Answer:
[tex]\frac{193}{15}[/tex]
Step-by-step explanation:
Here
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours. Step 2 of 5 : Approximately how many families are in the sample
Answer:
There are approximately 343 families in the sample.
Step-by-step explanation:
xth percentile:
A measure is said to be in the xth percentile if it is greater than x% of the measures.
Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.
This means that 7% of the sample size n is 24. So
[tex]0.07n = 24[/tex]
[tex]n = \frac{24}{0.07}[/tex]
[tex]n = 342.86[/tex]
Rounding up, there are approximately 343 families in the sample.
. If you walk around a circular path TWICE, and the circle has a diameter of 100 m, how far did you walk in TOTAL?
The total distance traveled was 638.3m.
How to calculate the distance traveled?To calculate the perimeter of a circle we perform the following operations:
We must keep in mind that the radius of a circle is equal to half the diameter, so the radius of this circle is 100m divided by 2.
100m ÷ 2 = 50mSo the radius of this circle is 50m.
Subsequently, to find the perimeter of the circle we apply the following formula:
2 × π × radius of the circle = perimeter of the circle.2 × 3.14 × 50 = 314.15mAccording to this operation, the distance traveled in one lap would be 314.15m. So in two turns it would be:
314.15m × 2 = 638.3m
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Please describe the process for solving for measure of angle # 7 WITHOUT USING NUMERIC VALUES
Answer:
it would be 50° i think but im not positive
Please help and solve; big points
3/2 ∜(2(x-6)^3 )+4=16
Answer:
x ≈ 18.7
Step-by-step explanation:
This is a big equation, so let's break it down a bit.
[tex]\frac{3}{2} \sqrt[4]{(2(x-6) ^3 )} +4=16[/tex]
Let's start by isolating the radical which is x.
So subtract 4 from both sides :
[tex]\frac{3}{2} \sqrt[4]{(2(x-6) ^3)}[/tex][tex]=12[/tex]
Now multiply both sides by 2 to get rid of the fraction :
[tex]3\sqrt[4]{(2(x-6)^3)} = 24[/tex]
Now divide both sides by 3 to get rid of the number out of the poly root :
[tex]\sqrt[4]{2(x-6) ^3}[/tex][tex]=8[/tex]
Now take both sides of the equation to the power of 4 :
[tex]2x^3 - 36x^2+216x-432=4096[/tex]
And lastly, solve :
[tex]x = 18.69920[/tex] which is rounded up to [tex]x[/tex] ≈ [tex]18.7[/tex]
Use the grouping method to factor 2x3 + 6x2 - 7x- 21.
O A. (x - 3)(x + 7)
O B. (x+3)(2x2 - 7)
C. 2x(x + 3)(x - 7)
O D. (x - 3)(2x2 + 7)
Answer:
B. (x+3)(2x2−7)
Step-by-step explanation:
2x3 + 6x2 - 7x- 21
(2x3+6x2)(-7x-21)
2x2(x+3)-7(x+3)
(x+3)(2x2-7)
4x +1 =2x + 5
Need the answer please explain in detail because I’m writing a half page on how to solve it
Answer:
x=2
Step-by-step explanation:
4x+1=2x+5
-2x -2x
2x+1=5
-1 -1
2x=4
2x/2
4/2
x= 2
sorry I didn't explain better but here
2x - x + 7 = x + 3 + 4
Answer:0
Step-by-step explanation:
Simplifying
2x + -1x + 7 = x + 3 + 4
Reorder the terms:
7 + 2x + -1x = x + 3 + 4
Combine like terms: 2x + -1x = 1x
7 + 1x = x + 3 + 4
Reorder the terms:
7 + 1x = 3 + 4 + x
Combine like terms: 3 + 4 = 7
7 + 1x = 7 + x
Add '-7' to each side of the equation.
