Answer:
$56.25
Step-by-step explanation:
75%*75.00 = 56.25
: Customers arrive at a shopping mart randomly at a rate of 7 per hour.
a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8
b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before
11. 45 am
Using the Poisson distribution, it is found that the probabilities are given by:
a) 0.1009 = 10.09%.
b) 0.8262 = 82.62%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:
[tex]\mu = 1.5 \times 7 = 10.5[/tex]
The probability of exactly 8 customers is of P(X = 8), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]
Item b:
Probability of at least one patient in 15 minutes, hence:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
For 15 minutes, the mean is given by:
[tex]\mu = 0.25 \times 7 = 1.75[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]
More can be learned about the Poisson distribution at https://brainly.com/question/13971530
Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizers Melissa serves is directly proportional to the number of guests at the party. For lunch parties, she serves 3 appetizers per guest. For dinner parties, she serves 5 appetizers per guest. When serving 22 guests, what is the difference of the number of appetizers she serves for dinner and the number of appetizers she serves for lunch?
Answer:
44
Step-by-step explanation:
Lunch = 3 appetizers per guest
If there are 22 guests: 22 × 3 = 66 appetizers served
Dinner = 5 appetizers per guest
If there are 22 guests: 22 × 5 = 110 appetizers served
Difference = total dinner appetizers - total lunch appetizers
= 110 - 66
= 44
A building has a height of 16 1/4 meters. Each floor in the building has a height of 3 1/4meters.
How many floors are in the building?
Answer:
5
Step-by-step explanation:
16 1/4 divided 3 1/4
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
x=6
Step-by-step explanation:
i hope it's helpful for youAnswer:
x=6
Step-by-step explanation:
24÷4=6
4×6=24
Hope it helps :))
c)
Point C has me
same x-coordinate as point A
same y-coordinate as point B
Write down the coordinates
of point
Answer:
(-4, -2)
Step-by-step explanation:
x-axis is horizontal and y-axis is vetical. The first valye of point A is -4, the second value of point B is -2, therefore, point C = (-4, -2)
The coordinates of C from the given graph are (-4, -2).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of A = (-4, 1)
The coordinates of B = (3, -2)
Now,
Point C has me same x-coordinate as point A and the same y-coordinate as point B
So,
The coordinates of C = -4, -2)
Thus,
The coordinates of C from the given graph are (-4, -2).
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ2
a construction company is building a house based on the picture. The scale from picture to real house is 1 inch= 8 feet the height of the building in the picture is 2.5 inches what is the height of the real building the proportion i would use to solve this is ____ the height of the real building should be ______ feet. To explain to the construction workers how they would calculate the height of the final building. i would tell them ____
Answer:
The Height of the building would be 20 feet.
Step-by-step explanation:
1.) 1/8 = 2.5/X
2.) Answer: 20 Feet
3.) Cross Multiply
- 1 inch is to 8 feet as 2.5 inches is to 20 feet.
solve pls brainliest
Answer: 200 students gave their speeches.
Explanation;
240 ÷ 6 = 40
40 x 5 = 200
What is the area of the triangle shown below?
m2
1/2 bxh
1/2 30 x 12
15 x12
=12
A triangular garden has an area of 144 ft² If the base is 8 ft long, what is the height? 9 ft 18 ft 36 ft 48 ft.
Answer:
36 feet
Step-by-step explanation:
Hello!
Recall that the formula for the area of a triangle is [tex]\frac12b*h[/tex]
That means the equations is 144 = 0.5(8 * h)
Solve:
144 = 0.5(8) * h144 = 4 * h144 = 4h36 = hThe height is 36, but since the units are feet, it is 36 feet.
In the question it is given that a triangular garden has an area of 144 ft² and measure of its base is 8ft. So we would be simply using the formula of calculating the area of rectangle.
