To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. If we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.
Explanation:To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. Let's say the probability of a student preferring dogs is P(D) and the probability of a student being female is P(F). Then, the probability that a student prefers dogs or is female, P(D or F), is given by P(D or F) = P(D) + P(F) - P(D and F).
Since we don't have the individual probabilities P(D) and P(F), we can't calculate the exact probability. However, if we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.
For example, if the probability of a student preferring dogs is 0.4 and the probability of a student being female is 0.6, then the estimated probability that a randomly selected student prefers dogs or is female would be 0.4 + 0.6 = 1.
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Help...i dont know how to solve this
X^2- 64
Answer:
x = ±8
Step-by-step explanation:
X^2- 64
Set this equal to 0
x^2 -64 =0
Add 64 to each side
x^2-64+64 = 64+64
x^2 = 64
Take the square root on each side
x = ±sqrt(64)
x = ±8
Answer:
Step-by-step explanation:
a²-b²=(a+b)(a-b)
x²-64=x²-8²
=(x+8)(x-8)
A computer is sold for a certain price and then its value changes exponentially over time.
The graph describes the computer's value (in dollars) over time (in years).
value (dollars)
500
400+
300+
5
200+
100+
time
(years)
0.5
1
1.5
2
2.5
3
3.5
How does the computer's value change over time?
Answer: the computer loses 50% of its value each year
Step-by-step explanation:
The distance from the center of a circulartrashcan to the edge of the trashcan is 15 inches.What is the area of the top of the trashcan?
Answer:
706.95in²
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cylinder
Step one
The trash can has a cylindrical shape
The distance from the center to the edge is the radius r= 15in
Step two
Area of top (circular ) = πr²
A= 3.142*15²
A= 3.142*225
A= 706.95in²
is the number -71.52 rational?
Answer:
YES
Step-by-step explanation:
it is negative and it not a whole number there is a decimal point
A college president says, "More than two-thirds of the alumni support my firing of Coach Boggs." The president's statement is based on 200 emails he has received from alumni in the past three months. The college's athletic director wants to perform a test of H0: p = ⅔ versus Ha: p > ⅔, where p = the true proportion of the college's alumni who favor firing the coach. Check if the conditions for performing the significance test are met. Random? No, volunteer response sample
A. Random? No, volunteer response sample Large Counts? Yes
B. Random? Yes Large Counts? fails
C. Both fails
D. Random? Random sample of 100 students Large Counts? np0 = 100(0.13) = 13 ≥ 10 and n(1-p0) = 100(0.87) = 87 ≥ 10
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below. Which statements about the function are true? Select three options. The vertex of the function is at (–4,–15). The vertex of the function is at (–3,–16). The graph is increasing on the interval x > –3. The graph is positive only on the intervals where x < –7 and where x > 1. The graph is negative on the interval x < –4.
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where x > 1
Step-by-step explanation:
The roots of this function are the values that make f(x) = 0. As the equation is already factored, we can see that the roots are x1 = 1 and x2 = -7
The x-coordinate of the vertix can be calculated as:
x_v = (x1 + x2)/2 = -6/2 = -3
So the first statement: "The vertex of the function is at (–4,–15)" is wrong.
The y_coordinate of the vertex is:
f(x_v) = (x_v - 1)*(x_v + 7) = (-3 -1) * (-3 +7) = (-4) * (4) = -16
So the second statemente: "The vertex of the function is at (–3,–16)" is correct.
for values of x greater than x_v = -3, the graph increases, as the equation represents a parabola with concavity upwards. So the third statement is correct.
As the roots are 1 and -7 and the concavity is upwards, the parabola have positive values for x<-7 and x>1. So the fourth statement is correct.
For values of x< -4, the parabola can have both positive or negative values (it has positive values for x < -7) so the fifth statement is wrong.
Answer:
B. The vertex of the function is at (–3,–16).
C. The graph is increasing on the interval x > –3.
D. The graph is positive only on the intervals where x < –7 and where
x > 1.
