Answers
Hey there! Welcome to Brainly! I'm happy to help you!
ANSWER A
If two events is mutually exclusive, it means that they cannot occur at the same time. Coin tossing is an example of something being mutually exclusive, landing on heads and tails cannot happen at the same time; it's either one or the other! In our case, this is not the case. The pizza having mushrooms on it does not affect the type of crust. The crust type and mushrooms can happen at the same time; you can have both! Therefore, Thick Crust Pizza and Pizza with mushrooms are not mutually exclusive.
ANSWER B
ANSWER 1: We know that there are nine pizzas in the oven. Looking at the chart, we see that three total pizzas have thick crust. One of them has no mushrooms and two of them do have mushrooms. This probability is 3/9, or 1/3.
ANSWER 2: We want to find a pizza that has both mushrooms and a thick crust. As we saw when solving for Answer 1, we have that 2 pizzas have both thick crust and mushrooms. This probability is 2/9.
ANSWER C
A dependent event is one that will depend on the result before it. Thick crust pizza and mushrooms do not affect each other at all; they do not depend on each other. They both do their own thing. We need to justify with things we found in Answer B. Well, when we added the event of mushrooms our probability decreased. If one of the events depended on the other, the probability would have definitely increased. Therefore, these events are both independent.
I hope that this helps you! Have a wonderful day!
Related Questions
Finding the work done in stretching or compressing a spring.
Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.
In this problem we assume that the force applied doesn't distort the metal in the spring.
A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.
Answers
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
Tuli is 10 years younger than Emily. The product of their
ages 2 years ago was 39. Let the present age of Emily
be A. Which of the following quadratic equations does A
satisfy?
Answers
Answer:
a² - 14a - 15 = 0 (quadratic equation)
Emily's age = 15 years
Tuli's age = 15 - 10 = 5 years
Step-by-step explanation:
let
Emily age = a
Tuli age = a - 10
Two years ago their ages will be as follows.
Emily's age = a - 2
Tuli's age = a - 10 - 2 = a - 12
The product of their ages 2 years ago is 39.
(a - 2)(a - 12) = 39
a² - 12a - 2a + 24 - 39 = 0
a² - 14a - 15 = 0 (quadratic equation)
To get a
a² + a - 15a - 15 = 0
a(a + 1) - 15(a + 1)
(a + 1)(a - 15)
a = -1 or 15
we can only use 15 as it is positive.
Place one digit in each blank. Use 0 if there is no other number to fill the blank.
Joshua counted 7/10 of the chicken eggs. Daniel counted 3/10 of the chicken eggs.
What is the difference between the fraction of eggs counted by each boy?
Write the answer as a decimal in the place value chart.
ones . tenths
.
Answers
Answer:
4/10 dumbaass
Step-by-step explanation:
Answer:
4/20
Step-by-step explanation:
Compute the amount of interest earned in the following simple interest problem. A deposit of $4,500 at 5% for 3 years:
$67.50
$6.75
$675.00
$6,750.00
Answers
Answer:
$675.00
Step-by-step explanation:
4500 x 0.05 x 3 = 675
A ball is thrown straight up from a cliff. The function f(x)= -4.9t^ + 17t +19 describes the height of the ball, in meters, as a function of time, t, in seconds. What is the maximum height of the ball? At what time is the height reached? Round your answer to one decimal place.
Answers
Answer:
33.7 m at 1.7 seconds
Step-by-step explanation:
For quadratic ax^2+bx+c, the line of symmetry (x-coordinate of the vertex) is ...
-b/(2a)
For your quadratic, the vertex (highest point) is reached at time ...
t = -(17)/(2(-4.9)) = 17/9.8 ≈ 1.7 . . . . seconds
__
The height at that time is ...
f(17/9.8) = (-4.9(17/9.8) +17)(17/9.8) +19 = 289/19.6 +19 ≈ 33.7 . . . meters
_____
Comment on the function evaluation
We have used the "Horner form" of the function to make evaluation easier.
f(t) = (-4.9t +17)t +19
A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in rent and $1,200 in employee wages. If the hot dog stand sells 3,120 hot dogs in a month, how much will the hot dog stand earn in profit?
Answers
Answer:
$2680
Step-by-step explanation:
3.00-1.50= 1.50 profit per hotdog
1200+800=2000 expenses
1.50 (3120) = 4680
4680-2000=
2680 in profit
Please help me - Homework
Answers
Answer:
Step-by-step explanation:
A= 2(5*2) + 2(1*4) + (3*5) + 2(2*3) + (1*3) + (4*3) + (6*3) = 88 cm^2
In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?
