Answer:
0.0031 = 0.31% probability that exactly 7 out of 10 individuals will visit the Statue of Liberty
Step-by-step explanation:
For each individual, there are only two possible outcomes. Either they visit the Statue of the Liberty, or they do not. The probability of an individual visiting the statue is independent of any other individual. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The sample probability of an individual traveling to the statue is 25%
This means that [tex]p = 0.25[/tex]
The probability that exactly 7 out of 10 individuals will visit the Statue of Liberty is
This is [tex]P(X = 7)[/tex] when [tex]n = 10[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
0.0031 = 0.31% probability that exactly 7 out of 10 individuals will visit the Statue of Liberty
what property is this 4(2x−3)=4(2x)−4(3)
Answer:
this is 4(2x−3)=4(2x)−4(3)distributive property
Answer:
The Distributive Property
Step-by-step explanation:
The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b + c) = ab + ac. The division property of inequality states that two unequal values divided by a positive number retain the same relationship.
====================================================================
Hope I Helped, Have A Great Day!
-Aadi
Find the area of the composite figure.
4 ft
6 ft
6 ft
9 ft
9 ft
18 ft
Area
feet squared
Answer:
174 feet squared
Step-by-step explanation:
The figure is composed of a rectangle and a right triangle
Therefore,
Area of the composite figure = area of the rectangle + area of the right triangle
= (L*W) + (½*b*h)
L = 18 ft
W = 9 ft
b = 18 - (6 + 6) = 6 ft
h = 4 ft
Plug in the values into the equation
Area of the composite figure = (18*9) + (½*6*4)
= 162 + 12
= 174 ft²
Of 56 tuna sandwiches sold, 18 were sold on Friday
Write 18 as a percentage of 56
Give your answer correct to the nearest whole number
Answer: 32.14 after round off it will be 32
Step-by-step explanation:
This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.
32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 32
Fractional Part: 14
Our goal is to round it so we only have an integer part using the following rules:
If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:
32
10. Richard made $7840 in interest after seven years at a 7% simple interest rate. How much money did Richard initially deposit, to the nearest dollar?
11. If a home loan of $240,000 was paid off in 30 years and the homeowners ended up paying a total of $528,000 total. If the loan and simple interest what is the percentage rate that was used on a home loan?
12. if you wanted to earn $845 and simple interest on a 60 month loan of $1000 what rate would you need?
9514 1404 393
Answer:
10. $16,000
11. 4%
12. 16.9%
Step-by-step explanation:
10. The amount of the loan plus interest is given by the formula ...
I = Prt
P = I/(rt) = $7840/(0.07×7) = $16,000
Richard initially deposited $16,000.
__
11. The total of principal plus interest is ...
A = P(1 +rt)
Solving for r gives ...
r = (A -P)/(Pt) = (528000 -240000)/(240000×30) = 0.04 = 4%
The percentage rate used was 4%.
__
12. The interest formula is ...
I = Prt
Solving for r gives ...
r = I/(Pt) = $845/($1000×5) . . . . . . 60 months = 5 years
r = 0.169 = 16.9%
To earn $845 in interest, you would need a rate of 16.9%.
A receipt for homemade pizza states that it yields 2 pizzas with 298 calories per slice 8 slices in one pizza you instead decide to make 5 mini pizzas if you eat two mini pizzas how many calories did you consume
Answer:
1,907.2 calories.
Step-by-step explanation:
We know that with a recipe and some given ingredients, you can make 2 pizzas, such that each pizza has 8 slices, then there are:
2*8 = 16 slices
And each slice has 298 calories, then the total amount of calories is:
16*298 cal = 4,768 cal.
Now, we know that you decide to make 5 mini pizzas instead (where we assume that you use the same ingredients that you would have used for the two pizzas) then the total amount of calories in the 5 mini pizzas is the same as the amount of calories in two normal pizzas, then:
in 5 mini pizzas we have 4,768 cal.
Then if each mini pizza has C calories, we have:
5*C = 4,768 cal.
we can solve this for C.
C = 4,768cal/5 = 953.6 cal
Then if you eat two of these, the total amount of calories you consume is twice that amount:
calories consumed = 2*953.6 cal = 1,907.2 cal.
The diameter of a circle is 38 meters. What is the circle's area?
D=38m
Answer:
Diameter- 60.42^2
Plz no links just give the answer and how you got it plsss. A circular hot spring has a diameter of 106 meters. Over time, the diameter of the spring decreases by 2 meters. By how many square meters does the area of the hot spring decrease? Use 3.14 for pi
Answer:
The area decreases by 1155.52 square meters
Step-by-step explanation:
a = pi * r ^ 2
d = 2 * r
r = d / 2
r = 96/2
r = 48
a1 = 3.14 * 48 ^ 2
a1 = 7234.56 square meters.
r = 88/2
r = 44
a2 = 3.14 * 44 ^ 2
a2 = 6079.04 square meters.
now we calculate the difference
a1 - a2 = 7234.56 - 6079.04
= 1155.52 square meters
The students at Fitzgerald High School are building the shape below to put on their school. What is t total area of the shape in square units? 4 units 1 unit 10 units 1 unit 3 units 1 unit
Answer:
Someone would need to see the units and the picture that would be attached to this question.
