Answer: Around 171, more specifically 171.36 if you need a exact number. You can also round it up if you need too.
Step-by-step explanation: 0.72 times 238 = 171.36
The life span of a graphing calculator manufactured by Texas Instruments has a normal distribution with a mean of 54 months and a standard deviation of 8 months. The company guarantees that any calculator that starts malfunctioning within 36 months of the purchase will be replaced by a new one. You apply the normal model and discover that this is approximately 1.22% of their graphing calculators. Texas Instruments has sold 75 million graphing calculators world- wide. How many of these would you expect to malfunction within 3 months (and thus need to be replaced)? Explain.
Answer:
The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
Step-by-step explanation:
Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.
It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.
Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.
That is,
P (X) = 0.0122
Texas Instruments has sold 75 million graphing calculators world- wide.
Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:
E (X) = n × P (X)
= 75 × 10⁶ × 0.0122
= 915000
Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.
A map has a scale of 2 in: 6 mi. If Clayton
and Centerville are 10 in apart on the map
then how far apart are the real cities?
Sammie bought just enough fencing to border either a rectangular plot or a square plot,
shown. The perimeters of the plots are the same. How many feet of fencing did she buy?
(3x + 6) feet.
———————
| |
| | (x - 1) feet
|__________|
(x + 6) feet
___________
| |
| |
| | (x + 6) feet
| |
|__________ |
Sammie bought____feet of fencing.
Answer:
3.5 feet
Step-by-step explanation:
The question isn't formatted properly.
We have:
(x + 6) feet on each side of the square
(3x + 6) feet horizontally on the rectangle
(x - 1) feet vertically on the rectangular
First, we need to determine the perimeter of the square:
[tex]Perimeter = 4 * Length[/tex]
[tex]Perimeter = 4 * (x + 6)[/tex]
[tex]Perimeter = 4x + 24[/tex]
Next, we determine the perimeter of the rectangle
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(3x + 6 + x - 1)[/tex]
[tex]Perimeter = 2(3x + x+ 6 - 1)[/tex]
[tex]Perimeter = 2(4x+ 5)[/tex]
[tex]Perimeter = 8x+ 10[/tex]
Equate both perimeters:
[tex]8x + 10 = 4x + 24[/tex]
Collect Like Terms
[tex]8x - 4x = 24 - 10[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
The price of a sweater was reduced from $20 to $12, By what percentage was the price of the sweater reduced?
Answer:
40%
Step-by-step explanation:
12 ÷ 20 = .6
You can convert the .6 to a percentage by multiplying it:
.6 x 100 = 60%
If 12 is 60% of 20, then that means 40% was taken away.
Price of the sweater was reduced by 40%.
Given in the question,
Original Price of a sweater is $20.Price of the sweater was reduced from $20 to $12.Percentage reduction in the price from $20 to $12 can be calculated from the expression,
Percentage reduction = [tex]\frac{\text{Change in price}}{\text{Original price}}\times 100[/tex]
= [tex](\frac{20-12}{12})\times 100[/tex]
= [tex]\frac{8}{12}\times 100[/tex]
= 40%
Therefore, price of the sweater was reduced by 40%.
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Find the missing angles
Answer:
<2= 133
<3 = 47
<4 = 133
<5 = 47
<6 = 133
<7 = 47
<8 = 133
Step-by-step explanation:
im assuming a transversal is cutting the two lines, and that the 2 lines are parallel
2 = u must do 180-47 since theyre supplementary angles
3 = they are vertical angles
4 = 4 is a vertical angle to 2, but you can also do 180-47 since it is supp. to 3
5 = corresponding angle to the 47 degrees one
6 = alternate interior with 4, but also corresponding with 2
7 = vertical angles with 5 but also alternate exterior with the 47 degree angle , but also supplementary with both 6 and 8, and corresponding with 3
8= corresponding with 4, but also supplementary to 7 and 5. and vertical to 6
Answer:
<2= 133 <3 = 47 <4 = 133 <5 = 47 <6 = 133 <7 = 47 <8 = 133
Arachnophobia is the fear of spiders. People with arachnophobia suffer to different degrees, but they tend to react intensely to visible signs of the presence of spiders, such as webs. The director of a clinic decides to investigate different treatment types for arachnophobia. She gathers three groups of clients: One group receives in vivo flooding, which involves prolonged or repeated exposure to the actual anxiety-producing stimuli. The second group receives imaginal flooding, which involves the same techniques as in vivo flooding, except the exposure occurs in the client’s imagination. The third group receives no treatment. The results come in, and a statistician conducts an analysis of variance.
The ___________ is that there is no difference between the population means (in other words, there is no treatment effect).
The ___________is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
Answer:
1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).
2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
Step-by-step explanation:
In a statistical analysis, the statistician shares his participants into several groups and administers treatments to them. After administering the treatment, he might want to compare the values obtained to see if there is a difference. If he accepts the null hypothesis as true, that means that there was no difference between the population means. This can also be taken to mean that the result had no difference among the groups.
But if the alternative hypothesis was true, that means that the population means were not all equal and so, there was an effect from the treatment administered.
Answer:
1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).
2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).
A junior basketball player has a goal of scoring at least 1,000 points in his high-school career. His team plays twenty games per year, and after two years he has 320 points
Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and three azaleas. The azaleas cost $22 each. Let c be the cost for a salvia. Which inequality below could be used to show how much money Frank spent on salvia?
Answer: 3×22+c≤85
Step-by-step explanation: i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be greater
Hope this helped
The inequality for the given situation is 66+c ≤ 85.
Given that, Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and 3 azaleas. The azaleas cost $22 each.
What is inequality?In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Let c be the cost for a salvia.
Three azaleas + A salvia ≤ 85
3×22+c ≤ 85
⇒ 66+c ≤ 85
Therefore, the inequality for the given situation is 66+c ≤ 85.
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3.2654376... Rational or Irrational *
O Rational
O Irrational
Answer:
its irrational if the number goes on forever my g
Describe how to write a three-digit number in three different ways.
Answer:
Step-by-step explanation:
how do u want me to solve it
Write 257% as decimal
Answer:
please mark brainliest!
Step-by-step explanation:
2.57
Answer:
2.57
Hope this helps! Mark me brainliest
god bless!
what is the answer for this -6+x=-11
Answer:
x = -5
Step-by-step explanation:
-6 + x = -11
x = -11 + 6
x = -5
Answer:
x=17
Step-by-step explanation:
17+ -6= 11
pls mark brainlest for real ('>')
A composition of transformations maps pre-image EFGH to final image E"F"G"H".
Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime. Trapezoid E prime F prime G prime H prime is reflected across the line of reflection c to form trapezoid E double-prime F double-prime G double-prime H double-prime.
The first transformation for this composition is [________], and the second transformation is a reflection across line c.
a 180° rotation about point G
a 180° rotation about point H
a translation down and to the left
a translation up and to the right
Answer:
c. a translation down and to the left
Step-by-step explanation:
As per translation of a graph, the first transformation for this composition is translation down and to the left.
What is the translation of a graph?"A translation of a graph is its rigid movement, vertically or horizontally."
Here, A composition of transformations maps pre-image EFGH to final image E"F"G"H".
Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime.
Therefore, this transformation for this composition is translation down and to the left, and the second transformation is a reflection across line c.
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#16 What is the product of
3.4 and 15.56?
Answer:
53.04
Step-by-step explanation:
Answer:
52.904
Step-by-step explanation:
What sample size is needed to give a margin of error within in estimating a population mean with 99% confidence, assuming a previous sample had .
This question is Incomplete
Complete Question
What sample size is needed to give a margin of error within ± 13 in estimating a population mean with 99% confidence, assuming a previous sample had s=116
Answer:
The sample size n = 530 samples
Step-by-step explanation:
Margin of Error formula = z × standard deviation/√n
Margin of Error = ± 13
Standard deviation = 116
z = z score of 99% = 2.58
±13 = 2.58 × 116/√n
Cross Multiply
±13 × √n = 2.58× 116
±13 × √n = 299.28
√n = 299.28/±13
√n = ± 23.0215384615
Square both sides
(√n)² = (±23.0215384615)²
n = 529.991233134
Approximately , n = 530 samples
Write a linear equation that passes through the points (1,-6) and (-3, 10) *
HAHAHA HELP PLS
y=-4x-2
Step-by-step explanation:
Answer:
y= -4x-2
Step-by-step explanation:
10- -6/-3-1
10+6/-3-1
16/-4
-4
At a middle school, 3 out of 4 students ride a bus to school. There are 600 studenta at the school. How many students ride a bus to school
Answer:
450 students ride a bus to school.
Step-by-step explanation:
If 3 out of 4 middle school students attend class by bus, it could be stated that 75% of the students use this means of transport to get to class (3/4 = 0.75).
Therefore, if this school has a total of 600 students, and 75% of them use the bus, it could be stated that 450 students attend school using this means of transport (600 x 75/100 = 450).
Answer:
450 students
Step-by-step explanation:
1/4 = 0.25
3/4 = 0.75
600 x 0.75 = 450 students
Hope this helps!
what’s 3/4 of 2/5 ?
** I WILL MAKE UP BRAIN LIST OR SOMETHING
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
[tex] = \frac{3}{4} \times \frac{2}{5} [/tex]
[tex] = \frac{3 \times 2}{4 \times 5} [/tex]
[tex] = \frac{6}{20} [/tex]
[tex] = \frac{6 \div 2}{20 \div 2} [/tex]
[tex] = \frac{3}{10} [/tex]
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
This is a shorter explanation. It's better to use this if you are good at maths or in a higher level.
[tex] \frac{3}{4} \times \frac{2}{5} [/tex]
[tex] = \frac{6}{20} [/tex]
[tex] = \frac{3}{10} [/tex]
That's it.
What do you think the important skills necessary in solving problems in differential calculus?
Answer:
idk if this helps but here:
Cutoff points are a crucial piece of calculus and are among the main things that understudies find out about in a calculus class. So, finding the constraint of a capacity implies figuring out what esteem the capacity approaches as it draws nearer and more like a specific point.
Step-by-step explanation:
20 points & Brainliest
Why are rotations a rigid motion?
Answer:
RC,\α is a rigid motion.
Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.
the motion follows in a circularmanner with C as the center.
consider a point Q which changes to Q1 after rotation by an angle\alpha
Step-by-step explanation:
When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.
3
Describe and correct the error a student made when graphing the linear equation y = -3/4x -6
Answer:
In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
Answer:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.
find the equation of the graphed function.
f(x)= _________
Answer:
y =(x+3) ^2
Step-by-step explanation:
The zero is -3 and it is the vertex (-3,0)
Using the vertex form of a parabola where ( h,k) is the vertex
y = a( x-h)^2 +k
y =a(x- -3) ^2+0
y =a(x+3) ^2
We also know another point is ( -1,4)
Substituting that point into the equation
4 = a( -1+3) ^2
4 = a( 2)^2
4 = a*4
Divide each side by 4
1 =a
The equation is
y =(x+3) ^2
s x = –4 a valid solution this linear equation? 2x + 9(x – 1) = 8(2x + 2) – 5 No. When –4 is substituted for the variable, the result is a true statement. No. When –4 is substituted for the variable, the result is a false statement. Yes. When –4 is substituted for the variable, the result is a true statement. Yes. When –4 is substituted for the variable, the result is a false statement.
Answer:your answer is C!
Step-by-step explanation: I got it right
Answer:
c) Yes. When –4 is substituted for the variable, the result is a true statement.
Step-by-step explanation:
i verified with my teacher may i plz get brainliest
what is the solution to -3/4x + 2
Answer: 1/4x(3x+8)
Step-by-step explanation:
hope this helps
let me know if its correct!!
free brainlyest if answer 9+10 the right way
Answer:
19
Step-by-step explanation:
literally if this is wrong i swear
Answer:
19
Step-by-step explanation:
Rewrite it as a function and isolate Y.
Answer: y= -2x + 12
or f (y ) = 6 - [tex]\frac{y}{2}[/tex]
Step-by-step explanation:
just subtract the 2x to get the y alone
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4.
Answer:
4(2x-3)
Step-by-step explanation:
Answer:
4 x (2x-3)
I hope it helps
Pls mark as Brainliest
From the table below, determine whether the data shows an exponential function. Explain why or why not.
х
3 1 -1 -3
у
1 2 3 4
a. No; the domain values are at regular intervals and the range values have a common sum 1.
b. No; the domain values are not at regular intervals.
C. Yes; the domain values are at regular intervals and the range values have a common factor 2.
d. Yes; the domain values are at regular intervals and the range values have a common sum 1.
Answer:
B because the domains repeat themselves so it can not be a function
No; the domain values are not at regular intervals.
The correct option is b.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
In an exponential function, the domain values are usually at regular intervals, and the range values have a common factor or a common sum.
In the given data, the domain values are not at regular intervals.
The difference between 3 and 1 is 2, and the difference between 1 and -1 is 2, but the difference between -1 and -3 is -2.
This indicates that the domain values are not at regular intervals, which means that the data cannot be modeled by an exponential function.
Additionally, the range values also do not have a common factor or a common sum. The difference between consecutive y-values is 1, which is not a constant factor or sum.
Therefore, the data cannot be modeled by an exponential function.
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Find the 15th term of the arithmetic sequence if the first term is -3 and the common difference is 2. Write the equation first, then substitute to find the answer
Answer:
25.
Step-by-step explanation:
f(x)=-3+2(x-1)
f(15)=-3+2(15-1)
f(15)=-3+2(14)
f(15)=-3+28
f(15)=25
what is the best estimate of 45 percent of 76
9514 1404 393
Answer:
In order of improvement:
383434.2 (actual value)Step-by-step explanation:
In my engineering experience, a method of estimating should satisfy two requirements:
it should be relatively easy to accomplish mentallyit should provide a means of estimating the error in the estimate__
Multiplication and division by 2 are generally easy to perform mentally.
We note that 45% is about 50%.
50% of 76 is 76/2 = 38 . . . a good starting estimate
45% is down 5% from 50%, so the actual value will be 5/50 = 10% lower than this first estimate
A good second estimate is 38 -0.10(40) = 34.
A better estimate is 38 -3.8 = 34.2, which is the actual value of the expression.
_____
Alternate approach
You could also transform the problem to 76% of 45, which is about 3/4 of 44, or about 33. Figuring the error adjustment on this approach is somewhat more difficult, as it is factors of 1/75 and 1/44 too low. 1 part in 44 is not too difficult to figure, as it is 33/44 = 3/4, so a better estimate is 33.75. It takes a calculator to figure 1 part in 75 of this, which is 0.45. Adding that amount gets you to the actual value of 34.2.