Answer:
4.8 cm
Step-by-step explanation:
573.3 = w(7.35 x 16.25)
(7.35 x 16.25) = 118.625
573.3/118.625 = 4.832
4.832 rounded to the nearest tenth = 4.8
So, your answer will be 4.8 cm.
There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.
Answer:
The answer is "0.274 and 0.841"
Step-by-step explanation:
Given:
In this question, let X the binomial random variable with the parameters:
[tex]n = 1000\\\\P = 0.193[/tex]
Calculating the random variable Z:
[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]
is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.
Using the continuity and tables to calculate:
[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]
(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".
(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".
ProbabilityAccording to the question,
Majority percentage, P = 19.3% or,
= 0.193
Sample person, n = 1000
Q = 1 - P
= 1 - 0.193
= 0.807
By using Normal approx. to Binomial,
→ Mean, E(X) = n × P
By substituting the values,
= 1000 × 0.193
= 193
Standard deviation, X = √n × p × Q
= √1000 × 0.193 × 807
= 12.4800
(a)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{210-193}{12.48}[/tex]
= 1.36
The probability be:
→ P(X > 210) = 1 - P (Z < 1.36)
= 1 - 0.9131
= 0.08691
(b)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]
= 8.57
hence,
The probability be:
→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)
= 1 - 0.1488
= 0.85122
Thus the answers above are correct.
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The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?
O unlikely
O likely
O impossible
O an equal chance or 50-50
For the following arithmetic sequence, find the value of a and d and hence find the term indicated: - 2 , 2 , 6 , 10 , . . . , t 7. If the first term of an arithmetic sequence is 7 and the 4th term is 28, find the value of d.
Answer:
[tex]t_{7}[/tex] = 22 is the answer to the first question
d = 4 is the answer to the second question
Step-by-step explanation:
use the formula [tex]a_{n} = a + (n - 1)d[/tex]
6 - 2 = 4 = d a = -2 n = 7
[tex]t_{7}[/tex] = -2 + (7 - 1)4
= -2 + 6(4)
= -2 + 24
= 22
use the formula [tex]a_{n} = a + (n - 1)d[/tex]
a = 7
n = 4
[tex]a_{4} = 28[/tex]
28 = 7 + (7 - 1)d
= 4 + 6d
24 = 6d
d = 4
The figure shows two intersecting lines and measures of the resulting angles,
(3x - 81°
(2x +12)
What are the values of x and y?
O A * = 4, y = 160
OB. X = 20, y = 52
C. X = 4, y = 20
D. X = 20, y = 128
If b = 5, what is 632
15
25
75
125
Answer:
Step-by-step explanation:
A
id.6577294778 psrd:kaus
Find the balance in the amount after the given period. 5000 principal earning 7% commanded, 7 years
Complete question :
Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years
Answer:
8,028.91
Step-by-step explanation:
Given :
Principal, P = 5000
Rate, r = 7% = 0.07
Period, t = 7 years
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
A = 5000(1 + 0.07/1)^(1*7)
A = 5000(1 + 0.07)^7
A = 5000(1.07)^7
A = 5000 * 1.60578147647843
A = 8028.90738239215
Amount saved = 8,028.91
PLEASE!!! ASAP!!! WILL GIVE BRANLIEST!!! SHOW & EXPLAIN!!
I'm not smart & studying for my ACT's..
The text message component of each of Juan's monthly phone bills consists of $10.00 for the first 300 text messages sent that month, plus $0.10 for each additional text message sent that month. On Juan's most recent phone bill he was charged a total of $16.50 for text messages. For how many text messages in total was Juan charged on this bill?
Answer:
365 messages
Step-by-step explanation:
x = # text messages)
16.5 = 10 + .10(x - 300)
6.5 = .10x - 30
36.5 = .10x
x = 365
Answer:
365
300+65=365 text messages in total
365 text messages=$16.50
Step-by-step explanation:
6.50/0.10=65
Have a nice day!!
can someone help my lil sister.
