Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
State whether the given pair of sets are equal, equivalent, both, or neither. {0,9}; {8, 1)
Answer:
Equivalent
Step-by-step explanation:
A set is a well defined collection of objects.
Two sets are said to be equal if they have the same elements.
Two sets are said to be equivalent if they have the same number of elements.
Given sets are [tex]\{0,9\}\,,\,\{8,1\}[/tex]
These sets are not equal as both the sets have different elements.
Order of both the sets is 2 (number of elements in both sets is 2)
So,
these two sets are equivalent.
Two pools are being filled with water. To start, the first pool had 1850 liters of water and the second pool had 1334 liters of water. Water is being added to the first pool at a rate of 27 liters per minute. Water is being added to the second pool at a rate of 39 liters per minute. (a) For each pool, write an expression for the amount of water in each pool after x months. (b) Write an equation to show when the two pools would have the same amount of water.
Answer:
a)Total amount of water in pool 1 after x minutes = 1850+27x
Total amount of water in pool 2 after x minutes = 1334+39x
b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x
Step-by-step explanation:
First Pool :
Initial amount of water in Pool = 1850 liters
Water is being added to the first pool at a rate of 27 liters per minute.
Amount of water added after x minutes = 27x
So, Total amount of water after x minutes = 1850+27x
Second Pool:
Initial amount of water in Pool = 1334 liters
Water is being added to the first pool at a rate of 39 liters per minute.
Amount of water added after x minutes = 39x
So, Total amount of water after x minutes = 1334+39x
Now to find an equation to show when the two pools would have the same amount of water.
1850+27x= 1334+39x
1850-1334=39x-27x
516=12x
[tex]\frac{516}{12}=x[/tex]
43 =x
Hence
a)Total amount of water in pool 1 after x minutes = 1850+27x
Total amount of water in pool 2 after x minutes = 1334+39x
b) an equation to show when the two pools would have the same amount of water is 1850+27x= 1334+39x
Help me plssss I'm confused
Answer:
The first graph .. I am most likely right.
Step-by-step explanation:
Hope i helped.
What is the slope of the line perpendicular to y = 4x + 2
Answer:
slope is -1/4
Step-by-step explanation:
y = 4 x + 2
Use the equation y = m x + b
So m=4
And MPerpendicular=-1/4
Hope this helps!!
The total cost for 22 gallons of gas is $68.30. How many dollars per gallon of gas did you spend?
Answer:
$3.10 per gallon
Step-by-step explanation:
Take the total cost and divide by the number of gallons
68.30/22
3.1045454545
Round to the nearest cent
$3.10 per gallon
Answer:
$3.10 per gallon
Step-by-step explanation:
You just have to divide $68.30 by 22. (And round)
$68.30 divided by 22 = 3.10
So, you answer will be 3.10
= $3.10 per gallonHope this helps! And happy Halloween x-x
^w^
If you roll a die once, what is the probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
there are 6 sides, and 3 is one of the 6 sides. thus, the answer is 1/6
Answer:
1/6
Step-by-step explanation: there are 6 incomes and 1 number 3 in a die
The mean useful life of car batteries is 48 months. They have a standard deviation of 3. Assume the useful life of batteries is normally distributed. a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.) b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)
Answer:
a) 15.9%
b) 2.3%
Step-by-step explanation:
We solving using z score formula. This formula is given as:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a. Calculate the percent of batteries with a useful life of less than 45 months. (Round your answer to the nearest tenth percent.)
x = 45, μ = 48, σ = 3
z = 45 - 48/3
= -1
Probability value from Z-Table:
The probability of batteries with a useful life of less than 45 months so
P(x<45) = 0.15866
Converting to percentage
0.15866 × 100 = 15.866
Approximately to the nearest tenth of a percent = 15.9%
b. Calculate the percent of batteries that will last longer than 54 months. (Round your answer to the nearest tenth percent.)
x = 58, μ = 48, σ = 3
z = 58 - 48/3
= 2
Probability value from Z-Table:
P(x<54) = 0.97725
P(x>54) = 1 - P(x<54)
= 0.02275
The probability of batteries that will last longer than 54 months is 0.02275
Converting to percentage
0.02275 × 100
= 2.275%
Approximately to the nearest tenth of a percentage = 2.3%
A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest hundredth foot.) PLEASE HELP!!
Answer:
A = a^2.....the Area (A) of a square = a^2...where a = one side
79 = a^2...now take the sqrt of both sides, this eliminates the ^2
sqrt 79 = a
8.888 rounded = 8.89 = a......so one side = 8.89 ft
Step-by-step explanation:
an earthquake with a magnitude of about 2.0 or less is called a micro earthquake it is not usually fell to the intensity of an earthquake with a magnitude of 2 is how many times greater than the intensity of a standard earthquake? M=log I/S
-Answer choice-
2 times greater
10 times greater
100 times greater
1,000 times greater
Answer: 100 times greater
Step-by-step explanation:
Second question answer is: 1000 times a standard earthquake
Then find MN.
