Answer:
88.493%
Step-by-step explanation:
We solve this question using z score formula.
Z score = x - μ/σ
where
x is the raw score = 120lb
μ is the population mean = 138lb
σ is the population standard deviation = 15lb
Hence,
z = 120 - 138/15
= -1.2
Probability value from Z-Table:
P(x<120) = 0.11507
P(x>120) = 1 - P(x<120)
1 - 0.11507
= 0.88493
Converting to percentage
= 0.88493 × 100
= 88.493%
The percentage of women in that country weigh more than 120 lb is 88.493%
“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m
4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175
The factored form of the expression would be; (7x + 2√5) (7x - 2√5)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression form 49x² + 20
Therefore, 49 is a perfect square,
This expression could also be given as;
(7x)²- (2√5)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we have:
(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)
Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)
Learn more about expression here;
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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 49x² + 20
The expression can be written as,
⇒ 49x² - 20i²
Simplify the expression, then we have
⇒ 49x² - 20i²
⇒ (7x)² - (2i√5)²
⇒ (7x - 2i√5)(7x + 2i√5)
The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
More about the Algebra link is given below.
https://brainly.com/question/953809
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True or False? The blue radius is perpendicular to the green chord.
The statement that the blue radius is perpendicular to the green cord is false
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
Read more about radius and chords at:
https://brainly.com/question/1869643
find the value of x , this like similar right triangles and geometric means and stuff
Answer:
16
Step-by-step explanation:
We can calculate the value of x using Euclidean theorem
15^2 = 9 × (x+9)
225 = 81 + 9x subtract 81 from both sides
144 = 9x divide both sides by 9
16 = x
Diane earns $14,500 a year. She pays 11% of her gross income for federal, state, and local taxes. She is taxed at the FICA rate of 7.65%. She has 3.5% of her income withheld for personal deductions. She is paid biweekly. What is her net pay for each pay period? Round to nearest cent.
Answer:
$434.16346
Step-by-step explanation:
Given that :
Gross earning= $14500
Federal, state and local taxes = 11%
0.11 * $14500 = $1595
FICA tax rate = 7.65%
0.0765 * 14500 = $1109.25
Personal deduction :
3.5% * 14500
0.035 * 14500 = $507.50
Total deduction :
$(1595 + 1109.25 + 507.50)
= $3211.75
Net earning : $(14500 - 3211.75) = 11288.25
Since she is paid bi weekly:
Number of biweeks in a year = 52 /2 = 26
Number of payments per annum = 26
Hence,
Net pay per period :
11288.25 / 26
= $434.16346
=
Factor completely: f(x) - 2x^2 - 3x - 2
Answer:
(2x+1) (x-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
How could i improve my math skills? i'm so freaking bad at math i've been in a f for over a month and don't remember anything i've learned over the years. i'm in 10th grade and feel like imma fail or have to dropout of school to be a failure at life. >:(
how can i get better b4 i get kicked outta my homeschool and put into brick and mortar and get the 'rona.
Logan bought a baseball bat on a trip. The baseball bat is 29 inches long.
Logan thinks he can bring the baseball bat home in his suitcase. Is he correct? Use your understanding of the Pythagorean Theorem to explain your answer.
The length of the suit case is 24 inches while the height is 18 inches
Give me the answer in i will give you brainliest
Step-by-step explanation:
Given that,
The length of a baseball is 29 inches
Logan thinks he can bring the baseball bat home in his suitcase.
The length of the suit case is 24 inches while the height is 18 inches. We can find the diagonal (x) of the suitcase using Pythagorean Theorem as follows :
[tex]x^2=24^2+18^2\\\\x=\sqrt{900} \\\\x=30\ \text{inches}[/tex]
The diagonal of the suitcase is 30 inches. It means that he can put the baseball bat in the suitacse easily.
1. -1 + 2
2. 1 + (-2)
3. -1 - 2
-
4. 1 - (-2)
Answer:
1. 1
2. - 1
3. - 3
4. 3
Is the answer.What is the slope of a line passing through the points (-1, 3) and (4, -7)
A. -2
B. -4/3
C. 3/4
D. 2
Answer:
A
Step-by-step explanation:
-7-(3)/4-(-1)=-10/5 which is -2
Use the slope formula y2-y1/x2-x1 to solve
answer this for me please gotta hurry!! 4x10^-2
Answer:
1/25 or 0.04 in decimal form
Step-by-step explanation:
i just used a calculator-
due in 5 minutes
Who would have first made this statement while observing cork under a microscope?
"The cork looks like little rooms, or cells.”
A Hooke
B Schleiden
C Leeuwenhoek
D Virchow
Answer:
Hooke
Hope This Helps!
