Answer:
Step-by-step explanation:
Given twice the perimeter of rectangle =160
Let width of the rectangle=X
So length of the rectangle =4x
2(perimeter of rectangle)=160
2[2(length+width)]=160
4(4x+x)=160
5x=160/4
5x=40
X=40/8
X=5cm
So length of the rectangle =4x
=20cm
Width of the rectangle =X
=5cm.
Length = 4*5 = 20 cm
Width. = 4 cm.
Suppose a random sample of n=330 tenneagers 13 to 17 years of age was asked if they use social media. Of those surveyed, 252 stated that they do use social media. Find the sample proportion of tenneagers 13 to 17 years of age who use social media
Answer:
what is
Step-by-step explanation:
The sample proportion of the teenagers 13 to 17 years of age who use social media is 0.236.
What is a Sample Proportion?Sample proportion is defined as the proportion of something from a given sample which has a particular characteristic.
The formula to calculate the sample proportion is,
p = Number of successes in a particular sample / Sample size
Given that,
a random sample of n = 330 teenagers 13 to 17 years of age was asked if they use social media.
Sample size = 330
Of those surveyed, 252 stated that they do use social media.
We have to find the proportion of teenagers 13 to 17 years of age who use social media.
Number of failures = 252
Number of successes = 330 - 252 = 78
Sample proportion = 78 / 330 = 0.236
Hence the sample proportion is 0.236.
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A donor gives $100,000 to a university, and specifies that it is to be used to give annual scholarships for the next 20 years. If the university can earn 4% interest, how much can they give in scholarships each year?
9514 1404 393
Answer:
$7,358
Step-by-step explanation:
Assuming the interest is compounded annually, the amortization formula is useful here.
A = Pr/(1 -(1+r)^-t)
A is the annual scholarship, P is the principal invested at rate r for t years.
A = $100,000(0.04)/(1 -1.04^-20) = $7,358.18
The university could give $7,358 in scholarships each year.
Delta has 493 stamps to her stamp collection she can put 16 stamps on each page of an album how many pages can she fill completely
Answer:
30 full pages but you would have 13 stamps left
Step-by-step explanation:
Answer: 30 pages
Step-by-step explanation:
PLEASE HELP ME
Describe the graph of the function
[tex]f{x} = x {}^{3} - 18 {}^{2} + 107x - 210[/tex]
Include the y-intercept, x-intercepts, and the shape of the graph.
Answer:
x-intercept= (4.265,0)
y-intercept= (0,-534)
Step-by-step explanation:
The line to the right goes through the point (6, y). If the angle the graph makes with the x-axis is 22°, what is
the y-coordinate of the point to the nearest hundredth?
Answer:
The y-coordinate of the point is approximately 2.42.
Step-by-step explanation:
From the figure attached below the statement we derive the following equation to calculate the y-coordinate ([tex]y[/tex]), dimensionless, of the point in terms of the x-coordinate ([tex]x[/tex]), dimensionless, and angle of the line ([tex]\theta[/tex]), measured in sexagesimal degrees:
[tex]y = x\cdot \tan \theta[/tex] (1)
If we know that [tex]x = 6[/tex] and [tex]\theta = 22^{\circ}[/tex], then the y-coordinate of the point is:
[tex]y = 6\cdot \tan 22^{\circ}[/tex]
[tex]y\approx 2.42[/tex]
The y-coordinate of the point is approximately 2.42.
CONGRUENT TRIANGLES WORKSHEET. NEED ASAP DUE TODAY
Answer:
Congurent triangles are those which map onto them selves perfectly. This means they share the same angle measurements and side lengths. Therefor we can figure out the side lengths by using the information in both triangles.
AD=5x+11
in the congurent triangle, the corresponding side equals:
CM=7x-3
CM and AD are congurent triangles meaning their sidelengths equal the same. Therefore...
5x+11=7x-3
Now we just solve to find the length of AD and CM (equal lengths)
5x+11=7x-3
11=2x-3
14=2x
7=x
x=7
If x=7 then we can plug it in for AD to find the side length.
5(7)+11=46
Notice that CM equals the same 7(7)-3=46
This is because... they are congruent triangles.
These rules also apply for all angle measurements of congruent triangles:
The m<v is equal to the meaasure of E (corresponding angles in congrurent triangles are equal)
We already astablished what x was (x=7) meaning if we find the measure of E then we have the measure of V sicne they are corresponding angles in a congrurent triangle.
