Answer:
a) Because both sides are perfect squares b) (x-4)² – 28 = 8
(x–4)² = 36
Square root both sides
√(x–4)² = √36
x–4 = 6
x= 10
Step-by-step explanation:
(x–4)(x–4) = 36
x² – 8x+ 16 = 36
x² – 8x – 20 = 0
(x² + 2x)( –10x – 20) = 0
x(x+2) – 10(x+2) = 0
(x+2)(x–10) = 0
x = 10 or –2
x = 10
a. If the power of x is 2 then the value of x will be 2.
b. The values of the x are 6 and -2.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
Given
The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
a. If the power of x is 2 then the value of x will be 2. And in the equation the power of x is 2 then the solution for the x will be two.
b. The equation is [tex]\rm (x- 4)^2 - 28 = 8[/tex].
On simplifying
Add 28 both the sides, we have
[tex]\rm (x- 4)^2 = 36[/tex]
Taking square root both the sides, then we have
[tex]\rm x- 4 = \pm 6[/tex]
Add 4 both the sides,
[tex]\rm x = \pm 6+ 4\\\\x = 6 + 4, - 6 + 4\\\\x = 10 , -2[/tex]
Thus, the values of x are 6 and -2.
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When 334 college students are randomly selected and surveyed, it is found that 103 own a car. Find a 99% confidence interval for the true proportion of all college students who own a car.
Answer:
(.24329, .3734)
Step-by-step explanation:
1-propzint
n=334
x=103
c level .99
Which side lengths form a right triangle?
Answer:
About anything that adds up to 90...
Step-by-step explanation:
Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i
Answer:
blank space=[tex]\frac{31}{2}[/tex]+[tex]\frac{13i}{2}[/tex]
The empty boxes which make the equation true are (22 -3i) - (15 + 9i)
= 7 - 12i.
What are complex numbers?As the name suggests it is a combination of real numbers and imaginary numbers.
A complex number (a + ib) where a is the real part and b is the imaginary part.
'i' here is called iota and i = √-1, i² = - 1, i³ = - i and i⁴ = 1.
Given, (_ -3i) - (15+_i) = 7 - 12i.
Assuming the real number to be 'a' and the imaginary number to be 'b'.
∴ (a - 3i) - (15 + bi) = 7 - 12i.
a - 3i - 15 - bi = 7 - 12i.
On comparing the real and imaginary parts we get,
a - 15 = 7.
a = 22,
- 3i - bi = - 12i.
- bi = - 9i.
b = 9.
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Mr. Benson must give each child 3/12 of a pizza. She is feeding 8 children. How much pizza does Mr. Benson need to make.
Answer:
2 pizzas to feed 8 children
Step-by-step explanation:
3/12 simplified is 1/4
this means that with one pizza you can feed four children.
Given the data below, what is the upper quartile? 1,1,3,4,4,4,8,9,13,15
Answer:
9 is Q3
Step-by-step explanation:
1,1,3,4,4,4,8,9,13,15
3 is Q1
4 is Q2 (median)
9 is Q3
The upper quartile for the given data set is 3.
What are quartiles?In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles; as such, quartiles are a form of order statistic.
Given is a data as given below -
1,1,3,4,4,4,8,9,13,15
The first quartile Q1 is the 25th percentile. It is also called as the upper quartile. So, we can say that that the upper quartile is 3.
Therefore, the upper quartile for the given data set is 3.
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Find the area of the shaded region above
Answer:
given
length[l]=14
breadth =base [b]=13
height [h] for triangle=8
area of shaded region
=area of rectangle+traingle=l×b+1/2 b×h=14×13+1/2×13×8=234 square units
Area of shaded region is 234 square unit
Given:
Base of rectangle box = 13
Height of rectangle box = 14
Height of triangle = 8
Find:
Area of shaded region
Computation:
Area of shaded region = Area of rectangle + Area of triangle
Area of shaded region = [(l)(b)] + [(1/2)(b)(h)]
Area of shaded region = [(14)(13)] + [(1/2)(13)(8)]
Area of shaded region = 182 + [(13)(4)]
Area of shaded region = 182 + 52
Area of shaded region = 234 square unit
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Your body mass index (BMI) is your weight in kilograms divided by the square of your height in meters. Many online BMI calculators allow you to enter weight in pounds and height in inches. High BMI is a common but controversial indicator of overweight or obesity. A study by the National Center for Health Statistics found that the BMI of American young men (ages 20 to 29) is approximately normal with mean 26.8 and standard deviation 5.2. People with BMI less than 18.5 are often classed as "underweight." What percent of young women are underweight by this criterion? Sketch and shade the area of interest under a Normal curve.
Answer:
5.5227%
Step-by-step explanation:
Z score formula = (x-μ)/σ
where x is the raw score = < 18.5
μ is the population mean = 26.8
σ is the population standard deviation = 5.2
For x < 18.5
z = 18.5 - 26.8/5.2
z = -1.59615
Probability value from Z-Table:
P(x<18.5) = 0.055227
Converting to percentage
= 0.055227 × 100
= 5.5227%
Therefore, the percentage of young women that are underweight by this criterion is 5.5227%
Please help!
The kitten, weighing 3 pounds, is adopted. Which of the following statements is true about the distribution of the weight of the remaining cats? Select THREE that apply.
A. The mean of the weight distribution will increase
B. The standard deviation of the weight distribution will decrease
C. The median of the weight distribution will increase
D. The range of the weight distribution will decrease
Answer:
D
Step-by-step explanation:
I think so :)
Now this helps if correct!
Guys can you please help me. If you guys see this guy and tells you to download stuff and gives you link dont trust them there a hacker his name is( Alan890426 )
Answer: ill take care of him
Step-by-step explanation:
Trey measured the mass of some pebbles what is
Which Angle measurements create a Triangle?
A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80
Directions: Type your answer in the box below without using the ($) symbol.
Wesley had $792.38 in his checking account. He made the following transactions:
• He bought groceries at Food Lion using his debit card for $58.62.
• He received $50.00 for his birthday and deposited the money into his checking account.
• He made a withdrawal at the ATM from his checking account in the amount of $120.00. • He purchased a pair of shoes from the mall using his debit card in the amount of $64.98.
What was the final balance in his checking account after these transactions?
Answer:
Wesley's final balance in his checking account after these transactions is $598.78.
Step-by-step explanation:
792.38 - 58.62 + 50 - 120 - 64.98 = 598.78
URGENT!! I NEED HELP ASAP NOT ROCKY
Ryan wishes to purchase a new boat and can afford monthly payments of up to $300 per month. Finance is available and the terms are that the loan lasts for 3 years, and the annual interest rate is 12%. What is the maximum price for a boat that Ryan's budget can afford? Round your answer to the nearest hundred dollars.
Answer:
$9000Step-by-step explanation:
Given
Monthly payment P = $300Time t = 3 years = 36 monthsNumber of payments n = 36Interest rate r = 12% PA = 1% per month = 0.01 timesUse loan payment formula:
P = r(PV) / (1 - (1 + r)⁻ⁿ), where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of paymentsSubstitute values and solve for PV:
300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)PV = 300*(1 - 1.01⁻³⁶ )/ 0.01 PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
plz help for brianly
Answer:
190.
Step-by-step explanation:
The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. What is the score that is 25 standard deviations below the mean?
Answer: The z-score for an ACT score of 26 is 0.17.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the zscore of a measure X is given by:
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.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
Find the z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17.
The z-score for an ACT score of 26 is 0.17.
What is z-score?
When assessed in terms of standard deviation units, a raw score's location in relation to its distance from the mean is indicated by a z-score. If a value is above the mean, the z-score is positive; if it is below the mean, it is negative.
In a set with mean and standard deviation , the z-score of a measure X is given by: z-score=(x-μ)/σ
How do you find z-score?
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.
In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.
This means that
We need to find z-score for an ACT score of 26.
This is Z when X = 26. So
The z-score for an ACT score of 26 is 0.17
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(8 x 12) - 2(60 ÷ 10) - 15
srry i cant do this ive tryed and im stuck on the 2 step
Answer:
69 (lol)
Step-by-step explanation:
PEMDAS
parentheses, exponents, multiply, divide, add, subtract (in that order)
[tex](8*12)-2(\frac{60}{10} )-15\\=96-2(\frac{60}{10} )-15\\=96-2(6)-15\\=96-12+(-15)\\=96-27\\=69[/tex]
Please help I’ll mark you as brainliest if correct!
Answer:
The answer is 75.
Proof:
75/45 when simplified is 5/3
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than quarters. She has 3 more nickels than quarters. She has 4 more pennies than quarters. How many quarters does Jasmine have? Note: A quarter is worth $0.25, a dime is worth $0.10, a nickel is worth $0.05, and a penny is worth $0.01.
Answer:
dw
Step-by-step explanation:
Please help! NO LINKS (Answer and explanation please :( )
Answer:
sum of angles in a quadrilateral is 360
Step-by-step explanation:
3x-15 +3x+15+y+30+D=360
hope that explanation helps
me pueden ayudar a resolver la ecuaciones
PLS HELP FOR 78 POINTS AND PLS NO POINTLESS LINKS
Answer:
1. 12.9
2. 14
Step-by-step explanation:
11, 18, 7, 14, 5, 16, 14. 18
Added Together it is 103.
Divided by 8, it is around 12.9
5, 7, 11, 14, 14, 16, 18, 18
Answer:
12.9 and 14Step-by-step explanation:
Given data:
11, 18, 7, 14, 5, 16, 14, 18Mean is the average:
(11 + 18 + 7 + 14 + 5 + 16 + 14 + 18)/ 8 = 12.875 ≈ 12.9Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:
5, 7, 11, 14, 14, 16, 18, 18Median is 14 as both middle numbers are sameWhich of the following best describes ABC – DEF?
A. ABC is a dilation of DEF.
B. ABC is similar to DEF.
C. ABC is a reflection of DEF.
D. ABC is congruent to DEF
Please help I will give brainliest.
Answer:
A. ABC is a dialtion of DEF
Please help me out on this- I will give brainliest
Answer:
A) choice on the left
B) choice on the right
C) choice on the right
D) choice on the right
Step-by-step explanation:
Find the area of the trapezoid. A trapezoid has a base of 8 meters, a height of 6 meters, and a top side length of 4 meters.
Answer:
36 m²Step-by-step explanation:
A = 1/2(b₁ + b₂)hA = 1/2(8 + 4)*6 = 36 m²
help pls pls pls シ
And thanks!
Answer:
the answer the 10.25 u move both decimals over and move it up to the top and divide like normal
It cost 5.50 for parking, plus an additional $8 for each concert ticket purchased. If joe starts off with a 50 dollar bill and buys 3 concert tickets and a 10$ T-shirt, how much money will he have left? PLEASE HELP
Answer:
$10.50
Step-by-step explanation:
50-[5.50+8(3)+10] =
50-39.50=
10.50
Answer:
$6.00
first multiply eight and three then add the two things joe bougth. then the answer minus 50
The school is trying to paint one side of the curved dividers as show below for the computer lab. The
can of paint is able to cover an area of 25ft?. Will this be enough paint? Select the best answer.
Answer:
Yes, because the area of one side of the divider is approximately 24ft^2
Answer:
yes 24 squared
Step-by-step explanation:
Math Nation
A shirt is on sale for 20% off its original price. If the shirt cost $40, how much will the shirt cost after the discount?
$8
$20
Write an equation to represent the relationship between red paint, r, and yellow paint, y, in each batch.
The equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
At r = 2, y = 3,
r = 4, y = 6,
r = 6, y = 9
Here, r is red paint and y is yellow paint.
The above condition can be written as
2r = 3y
r = 3 / 2y
Therefore, the equation to represent the relationship between red paint, r, and yellow paint, y, in each batch can be written as r = 3 / 2y.
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PRETTY PLS HELPPPP!/ Kyle has a storage box that is 2 ft. long, 3 ft. high, and has a volume of 12 ft. 3 . Myla has a storage box that is 4 ft. high, 2 ft. long, and has a volume of 16 ft. 3 . What are the widths of Kyle and Myla's boxes? Explain how you know.
Answer:
Kyle box width is 2 and myla box width is 2
Step-by-step explanation:
The formula for Volume is LxWxH. 2 x 3 = 6. 12/6 = 2 and for myla box 4x2 =8. 16/8 = 2. ngl i think i deserve brainlest.