Answer:
[tex]68\%[/tex]
Step-by-step explanation:
Let A be the event that Daniel receives call from SeaWorld.
Probability of event A, P(A) = [tex]35\%[/tex]
Let B be the event that Daniel receives call from Central Park Zoo.
Probability of event B, P(B) = [tex]48\%[/tex]
Probability that Daniel receives calls from both SeaWorld and Central Park Zoo:
[tex]P(A \cap B) = 15\%[/tex]
We know that formula:
Probability that Daniel receives call from either SeaWorld or Central Park Zoo but not both:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\\Rightarrow P(A \cup B) = 35\% + 48\% - 15\%\\\Rightarrow P(A \cup B) = 68\%[/tex]
Hence, required probability is [tex]68\%[/tex].
Answer:
Step-by-step explanation:
Which equation represents the following graph y=3x+2
For this equation you simply have to graph it.
First, you have to remember that these equations follow a formula: y=mx+b. m is the slope of you line and b is the y-intercept.
Next, you need to graph it. First, graph your b, in this case 2. You would go up 2 on you graph (graph (0,2)). Then, you would graph your slope which is 3.
Now, remember that slope equals y/x, so think of the number 3 being like 3/1. You would start at (0,2) and go up 3 points in the graph, then over 1 point (graph where you end up). You repeat that from each new point you make until you have enough points to create a straight line.
Hope this helps a bit,
Plot the vertices (-2, -8), (-2, 2), and (8, 2).
What is the last vertex of the rectangle?
What is the area of the rectangle?
square units
Answer:
(8, -8)100 square unitsStep-by-step explanation:
The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...
(A+C)/2 = (B+D)/2
D = A + C - B
D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)
D = (8, -8)
__
The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.
_____
Comment on side lengths
When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.
Answer:
the last vertex is (8,-8)
the area of the rectangle is 100 square units
Step-by-step explanation:
What does up this mean?
Assignment
What is the point-slope form of a line that has a slope of 3 and passes through the point (-1,4)?
Answer:
y -4 = 3(x +1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m passing through point (h, k) is ...
y -k = m(x -h)
Your values for these parameters are ...
m = 3
(h, k) = (-1, 4)
Filling these into the form gives the equation you're looking for:
y -4 = 3(x +1)
A cone and cylinder have the same height and their bases are congruent circles. If the
volume of the cylinder is 120 in3, what is the volume of the cone?
Answer:
40 in³
Step-by-step explanation:
You want the volume of a cone if the volume of a cylinder with the same radius and height is 120 in³.
FormulasThe formulas for the volume of a cylinder and cone are ...
V = πr²h . . . . . volume of a cylinder with radius r and height h
V = 1/3πr²h . . . . . volume of a cone with radius r and height h
Cone volumeIf the volume of the cylinder is such that ...
πr²h = 120 in³,
we can substitute for πr²h in the formula for the volume of the cone:
V = 1/3πr²h = 1/3(120 in³) = 40 in³
The volume of the cone is 40 in³.
What is the value of the expression 5 × (4 + 3) – 4
Answer:
31
Step-by-step explanation:
distribution
5(4+3) - 4
20+15-4
=31
Answer:
19
Step-by-step explanation:
5 x 4 = 20 + 3 = 23 - 4 = 19 I hope this helps
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations of 5 friends could
possibly receive the tickets?
OA. 13
OB. 40
C.
56
D.
64
Answer: They can do 56 different combinations.
Step-by-step explanation:
744-__=312+220 I m in need
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
D. [tex]d=\frac{C}{\pi }[/tex]
Step-by-step explanation:
C = πd
In order to solve for d, we need to divide both sides of the equation by πDoing so we get [tex]\frac{C}{\pi } =\frac{\pi d }{\pi }[/tex] This then simplifies to [tex]\frac{C}{\pi } =d[/tex]Please answer number 5 I give brainliest thank you!
Answer:
Mean : 66
Mode: 80
Median:70
Step-by-step explanation:
Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66
Mode most occurring, so 80.
Median arrange in ascending order and find middle value, so 70
Decide whether the relation defined by the graph to the right defines a function, and give the domain and range.
Does the graphed relation define a function?
Mrs. bell wrote the expanded form of a number, as shown. 5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000
Answer:
546.208
Step-by-step explanation:
Let's break this down.
5 x 100 = 500
4 x 10 = 40
6 x 1 = 6
2 x 1/10 = .2
8 x 1/1000 = .008
Now, let's add to find the number.
