Answer: Length = 2x✓15
Step-by-step explanation:
A rectangle has a width of 2x inches and a diagonal length of 8x inches. We are told to find the length of the rectangle. The square of the diagonal is the addition of the square of the length and square of the width.
Adjacent² = length² + width²
(8x)² = length² + (2x²)
Length² = 64x² - 4x²
Length² = 60x²
Length = ✓60x²
Length = ✓4 × ✓15 × ✓x²
Length = 2 × ✓15 × x
Length = 2x✓15
Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1
Answer:
7
Step-by-step explanation:
used a calculator
A farmer sells 6.8 kilograms of apples and pears at the farmer's market. 2 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
weight of pears sold = 4.08 kg
Step-by-step explanation:
total weight of apples and pears = 6.8 kg
2/5 of this weight = apples
this means that if the total weight (6.8 kg) were divided into 5 parts, apples take 2 out of the 5 parts:
∴ weight of apples = 2/5 of total weight
weight of apples 2/5 × 6.8 = 2.72 kg
Therefore apples weigh a total of 2.72 kg
Therefore, since weight of apples + weight of pears = 6.8 kg
2.72 + weight of pears = 6.8
weight of pears = 6.8 - 2.72 = 4.08 kg
Fifty-five percent of doctors at a hospital have prescribed a particular medication. A simulation with 200 random samples of 50 doctors each is shown. Describe how the sample percentages vary.
Answer:
- Mean of sampling distribution = 55%
- Standard deviation of the sampling distribution = 7%
- 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).
- 95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).
- 99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).
Step-by-step explanation:
Population proportion = 55% = 0.55
Mean proportion of the sampling distribution too = 0.55
For a binomial distribution to approximate a normal distribution,
np ≥ 10
n(1-p) ≥ 10
np(1-p) ≥ 10
Note that n = sample size
p = proportion of medical doctors at the hospital that have prescribed a particular medication.
np = 50 × 0.55 = 27.5 ≥ 10
n(1-p) = 50×0.45 = 22.5 ≥ 10
np(1-p) = 50×0.55×0.45 = 12.375 ≥ 10
Hence, this sampling distribution is approximately normal.
Standard deviation of the sampling distribution is given as
σₓ = √[p(1-p)/n] = √[0.55×0.45/50] = 0.0703562364 = 0.0704 = 7.04% ≈ 7%
The empirical law for normal distributions explains that 68% of the distribution (about 136 of the 200 samples have sample proportions that) lie within 1 standard deviation of the mean, that is, within (55% ± 7%) = (48%, 62%).
95% of the distribution (about 190 of the 200 samples have sample proportions that) lie within 2 standard deviations of the mean, that is, within (55% ± 14%) = (41%, 69%).
99.7% of the distribution (almost all of the 200 samples have sample proportions that) lie within 3 standard deviations of the mean that is, within (55% ± 21%) = (34%, 76%).
Hope this Helps!!!
Answer:
Its correct I took the test!
Step-by-step explanation:
!!
An art class offered painting classes on 22 out of 3” days in September. What decimal is equivalent to the fraction of days in September that classes were offered?
Answer:
0.73
Step-by-step explanation:
Given: Painting classes were offered on 22 out of 30 days in September.
To find: decimal that is equivalent to the fraction of days in September that classes were offered
Solution:
Total number of days in September = 30
Number of days when painting classes were offered = 22
So,
fraction of days in September when classes were offered = [tex]\frac{22}{30}=\frac{11}{15}[/tex]
Therefore,
decimal equivalent to the fraction of days in September when classes were offered = 0.73
PLEASE HELP ASAP!!!! i'll give brainliest to first answer
Answer:
I'm Pretty sure B, I am not that good at math but i hope i got it correct!
Step-by-step explanation:
Answer:
The answer is B, my darling.
The owner of a car wash combines x gallons of a 2% liquid soap and 98% water mix with y gallons of a 7% liquid soap and 93% water mix to make 500 gallons of a 5% liquid soap and 95% water mix. Write a system of linear equations that represent the situation.
Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.
Answer:
[tex]73\%[/tex]
Step-by-step explanation:
Given: Present weight of Caleb’s puppy = 2,250 grams
Puppy weighed 600 grams at his last visit to the veterinarian’s office.
To find: percent increase in the puppy’s weight rounded to the nearest whole number
Solution:
Increase in puppy's weight = 2250 - 600 = 1650 grams
Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]
[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]
He base of a pentagonal prism has an area of 2.4 m2. The prism has a volume of 4.8 m3. What is its height? Use sketches, formulas and/or charts to justify your answer
Answer:
The height of the prism is 2m
Step-by-step explanation:
Given;
The volume of pentagonal prism, V = 4.8 m^3
Area of the prism, A = 2.4 m^2
To determine the height of the prism, we consider the following;
Volume of any prism = Area of the prism x height of the prism
Height of the prism = volume of the prism / Area of the prism
Height of the prism = 4.8 / 2.4
Height of the prism = 2 m
Therefore, the height of the prism is 2m
Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?
Answer:
1,616.60
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Step-by-step explanation:
Elimination method using multiplication
1. x+3y=6 and x+2y=5
2. 3x-y=2 and x+2y=3
3. 4x X 5y=6 and 6x-7y=-20
4. 4x+2y=8 and 16x-y=14
Answer:
1. x=3, y=1
2. x=1, y= 1
3.( i dont know what the first expression means, are you multiplying 4x and 5y or adding it?)
