Answers
Related Questions
Consider the following sample of fat content of n=10 randomly selected hot dogs
Answers
The average fat content of the ten hot dog samples is: 21.91
How to calculate the average fat of hot dog samples?To calculate the average fat of the hot dog samples we must add all the values and divide the result by the number of values as shown below:
25.2 + 21.3 + 22.9 + 17.0 + 29.8 + 21.0 + 25.5 + 16.0 + 20.9 + 19.5 = 219.1219.2 ÷ 10 = 21.91Note: This question is incomplete because there is some information missing. Here is the complete information:
Question: What is the average fat of the hot dogs?
Hot Dogs' fat
Sample 1: 25.2
Sample 2: 21.3
Sample 3: 22.9
Sample 4: 17.0
Sample 5: 29.8
Sample 6: 21.0
Sample 7: 25.5
Sample 8: 16.0
Sample 9: 20.9
Sample 10: 19.5
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QUESTION IS DOWN BELOW WORTH 30 POINTS
Answers
Answer:
395.84
Step-by-step explanation:
V=πr2h=π·3^2·14
3 A bag contains red and blue marbles, such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. What is the probability that both of the marbles drawn are blue? a. b. $ 24% * 39% C. d 0 14% 3 A bag contains red and blue marbles , such that the probability of drawing a blue marble is 8 An experiment consists of drawing a marble , replacing it , and drawing another marble . The two draws are independent . What is the probability that both of the marbles drawn are blue ? a . b . $ 24 % * 39 % C. d 0 14 %
Answers
Answer:
My answer: B
Step-by-step explanation:
The probability mass function of random variable X which represents the number of blue marbles drawn in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
The probability of drawing exactly one blue marble = 0.46875
Complete Question
A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.
To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.
Probability of drawing a blue marble = P(B) = (3/8)
Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)
- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625
- Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)
= (3/8) × (3/8) = (9/64) = 0.140625
The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.
X | P(X)
0 | 0.390625
1 | 0.46875
2 | 0.140625
b) Probability of drawing one blue marble in 2 draws with replacement
= [P(B) × P(B')] + [P(B') × P(B)]
= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875
So, B is the answer.
Which rule describes the composition of transformations that maps ΔDEF to ΔD''E''F''?
R0,90° ∘ T5,0(x, y)
T–5,0 ∘ R0,90°(x, y)
T5,0 ∘ R0,90°(x, y)
R0,90°(x, y) ∘ T–5,0
Answers
The transformations rule for changing DEF into D"E"F is
(b) T-5,0-RO. 90° (x,y)
Which rule describes the composition of transformations that maps ΔDEF to ΔD''E''F''?To transform a shape is to alter its dimensions and relative placement.
To convert from DEF to D"E"F, use this rule:
(b) T-5,00 RO, 90°(x, y)
From the complete question,
When DEF is spun 90 degrees counterclockwise, it becomes GH.
Then, 5 units were subtracted from the right and translated to the left.
Assume a rotation of 90 degrees counterclockwise, and write it as:
RO, 90°(x,y)
As a symbol, the leftward translation of 5 units looks like this:
T-5,0(x,y)
When both transformations are combined, we have:
T-5,0 R0.90° (x. y)
In conclusion, the transformations rule for changing DEF into D"E"F is
(b) T-5,0-RO. 90° (x,y)
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Perimeter and area
What is the area of the square, circle, and shaded region?
A)
B)
C)
Answers
(a) The side length of the square is 8 m, so its area is 64 square m.
(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.
(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.
If f(x)...............
Answers
Answer:
The inverse is 5x-6
Step-by-step explanation:
To find the inverse of a function
y = ( x+6) /5
Exchange x and y
x = ( y+6)/5
Solve for y
Multiply each side by 5
5x = (y+6)/5 *5
5x = y+6
Subtract 6 from each side
5x-6 = y+6-6
5x-6 =y
The inverse is 5x-6
Step-by-step explanation:
[tex]f(x) = \frac{x + 6}{5} [/tex]
[tex] \: [/tex]
[tex]y = \frac{x + 6}{5} [/tex]
[tex] \frac{y + 6}{5} = x[/tex]
[tex]y + 6 = 5\times x[/tex]
[tex]y + 6 = 5x[/tex]
[tex]y = 5x - 6[/tex]
[tex] {f}^{ - 1} (x) = 5x - 6[/tex]
The answer is D.
