Answer:
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Visited Busch Gardens.
Event B: Visited Sea World.
The probability of visiting Busch Gardens is 40%
This means that [tex]P(A) = 0.4[/tex]
The probability of visiting Sea World given that they visited Busch Gardens is 60%
60% of 40%, which means that:
[tex]P(A \cap B) = 0.6*0.4 = 0.24[/tex]
The agent knows the probability of this type of family visiting either Busch Gardens or Sea World is 70%.
This means that [tex]P(A \cup B) = 0.7[/tex]
Te agent wants to determine the probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
This is P(B).
These probabilities are related by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Replacing the values
[tex]0.7 = 0.4 + P(B) - 0.24[/tex]
[tex]0.16 + P(B) = 0.7[/tex]
[tex]P(B) = 0.54[/tex]
0.54 = 54% probability that this family will visit Sea World without consideration to the fact that they visited Busch Gardens.
There are 15 boys and 18 girls in seventh grade. Find the ratio of boys to girls in seventh grade.
Answer:
15:18
Step-by-step explanation:
what is the slope line
Answer:
In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.
Answer:
Uphill slopes are positive slopes.
The slope will be a positive number like 5 or 2/3.
Downhill slopes are negative slopes.
The slope will be a negative number like -7 or -1/3.
Step-by-step explanation:
Is the relationship between the number of days and the number of hours proportional?
Answer:
yes because no matter what 24 hrs will equal a day
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Find the circumference of the circle.
Answer:
the 3rd one 72.22 is the answer
Answer:
the formula for it is 2*3.14*r
so to get the radius you divide the diameter by two, so 23 divided by 2 is 11.50
so then we do 2*3.14*11.50= 77.22
there u go!
Step-by-step explanation:
what is the median of these numbers
Answer:
38.5
Step-by-step explanation:
Find the value of x
(21x - 10)
19xº
Answer:
0
Step-by-step explanation:
First we move all the terms to the left so it will be 21x-10-(19x)=0 hope I helped good luck
Answer this correctly and explain your answer I’ll give you brainalist + 10 points
Answer:
D
Step-by-step explanation:
Use triangle inequalities:
7+10>x
x+10>7
x+7>10
Solve these and the conclusion is that it needs to be greater than 3 but less than 17.
Answer:
D) greater than 3 but less than 17
Step-by-step explanation:
The third side must be greater than the difference and smaller than the sum of the two other sides.
10-7=3
10+7=17
so the third side must be greater than 3 and less than 17
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p, q) = 8qe−p + 4pe−q, (0, 0) maximum rate of change $$ Correct: Your answer is correct. direction $$
Answer:
Step-by-step explanation:
[tex]Given \ f (p,q) = 8qe^{-p} + 4pe^{-q} \ where \ P_o(0,0) \\ \text{thus the gradient of f is: } \\ \\ \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\ \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q} \\ \\ Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)}) \\ \\ = (0+8,4-0) = (8.4)[/tex]
[tex]\Big| \Big | \bigtriangledown f(0,0) = \sqrt{(8)^2+4^2} \\ \\ = \sqrt{64+16} \\ \\ = \sqrt{80}[/tex]
[tex]\mathbf{the \ direction \ of \ maximum \ change \ is }= \mathbf{\sqrt{80}} \\ \\ \mathbf{direction }(8,4)[/tex]
The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?
36 ft
30 ft
38 ft
360 ft
Answer:
30 ft
Step-by-step explanation:
18 in=1.5 ft
20*1.5=30
Unit 10: Circles Homework 4: Inscribed Angles
Find each angle or arc measure of mRS
Answer:
96 degrees
Step-by-step explanation:
Since you know that arc are twice the angle measure, that means arc RT is 42 * 2 = 84. Then, you have to find the measure of RS.
Remember that arc RT and RS have to add up to 180 degrees because they form a semicircle (half of a circle).
To find the measure of RS, just do 180 - 84 = 96 degrees.
the equation y=ax describes the graph of a line if the value of a is negative the line
Answer:
Goes up and to the left
Step-by-step explanation:
Entomologists estimate that an average person consumed almost a pound of bug parts each year. There are that many insect eggs, larvae, and miscellaneous body pieces in the food we eat and the liquids we drink. The Food and Drug Administration (FDA) sets a Food Defect Action Level (FDAL) for each product. For example, the legal limit for peanut butter is 30 insect fragments per 100 grams. You just bought the crackers with 25 grams of peanut butter. What is the probability that the snack will include at least 3 crunchy critters
Answer:
0.9797
Step-by-step explanation:
We have X = number of insects in the 25bgrams of butter
Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams
Then insect amount in 25 grams =
E(X) = 30/100 x 25
= 0.3 x 25
= 7.5 fragments of insects
Using the poisson function in Excel, the probability of at least 3 crunchy critters
1 - p(X<=2)
p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715
1 - 0.020156715
= 0.9797
The equation of a line is shown.
