Answer:
A, C and D
Step-by-step explanation:
In this question, we are asked to select which of the options is/are example(s) of compound event(s)
The easiest way to answer this is to have an idea of what we mean by a compound event. When we talk about a compound event, we are referring to an event that has more than one outcome. This is a direct contrast to a simple event where we have only one outcome. To find the probability of a compound event, we shall need to add up the probabilities of all the single events that lies there in
In answering this question, we shall be considering the options one after the other.
A. It is a compound event
This is because we are looking at more than one event happening
B. It is not a compound event
It is not a compound event as we have only one outcome
C. This is a compound event
We have more than one outcome here. In fact, we are dealing with more than one sample space here
D. It is a compound event
We are working on different simple events here
E. It is not a compound event
It is not because we are only focused on a particular type of outcome
Answer:
A, C, D
A: drawing an ace and then a king from a deck of cards
C: rolling a 1 on a number cube and then tossing a coin and landing on tails
D: choosing a banana, then an apple, and then an orange from a fruit basket
Step-by-step explanation:
just did it on edge 2020 hope it helps
:)
2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
Step-by-step explanation:
if 2.5kg=£1.40
then 4.25kg=!
then cross multiply
4.25×1.40=2.5
5.95÷2.5kg=£2.38
Answer:
4.25 kg = £2.38
Step-by-step explanation:
The formula for working out the price per quantity is : [tex]\frac{Price}{Amount}[/tex]
To work this out you would first need to convert the mass of 2.5 kilograms into grams. You can do this by multiplying 2.5 by 1000, this gives you 2500 grams. This is because 1 Kg is equivalent to 1000 g and so by multiplying it by 1000 we are converting the kilograms into grams.
Then the next step is to divide the price of £1.40 by the quantity of 2500, this gives you 0.00056. This is because we are working out how much it costs for 1 g of potatoes.
Now that we know the price per gram we can now start working out the price of 4.25 kg. You can do this by first multiplying the mass of 4.25 kg by 1000, this gives you 4250. This is because we are converting the kilograms into grams.
The final step is to multiply the price per gram which is 0.00056 by 4250, this gives you £2.38.
1) Multiply 2.5 by 1000.
[tex]2.5*1000=2500[/tex]
2) Divide 1.40 by 2500.
[tex]1.40/2500=0.00056[/tex]
3) Multiply 4.25 by 1000.
[tex]4.25*1000=4250[/tex]
4) Multiply 0.00056 by 4250.
[tex]0.00056*4250=2.38[/tex]
The point P=\left(-\frac{1}{2},\,\, y\right)P=(− 2 1 ,y) lies on the unit circle shown below. What is the value of yy in simplest form? X y (1, 0) P (x, y
Answer:
[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]
Step-by-step explanation:
We are given a point P which lies on a unit circle
P = (-½, y)
Where x coordinate is -½ and y coordinate is y.
We are asked to find the value of y in simplest form.
Recall that a unit circle has a radius of 1 and is centered at the origin that is (0,0).
The equation of the unit circle is given by
[tex]x^{2} + y^{2} = 1[/tex]
Since the point P lies on a unit circle, we can substitute this point into the equation of unit circle and get the value of y.
Substitute x = -½ and y = y
[tex](-\frac{1}{2} )^{2} + y^{2} = 1\\\\(\frac{1}{4} ) + y^{2} = 1\\\\y^{2} = 1 - \frac{1}{4} \\\\y^{2} = \frac{3}{4} \\\\y = \pm \sqrt{\frac{3}{4}} \\\\y = \pm \frac{\sqrt{3}}{2}} \\\\[/tex]
Assuming that the given point P lies in the 2nd quadrant, the value of y will be positive.
[tex]y = \frac{\sqrt{3}}{2}} \\\\[/tex]
Therefore, the coordinates of the point P are
[tex]P =( -\frac{1}{2} , \frac{\sqrt{3}}{2}}) \\\\[/tex]
The equation of a circle is given below.
x^{2}+(y+4)^{2} = 64x
2
+(y+4)
2
=64x, squared, plus, left parenthesis, y, plus, 4, right parenthesis, squared, equals, 64
What is its center?
((left parenthesis
,,comma
))right parenthesis
What is its radius?
If necessary, round your answer to two decimal places.
units
Answer:
(h,k) = (32,-4)
r = 32
Step-by-step explanation:
The general equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (1)
where (h,k) is the center of the circle and r is the radius.
You have the following equation:
[tex]x^2+(y+4)^2=64x[/tex] (2)
You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:
2b = 64
b = 32
Then, you have to sum 32^2 and also subtract the same number in the expression (2):
[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]
you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32
Furthermore, the center of the circle is (h,k) = (32,-4)
I rolled a standard 6 sided die a total of 20 times and got the results as shown in the table below. Calculate the THEORETICAL probability of rolling a 5. (Round your answer to the nearest hundredths place.)
