Answer:
a. 76 b. 52
Step-by-step explanation:
The perimeter of a rectangle is the sum of its four sides.
Now all rectangles have a width and a length.
To find the perimeter it is 2 width + 2 length or 2W +2L.
So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L
Then...
2(76) + 2L = 344 multiply 2 and 76
2L + 152 = 344 subtract 152 from both sides
2L = 192 divide both sides by 2
L = 96
The length is 96.
The equation of an area of a rectangle is A or area = width x length or W x L
So the equation is A = W x L
If the area is 4732 and the length is 91 then
91W = 4732 divide both sides by 91
W = 52
The width is 52.
Hope that helps, good luck with your homework!
The lifetimes of a certain brand of light bulbs are known to be normally dsitributed with a mean of 1700 hours and standard deviation of 400 hours. A random sample of 64 of these light bulbs is taken. The probability is 0.20 that the sample mean lifetime is more than how many hours?
A. 1652.
B. 1725.
C. 1752.
D. 1670.
Answer:
1742 hours
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Single light:
Mean of 1700 hours and standard deviation of 400 hours, which means that [tex]\mu = 1700, \sigma = 400[/tex]
Sample of 64:
This means that [tex]n = 64, s = \frac{400}{\sqrt{64}} = 50[/tex]
The probability is 0.20 that the sample mean lifetime is more than how many hours?
This is the 100 - 20 = 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.84
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]0.84 = \frac{X - 1700}{50}[/tex]
[tex]X - 1700 = 50*0.84[/tex]
[tex]X = 1700 + 50*0.84[/tex]
[tex]X = 1742[/tex]
Determine the rate of change from the graph.
On a coordinate plane, a line with positive slope goes through points (0.5, 0) and (1, 4).
The rate of change shown in the graph is ...
PLZ HELP. NEED EXPLANATION PLZ!
As one object gets closer to another object the force of gravity will increase?
Answer:
no
Step-by-step explanation:
gravity is relevant to when something is being affected by the gravitational pull on earth, or any other planet. for example, i throw an apple into the air. and it comes back down, as newton said. what must come up, must come down. because of gravity, two objects being closer together does not affect the gravitational pull whatsoever. and the force of gravity doesn't change. as gravity just works on it's own, independent of the object, not dependent on the object. however certain objects will fall abit faster than others.
I'm so confused what is the answer plz?
Answer:
option b .
yes, by SAS.
.............
If I have 8 cans of soup and I gave 1/2 to sue and 1/4 to mark how many do I have left
Answer: 2 cans of soup left.
Step-by-step explanation:
1/2 of 8 = 4.
1/4 of 8 = 2.
4 + 2 = 6, so you are giving 6 cans of soup away. 8 - 6 = 2. In conclusion, you have 2 cans of soup left.
What’s the answer please help if you see this thank you?
Answer:
60
Step-by-step explanation:
8x6=48
3x4=12
48+12=60
A stack of 500 pieces of paper is 1.9 inches tall. How thick is each piece of paper?
Answer:
0.00375 inches thick
Dan is fertilizing his garden. The garden is in the shape of a rectangle. it's length is 16 feet and it's width is 13 feet. suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?
Answer:
Step-by-step explanation:
16ft(13ft)(b/26ft^2)=8b
So he’ll need 8 bags
22 is 1196 of what number?
Enter your answer in the box.
Answer:
It is 1174.
Step-by-step explanation:
Someone plz help answering this (mastery test)15points if u don’t know don’t answer real talk
Answer:
6 ? (i think)
Step-by-step explanation:
PLEASE PLEASE HELP
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
을
-3
[tex] \begin{cases} (-1, 2) \\ (-4, 3) \end{cases}[/tex]
Calculate and find the slope by using rise over run formula with two given points.[tex]m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute the coordinate points in.
[tex]m = \frac{3 - 2}{ - 4 - ( - 1)} \\ m = \frac{1}{ - 4 + 1} \longrightarrow \frac{1}{ - 3} \\ m = - \frac{1}{3} [/tex]
Hence, the value of m is - 1/3.
Slope-intercept[tex]y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}[/tex]
Answer[tex] \large\boxed{m = - \frac{1}{3} }[/tex]
Subtract. −27−12−(−16) −55 −23 −1 I don't know.
Answer:
-134
Step-by-step explanation:
I need help please I will give brainlest to first person that answers (please hurry)
Answer:
Less than 4 is 1,2,3
So 3/12=1/4
y is directly proportional to x.
