The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535
What is the Probability in Normal Distribution?
We are given;
Sample size; n = 50
Standard deviation; σ = 0.5
Mean; μ = 2
The formula to find the z-score for each sample mean is;
z = (x' - μ)/(σ/√n)
Thus, for x' = 1.8, we have;
z = (1.8 - 2)/(0.5/√50)
z = -2.83
For x' = 2.2, we have;
z = (2.2 - 2)/(0.5/√50)
z = 2.83
Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;
P(-2.83 < Z < 2.83) = 0.99535
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You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.
a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)
b) How much will you need to deposit each month until retirement to achieve your retirement goals?
c) How much did you deposit into you retirement account?
d) How much did you receive in payments during retirement?
e) How much of the money you received was interest?
Answer:
use calculator
Step-by-step explanation:
here are vaccinations for all of the following except __________
Question 10 options:
hepatitis C.
chicken pox.
tuberculosis.
mumps.
Answer:
Hepatitis C.
Step-by-step explanation:
Help help math straightforward answer ASAP pelsss thanks
Answer:
55 degrees
Step-by-step explanation:
a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.
A bakery charges 15 for delivery plus 3 per cupcake. Let C represents the number of cupcakes. Which expression can be used to find the cost of a number of cupcakes, including the delivery?
A. 15c+3
B. 15c
C. 3c+15
D, 12c
Answer:
The answer is A.15c+3
Step-by-step explanation:
CAN YOU GUYS HELP PLEASE, I HAVE A LIMIT ON THIS!!!!
Answer:
the 2nd choice
Step-by-step explanation:
hope this helps
may i get braineist pls
Answer:
A. or y=-1/3x-3
Step-by-step explanation:
IF YOU GET THIS RIGHT YOU GET BRAINLIEST
Tasha has a collection of trading cards. the collection contains 70 cards. she gives 25 of her cards to her friend brad. she gives 10% of her cards to her nephew, she sells 25 cards online. how many cards remain in Tasha's trading card collection
Answer:
13
Step-by-step explanation:
25 x 2 = 50. 10% of 70 equals 7. 50 + 7 = 57. 70 - 57 = 13.
Cards given to her friend brad + cards sold online = cards givin
25+25=50
Amount of cards + cards givin = amount left
70-50=20
10% of 20=2
20-2=18
Tasha has 18 left
Hope this helps
which expression are of -48xyz+24xy+40xyz
A4
B24
C3X
D8Y
E2XY
F6XY
GXYZ
Answer:
I'm GUESSING you want to know which are possible FACTORS of the equation. - 48xyz + 24xy + 40xyz
IF so,
THEN
A) 4 as 48, 24, and 40 divide evenly by 4
4(-12xyz + 6xy + 10xyz)
D) 8Y as 48, 24, and 40 divide evenly by 8 and each term has a Y
8y(-6xz + 3x + 5xz)
E) 2XY as 48, 24, and 40 divide evenly by 2 and each term has a XY
2xy(-24z + 12 + 20z)
Suppose that sin a= 15/17 and 90 degrees
Question
Each data point on the scatter plot represents last month’s necklace and earring sales, in thousands of dollars, at one of the fourteen locations in a nationwide jewelry store chain. The correlation coefficient between necklace sales and earring sales is 0.98.
Wes says that an increase in necklace sales must cause an increase in earring sales. Ann says that an increase in earring sales must cause an increase in necklace sales. Who is correct?
Answer:
Wes
Step-by-step explanation:
This represents a positive correlation, meaning that when x increases, so does y. Because of x, y increases meaning that Wes is correct
need help with this problem
Answer:
x = 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
tan30 = x/12
x = 12tan30
x = 12(sin30/cos30)
x = 12(½ / ½√3)
x = 12/√3
x = (12/3)√3
x = 4√3
6. Gloria has 7 yellow pencils. She has 9 red pencils. Which strategy
would NOT help you find 9 -
- 7?
A Make 10
(B
Think Addition
Count to Subtract
My Way
The strategy that won't help her to calculate 9 - 7 is (a) Make 10
The given parameters are:
[tex]Yellow = 7[/tex]
[tex]Red = 9[/tex]
To determine 9 - 7,
She can use addition, as in 9 + (-7)She can subtract directly by countingHowever, she cannot make 10.
This is so, because 9 and 7 are not up to 10
Hence, the strategy that won't help her to calculate 9 - 7 is (a)
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pls help me anymore pls
Answer:
thanks for the points again
Step-by-step explanation:
,(TT(TT)(TT)(TT)(TT)(TT)(TT
Need help with the answer
Answer:
C
Step-by-step explanation:
The slope is: (y2 - y1) ÷ (x2-x1)
In this question y2 is 5, y1 is 8, x2 is 0, and x1 is -3.
