What is the answer to this question
Answer:
4th option
Step-by-step explanation:
observing the graph we can say that the racing game is approximately 25% of the total
so
if 1 hour is ----------------------> 100%
X-----------------------------25%
x=25/100------> 1/4=0.25 hours
convert to minutes
0.25*60---------> 15 minutes
the answer is 15 minutes
combined event. Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains red pieces of candy out of 52 pieces of candy to
The probability of randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 6 red pieces of candy out of 37 pieces of candy total is 5/222, or approximately 0.0225 or 2.25%.
Let's calculate the probability of the first draw being red. Since there are 6 red pieces of candy out of a total of 37 pieces of candy, the probability of drawing a red candy on the first try is 6/37.
Now, let's calculate the probability of the second draw being red given that the first draw was red. Since we did not replace the first candy before drawing the second one, there are only 5 red candies left out of a total of 36 candies. Therefore, the probability of drawing a second red candy is 5/36.
To find the probability of the combined event of drawing and immediately eating two red candies in a row, we need to multiply the probability of the first event by the probability of the second event, given that the first event occurred. So the probability of both events occurring is:
(6/37) x (5/36) = 5/222 or approximately 0.0225 or 2.25%.
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Complete Question:
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 6 red pieces of candy out of 37 pieces of candy total.
1) What is the set of solutions for each problem? :
Find all x ∈ (All Real Numbers) such that
x^{2} - x + 6=0
2) What is the set of solutions for each problem?
Find all x∈ (All Real Numbers) such that
(x-3)²(2x+(√3))(x+5)=0
3) What is the set of solutions for each problem?
Find all even integers that are divisible by 5.
In format of : "The set of elements is {__ : n∈ ___}
Question 1 of 25
How does the graph of g(x)= x + 4 compare with the graph of the parent
function, f(x) = x?
A. The graph of g(x) is compressed vertically by a factor of 4.
B. The graph of g(x) is shifted 4 units up.
C. The graph of g(x) is shifted 4 units to the right.
D. The graph of g(x) is compressed horizontally by a factor of 4.
← PREVIOUS
SUBMIT
Answer: The answer is B. the graph of g (x) is shifted 4 units up.
Step-by-step explanation:
:) <3
Answer: B
Step-by-step explanation:
f(x) is a line that goes through (0,0) as a parent function
y=mx +b b is your y-intercept
so
g(x) having a b=4
has been shifted up 4 units B
Question 22 of 25
Suppose f(x)=x2 and g(x) = (4x)2. Which statement best compares the graph
of g(x) with the graph of f(x)?
A. The graph of g(x) is vertically stretched by a factor of 4.
B. The graph of g(x) is horizontally compressed by a factor of 4.
C. The graph of g(x) is horizontally stretched by a factor of 4.
OD. The graph of g(x) is shifted 4 units to the right.
SUBMIT
For the functions f(x)=x² and g(x) = (4x)² the best statement is the graph of g(x) is vertically stretched by a factor of 4.
The function g(x) = (4x)² can be rewritten as g(x) = 16x²
Comparing this with f(x) = x², we can see that g(x) is equal to f(x) multiplied by 16.
Therefore, the graph of g(x) is the same as the graph of f(x) except that it is vertically stretched by a factor of 16.
The graph of g(x) is vertically stretched by a factor of 4.
Hence, for the functions f(x)=x² and g(x) = (4x)² the best statement is the graph of g(x) is vertically stretched by a factor of 4.
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Solve for θ if−10sinθ−8=5√3−8 and 0≤θ<2π.
The solutions are θ = 5π/3 and θ = 4π/3 for equation -10sinθ - 8 = 5√3 - 8, option D is correct.
The given equation is -10sinθ - 8 = 5√3 - 8
Adding 8 to both sides, we get:
-10sinθ = 5√3 - 8 + 8
Simplifying, we get:
-10sinθ = 5√3
Dividing both sides by -10, we get:
sinθ = -5√3/10
Simplifying the fraction, we get:
sinθ = -√3/2
We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).