[tex]\boxed{\sf{Area \: of \: triangle \: = \: \dfrac{1}{2} \times l \times b }} \: \red\bigstar[/tex]Here,
l is length b is breadthTo calculate :
Height of the triangle? (i.e. length)We have :
length (l) = 8ft Area (A) = 144 ft²Putting the values in formula :
[tex] \implies \: \sf{144 = \: \dfrac{1}{2} \times l \times 8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{ \cancel2} \times l \times \cancel8 } \\ \\ \implies \: \sf{144 = \: \dfrac{1}{1} \times l \times 4 } \\ \\ \implies \: \sf{144 = \: l \times 4 } \\ \\ \implies \: \sf{ l \: = \: \dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{144}{4} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \cancel\dfrac{72}{2} } \\ \\ \implies \: \sf{ l \: = \: \dfrac{36}{1} } \\ \\ \implies \: \red{\underline{\underline{\bf{ l \: = \: 36 }}}}[/tex]
Henceforth,
Height is of 36 ft.100 points!!! please help me with this math.
f=72°
d=153°
b=27°
a=64°
be careful i started with f
Answer:
a=64
b=27
d=153
f=72
Step-by-step explanation:
a+72+134+90=360(sum of the angles around a point is 360)
a+296=360
a=360-296
a=64
b=27(vertically opposite angles are equal in magnitude)
27+b+d+e=360(sum of the angles around a point is 360)
d=e (vertically opposite angles are equal in magnitude)
Therefore,
27+27+2d=360
54+2d=360
2d=360-54
2d= 306
d= 306÷2
d= 153
108+f=180(sum of the adjacent angles on a straight line is 180)
f=180-108
f=72
HELP!!
Find the mistake: Use the picture to find the diagonal of
the television. Look at the student’s work and solution.
Identify the error, solve the problem. Then share a
strategy this student could use to prevent this error again.
Answer:
It is actually very simple:
Notice that they don't actually do the square of 49 and 64. For some reason, they do the square root of the values without squaring them. If we were to do it in the right way, the answer would be:
[tex]49^{2} +64^{2} = c^{2}[/tex]⇔ 2401+4096 = [tex]c^{2}[/tex] ⇔ 6497 = [tex]c^{2}[/tex] ⇔ [tex]\sqrt{6497}[/tex] = [tex]\sqrt{c^{2} }[/tex] ⇔ 80,6 ≈ c
I believe this is the answer. I hope I had helped :)
I’m very stuck and someone give the answer
Answer:
since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%
Step-by-step explanation:
The volume of this right prism is 266.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x =
ft
Hey there!
1/2 lwh = v
lwh = 2v
h = 2v/lw
Formula:
H = 2v / l w
H = 2(266.5ft³)/lw
H = 533/lw
Other length are Missing like length and width
Incomplete question
Answer:
The answer is 8.2, I took the test.
A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find sin M, tan M, and cos M.
Answer:
sin M = [tex]\frac{12}{13}[/tex], tan M = [tex]\frac{12}{5}[/tex], cos M = [tex]\frac{5}{13}[/tex]
Step-by-step explanation:
The sine of an angle is equal to [tex]\frac{opposite}{hypotenuse}[/tex]. The opposite (opposite from the angle) side is 12 and the hypotenuse is 13.
The tangent of an angle is equal to [tex]\frac{opposite}{adjacent}[/tex]. The opposite side is 12 and the adjacent (next to the angle) side is 5.
The cosine of an angle is equal to [tex]\frac{adjacent}{hypotenuse}[/tex]. The adjacent (next to the angle) side is 5 and the hypotenuse is 13.
I need jelpsssssssss
Answer:
sum up all the sizes and multiple it by 2
a*b=a+2b find 2*3
please help me
Answer:
7
Step-by-step explanation:
solna*b=a+2b2*3=a+2b a=3 b=2 =3+2×2 =3+4 =7answerA square rug has an area of 256 square feet. What is the perimeter of the rug?