Answer:
78
Step-by-step explanation:
Given:
h + 9g
Required:
Evaluate when g = 8 and h = 6
Solution:
Plug in the values of the variables into the expression
Thus,
6 + 9(8)
= 6 + 72
= 78
What are the solutions to 6x²-5x-4=0?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
will give brainliest please help
2x-8y=6
y=-7-x
Answer:
x=-5,\:y=-2 sorry if I'm wrong symbolab
Step-by-step explanation:
Find the volume of the cylinder
Answer:
pi 50 x^4
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
The radius is 5x and the height is 2x^2
V = pi (5x)^2 * 2x^2
V = pi ( 25x^2) (2x^2)
= pi 50 x^4
Answer:
[tex]50\pi x^{5}[/tex]
Step-by-step explanation:
50π[tex]x^{5}[/tex]
Solve for n.
11(12 – 1) + 35 = 311
(0) n =
n = -6
n=-3
n = 3
( n
n = 6
what they are saying is n is 3 so 3+11=14
Step-by-step explanation:
En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answer:
Cuba, Venezuela, Colombia, Mexico
how can i solve this
(x+2)(2x+3)
step by step please
Answer:
2x² + 7x + 6
Step-by-step explanation:
To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).
You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.
(x+2)(2x+3)
2x²+ 3x + 4x + 6
2x² +7x + 6
Answer:
2x^2+7x+6
Step-by-step explanation:
Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.
2x^2+7x+6
(x+2)(2x+3)
First, multiply the variables (x).
(x)(2x) = 2x^2
NOTE: the '^' before a number is used to signify an exponent.Then, multiply the whole numbers (2, 3).
(2)(3) = 6
Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)
(x)(3) = 3x
(2)(2x) = 4x
NOTE: make sure you're multiplying one expression to the other, not multiplying the same expression together.Finally, add them all together, and simplify.
2x^2 + 6 +3x + 4x
=
2x^2+7x+6
the cost of renting a van is $30. An additional $0.89 is charged for each mile, m, the van is driven, Which expression can be used to determine the total cost, in dollars, of renting a van?
Answer:
30 + 0.89m
Step-by-step explanation:
I think this is the correct answer.
Plz help!!!!
Patrick randomly selects a marble from a bag, records the color, and then returns the marble to the bag. After 40 trials, he has recorded 14 red marbles, 12 blue marbles, 10 yellow marbles, and 4 green
marbles.
Which of the following experimental probabilities is correct based on his record?
A.P (not red)=13/20
B.P (not blue) =3/10
C.P (not yellow)=1/4
D.P (not green) = 3/4
Answer:
try A im not sure tho
Step-by-step explanation:
lol sorry if its wrong
please do 81 cookies and distributed 44
Answer:
1.84
Step-by-step explanation:
I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there? Please Explain how you got this answer for brainliest
Answer:
12 different toppings
Step-by-step explanation:
Total combination / (number of syrup * Numbe rod ive cream flavors)
540 / (9*5)
540 / 45
= 12
Your parents give you $10,000. You place it in an account that pays 6.1% annual interest compounded continuously. How much will you have in 20 years? Round the answer to the nearest dollar.
Answer:
$22,200 over all
Step-by-step explanation:
The compound interest after 20 years is $22700.
What is compound interest?Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
For the given situation,
The principle, p = $10,000
Rate of interest, r = 6.1% = 0.061
Compounded continuously, n = 1
Number of years, T = 20
The amount formula of compound interest is
[tex]A=p(1+\frac{r}{n} )^{T}[/tex]
On substituting the above values,
⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]
⇒ [tex]A=10000(1.061)^{20}[/tex]
⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]
The compound interest can be calculated as
[tex]CI=A-P[/tex]
⇒ [tex]CI=32682-10000[/tex]
⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]
Hence we can conclude that the compound interest after 20 years is $22700.
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A room has a measurement of 7.5 m x 9.6 m. If Encik Zaki wishes to lay square tiles
on the floor of the room, what is the biggest size, in cm, of the tiles so that the tiles
will fully cover the entire floor?
Answer:
72
Step-by-step explanation:
The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?
Answer:
54.97
Step-by-step explanation:
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500
Answer:
H) 45,000 + 2,500 x = 54,000 + 1,500x
Step-by-step explanation:
Let the number of years be represented as x
For Jerry
Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,
The equation is
45,000 + 2,500x
Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.
The equation is :
54,000 + 1,500x
The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as
Equation for Jerry = Equation for Victoria
45,000 + 2,500x = 54,000 + 1,500x
Option H is the correct option
A survey of two communities asked residents which candidate they supported for a local election The survey data are shown in the relative frequency table. What percentage of the Cherry Hill residents polled supported Zhang ?
Answer:
about 48%
Step-by-step explanation:
I just took the quiz
The percentage of the Cherry Hill residents polled supported Zhang is 51.61%.
What is a percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
For the given situation,
The relative frequency table shows a survey of two communities asked residents which candidate they supported for a local election.
Candidates supported Zhang in Cherry hill = 0.32
Total candidates in Cherry hill = 0.62
Percentage of the Cherry Hill residents polled supported Zhang is
⇒ [tex]\frac{0.32}{0.62}(100)[/tex]
⇒ [tex]0.5161(100)[/tex]
⇒ [tex]51.61\%[/tex]
Hence we can conclude that the percentage of the Cherry Hill residents polled supported Zhang is 51.61%.
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Find the volume of a pyramid with a square base, where the side length of the
base is 19.3 ft and the height of the pyramid is 16.2 ft. Round your answer
to the nearest tenth of a cubic foot.
Answer:
20.4
Step-by-step explanation:
The answer is 2011.4
Help pls I’m stuck on this question
Answer:
We have 15 Nickels and 10 Dimes.
Step-by-step explanation:
This is a system of equations! [Literally in a class reviewing that rn}
Lets make a chart:
Number of Coins x Value of Coin = Total Value
Dimes | d | 10 | 10d
Nickels | n | 5 | 5n
So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.
The First Equation [Number of Coins]:
D + N = 25
the Second Equation [Value of Money]:
10D + 5N = 175
I will use Elimination to solve this, however, graphing and substitution works too.
ELIMINATION:
Multiply First equation by -5
-5[D + N = 25] = -5D - 5N = -125
Add the Two Equations vertically.
-5D - 5N = -125
10D + 5n = 175
---------------------
5D = 50
Divide both sides by 5.
5D/5 = 50/5
D = 10
Substitute D= 10 In any equation and solve for the other variable.
10 + N = 25
Subtract 10 from both sides.
10 - 10 + N = 25 - 10
N = 15
So, we have 15 Nickels and 10 Dimes.
==================================================================
Hope I Helped, have a Great Day!
-Aadi x
when c is 21 what is the value of a what is the value of b that goes with this value of a
Answer:
I need more info
Step-by-step explanation:
The value of b that goes with this value of a is 15.
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
b = 4a - 5
The values of a and c are given in the table correspondingly.
When c is 21
The value of a = 5 and
The value of b = 4(5) -5 = 15
Hence, the value of b that goes with this value of a is 15.
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(The question given is incomplete, the complete question is given below.)
The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents C as a function of A.
when c is 21 what is the value of a what is the value of b that goes with this value of a
Solve for the unknown angle
Answer:
30
Step-by-step explanation:
Two girls are standing 100 feet apart they both see a beautiful seagull in the air between them the angles of elevation from the girls to the bird are 20 degrees and 45 degrees respectively how high up is the seagull
Answer:
[tex]26.68\ \text{feet}[/tex]
Step-by-step explanation:
a = 100 feet
[tex]\angle B=20^{\circ}[/tex]
[tex]\angle C=45^{\circ}[/tex]
[tex]\angle A=180-(20+45)=115^{\circ}[/tex]
From sine rule we have
[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]
[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]
The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.