4. x=1 , y=2
Step-by-step explanation:
This is simple simultaneous equations. You need to eliminate one element in each of the two equations, either y or x and the calculate for the other value.
Two less than four times a number is less than thirty. Which inequality can be used to find the solution?
Answer:
(4×n)-2<30
Step-by-step explanation:
4xn is 4 times a number
two less= -2
LESS THAN 30, is <
The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given statement is that two less than four times a number is less than thirty.
Let the unknown number be x.
Four times a number is 4x.
Two less than four times a number is 4x - 2.
Two less than four times a number is less than thirty is 4x - 2 < 30.
4x - 2 < 30
Adding both sides with 2,
4x < 32
Dividing both sides by 4,
x < 8
Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.
To learn more about Linear Inequalities, click on the link :
https://brainly.com/question/11897796
#SPJ2
Please help me it’s really important to me
Junior is using estimating to Find the product of 6752x36 by rounding 6752 to the nearest thousands and 36 to the nearest tens what estimate does junior make
Answer:
7000*40=280000
Step-by-step explanation:6752 rounded to nearest thousands is 7000 and 36 rounded is 40
Answer:
280,000
Step-by-step explanation:
Find the slope and the y-intercept, then write the equation for the line in slope intercept form ?
Answer:
Slope: 1/3
Y-Intercept: (0,7)
Equation: y = 1/3x + 7
Step-by-step explanation:
If you find a point on the line, you can find the slope by counting the distance from the y-intercept.
Given the following functions, find the indicated values.
Answer: Please provide an image of what you are talking about so that we can help you more.
I need help please help
Answer:
a) 60 times
b) 0.24
c) 150 times
Step-by-step explanation:
This one and 1 more !!!
Answer: 30!
Step-by-step explanation: add carter’s, lucas’, davi’s, alice’s numbers. ( equaling 25).. add 5 since it turns to 30, 30 dived by 5 is 6.
I need help with this question
2(y – 3) = 1.2 – y
Solve and explain
Answer:
y ≈ 2.4
Step-by-step explanation:
What are the equivalent ratios of 5/8
Answer:
60/96
Step-by-step explanation:
Answer:
10:16 or 2.5:4
Step-by-step explanation:
sorry if i am wrong
help me pls working on quizizz :(
here your answer mate
3.25
hope it helps ☺️✌️
Answer:
3.25
Step-by-step explanation:
16/13 = 4/r
16 × r = 13 × 4
16r = 52
r = 52/16 = 3.25
The drama club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 with a 1/2 hour break between the showing.
Answer:
an hour and ten minutes long.
Step-by-step explanation:
Simply the expression. (7x^2y^3)^4
Answer:
2401x^8y^12
Step-by-step explanation:
You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.
What is the value of x in the equation 3-2x=-1.5x?
оооо
-6
Answer:
x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = 6
Step-by-step explanation:
In this equation, we are told to solve for the value of x. Thus, we must isolate the variable x (poor x... we're always trying to isolate it).
3 - 2x = -1.5x
(I'm going to swap sides to make it easier for me to solve. This doesn't change anything mathematically due to the associative laws. It's purely cosmetic.)
-1.5x = 3 - 2x
First, we can add 2x to both sides of the equation to get all algebraic expressions containing the variable x on one side of the equation alone.
0.5x = 3
For our next part here, let's convert 0.5 to a fraction to make life easier for us.
[tex]\frac{1}{2}[/tex]x = 3
When isolating x in this, we are trying to get rid of 1/2. How can we do this? We can multiply is by 2!
[tex]\frac{1}{2}[/tex]x · [tex]\frac{2}{1}[/tex] = 1x (or simply x)
What we do to one side we must do to another.
x = 3 · 2
x = 6
Our answer is x = 6. Woo!
what expression is equivalent to 3x - (2x+4) + 5
Answer:
x+1
if it helps let me know by voting
Step-by-step explanation:
Answer:
3x+(-2x-4)+5 would be one of plenty other possibilities, it would help if we knew what x was equal to
Step-by-step explanation:
PLEASE HELP !!! ASAP
please help i will mark brainly !
Answer:
1 hour and 20 minutes
Step-by-step explanation:
Answer:
Total time taken by Natalie to reach the airport is 1 hour and 20 minutes
Find all roots of y=x^3-64
Answer:
x = -4i and x = 4i, also x = 4
Step-by-step explanation:
Rewrite y = x^3-64 as y = x^3 - 64. This can again be rewritten, this time as:
y = (x - 4)(x^2 + 16).
Setting this = to 0, we get x - 4 = 0, whose corresponding root is x = 4, and
x^2 + 16), which has two unequal, imaginary roots: x = -4i and x = 4i.
So the slope of this question is 1, does that mean I leave it as 1 or change it to 0?
Answer:
Keep it as 1.
Step-by-step explanation:
If it is 0 then there is no slope.
round to the nearest tenth 19.95
Answer:
20
Step-by-step explanation:
u have to look at the 9 after the decimal and if it is 5 or above then it goes up
Answer:
20
Step-by-step explanation:
the 9 would move the 19 up to a 20. Hope that this helps you and have a great day :)
Which of the following equations will yield the surface area of cylinder?
Answer: [tex]A=2\pi rh+2\pi r^2[/tex]
The guy on the top is rite. ☻♥