When you go to the store, does tax increase or decrease the cost of your items?
yes because you have to pay more it's tricky
Complementary, Supplementary, Vertical, and Adjacent Angles
100 POINTS
Answer:
The first picture is A
The second picture is 21.8
The third picture is 20
The fourth picture is B
Step-by-step explanation:
4x + 8x = 180
12x = 180
x = 15
90 - 68.2 = 21.8
7x + 10 = 150
7x = 140
x = 20
Angle A = 63
180 - 63 = 117
Answer:
The first picture is A
The second picture is 21.8
The third picture is 20
The fourth picture is B
Step-by-step explanation:
hope this helps
the diagram shows a square ABCD with sides of length 20cm. it also shows a semi circle and an arc circle AB is the diameter of the semi circle BD is an arc of a circle with the centre A. Find the area of the shaded region giving your answer in terms of pie. you must show your working, clearly stating the area of the semi circle.
I got 1 out of 4 Marks for pie/8 which equalled the shaded region over the area of the square but I have no clue for the area of the semi circle
Answer:
Area of shaded region/area of square = [tex]\pi[/tex]/8
[tex]\frac{50\pi cm^2 }{400 cm^2} = \frac{1}{8}[/tex]
Area of the semi-circle: 50[tex]\pi[/tex] cm^2
Step-by-step explanation: The problem asked us to prove that the area of the shaded region within the diagram divided by the area of the square equals 1/8. An image will be provided down below for visual representation.
First, we must figure out the area of the shaded region. We do this by finding the area of the semi-circle inside the arc circle that goes A to C.
Area of a semi-circle (diameter): [tex]A = \frac{\pi * d^2}{8}[/tex]
[tex]A = \frac{\pi *(20)^2}{8}[/tex]
[tex]A = 50\pi cm^2[/tex]
Now to find the area of the shaded region, we must subtract the area of the semi-circle from the area that covers the arc circle AB.
In the diagram, we can see that the arc circle within the square looks like a quarter circle. We need to manipulate the equation to highlight this.
Area of a semi-circle (radius) divided by 4 = [tex]A = \frac{\pi *r^2}{4}[/tex]
[tex]A = \frac{\pi *20^2}{4} \\A = 100\pi\\A = 100\pi - 50\pi \\A = 50\pi cm^2[/tex]
Area of a square = [tex]A = s^2[/tex]
[tex]A = (20)^2[/tex]
A = 400 cm^2
Now we take these two solutions to see if it equal [tex]\frac{\pi }{8}[/tex].
[tex]\frac{50\pi }{400} \\\frac{50*\pi }{50*8} = \frac{\pi }{8}[/tex]
That is how we get to our final answer: [tex]\frac{\pi }{8}[/tex]
A 10 meter flag pole casts a shadow 5 meters long. How long will the shadow be if the flag pole is 15 meters tall
Answer:
7.5 meters long
Step-by-step explanation:
10/2 = 5
15/2 = 7.5
The shadow is half as long as the pole.
hope this helps :)
Answer:
7.5 meters
Step-by-step explanation:
Actual : shadow
10 : 5
15 : X
10/5 = 15/X
X = 15 × 5/10
X = 7.5
What is the area of the figure below?
Answer:
Step-by-step
Two Small End squares
Square area = s^2
s = 3
s^2 = 9
But there are 2 of them so the total area = 2 * 9 = 18
Two Middle Triangles.
The height of each triangle = 7 - 3 = 4
The height of each triangle = 4/2 = 2
Each triangle has a height of 2
The length of each triangle = 5 + 5 = 10
Area of one triangle = 1/2 * 2 * 10 = 10
Area of both triangles = 20
Area of Left over rectangle.
Area = L*W
Area = 10 * 3
Area = 30
Total Area
30
20
18
68 is the total area.
Which I think is A. I really can't read the choices well
Answer:
68 In²
Step-by-step explanation:
Because it is the "Correct Answer"
If circle A has a radius of 4.7 cm, what is the diameter?
Answer:
7.4cm
Step-by-step explanation:
diameter =2radius
=2×4.7
=7.4cm
The diameter of circle A with a radius of 4.7 cm is 9.4 cm.
Explanation:To find the diameter of a circle, you can use the formula: diameter = 2 * radius. Given that circle A has a radius of 4.7 cm, the diameter would be 2 * 4.7 = 9.4 cm.
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what is 32.5 cents as a decimal
Answer:
32.5
Step-by-step explanation:
its a trick question
If d represents how many days are left in school this year,which inequality states we have at most 95 days?
Answer:
d ≤ 95
Step-by-step explanation:
The inequality that states we have at most 95 days is d≤ 95.
