 64 choose oranges and 21 chose bananas in the second 34 chose apples 63 chose oranges 19 Joe’s banana marine inferred before is this a French trooper by us on the data explain
Answer:
Marianne made an inference that is true based on the data. More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.
hope it help please mark me as brainliest
What is the square root of 100?
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Square root is finding what number times what gets your goal.
10 x 10 = 100 so 100 squared is 10.
5 x 5 = 25 so 25 squared is 5.
4 x 4 = 16 so 15 squared is 4.
You get it? :)
Have a nice day!
Find the 1000th term for the sequence
Answer:
D. 7017
Step-by-step explanation:
if 24 is the first term, find 7x999, or 7x1000-7 and add 24
however a better way would be to use the formula
value=a+(n-1)d
a = the first term in the sequence (24)
n = the amount of terms you need (1000)
d = the common difference between terms (7)
If the probability of a machine producing a defective part is 0.05, what is the probability of
finding exactly 5 defective parts from a sample of 100? (Assume that the process follows a
binomial distribution and round answer to four places)
Answer:
0.1800 to 4 places of decimals.
Step-by-step explanation:
Using the Binomial formula
Probability = 10C5* (0.95)^95 * (0.05)^5
= 100! / 95!*5! * (0.95)^95 * (0.05)^5
= 0.1800178.
Use z scores to compare the given values. Based on sample data, newborn males have weights with a mean of 3259.6 g and a standard deviation of 722.4 g. Newborn females have weights with a mean of 3031.2 g and a standard deviation of 495.9 g. Who has the weight that is more extreme relative to the group from which they came: a male who weighs 1700 g or a female who weighs 1700 g? Since the z score for the male is zequals nothing and the z score for the female is zequals nothing, the female female male has the weight that is more extreme.
Answer:
Since the z score for the male is z=-2.1589 and the z score for the female is z=-2.6844, the female has the weight that is more extreme.
Step-by-step explanation:
To find the z score, we use the following equation:
[tex]z=\frac{x-m}{s}[/tex]
Where m is the mean and s is the standard deviation.
So, the z score for a male who weighs 1700 g is:
[tex]z=\frac{1700-3259.6}{722.4}=-2.1589[/tex]
At the same way, the z score for a female who weighs 1700 g is:
[tex]z=\frac{1700-3031.2}{495.9}=-2.6844[/tex]
Finally, -2.6844 is farther from zero than -2.1589, so the female has the weight that is more extreme.
We are planning on introducing a new internet device that should drastically reduce the amount of viruses on personal computers. We think the price should be $39.99, but are not sure on the percentage of people that would buy it. We do some research and find the following information; Studies from the 1930’s indicate that percentage should be between 30% and 40% Similar products were launched recently at a price of $4,000 and nobody bought it. A nationwide poll on this type of product and price was run earlier this year, with percentages running from 75% to 80%. We are going to conduct an additional focus group before we launch the product. What should the sample size be if we want a 95% CI to be within 5% of the actual value?
Answer:
The sample size required is 289.
Step-by-step explanation:
Let p be population proportion of people that would buy the product.
It is provided that the nationwide poll on this type of product and price was run earlier this year, with percentages running from 75% to 80%.
Assume that the sample proportion of people that would buy the product is, [tex]\hat p=0.75[/tex].
A 95% Confidence Interval is to be constructed with a margin of error of 5%.
We need to determine the sample size required for the 95% Confidence Interval to be within 5% of the actual value.
The formula to compute the margin of error for a (1 - α)% confidence interval of population proportion is:
[tex]MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The critical value of z for 95% confidence interval is,
z = 1.96.
Compute the sample size required as follows:
[tex]MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\ \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}[/tex]
[tex]=[\frac{1.96\cdot \sqrt{0.75(1-0.75)} }{0.05}]^{2}\\\\=(16.9741)^{2}\\\\=288.12007081\\\\\approx 289[/tex]
Thus, the sample size required is 289.
A rectangle has an area of 96cm2 it's length is 4cm longer than it's width. Calculate the length and width.
Answer:
I think l
Step-by-step explanation:
first add 96 and4 then 2 I think
I promise brainliest and a exter 25 poinst to the first to answer What is the solution to the inequality 2x ≥ -4? Click the number line until the correct answer is shown...
:
Answer:
the answer is the arrow going to the right because its not a negative number and a closed circle
Step-by-step explanation:
so that means that 2x is at LEASt more than -4 opposed to this sign> wich just means greater than
because when you work with variables you usually cannot find the exact amount especially when you are rounding so you know that its biigger than no less than or at least -4
the answer is the arrow going to the right because its not a negative number and a closed circle
please please mark as brainliest
What is the value of X ?
Answer:
D
Step-by-step explanation:
2² + 6² = x²
4 + 36 = x²
40 = x²
x = 2√10
a condition for two vectors to be equal is that?
Answer:
Vector is equal to vector b. For two vectors to be equal, they must have both the magnitude and the directions equal.
Step-by-step explanation:
I need help solving this problem. It tells me that I could use any method provided above but I don't really get it. Could someone help?