However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.
Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.
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Solve the following equations using any method. Show your work. Eind the exact solution. Write
the solutions in simplest form.
5. x² + 4x = 3
The equation is solved to a simplified form as x = -4 ±√14
How to solve the expression
From the information given, we have that the quadratic equation is given as;
x² + 4x = 3
collect the like terms
x² + 4x - 3 = 0
Using the quadratic formula, we have
x = -b±√b² - 4ac/2a
From the equation;
ax + bx + c = 0
a = 1
b = 4
c = -3
Substitute the values
x = -4 ± √(4)² - 4(1)(-3)/2(1)
expand the bracket, we get;
x = -4 ± √16 + 12/2
Add the values
x = -4 ± √28/2
Divide the values
x = -4 ±√14
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Thaddeus models the number of hours of daylight in his town as
D(t) = 2.5sin(t) + 12, where D is the number of daylight hours and tis
the time in months since January 1.
What are the least and greatest numbers of daylight hours over the course of
a year?
A. Least: 9.5 hours; greatest: 14.5 hours
B. Least: 7.25 hours; greatest: 14.5 hours
C. Least: 2.5 hours; greatest: 12 hours
D. Least: 6 hours; greatest: 12 hours
The correct answer is option A:
Least: 9.5 hours; greatest: 14.5 hours.
Since, We have;
The function D(t) has a maximum value of 2.5 + 12 = 14.5 hours when sin(t) = 1, which occurs twice per year when,
t = π/2 + 2πn
or t = 3π/2 + 2πn for integers n.
The function has a minimum value of -2.5 + 12 = 9.5 hours
when sin(t) = -1,
which occurs twice per year when t = -π/2 + 2πn or t = 5π/2 + 2πn for integers n.
Therefore, the least number of daylight hours over the course of a year is 9.5 hours, and the greatest number of daylight hours over the course of a year is 14.5 hours.
So, the correct answer is option A:
Least: 9.5 hours; greatest: 14.5 hours.
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Given -13.84(4.7), find the product.
Answer: -65.048
Step-by-step explanation:
-13.84(4.7) = -65.048
(you could also use a calculator)
The vertices of the parallelogram are A(-1, -2), B(3, -2), C(4, 3) and D(0, 3). Find the area of the parallelogram.
PLEASE HURRY
Answer:
19.6 units
Step-by-step explanation:
A = base x height
Pythagoras to get the height
height must be vertical in the base
Tar Heel Corporation had current and accumulated E&P of $530,000 at December 31 20X3. On December 31, the company made a distribution of land to its sole shareholder, William Roy. The land's fair market value was $130,000 and its tax and E&P basis to Tar Heel was $28,000. William assumed a mortgage attached to the land of $11,500. The tax consequences of the distribution to William in 20X3 would be:
The tax consequences of the distribution to William in 20X3 would be Dividend of $118,500 and a tax basis in the land of $130,000.
How to find the tax consequences ?The tax consequences would include the dividend that the William Roy, the shareholder, gets from owning the land. This dividend is:
= Market value of land - Mortgage attached
= 130, 000 - 11, 500
= $ 118, 500
Then, William Roy would have to recognize a tax basis on the land for the fair market value. This means that the tax basis would therefore be $ 130, 000.
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A summary of the two stocks is shown.
Name of Stock Symbol Closing Price Day 1 Closing Price Day 2 Closing Price Day 3
Metropolis, Ltd MTP 17.95 18.25 18.28
Suburbia, Inc SBR 5.63 4.98 5.25
Suppose you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price. Which day, during the following two days, would be the best to sell both stocks and by how much?
Day 2 is the best by $13.00.
Day 3 is the best by $13.00.
Day 2 is the best by $2.45.
Day 3 is the best by $2.45.
The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.
Given are the closing prices of two stocks in three days.