5-8=-3
0-(-3)=3
-3 ÷ 3 = -1
the slope is negative 1
1x10,000 + 6x1,000 + 3x100+ 7x10 + 8x 1/10 + 9/100 in a standed form
a- 163,789
b- 163,700.89
c- 16,378.9
d- 1,637.89
e- 16,370.89
Answer:
C
Step-by-step explanation:
because write in standard form hope it helps to you
E=4i+3j A=5i finfd E.A=EAcos
Answer:
theta = 36.87
Step-by-step explanation:
E.A= (4i+3j).5i= 20
|E| |A| =
[tex] | e| |a| = \sqrt{4 ^{2} + {3}^{2} } \times 5 = 25[/tex]
[tex] \cos(theta) = \frac{e.a}{ |e ||a | } = \frac{20}{25} = \frac{4}{5} \\ theta = \cos ^{ - 1} ( {.8} ) = 36.87 [/tex]
Question
A triangle with area 40 square inches has a height that is four less than six times the width. Find the width and height of the
triangle
Answer:
width is 4
height is 20
Step-by-step explanation:
Area=½ width × height
let the width be x
height will be 6x - 4
40 = ½ × x × (6x - 4)
40 = 2/2 × 3x² - 2x
40 = 3x² - 2x
3x² - 2x - 40 = 0
3x² -12x + 10x - 40 = 0
3x(x-4) + 10(x-4) = 0
(3x + 10)(x - 4) = 0
x = -10/3 or 4
dimension cannot be negative
x is 4
6x-4= 6(4) - 4
24 - 4
20
Please help me solve this
BA=(3),(3),(-1) is the answer
PLS HELPPPPPPPPPPPPPPPP!!!!!!!!!!!
You are playing a game where you flip 3 coins, if you get all tails you lose $15, for each heads you get $3. What is your expected profit from this game?
Answer:
expected profit=$-3
Step-by-step explanation:
1 tail=-5
1 head=3
3/2=1.5
1.5*3=4.5
1.5*-5=-7.5
4.5-7.5=-3
$-3
factorise
18p+6
please im so bad
Help help help help please business
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
[tex]2x+20=3x-15[/tex]
Then, just solve for x:
[tex]20=x-15\\35=x\\x=35[/tex]
You can check that by plugging it back into both:
[tex]2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90[/tex]
Answer:
x = 35
Step-by-step explanation:
The angles shown are corresponding angles
Corresponding angles are congruent ( equal to each other )
This means that 2x + 20 should equal 3x - 15
Note that we've just created an equation that we can use to solve for x
We know use that equation to solve for x
2x + 20 = 3x - 15
add 15 to both sides
2x + 35 = 3x
subtract 2x from both sides
35 = x
And we are done!
Hello can anyone help me with these problems please and thank you
Answer:
94)=154°
95)=40°
96)=11
97)=11
98)=9
Identify the digit in the ten thousandths place in every number.
1.) 12.00535
2.)54.01247
3.) 3.98056
4.) 0.00667
5.) 70.70071
6.) 0.07889
7.) 10.00898
Answer:
Step-by-step explanation:
The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.
Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.
Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths
So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.
1) 3
2) 4
3) 5
4) 6
5) 7
6) 8
7) 9
For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.
Find the future value of 1000 at 7 % interest compounded annually for 10 years.
Answer:
1967.15
Step-by-step explanation:
1000 x 1.07^10 = 1967.15
The future value of 1000 with annual compounding for 10 years is $1967.15.
The formula for calculating with annual compounding is:
FV = P (1 + r)^n
FV = Future value P = the amount deposited R = interest rate N = number of years1000 x (1.07)^10 = $1967.15
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A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
represented by the inequality 2d<-40, where d is the current depth of the hole.
Select from the drop-down to correctly interpret the solution of this inequality.
The current depth of the hole is Choose.
feet below ground level
The current depth of the hole is at least 20 feet below ground level.
Inequality is an expression that shows the non equal comparison of numbers and variables.
Let d represent the current depth of the hole.
To be at least 40 feet below ground level, he need more than 2 times its current depth.
2d < -40
d < -20
Hence the current depth of the hole is at least 20 feet below ground level.
Find out more on inequalities at: https://brainly.com/question/11613554
Answer:
20 feet below
Step-by-step explanation:
given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH
Given the perimeter of the parallelogram in the image below is 60, the value of GH will be: 23.
Recall:
Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.Opposite sides of a parallelogram are equal.Given the parallelogram as shown in the diagram below, where:
base (b) = EF = 5x + 18
side (a) = HE = 3x + 4
Perimeter = 60
Plug in the values into the formula:
60 = 2[(3x + 4) + (5x + 18)]
60 = 2[3x + 4 + 5x + 18]
60 = 2[8x + 22]
60 = 16x + 44
60 - 44 = 16x
16 = 16x
1 = x
x = 1
GH = EF = 5x + 18 (equal opposite sides of parallelogram)
GH = 5x + 18
Plug in the value of xGH = 5(1) + 18
GH = 23
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SOMEONE PLS HELP ME WITH GEOMETRY: what triangle is congruent to ABC?
Answer:
MLK :)
Step-by-step explanation:
Congruent means identical shape.
Answer:
D. KLM
Step-by-step explanation:
Ashleigh went to Cape Canaveral to watch the space shuttle take off. The solid rocket boosters are ejected after the shuttle passes through the threshold of space. This is scheduled to occur when the shuttle reaches a height of 354,200 feet. If Ashleigh is 10 miles from the launchpad, what will be the angle of elevation she has to look up to see the boosters ejected?
Find the missing side in the similar figures below
Answer:
e
Step-by-step explanation:
24*5/3=40
The slope of line
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1
Answer:
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1