(y = 44
when
x = 4.)
Find a mathematical model that represents the statement. (Determine the constant of proportionality.)
Answer:
11
Step-by-step explanation:
Trust me
Answer:
Step-by-step explanation:
directly proportional means it is in the form
y=kx, given y=44 and x=4
44=4k
k=11
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 12 meters?
Answer:
12 meters = 472.441 inches
~Hope this helps~
Use I = PRT to solve.
(time is in years)
1 = $270,000
P = $150,000
R = 12%
Find T.
Answer:
Time T = 15 year
Step-by-step explanation:
Given:
Interest I = $270,000
Principal P = $150,000
Rate R = 12% = 0.12
Find:
Time T
Computation:
I = PRT
270,000 = (150,000)(0.12)(T)
270,000 = (18,000)(T)
Time T = 15 year
Find the measure of x, then the measure of
6-22
8x + 34
R
S
degrees
Answer:
x = 12 ; m∠R = 130°
Step-by-step explanation:
(6x - 22)° + (8x + 34)° = 180°
6x - 22 + 8x + 34 = 180
14x + 12 = 180
14x = 168
x = 12
m∠R = (8x + 34)° = (96 + 34)° = 130°
m∠R = 130°
Use the figure to answer the following question.
1.3 m
0.5 m
2.4 m
What is the area, in square meters, of the figure?
O A. 0.78 square meters
OB. 0.6 square meters
C. 1.56 square meters
O D. 1.2 square meters
Answer:
The answer to the equation was c so yes you are right:)
Factor to write an equivalent expression for -9x+15y
Answer:
Step-by-step explanation:
-9x +15y = 3(-3x +5y) = -3(3x - 5y)
The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The given expression is given as follows:
-9x + 15y
It is required to find the factorization of the given expression.
As per the question, we have
-9x + 15y
To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:
-9x + 15y = 3(-3x + 5y)
Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).
Learn more about the Factorization here:
brainly.com/question/4184435
#SPJ3
if 5(2x-1)=35, then x=
Answer:
x=4
Step-by-step explanation:
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
5(2x - 1) = 35
Step 2: Solve for x
[Division Property of Equality] Divide 5 on both sides: 2x - 1 = 7[Addition Property of Equality] Add 1 on both sides: 2x = 8[Division Property of Equality] Divide 2 on both sides: x = 4A store pays $15 for a baseball cap. The percent
markup is 60%. What is the selling price?
Answer:
$25
Step-by-step explanation:
Simply by using long division, this can be solved. Change 60% into its decimal form (0.6,) and divide 15 by 0.6.
how do you solve 0.7n-1.5+7.3n=14.5
Answer:
n = 2
Step-by-step explanation:
Answer:
n = 2
Step-by-step explanation:
0.7n-1.5+7.3n=14.5
Add like terms
(0.7n + 7.3n) + (-1.5) = 14.5
8n -1 .5 = 14.5
Add 1.5 to both sides.
8n =1 6
Divide both sides by 8.
n = 2
What is the solution to this inequality? 7x +18 > -3
x<-3
x<3
x>-3
x>3
Step-by-step explanation:
7x + 18 > -37x > -3 -187x > -21x > -21÷7x > -3MARK ME AS BRAINLISTPLZ FOLLOW MEPlz help will give BRAINLIEST
write 2/5 X 3/7 in simplest form brainliest if correct
Answer:
6/35
Step-by-step explanation:
2/5x3/7
Multiply Numerators and Denominators
= 6/35
You can't further simplify so the answer is 6/35.
Answer:
6/35
Step-by-step explanation:
hope this helps, would consider downloading photomath
A _____________ is a function that describes a change in the position, size, or shape of a figure.
Answer:
force
Step-by-step explanation:
1+4=5
1+5=6
1+6=7
8+7=?
Answer:
8+7=15
Step-by-step explanation:
Just add 8+7 which will equal 15
Answer:
The answer is 15
Step-by-step explanation:
Hoped this helped!
If these two shapes are similar, what is the measure of the missing length c?
c=__kilometers
Answer:
3
Step-by-step explanation:
6 ÷ 2 = 3
1 × 3 = 3km
I hope this is actually right ^-^
Solve y^3 =-28 where y is a real number.
Simplify your answer as much as possible.
Answer:
YOU GOT THIS!!
Answer:
y=[tex]\sqrt{28}[/tex] i
Step-by-step explanation:
Angle y is 36 degree.what is angle x
Answer:
do u have a picture or smth? there is not enough info