If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,
Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25
If the stock is sold in day 2,
Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25
Profit = $1435.25 - $1448.25 = -$13
If the stock is sold in day 3,
Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7
Profit = $1450.7 - $1448.25 = $2.45
The profit is more for day 3 than day 2.
Hence it is best to sell on day 3 by $2.45.
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A clinical psychologist noticed that the siblings of his obese patients are often not overweight. He hypothesized that the normal-weight siblings consume fewer daily calories than the obese patients. To test this using a matched pairs design, he compared the daily calorie intake of obese patients to that of a “matched” normal-weight sibling. The calories consumed for each sibling pair are given in the table on page 304.
Test whether or not obese patients consume significantly more calories than the normal-weight at a .05 level of significance.
The calculated t-value (4.14) is greater than the critical t-value (2.447), we can reject the null hypothesis and conclude that obese patients consume significantly more calories than their normal-weight siblings at a .05 level of significance.
To test whether obese patients consume significantly more calories than their normal-weight siblings, we can perform a paired t-test at a significance level of .05.
First, we need to calculate the differences in calorie intake between each sibling pair:
Sibling Pair Obese Patient Calorie Intake (cal) Normal-Weight Sibling Calorie Intake (cal) Difference
1 2,450 1,500 950
2 3,500 1,800 1,700
3 3,000 2,100 900
4 2,700 2,000 700
5 2,800 1,900 900
6 3,400 2,000 1,400
7 3,000 2,000 1,000
Next, we need to calculate the mean difference and standard deviation of the differences:
Mean difference = (950 + 1,700 + 900 + 700 + 900 + 1,400 + 1,000) / 7 = 1,014.29
Standard deviation of differences = 382.46
Using these values, we can calculate the t-value:
t = (mean difference - 0) / (standard deviation of differences / [tex]\sqrt{n}[/tex])
where n is the number of sibling pairs (in this case, n = 7).
t = (1,014.29 - 0) / (382.46 / [tex]\sqrt{7}[/tex]) = 4.14
Finally, we can compare the t-value to the critical t-value at a .05 level of significance with 6 degrees of freedom (n-1):
t_critical = 2.447
We may rule out the null hypothesis and reach the conclusion that obese individuals consume considerably more calories than their normal-weight siblings at a.05 level of significance because the estimated t-value (4.14) is higher than the critical t-value (2.447).
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Milan and Nicole are standing on a riverbank, 100 meters apart, at points A and B respectively. (See the figure below.) Nicole is 130 meters from a house located across the river at point C. Suppose that angle A (angle BAC) is 55°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth of a degree.
The angle that has been marked as B can be obtained as 86 degrees.
Solving a triangleTo solve a triangle, you need to find the measures of its angles and sides. There are different methods to solve a triangle, depending on the information given.
If you are given the measures of all three angles, you can use the fact that the sum of the angles in a triangle is always 180 degrees to find the missing side lengths.
Using the sine rule;
100/Sin C = 130/Sin 55
Sin C = 100 Sin 55/130
C = Sin-1( 100 Sin 55/130)
C = 39 degrees
Now;
B = 180 - (55 + 39)
B = 86 degrees
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What is the slope of the line with equation
Answer:
-7
Step-by-step explanation:
if you change the equation into y=mx +b form you get y=-7x +4 where m is -7 so the slope would be -7
pleaseee hurrrrrryyy
Angle C is 25 degrees (Vertically opposite angles)
What are vertically opposite angles?
An angle pair created by the intersection of two straight lines or rays is said to be vertically opposite. Four angles are formed at the intersection point of two lines. Angles created by the junction of two lines that are opposite to one another vertically are known as vertically opposing angles. They are sometimes referred to as pairs of angles that are vertically opposed.
Since we have angles on a straight line;
B + 25 = 180
B = 155 degrees
Since B and D are vertically opposite, D = 155 degrees
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GIVING BRNLIEZT Use the net to compute the surface area of the three-dimensional figure.