Die Roll:
1 0
2 1
3 4
4 5
5 9
6 1
Answer:
Step-by-step explanation:45
Answer:
About 0.17
Step-by-step explanation:
Rolling a 5: 1/6
1/6=0.166666...
Therefore, about 0.17
I hope this helped and have a good rest of your day!
A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.
Answer:The answer will be 35ft
Step-by-step explanation:
One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.
What is the area of the composite figure
to find the area of the figure, you first need to find the area of the separate figures: a triangle and a square.
first, find the area of the triangle:
multiply 13 and 5 to get 65.
divide 65 by 2.
32.5.
then, find the area of the rectangle:
multiply 5 and 14 to get 70.
add those answers up, and you get:
102.5
Two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. Find the corresponding height of M.
We have been given that two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. We are asked to find the height of M.
First of all, we will find the ratio between sides of rectangle M and N using proportions.
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{ Volume of N}}{\text{ Volume of M}}[/tex]
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{136\text{ cm}^3}{17\text{ cm}^3}[/tex]
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{8\text{ cm}^3}{1\text{ cm}^3}[/tex]
Now we will take cube root on right side to find length in cm.
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\sqrt[3]{\text{8 cm}^3}}{\sqrt[3]{\text{1 cm}^3}}[/tex]
[tex]\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{2 cm}}{\text{1 cm}}[/tex]
Therefore, sides of rectangle N is 2 times greater than sides of rectangle M.
To find height of rectangle M, we will divide side of rectangle N by 2.
[tex]\text{Height of rectangle M}=\frac{18}{2}=9[/tex]
Therefore, height of rectangle M is 9 cm.
the rational number of 2 x -7/4
Which two values are greater than 3/5
1/4
0.68
2/3
0.599
1/2
!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRAINLIEST♡
three fifths multiplied by two tenths
Answer:
0.12 in decimal form and fraction form is 3/25
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
three fifths times two tenths = six over fifty simplified version = three over twenty-five
Visitors to a public library were asked how many miles they lived from the library. The table shows their responses.
Number of miles
1.5 2.3 3.5 2 1.8
1.8 1.9 0.5 2.5 2.4
4.8 3.7 0.6 2 2.4
2.5 1.5 0.5 1.8 0.8
Of these visitors, the first 10 people to check out books lived the following miles from the library.
Number of miles
0.5 1.8 0.8 1.8 3.5
4.8 0.6 2 1.5 0.5
What is the sample mean for the data?
Enter your answer in the box.
x¯ = __ mi
Answer:
The sample mean = 1.8
Step-by-step explanation:
I just completed the test and this was the correct answer
The sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We have:
Total number of population = 20
To calculate the sample mean:
Total number of samples N = 10
Sum of the sample values ∑x = 0.5+1.8+0.8+1.8+3.5+4.8+ 0.6+ 2+1.5+0.5
∑x = 17.8
Now the mean of the sample data = ∑x/N = 17.8/10 = 1.78 ≈ 1.8
Thus, the sample mean for the data is 1.8 if the first 10 people to check out books lived out of 20 population.
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these 2 questions please will mark brainly
Answer:
[tex]28\sqrt{2}[/tex]
Step-by-step explanation:
To answer this question, you must split 98 into 2 factors:
98
2 49
7 7
2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:
[tex](7)4\sqrt{2}[/tex]
[tex]28\sqrt{2}[/tex]
if i fail a class for one semester will i fail6th grade
Answer:
yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much
Step-by-step explanation:
Someone help me please
Answer:
f(g(3)) =31
Step-by-step explanation:
f(x) = 3x+4
g(x) = x^2
f(g(3) ) =
First find g(3)
g(3) = 3^2 =9
The use 9 in f(x)
f(g(3)) = f(9) = 3*9+4 = 27+4 = 31
The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.
Answer: it is not a right triangle
12^2=7^2+10^2
144=49+100
144=149
To prove this we try the pitagor teorem which the largest side is the hypotenuse
It is not a right triangle.
We have given that,
The triangle has side lengths 7, 10, and 12.
What is the Pythagoraus theorem?
[tex]hypotenous^2=side^2+side^2[/tex]
12^2=7^2+10^2
144=49+100
144=149
The pitagor theorem which the largest side is the hypotenuse.
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Aaron baked two identical cakes. He cut one into 9 equal
slices and the other into 18 equal slices.show that 2/3 of the 9-slice cake gives the same
number of pieces as 1/3 of the 18-slice cake.
Answer:
23
Step-by-step explanation:
What is the probability that 2 randomly selected months have 31 days?
Answer:
31.8%
Step-by-step explanation:There are 7 months that have 31 days so,
The odds the first selected month has 31 days is 7/12
The next month there are only 6 months left with 31 days of only 11 months to choose from
so the odds for the second are 6/11
To calculate the odds they BOTH have 31 months you multiply the two odds:
(7/12) x (6/11) = 42/132 = .318 so 31.8%
The required probability is 0.318 or 31.8% (in the form of a percentage) that 2 randomly selected months have 31 days.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
There are 7 months with 31 days, therefore
The probability that the first picked month has 31 days is 7/12.