Answers
Answer:
61%
Step-by-step explanation:
First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.
Round 78500 to the nearest thousand. Enter your answer in the box below
without a comma.
Answers
Answer:
79000
Step-by-step explanation:
The 8 is in the thousands place. We look at the hundreds place
5 is in hundreds place. It is 5 or greater so we round up
The 8 becomes a 9
78500 becomes 79000
Find the arc length of a partial circle with a radius of 5
Will mark brainlist! pleaseeee
Answers
Answer:23.55
Step-by-step explanation:
radius=r=5
Φ=360-90
Φ=270
π=3.14
Length of arc=Φ/360 x 2 x π x r
length of arc=270/360 x 2 x 3.14 x 5
Length of arc=0.75 x 2 x 3.14 x 5
Length of arc=23.55
Answer:
23.55 units
Step-by-step explanation:
Hope this helps!
Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?
A.) The p-value is 0.0013. He should reject the null in favor of the alternative.
B.) The p-value is 0.0013. He should fail to reject the null.
C.) The p-value is 0.9987. He should reject the null in favor of the alternative.
D.) The p-value is 0.9987. He should fail to reject the null.
E.) There is not enough information provided to calculate the p-value and make a conclusion.
Answers
Answer:
The p-value is 0.0013. He should reject the null in favor of the alternative.
Step-by-step explanation:
We are given that Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair.
The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails.
Let p = proportion of occurrence of tail.
SO, Null Hypothesis, [tex]H_0[/tex] : p = 0.50 {means that it turns up tails equal to that it should if it were fair}
Alternate Hypothesis, [tex]H_A[/tex] : p < 0.50 {means that it turns up tails less often than it should if it were fair}
The test statistics that would be used here One-sample z-test for proportions;
T.S. = [tex]\frac{\hat p-p}{\sqrt{\frac{ p(1-p)}{n} } }[/tex] ~ N(0,1)
where, [tex]\hat p[/tex] = sample proportion of tails occurrence = [tex]\frac{35}{100}[/tex] = 0.35
n = sample of trails = 100
So, the test statistics = [tex]\frac{0.35-0.50}{\sqrt{\frac{0.50(1-0.50)}{100} } }[/tex]
= -3
The value of z test statistics is -3.
Also, P-value of the test statistics is given by;
P-value = P(Z < -3) = 1 - P(Z [tex]\leq[/tex] 3)
= 1 - 0.9987 = 0.0013
Since, the P-value of test statistic is less than the level of significance as 0.0013 < 0.01, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that it turns up tails less often than it should if it were fair.
Function
Which ordered pair is on the inverse of f(x)?
© (-4,-2)
o (-2,-2)
o (-1,-2)
*
f(x)
|
-2
DONE
-1
NolNb
1
Answers
Answer:(-1,-2)
Step-by-step explanation:
Identify two ways that native Americans resisted being relocated
Answers
Answer:
Tortured and kidnapped white colonists, and some started wars.
Please help ASAP! I will mark BRAINLIEST!! Please answer correctly! No guessing!
Answers
Answer:
exponential decay...................
Answer:
exponential decay
Step-by-step explanation:
If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b
We start with 100 items
100, 50 ,25, 12.5
this is not linear so it must be exponential decay
the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?
Answers
Answer:
116.82 square inches
Step-by-step explanation:
The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.
The area of the four triangles is ...
total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²
The area of the 10-inch square is ...
square area = (10 in)² = 100 in²
Then the total window area is ...
window area = 16.82 in² +100 in²
window area = 116.82 in²
Assume that the probability of a driver getting into an accident is 5.7% and
that the average cost of an accident is $24,500. If the driver's insurance
premium is $1686.50, what is the overhead cost for the insurance company
to insure the driver?
A. $256
B. $190
C. $290
D. $260
Answers
Answer:
C. $290
Step-by-step explanation:
The expected cost is:
E = 1686.50 − (0.057) (24500)
E = 290
Shown below is a regular pentagon inscribed in a circle. Calculate the area of the shaded region. Round your answer to the nearest tenth.