What is an inequality?A connection between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.
The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.
If d represents how many days are left in school this year.
And we have at most 95 days.
Then,
d can not be more than 95.
d ≤ 95
Therefore, the inequality is d ≤ 95.
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X/3 - 2 + 6 what is the answer
Answer:
[tex]\frac{x}{3}[/tex]+4
Step-by-step explanation:
I don't think it can be simplified more than that
Answer:
x= -12
Step-by-step explanation:
x/3 -2+6 =0
x/3 +4 =0
x/3 = -4
x/3 (3) = -4 (3)
x = -12
Bryn checked the measures of the stairs to make sure they formed a right triangle. The measures of the steps were 5 in., 13 in., and 12 in. Bryn’s work is shown below: 1. 5 squared + 13 squared = 12 squared. 2. 25 + 169 = 144. 3. 194 not-equals 144. Conclusion: Not a right triangle. Did Bryn come to the correct conclusion? If not explain her error. No. In step 1 she did not apply the Pythagorean theorem correctly. No. In step 2 she did not square each term correctly No. She should have used the outcome from step 3 to conclude that the triangle is a right triangle. Yes, Bryn came to the correct conclusion.
Answer:
a
Step-by-step explanation:
i got it right!
Answer:
A
Step-by-step explanation: i got it right on edg-enuity
chang reads 9 3/4chapters in 4 1/2 hours. what is the unit rate in chapters per hour? write your answer as a fraction or a mixed number in simplest form.
Answer:
2 1/6 chapters per hour
Step-by-step explanation:
Find the unit rate, as follows:
9.75 chapters
----------------------- = 2.166666 ... chapters per hour, or
4.5 hours 2 1/6 chapters per hour
The unit rate in chapters per hour is 13/6.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Chang reads 9 3/4 chapters in 4 1/2 hours.
So, the unit rate of reading is
= 9 3/4 / (4 1/2)
= (39/4) / (9/2)
= 39/4 x 2/9
= 13/2 x 1/3
= 13/6.
Hence, the unit rate is 13/6.
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If f(x) = − 5, what is f(8.6)? 3 4 8 9
Answer:
B or 4
Step-by-step explanation:
Find the measure of y.
A.85
B.102
C.122
D.138
Answer:
102
Step-by-step explanation:
Rewrite 47/9 as a mixed number in lowest terms.
Answer:
5 2/9
Step-by-step explanation:
Answer: 5 and 2/9
Step-by-step explanation: Since 9 goes into 47 five times with a remainder of 2, 47/9 is equal to the mixed number 5 and 2/9.
Maya scored 32 out of 40 for a Math's test and 41 out of 55 for a science's test. For which test did she score a lower percentage.
Answer:
He score lower on the 41 out of 55
Step-by-step explanation:
32/40 = .80 or 80%
41/55 = 0.75 or 75%
Answer:
Lower score in Science
Step-by-step explanation:
32/40 × 100 = 80%
41/55 × 100 = 74 6/12 %
Need this answered today, will give brainliest: The Steelers are on the Cowboys’ fifteen-yard line. Use your place value mat or number line to calculate how
much farther the Steelers need to travel to score a touchdown.
Answer: 15 yards
Step-by-step explanation:
From the question, we have been informed that the Steelers are on the Cowboys' fifteen-yard line. Using the place value mat to calculate how much farther Steelers need to travel to score a touchdown goes thus:
Since the play is 15 yards from the Cowboys end-zone, therefore Steelers need to travel 15 yards for them score a touchdown.
Final answer:
The Steelers are 85 yards away from the end zone.
Explanation:
To calculate how much farther the Steelers need to travel to score a touchdown, we need to know the distance from the Cowboys' fifteen-yard line to the end zone. The distance between each yard line on a football field is 10 yards. Since the Steelers are on the fifteen-yard line, they are 85 yards away from the end zone (100 yards - 15 yards = 85 yards).
Twenty packs of fruit snacks come in a box.Each pack weighs 6 ounces.Studwnts eat some.Thete are 48 ounces of fruit snacks left in the box.How many ounces of fruit snacks did the students eat?