7 + -7 + 1x = 7 + -7 + x
Combine like terms: 7 + -7 = 0
0 + 1x = 7 + -7 + x
1x = 7 + -7 + x
Combine like terms: 7 + -7 = 0
1x = 0 + x
1x = x
Solving
1x = x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
1x + -1x = x + -1x
Combine like terms: 1x + -1x = 0
0 = x + -1x
Combine like terms: x + -1x = 0
0 = 0
Simplifying
0 = 0
The solution to this equation could not be determined.
Leon bought 3 slices of pizza for himself and his friends. He spent a total of $7.50. Let p represent the price of one slice of pizza. Write an Algebraic Equation for the situation. Solve the Equation.
Plz do a step by step with the question
this will be for 35 points
Answer:
3p = 7.50 its something like that but hoped this helped
Step-by-step explanation
7.50 divided by 3
2.50
p= 2.50
Write equivalent fraction with the given denominator.
Answer:
20/10
Step-by-step explanation:
2x10=20
Answer:
2 = 20/10
Step-by-step explanation:
The problem wants you to write a fraction that is equalavent to 2, but that has 10 as the denominator. I chose 20, because 2 x 10 = 20.
If n<5, then n<3 true or false pls help me?!?
Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.
Which of the following is the correct interpretation of the p -value?
a. If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.
b. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.
c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
d. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.
e. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.
Answer:
C) If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Step-by-step explanation:
The direction of the test is to the right of 0.15, because the researchers hypothesize that the proportion in region B is greater than the proportion in region A. The p-value is the probability of observing a sample difference of at least 0.15 if the null hypothesis is true.
You can use the fact that the p-value denotes the probability of the area to the right of the test statistic and symmetrically to the left(if the test is two tailed, else its just on the right tail)
The option that is the correct interpretation of the p-value is:
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34
What does p value shows in the hypothesis testing?A p value helps us to decide whether to accept or reject the null hypothesis. If the obtained p value is smaller than the level of significance, then we reject the null hypothesis else we accept it.
The p value shows the area to the right of the test statistic(in the right tail after the plot of test statistic on the x axis)
It shows both right and left tail symmetrically if the test is two tailed.
Since the test statistic is difference between the sample proportions and the alternate hypothesis is testing if the difference is greater than 0.15 or not. Thus, it is single tailed test.
Due to this, the p value is showing if the test statistic is 0.15 or to the right which is higher that 0.15 thus, p value is showing the probability that the test statistic is at least 0.15 is given by 0.34
Thus,
Option c. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.
Learn more about p value here:
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find the LCD for each set of rational expressions.
x/2x + 16 and -4x/3x - 27
please help!! fast!!
I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answer:
6.07
Step-by-step explanation:
Question 6 (1 point)
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to
the Sun. In the image, d represents the distance from a star to the Sun. Using a technique called "stellar parallax,"
astronomers determined is 0.00001389 degrees. How far away is the star from the Sun in astronomical units? Show your
reasoning
NOT TO SCALE
Sun
d
star
0
1
Earth
I
Answer:4124966.126
Step-by-step explanation:
Distance between star from the sun is d = 4124966.128 AU
What is Trigonometry?
Trigonometry is the branch of mathematics that deals with particular angles functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle.
The astronomical unit distance between the star and the Sun can be calculated using the trigonometric function.
As per the given data:
distance from Earth to the Sun (P) = 1 AU
θ = 0.00001389 degrees
From tanθ:
tanθ = P/B
{P = perpendicular and B = base}
From the diagram:
tanθ = 1/d
tan(0.00001389) = 1/d
d = 1/tan(0.00001389)
d = 4124966.128 AU
The separation between the sun and the star is d = 4124966.128 AU.
To learn more on, Trigonometry:
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1) What number comes after 234 base 5. Explain
2)What number comes before 210 base 5. Explain
9514 1404 393
Answer:
1) 240
2) 211
Step-by-step explanation:
The counting sequence in base 5 is similar to that in base 10, except the digits 5 through 9 are not used. The first few counting numbers are ...