500 + 40 + 6 + .2 + .008 = 546.208
Therefore, the number in standard form is 546.208
The final answer of Mrs. bell expression will be 546.208
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
the expanded form of a number is written as :
5 x 100 + 4 x 10 + 6 x 1 + 2 x 1/10 + 8 x 1/1000
Let's calculate it bit by bit :
[tex]\begin{aligned}5 \cdot 100 = 500\\4 \cdot10 = 40\\6 \cdot 1 = 6\\2 \cdot \frac{1}{10} = .2\\8 \cdot \frac{1}{1000} = .008\\\end{aligned}[/tex]
Now, let's add all the terms we get :
500 + 40 + 6 + .2 + .008 = 546.208
Therefore, the number in standard form of expression written by Mrs. bell is 546.208
Read more about property of addition here :
https://brainly.com/question/14391436
#SPJ2
a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created? simplify 2/16 first to make your work easier.
Answer:
There are going to be 7 sections in the path
Step-by-step explanation:
First Step:
Simplify 2/16 in 1/8
Second Step:
Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.
Renting a trailer for 4 days costs $84. Renting the trailer for 5 days costs $100. Using the
linear equation above that represents the (days, cost) which of the following choices
would be the cost for renting the trailer for 10 days?
Answer:
$210
Step-by-step explanation:
do 84/4 to find out money per day which is 21. 21 x 10 = 210
therefore 210 is the answer
What is the vertex of the function " f(x) = x2 – 8x – 9 "
Answer:
(4, -25)
Vertex form: (h, k)
Answer:
Hey!
Your answer is (4, -25) in the vertex form which is (h,k)
Step-by-step explanation:
HOPE THIS HELPS!!
PLEASEE HELPP MEEE WITH NUMBERSSS 6 AND 7
ILL MARKK U BRAINLIEST FOR UR EFFORT FOR THE CORRECT ANSWER!!!!!!!!!! I PROMISEEEEEEEE
Answer:
I want brainliest!!! u promisteed
Step-by-step explanation:
1) 180-114 = 66
angle three = 66
360 = 70 + 70 + angle two + angle two
220 = angle two + angle two
angle two = 110
Use the vertical line test to determine which graph does not repela function
Answer:
graph b
Step-by-step explanation:
if you put vertical lines through all graphs (this is the vertical line test) they shouldn't pass through more than one line, but in graph B it does. So B doesn't represent a function
Answer:
the answer is graph b
Step-by-step explanation:
Hannah is a freshman in college. Her scholarship indicated that each quarter she has $1000 deposited into a meal plan account for her to use to purchase food. Every day Hannah spends $25 on food. Let f(x) represent the amount of money remaining in the account and x represent the number of days.
Answer:
f ( x ) = $1000 - $25*x
( 40 days, $0 )
( 0 days , $1000 )
Step-by-step explanation:
Solution:-
- Every quarter Hannah receives $1000 in her account for meal plan.
- So for a quarter of a year she has $1000 to spend.
- She spends $25 on food each day; hence, an amount of $25 is deducted each day.
- We can mathematically express the amount remaining in her account after ( x ) days as follows:
y = f(x) = Initial deposit - (per day deduction)*x
Where,
y: The amount remaining in Hannah's account after x days.
- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.
y= f(x) = $1000 - ($25)*x
- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.
- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:
f ( x ) = 1000 - 25x = 0
x = 1000 / 25
x = 40 days
- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:
( 40 days , $0 ) ... Answer
- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):
f ( 0 ) = 1000 - 25*0
f ( 0 ) = $1000
- The ordered pair for the y-intercpet would be:
( 0 days , $1000 ) ... Answer
A survey asked people how they get to work or school, based on what kind of area they live in. The results are shown in the table below. What is the conditional relative frequency of people in suburban areas who drive to work? Urban Suburban Rural Total Walk 19 4 10 33 Bike 15 12 8 35 Public Transportation 22 17 7 46 Drive 6 20 33 62 Total 62 53 58 176
Answer:
We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.
Step-by-step explanation:
hope it helps ig
A 7 kg ham costs $19/kg. Find the cost per pound.
Answer: [tex]\$8.62/\text{Pound}[/tex]
Step-by-step explanation:
Given
There is [tex]7\ kg[/tex] of ham available which costs
cost[tex]=\$\ 19/kg[/tex]
i.e.
[tex]1\ kg\ \text{costs}\ \$19[/tex]
and we know
[tex]1\ kg=2.204\ \text{pound}[/tex]
So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]
thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]
Suppose Lorenzo and Neha are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Lorenzo chooses Right and Neha chooses Right, Lorenzo will receive a payoff of 6 and Neha will receive a payoff of Neha Left RightLorenzo Left 8, 4 4, 5 Right 5, 4 6, 5The only dominant strategy in this game is for _________ (Neha/Lorenzo) to choose ______________(Right/Left)t .The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses ___________ (Right/Left) and Neha chooses _________ (Right/Left) .
