Answer:
[tex]z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930[/tex]
The p value for this case would be given by:
[tex]p_v =P(z>3.930)=0.0000443[/tex]
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
Step-by-step explanation:
Information given
n=1045 represent the random sample selected
X=502 represent the college graduates with a mentor
[tex]\hat p=\frac{502}{1045}=0.480[/tex] estimated proportion of college graduates with a mentor
[tex]p_o=0.42[/tex] is the value that we want to test
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:
Null hypothesis:[tex]p \leq 0.42[/tex]
Alternative hypothesis:[tex]p > 0.42[/tex]
The statistic is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info we got:
[tex]z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930[/tex]
The p value for this case would be given by:
[tex]p_v =P(z>3.930)=0.0000443[/tex]
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
can plants the seed of one and a half inch below the ground
Answer:
The plant is 2.5 inches above the ground!
Step-by-step explanation:
i just did it
Answer:
Could you please rephrase this?
(geometry) PLZ HELP ASAP!
Answer:
About 25.1 cubic meters
Step-by-step explanation:
The diameter of a circle is twice the radius, meaning that the radius of the base of this cone is 4/2=2 meters. The formula for the volume of a cone is:
[tex]V=\dfrac{1}{3} \pi r^2 h=\\\\\dfrac{1}{3} \cdot \pi \cdot 2^2 \cdot 6\approx 25.1[/tex]
Hope this helps!
The student council is planning the school carnival. Each ticket costs $2.50. Explain how to write an equation that represents this scenario. Let X represent the number of tickets sold, and Y represents the total amount of money raised.
Answer:
the answer is c.
Answer:
Let x represent the variety of tickets sold, and y represent the total amount of cash raised. Since each price tag is $2.50, the total amount of money raised is identical to $2.50 instances the wide variety of tickets. The equation would be y = 2.50x.
Step-by-step explanation:
The x variable represents the number of tickets sold.
The y variable represents the total amount of money raised from ticket sales.
The equation for the scenario is y = 2.50x.
In the diagram, m 23 = 120° and mZ12 = 80°. Which
angle measures are correct? Check all that apply.
1
2
mZ1 = 60°
V
9 10
11 12
4
e
m2 13 = 80
56
13 14
m26 = 80
7
8 15 16
f
m25 = 60°
Om Z10 = 120°
'c
d
m2 14 = 100
Intro
Done
4 of 8
Answer:
A,B,D,F
Step-by-step explanation:
The angle measures that are true are:
m∠1 = 60
m∠13 = 80
m∠5 = 60
m∠14 = 100
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
m∠3 = 120
m∠12 = 80
Now,
1)
m∠1 = 60 (true)
m∠1 + m∠3 = 180
So,
m∠1 = 180 - 120 = 60
2)
m∠13 = 80 (true)
m∠12 and m∠13 are alternate angles.
So,
m∠13 = 80
3)
m∠6 = 80 ( false)
m∠6 and m∠3 are alternate angles.
So,
m∠6 = 120
4)
m∠5 = 60 (true)
m∠5 + m∠3 = 180
m∠5 = 180 - 120 = 60
5)
m∠10= 120 (false)
m∠10 + m∠12 = 180
m∠10 = 180 - 80 = 100
6)
m∠14 = 100 (true)
m∠14 + m∠12 = 180
m∠12 = 180 - 80 = 100
Thus,
The angle measures that are true are:
m∠1 = 60
m∠13 = 80
m∠5 = 60
m∠14 = 100
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If f(x) = 4x ^ 2 and g(x) = x + 1 , find (fg)(x) ).
a. 4x(x)
B. 4x ^ 3 + 4x ^ 2
C. 4(x + 1) ^ 2
D. 4x ^ 2 + 1
Answer:
[tex]\boxed{\sf \ C \ is \ the \ correct \ answer \ ! \ }[/tex]
Step-by-step explanation:
fog(x)=f(g(x))
so it comes
[tex]f(g(x))=f(x+1)=4(x+1)^2[/tex]
so C is the correct answer
Answer:
Option B
Step-by-step explanation:
[tex]f(x) = 4x^2\\g(x) = x+1[/tex]
Multiplying both will give us:
[tex](fg)(x) = 4x^2(x+1)[/tex]
=> [tex](fg)(x) = 4x^3+4x^2[/tex]
h(n)=63(-1/3)^n Complete the recursive formula of h(n)
Answer:
h(n+1) = -⅓ h(n), h(0) = 63
Step-by-step explanation:
h(n) = 63 (-⅓)ⁿ
This is a geometric series where the first term is 63 and the common ratio is -⅓.