A support cable for a 56-foot tower forms a 67° angle with the ground.
What is the length of the cable to the nearest foot?
56 ft.
61 ft.
60 ft.
75 ft.
Answers
to find the length of the cable, you need to use trigonometry. So you have 56ft as the opp of 67degree and cable as hypotenuse of 67degree.
thus Sin(67)=OPP/HYP
=56/HYP
HYP=56/Sin(67)
=60.83618113
=61 ( nearest foot )
Therefore Ans: 61ft
32y+54x+56=y what is y
Answers
is this the kind of thing youre looking for?
explanation:
9. Find the value of the
underlined digit in the
following number.
739,485
Answers
Answer:
There's no underlined digit
Answer:
See below
Step-by-step explanation:
3 is in the 10 000 place = 30 000
( just put zeroes in place of all of the following numbers)
A Pew Research study finds that 23% of Americans use only a cell phone, and no land line, for making phone calls (The Wall Street Journal, October 14, 2010). A year later, a researcher samples 200 Americans and finds that 51 of them use only cell phones for making phone calls. Test whether the proportion of Americans who solely use cell phones to make phone calls differs from 23%. Use the .05 level of significance.
Answers
Using the z-distribution, it is found that since the p-value is greater than 0.05, the proportion does not differ from 23%.
What are the hypotheses tested?At the null hypotheses, it is tested if the proportion is of 23%, that is:
[tex]H_0: p = 0.23[/tex]
At the alternative hypotheses, it is tested if the proportion differs from 23%, hence:
[tex]H_1: p \neq 0.23[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.The parameters are given as follows:
[tex]p = 0.23, n = 200, \overline{p} = \frac{51}{200} = 0.255[/tex]
The value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.255 - 0.23}{\sqrt{\frac{0.23(0.77)}{200}}}[/tex]
z = 0.84.
Using a calculator and considering a two-tailed test, as we are testing if the proportion is different of a value, with z = 0.84, the p-value is of 0.4.
Since the p-value is greater than 0.05, the proportion does not differ from 23%.
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Evaluate a=5 and y= -7 for y-2a
Answers
Answer: -17
Step-by-step explanation:
y - 2a
= -7 - 2(5)
= -7 - 10
= -17
At a recent chess tournament, all 15 of the participants had to fill out a form that gave their names, address and age. The ages of the participants were recorded as follows: 36, 48, 54, 92, 57, 63, 66, 76, 66, 80, 82, 65, 39, 77, and 45. Use the data to construct a frequency table and histogram with 3 classes.(15 points) Classes Class Boundaries
Answers
The frequency table and histogram are shown in the attached picture.
What is a histogram?It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.
We have:
The ages of the participants were recorded as follows:
36, 48, 54, 92, 57, 63, 66, 76, 66, 80, 82, 65, 39, 77, 45
The classes can be made:
30-42, 43-55, 56-68, 69-81, and 82-94
The histogram is shown in the picture.
Thus, the frequency table and histogram are shown in the attached picture.
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Which expression is equivalent to sin?
O sin-
sin
O sin 5
O sin 5
11
sin-
Answers
Answer: Option 4
Step-by-step explanation:
[tex]\sin \frac{7\pi}{6}=\sin \left(-\frac{\pi}{6} \right)=\sin \frac{11\pi}{6}[/tex]
Using equivalent angles, the equivalent expression to [tex]\sin{\left(\frac{7\pi}{6}\right)}[/tex] is:
[tex]\sin{\left(\frac{11\pi}{6}\right)}[/tex]
What are equivalent angles?Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.
In this problem, we have that [tex]\frac{7\pi}{6}[/tex] is on the third quadrant, as [tex]\pi < \frac{7\pi}{6} < \frac{3\pi}{2}[/tex]. Hence the equivalent angle on the first quadrant is:
[tex]\frac{7\pi}{6} - \pi = \frac{7\pi}{6} - \frac{6\pi}{6} = \frac{\pi}{6}[/tex]
The sine is negative on the third and fourth quadrants, hence the equivalent angle on the fourth quadrant is:
[tex]2\pi - \frac{\pi}{6} = \frac{11\pi}{6}[/tex]
Thus, the equivalent expression is:
[tex]\sin{\left(\frac{11\pi}{6}\right)}[/tex]
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To access his bank’s ATM, Tom must choose a four-digit PIN. Any digit from 0 through 9 can be used in the PIN, but digits may not be repeated. How many possible PIN numbers are there?