Answers
Answer:
S(a) = 27,5036 squared units
Step-by-step explanation:
Shaded area is :
S(a) = Area of the circle - area of the regular pentagon (1)
A(c) = area of the circle
A(c) = π*(r)² ⇒ A(c) = π*(6)² ⇒ A(c) = 36*π ⇒ A(c) = 113,0976 squared units
Area of a regular pentagon:
a) If we draw a straight line between the center and each vertex we get 5 triangles, and if we draw the apothem for each side, we get 10 triangles. We will calculate the area of one of these triangles
The first 5 triangles has a central angle equal to 72⁰ according to:
360/5 = 72
When we divide these triangles in two triangles by means of the apothem, each central angle will be of 36⁰, then
sin 36⁰ = 0,58778 and cos 36⁰ = 0,809017 and sin 36⁰ = x/6 here x is half of the side of the regular pentagon. Then
0,58778 = x/6
x = 6*0,58778
x = 3,52668 units of length
and cos 36⁰ = a/6 where a is the apothem, then
0,809017 = a / 6 ⇒ a = 6*0,809017
a = 4,8541 units of length
Now we are in conditon to calculate area of the triangles as:
A(t) = (1/2)*b*h
A(t) = (1/2)*x*a ⇒ A(t) = 0,5* 3,52668*4,8541
A(t) = 8,5594 squared units
Finally we have 10 of these triangles, then
Area of regular pentagon is : 10*A(t) squared units
A(p) = 85,594 squared units
Now plugging these values in equation (1) we get the shaded area
S(a) = 113,0976 - 85,594
S(a) = 27,5036 squared units
3/4 x 1/4
next problme: 3/5 x 1/5
100 pts
Answers
Answer:
0.1875 and 0.12
Step-by-step explanation:
3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12
Answer:
1)0.1875
2)0.12
Step-by-step explanation:
What’s the correct answer for this?
Answers
Answer: a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It would still be 10° because dilation doesn't change angles
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answers
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?
190
200
210
220
Answers
Answer:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
5.5pi = angle/360 * pi * 9
5.5 = angle/360 * 9
angle = (5.5 * 360)/9 = 40 * 5.5 = 220
What’s the correct answer for this?
Answers
Answer:
c
Step-by-step explanation:
The height of a triangle is 18 inches. Find the length of the base if the area of the triangle is 63 square inches
Answers
Answer:
7 inches
Step-by-step explanation:
The area of a triangle is found by
A = 1/2 bh
We know the height is 18 and the area is 63
63 = 1/2 (b)(18)
63 = 9b
Divide each side by 9
63/9 = 9b/9
7 = b
The base is 7 inches
Answer:
7 inches
Step-by-step explanation:
Area = ½ base × height
63 = ½ × base × 18
63 = 9 × base
base = 7 inches
Evaluate 12 ➗(0.9 -0.04
Answers
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
(5+2×3)−4+(5x5) ? Highly appreciate it. :)
Answers
Answer:
32
Step-by-step explanation:
Answer: 32
Step-by-step explanation:
Matt says 3/3 is equivalent to 1 is he correct?
Answers
Answer: Yes
Step-by-step explanation:
It isn't an
1 an improper fraction
Less than the denominator
Therefore, three thirds or 3/3 is one whole fraction
Rly hope I helped!
☆꧁Ashlin꧂☆
Answer:yes he his correct
Step-by-step explanation:
3/3=1
What fraction equals 4
Answers
Here are a few 4/1 , 8/2 , 12/3
4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.
What is fraction?A fraction is defined as numerical representation for part of a whole which represents a rational number.
If the denominator is 1, the numerator can be taken as 4, so the fraction would become [tex]\frac{4}{1}[/tex] = 4
If the denominator is 2, the numerator can be taken as 8, so the fraction would become [tex]\frac{8}{2}[/tex] = 4
If the denominator is 3, the numerator can be taken as 12, so the fraction would become [tex]\frac{12}{3}[/tex] = 4
Thus, 4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.
Learn more about fraction
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The volume of a cone is 3x* cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
6x
370x2
O 90X2
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
The radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
Step-by-step explanation:
The formula of the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
r is radius of cone
h is height of cone
We have,
Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,
[tex]r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex]
So, the radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
Writing Percents as Fractions
a. Write 35% as a fraction in simplest form.
35% =
35
100
Write as a fraction with
a denominator of 100.
7
20
Simplity.
Answers
Answer:
Answers are below
Step-by-step explanation:
Percent means "out of 100" so 35% is 35/100. We can simplify this fraction by dividing the numerator and denominator by 5. 35/100 / 5 = 7/20.
7/20 multiply the numerator and denominator by 5.
7/20 x 5 = 35/100
If this answer is correct, please make me Brainliest!
Answer:
b and c
Step-by-step explanation:
Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.
She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
Answers
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.