Therefore, each term is -⅓ of the previous term.
h(n+1) = -⅓ h(n), h(0) = 63.
Students are designing a new town as part of a social studies project on urban planning. ey want to place the town’s high school at point A and the middle school at point B. they also plan to build roads that run directly from point A to the mall and from point B to the mall. the average cost to build a road in this area is $550,000 per mile. . c. Draw the road from point A to the mall and find its length. d. Draw the road from point B to the mall and find its length. e. How much farther from the mall is point B than point A? How much more will it cost to build the longer road?
Answer:
c, d. see attached
e. about 2.96 miles; about $1.63 million
Step-by-step explanation:
e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:
A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles
B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles
The difference in distance is ...
(BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles
The mall is about 2.96 miles farther from point B than from point A.
The additional cost is the difference in miles multiplied by the cost per mile:
(2.96 mi)($0.550 M/mi) = $1.63 M
The additional cost of the longer road is about $1.63 million.
What transformations were applied to ABC to obtain A'B'C'?
Answer: rotated 90 degrees counterclockwise and shifted 2 units up.
Step-by-step explanation:
Which expression is equivalent to 4 (x + 2)? 6 x 4 (x) + 4 (2) 4 (x) + 4 8x
Answer:
4x+8 or 4 (x) + 4 (2)
Step-by-step explanation:
Hope it helps.
Answer:
B
Step-by-step explanation:
4(x+2).
By expanding the expression we have;
4(x+2) = 4× x + 4× 2 = 4(x) + 4(2)
What is the equation for Graph B? Use C for hours in class and S for hours studying. Use * to indicate multiplication
Answer:
[tex]S=\frac{C}{2}[/tex]
Step-by-step explanation:
From the graph B,
Let the equation of the line representing the relation between hours spent in studying 'S' and hours spent in class 'C' is,
S = mC + b
Where m = Slope of the line
b = y-intercept of the line
We choose two points (2, 1), and (4, 2) lying on the line.
Slope 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m = [tex]\frac{2-1}{4-2}[/tex]
m = [tex]\frac{1}{2}[/tex]
y-intercept 'b' = 0
Equation of the line will be
S = [tex]\frac{1}{2}C[/tex]
After sitting out of a refrigerator for a while, a turkey at room temperature 71 f is placed into an oven. The oven temperature is 325 f. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven.
The turkey reaches the temperature of 117 f after 1.5 hours. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 4.5 hours.
Answer: The value of k to the nearest thousandth is -0.133
The of the turkey to the nearest degree after 4.5 hours is 186F
Step-by-step explanation: Please see the attachments below
A 65 ft. long swimming pool is to be constructed. The pool will be 4 ft. deep at one end and 11 ft. deep at the other. To the nearest degree, what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end
Answer:
Measure of the acute angle = 84°
Step-by-step explanation:
In the figure attached,
ABDE is a swimming pool having length 'AB' = 65 feet
Depth of one end of the pool is BE = 4 feet
And depth of the other end AD = 11 feet
Acute angle between the bottom of the pool (DE) and wall of the deep end (AD) is ∠ADE.
Now from ΔCDE,
tanx = [tex]\frac{EC}{DC}[/tex]
tanx = [tex]\frac{7}{65}[/tex]
x = [tex]\text{tan}^{-1}(\frac{7}{65})[/tex]
x = 6.15°
Now measure of acute angle the bottom of the pool makes with wall at he deep end,
m∠ADE = (90 - 6.15)°
= 83.85°
≈ 84°
Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders.
Answer:
The size will be "431".
