Answer:
The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
Step-by-step explanation:
The data provided is as follows:
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Compute the mean and standard deviation for the group "25 to 34" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01[/tex]
Compute the z-score for the group "25 to 34" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37[/tex]
Compute the mean and standard deviation for the group "45 to 54" as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39[/tex]
Compute the z-score for the group "45 to 54" as follows:
[tex]z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25[/tex]
Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.
Can you help me with my homework question?
What is the quotient? 3/7 divided by 2/3
Answer:
3/7 divided by 2/3 is 9/14
Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.
Answer:
[tex]\frac{1}{5} x-4[/tex]
Step-by-step explanation:
I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point
Answer:
y = 1/5x - 4
Step-by-step explanation:
y = mx + b
simply plug in the slope,
y = 1/5x + b
now put in the cooridinates for b,
-3 = 1/5 ( 5) + b
now solve for b,
-3 - 1 = b
-4 = b
now put -4 into the equation,
y = 1/5x - 4
What is the slope of the line on the graph?
Answer:
[tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find slope m:
(0, 2)
(-4, 0)
[tex]m=\frac{2-0}{0-(-4)}[/tex]
[tex]m=\frac{2}{0+4}[/tex]
[tex]m=\frac{2}{4}[/tex]
[tex]m=\frac{1}{2}[/tex]
18/7 divided by 6/9 and how to get there
Answer:
27/7 or 3 6/7
Step-by-step explanation:
18/7 ÷ 6/9
~Copy dot flip
18/7 × 9/6
~Multiply both numerators and denominators
162/42
~Simplify
27/7 or 3 6/7
Best of Luck!
what is 1423 divided bye 789
Answer:
1.8
Step-by-step explanation:
Answer:
use calculator
Step-by-step explanation:
search calculator on google
using logarithms table, evaluate
4.962-√4.779
Answer:
3.404
Step-by-step explanation:
Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the value of b and c. If (y+2) is a factor of the expression, find the value of d
The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.
We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have
p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R
==> R = -2 + b + c + d
p(2) = 2(2)³ + b(2)² - c(2) + d = R
==> R = 16 + 4b - 2c + d
p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R
==> R = 1/4 + b/4 - c/2 + d
We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so
p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0
==> 0 = -16 + 4b + 2c + d
Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :
(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R
-18 - 3b + 3c = 0
b - c = -6
(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R
-9/4 + 3b/4 + 3c/2 = 0
b + 2c = 3
(b - c) - (b + 2c) = -6 - 3
-3c = -9
c = 3
b - 3 = -6
b = -3
-16 + 4(-3) + 2(3) + d = 0
d = 22
Jessica qent for a drive in a new car. She drove 204.8 miles in 4 hours. What was her speed
Answer:
Her speed was 51 mph per hour
Answer:
51.2 mph per hour
Step-by-step explanation:
Which equation could be used to generate the following table?
x y
-2 7
-1 6
0 5
1 4
2 3
a
y = -x + 5
b
y = x + 5
c
y = 5x - 1
d
y = -x - 5
Answer:
ur welcome
Step-by-step explanation:
x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done
Find H, help me and get brainlist.
Answer:
it is 19
Step-by-step explanation:
Bre works 12 hour shifts 3 days a week and makes $25.64 per hour. How much does Bre make in 1 week?
Answer:
923.04 $
Step-by-step explanation:
1 hour: 25.64 $
36 hour: x
x=36×25.64
x=923.04$
Answer:
Bre makes $923.04 in one week.
Step-by-step explanation:
First you have to multiply the 12 hours and the $25.64
25.64x12=307.68 Then if that equals $307.68 then Bre makes $307.68
in on day so then you take $307.68 and multiply it with the 3 days
307.68x3=923.04 So that equals $923.04 then Bre makes $923.04
a week. For (maybe) an easier way to figure this out you can just multiply
12 and 3 first 12x3=36 then you can multiply $25.64 and 36. 25.64x36=923.04 and you will still get the same answer.
Hope this helps:).
Have a nice day:).
Plz mark me brainliest:).
P.S. What kind of job is Bre working that she make almost a thousand dollars
in three days lol.
Which relation represents a function? {(0, 3), (2, 4), (0, 6)} {( - 7, 5), ( - 7, 1) ( - 10, 3), ( - 4, 3)} {( 2,0), (6, 2), (2, -2)} {( - 6, 5), ( - 3, 2), (1, 2), (6, 5)}
Answer:
is it none of the above
Step-by-step explanation:
What is the equation of the line in slope-intercept form? the line perpendicular to y = x + 2 through (-7, -8)
Answer:
[tex]y=-x-15[/tex]
Step-by-step explanation:
Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.
You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.
The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:
[tex]m=-\frac{1}{1} =-1[/tex]Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").
Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.
[tex]y-(-8)=-1(x-(-7))[/tex]Simplify this equation.
[tex]y+8=-1(x+7)[/tex]Distribute -1 inside the parentheses.
[tex]y+8=-x-7[/tex]Subtract 8 from both sides of the equation.
[tex]y=-x-15[/tex]This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.
