Simplify the expression.
6(12-3) + 4 + (3 x 2)
Answer:
64
Step-by-step explanation:
72-18+4+6=64
Answer:
64
Step-by-step explanation:
) If the warranty guarantees the dishwasher will last at least 14 years or your money back, what is the probability that the company will have to refund money to a customer
Using the normal distribution, it is found that there is a 0.6406 = 64.06% probability that the company will have to refund money to a customer.
Normal Probability DistributionIn 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.Researching the problem on the internet, it is found that the mean and the standard deviation are, respectively, given by [tex]\mu = 13[/tex] and [tex]\sigma = 2.75[/tex].
The probability it lasts less than 14 years is the p-value of Z when X = 14, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14 - 13}{2.75}[/tex]
[tex]Z = 0.36[/tex]
[tex]Z = 0.36[/tex] has a p-value of 0.6406.
0.6406 = 64.06% probability that the company will have to refund money to a customer.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Menso is an organisation for people with high Intelligence Quotients (IQs). Menso is investigating the average IQ of primary school students to determine whether its entry requirements should be altered for younger people. A sample of 55 primary school students have been randomly selected from schools throughout the country. The sample mean IQ of those students was calculated as 92. It is known that the population standard deviation of the IQs of all people is 10. It is assumed that this standard deviation will also apply specifically to the IQs of the primary school students. Calculate the upper and lower bounds of the 95% confidence interval for the mean IQ of primary school students. Give your answers to 2 decimal places
Answer: upper bound = 89.36 and lower bound = 94.64
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where [tex]\overline{x}[/tex] = sample mean , n= sample size , z* = two-tailed critical value, [tex]\sigma[/tex]= population standard deviation
As per given , we have
[tex]\overline{x}[/tex] = 92
n = 55
[tex]\sigma[/tex]= 10
Critical value for 95% confidence interval = 1.96
Required confidence interval : [tex]92\pm (1.96)\dfrac{10}{\sqrt{55}}[/tex]
[tex]92\pm (1.96)(1.3484)\approx92\pm2.64\\\\= (92-2.64,\ 92+2.64)\\\\=(89.36,\ 94.64)[/tex]
Hence, for 95% confidence interval for the mean IQ of primary school students:
upper bound = 89.36 and lower bound = 94.64
The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
Please help I will give you brainliest. I need this answered ASAP please!
But I will only give you brainliest if you provide an explanation please. Here is the question: The hybrid car
powered by the combined gas
engine and electric motor
shown has a fuel economy of
46 miles to the gallon in city
driving and 51 miles to the
gallon on the highway. Suppose
you drive the hybrid car about
10,000 miles in the city each
year. If you pay $1.75 for one
gallon of gas, how much do you
pay for gas in a year?
The car gets 46 miles per gallon in the city.
Divide total miles driven in th city by miles per gallon to find total number of gallons of gas used:
10,000 miles / 46 miles per gallon = 217.3913 gallons of gas used.
Now multiply gallons used by price per gallon:
217.3913 x $1.75 = $380.43 per year
A company has two machines MI and M2. MI produces 60% of its product and M2 produces 40% of its product. M1 produces 5% defective units and M2 produces 4% defective units. A unit is selected at random from the whole product. A) Find the probability that it is defective. B) What is the probability that it was manufactured by machine M2
Step-by-step explanation:
Consider the problem
Let, E 1 and E 2
be the respective events of items produced by machine A and B.
And let x be the event that the produced item was found to be defective.
Therefore,
Probability of items produced by machine A,P (E 1)=60%= 53
Probability of items produced by machine B,P (E 2)=40%= 52
And,
Probability that machine A produced defective items, P( E 1 x)=2%= 1002
Probability that machine B produced defective items, P( E 2 x)=1%= 1001
So, the probability that randomly selected items was from machine A is given by P( x E 1)
Now, Apply Bayes' Theorem
P( x E 1)= P(E 1)P( E 1x )+P(E 2)P( E 2x)P(E 1)P( E 1x)= 52× 1001 + 5
3× 1002
53× 100
2= 2+5
6= 11
6
Hence, the required probability of machine A is
11
6
The required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now given that,
Product produced by machine M1 = 60%
⇒ P(M1) = 60% = 0.6
Defective units = 5%
⇒ P(D1) = 5% = 0.05
Product produced by machine M2 = 40%
⇒ P(M2) = 40% = 0.4
Defective units = 4%
⇒ P(D2) = 4% = 0.04
Now, a unit is selected at random from the whole product
So, probability that it is defective is given as,
P(D) = P(D|M1) * P(D1) + P(D|M2) * P(D2)
⇒ P(M1|M2) = (0.6 X 0.05) + (0.4 X 0.04)
⇒ P(M1|M2) = 0.03 + 0.016
⇒ P(M1|M2) = 0.046
And probability that it was produced on the first machine(M2).
P(M2|D1) = P(M2∩D1) / P(D1)
⇒ P(M2|D) = (0.4 X 0.04)/0.04
⇒ P(M2|D) = 0.016 / 0.04
⇒ P(M2|D) = 0.4
Thus, the required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
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What number is 175% of 56
Answer:
Your correct answer is 32.