Answer:
Hooke
Step-by-step explanation:
pls dont get mad if im wrong im just here to help :)
Holly stops to drink 5 ounces of water every two miles she
runs. The further that Holly runs, the more she drinks water.
Complete the table by writing two equivalent ratios
Answer:
the amount of water she drinks is x, the mileage is y:
x y
2 miles 5 oz
4 miles 10 oz
6 miles 15 oz
the ratios would be 4/10 and 6/15
Step-by-step explanation:
for every 2 miles Holly runs, she drinks 5 oz of water, right? the ratio is 5:2, so if you were to come up with other numbers that match the ratio, they have to be divisible by the parts of the ratio. so if she runs 2 miles, she drinks 5 oz. if she runs 4 miles, then she drinks 10 oz.
think of a ratio like a fraction (in this case it would be 2/5). if you were to make equivalent ratios, then the two fractions would have to be equal, right? well, when you simplify all of the numbers listed in the table above after making them into fractions, they would all go back to 2/5, so the numbers i came up with above are equivalent ratios, meaning they have the same value when simplified.
hopefully that helps and isn't too confusing! if you need other help, let me know! :)
You have $40 to spend on coffee and tea. Graph the equation 8x+4y=40 , where x is the number of bags of coffee and y is the number of boxes of tea. Then find the maximum number of bags of coffee you can buy.
no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
Nicole deposits $300 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years
Answer:
the answer is 45%
y-step explanation:
if not sorry :(
can someone help me?
Answer:
I hope this helps!
Step-by-step explanation:
1. M is .25
b is 20
so
y= .25x+20
2. y= 3x+2
Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.
Answer:
s=40w+350; s=$1,070
Step-by-step explanation:
Our equation looks like this:
s=40w+350
Next we plug in 18 for w, our number of weeks.
s=40(18)+350
Multiply the 40 and 18.
s=720+350
Add the 350 and 720.
s=1,070
Add a dollar sign to say that the amount is in dollars.
s=$1,070
HTH :)
The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.
Total amount of money in the savings account after 18 weeks is
What is an Equation?An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.
There are left hand side and right hand side for every equation and may or may not include variables.
S is the total amount of money in the savings account of Yoko.
W is the number of weeks Yoko has been adding money.
Initial money = 350
After 1 week total money = 350 + (1 × 40)
After 2 weeks, total money = 350 + (2 × 40)
It goes on like this until the last week.
So after W weeks total money = 350 + (W × 40)
Total amount of money in the savings account after W weeks, S = 350 + 40W.
After 18 weeks, S = 350 = (40 × 18) = $1070
Hence the equation relating W and S is, S = 350 + 40W.
Total amount of money after 18 weeks = $1070
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what properties is used in this equation 4(x + 5) = 40
Answer:
Distributive property
What is the discounted price of a $150 gaming chair with a discount of
15%?
Help me please......
Answer:
Approx. 73°
Step-by-step explanation:
please help i am desperate.
Answer:
3y +9 = perimeter
Step-by-step explanation:
Answer:
4y+9
Step-by-step explanation:
To find the perimeter , you have to add up all the 4 sides
so y + y+2 + y+4 + y+3 = 4y+ 9
hope it helps
Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.)
PLEASE ANSWER ASAP!!!!
Answer:
Step-by-step explanation:
you suck
Brainlest to whoever can tell me what pi stands for
Hi!
Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.
Hope this Helps!
Yours Truly,
~~~PicklePoppers~~~A hypothetical population consists of eight individuals ages 14, 15, 17, 18, 19, 21, 28, and 30 years What is the probability that a person in this population is a teenager? What is the probability of selecting a participant older than 30? What is the probability of selecting a participant who is at least 20 years old?
Answer:
1)0
2)3/8
Step-by-step explanation:
2)total number of participants who are at least 20 years old = 3
Total number of participants= 8
A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answer:
So he can buy 15 + he will have on his card left 0.65$
Step-by-step explanation:
20 / 1.29 = 15 song's
20 - 19.39 = 0.65
So he can buy 15 + he will have on his card left 0.65$
the person above me is correct.
Ava has to attend at least 45 physics classes every semester to earn attendance points. If she can attend 3 classes every week, write an inequality that determines the minimum number of weeks Ava should attend physics classes. PLEASE ANSWER!
Answer:
45= 3x
Step-by-step explanation:
45 classes= 3 classes × x weeks
Will give brainliest if you are right.
Answer:
X intercept is (2,0)
Y intercept is (0,-4)
Gib brainliest hahaha
(but hope i helped :)
Jackson is riding his bike in a 150 mile race. If he wants to keep the same pace for the first five hours then go as fast as he can the last 20 miles. How many miles should he travel in the first hour of his race?
Possible answers:
A. 18 miles
B. 22 miles
C. 24 miles
D. 26 miles
Answer:
Step-by-step explanation:
It is b