PLEASE HELP MEEEEEEE I NEED THIS QUICK
Which of the following best defines the two quantities that are measured to find the call rate of a phone company? (5 points)
Group of answer choices
The quantity of price measured in dollars depends on the quantity of time measured in minutes.
The quantity of time measured in minutes depends on the quantity of price measured in dollars.
The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute.
The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.
Answer:
A: The quantity of the price would be measured in dollars depends on the quantity of time measured in minutes.
Step-by-step explanation:
A seemed like the best answer to me. I hope I helped
How much of the circle is shaded? Write your answer as a fraction in simplest form.
Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make
Answer:
6
Step-by-step explanation:
18/3=6
Let f(x) = 6x^2 +5 and g(x) = 3x - 5. Find g(f(0)).
Answer:
The answer is 10.
Step-by-step explanation:
f(x) = 6* x^2 + 5
f(0) = 6*0^2 + 5 = 5
g(x) = 3x - 5
g(f(x)) = 3 * (f(x)) - 5
g(f(0)) = 3 * 5 - 5 = 10
4/6 x 2/3 =
Help me please I’m stuck on this
Answer:
4/9 or 0.4
Step-by-step explanation:
What is the ratio of 11 inches to 3 feet? (Change the feet to inches.) Group of answer choices
11:36
36:11
3:11
11:3
Answer:
The first option (11:36)
Step-by-step explanation:
When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.
We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:
11 : 36
(Can also be shown as 11 - 36)
1 Foot = 12 inches
3 feet x 12 = 36 inches.
Ratio = 11:36
The figure shows a pair of parallel line segments on a coordinate grid: the line segments are translated 2 units to the left to form J’K and M’N. Which statement describes J’K and M’N
Answer:
J
Step-by-step explanation:
Answer:
Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.
Step-by-step explanation:
If the line segments are translated 2 units to the left, then JK will start at (1, -1) and go to (5, -1), and MN will start at (1, -2) and to to (5, -2). So the line segments remain parallel and the same distance apart.
Help please!!
Find the equation of a line perpendicular to 5x - 3y = - 2 that contains the point (-4,5). Write the equation in slope
intercept form
Answer:
Step-by-step explanation:
y=−3/5x+13/5
I WILL GIVE BRAINLIEST
All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.
Answer:
132
Step-by-step explanation:
Answer:
{-1, 0, 3, 4}.
Step-by-step explanation:
sorry if this is incorrect
Refer to Table 9.2. (Data are expressed in billions of dollars).
Full Employment Income (Output) Consumers Desire to Spend Investors Desire to Spend Total Private Spending Total Saving
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
If the full-employment level of income (YF) in Table 9.2 is $800 billion
A. There is a recessionary gap of $25 billion.
B. The economy is in equilibrium.
C. There is an inflationary gap of $250 billion.
D. There is a recessionary gap of $275 billion.
Answer:
A)There is a recessionary gap of $25 billion.
Step-by-step explanation:
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
Total Private spending = Consumers desire to spend + Investors desire to spend
Total savings = Income - Total private spending
Using these formulas :
Solution Table
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 550 -50
600 375 250 625 -25
700 450 250 700 0
800 525 250 775 25
If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25
So, Option A is true .
Help me out 3 i need some help :(
Answer:
The first one
Step-by-step explanation:
Since only the first session is $10, it wouldn't be 10x.
The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.
So the answer is y = 10 + 5x
(sorry if i didnt explain well)
Please help as soon as u see this!
Answer:
c, or 8
Step-by-step explanation:
Answer:
D
It would be either C or D because anything greater than 5, you move the next number up 1 digit.
Step-by-step explanation:
Name the relationship
Answer:
A vertical angle!
Step-by-step explanation:
Vertical angles sit across from each other.
Answer:
Its definitely a sexual relationship I would say
(Only the tips tho)
8sin(8x)+9=3
Need solutions
Answer:
Simplifying
8sin(8x) + 9 = 3
Remove parenthesis around (8x)
8ins * 8x + 9 = 3
Reorder the terms for easier multiplication:
8 * 8ins * x + 9 = 3
Multiply 8 * 8
64ins * x + 9 = 3
Multiply ins * x
64insx + 9 = 3
Reorder the terms:
9 + 64insx = 3
Solving
9 + 64insx = 3
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 64insx = 3 + -9
Combine like terms: 9 + -9 = 0
0 + 64insx = 3 + -9
64insx = 3 + -9
Combine like terms: 3 + -9 = -6
64insx = -6
Divide each side by '64nsx'.
i = -0.09375n-1s-1x-1
Simplifying
i = -0.09375n-1s-1x-1
Step-by-step explanation:
If this helps please give brainliest:)
Imma just leave this here imma do brainlyest
Answer: The can of Coke i would say because it cost least unless by best buy they mean higher price then the pepsi!
~ Zachary
6) What is the mystery number?
The mystery number has ...
• 9 in the Ones place.
8 in the Millions place.
4 in the Hundred Thousands place.
3 in the Hundreds place.
3 in the Thousands place.
3 in the Tens place.
O in the Ten Thousands place.
Answer:
8,403,339
Step-by-step explanation: