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Related Questions
What voltage is required to force 4.5 amperes of current through an electric iron having a resistance of 25.5 ohms
Answers
Answer:
V = 114.75 Volts
Step-by-step explanation:
Ohm's Law V = IR
I = 4.5 A
R = 25.5 Ω
V = (4.5)(25.5)
V = [4×25.5] + [0.5×25.5]
V = 102 + 12.75
V = 114.75 Volts
what percent of 80 is 60
Answers
It is 75%.
Hope this helps.
We can write the complete statement as -
75% of 80 is equivalent to 60.
How can we represent "a% of b"?We can represent "a% of b" as -
a% of b = a/100 x b
a% of b = ab/100
So, a% of b = ab/100
Given is to find what percent of 80 is 60.
Assume that {x}% of 80 is equivalent to 60. So, we can write -
60 = x% of 80
60 = {x}/100 x 80
60 = 80x/100
60 = 8x/10
x = 600/8
x = 75
So, we can write that
75% of 80 is equivalent to 60.
Therefore, we can write the complete statement as -
75% of 80 is equivalent to 60.
To solve more questions on percentage, visit the link below-
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The Pythagorean Identity states that (sin x)^2 + (cos x)^2 = 1 Given cos 0 = 7/4 find sin 0. Simplify the fraction.
Answers
Answer:
sin∅=3/4
Step-by-step explanation:
sin²x+cos²x=1
sin²x+(√7/4)²=1
sin²x+7/16=1
sin²x=9/16
sinx=3/4
Therefore, sin∅=3/4
The table represents some points on the graph of a linear function.
What is the slope of the graph of the linear function?
Answers
Answer:
1 over 2
Step-by-step explanation:
9-(-7)=-2
-8-(-4)-4
-6-(-3)=-3
-2-4=-6
When you simplify both of the fractions -2 over -4 and -3 over -6
You get 1 over 2 as the slope for both. 1/2
An amusement park is open May through September. The table shows the attendance each month as a portion of the total attendance. How many times more guests visit the amusement park in the busiest month than in the least busy month?
Answers
Answer:
may 90/100
june 32/100 multiply by 4
july 22/100
august 29/100
September 8/100 multiply by 4
i didnt understand the quastion but least means the Lowest number that mean the answer is september
-12+2(-4)-7= help me understand how to figure out how to get this answer
Answers
Answer:
- 27
Step-by-step explanation:
- 12 + 2( - 4) - 7
- 12 - 8 - 7
-20 - 7
- 27
This dot plot is not symmetric, and the data set has two
extreme values.
.
2
3
4
6
7
8
9 10
What is the best measure of center for this dot plot?
A. The median
B. The mean
C. The mean absolute deviation (MAD)
D. The interquartile range (IQR)
Answers
Answer:
um sorry if I'm wrong....C?
Step-by-step explanation:
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answers
Answer:
$346.5
Step-by-step explanation:
10% of $550 is 55
3*55 = 165
550 - 165 = $385
10% of $385 is 38.5
385 - 38.5 = $346.5
Have a nice day! :-)
Somebody Please help!!!
Answers
Answer:
176
Step-by-step explanation:
8+8+64+64+16+16
Mr. Thompson is buying rulers for his class.
Which option gives Mr. Thompson the best price per ruler?
A. 4 rulers for $1.00
B. 50 rulers for $15.00
C. 100 rulers for $20.00
D. 200 rulers for $30.00
Answers
Answer:
D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.
Step-by-step explanation:
A: 1 Ruler for $0.25
B: $0.30
C: $0.20
D: $0.15
Katy put $3000 into his bank account. If the account pays 6% interest compounded continuously, when will it be worth $6000? Round to 3 decimal places.
Answers
Answer:
11.55 years
Step-by-step explanation:
Given data
Principal= $3000
Rate= 6%
Final Amount= $6000
expression for the time is given as
t = ln(A/P) / r
Substitute
t= ln(6000/3000)/0.06
t= ln(2)/0.06
t= 0.693/0.06
t= 11.55 years
Hence the time is 11.55 years
quadratic equation whose vertex is (2,3) and y intercept is 11
Answers
Answer:
y = 2(x - 2)² + 3 vertex form
y = 2x² - 8x + 11 standard form
Step-by-step explanation:
Vertex form
y = a(x - h)² + k
(h, k) = (2, 3)
y = a(x - 2)² + 3
To find "a" plug in the y-intercept (0, 11)
11 = a(-2)² + 3
11 = 4a + 3
Subtract 3 from both sides
8 = 4a
a = 2
y = 2(x - 2)² + 3
Expand
y = 2(x² - 4x + 4) + 3
y = 2x² - 8x + 11
Drag numbers into the blanks to rewrite the square roots.
square root -5 (it doesnt let me put the symbol. whats the answer?