Step-by-step explanation:
175 percent (calculated percentage %) of what number equals 56?
Answer: 32
A number 98 is 175 percent of 56.
We have to given that,
To find a number which is 175% of 56.
Let us assume that,
A number which is 175% of 56 is, x
Hence, We can write as,
x = 175% of 56
x = 175/100 × 56
x = 1.75 × 56
x = 98
Therefore, The solution is, 98
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Without multiplying, order the following products from least to greatest.
2x3/5. 1/4x 3/5. 1 2/5x 3/5. 6/6x 3/5.
Please help, Thank you.
Answer:
6/6 x 3/5, 1/4 x 3/5, 1 2/5 x 3/5, 2 x 3/5
Hope this helps
Step-by-step explanation:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
[tex][Hello,BrainlyUser!\; I'm\;Lenvy][/tex]
[tex]Your\;Answer\;Is\;Below[/tex]
Answer:
42 feet
Step-by-step explanation:
First let know what is
Yards to Feet
Note that;
1 Yard ⇒ 3 Feet
Thus, Formula: Multiply the length value by 3
Given:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
Therefore, 14 * 3 = 42
Hence, Answer is Lena brough 42 feet of ribbon.
~[CloudBreeze]~
Answer:
42 feet
Step-by-step explanation:
Important Info:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
Notice it say how many feet..
Therefore, Let's first know what yards to feet..
1 Yard → 3 feet
Since we know that We can Solve now:
To Find how many feet of ribbon she buy let's multiply;
14 x 3 = 42
or
14 + 14 + 14 = 42
Hence, Knowing that Lena brought 42 ribbon in feet.
[RevyBreeze]
h(a) = a² + 1
g(a) = 2a + 4
Find h(g(8))
[tex]g(a) = 2a + 4[/tex]
[tex]g(8) = 2(8) + 4 = 20[/tex]
_________________________________
[tex]h(a) = {a}^{2} + 1 [/tex]
[tex]h(g(8)) = h(20) = {20}^{2} + 1 = 401 \\ [/tex]
Done...♥️♥️♥️♥️♥️
A production facility has a constant flow of truck drivers that pickup products to deliver to customers. Recently, they have installed a new automatic gate system. Occasionally, truck drivers have issues either entering or exiting the facility using the automatic gate system. Over the course of one week, the production facility randomly selected 8 truck drivers. The random sample showed the 8 truck drivers had an average of 4.5 (with a standard deviation of 3.3) issues with entry into the facility and an average of 6.6 (with a standard deviation of 2.0) issues with exit from the facility. The production facility would like to know if the new automatic gate system has MORE issues with exiting the facility than entering it. What test should be used
Answer:
Two sample test of paired means with unknown variance (standard deviation)
Step-by-step explanation:
Find the unit rate, please.
7 errors in 60 minutes.
Answer:
1 error / about 8 minutes and 30 seconds
Step-by-step explanation:
1/8.5 Divide the fraction by 7.
By dividing both numbers of the fraction, you are finding how many errors are in the number of minutes you make them.
Exact answer: 1/8.571428 repeated
Rounded answer: 1/8.56
A water pitcher contains 2/3 gallons of water you add 5/7 gallons of water to the picture how much water to the picture contain right the answer in simplest form
can someone pls help with both of these. WILL MARK BRAINLIEST
Answer:
The first one is : B. 12
The second one is: B. 4
Step-by-step explanation:
1 Explained:
12 * 3 = 36
36 - 24 = 12
Therefore if he had taken 3 times as many he would have had 36. And 36 is 24 more than 12.
2 Explained:
blue + green + yellow = 240
120 + 40= 160
240 - 160= 80
Yellow= 80
120/20= 6
40/20= 2
80/20= 4
6 blue
2 green
4 yellow
12 in total.
In which number does the 5 represent a value 10 times the represented by the 5 in 35,187. A 117,568. B 247,351 C 325,827. D 453,362
Answer:
The answer is D
Step-by-step explanation:
Given : Number 35,187.
To find : In which number does the 5 represent a value 10 times the value represented by the 5 in number ?
Solution :
According to place value system,
Ten Thousand Thousand Hundred Tens Ones
3 5 1 8 7
The 5 value is at thousand.
A value 10 times the value represented by the 5 in 35,187 is given by any number placed in ten thousand place.
Therefore, The answer is D
Answer:
"B"
Step-by-step explanation:
The "5" Starts at the place of the "1" and
moves up by one because the "0" in the 10 to make
"B"'s Answer.
Let me know if you elaboration!
Wanda bought a sweater for 25% off. If the original price of the sweater was $56, how much was the discount Wanda received?
Answer: 14 dollar discount
Step-by-step explanation:
Select the action you would use to solve x-3 = 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
O D. Property: Addition property of equality
0
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
Answer: X = 15
Explanation:
Well, If 12 equals X minus 3 then we first must flip the signs.
which is adding. So we take 12 and add 3 which would get us 15.
Double check : 15 (X) - 3 = 12
if you are driving 60 km/hr, how far would you go in 20??
Answer:
1200 km
Step-by-step explanation:
Just multiply by 20
One year, many college-bound high school seniors in the U.S. took the Scholastic Aptitude Test (SAT). For the verbal portion of this test, the mean was 425 and the standard deviation was 110. Based on this information what percentage of students would be expected to score between 350 and 550
Using the normal distribution, it is found that 62.46% of students would be expected to score between 350 and 550.
Normal Probability DistributionIn 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, the mean and the standard deviation are respectively, given by: [tex]\mu = 425, \sigma = 110[/tex]
The proportion of students that would be expected to score between 350 and 550 is the p-value of Z when X = 550 subtracted by the p-value of Z when X = 350, hence:
X = 550:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{550 - 425}{110}[/tex]
[tex]Z = 1.14[/tex]
[tex]Z = 1.14[/tex] has a p-value of 0.8729.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 425}{110}[/tex]
[tex]Z = -0.68[/tex]
[tex]Z = -0.68[/tex] has a p-value of 0.2483.
0.8729 - 0.2483 = 0.6246
62.46% of students would be expected to score between 350 and 550.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. write a linear equation (y=mx+b) equation. How many pounds will he collect in 7 weeks? How long will it take Rufus to collect 400 pounds of cans?
Answer:
y = 25x +100
He will collect 275 pounds in 7 weeks
It will take him 12 weeks.
Hope this helps!
x f(x)
0 1
2 3
3 4
4 5
5 6
6 7
Which function matches the table?
A)
f(x) = x + 1
B)
f(x) = 1
o
f(x) = x2
D)
f(x) = x - 1
f(x) = x+1
as
f(0) = 0+1 = 1
f(2) = 2+1 = 3
f(3) = 3+1 = 4
and so on
miles wants some new games for his phone. each game costs 2.99 how much would it cost if he bought 7 new games
Answer:
$20.93
Step-by-step explanation:
2.99 x 7= 20.93
Find a polynomial function of degree 3 with real coefficients that has the given zeros.
- 2, 3, -4
Polynomial functions' standard form is f(x)=ax^n+bx^n-1...+k
However, polynomials can also be written in intercept form
f(x)=(x-x1)(x-x2)(x-x3)...(x-xn) for roots/zeros x1,x2,x3,...,xn
With the three numbers that you have -2, 3, -4 you can write function
f(x)=(x-(-2))(x-3)(x-(-4))
Then you can simplify and distribute
f(x)=(x+2)(x-3)(x+4)
f(x)=(x^2-x-6)(x+4)
f(x)=x^3+3x^2-10x-24
Which would be the answer
please guys asap guys i need it so badly thank you
Answer:
Step-by-step explanation:
I just need help with #1
Answer:
65 degrees
Step-by-step explanation:
Since the two straight lines are parallel, this means that Angle 1 and the 65 degrees angle are alternate interior angles; meaning that they're congruent.
So:
Angle 1 = 65 degrees
Hope this helps!
Please let me know if I'm incorrect :)
Answer:
The answer is 65 (degree symbol here)
Step-by-step explanation:
two interior angles on the inside of this shape will always be the same
Which statement is true about figures ABCD and A’B’C’D’?
Answer:
there is no figures could you please um take picture so we can help
. It cost Sophia $530 to make wind chimes. How many wind
chimes must she sell at $12 apiece to make a profit?
Answer:
45
Step-by-step explanation:
530 use division 12 equals ,44.166 so round up
Given that the federal and state biweekly deductions for a single person making $1,300 with zero withholding allowances working in New York are $174 and $54.70 respectively, determine the net biweekly income. a. $1053.08 c. $1071.30 b. $1067.11 d. $1079.13 Please select the best answer from the choices provided A B C D
Answer: C. $1071.30
Step-by-step explanation:
I got this answer by subtracting $174 and $54.70 because those are the federal and state biweekly deductions from her income of $1300.
Answer:
C
Step-by-step explanation:
Just took the quiz and got this right.
Jo’s rectangular dining room is 8 feet wide and 3 feet long. Mike wants to install a new wood floor and new base boards. It will cost $10.00 per square foot for the new flooring.
a. How many square feet of flooring does Jo need to purchase? SHOW YOUR WORK
b. Use the information from part a to answer, how much will it cost Jo for the new flooring?
SHOW YOUR WORK
Answer:
it is 48
Step-by-step explanation:
the reason it is 48 is because the length is 6 feet and it is 8 wide so 8x6=48
and it would be 480.00$
please help me answer this slope question!
FIND SLOPE OF THE LINE ( give me the coordinates too!)
Answer:
Slope = -1/2.
Step-by-step explanation:
2 points on the line are (10, 0) which is where the line passes through the x-axis and (0, 5 ) where it passes through the y-axis.
The slope = (difference in y coordinates) / ( corresponding difference in x coordinates)
= (5 - 0) / (0 - 10)
= -5/10
= -1/2.