One of the ten bills
A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
Answer:
P(x< 18) = 0.986
Step-by-step explanation:
Step 1: find the z-score using the formula, z = (x - µ)/σ
Where,
x = randomly chosen values = 18
µ = mean = 7
σ = standard deviation = 5
Proportion of the population that is less than 18 = P(x < 18)
Plug in the values into z = (x - µ)/σ, to get z-score.
z = (18 - 7)/5
z = 11/5 = 2.2
Step 2: Find P(x< 18) = P (z<2.2) using z-table.
The probability that corresponds with z-score calculated is 0.986.
Therefore,
P(x< 18) = 0.986
diride 660cm in the ratio of 5:6
Answer:
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Step-by-step explanation:
Equations
We are required to divide 660 cm in the ratio 5:6, or 5/6.
Let's call:
x = first part of 660
660 - x = second part of 660
The ratio between them is 5/6.
[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]
The above equation will result in x as the smaller part of 660.
Multiply by (660-x)*6 to eliminate denominators:
[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]
Operating:
[tex]6x=(660-x)*5[/tex]
[tex]6x=3300-5x[/tex]
Simplifying:
[tex]6x+5x=3300[/tex]
[tex]11x=3300[/tex]
Solving:
[tex]\displaystyle x=\frac{3300}{11}=300[/tex]
The other part is 660 - 300 = 360
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Helpp thanksssss........
Answer:
4/10
Step-by-step explanation:
4/5 ÷ 2/1
4/5 * 1/2
2/5 or 4/10
12 apples to 8 oranges
miles say that, when a is any integer greater than 0, the value of a^-3 is always less than -a^3 because the exponent in a^-3 is less than the exponent in -a^3. is miles reasoning correct?
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. When each data class has the same frequency, the distribution is symmetric. Choose the correct answer below.
a. The statement is true.
b. The statement is false. When each data class has the same frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same frequency, the distribution is skewed right.
Answer:
A; the statement is true
Step-by-step explanation:
In this question, we are to select which of the options is correct according to the initial statement.
The statement is true.
If the data classes have same frequency, then the distribution is said to be symmetrical in nature.
What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.
guys what is 265 divided by 53
Answer:
5
Step-by-step explanation:
265/53= 5
Answer:
265÷53=5
Step-by-step explanation:
just get a calculator
I just need some one to explain how to do it ,
Answer:
f(x) = (x^2-16) / (x+3)
f(x) has no horizontal asymptote.
Vertical assymptote is x = -3
Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.
the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.
the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1
the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line
Step-by-step explanation:
Hope this helps! brainliest please
Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)
Answer:
-10
-20
-26
48
40
-2
Step-by-step explanation:
I used a calculator to make sure
What’s the y intercept
Answer:
y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Write an equation in point-slope form for the line that is parallel to y = 3/4x -
3 and passes through point (4,3).
Answer:
The point-slope form of the equation of the parallel line is y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe point-slope form is of the linear equation is y - y1 = m(x - x1), where
m is the slope(x1, y1) are the coordinates of a point lies on the line∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3
→ Compare it with the first form of the equation above
∴ m = [tex]\frac{3}{4}[/tex]
∴ The slope of it is [tex]\frac{3}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line is [tex]\frac{3}{4}[/tex]
∵ The point-slope form is y - y1 = m(x - x1)
→ Substitute the value of the slope in the form of the equation above
∴ y - y1 = [tex]\frac{3}{4}[/tex] (x - x1)
∵ The line passes through the point (4, 3)
∴ x1 = 4 and y1 = 3
→ Substitute them in the equation above
∴ y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
∴ The point-slope form of the equation of the parallel line is
y - 3 = [tex]\frac{3}{4}[/tex] (x - 4)
What is the y intercept of the line in the graph shown?
The equation of the line is y=__x__
!! QUICK WILL MARK BRAINLIEST !!
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are:
Answer:
The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are different.
Step-by-step explanation:
An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.
The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.
In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis
The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q restrictions at once.
The homoskedasticity-only F-statistic is important historically (and also in practice), and can help intuition, but isn’t valid when there is heteroskedasticity
- 1 1/5 as improper fraction
The given - 1 1/5 expressed as improper fraction can be written as - [tex]\frac{6}{5}[/tex]
An improper fraction can be regarded as fraction whereby, the numerator is greater compare to the denominator.The numerator can regarded as the number that is on top, The denominator can regarded as the number that is at down.we were given [tex]\frac{1}{5}[/tex]-1 /5 so to express this as improper fraction, we multiply the whole number with the denominator then add to the numerator then we have
[tex]\frac{-6}{5}[/tex]-
Therefore, the improper fraction of the given figure is [tex]\frac{-6}{5}[/tex]
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I don't understand with this question, can you help me with this pls?
Answer:
By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.
Step-by-step explanation:
f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))
Answer:
f(g(x))=6x-8
Step-by-step explanation:
To keep it simple lets say if , for example
[tex]f(x)=2x-4[/tex]
then f(2) would be what?
[tex]f(2)=2(2)-4\\f(2)=0[/tex]
which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you
[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]
now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).
[tex]f(g(x))=-2(-3x+2)-4[/tex]
[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]
so that is our final answer.
Hope i helped
The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?
Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
Is the answer x=6????
Answer:
x=12
Step-by-step explanation:
5x-2 = 58
5x = 60
x = 12
The listed occupations of stockholders of a national computer company included 9% who were housewives. If six of these stockholders are randomly selected, what is the probability that none are housewives?
Answer:
no se la respuesta
Step-by-step explanation:
no se la respuesta
The probability that none of the six selected stockholders are housewives is,
⇒ 56.8%
The term probability refers to the likelihood of an event occurring. Probability means possibility.
The probability of an event occurring can be calculated by subtracting the probability of the event not occurring from 1.
Given that,
The listed occupations of stockholders of a national computer company included 9% who were housewives.
Since 9% of the stockholders are housewives.
Hence, the probability that a randomly selected stockholder is not a housewife is,
= [tex]1 - 9%[/tex]%
= [tex]1 - 0.09[/tex]
= [tex]0.91[/tex]
So, The probability that none of the six selected stockholders are housewives is,
⇒ [tex](0.91)^6[/tex]
⇒ [tex]0.5678[/tex]
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The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2
Step-by-step explanation:
Hey there!
The given points are; (2,2) and (5,y).
Slope (m) =2
Using formula for slope, we get;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]2 = \frac{y - 2}{5 - 2} [/tex]
Simplify it to get value of"y".
[tex]2 = \frac{y - 2}{3} [/tex]
[tex]6 = y - 2[/tex]
[tex]y = 6 + 2[/tex]
Therefore, y= 8.
Hope it helps...
Can anyone solve this for me. Thanks
Answer:
y=-1/3x+3
Step-by-step explanation:
What is the distance from the origin to point P graphed on the complex plane below?
Evaluate the expression when b= 2.
12 - b =
Answer:
Well, if b = 2, then 12 - b = 10
Step-by-step explanation:
hope this helps, lol! <3
Lucy, charlie, and Michael have a total of $95 in their wallet. Charlie has $10 more than lucy. Michael has 3 times what Lucy has. How much does each have?
For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b
Answer: b
Step-by-step explanation:
Is .09 greater then .0003
Answer:
Yes
Step-by-step explanation:
For ease, let's multiply these by 10,000.
0.09 • 10,000 = 900.00 = 900
0.0003 • 10,000 = 3.00 = 3
900 is clearly greater than 3. Therefore, 0.09 is greater than 0.0003.
How do you describe a quadratic equation?
Answer:
an equation of the second degree, meaning it contains at least one term that is squared.
Step-by-step explanation:
A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
The required equivalent fractions for 3 10/15 and 1 12/15.
Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15
Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15
Thus, the required equivalent fractions for 3 10/15 and 1 12/15.
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Assuming part a is correct, how do you do b and c?
Step-by-step explanation:
B. Yes, we are 99% confident that the population mean is within the interval.
C. Yes, 225 is below the interval minimum, so it is reasonable to conclude the average cholesterol level is greater than 225 mg/dl.
D. No. Increasing the sample size would decrease the margin of error, so the ends of the interval would move closer to the sample mean of 251.9. So the interval minimum would still be higher than 225.