(6x7+1)=43°
therefore the m<v is equal to 43°
46 and 43° is your answer
Step-by-step explanation:
gcf and distributive property 24+20
Answer:
4(6 + 5)
Step-by-step explanation:
Given summation:
24 + 20
The greatest common factor:
Factors of:
24 = 1, 2, 3, 4, 6, 8, 12 and 24
20 = 1, 2, 4, 5, 10 and 20
the gcf = 4;
24 + 20 = 4(6 + 5)
This shows the gcf and distributive property
Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x^2 + 4x = - 5 has.
A. one real solution
B. two complex (nonreal) solutions
C. no real or complex solutions
D. two real solutions
Pls help!
Answer:
C.
Step-by-step explanation:
The quadratic equation has two complex (nonreal) solutions option (B) is correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
3x² + 4x = - 5
or
3x² + 4x + 5 = 0
D = b² - 4ac
b = 4, a = 3, c = 5
D = (4)² - 4(3)(5)
D = 16 - 60
D= -44
D < 0
Two complexes (nonreal) solutions
Thus, the quadratic equation has two complexes (nonreal) solutions option (B) is correct.
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Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05?
If it was later determined that it was important to be more than 95% confident and a new survey was commissioned, how would that affect the minimum number you would need to survey? Why?
a. If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
b. If the confidence level is increased, then the sample size would need to decrease because increasing the sample size would create an even larger interval.
c. If the confidence level is increased, then the sample size would need to decrease because we would like the proportion of people who buckle up to be around 50%.
d. If the confidence level is increased, then the sample size would not be affected.
Answer:
The value is [tex]n = 384 [/tex]
The correct option is a
Step-by-step explanation:
From the question we are told that
The margin of error is E = 0.05
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally since the sample proportion is not given we will assume it to be
[tex]\^ p = 0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5) [/tex]
=> [tex]n = 384 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
Generally if the level of confidence increases, the critical value of [tex]\frac{\alpha }{2}[/tex] increase and from the equation for margin of error we see the the critical value varies directly with the margin of error , hence the margin of error will increase also
So If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
The Garcia family and the Johnson family each used their sprinklers last summer. The Garcia family's sprinkler was used for 20 hours. The Johnson family's sprinkler was used for 25 hours. There was a combined total output of 1175 L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55 L per hour?
W is the time Woody family used sprinkler.
C is the time Carter family used sprinkler.
Time used total: 50 hours.
W+C = 50 (1)
Total water used is 1900 L.
Woody family used: 40W;
Carter family used 35C.
Equation showing how much water both families used:
40W + 35 C =1900. (2)
We have a system with two equations and two variables. We can use substitution method to solve the system. From equation (1) we express W:
W=50 - C. (1a)
We substitute the variable in equation (2):
40(50 - C) +35C =1900.
We open the parenthesis
2000 -40C +35C =1900,
We combine like terms
2000 -5C =1900,
We subtract 2000 from both sides of the equation
-5C = 1900 - 2000,
We simplify
-5C = -100,
We divide by -5
C = 20.
We substitute the values of C in the equation (1a) and find the value of W:
W = 50 - C,
W = 50 -20 =30.
The Woody family used water for 30 hours and the Carter family used water for 20 hours.
We check our work to be sure we did not make any mistakes:
Total water used:
40 x 30 + 35 x 20 = 1200 + 700 = 1900 L.
Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?
3(y+1) for y=2
A. 6
B. 9
C. 7
D. 8
Answer:
B
Step-by-step explanation:
3(2+1)
3(3)
9
that how i solved it
Which of the following equations demonstrates the Identity Property of One? A. 3 - 2 = 1 B. 4 • 1 = 14 C. 1 • b = b D. 0 + 1 = 1
In order to write log^(5) 25=2 in exponential form, it is necessary to convert it to the format bx=y.
What are the values of b, x, and y for the above equation?
Enter your answers in the order of b, x, y, separated by commas, like this: 42, 53, 64
A coin is tossed four times what are the odds against the coin showing heads all four times
Answer:
Step-by-step explanation:
The odds for 4 heads = (1/2)^4 = 1/16..
So the odds against is 1 - 1/16 = 15/16.
The odd against the coin showing heads all four times if, A coin is tossed four times is 15 / 16.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
A coin is tossed four times,
Total outcomes = (head or tail) × 4 = 2 × 4 = 16
Total favorable outcomes = head = 1,
Calculate the probability of the coin showing a head all four times as shown below,
Probability = Total favorable outcomes / Total outcomes
Probability = 1 / 16
Calculate the odd against the coin showing heads all four times as shown below,
The odd against the coin showing heads all four times = 1 - The probability of the coin showing a head all four times
The odd against the coin showing heads all four times = 1 - 1 / 16
The odd against the coin showing heads all four times = 15 / 16.
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I got y’all give me he right Awnser and I got brainlest and points !!
