Answer:
The probability of completing the exam in one hour or less is 0.0228.
Step-by-step explanation:
Given: Mean = 80
Standard deviation = 10
To find: The probability of completing the exam in one hour or less.
We have, [tex]\mu=80[/tex] and [tex]\sigma=10[/tex].
Now, the z-value is the sample mean decreased by the population mean divided by the standard deviation.
[tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]
⇒[tex]z=\frac{60-80}{10}[/tex]
⇒[tex]z=-2[/tex]
Now, [tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]
⇒[tex]z=\frac{75-80}{10}[/tex]
⇒[tex]z=-0.5[/tex]
Again, [tex]z=\frac{\bar{x}-\mu}{\sigma}[/tex]
⇒[tex]z=\frac{90-80}{10}[/tex]
⇒[tex]z=1[/tex]
Using appropriate appendix table, we get [tex]P(z<-2)=0.0228[/tex].
Income can come from
a a part-time job.
b. allowance
c. odd jobs.
d. all of the above.
Answer:
d
Step-by-step explanation:
Answer:
D. all of the above
Step-by-step explanation:
they all give you money.
5y + 3 = 8y − 5 + 2y
Answer:
[tex] \fbox{y = 8/5 } [/tex]
Explanation:
[to solve for y, first use the properties of equality to simplify the equation]
5y + 3 = 8y − 5 + 2y
5y + 3 = (8y + 2y) – 5
[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]
5y + 3 = 10y – 5
[combine like terms]
5y + 3 = 10y – 5
[tex] \: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3[/tex]
[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]
5y = 10y – 8
–10y –10y
[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]
-5y = -8
÷(-5) ÷(-5)
[divide both sides by -5 to cancel out the coefficient of y: division property of equality]
y = 8/5
Answer
= 8/5 hope this is fine
1. What is the sum of 9/12 + 4/12?
Answer:
1.08
Step-by-step explanation:
9/12 =.75
4/12-.3333
.75+.3333=1.08
Answer:
13/12 or 1.083333333 3 repeating
Step-by-step explanation:
just put them side to side and add across
Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the function is a line. B. The graph has a vertex at (0, -5). C. The graph has a maximum value at (0, 5). D. The graph is much wider than the original parent function y = x2.
Its C the graph has a maximum value at (0,5)
The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the quadratic function y = -3x² + 5:
The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).
Find out more on equation at: https://brainly.com/question/2972832
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The measure of is 150°. What is the value of ?
30°
90°
120°
210°
it is 120 value...............................
Without completing decide whether the value of each expression is on is much smaller than 1 close to 1 or much greater than 1
Answer:
Step-by-step explanation:
1) Larger
2) Less/Close
3) Less
4) Less
5)Less
6) Close
here is a tip if you need help with a question use
the mathhhhhh wayyyy
What is the equation of the line in slope-intercept form?
Answer:
The equation of the line in slope-intercept form is:
y = x + 4
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptGiven the points on the line graph
(0, 4)(1, 5)Determining the slope between (0, 4) and (1, 5)
(x₁, y₁) = (0, 4)
(x₂, y₂) = (1, 5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 4] / [1 - 0]
= 1 / 1
= 1
Thus, the slope of the line = m = 1
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 1 in the slope-intercept form
y = mx + b
y = (1)x + 4
y = x + 4
Therefore, the the equation of the line in slope-intercept form is:
y = x + 4
x − 3(3x + 6) = 5 − 8x
Answer:
23
Step-by-step explanation:
1
Distribute
−3(3+6)=5−8
−9−18=5−8
2
Combine like terms
−9−18=5−8
−8−18=5−8
3
Rearrange terms
−8−18=5−8
−8−18=−8+5
4
Add
18
1818
to both sides of the equation
5
Simplify
6
Add
8
8x8x
to both sides of the equation
7
Simplify
Result:
0=23
If 5 candy bars weigh 40 ounces, what is the weight of 15 candy bars in
ounces
Answer:
Try 120
Step-by-step explanation:
5 times 8 equal 40
15 times 8= 120
Which statement is correct?
A 10 quarts > 2.5 gallons
B 10 quarts < 2.5 gallons
C 10 quarts = 2.5 gallons
Answer:
the answer is C
Step-by-step explanation:
2.5 gallons are equal to 10 quarts
WA
The midline is y=
The amplitude is
The period is
Answer:
The midline is y=-1
Amplitude = 3
The period is 2 units
Step-by-step explanation:
Sinusoidal Function
It refers to a mathematical curve with a smooth and periodic oscillation. Its name comes from the sine function but it can be a cosine function too. They only differ by the phase angle of 90 degrees or π/2 radians.
The amplitude is half the distance from the maximum and the minimum points. The graph shows a sinusoid with a maximum value of y=2 and a minimum value of y=-4.
The amplitude is:
[tex]A=\frac{2+4}{2}=3[/tex]
Amplitude = 3
The midline is the distance from the center of the sinusoid to the x-axis. It's also called the vertical shift.
The midline can be found by subtracting the amplitude A=3 to the maximum value M=2:
ML = 2 - 3 = -1
It can also be found by adding the amplitude to the minimum value:
ML = -4 + 3 = -1
The midline is y=-1
The period is the time the wave takes to complete a full cycle. We only have to focus at any point on the wave (xo,yo) and find the next value of x where the sinusoid has the very same behavior (x1,y1). The period is then x1-x0.
We find at x=0, y=-1 and it's moving up. At x=1 it has the same value but it goes down, so the wave is at its half cycle. At x=2 it repeats the same behavior as for x=0. Thus:
The period is 2 units
First find the value of the variable in the diagram
3 and 8 ?o?
What is the product of
Answer:
the product of 3 and 8? is 24
Answer:
24
Step-by-step explanation:
8+8=16
16+8=24
A previous survey reported that 53% of respondents increased their portfolio value over the past 3 years. How large should a sample be if the margin of error is .03 for a 91% confidence interval
Answer:
A sample of 796 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this question, we have that:
[tex]\pi = 0.53[/tex]
91% confidence level
So [tex]\alpha = 0.09[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.09}{2} = 0.955[/tex], so [tex]Z = 1.695[/tex].
How large should a sample be if the margin of error is .03 for a 91% confidence interval
We need a sample of n, which is found when [tex]M = 0.03[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.695\sqrt{\frac{0.53*0.47}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.695\sqrt{0.53*0.47}[/tex]
[tex]\sqrt{n} = \frac{1.695\sqrt{0.53*0.47}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.695\sqrt{0.53*0.47}}{0.03})^{2}[/tex]
[tex]n = 795.2[/tex]
Rounding up
A sample of 796 is needed.
Which description best compares the graphs of the two functions below I ready
Answer:
Some of your pic is cut off so it's difficult to give the exact answer. But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2. This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third. Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.
The translation that moves a figure down 4, to the right 2 is
1. (x + 4, y - 2)
2. (x - 2, y + 4)
3. (x + 2, y - 4)
4. (x - 4, y + 2)
Y=3x-1 is dilated by a scale factor of 4 and center at the origin what is the equation that represents the image of the line after the dilation
Answer: x=1/3y+1/3
Step-by-step explanation: Step 1: Flip the equation. 3x−1=y Step 2: Add 1 to both sides. 3x−1+1=y+1/3x=y+1 Step 3: Divide both sides by 3. 3x/3 = y+1/3 x= 1/3 y+ 1/3
is the triangle congruent to triangle a? if so how?
Answer:
Step-by-step explanation:
1 and triangle A is congruent by Angle Side Angle congruent.
2 and triangle A is congruent by Side Side Side congruent.
3 and triangle A is congruent by Angle Side Angle congruent.
The LA Dodgers hit the most home runs in 2014. The number of home runs accounted for 6% of the entire major league baseball home run count. If 583 total home runs were hit, then approximately how many did the LA Dodgers hit?
Answer: 39
Step-by-step explanation:
6% = .06 so .06 multiplied by 583 is 38.98 rounded is 39
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
Answer:
a. a reflection only
c. a rotation and a reflection
d. a translation and a reflection
Step-by-step explanation:
just took the test
Answer:
look at the screen shot :)
Step-by-step explanation:
Two points, a and b, are graphed on the number line below. Maynard says there is not
enough information to write an inequality statement comparing a and b. Which statement
explains whether or not Maynard is correct?
Answer:b
Step-by-step explanation:
Maynard is incorrect on the number line a is to the left of b thus a < b can be represented thus option (A) is correct.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given number line,
If a number is going to the left of a number line then it will become lower and lower.
Since a is on the left of b so a < b.
It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.
Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".
For more about inequality,
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Emiko needs to go to the dentist. It takes her 65 minutes to get there on her bike. This is 5 minutes shorter then twice the time it would take by bus. Write and slove an equation to find how long it takes Emiko to get to the dentist by bus.
Answer:
30 minutes by bus
Step-by-step explanation:
Equation: b = bus
b = (65 - 5) / 2
b = 60/2
b = 30 mins
Please give Brainliest :)
is the relationship linear, exponential, or neither?
Your answer is linear.
Tv= $350 discount = 25%
someone please help....
Asap ILL GIVE 20 points
Answer:
5Y+8
Step-by-step explanation:
Answer:5 y +40
Step-by-step explanation: you do 5 times y which is 5y and do 5 times 8 which is 40. And add them together.
1.Identify the mistake in the problem below. Then, correct the mistake.
p-21=34
p-21-21=34-21
p=13
if a bag contains 24 red candies, 6 blue candies, and 12 green candies which statment is true
If the measure of angle 2 is 125 degrees, find the measure of angle 3.PLS HELP
Also can you explain to me?
You make six posters to hold up at a basketball game. Each poster has a letter of the word TIGERS You and five friends sit next to each other in a rowe
The posters are distributed at random. Find the probability that TIGERS is spelled correctly when you hold up the posters
Answer:
1/720
Step-by-step explanation:
there is only one way to spell tiger but there's 720 outcomes of the other words you can make
The probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the letters of TIGERS are given at random.
All the six letters are different and there exist 6! permutations for them. (as for n unique things, there exist n! possible arrangements of theirs).
So, the posters can be distributed in 6! = 6×5×4×3×2×1 = 720 ways.
Out of those 720 ways, there is only one correct way to spell TIGERS correctly.
Thus, we get:
P(event that correct order of posters is distributed) = [tex]\dfrac{1}{720} \approx 0.00139[/tex]
Thus, the probability that TIGERS is spelled correctly when you hold up the posters is 0.00139 approximately or 1/720 exactly.
Learn more about probability here:
brainly.com/question/1210781
Which fraction can be replaced with 0 when estimating with fractions?
A. 1/5
B. 3/4
C. 8/20
D. 4/9