Responses
A 130 units2
130 units 2
B 182 units2
182 units 2
C 166 units2
166 units 2
D 152 units2
The net to compute the surface area of the three-dimensional figure is 166 square units.
We have,
the surface area of the three-dimension figure:
The surface area is the area calculated for the three-dimensional object. As the three-dimensional object is made up of 2D faces, the surface area is the sum of the areas of all the faces of the figure.
A cuboid is a three-dimensional figure having length, width, and height. The surface area of a cuboid can be calculated by adding together the areas of the six faces.
For the given cuboid, length l = 8 , width w = 5 and height h = 5.
The surface area of the figure is given by;
SA = 2 (lw+lh+wh)
=70 + 56 + 40
= 166
Hence, the net to compute the surface area of the three-dimensional figure is 166 square units.
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Choose all that are true. A rhombus is a :
A. Trapezoid
B. Quadrilateral
C. Rectangle
D. Parallelogram
E. Square
I thought square since a square is a rhombus and a quadrilateral since it is one I think.
Answer:
B and D are correct. A rhombus is a quadrilateral and a parallelogram.
After 1 year, $500 deposited in a savings account with simple interest had earned $75 in interest. What was the interest rate?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 75\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 75 = (500)(\frac{r}{100})(1) \implies 75=5r\implies \cfrac{75}{5}=r\implies \stackrel{ \% }{15}=r[/tex]
USE A MODEL Noah wants to take a picture of a beachfront. He wants to make sure two palm trees located at points A and B are just inside the edges of the photograph. He walks out on a walkway that goes over the ocean to get the shot. Point A is 90 feet from the entrance of the walkway, and point B is 40 feet from the entrance. If the walkway is perpendicular to AB, and Noah’s camera has a viewing angle of 90°, at what distance down the walkway should Noah stop to take his photograph? On a separate sheet of paper, draw a diagram to model the situation.
He ought to pause 90 feet ahead in order to snap his shot while on the walkway.
How to solveTrigonometry can be used to determine the ideal spot on the walkway at which Noah must stop for his snapshot.
Since Noah's camera has a 90° viewing angle, both angles AON and BON will equate to 45° each.
Equipped with OA = 90 feet and OB = 40 feet, we can create two equations and use tan(45°) = 1:
1 = 90 / x
1 = 40 / x
Solving for x within each equation results in x = 90 and x = 40, respectively.
To secure that both palm trees are positioned within the border of the photograph, Noah should choose the larger distance: x = 90 feet.
Therefore, he ought to pause 90 feet ahead in order to snap his shot while on the walkway.
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Critical values for quick reference during this activity.
Confidence level Critical value
0.90 z∗=1.645
0.95 z∗=1.960
0.99 z∗=2.576
475754.3278094.qx3zqy7
Jump to level 1
In a poll of 1000 randomly selected voters in a local election, 745 voters were against school bond measures. What is the sample proportion p^? What is the margin of error m for the 99% confidence level?
What is the null hypothesis? What is the alternative hypothesis?
On solving the query we can say that the alternative theory is that the proportion of the population does not match the proportion of the sample. Ha: p ≠ p = 0.745
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
M is equal to z* * sqrt(p(1-p)/n)
Therefore, the error margin is:
m = 2.576 * sqrt(0.745*(1-0.745)/1000) = 0.034
The 99% confidence interval for the percentage of voters opposed to school bond initiatives is as follows:
0.745 ± 0.034, or (0.711, 0.779)
H0: p = p^ = 0.745
The null hypothesis (Ha) states that the percentage of voters opposed to school bond measures in the sample and the percentage of voters opposed to school bond measures in the population vary. In other words, the alternative theory is that the proportion of the population does not match the proportion of the sample.
Ha: p ≠ p^ = 0.745
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On solving the query we can say that the alternative theory is that the proportion of the population does not match the proportion of the sample.
[tex]H_O: p = p^{= 0.745}[/tex]
What is function?
Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
M is equal to z* √(p(1-p)/n)
Therefore, the error margin is:
m = 2.576* √(0.745 (1-0.745)/1000) = 0.034
The 99% confidence interval for the percentage of voters opposed to school bond initiatives is as follows:
0.745 ± 0.034, or (0.711, 0.779)
[tex]H_O: p = p^{= 0.745}[/tex]
The null hypothesis (Ha) states that the percentage of voters opposed to school bond measures in the sample and the percentage of voters opposed to school bond measures in the population vary. In other words, the alternative theory is that the proportion of the population does not match the proportion of the sample.
[tex]H_O: p = p^{= 0.745}[/tex]
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In circle O, OP=3 and m∠POQ=80°. Find the area of shaded sector. Express your answer as a fraction times π.
Answer:
[tex]2\pi[/tex]
Step-by-step explanation:
First, let's find the area of circle O.
The formula is [tex]\pi r^2[/tex].
Plugging in the radius 3, we get the area is [tex]9\pi[/tex].
To get the area of the sector, we have to find out what fraction of 360 degrees the POQ is.
[tex]\frac{80}{360} = \frac{2}{9}[/tex].
We now multiply [tex]\frac{2}{9}[/tex] by 9, getting 2.
The answer is [tex]2\pi[/tex]
Find the volume of figure two using the volume formula make sure to identify length width height
Answer:
[tex]72\ units^3[/tex]
Step-by-step explanation:
Width = 3 units
Height = 4 units
Length = 6 units
Volume = Length * Width * Height
= 6 * 3 * 4
= 72 units cubed
Find 3 times the quantity 7.25 minus 4.5
Answer:
17.25
Step-by-step explanation:
3*7.25= 3*7+ 3*0.25=21+0.75=21.75. 21.75-4.5=17.25.
Answer:
376.58 or 20.570824
Step-by-step explanation:
PLEASE HURRY AND ANSWER
The figure shows a 300 foot tower on the side of a hill that forms a * 7 deg angle with the horizontal. Find the length of each of the two guy wires that are anchored 120 feet uphill and downhill from the tower's base and extend to the top of the tower.
Part A=
Part B=
The length of each of the two guy wires that are anchored are 328.85 ft and 323.45 ft
Finding the length of each of the two guy wiresStart by calculatng the height h from the horizontal to the base of the hill
So, we have
tan(7) = h/120
This gives
h = 14.7
The length of the first guy is
Length² = (14.7 + 120)² + (300)²
Evaluate
Length = 328.85
Next, we calculate the base length b as
b² = (120)² + (14.7)²
b = 120.9
The length of the second guy is
Length² = (120.9)² + (300)²
Length = 323.45
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Which of the following best describes a consumer
A consumer is best described as the end user of a product
What is 6,075 / 450=
Answer: It equals 13.5
Answer:
6,075 / 450 = 13.5
PLEASE MARK ME AS BRAINLIEST !!!
Do the following side lengths form a unique triangle? 5,7,13
In order for three sides to make a triangle, if any two sides are added together, their sum should be greater than the third side:
→ 5 + 7 = 12 < 13 (DOES NOT check off the rule)
→ 7 + 13 = 20 > 5 (Checks off the rule)
→ 5 + 13 = 18 > 7 (Checks off the rule)
As shown, even though 2 of the statements check off the rule the third one does not, this means that the sides don't make a triangle.
I’m stuck on this 3 questions help
Answer:Umm... what grade am I gonna learn that in?
Step-by-step explanation:
Sorry, I tried but I have no idea what that is...
Find the average rate of change of f(x) = 3x² - 5 on the interval [4, t]. Your answer will be an expression
involving t
Answer: [tex]\frac{3t^{2}-48 }{t-4}[/tex]
Step-by-step explanation:
Rate of change is still rise/run or your y's/x's
When x=4, y=3(4)²-5=43
When x=t, y=3t²-5
rate of change = [tex]\frac{3t^{2}-5-43 }{t-4}[/tex] = [tex]\frac{3t^{2}-48 }{t-4}[/tex]