Answers
Answer:
Try using the permutations formulae - nPr
n = 10
r = 4
you should get the answer. I don't have calculator on me and I'm lazy searching an online calculator. cheers
System A
x−4y=1
5x+6y=−5
System B
x=1+4y
5x+6y=−5
1) How can we get System B from System A?
CORRECT (SELECTED)
Replace one equation with itself where the same quantity is added to both sides
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
CORRECT (SELECTED)
Yes
Answers
1. System B from System A by replacing one equation with itself where the same quantity is added to both sides
2. Yes, both system A and system B are equivalent and therefore has the same solution
How to prove the statementsSystem A
x − 4y= 1
5x + 6y= −5
System B
x = 1+4y
5x + 6y= −5
1. System B can be gotten from system A by
from the first equation of A
x − 4y= 1
Make 'x' subject of formula
x = 1 + 4y
This makes it equal to tat of system B
Thus, replacing one equation with itself where the same quantity is added to both sides
2. System A
x = 1 + 4y
5x + 6y= −5
System B
x = 1 + 4y
5x + 6y= −5
From the above equations, we can see that both system A and system B are equivalent and therefore has the same solution.
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Can someone please tell me the answer to this question?
Answers
Answer:
D) 12pm
Step-by-step explanation:
8 pm = 20:00
20:00 + 16:00*4 = 20:00 + 64:00 = 84:00
subtract the 24 hours in 84:00
84:00 - 3 X 24:00 = 12:00
12:00 = 12pm
4. 1/37 of 111 + 1/3 of ? = 0
(1) 3
2) 9
3) 1
4) can not be determined
Answers
Answer:
4
Step-by-step explanation:
1/37 of 111+1/3 of 3= 4
1/37 of 111 +1/3 of 9=6
1/37 of 111 +1/3 of 1=3.3
2x+15
4x + 5
x = [?]
X
O
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Find the slope of the straight line that passes through (–2, –4) and (3, –5).
A. m= -1/5
B. m = –1
C. m = 1/5
D. m = 1
Answers
Step by step
To find slope, (y2-y1) over (x2-x1)
(-5)-(-4) over 3-(-2)
-1 over 5
m = -1/5
[tex]\large\boxed{\textsf{A.}\ m=-\frac{1}{5}}[/tex]
We can use the slope formula, where our points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
This is also known as "rise over run" because it represents the change in vertical ([tex]y[/tex]) position divided by the change in horizontal ([tex]x[/tex]) position.
Substitute the values from the points given:
[tex]\dfrac{(-5)-(-4)}{3-(-2)}[/tex]
Subtract:
[tex]\boxed{\dfrac{-1}{5}}[/tex]
What is the area of a sector when r = 2 and 0 = 1.75 radians? [?] sq units Round your answer to the nearest tenth. Enter
Answers
Answer:
Step-by-step explanation:
The area of a sector in terms of radians as opposed to degrees is
[tex]A=\frac{\theta}{2\pi }*\pi r^2[/tex]
Filling in the formula accordingly gives us
[tex]A=\frac{1.75rad}{2\pi rad}*\pi (2)^2[/tex]
The radians cancel out, the pi's cancel out, the 2 in the denominator cancels out (divides into 2-squared once), leaving us with
A = 1.75(2) so
A = 3.5 units squared
Find the measure of ∠2.
72°
60°
36°
54°
Answers
Answer:
(c) 36°
Step-by-step explanation:
We assume the pentagon is regular, so each central angle is congruent to the others. Each central angle is bisected by an apothem.
Angle 1Angle 1 is one of 5 congruent central angles, so its measure is ...
∠1 = 360°/5 = 72°
Angle 2Angle 2 is the result of one of the isosceles triangles having its central angle being bisected by an altitude. Its measure is half that of angle 1:
∠2 = 72°/2 = 36°
The measure of angle 2 is 36°.
Angle 3Angle 3 is the other acute angle in the right triangle in which angle 2 is one of the acute angles. Its measure is ...
∠3 = 90° -∠2 = 90° -36° = 54°
Tamika has a spinner with 5 equal sections – red, blue, green, yellow, and purple. She plans to spin it 150 times. Predict how many times she should expect the pointer to land on either green or yellow.