The Problem:
You have to be careful when using a ladder. If you place the ladder too close to the wall, it could tip over. If you place the ladder too far from the wall, it could slide down. To prevent this, safety experts recommend the 4-to-1 Rule: for every 4 feet you want to go up the wall, place the base of the ladder one foot away from the wall.
The longest ladder available at many hardware stores is 40 feet. What is the highest you could reach with this ladder?
The problem gives me three methods to pick from to solve the problem. Each method had a clue underneath.
Hints:
Method 1: Know that the height must be 4x the base. Also know that hypotenuse is the longest side, so height must be shorter than 40 (and base must be shorter than 10 feet).
Method 2: Base^2+Height^2=40^2
Height= 4 • base
Method 3:
Base^2+Height^2=40^2
Base= 0.25 • height
The answers this problem asks for is:
The base, height and length.
Answer:
The highest you could reach with this ladder is 30 feet or 9.14 meters.
A local country officials need to calculate the capacity of a large hole for the garbage refuse dump. The dump hole is 250 feet long,120 feet wide and 30 feet deep. What is the capacity of the dump hole in cubic feet.
Answer:
900000cubic feet
Step-by-step explanation:
capacity of dump hole= 250*120*30
= 900000cubic feet
Please answer this correctly
Answer:
0-19: Make it 4 units tall
20-39: Make it 2 units tall
40-59: Make it 5 units tall
60-79: Make it 3 units tall
80-99: Make it 1 unit tall
Step-by-step explanation:
0-19: 4, 6, 19, 19 (4 numbers)
20-39: 29, 38 (2 numbers)
40-59: 40, 41, 41, 57, 58 (5 numbers)
60-79: 62, 66, 73 (3 numbers)
80-99: 87 (1 number)
In the United States, the mean and standard deviation of adult men's heights are 70 inches (5 feet 10 inches) and 4 inches, respectively. Suppose the American adult men's heights have a normal distribution Whe probability that a randomly chosen American man is taller than 6 feet (72 inches) is equal to:___________. (round off to fourth decimal place, use the given table)
a. 0.6853
b. 0.0062
c. 0.3085
d.0.6915
e. None of these
Answer:
[tex]P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)[/tex]
And we can find this probability using the complement rule and the normal standard table:
[tex]P(z>0.5)=1-P(z<0.5)= 1- 0.69146= 0.3085[/tex]
And the best solution would be:
c. 0.3085
Step-by-step explanation:
For this case we can convert all the values to inches in order to standardize the solution:
[tex] 5ft * \frac{12 in}{1ft}= 60 in[/tex]
[tex] 6ft * \frac{12 in}{1ft}= 72 in[/tex]
Let X the random variable that represent the heights of US mens, and for this case we know the distribution for X is given by:
[tex]X \sim N(70,4)[/tex]
Where [tex]\mu=70[/tex] and [tex]\sigma=4[/tex]
We are interested on this probability
[tex]P(X>72)[/tex]
We can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using this formula we got:
[tex]P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)[/tex]
And we can find this probability using the complement rule and the normal standard table:
[tex]P(z>0.5)=1-P(z<0.5)= 1- 0.69146= 0.3085[/tex]
And the best solution would be:
c. 0.3085
Using the normal distribution, it is found that the probability that a randomly chosen American man is taller than 6 feet (72 inches) is equal to:
c. 0.3085
In a normal distribution 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]
It 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, which is the percentile of X.In this problem:
Mean of 70 inches, thus [tex]\mu = 70[/tex].Standard deviation of 4 inches, thus [tex]\sigma = 4[/tex].The probability of being taller than 72 inches is 1 subtracted by the p-value of Z when X = 72, thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{72 - 70}{4}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
1 - 0.6915 = 0.3085
Thus, option c.
A similar problem is given at https://brainly.com/question/24855678
Which of the lists of letters all have line symmetry? A, B, C, D W, X, Y, Z L, M, N, O S, T, U, V
Answer:
A, W, X, Y, M, O, T, U, V, C, D
Step-by-step explanation:
If you put a line through the middle, then the left and the right side will look the same
find the arc length of the particle circle
Answer:
Is there a picture or graph or..
Step-by-step explanation:
Step-by-step explanation:
arc length = (radians * radians) . 90° is π/2 radians. Arc length is (π/2×4). So the answer is 2π.
Please help me :( with this
Answer:
21
Step-by-step explanation:
Similar triangles. MNL is just ABC but 3/4 the size.
x = 8*3/4 = 6
perimeter woudl be 6+6+9 = 21
perimeter.
6) A quadrilateral can have 2
reflex angles.
Answer:
False
Step-by-step explanation:
Answer:
A quadrilateral can't have 2 reflex angles
Step-by-step explanation:
A quadrilateral can't have 2 reflex angles because reflex angles > 180° so if you add two together, it is > 360°
A sofa regularly sells for $450. The sale price is$337.50. Find the percent decrease of the sale price from the regular price
Answer:
25% decrease
Step-by-step explanation:
Take the original price and subtract the new price
450-337.50 =112.50
Divide by the original price
112.50/450=.25
Multiply by 100% to change to percent form
25%