6x – 3y = 5
A dilation centered at the origin with a scale factor of 6 is applied to this line.
A. What is the slope of the line after the dilation?
B. What is the value of the y-intercept of the line after the dilation?
Answer:
my guess would have to be
A. slope= 4
B. y-intercept= 23/3 or 7 2/3(simplified)
Step-by-step explanation:
im not sure how accurate my answer would be but what i did was put the equation in slope intercept form and added 6 for the dilatation to all factors of the equation.
The slope is 2/3.
The y-intercept is -5/3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the line.
6x - 3y = 5
Now,
To apply a dilation with a scale factor of 6 centered at the origin.
We multiply both sides by 6.
So,
6 (6x - 3y) = 6 x 5
Now,
Simplifying.
36x - 18y = 30
Dividing both sides by 18.
2x - y = 30/18
2x - y = 5/3
Now,
Writing in slope-intercept form.
y = mx + c
So,
y = 2x - 5/3
This means,
Slope m = 2
y-intercept c = -5/3
Thus,
The slope is 2/3.
The y-intercept is -5/3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ6
(Urgent) Worth 15 points 7.3
Answer: 20790
Step-by-step explanation:
Diego is buying candy by the pound. For every 10 pounds, he pays $23. What is the cost per pound?
Will give BRAINLIEST!!
pls help!due very soon.ill pick brainliest for the answer that helps me the most.(I can only pick brainliest if there's two answers)
How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?
Answer:
5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.
Step-by-step explanation:
Find X please help me with test corrections due midnight tonight!
If HBN is congruent to LYR.
Answer:
the answer is
x=22..........
What is the answer for this question? The quotient of r and 6 is equal to 42
for many years the number of rainy days in March has been recorded in the towns Riverton and waterview Riverton has a mean of 11 rainy days in march with a standard deviation of three days Waterview has a mean of 13 rainy days in march with a standard deviation of 2 days brainly
Answer:
peak farther to the RIGHT
peak will be NARROWER
Step-by-step explanation:
hope this helps !! :)
can someone send me a random receipt you have you gotten recently. it can be anything at all pls
HELP PLEASE PLEASEEEEEE
Answer:
I think the area is 9 ft square
1) You have three- fourths yards of pipe. How many pieces can you cut the pipe into if each piece is one-eighth yard?
Answer:
Step-by-step explanation:
(3/4)/(1/8)
(3/4)(8/1)
24/4
6 pieces of pipe
what is 3/4 x 12 inches
Answer:
9
Step-by-step explanation:
Easter game idea's please!
my neighborhood always throws an Easter egg hunt but this year we wanted to spice things up and add some cool game with cool prizes and snacks! any ideas?? (dont worry we wear mask at the small neighborhood party's we have)
A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?
Answer:
b
Step-by-step explanation:
edge
Leon older brother is 4 and 3/4 feet tall Leon is 1/3 foot shorter than his brother how tall is Leon
Answer:
4 5/12 feet tall
Step-by-step explanation:
All you have to do is subtract 1/3 from 4 and 3/4 in order to get this answer.
Answer:
Leon is 53/12 feet or 4 & 5/12 or 4.4167 (same answer different forms)
Step-by-step explanation:
Leon older brother is 19/4 feet tall or 57/12.
Leon is 1/3 or 4/12 foot shorter than his brother.
57/12-4/12= 53/12
PLease help me asnwer this!!
Answer:
The answer is 60x500=30000
Step-by-step explanation:
30000 is your answer
Find the missing side. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
1)
Hyp =40
∠48
x = Adj
use CAH since it's got these pieces in it
Cos(48) = x / 40
40* Cos(48) = x
26.76522 = x
x = 26.8 ( rounded to nearest 10th)
2)
∠29
Hyp = 35
Opp = x
use SOH since this problem has those pieces in it
Sin(29) = x / 35
35*Sin(29) = x
16.9683 = x
x = 17.0 (rounded to nearest 10th)
3)
40 = Adj
∠16
Hyp = x
use CAH again
Cos(16) = 40 / x
x = 40 / Cos(16)
x = 41.611
x = 41.6 (rounded to nearest 10th )
4)
∠55
Opp = 35
x = Adj
use TOA
Tan(55) =35/x
x = 35/Tan(55)
x = 24.5072
X = 24.5 ( rounded to nearest 10th)
whats 2+7 because i really need help
Answer:
9 LOL-
Step-by-step explanation: