Answer:
6
Step-by-step explanation:
6 is the slope of the function
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on the data from the College Board ATP). If a sample of 15 students is selected randomly, find the probability that the sample mean is above 500. Does the central limit theorem apply for this problem?
Answer:
The value is [tex]P(X > 500 ) = 0.011942[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 430[/tex]
The standard deviation is [tex]\sigma = 120[/tex]
The sample size is n = 15
Generally the probability that the sample mean is above 500
Gnerally the standard error of mean is mathematically represented as
[tex]s = \frac{\sigma }{ \sqrt{n} }[/tex]
=> [tex]s = \frac{ 120 }{ \sqrt{15} }[/tex]
=> [tex]s = 30.984[/tex]
Generally the probability that the sample mean is above 500
[tex]P(X > 500 ) = P( \frac{X - \mu }{\sigma_x} > \frac{500 - 430 }{ 30.984 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
=> [tex]P(X > 500 ) = P( Z > 2.259 )[/tex]
From the z table the area under the normal curve to the right corresponding to 2.259 is
[tex]P( Z > 2.259 ) = 0.011942[/tex]
=> [tex]P(X > 500 ) = 0.011942[/tex]
Lin runs 12 laps around a track in 15 minutes.
Answer:
1.25
Step-by-step explanation:
15/12
Evaluate the expression 2 (b + c) / a if a = 3, b = 5, and C = 1
Answer: 4
Step-by-step explanation:
1. Replace the variables with their corresponding numerical values
2(5+1)/3
2. Evaluate the expression within the parenthesis
2(6)/3
3. Multiply the numerator
12/3
4. Simplify
4
What's the solution to -182=2(1+2x)-2
Answer: [tex]x = -\frac{91}{2}[/tex]
Step-by-step explanation:
If you have any questions, feel free to ask :)
Step 1: Add [tex]2[/tex] to both sides.
[tex]-182 + 2 = 2(1 + 2x)[/tex]
Step 2: Simplify [tex]-182 + 2[/tex] to [tex]-180[/tex].
[tex]-180 = 2(1 + 2x)[/tex]
Step 3: Divide both sides by [tex]2[/tex].
[tex]-\frac{180}{2} = 1 + 2x[/tex]
Step 4: Simplify [tex]\frac{180}{2}[/tex] to [tex]90[/tex].
[tex]-90 = 1 + 2x[/tex]
Step 5: Subtract [tex]1[/tex] from both sides.
[tex]-90 - 1 = 2x[/tex]
Step 6: Simplify [tex]-90 - 1[/tex] to [tex]-91[/tex].
[tex]-91 = 2x[/tex]
Step 7: Divide both sides by [tex]2[/tex].
[tex]-\frac{91}{2} = x[/tex]
Step 8: Switch sides.
[tex]x = -\frac{91}{2}[/tex]
~I hope I helped you :)~
An electronics store is having a 25% off sale on all gaming systems. The
original price of a gaming system is x dollars. Which expression
represents the sale price of a gaming system?
Answer:
x - 0.25x
Step-by-step explanation:
x - 25% of x
x - 0.25x
And a bag of M&Ms there are three red M&Ms for every two yellow M&Ms how many yellow M&Ms would there be if the ratio stay the same and you had 15 red M&Ms
Answer:
30 yellow m&m's
Step-by-step explanation:
Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of water
used. How much salt would they need if they used one cup of water?
Answer:
about a half teaspoon
Step-by-step explanation:
A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?
Answer: (-6, - 6)
Step-by-step explanation:
Here we have two transformations, and the first step will be to explain those transformations:
Reflection over the y-axis.
For a function f(x), the reflection over the y-axis is written as:
g(x) = f(-x)
Then if we initially had a point (x, y), the transformed point will be (-x, y).
Vertical translation.
We can define a vertical translation of N units as:
g(x) = f(x) + N
if N > 0, the translation is up.
If N < 0, the translation is down.
Then if we start with a point (x, y), the transformed point will be (x, y + N)
In the case of this problem we have g(x) = f(-x) - 3
This means that N = -3
Then if we initially had the vertex at the point (6, - 3)
The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:
(-6, -3 - 3) = (-6, - 6)
The vertex of the resulting parabola will be (-6, -6)
Rule of reflectionGiven the function y= f(x), plotted on a graph and the vertex of the resulting
parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:
[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]
[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]
Hence the vertex of the resulting parabola will be (-6, -6)
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Find the volume and solve the application.