LM = 5
MN = x - 4
LN = 2x– 11
equation:
MN =
Answer:
[tex]MN = 8[/tex]
Step-by-step explanation:
Given
[tex]LM = 5\\MN = x - 4\\LN = 2x - 11[/tex]
Required
Determine MN
MN is calculated as thus:
[tex]LN = LM + MN[/tex]
Make MN the subject
[tex]MN = LN - LM[/tex]
Substitute values for MN, LN and LM
[tex]x - 4 = 2x - 11 - 5[/tex]
[tex]x - 4 = 2x - 16[/tex]
Collect Like Terms
[tex]x - 2x = -16 +4[/tex]
[tex]-x = -12[/tex]
[tex]x= 12[/tex]
Substitute 12 for x [tex]MN = x - 4[/tex]
[tex]MN = 12 - 4[/tex]
[tex]MN = 8[/tex]
15 men can dig a trench of 90 m long in
3 hours. How long will it take 16 men
to dig a trench 48 m long?
Answer:
1.5 hours= 1hr 30m
Step-by-step explanation:
90÷15=6
6÷2=3
48÷16=3
3÷2=1.5
Mark me as brainliest if u found it helpful
Using proportional variables, it is found that it will take 1.5 hours for 16 men to dig a trench 48 m long.
The time needed is direct proportional to the length of the trench, and inverse proportional to the number of men, thus, the equation is:
[tex]t = k\frac{l}{m}[/tex]
In which:
t is the time.k is the constant of proportionality.l is the length of the trench.m is the number of men.15 men can dig a trench of 90 m long in 3 hours, thus [tex]m = 15, l = 90, t = 3[/tex], this is used to find k.
[tex]t = k\frac{l}{m}[/tex]
[tex]3 = k\frac{90}{15}[/tex]
[tex]6k = 3[/tex]
[tex]k = \frac{3}{6}[/tex]
[tex]k = 0.5[/tex]
Thus:
[tex]t = 0.5\frac{l}{m}[/tex]
16 men, 48m long, thus [tex]l = 48, m = 16[/tex], and the time is:
[tex]t = 0.5\frac{l}{m} = 0.5 \times \frac{48}{16} = 0.5(3) = 1.5[/tex]
It will take 1.5 hours for 16 men to dig a trench 48 m long.
A similar problem is given at https://brainly.com/question/14876746
What is the solution to the system shown here?
x + y 25
x + y = 5
Answer:
no solution (parallel lines )=1/1=1/1=5/1
Step-by-step explanation:
Use the substitution method to determine the solution type of the following system.
3y – 6x = 3
y = 2x + 1
Question 7 options:
Infinitely many solutions
(3, –1)
(2, 0)
No solutions
Answer:
Step-by-step explanation:
3y – 6x = 3 -----------------------------------(I)
y = 2x + 1 ----------------------------------(II)
Substitute y = 2x + 1 in equation (I)
3*(2x+ 1) - 6x = 3
3*2x + 3*1 -6x = 3
6x + 3 - 6x = 3
3 = 3
So, no solutions
Answer:
Use the substitution method to determine the solution type of the following system.
3y – 6x = 3
y = 2x + 1
Correct Answer
Infinitely many solutions
No solutions
(3, –1)
(2, 0)
Step-by-step explanation:
Suppose that you are attempting to estimate the annual income of 1700 families. In order to use the infinite standard deviation formula, what sample size, n, should you use
Answer:
Sample size should be less than 85
Step-by-step explanation:
Sample size should be less than 85
Step-by-step explanation:
To use the infinite standard deviation formula, n has to be <= (0.05)(1700)
n <= 85
So the sample size has to be less than 85
In another way too,
n = sample size
N = population size
For population, we multiply correction factor to the infinite standard deviation
F is <= 0.05
[tex]n/{N} <0.05[/tex]
n<0.05x1700
n<85
Sample size should be less than 85
Rewrite the equation in standard form.
y=2x-10
Answer:
The equation in standard form:
2x-y-10=0
in order to solve the following sye of equations by subtraction, which of the following could you do before subtracting the equations so that one variable will be eliminated when you subtract them? 4x-2y=7. 3x-3y=15
Answer:
dnhyfnvnvghdkd
Step-by-step explanation:
duhfgjfvnhfuvejfgkejiu
Televisions are on sale for 40% OFF the original price of $600. After tax (8.5%) is applied, what is the final price?