Answers
Answer:
Step-by-step explanation:
for a lot of math classes they just tell you "don't take the square root of a negative number" Then when you see this [tex]\sqrt{-5}[/tex] it looks all wrong. But, just think of the two things under the radical as
[tex]\sqrt{-1*5}[/tex]
now, take the -1 out of the square root as " i "
i[tex]\sqrt{5}[/tex]
and if you want to put it into correct complex form
0 + i[tex]\sqrt{5}[/tex]
i need assistance please
Answers
The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?
Answers
Answer:
1.5 feet
Step-by-step explanation:
V = base area x height
divide the two members by the base area
height = V/ base area
height = 13.5 / 9 = 1.5 feet
Find the volume of the cylinder. Round your answer to the nearest tenth.
Answers
Answer: 125.6 inches cubed.
Step-by-step explanation:
Formula for cylinder volume: Volume=(pi times radius cubed) times height
3.14 x 4(radius)=12.56
12.56 x 10 (height) = 125.6
Hope this helps
19 students were surveyed on the number of hours of Netflix they watched last week.
The data from the survey is below:
{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}
What is the range in hours spent watching Netflix?
Show your work for full points!
Answers
Answer:
Solution given:
lowest =0
highest=11
the range in hours spent watching Netflix=
highest-lowest =11-0=
Range is 11.
Answer:
Solution : here ,
lowest = 0
Highest = 11
the range in hours spent watching Netflix
=highest — lowest
= 11 —0
= 11
the range = 11
hope it is helpful to you
3360832553 ____ pass___ wZE2XQ
Answers
Answer:
what is this?
Step-by-step explanation:
if you elaborate I am more then happy to help
Answer:
.
Step-by-step explanation:
What is the probability that I will roll a 4 on a standard number cube?
Answers
Answer:
the probability of rolling any single digit on a 6-sided fair cube is 1/6
find the slope(4,9),(1,6)
plz help
Answers
Answer:
slope: m = 1
Step-by-step explanation:
What is the solution to the equation √8x = √4+2x?
Answers
Answer and Step-by-step explanation:
The first step in solving for x is to square both sides.
8x = 4 + 2x
Now, subtract 2x from both sides.
6x = 4
Now, divide each side by 6.
x = [tex]\frac{4}{6} = \frac{2}{3}[/tex]
x = [tex]\frac{2}3}[/tex] is the answer.
#teamtrees #PAW (Plant And Water)
A computer company wants to determine the proportion of defective computer chips from a day's production. A
quality control specialist takes a random sample of 100 chips from the day's production and determines that there
are 12 defective chips. Assuming all conditions are met, he constructs a 95% confidence interval for the true
proportion of defective chips from a day's production. What are the calculations for this interval?
12 +1.65)
12(1-12)
100
O 12 +1.964
12(1-12)
100
0.0.12 +1.65
0.12(1-0.12)
100
0.12(1 -0.12)
O 0.12 +1.967
100
Answers
Answer:
0.12 ± 1.96 * √(0.12(0.88) / 100)
Step-by-step explanation:
Confidence interval :
Phat ± Zcritical * √(phat(1 -phat) / n)
Phat = 12/100 = 0.12
1 - phat = 0.88
Zcritical at 95% = 1.96
Hence, we have :
0.12 ± 1.96 * √(0.12(0.88) / 100)
0.12 ± 1.96 * 0.0324961
0.12 ± 0.0636924
Lower boundary = (0.12 - 0.0636924) = 0.0563
Upper boundary = 0.12 + 0.0636924 = 0.1837
The calculations for 95% confidence interval for this case is given as: [tex]CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
How to find the confidence interval for proportion with large sample ?For large enough sample( size > 30), let the population proportion of a quantity be denoted by random variable [tex]p[/tex]
Then, we get:
[tex]p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})[/tex]
where
[tex]\hat{p}[/tex] = estimated(mean value) proportion of that quantity
and n = size of sample drawn.
It is visible that as we increase the value of n, the standard deviation decreases, therefore, forcing the values of population proportion to be closer to the estimated proportion.
Margin of error is the distance between the mean and one of the end point of the confidence interval(assuming its equal on both the sides of the mean). The margin of error with level of significance [tex]\alpha[/tex] is calculated as:
[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
where [tex]Z_{\alpha/2}[/tex] is the critical value of the test statistic for level of significance [tex]\alpha[/tex]
The confidence interval is then calculated as:
[tex]CI = \hat{p} \pm MOE[/tex]
For the considered case,
the confidence interval is to be found for 95% confidence, therefore,
level of significance = 100% - 95% = 5% = 0.05
At this level of significance, the critical value of test statistic Z is 1.96The sample size given is n = 100The estimated proportion of defective chips estimated from sample is:
[tex]\hat{p}[/tex] = Fraction of defective chips to total chips = 12/100 = 0.12Thus, we get the confidence interval for this case as:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
Thus, the calculations for 95% confidence interval for this case is given as: [tex]CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}[/tex]
Learn more about confidence interval for sample proportion here:
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Suppose that 40% of cars in your area are manufactured in the U.S., 30% in Japan, 10% in Germany, and 20% in other
countries. Determine the following probabilities.
a. a car selected at random is made in Germany or Japan
b. a car selected at random is not US-made
c. two cars are selected at random, both are from Japan
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include
your calculations in your answer.
Answers
Answer:
A) The probability that a randomly chosen car is made in Germany or Japan is 40%.
B) The probability that a car chosen at random is not made in the United States is 60%.
C) The probability that two randomly chosen cars are both from Japan is 9%.
Step-by-step explanation:
Supposing that 40% of cars in my area are manufactured in the US, 30% in Japan, 10% in Germany, and 20% in other countries, to determine the probabilities that a car selected at random is made in Germany or Japan, a car selected at random is not US-made and two cars are selected at random, both are from Japan, the following calculations must be performed:
A)
(30 + 10) / 100 = X
40/100 = X
0.4 = X
Therefore, the probability that a randomly chosen car is made in Germany or Japan is 40%.
B)
(30 + 10 + 20) / 100 = X
60/100 = X
0.6 = X
Therefore, the probability that a car chosen at random is not made in the United States is 60%.
C)
10/30 x 10/30 = X
0.3 x 0.3 = X
0.09 = X
Therefore, the probability that two randomly chosen cars are both from Japan is 9%.
Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.
On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 2, negative 1), and goes through (negative 1, 0). A vertical dashed line at (negative 2, 0) is parallel to the y-axis.
Which best describes the error in the graph?
The axis of symmetry should be x = –1.
The axis of symmetry should be x = 2.
The vertex should be a maximum.
The vertex should be (–2, 1).
Answers
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation:
:)
We have given that the function y = - (x + 2)² - 1. So, The axis of symmetry should be x=2 describing the error in the graph.
What is the vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This point (h,k) is called the vertex of the parabola that the quadratic equation represents.
We have given that the function y = - (x + 2)² - 1
so we have a =-1,
-h=2 implies that h=-2
k=-1
Therefore the vertex is (h,k)=(-2,-1)
vertex = (- 2, - 1)
The axis of symmetry passes through the vertex, is vertical with the equation
x = - 2 is correct.
When the a > 0, the vertex is a minimum
when a < 0, implies that vertex is a maximum
here a=-1 < 0 implies vertex should be a maximum
Since, the vertex(-2,-1) is maximum
Therefore the axis of symmetry should be x=2 to represent error in the graph.
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If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number
Answers
Answer:
Step-by-step explanation:
x-4/4=x/6+1
x-4 =4/6x+4
x-2/3x =8
1/3x =8
x=24
Find the volume of the cube below
Answers
Select the ratio equivalent to tan(A).
A. 5/13
B. 5/12
C. 13/12
D. 12/5
Answers
Plz help this is urgent
Answers
Answer:
D
Step-by-step explanation:
A school counselor heard that teenagers sleep an average of 9 hours per night on the weekend. The counselor
wants to test if this figure holds true for students at their school, so they take a random sample of students and
ask them about their weekend sleep habits.
Let u represent the average amount of sleep that students at this school get per night on the weekend.
Which of the following is an appropriate set of hypotheses for their significance test?
Answers
Answer:
H0:μ=9 hours Ha:μ not equal to 9 hours
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
geometry help pleaseeee
Answers
Answer: 11
Step-by-step explanation:
[tex]48=4x+4[/tex] (angles opposite congruent sides in a triangle are congruent)
This gives that x = 11