There are just 6 months left with 31 days of only 11 months to choose from the following month.
As a result, the odds for the second are 6/11.
To determine the probabilities that they both have 31 months, multiply the two odds:
⇒ (7/12) × (6/11)
⇒ 42/132
Apply the division operation,
⇒ 0.318
⇒ 31.8% in the form of a percentage
Thus, the required probability is 0.318 or 31.8% that 2 randomly selected months have 31 days.
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Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?
Answer:
He needs to sell at least 49 mugs.
Step-by-step explanation:
Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.
Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:
→ 3x > 144, x represents the number of coffee mugs
→ x > 48
→ x must be at least 49
Maggie buys 1 1/2 pounds of walnuts pounds of walnuts 8 ounces 8 ounces of pecans of pecans and 3/4 pounds of almonds how much do the nuts weigh in all
Answer:
[tex]2\frac{3}{4}[/tex] pounds
Step-by-step explanation:
Maggie buys 1 1/2 pounds of walnuts, 8 ounces of pecans and 3/4 pounds of almonds.
To find the total weight of nuts that she buys, let us first put all the weights in a single unit, pounds.
She buys 8 ounces of pecans.
1 ounce = 0.0625 pounds
8 ounces = 8 * 0.0625 = 0.5 pounds = 1/2 pounds
Therefore, the total weight of nuts that she buys is:
[tex]1\frac{1}{2} + \frac{1}{2} + \frac{3}{4}\\ \\\frac{3}{2} + \frac{1}{2} + \frac{3}{4} = 2\frac{3}{4}[/tex]
The nuts weight [tex]2\frac{3}{4}[/tex] pounds in all.
Answer:
the answer is 2 3/4 pounds
Step-by-step explanation:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.
Answer:
0 = x2 - 9x + 20
Step-by-step explanation:
y + 5x = x² + 10 Simplify this equation
- 5x - 5x
y = x² - 5x + 10
Set both equations equal to each other since they both equal y
x² - 5x + 10 = 4x - 10
-4x - 4x
x² - 9x + 10 = -10
+ 10 + 10
x² - 9x + 20 = 0
If this answer is correct, please make me Brainliest!
What are the solutions of the equation sec(x)cot(x)= -2 on the interval [0,2pi]? Choose all correct answers.
Answer:
The solutions are 7π/6 and 11π/6Step-by-step explanation:
Given the equation sec(x)cot(x)= -2 on the interval [0,2π]. In order to get the value of x, the following steps must be followed.
sec(x)cot(x)= -2
From trigonometry identity, sec(x)= 1/cos(x) and cot(x)= 1/tan(x) = cos(x)/sin(x)
subsituting this expressions in the given equation we have;
1/cos(x)*cos(x)/sin(x) = -2
1/sin(x) = -2
sin(x) = -1/2
[tex]x = sin^{-1}-1/2\\ x = -30^{0}[/tex]
Since sin is negative in the 3rd and 4th quadrant,
In the 3rd quadrant, x = 180+30 = 210°
In the 4th quadrant, x = 360-30 = 330°
Converting the values to radian;
since 180° = πrad
210° = 210π/180 rad
210° = 7π/6 rad
Similarly, 330° = 330π/180 rad
330° = 11π/6 rad
The solutions are 7π/6 and 11π/6
Which of the following descridbes the translation of the graph of y=x^2 to obtain the graph of y=-x^2-3
Answer:
the graph translated down 3 or y-3
Step-by-step explanation:
(-3) is the y-intercept
Order each set of the numbers from LEAST to GREATEST
0.23, 19%, 1/5
Find the area of a rectangle with the given base and height 9ft , 3in
Answer:
324 in^2
Step-by-step explanation:
If you transfer the 9 ft to inches you get 108 in
108x3=324
Answer:
21
Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.
60 + 7.20 + 7.80 please math is so dumb
Answer: 75
Step-by-step explanation: 7.20+7.80=15 then 15+60=75
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
which of the following is equivalent to 5 cube root 13^3
Answer:
d. 13 raise power 3/5
Step-by-step explanation:
A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is the maximum area of the dog pen?
Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]
-4x + 60 = 0
-4x = -60
[tex] x = \frac{-60}{-4} = 15 [/tex]
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²
An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?
Write the equations:
a +c = 15
a = 15-c
29.95a + 21.95c = 353.25
Replace a in the last equation:
29.95(15-c) + 21.95c = 353.25
Simplify:
449.25 - 29.95c + 21.95c = 353.25
449.25 - 8.00c = 353.25
Subtract 449.25 from both sides:
-8.00c = -96.00
Divide both sides by -8.00:
c = -96 / -8
c = 12
There were 12 children.
if 2x+15= 30
then what is x?
Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