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, ...
When 1 is added to 4 in the units place, a carry to the fives place is generated and the units digit is returned to zero.
234₅ +1 = 240₅
210₅ +1 = 211₅
? how do I do this problem
Answer:
if im not wrong, youd distribute first.. check below !!
Step-by-step explanation:
5 (x - 3) > 15
5x - 15 > 15
5x > 30
5x/5 > 30/5
x > 6 !!!
i hope this helps !!!
What could you divide and then multiply by to go from the first number to the second?
{First number: } 99 {Second number:) 143
Step-by-step explanation:
To get 1 , divide 99 by 99. From 1, multiply by 143 to get 143
or
in a single step, multiply 99 by 1/99 to get to 143
Hope it will help :)
HELP PLEASE
answer choices:
A)
The graph is reflected across the x-axis.
B)
The graph is translated 2 units in the positive x-direction.
C)
The graph is vertically shrunk by a factor of ½.
D)
The graph is reflected across the y-axis.
Answer:
I think its C. I'm not sure I havent been thought this lesson.
Answer:
B)
The graph is translated 2 units in the positive x-direction.
Step-by-step explanation:
i just got it right on the test
The radius of a circle is 4 m. Find its area in terms of \piπ.
Answer:
50.3
Step-by-step explanation:
A=πr2=π·42≈50.26548
help meh with this thanks
Answer:
1/2 = 2/4 so:
1/2+1/4 = 2/4+1/4= 3/4
0.5(5x - 2.2 )
Expand the expression
Answer:
2.5x - 1.1
Step-by-step explanation:
0.5 x 5x = 2.5x
0.5 x 2.2 = 1.1
I hope this helps! :)
Which expression is equivalent to (8x - 1) (4x + 3) ?
Answer:
A
Step-by-step explanation:
multiplying both the equation
Find the distance between A and B.
Ahh I need help
what are the options please ?
someone help solve this! f + 1 1/2 = 4 1/4
f= ?
Answer:
2 1/4
Step-by-step explanation:
6) How are a parallelogram and a trapezoid different?
A A trapezoid has ony 1 pair of parallel sides, but a paralelogram has 2.
C.B.A parallelogram has 4 right angles, but a trapezoid doesn't need to have 4 right
angles
CA parallelogram has only 1 pair of parallel sides, but a trapezoid has 2
D A trapezoid has 4 night angles, but a parallelogram doesn't need to have 4 night
angles
Answer:
aa the first one
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Linda needs to come up with a 10 percent down payment on a house priced at $127,400.
How much money does she need to have saved?
Answer:
$12,740
Step-by-step explanation:
127,400 x .10 = 12,740
10% = 0.10
Graph the line.
y=4/3x
Answer:
Start from (0,0) and do rise over run
Step-by-step explanation:
Rise 4
Run 3
For the III (3rd) quadrant use
Rise -4
Run -3
Answer the question plz
Answer:
1) A- 95
2) B- 125
Step-by-step explanation:
1) 50 + 35+x = 180
85 +x = 180
x = 180- 85
= 95
2) 70 +80 + 85+d = 360
235 + d = 360
d = 360 - 235 = 125
I Hope im right!
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
x = 122
Step-by-step explanation:
An exterior angle of a triangle = sum of the other two interior angles.
x = 90 + 32
x = 122
Write the equation of the line in slope intercept form equation of the line in slope intercept form is blank
Answer:
y=70x+20
Step-by-step explanation:
Okay so the slope is determined by having two points on the line in this case one of them is (0,20) and (2,160), you're going 140 up and 2 over so the slope would be [tex]\frac{140}{2}[/tex] which equals 70 so thats how you get m, to get b you simply put the y interecept which is at 20.
Plugs those numbers together you get y=70x+20 which is intercept form.