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Probability helps us to know the chances of an event occurring. The number of times Tamika should expect the spinner to land on green or yellow is 60.
What is Probability?
Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Total number of sections on the spinner = 5
Number of sections with green or yellow sections = 2
Number of trials = 150
Now, the number of times Tamika should expect the spinner to land on green or yellow is,
Expected Number of lands on green or yellow = 150 × (2/5) = 60
Hence, the number of times Tamika should expect the spinner to land on green or yellow is 60.
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In one lottery game, contestants pick five numbers from 1 through 23 and have to match all five for the big prize (in any order). You'll get twice your money back if you match three out of five numbers. If you buy four tickets, what's the probability of matching three out of five numbers?
(Enter your answer as a fraction in lowest terms.)
Answers
The probability of matching three out of five numbers is 153/33649
How to determine the probability?The numbers are given as:
1 to 23
There are five matching numbers
The probability of getting a match is:
p = 5-k/n where k = 0, 1, 2
While the complement probability is
q = (n - 2)/n
Using the above formulas, the probability of getting from 5 is:
P = 5/23 * 4/22 * 3/21 * 18/20 * 17/19
Evaluate the product
P = 153/33649
Hence, the probability of matching three out of five numbers is 153/33649
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what is the average rate of change if this function interval x = -3 to x = 0
Answers
The average rate of change of the function, over the given interval is 2.
This question is incomplete, the complete question is:
What is the average rate of change of f(x) = 2x+10, if this function interval are x = -3 to x = 0.
What is the average rate of change over the interval?The average rate of change of f(x) over the interval [a,b] is expressed as;
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Given that;
f(x) = 2x + 10Interval: [ -3, 0 ], a = -3 and b = 0We substitute our values into the expression above.
[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(0)-f(-3)}{0-(-3)}\\\\\frac{[2(0)+10]-[2(-3)+10]}{0-(-3)}\\\\\frac{[10]-[-6+10]}{3}\\\\\frac{[10]-[4]}{3}=\frac{6}{3}=2[/tex]
Therefore, the average rate of change of the function, over the given interval is 2.
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Which rules define the function graphed below? (-2,2) (0,6) (4,6)
Answers
Answer:
y = 2x + 3; y = -1/3 x + 3
Step-by-step explanation:
Both lines have y-intercept 3.
The slopes are 2 and -1/3.
The equations are: y = 2x + 3; y = -1/3 x + 3
What is the slope of a line parallel to the line whose equation is3x−4y=8?
−43
−34
34
43
Answers
The slope of the parallel line is 3/4
How to determine the slope?The equation is given as:
3x - 4y = 8
Rewrite as:
4y = 3x - 8
Divide through by 4
y = 3x/4 - 2
A linear equation is represented as:
y = mx + b
Where m represents the slope
By comparison:
m = 3/4
Parallel lines have equal slope
Hence, the slope of the parallel line is 3/4
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Write 13.13.13.13.13 in exponential form?
Answers
13.13.13.13.13 in exponential form is 13^5
How to rewrite the expression?The expression is given as:
13.13.13.13.13
The factors of the above expression are 13.
And each factor is grouped by product
There are five 13s in the expression.
So, we have:
13.13.13.13.13 = 13^5
Hence, 13.13.13.13.13 in exponential form is 13^5
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y is directly proportional to x and inversely proportional to the square of w. Give the equation:
Answers
Answer: y=kx/w^2
Step-by-step explanation:
y is directly proportional to x
y∝x
y=kx
y inversely proportional to the square of w.
y ∝ (1/(w)^2)
y=k/w^2
y=kx/w^2
If ∠ 1 = 26 o , find the measure of ∠ 4 .
Answers
The angle ∠4 of the given transversal shown in the diagram is gotten as; 26°.
How to find alternate angles?The alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
Now, we are told that ∠1 = 26° as seen in the attached diagram. However, it is clear that ∠2 is an alternate angle to ∠1. Thus, we can say that ∠2 = 26°.
Now, Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.
From the diagram we see that ∠4 is a corresponding angle to ∠2. Thus;
∠4 = 26°.
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Complete the following questions. 2 x 4² x 2 = (6 x 3²) ÷ 9 =
Answers
Answer:
4 ^x27
3
Step-by-step explanation:
2x4^2x2(6x3^2)
9
Simplifies to:
4 ^x27
3
=
4 ^x27
3