Step-by-step explanation:
The factorisation of y2-7y+12 is
+100points and brainliest
PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)
Answer: B
Step-by-step explanation:
Simply modules denotes the absolute value of a number.
I hoped this helped!+*♡
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: x=2, y=5
Explanation in image below
Step-by-step explanation:
A family spends 20% of its income on mortgage repayments of RM 800 per month, Calculate the monthly income of the family.
Answer:
monthly income of 4,000
Step-by-step explanation:
monthly income=m
.20m=800
m=4,000
Find the logarithmic model.
Use the data in the given table to fill in the missing coefficients. Round your answers to 3 decimal places.
HELP! please i would do it
but the conjunctions are the same
Answer: 3. either/or
Step-by-step explanation:
Answer:
1. neither/nor
2. not only/but also
3. either/or
4. not only/but also
5. neither/nor
Step-by-step explanation:
1. Often when someone first moves somewhere, they are not familiar with the language. I think both/and also works, because she may have prepared for the move, but more likely it's neither/nor.
2. You have it correct.
3. They can only pick one, so "both/and" doesn't apply.
4. You have it correct.
5. Parents do not like when their kids argue :). Neither my mother nor my father likes it when I argue with my little sister.
A catfish pond contains 510 gallons of water. The pond can hold no more than 1700 gallons. It is being filled at a rate of 68 gallons per hour. 1) Write an inequality that will represent how many hours, h, it will take to fill the pond. 2)How many whole hours will it take to fill but not overfill the pond?
PLEASE HELP ASAP DONT USE A LINK THOSE NEVER WORK I HAVE A TIME LIMIT
Answer:
107 degrees
Step-by-step explanation:
First, subract 180 from 135 to get the angle for DFE, which is 45 degrees.
Then, add 45 to 28, which equals to 73 degrees.
Finally, subtract 180 from 73 to get the angle for DEF, which is 107 degrees.
Answer:
107
Step-by-step explanation:
What answer shows 3.28 rounded to the nearest half?
Answer:
3.5
Step-by-step explanation:
Please help meeeeeeeee
Answer:
Step-by-step explanation:
• The price of a car increased by 15. If the orginal price of the car was $24.000, what is the
new price )
Answer:
27,600
Step-by-step explanation:
15% of 24,000 is 3,600, 24000 + 3600 = 27,600
I need help with this
The graph shows a linear relationship between x and y. Based on the graph, what is the value of x when the value of y is 10? Will give brainlest (❁´◡`❁)
Answer:
Step-by-step explanation:
This graph shows a linear relationship between x and y. 5 4 3 N 1 -5 -4 -3 -2 1 -1 1 2 3 4 5 x -2 -31 -4 -5 Based on the graph when the value of y is 10 the value of x is ...
if k is the center of the circle which line segment is the radius
What is the probability of rolling a number less than 5 and flipping heads?
A factory has 500 workers. If the number of women is 50 more than the number of men, what is the number of women workers?
Answer:
450 women workers?
Step-by-step explanation:
50 times 10= 500
500-50=450
Answer: 275 women workers
Step-by-step explanation:
x=men (x+50)=women
x+(x+50)=500
solve for x...
2x+50=500
2x=450
x=225
so
225+50=275
Pls answer this fast will give brainliest
Answer:
12
Step-by-step explanation:
4 options per sandwich, 4 times 3 =12
Answer:
12
Step-by-step explanation:
[tex]n_{C} r = \frac{n!}{(n-r)!(r!)} \\\\[/tex]
n is the number of choices
r is the number of Selections we can make
For Sandwiches:
3 Choices w/ 1 Selections
[tex]n = 3\\r = 1\\[/tex]
[tex]n_{C} r = \frac{3!}{(3-1)!(1!)} = 3[/tex]
For Veg.:
2 Choices w/ 1 Selections
[tex]n = 2\\r = 1\\[/tex]
[tex]n_{C} r = \frac{2!}{(2-1)!(1!)} = 2[/tex]
For Dessert.:
2 Choices w/ 1 Selections
[tex]n = 2\\r = 1\\[/tex]
[tex]n_{C} r = \frac{2!}{(2-1)!(1!)} = 2[/tex]
Multiply All Combinations ∴
[tex]3 * 2 * 2 = 12[/tex]
how do you solve the inequality of -11.3 is equal to or greater than -4.7 + 4x
Answer: -1.65 ≥ x
Step-by-step explanation:
We usually express "equal to or greater than" by using the symbol ≥.
And we set up the inequality by looking at the word description, then we have:
-11.3 ≥ -4.7 + 4x plus 4.7 on both sides.
-6.6 ≥ 4x divide 4 on both sides.
-1.65 ≥ x
What is 10 rounded to the nearest whole number?
a. 2244
b. 3205
c. 3846
d. none of the above
Answer:
d
Step-by-step explanation:
Answer:
The answer is D
Step-by-step explanation:
10 is already a whole number and does not need to be rounded
Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters
Answer:
i
Step-by-step explanation:
dont know
Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?
Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.
Anyone want to help me out with this??
The function f(t) = 8100(0.993) 365 represents the change in a quantity over t
days. What does the constant 0.993 reveal about the rate of change of the quantity?
The function is
exponentially at a rate of
% every
Answer:
Decreasing; rate of 0.993 every day
Step-by-step explanation:
Its decreasing because the value being multiplied by is less than 1. 1/365 signifies every day in context to this problem.