Answer:
Amount A = RS 1,000
Step-by-step explanation:
Given:
5% of sum amount is RS 50
Find:
Amount
Computation:
Assume;
Unknown Amount = A
A x 5% = 50
A = 50 / 5%
A = 50 / 0.05
Amount A = RS 1,000
Solve for the unknown angle
Answer:
30
Step-by-step explanation:
- SWIMMING POOLS A swimming pool is 30 feet long by
12 feet wide by 4 feet deep. A cubic yard of water is
27 cubic feet. How many cubic yards of water can the
pool hold? Round to the nearest tenth.
M
Answer:
- SWIMMING POOLS A swimming pool is 30 feet long by
12 feet wide by 4 feet deep. A cubic yard of water is
27 cubic feet. How many cubic yards of water can the
pool hold? Round to the nearest tenth.
M
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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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!
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
The probability of an event is 0.28. Describe the likely hood of the event
Answer:
Step-by-step explanation
Remark
The likelihood of an event happening is 28 times out of a hundred.
The chances of it not happening is 72 chances out of a hundred.
Answer:
Unlikely!
Step-by-step explanation:
Hello! Can someone help me with this!!
Answer:
nope u dont need to buy more
Step-by-step explanation:
u have 1/2 cup after spilling but the recipe only needs 1/3 which is less
if money savings account earned 8% interest per annum, how much interest would be earned on 150.00 over 3 years?
Answer:
$36
Step-by-step explanation:
Use the simple interest formula, I = prt
Plug in the interest rate, original amount of money, and number of years:
I = prt
I = (150)(0.08)(3)
I = 36
So, $36 in interest would be made
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...
Kai needs to solve the equation x2 - 6x - 16 = 0 by completing the square. Which pair of steps is the most efficient way to begin?
Step-by-step explanation:
[tex] {x}^{2} - 6x - 16 = 0[/tex]
[tex] {x}^{2} - 6x = 16[/tex]
[tex] {x}^{2} - 6x + 9 = 16 + 9[/tex]
There two ways you can go this route.
Route 1
[tex](x - 3) {}^{2} = 25[/tex]
[tex](x - 3) {} = 5[/tex]
[tex]x = 8[/tex]
And
[tex]x - 3 = - 5[/tex]
[tex]x = - 2[/tex]
The roots are 8,-2
Answer:
x=-2,8
Step-by-step explanation:
x2 - 6x - 16 = 0
x²-8x+2x-16=0
x(x-8)+2(x-8)=0
(x-8)(x+2)=0
either
x=8
or
x=-2
two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
What is the length of AB?
Answer:
angle B'CA'= angle BCA..... (common angle)
angle B'A'C = angle BAC.....(corresponding angels)
therefore,
ΔCB'A' ~ ΔCBA. ......(by A-A test of similarity)
therefore,
B'A'/ BA. = CA'/ CA....(congruent sides of congruent triangles)
now, B'A' = 5, CA'= 6 , CA = 6 + 3 = 9
5 / BA. = 6 / 9
therefore, 5 / BA. = 2 / 3
[tex]ba \: = \frac{5 \times 3}{2 } \\ = \frac{15}{2} \\ = 7.5[/tex]
Answer : AB = 7.5 units
En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answer:
Cuba, Venezuela, Colombia, Mexico
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 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
find ∠OQR ∠RST ∠TRQ
∠ROQ = 48
Answer:
Given∠ROQ = 48°Find∠OQR, ∠RST, ∠TRQSolutionWe see that SR is a diameter, therefore Δ SRT is right triangle with ∠STR = 90°
∠ROQ, ∠RST and ∠TRQ all intercept the same arc RT
∠ROQ is twice the ∠RST and ∠TRQ as the central angle:
∠RST = ∠ROQ = 2*∠TRQ ⇒ ∠RST = ∠TRQ = 48°/ 2 = 24°PQ is tangent to circle, therefore:
PQ⊥SR ⇒ ∠OQR = 90°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 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
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
Which equation represents a line which is parallel to the line 7x+2y=-8
Answer:
y = -7/2x +17
Step-by-step explanation:
First, lets put the original equation into slope intercept form which is y=mx+b
7x + 2y = -8
subtract 7x on both sides
2y = -7x -8
divide by 2 on both sides
y = -7/2x - 8/2
y = -7/2x - 4
now we can plus in any x and y values to get a new b, which is our y intercept.
lets use (4,3)
Also, since they are parallel, their slope (m) will be the same.
y = -7/2x + b
3 = -7/2(4) + b
3 = -14 + b
b = 17
lets plug in our new b into our original equation
y = -7/2x + 17
The value of [y] = 7 and that of [x] = 6.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written to express proportional relationship as -
y = kx {k is constant}
We have a equation that represents a line as -
7x + 2y = - 8
We can write -
7x + 2y = - 8
2y = - 7x - 8
y = (-7/2)x - 4
Options are not given, so the line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8
Therefore, line whose slope will be (-7/2) will be parallel to the given line with equation 7x + 2y = - 8
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Find the value of X.
A deck contains these cards of the same size and shape.
• 5 green cards
4 red cards
2 orange cards
. 1 blue cards
Len will randomly select one card from the deck, not replace it, and then randomly select a second card. Which two fractions could be placed in the boxes to represent the probability he
will select a blue card and then a red card?
Step-by-step explanation:
Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)
So,
1. Probability of getting blue card is 1/12
2. Probability of getting a red card is 2/12=1/6
hope it helps
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 :)
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
6. The domain of the function (x) = 13x - X
is given as {-2. -1, 0, 1, 2). What is the
range? Show your work.
Answer:
i have the same question
Step-by-step explanation:
i have the same question
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!!
A road is inclined at an angle of 5°. After
driving 5,328 feet along this road, find the
driver's increase in altitude Round to the
nearest foot
Answer:
464feet
Step-by-step explanation:
USing the SOH CAH TOA identity
Hypotenuse = 5,328feet
Angle of elevation - 5 degrees
Required
Opposite = x
Since
Sin theta = opp/hyp
sin 5 = x/5,328
x = 5,328sin5
x = 464.36
x = 464feet to the nearest foot
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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Seven friends go out for dinner and the bill for food and drink comes to £140 the friends decide to add a 5% tip on top of this total if they divide the expense equally between them how much does each friend pay
Answer:
21 pounds
Step-by-step explanation:
bill is 140 pounds, plus 5 tax means the total amount to pay is (1.05x140)=147 pounds.
Amount per friend = 147/7 = 21 pounds per friend.
Answer:
21
Step-by-step explanation:
This is just a confirmation answer
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