A mason's assistant's rate of pay is $0.95 per cubic foot of earth moved. He digs a trench 1.5 ft. wide by 1 ft. deep by 150 ft. in length. What is his pay for this job?
1.5ft * 1ft * 150ft = 225ft^3
225 * $0.95 = $213.75 pay for the job
Which sum or difference is modeled by the algebra tiles
Answer:
i believe the answer that you picked is right ....i think ^^
Given the diagram below, solve for x and y
Answer:
where is the diagram?
Step-by-step explanation:
Answer:
Option A. x=30,y=42
Step-by-step explanation:
The monthly expenditures on food by single adults in one city are monthly distributed with a mean of $410 and a standard deviation of $70
Answer:
is the whole question asked?
A point is plotted at 30.05 on a number line. Which of these describes the
location of the point?
between 5 and 30
between 30 and 31
between 29 and 30
1)) between 31 and 35
Triangle XYZ has vertices at X(-4, 3), Y(-3, -2), and Z(-7, -4). The
triangle will be rotated 270° clockwise about the origin and then
translated 9 units to the right and 5 units down.
What will be the coordinates of Y?
À (2, 3)
B. (7.2)
c. (7, 6)
D. (11, 8)
Answer:
D
Step-by-step explanation:
The coordinates of Y will be (7, 2)
Option B is the correct answer.
What is translation?It is the process of moving a shape to its left, right, up, or down.
The translated and the original shapes are congruent.
We have,
Triangle XYZ.
Vertices:
X(-4, 3), Y(-3, -2), and Z(-7, -4).
The coordinates of Y = (-3, -2)
If the triangle is rotated 270 degrees clockwise, the coordinates of
Y = (-3, -2) will turn to Y = (3, -2).
Translated 9 units to the right.
Y = (3 + 9, -2 + 9)
Y = (12, 7)
Translated 5 units down:
Y = (12 - 5, 7 - 5)
Y = (7, 2)
Thus,
The coordinates of Y will be (7, 2)
Option B is the correct answer.
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27. Two sisters are 7 years apart in age. The product of their ages is 260 years. What is the age of the older sister.
a. 14 years
b. 21 years
C. 13 years
d. 20 years.
What is 4/9 rounded to it's closest estimate
Answer:
1/2
Step-by-step explanation:
4/9 is .444
1/2 is .5
1/3 is .3333
4/9 is closer to being 1/2 than 1/3
Answer:
0.4
Step-by-step explanation:
[tex]\frac{4}{9}[/tex] ≈ 0.4
A plumber uses the expression 48 + 25h to determine the number of dollars to charge each customer. If h= 2.5, how much does the customer pay
Answer:
$110.5
Step-by-step explanation:
48 + 25(2.5)
48 + 62.5
=110.2
Answer:
The answer is 110.5
Step-by-step explanation:
48+25(2.5)=110.5
By the Exterior Angle Theorem, which of the following is a true statement?
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex]m \angle 1 > m \angle 3 \: \& \: m \angle 1 > m \angle 7 \\ [/tex]
According to the Exterior Angle Theorem, the true statement should be considered as the option b.
What is an Exterior Angle Theorem?The exterior angle theorem defined that at the time when a triangle's side should be extended, the resultant exterior angle formed should be equivalent to the sum of the measures of the two opposite interior angles of the triangle.
So based on this, we can say that the option b is correct.
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qustion to give kagimatoby a brainly
Answer:
wdym
Step-by-step explanation:
What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1.5, 3.5)?
Answer:
y=x+5
Step-by-step explanation:
y-y1=m(x-x1)
y=-x+2
slope of y=-x+2 is -1, perpendicular slope is 1
y-3.5=1(x-(-1.5))
y-3.5=x+1.5
y=x+5
eighteen individuals who use a particular form of social media were assigned a new user interface to use when logging into their accounts. after using the new user interface for a week, each individual was asked to rate how easy or hard the new user interface was to use on a scale from 1 (extremely easy) to 9 (extremely hard). which of the following correctly identifies why this is not a well designed experiment?
A. There was a lack of control because not all individuals in the study used login passwords of the same length
B. The individuals may not have been randomly selected
C. There was not enough replication because the individuals used the new user interface for only one week.
D. there was a lack of control because not all individuals in the study use social media
E. the study was not comparative- only one treatment was used.
Answer:
E: The study was not comparative—only one treatment was used.
Step-by-step explanation:
Well-designed experiments should involve comparisons of at least two treatment groups, one of which could be a control group.