Step-by-step explanation:
On assuming:
P1 = 0.5
P2 = 0.5
Now,
[tex]q1=1-p1[/tex]
[tex]=1-0.5[/tex]
[tex]=0.5[/tex]
and,
[tex]q2=1-p2[/tex]
[tex]=1-0.5[/tex]
[tex]=0.5[/tex]
Margin's error will be,
E = 0.07
For 96% CI critical will be:
Z = 2.054
So,
Sample size = [tex](p1q1+p2q2)\times (\frac{Z}{E})^2[/tex]
On putting the estimated values, we get
= [tex](0.5\times 0.5+0.5\times 0.5)\times (\frac{2.054}{0.07})^2[/tex]
= [tex](0.25+0.25)\times (29.3)^2[/tex]
= [tex](0.5)\times (858.49)[/tex]
= 431
I need help with this please
Answer:
D
Step-by-step explanation:
The equations are similar and so if we compute the vertex we would see they are the same..
Let's try computing the maximum or minimum point of y= -3(x+2)^2 - 4 and y= 3(x+2)^2 - 4 ;
For y= 3(x+2)^2 - 4 ;
to compute the maximum or minimum point we find dy/dx of the expression equating it to 0; the value of x is determined and we substitute to the original expression for y.
If y is -ve we know it's a minimum graph and if y is +be it's a maximum graph.
From the foregoing;
For y= 3(x+2)^2 - 4 ;
dy/dx = 2× 3 ( x+2) ×1 = 6(x+2) = 6x + 12= 0
6x= -12=>x= -12/6= -2;
We substitute x= -2 in y =3(x+2)^2 - 4; y = 3(-2+2)^2-4 = -4
Since y = -4 is a hence y= 3(x+2)^2 - 4 is a minimum graph.
For y= -3(x+2)^2 - 4 ;
dy/dx = 2× -3 ( x+2) ×1 = -6(x+2) = -6x - 12= 0
-6x= 12=>x= -12/6= -2;
Substituting in the y= -3(x+2)^2 - 4 ;
We have;
We substitute x= -2 in y =-3(x+2)^2 - 4; y = -3(-2+2)^2-4 = -4
y= -4 ;
Since both graphs look like they are minimum that is the vertex is y= -4;
Let's explore a further step
The derivative of the previous derivative;
For y= 3(x+2)^2 - 4;
We means d/dy × [dx/dy] = d/dy [ 6x + 12 ] = 6
Hence y= 3(x+2)^2 - 4 is a maximum graph;
Similarly for y= -3(x+2)^2 - 4 ;
d/dy × [dx/dy]
d/dy [-6x-12 ] = -6
Hence y= -3(x+2)^2 - 4 is a minimum graph;
Conclusion: y= 3(x+2)^2 - 4 is a maximum graph and y= -3(x+2)^2 - 4 is a minimum graph;
The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly
Answer:
Step-by-step explanation:
The following statement is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample to the statement. if the statement is true, give a justification. if v_1, v_2, v_3 are in ropf^3 and v_3 is not a linear combination of v_1, v_2, then {v_1, v_2, v_3} is linearly independent. fill in the blanks below. the statement is take v_1 and v_2 to be multiples of one vector and take v_3 to be not a multiple of that vector. for example, v_1 = [1 1 1], v_2 = [2 2 2], v_3 = [1 0 0] since at least one of the vectors is a linear combination of the other two, the three vectors are linearly
Which of the following terms describes a company's first sale of stock to the
public?
O A. Circular flow model
B. Debt financing
O C. Venture capital
D. Initial public offering
Answer:
D. Initial public offering
Step-by-step explanation:
A P E X
Want brainliest? Get this correct , What is one of the negative effects of globalization?
Answer:
B
Step-by-step explanation:
the reason is, i suffered it ;)
∆LMN ∼ ∆PON. What is the value of x? Select one: a. 28 1/3 b. 36 c. 20 d. 25
Answer:
Option B. 36
Step-by-step explanation:
From the figure attached,
ΔLMN ~ ΔPON
Therefore, corresponding sides of these similar triangles will be in the same ratio.
[tex]\frac{LM}{OP}=\frac{MN}{ON}=\frac{LN}{PN}[/tex]
[tex]\frac{LM}{OP}=\frac{MN}{ON}[/tex]
[tex]\frac{42}{14}=\frac{x}{12}[/tex]
x = [tex]\frac{42\times 12}{14}[/tex]
x = 36
Therefore, measure of side MN = x = 36 units
Option B. will be answer.