Answer:
In the field of economics, more specifically game theory, describes the interaction involving candidates where one cannot have an advantage over the other if the latter makes no change in their strategy - is referred to as the Nash Equilibrium.
The correct option has been inserted in the blank and underlined, please see below:
The only dominant strategy in this game is for Neha to choose Right.The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses Right and Neha chooses Right.
Hope that answers the question, have a great day!
A man loses 20 percent by selling an article for 11 naira. What was the cost price of the article
Answer:
hbbhhhhhggggg
Step-by-step explanation:
vgggggffffff
Is my answer of mine days right.
Answer:
indeed it is
Step-by-step explanation:
In a class,three fifths of the children are girls.what percentage are boys.
Answer:
40%
Step-by-step explanation:
If 3/5 = .06 are girls
that means
2/5 = .04 are boys
now
5/5 = 1 are the total children
Finally find the percentage
(.06)(100) = 60% girls
(.04)(100) = 40% boys
What’s the correct answer for this?
Answer:
Option (2)
Step-by-step explanation:
Equation of the circle has been given as x² + 12y + 22x + y²- 167 = 0
Now we will convert this equation into the standard equation of the circle.
x² + 12y + 22x + y² - 167 = 0
(x² + 22x) + (y² + 12y) = 167
[x² + 2(11)x] + [y² + 2(6y)] = 167
[x² + 2(11)x + (11)²- (11)²] + [y² + 2(6)y + (6)²- (6)²] = 167
[x² + 1(11)x + (11)²] - (11)² +[y² + 2(6)y + 6²] - (6)² = 167
(x + 11)² + (y + 6)²- (11)²- (6)² = 167
(x + 11)² + (y + 6)² - 121 - 36 = 167
(x + 11)² + (y + 6)² - 157 = 167
(x + 11)² + (y + 6)²- 157 + 157 = 167 + 157
(x + 11)² + (y + 6)² = 324
Therefore, option (2) will be the standard equation of the given circle.
Evaluate 15 + |-3| - 4
Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:
15 + |-3| - 4 → 15 + 3 - 4
Remember to follow PEMDAS when solving.
(15 + 3) - 4
18 - 4
14
Therefore, the answer is 14.
Best of Luck!
Answer: 14
Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.
So the absolute value of -3 would be 3.
So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.
Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.
It's a good habit to get into for future problems.
what is the circumference of the semicircle
Answer:
[tex]12.56m[/tex]
Step-by-step explanation:
[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]
Answer:
this answer is attached to the picture
need some assistance on this question.
Answer:
Surface area = [tex]2 \pi r^2 = 2 (12)^2 \pi in^2 = 288 \pi in^2[/tex]
Volume =[tex] 2/3 \pi r^3 = 2/3 (12)^3 \pi in^3 = 1152 \pi in^3[/tex]
Answer:
volume = 2/3πr³
2×π×12×12×12
3
1152π
surface area= 2πr²
2×π×12×12
288π
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =60 inches
Central Angle of the sector =30°
(a)Arc Length
Arc Length [tex]=\dfrac{\theta}{360^\circ}X2\pi r[/tex]
[tex]=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)[/tex]
(b)Area of the sector
Area of the sector [tex]=\dfrac{\theta}{360^\circ}X\pi r^2[/tex]
[tex]=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)[/tex]
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(1)State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
(2)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
(3) What is the p-value? (Round your answer to four decimal places.)
(4)Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
Answer:
Step-by-step explanation:
Corresponding response ratings of wives and husbands form matched pairs.
The data for the test are the differences between the response ratings.
μd = the wives response ratings minus their husband's response ratings.
Wives. Husbands diff
2 2 0
2 1 1
3 2 1
3 3 0
4 2 1
2 1 1
1 1 0
1 1 0
2 2 0
4 4 0
Sample mean, xd
= (0 + 1 + 1 + 0 + 1 + 1 + + 0 + 0 + 0 + 0)/10 = 0.4
xd = 5.67
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2+ (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 = 2.4
Standard deviation = √(2.4/10
sd = 0.49
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9
2) The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (0.4 - 0)/(0.49/√10)
t = 2.581
3) We would determine the probability value by using the t test calculator.
p = 0.0148
4) Assume alpha = 0.05
Since alpha, 0.05 > than the p value, 0.0148, then we would reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that the mean difference in the husband's versus the wife's satisfaction level is negative