Answer:
Approximately 68%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1, standard deviation = 0.05.
Estimate the percent of pails with volumes between 0.95 gallons and 1.05 gallons.
0.95 = 1 - 0.05
1.05 = 1 + 0.05
So within 1 standard deviation of the mean, which by the Empirical Rule, is approximately 68% of values.
68.29% of pails have volumes between 0.95 gallons and 1.05 gallons.
Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \sigma=standard\ deviation[/tex]
Given that:
μ = 1, σ = 0.05
[tex]For\ x=0.95:\\\\z=\frac{0.95-1}{0.05} =-1\\\\For\ x=1.05:\\\\z=\frac{1.05-1}{0.05} =1[/tex]
P(0.95 < x < 1.05) = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 68.29%
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4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?
Answer:
I believe about 30.8%
What are the values for q that will make the equation true |4q+12|=4
Hi there! Solving the absolute value equation is like solving a quadratic equation.
[tex] \large{ |x| = a \longrightarrow x = \pm a}[/tex]
[tex] \large{ |x| = \begin{cases} x \: \: \: (x \geqslant 0) \\ - x \: \: \: (x < 0) \end{cases}}[/tex]
From the absolute equation:
[tex] \large{ |4q + 12| = 4}[/tex]
Cancel the absolute symbol and write plus-minus of 4.
[tex] \large{4q + 12 = \pm 4}[/tex]
Solve the equation for q-term.
[tex] \large{4q = \begin{cases} 4 - 12 \\ - 4 - 12 \end{cases}} \\ \large{4q = \begin{cases} - 8 \\ - 16 \end{cases}} \\ \large{q = \begin{cases} - \frac{8}{4} \\ - \frac{16}{4} \end{cases}} \\ \large{q = \begin{cases} - 2 \\ - 4 \end{cases}}[/tex]
Hence, the value of q are -2,-4
Answer
q = -2,-4For a certain class, the ratio of the number of female students to the total number of students is 2 to 5. If
there are 35 students in the class, how many are female students?
9514 1404 393
Answer:
14
Step-by-step explanation:
If 2/5 of the 35 students are female, their number is ...
(2/5)(35) = 14
There are 14 female students.
You are jumping rope at a rate of 15 jumps every 24 seconds. At this rate, how long will it take you to jump 90 times?
Answer:
144 seconds
Step-by-step explanation:
divide 90 by 15 to get 6
if you are jumping in sets of 15, that means you need to jump 6 sets to get to a total of 90 jumps total. if every set of 15 jumps takes 24 seconds that means that 6 sets will take 144 seconds. 6 x 24 = 144
What should be done to solve the following equation? d - 5 = 3
Answer:
d=8
Step-by-step explanation:
Firstly you need to get d by itself. To get d by itself you need to get 5 onto the other side. To do that you need to add 5 to 3 (because adding is the opposite of addition). Therefore you will get 8! So d = 8
Answer:
add 5 both sides making it
d=5+3
solve 5+3
=8
d=8!!!4,947 ÷ 6. with reminder
Answer:
824.5
Step-by-step explanation:
PLEASE HELP!!!
You buy a car thats $11,800. The expected depreciation of the car is 35% per year.
Part A- what is the car worth each year it depreciates from the previous year?
Part B - Find the depreciated value of the car after 6 years.
YOU CAN ANSWER EITHER. BOTH WOULD BE NICE. PLEASE HELP.
Answer:
Part a- after one year of depreciation the car would value $7475
part b: the car would be worth $-12650
Step-by-step explanation:
not sure if its correct but that's what I got
g The bursar a conducts a test of hypothesis that the mean amount of student debt a WCU undergrad will leave college with is equal to $10,000, versus the alternative that it is less than $10,000. The data leads to the rejection the null hypothesis. However, it is learned later that the mean is indeed $10,000. What type of error (if any) occurred
Answer: Type I error
Step-by-step explanation:
A type 1 error is also referred to as the false positive and it is when a true null hypothesis is incorrectly rejected by the researcher.
On the other hand, type II error which is also refered to as the false-negative is when a null hypothesis which is false is failed to be rejected by the researcher but rather accepted.
Based on the information given in the question, since the data leads to the rejection of the null hypothesis such was later found out to be true, then a type I error has occured.
Find the area of the figure.
7 cm
4 cm
4 cm
10 cm
10 cm
8 cm
19 cm
area cm2
Answer:
3404800
Step-by-step explanation:
7 x 4 x 4 x 10 x 10 x 8 x 19 x 2 = 3404800
Hope this helps!!!
The sides of a square are all increased by 2 inches. The area of the NEW square is 49
inches squared. What is the length of a side of the original square?