A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for Pi. Round the answer to two decimal places.) 32.71 Inches cubed 65.42 Inches cubed 196.25 Inches cubed 588.75 Inches cubed
Answer:
[tex] V =\frac{1}{3} \pi r^2 h[/tex]
And replacing we got:
[tex] V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3[/tex]
And the best option would be:
65.42 Inches cubed
Step-by-step explanation:
For this case we have the following info given:
[tex] h =2.5 in[/tex] represent the height of the cone
[tex] r = 5 in[/tex] represent the radius
And the volume of the cone is given by;
[tex] V =\frac{1}{3} \pi r^2 h[/tex]
And replacing we got:
[tex] V = \frac{1}{3} (3.14) (5in)^2 (2.5in) = 65.42 in^3[/tex]
And the best option would be:
65.42 Inches cubed
Answer:
32.71 Inches cubed
Step-by-step explanation:
Let's recall the volume of the cone to be = 1/3πr³h
So using the formula.
r= 5
h = 2.5
I = 3.14
Volume = 1/3 * 3.14 * 5³ * 2.5
Volume = 327.1 in³
Solve the two-step equation. -9x + 0.4 = 4 Which operation must be performed to move all the constants to the right side of the equation? Then, which operation must be performed to isolate the variable? The solution to the equation is x = .
Answer:
x=-0.4
Step-by-step explanation:
We have the equation:
[tex]-9x+0.4=4[/tex]
First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:
[tex]-9x+0.4=4\\-9x+0.4-0.4=4-0.4\\-9x=3.6[/tex]
Now, we have all the constants on the right side of the equation.
Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:
[tex]-9x=3.6\\\frac{-9x}{-9} =\frac{3.6}{-9} \\x=-0.4[/tex]
Thus, the answer to this equation is x= -0.4
Answer:
a)
Subtract 0.4 from both side.
-9x +0.4 = 4
-9x + 0.4 - 0.4 = 4 - 0.4
-9x = 3.6
b)
divide by -9 both side
-9x/-9 = 3.6/-9
x = -0.4
Step-by-step explanation:
-9x+0.4=4
-0.4 -0.4
_______________
-9x=3.6
__ __
-9 -9
________________
x=-0.4
AM really good !
Step-by-step explanation:
Two planes, which are 2235 miles apart, fly toward each other. Their speeds differ by 95 mph. If they pass each other in 3 hours, what is the speed of each?
Answer:
325 mph and 420 mph
Step-by-step explanation:
If the speed of the slower plane is x, then the speed of the faster plane is x + 95.
The distance traveled by the slower plane is 3x.
The distance traveled by the faster plane is 3(x + 95).
The total distance is 2235 miles.
3x + 3(x + 95) = 2235
3x + 3x + 285 = 2235
6x = 1950
x = 325
x + 95 = 420
The speed of the planes is 325 mph and 420 mph.
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test are 148,102,152.What is the average of the extracted scores that are outliers
Answer:
102
Step-by-step explanation:
We have the mean (m) 128.5 and the standard deviation (sd) 8.2, we must calculate the value of z for each one and determine whether or not it is an outlier:
z = (x - m) / sd
In the first case x = 148:
z = (148 - 128.5) /8.2
z = 2.37
In the second case x = 102:
z = (102 - 128.5) /8.2
z = -3.23
In the first case x = 152:
z = (152 - 128.5) /8.2
z = 2.86
The value of this is usually between -3 and 3, therefore when x is 102 it goes outside the range of the value of z, which means that this is the outlier.
The price of an item has risen to $282 today. Yesterday it was $120. Find the percentage increase.
Answer:
57.45% increase
Step-by-step explanation:
The formula for percent change is (new - old)/new x 100.
The new value is $282 and the old value is $120.
Plug that into the formula:
(282 - 120)/282 x 100
= 57.45%
I hope this helped!
Aubrey is making cone-shaped hats for a birthday party. How much paper does Aubrey need for each hat? Use 3.14 for pi and round your answer to the nearest inch
Answer:
About 75 in²; Aubrey found the surface area of the cone and included the base.
Complete question:
Aubrey is making cone-shaped hats for a birthday party. She mistakenly thinks that she will need about 104 square inches of paper for each hat.Cone with diameter six inches and slant height eight inches.What is the correct amount of paper Aubrey will need per hat? Explain Aubrey’s mistake. Use 3.14 for π and round to the nearest inch.
Step-by-step explanation:
Lateral surface area of a cone = Paper required to for each hat
Lateral surface area = πrl
where, r is radius of the cone and l is lateral height of the cone
Lateral surface area = π(3)(8)
= 75.36 square inches
≈ 75 square inches
Therefore, total paper required for each cap is about 75 square inches.
Total surface area of the cone (Lateral area + Area of the base)
= πr(r + l)
= 3.14(3)(3 + 8)
= 103.62
≈ 104 square inches.
Aubrey did a mistake by finding the total surface area (including base area) of the cone instead of lateral surface area.
Answer:
~75 in
Step-by-step explanation:
Your favorite team is in the World Series. You have assigned a probability of 63% that they will win the championship. Past records indicate that when teams win the championship, they win the first game of the series 72% of the time. When they lose the championship, they win the first game 27% of the time. The first game is over and your team has lost. What is the probability that they will win the World Series?
Answer:
0.3950
Step-by-step explanation:
Any team team will win the championship with probability 63% that is
P(W)=0.63
when teams win the championship, they win the first game of the series 72% of the time that is
P(F|W)=0.72
When they lose the championship, they win the first game 27% of the time.
P(F|W')=0.27
The probability that they will win the World Series when the first game is over and your team has lost that is
P(W|F')
Now, By Bayes theorem
[tex]\begin{array}{l}
P\left(W | F^{\prime}\right)=\frac{P\left(F^{\prime} | W\right) P(W)}{P\left(F^{\prime} | W\right) P(W)+P\left(F^{\prime} | W^{\prime}\right) P\left(W^{\prime}\right)} \\
\quad=\frac{[1-P(F | W)] P(W)}{[1-P(F | W)] P(W)+\left[1-P\left(F | W^{\prime}\right)\right][1-P(W)]} \\
\quad=\frac{[1-0.72] \times 0.63}{[1-0.72] \times 0.63+[1-0.27][1-0.63]} \\
\quad=\frac{0.28\times 0.63}{0.28\times 0.63+0.73 \times 0.37} \\
=0.3950\end{array}[/tex]
Caroline is looking for a tool to measure the mass of a dictionary. Which tool should she use?
Answer:
scale
Step-by-step explanation:
scales are used to measure weight
The tool that Caroline can use to Measure the mass of a dictionary is; Pan Balance.
What is the Correct Tool of Measurement?When discussing measurements, there are different tools and equipment's that can be used such as Ruler, Pan balance, Stopwatch, Liter container.
Now, the tools above can be used for measuring different things but our question wants the one that would be used to measure the mass of a dictionary and the correct tool is a Pan Balance.
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Find the median of the data. 12,33,18,28,29,12,17,4,2
Answer:
Step-by-step explanation:
2, 4, 12, 12, 17, 18, 28, 29, 33
(17+18)/2
35/2= 17.5 is the median
The median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data:
12, 33, 18, 28, 29, 12, 17, 4, 2
After arranging in accending orde:
2, 4, 12, 12, 17, 18, 28, 29, 33
As we can see the mid-value is 17
Median = 17
Thus, the median is 17 for the data. 12,33,18,28,29,12,17,4,2 which is a mid value of the data.
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Find the y and x intercept
Answer: See below
The line goes through -4 on the x-axis (horizontal line) and 0 on the y-axis. Therefore the x-intercept is (-4, 0)
The line goes through -8 on the y-axis (vertical line) and 0 on the x-axis. Therefore the y-intercept is (0, -8)
What is the answer to 2(-2)+3(-5)
Answer:
-19
Step-by-step explanation:
2*(-2)+3(-5)=-4+(-15)= -19
venona is solving the equation-3+4x=9 in order to isolate the variable term
Answer:
x = 3
Step-by-step explanation:
-3 + 4x = 9 .... add the 3 over
4x = 12 .... divide by 4
x = 3