Answer:
64
Step-by-step explanation:
[tex]\sqrt{256}[/tex] = 16 (length of each side)
A square (rug) has 4 sides.
Add to find perimeter:
16 + 16 + 16 + 16
= 64
Answer: 8ft
Step-by-step explanation:
4A= 256
4A/4 = 256/4
A = 64
A = a²
64 = 4²
a² = 64
a = ±√64
a = ±8
∴a = ±8
Hence, the length of a side of each rug is 8ft.
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
The output values of g(x) will surpass those of f(x) as the input values continue to increase.
Answer:
f(x) is a polynomial function.g(x) is an exponential function.The output values of g(x) will surpass those of f(x) as the input values continue to increase.Explanation:
f(x) has a function of x³g(x) has a function of [tex]\sf 3^X[/tex]False statements:
The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.f(x) is an exponential function - as crosses x-axis, exponential never crosses x-axisg(x) is a polynomial function - as has no valid power.Answer:
By examining the table of ordered pairs, notice that the function f(x) is the cube of [tex]x[/tex]. Therefore, [tex]f(x)=x^3[/tex]
By examining the table of ordered pairs, notice that as [tex]x[/tex] increases by a constant value, the value of the function g(x) increases by the common ratio of 3. Therefore, [tex]g(x)=3^x[/tex]
From the table, both functions equal 27 when [tex]x=3[/tex], therefore, the point of intersection of the two functions is (3, 27).
As x increases past [tex]x=3[/tex], g(x) increases quicker than f(x) since g(x) is an exponential function and f(x) is a cubic polynomial.
So the following statements are true:
f(x) is a polynomial functiong(x) is an exponential functionThe output values of g(x) will surpass those of f(x) as the input values continue to increase.Please refer to the attached graph of both functions with plotted ordered pairs.
solve pls brainliest
Answer: The answer is -15/7
Step-by-step explanation: Think of the 3 as 3/1. You then have the equation as -5/7 x 3/1. Multiply straight across so it would be 5 x 3 and -7 x 1. It doesn't matter what you do with the negative as long as it is in the final answer. It could be in the denominator or the numerator. So that answer is -15/7.
HOPE THIS HELPED!
Answer:
-1 1/7 :)
Step-by-step explanation:
[tex]-\frac{5}{7}[/tex] x 3
[tex]-\frac{5}{7}[/tex] x [tex]\frac{3}{1}[/tex]
[tex]-\frac{15}{7}[/tex]
Now lest simplify it!!
-1 [tex]\frac{1}{7}[/tex]
Hope this helps!!
Have a great day!!
Please rate and mark brainliest!!
What’s the answer to the blank
Answer:
13.93
Step-by-step explanation:
find the mean
11.60 + 16.25 ÷ 2 = 13.93
Triangle XYZ is dilated by a scale factor of 4 3 . Which algebraic rule represents how to find the coordinates of triangle X’Y’Z’?
When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths
The algebraic rule is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
How to determine the algebraic rule?From the question, we understand that:
The scale factor (k) of the dilation is:
k = 4/3
The dilation rule across the origin is represented as:
[tex](x,y) \to k(x,y)[/tex]
Substitute 4/3 for k
[tex](x,y) \to \frac 43(x,y)[/tex]
Expand
[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Read more about dilation at:
brainly.com/question/26332230
What equation best matches?
a group of 6 adults pay a total of $105 for for their admission to a museum. Each person has a coupon for $5 off the regular admission price. they want to know what the regular admission price is for one adult. Write an equation if a equals the regular admission price
Answer:
$22.50
Step-by-step explanation:
105/6= 17.5 each
17.5+5= 22.5
Show that the triangles are similar and write a similarity statement.
pls help...
Step-by-step explanation:
BC / EC = 21/14 = 3/2.
AC / CD = 27/18 = 3/2.
Angle ACB and ECD are congruent because they are vertical angles.
This means that triangle ABC is similar to triangle DEC by SAS.