A: 4.5 inches
B: 9 inches
C: 5 inches
D: 2 inches
9514 1404 393
Answer:
C: 5 inches
Step-by-step explanation:
The length of the sides of the new square is the square root of the area:
s = √A = √49 = 7
The original square had sides 2 inches shorter, so they were ...
7 in -2 in = 5 in . . . . side length of original square
What are the roots of this quadratic equation?
3x^2 + 10=4x
Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?
Answer:
8.6 years
Step-by-step explanation:
Help
Solve for y in the following equation: (simplify your answer)
y=x+(1/2)
1. x= 1/5
2. x= 1/4
3. x=1/3
Step-by-step explanation:
1) when x= 1/5
y = 1/5 + 1/2
y = 7/10
2) when x= 1/4
y = 1/4 + 1/2
y= 3/4
3) when x= 1/3
y = 1/3 + 1/2
y = 5 /6
Write the expression with your terms. 10x-2x
Answer:
Step-by-step explanation: first you do 10 minus 2 you get 8
120 de metri plus 125 de metri
Answer:
245
Step-by-step explanation:
120+125=245
Find the value of k.
Answer:
k = - 3
Step-by-step explanation:
g(x) is really a disguise of f(x). What you have done is move 3 units down. (Just look at the minimum point of f(x) which is 0,0) The minimum point has gone down to 0,-3
So the value of k must be - 3
PLEASE HELP I DONT KNOW
Answer:
8ft
Step-by-step explanation:
Radius is the half of the diameter, which is 16ft in this circle. So half the diameter will be 16÷2 which is 8ft.
MARK ME BRAINLIEST :)))
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8ft.Because,
r = 1 d
ㅤ 2
r = 1 × 16
ㅤ 2
r = 8 ft.
Thanks Hope it helps.Help me I’ll make you expert !
2. Use the distributive property to write an expression that is equivalent to each
expression. If you get stuck, consider drawing boxes to help organize your work.
a. 9(4x – 3y – 2/3)
b. -2(-6x + 3y - 1)
c. 1/5(20y – 4x – 13)
Answer:
A. 36x-27y-6
B. 12x-6y+2
C. -4x/5 + 4y -13/5
Step-by-step explanation:
Which fraction is equivalent to 1?
One-half
Eight-sixteenths
Eleven-twelfths
Nine-ninths
Answer:
wefwdwddwd
Step-by-step explanation:
Answer:
Step-by-step explanation:
Evaluate each series.
50 points and brainless!
Answer:
Sum of n terms of a GP:
Sₙ = a₁(rⁿ - 1)/(r - 1)#1
a₁ = 5r = 2n = 9S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555Correct choice is C
-----------------------------
#2
a₁ = 12r = 1/2n = 5S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25Correct choice is A
Best shirt design Company can make 1/12 of an order in 1/6 of an hour. How much of the order can the company complete in an hour? Please help!!!
Answer:
The answer to this is equation ½
This is (Worth 10 points)
Answer:
C. Both A and B are solutions to the equation
Step-by-step explanation:
A negative number sqaured is positive.
Answer:
D
Step-by-step explanation:
It is D because the correct awnser is X=4
(12x+5)°=(17x-5)°
Find x=?
Step-by-step explanation:
(12x+5)=(17x-5)
5+5=17x-12x10=5xx=10/3x=2stay safe healthy and happy.Let f(x) = 6x2 − 5 and g(x) = 2x − 1.
Find f · g.
PLEASE HELP ASAP!!!!
Answer:
17=x
Step-by-step explanation:
Put in y and minus 4
Plz this will be brainleist
Answer:
a.
Step-by-step explanation:
-the arrow points to the left which means less than
-the closed/colored in dot means it's greater than or equal to
Select the correct answer from each drop-down menu
The table shows the number of books Lucy borrowed from the library each month for a year
Month Number of Books
Month
Number of Books
January
14
6
February
8
July
August
September
19
March
16
12
April
14
October
May
8
November
7
June
7
December
Lucy bomowed the most books in
There were months in which she borowed fewer than 10 books
Answer:
6 Months where she borrowed less than 10,
and he borrowed the most books in August.
Step-by-step explanation:
HELP PLEASE !!! IXL GEOMETRY
Answer:
WZ = 8.9
Area = 426 cm²
Step-by-step explanation:
sin 25° = x/21
0.4226 x 21 = x
x = 8.87
area = 8.87 x 48 = 426 cm²
Find the area of the shape below
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answer: 2200
Step-by-step explanation:
First we will find the area of the triangle, the formula for that is bh/2
(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.