Answer
The student ate 72ounces of fruit snacks
Explanation
If there are 20packs of fruit snacks in a box and each pack weighs 6 ounces, the total weight of 20packs will be 20×6 = 120ounces
If there are 48 ounces of fruit snacks left in the box after student has eaten some, the amount of ounces of fruit eaten by the student will be:
Total number of ounces of 20packs - weight of left over snacks
= 120-48
= 72ounces
The students ate 72 ounces of fruit snacks.
First, we need to calculate the total weight of the fruit snacks when the box is full. Since there are 20 packs in a box and each pack weighs 6 ounces, the total weight of a full box is:
[tex]\[ 20 \text{ packs} \times 6 \text{ ounces/pack} = 120 \text{ ounces} \][/tex]
Next, we are given that there are 48 ounces of fruit snacks left in the box after the students have eaten some. To find out how many ounces were eaten, we subtract the remaining weight from the total weight of a full box:
[tex]\[ 120 \text{ ounces} - 48 \text{ ounces} = 72 \text{ ounces} \][/tex]
Therefore, the students ate 72 ounces of fruit snacks.
The students ate 72 ounces of fruit snacks.
what is 25 percent of 68
Answer:
17
Step-by-step explanation:
evaluate 0.3y + y/z when y=10 and z= 5
We need just to put y and z into polynomial, so
[tex]0.3 \times 10 + \frac{10}{5} = 3 + 2 = 5 \\ [/tex]
The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?
Answer:
The ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3
Step-by-step explanation:
The height of a right circular cylinder is 1.5 times the radius of the base.
Let the radius of base be x
So, Height of a right circular cylinder = 1.5x
Total surface area of cylinder =[tex]2 \pi r h + 2 \pi r^2 = 2 \pi r(h+r)=2 \pi \times x(x+1.5x)=2 \pi \times x \times 2.5x[/tex]
Curved surface area of cylinder = [tex]2 \pi rh = 2 \pi \times x \times 1.5 x[/tex]
So, Ratio of the total surface area to the lateral (curved) surface area of the cylinder = [tex]\frac{2 \pi \times x \times 2.5x}{2 \pi \times x \times 1.5 x}=\frac{2.5}{1.5}=\frac{25}{15}=\frac{5}{3}[/tex]
Hence the ratio of the total surface area to the lateral (curved) surface area of the cylinder is 5:3
Simplify -12.5 - (-4.8)
Answer: -17.5
Step-by-step explanation:Use this rule:
1. -a-b=-(a+b)−a−b=−(a+b).
-(12.5+4.8)−(12.5+4.8)
2.Use the algorithm method.
1
1 2 . 5
+ 4 . 8
1 7 . 3
3.After simplification, we have:
-(12.5+4.8)=-17.3−(12.5+4.8)=−17.3
4. Therefore, -12.5-4.8=-17.3−12.5−4.8=−17.3.
-17.3−17.3
What is the solution to the equality below? -2x + 6 > 3x - 4
Answer:
2 > x
Step-by-step explanation:
-2x + 6 > 3x - 4
Add 2x to each side
-2x+2x + 6 > 3x+2x - 4
6 > 5x-4
Add 4 to each side
6+4 > 5x-4+4
10 >5x
Divide each side by 5
10/5 > 5x/5
2 > x
Answer:
x < 2
Step-by-step explanation:
-2x + 6 > 3x - 4
6 + 4 > 3x + 2x
10 > 5x
2 > x
x < 2
PLEASE HELP ME!!! I ONLY HAVE 2 HOURS!!!
I am completing a color sheet for my math class. I have a set of markers with 2 purples, 1 black, 3 reds, 2 yellows, and 2 blues. What is the probability that I will randomly select a red marker, keep it, and then randomly select a yellow marker?
A. 47/90
B. 3/10
C. 1/15
D. 2/9
First, we have to add them all together to get the total amount of markers.
2 + 1 + 3 + 2 + 2 = 10
Red: 3/10
Yellow: 2/9
3/10 x 2/9 = 6/90
Simplify: 6/90 = 1/15
C. 1/15 would be your answer.
Hope this helps! Have a great day!
I need help solving this and could you give me the answer this time thx 7(4p + 2q + 3r) =?
Answer:
Step-by-step explanation:
7(4p +2q +3r)= 7*4p + 7*2q + 7*3r
= 28p + 14q + 21r
Answer:
28p + 14q + 21r
Step-by-step explanation:
There you go hope that helps