First, determine what is 40% of $600. Multiple 40 (as a decimal) by 600.
0.4 x 600 = 240
Therefore, the discount is $240 off $600.
Subtract the two values to find price (before tax): 600 - 240 = 360
So the TV will cost $360 before tax.
The tax is 8.5%. Multiply 8.5 as a decimal by 360 to find the amount of tax added.
0.085 x 360 = 30.6
Add 30.6 and the price before tax to find the final price.
30.6 + 360 = 390.60
Therefore, the final price of the TV is $390.60
HURRYYYY PLSSSSS IM TIMED
Which equation represents the number of books (b) a student reads each week (w) if the student reads 3 books each week? How many books will the student read in 18 weeks?
Question 3 options:
A)
w = 3b; 18
B)
b = 3w; 18
C)
w = 3b; 54
D)
b = 3w; 54
the 3 in 43.54 is how much larger than the 3 in 56.37?
Answer:
10 times larger
Step-by-step explanation:
I used my brain plus I learned it in 5th grade
Whats the circumference of a circle object that's 2 meters ?
PLEASE HELP ASAP
Use the discriminant to determine how many real number solutions exist for the quadratic equation −4x2 + 3x –28 = 0.
Question 2 options:
A)
0
B)
3
C)
2
D)
1
(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the following data: Assume that the suburb has a population of 320000 and is growing at a rate of 5000 per year. Assume that the city has a population of 624000 and is declining at a rate of 14000 per year. In how many years will the populations of the suburb and the city be equal
Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
Janisa researched fast-growing industries and occupations, while Rylan researched industries and occupations that have the highest employment. Which most likely describes Janisa and Rylan’s findings? Janisa found that home health care is the fastest growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment. Janisa found that services for the elderly is the fastest growing occupation and home health care is the fastest growing industry, while Rylan found that retail sales is the occupation with the highest employment and elementary and secondary school teaching is the industry with the highest employment. Janisa found that home health care is the fastest growing occupation and services for the elderly is the fastest growing industry, while Rylan found that retail sales is the occupation with
Answer:
Janisa found that home health care is the fastest-growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment.
Explanation:
We make this conclusion because when we look at all the other options none matches the definition of occupations and industries. However, if Janisa found that home health care is the fastest-growing occupation, and then services for the elderly are the fastest growing industry, it matches what we know an industry and occupation mean.
While, if Rylan found that elementary and secondary school teaching are the occupations with the highest employment, it matches an example of occupation also, and if he discovers that retail sales is the industry with the highest employment it also falls under industry types.
However, the other options mismatched industry examples for occupations.
Answer:I think the answer is C the third option
Step-by-step explanation:
NEED HELP PLEASE ANSWER
Answer:
I think its 1430 miles
Step-by-step explanation:
show your work
answer:v/7= 8
Answer:
V=56
Step-by-step explanation:
7x8=56
56/7=8
Answer:
v=56
Step-by-step explanation:
1 Multiply both sides by 77.
v=8\times 7v=8×7
2 Simplify 8\times 78×7 to 5656.
v=56
Regina's teacher recently gave her a homework assignment on solving equations. Since she has been ti
she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new
she has now, 40 is the amount of money she saves each month for the phone, and x represents the num
a regular amount:
74 + 40x=y.
She then solved the equation to determine how many months she'd need to save to have enough to pur
work, and select the error.
Justification
1: given
2: subtraction property of equality
3: simplification
4: multiplication property of equality
5: simplification
6: substitution, y = 834
7: simplification
Step 1:
Step 2:
Step 3:
Step 4:
74 + 40x=y
74 + 40x - 74 = y- 74
40x = y-74
40.5 y - 74
40 =
40
y - 74
X= 40
834 - 74
X = 40
Step 5:
Step 6:
Answe
Step-by-step explanation:
need brainest pls
can yall help me out please.
Answer:
which one equals 12? option C
Step-by-step explanation:
what is 1x1x1x1xx2x3xx4x6xx8xx0x9x-x8x76xx54xx6x45c3xx6357x63x
Answer:
The answer to 1x1x1x1xx2x3xx4x6xx8xx0x9x-x8x76xx54xx6x45c3xx6357x63x
is 4,727,808
Step-by-step explanation:
How can I prove to my teacher I’m smart when I’m a kinda low-key student to her. Especially in mathematics.
Answer:
Do your work? Especially if you do it fast, it amazes them lol
RS¯¯¯¯¯¯ bisects ∠QRT. If m∠QRT = 116°, what is m∠QRS?
A. 26°
B. 232°
C. 64°
D. 58°
Answer:
D. 58
Step-by-step explanation:
pretty easy clap
bisecting is midpoint which makes the two angles congruent