A well-designed experiment investigates design features that achieve the research to rule out sources of variation as reasons for the observed relationship between both the independent variable(s) and the predictor variables.
Studies that are well should include a comparison of at least two treatments, one of which may be a controlled study.Eighteen people using a specific type of social media are given a different user interface to utilize when login onto their account. After a day of just using the new user interface, each participant was asked to rate as difficult or easy it was to use the new interface on a scale of 1 to 9.The study was not properly comparative since it identified just one treatment that was not used as the well-designed study.Therefore, the final answer is "Option E".
Learn more:
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A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probalbility, to the nearest 1oth of a percent, that
all three marbles drawn will be green?
Answer:
I don't understand the question.
Step-by-step explanation:
Answer:
Frequency and period are distinctly different, yet related, quantities. Frequency refers to how often something happens. Period refers to the time it takes something to happen. Frequency is a rate quantity.
Step-by-step explanation:
Geometry question number 21
Step-by-step explanation:
1st) Distribute 8 with x and 8 with -1 which will give you
8x-8=5x-35
2nd) Use opposite operation and add 8 both sides
8x-8=5x-35
+8 +8
---------------
8x=5x-27
3rd) subtract 5x from both sides
8x=5x-27
-5x= -5x
_______
3x=-27
4th) Divide 3 from both sides so -27 by 3
3x=-27
_ _
3 3
ANSWER X=-9
HELP NOW !!!!!!!! solve ∣x − 6∣= 2
Answer:
x=8
Step-by-step explanation:
<3
Answer:
{8,4} can you mark as brainliest
A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that the two balls are black and red?
Answer:
[tex]Probability = \frac{1}{5}[/tex] or [tex]Probability = 0.2[/tex]
Step-by-step explanation:
Given
[tex]Black = 25[/tex]
[tex]White = 35[/tex]
[tex]Red = 40[/tex]
Required
Determine the probability of selecting Black and Red
First, we need to calculate the number of red and black balls
The probability is calculated as thus:
[tex]Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)[/tex]
Convert to mathematical expressions
[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex]
Solve for each probaility;
[tex]P(Black) = \frac{Black}{Total} = \frac{25}{100}[/tex]
[tex]P(Red) = \frac{Red}{Total} = \frac{40}{100}[/tex]
So, we have:
[tex]Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)][/tex][tex]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}][/tex]
[tex]Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}][/tex]
[tex]Probability = [\frac{1}{10}] + [\frac{1}{10}][/tex]
[tex]Probability = \frac{1+1}{10}[/tex]
[tex]Probability = \frac{2}{10}[/tex]
[tex]Probability = \frac{1}{5}[/tex]
or
[tex]Probability = 0.2[/tex]
Help!
1. What is the slope of PA?
2. What is the slope of line N?
Which expression is equivalent to 16a -18b + 20a
A.(16 + 20)a + 18b
B.(16 + 20)a - 18b
C.(16 - 20)a + 18b
D. 16a - (20a + 18b)
Express the recurring decimal 0.142 as a fraction in its simplest form
Answer:
[tex]\frac{47}{330}[/tex]
Step-by-step explanation:
We require to create 2 equations with the recurring part (42) placed after the decimal point.
let x = 0.14242 ( multiply both sides by 10 and 1000 )
10x = 1.4242... → (1)
1000x = 142.4242... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
990x = 141 ( divide both sides by 990 )
x = [tex]\frac{141}{990}[/tex] = [tex]\frac{47}{330}[/tex]
The fractional form of the recurring decimal 0.142 is 47/330.
What is a recurring decimal?A number whose digits are periodic and the indefinitely repeated component is not zero is represented as a repeating decimal or recurring decimal. If and only if a number's decimal representation repeats or terminates, it is possible to demonstrate that the number is rational.
Given, A recurring decimal 0.142 where 4 and 2 are repeating.
In the denominator, we'll write as many 9's as there are recurring digits after the decimal and after as many zeros as there are digits after the decimal which are not repeating, and in the numerator, we'll subtract the nonrecurring digits from the total digits after the decimal.
Therefore, 0.142 where 4 and 2 are repeating can be written in fraction form as,
(142 - 1)/990.
= 141/990.
= 47/330.
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Which statement about these triangles is true?
Answer:
It's the last one
I hoped that helped
what is 7/9 - 1/3 simplified
Answer:
4/9 is the answer
Step-by-step explanation:
you're welcome