A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of
the tournament eliminates half the participants.
a.
If p(r) represents the number of participants remaining after r rounds of play, write a formula to model the
number of participants remaining.
Answer:
[tex]P(r)=65536(\frac{1}{2})^{r}[/tex]
Step-by-step explanation:
Since the total number of participants in the tournament is 65,536 people, and the exponential decay is [tex]\frac{1}{2}[/tex], using [tex]P(r)[/tex] as the representative of the number of people after [tex]r[/tex] rounds, the formula to represent the model would be [tex]P(r)=65536(\frac{1}{2})^{r}[/tex].
Answer:
[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]
Step-by-step explanation:
Pet peeve of mine: let's call it [tex]p_r[/tex] (read p sub r)since it's a representation over the natural numbers and not over [tex]\mathbb{R}[/tex].
Old man yelling at clouds moment gone, we know that the number of people gets halved every time so
At round 0, we do not halve, so [tex]p_0 = 65\ 536\div 1[/tex]
At round 1, we halve once, so [tex]p_1 = 65\ 536\div 2[/tex]
At round 2, we halve twice, so [tex]p_2 = 65\ 536\div 4 = 65\ 536\div 2^2[/tex]
At round 3, we halve three times, so [tex]p_3 = 65\ 536\div 8 = 65\ 536\div 2^3[/tex]
...
At round k, we halved k times, so [tex]p_k = 65\ 536 \div 2^k[/tex]
...
At round 16 we [tex]2^1^6 =65\ 536[/tex] so we have a winner.
That allows us to write a formula. I personally find the last one to be the neater, but any of the three is formally correct.
[tex]p_r = 65\ 536 \div 2^r = 65\ 536 \div 2^-^r = 2^{16-r}; r\ \in \{0,1,2,3...16\}[/tex]
OMG IM SO SORRY BUT I SERIOUSLY NEED HELP
Answer:
C
Step-by-step explanation:
The answer is C because if you look at the shape carefully, there are two shapes. The measurements for the shape going up and down is (6 x 2 x 4) and the measurements for the shape going from left to right is (8 x 4 x 2).
I wasn't entirely sure how to explain this but I really hope this helps!
Answer:
A and C
those are the two ways to find surface area on that shape without overlap
x - 3y - 3 = 0
3x - 9y - 2 = 0
Answer: no solution
x - 3y = 3 --------> (1)
3x - 9y - 2 = 0
3x - 9y = 2 ---------> (2)
Solving (1) and (2)
x - 3y = 3
3x - 9y = 2
Multiply Eqn (1) by 3,
3x - 9y = 9 -------> (3)
3x - 9y = 2 ---------> (4)
Answer provided by Education Point
equation 1 : [tex]\sf x - 3y - 3 = 0[/tex]
equation 2 : [tex]\sf 3x - 9y - 2 = 0[/tex]
make x the subject in equation 1,
[tex]\sf x = 3+3y[/tex]
insert this in equation 2,
[tex]\rightarrow \sf 3(3+3y) - 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 9+9y- 9y - 2 = 0[/tex]
[tex]\rightarrow \sf 7 = 0[/tex]
Thus no solution for x and y in this solution.
( Pls Help ASAP) 1 question 15 points))
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.
I hope this helps!
Please mark brainliest!!
help help help help HELP
car is travelling faster
22 - 18 = 4 meter per second
hope it helps...!!!
A study was conducted of 351 species of mammals worldwide. The
scientists conducting the study found that 140 species could be
found in Asia and 94 species could be found in Africa, and of those,
22 could be found in both continents.
What is the probability of randomly selecting a species of mammal
that is neither found in Asia nor Africa? Write your answer as a
fraction.
Answer:
95/351
Step-by-step explanation:
the first thing you must do is to add 140 and 94 and 22 together
you get 256
then you subtract 351 with 256 and get 95
and then you do this
95/351