Answer:
it's option 3, 1/10. Hope this helps
HURRY PLEASE!!!!
the answer choices are
A. 62
B. 48
C. 132
Answer:
Step-by-step explanation:
a
What is the value of the expression? 28 – 16 ÷ 8 – 4 3 8 22 24
Answer:
28 – 16 ÷ 8 – 4382224 = -4382198
Step-by-step explanation:
Answer:
B. 8Step-by-step explanation:
Simplifying
28 + 12x = 8x + -4
Reorder the terms:
28 + 12x = -4 + 8x
Solving
28 + 12x = -4 + 8x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8x' to each side of the equation.
28 + 12x + -8x = -4 + 8x + -8x
Combine like terms: 12x + -8x = 4x
28 + 4x = -4 + 8x + -8x
Combine like terms: 8x + -8x = 0
28 + 4x = -4 + 0
28 + 4x = -4
Add '-28' to each side of the equation.
28 + -28 + 4x = -4 + -28
Combine like terms: 28 + -28 = 0
0 + 4x = -4 + -28
4x = -4 + -28
Combine like terms: -4 + -28 = -32
4x = -32
Divide each side by '4'.
x = -8
Simplifying
x = -8
There are a total of 32 pieces in a chess set, and 16 of them are pawns. What percent of the chess pieces are pawns?
Answer:
50%
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
32 Divided by 2 equals 16
Tthe area of a circle increases at a rate of 5 cm^2/s.
Required:
a. How fast is the radius changing when the radius is 4 cm?
b. How fast is the radius changing when the circumference is 5 cm?
Answer:
(a) 0.198 cm/s (b) 1 cm/s
Step-by-step explanation:
It is given that,
The rate of change of area of a cicle, [tex]\dfrac{dA}{dt}=5\ cm^2/s[/tex]
(a) The area of a circle is given by :
[tex]A=\pi r^2[/tex]
Differentiate both sides,
[tex]\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\text{Put the value of dA/dt and r = 4 cm}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{2\pi \times 4}\\\\\dfrac{dr}{dt}=0.198\ cm/s[/tex]
(b) Circumference, [tex]C=2\pi r[/tex] = 5 cm
[tex]\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{5}\\\\\dfrac{dr}{dt}=1\ cm/s[/tex]
Hence,
(a) 0.198 cm/s (b) 1 cm/s
It costs $3.45 to buy 34 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? GIVING BRAINLIEST *URGENT*
Answer:
$0.75
Step-by-step explanation:
$3.45 ÷ 34 lb. = $0.10 per pound (rounded)
$0.10 x 7.5 = $0.75
It would cost $0.75 to buy 7.5 lbs of chopped walnuts
I'm sorry if wrong! You are loved and you are beautiful/handsome!
-Bee
bro my teacher be making us do questions and when i search them up they arent answered like tfk ughhh
Megan has three candles of the same length to provide light. Candle a
burns for exactly 72 minutes. Candle b burns twice as fast as candle a . Candle c burns
three times as fast as candle b . What is the greatest total number of minutes of light
that all three candles can provide?
I don’t have one and I’m a sixth grader
Answer:
have one what ?
Step-by-step explanation:
also thats cute. when i was in sixth grade, i was homeschooled.
Answer
Ok good luck in school!
Write a problem in which $180 would be a reasonable answer
Answer:
One person collects $60 in a week what how many money will it have?
Step-by-step explanation:
it cost 13.80 for 5 tickets how much would it cost for 3 tickets
Answer:
$8.28
Step-by-step explanation:
So, first we must find the price per ticket so we do
13.80/5 = 2.76
So the $2.76 per ticket
So now all we do to find the price of three tickets we times the price per ticket by 3
2.76 x 3 = $8.28
Marcos sees a cake advertised as $15 or 2 for $25. What is the difference of the unit rate?
A. 2.50
B. 4.25
C. 10
D. 13
PLEASE HELLP ME FAST
Answer:
A. 2.50
Step-by-step explanation:
25 ÷ 2 = 12.5
15 - 12.5 = 2.50
HELP PLZ AND THANK YOU!:)
The security guard at a movie theater observed that approximately 18% of the
600 cars in the parking lot are from out of state. Which is the best estimate for the
number of cars in the parking lot that are from out of state?
A. 400
C. 200
B. 120
D. 12
Answer:
120
Step-by-step explanation:
18/100 x 600 = 108
estimate = round 18 to 20
20/100 x 600 = 120
HELP!!!
Select the correct answer.
Which equation describes the line graphed above?
A. y = 3/2x - 6
B. y = 2/3x - 6
C. y = 3/2x + 4
D. y = 2/3x + 4
Which are correct representations of the inequality -3(3x-5)<5(2-x)
Answer: x > 5/-4
Step-by-step explanation:
