Answer:
The answer is "Option A".
Step-by-step explanation:
The probability function is
[tex]\to P(X) = K_{{C}_{k}} \times \frac{N-K_{{C}_{n-k}}}{N_{C}_{n}}[/tex]
The population size (N)= 28
The number of success in population(K) = 3
The number of draws (n)= 4
A concession stand sell hot dogs and hamburgers. At a football game, 84 hot dogs and 36 hamburgers were sold for $276. At another football game, 60 hotdogs and 18 hamburgers were sold for $174. Wrote a system of equations to represent this situation. Then solve the system of equations.
Answer:
The concession stand sold 46 hot dogs and 32 hamburgers.
Step-by-step explanation:
The first thing to do in algebraic problems is assign variables to things we don't know, so let's start there:
We don't know how many hot dogs the concession stand sold, so we will call that number d.
We don't know how many hamburgers the concession stand sold, so we will call that number h.
Now we translate the statements into algebraic equations:
The number of hot dogs and hamburgers that were sold is 78, so d+h=78.
If each hot dog is sold for 1.25, then the total revenue from hot dogs is given by 1.25d. In the same way, the total revenue from hamburgers is 1.50h. The total revenue from both hot dogs and hamburgers should be the sum of these, and since we are told the total revenue is 105.50, we can say 1.25d+1.5h=105.5.
We now have a system of two linear equations:
d+h=78
1.25d+1.5h=105.5
We can solve it using several methods, though I'm going to go with substitution. Use the first equation to solve for d:
d+h=78
→d=78−h
Now plug this in for d in the second equation:
1.25d+1.5h=105.5
→1.25(78−h)+1.5h=105.5
Solving for h, we have:
97.5−1.25h+1.5h=105.5
0.25h=8
h=8.25→h=32
Since h+d=78,
32+d=78→d=46
The concession stand therefore sold 46 hot dogs and 32 hamburgers.
From the given situation the cost of each hot dogs is $2 and the cost of each hamburgers is $3.
For the given situation we need to find a system of equations.
What are the system of equations?In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
Let the cost of hot dogs be x and the cost of hamburgers be y.
At a football game, 84 hot dogs and 36 hamburgers were sold for $276 =
84x+36y=276
⇒ 21x+9y=69 ..........(1)
At another football game, 60 hotdogs and 18 hamburgers were sold for $174 = 60x+18y=174
⇒ 10x+3y=29 ..........(2)
Multiply equation (2) by 3, that is 30x+9y=87 ..........(3)
Subtract equation (3) and (1)
That is, 30x+9y-(21x+9y)=87-69
9x=18
⇒ x=2
Put x=2 in equation (1), we get 21(2)+9y=69
⇒ 42+9y=69
⇒ 9y=27
⇒ y=3
Therefore, from the given situation the cost of each hot dogs is $2 and the cost of each hamburgers is $3.
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48:23 +4.10 3/4
Help pls....
Answer:
48:26.075
Step-by-step explanation:
Find the exact volume of a waffle ice cream cone with 15-in. Diameter and a height of 23 inches
Which substance has a freezing point furthest from that of water, 0°C?
Iodine 113.5
Carbon Dioxide −78.7
Mercury −39
Glycerine 17.7
Nitrogen −210
Answer:
The freezing point of water at a pressure of one atmosphere is 0°C (32°F); that of liquid nitrogen is -209.89°C (-345.8°F).
help please! will mark brainliest!
Answer:
Hello! I'll help, but where is the question?
Step-by-step explanation:
Answer:
what do you need help with?????
in 2011 there were 3223 sea otters in Monterey Bay California the bay is approximately 77 mi.² to the nearest whole number what was the density of the sea otter population
Answer:
42 sea otters per mi2
Step-by-step explanation:
Find the difference between 3 1/12 and 2 1/6. Leave your answer as a proper fraction or mixed number.
Answer:
[tex]\frac{8}{6}=1\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{2}-2\frac{1}{6}[/tex] Fractions cannot be added or subtracted unless they have the same denominator (bottom number)
[tex]\frac{7}{2}-\frac{13}{6}[/tex] Change to an improper fraction. Multiply the denominator times the whole number (number on the side) then add to the numerator (top number) and place over the the denominator (3*2+1=7→[tex]\frac{7}{2}[/tex])
[tex](\frac{7}{2}*\frac{3}{3})[/tex] - [tex]\frac{13}{6}[/tex] In order to give both fractions the same denominator, find the least common denominator (LCD = one number that both denominators will divide evenly into) LCD = 6. Then multiply the top and bottom by a number that gives the LCD. We only need to multiply the first fraction top and bottom by 3.
[tex]\frac{21}{6} - \frac{13}{6} = \frac{8}{6}[/tex] This is an improper fraction because the numerator is larger than the denominator. To make a mixed number divide the numerator by the denominator and simplify.
[tex]\frac{8}{6} = 1\frac{2}{6} = 1\frac{1}{3}[/tex] [tex](\frac{2}{6} \frac{divided by}{divided by}\frac{2}{2} = \frac{1}{3})[/tex]
A slow pitch softball diamond is actually a square 61 ft on a side. How far is it from home to second base?
Answer:
This would be the same as an isosceles right triangle. It would be 61ft x (square root of 2) = ~86.3ft
This is rounded of course...
The distance from from home to second base is 86.26 ft.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, a slow pitch softball diamond is actually a square 61 ft on a side.
A slow-pitch softball diamond is actually a square shape.
The side length of the square is 61 ft
Here ABCD is square. The length of the side is AB=BC=CD=DA=60 feet.
Consider the distance between home base to second base is the hypotenuse if we draw a right triangle using the diagonal across the square and two sides of the square.
Let us assume the diagonal distance from home to second base BD=x.
Let us find the distance from home base to second base by using Pythagorean Theorem:
Now, x²=61²+61²
x²=3721+3721
x²=7442
x=√7442
x=86.26 ft
Therefore, the distance from from home to second base is 86.26 ft.
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PLZZ help thxxxxxx..........
Answer:
A
Step-by-step explanation:
Write an expression: 5 less than a product of 6 and 3
Answer:
(6)(3)-5
Step-by-step explanation:
(WHO EVER HELPS ME GETS BRAINLIEST AND EXTRA POINTSSSSS :D )
Answer:d
D. 9 and 46/180
Step-by-step explanation:
Answer:
Ok thank you for your efforts
Step-by-step explanation:
The answer is D 9 46/180
Write an
equation in slope-intercept form of the line that passes through the
points (-5, -11) and (6,11).
Answer:
Slope=2.
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where
X1,y1,=(-5, -11) X2,y2=(6,11).
Slope=-11-11/-5-6
=-22/-11
=22/11
=2
Slope is 2
Answer:
2
Step-by-step explanation:
Here,
x₁ = (- 5) and x₂ = 6
y₁ = (- 11) and y₂ = 11
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= (- 11) - ( 11) ÷ (- 5) - ( 6 )
= - 11 - 11 ÷ - 5 - 6
= - 22 ÷ - 11
= 2 ÷ 1 = 2
Thus, Slope is 2
-TheUnknownScientist
According to the National Center for Health Statistics, in 1990, 28% of babies in the United States were born to parents who were not married. Throughout the 1990s, this increased by approximately 0.6% per year. If this trend continues, in which year will 31% of babies be born out of wedlock?
Answer:
The year is [tex]b = 1995[/tex]
Step-by-step explanation:
From the question we are told that
The percentage of the number of babies born out of wedlock in 1990 is k = 28%
The percentage by which the number increase per year is i = 0.6%
The percentage of of the number of babies born out of wedlock considered is a = 31%
Generally the difference in between the percentage in 1990 and the percentage considered is
[tex]d = a - k[/tex]
=> [tex]d = 31 - 28[/tex]
=> [tex]d = 3\%[/tex]
Generally the number of year require for the percentage to be equal to 31% is mathematically represented as
[tex]n = \frac{3\%}{0.6\%}[/tex]
=> [tex]n = 5\ years[/tex]
Generally the year which the considered percentage will be attained is
[tex]b = 1990 + n[/tex]
=> [tex]b = 1990 + 5[/tex]
=> [tex]b = 1995[/tex]
List the solvent and solute(s) in the scenarios below.
A solution of 32% ethanol and 68% water
Answer:
no
Step-by-step explanation:
The teacher recommends that students read for 20 minutes each
night. How many pages will the student complete?
type your answer...
pages
1 point
In a really exciting part of the book, the student read 18 pages in
one sitting. For how many minutes did she read?
Answer:
the student read for 36 minutes
Step-by-step explanation:
so for each night minutes read is going to represent the minutes read and y is going to represent the pages read. This means that 18 should be substituted in for y.
18=1/2x
so to solve you are going to divide both sides by 1/2
36=x
Chloe wants to divide 600 jellybeans into equal groups. She wants each group to have more than 10 jellybeans, but less than 100. What are three possible groupings Chloe can make?
Answer: One group made up of 12 can each have 50.=600
the second group of 30 can each have 20=600
third group made of 15 can each have 40=600
Step-by-step explanation:
Answer:
not sure if this is correct, but...
you could do 12 groups of 50
or 14 groups of 60
orrr 20 groups of 30
A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch. A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be x¯= $14.50. Based on previous surveys, the restaurant informs the marketing manager that the standard deviation is ???? = $3.50. To address the CEO’s conjecture, the marketing manager decides to carry out a test of hypothesis. The null hypothesis is given by H0 : ???? = 13.50. The hypothesis test is set up to provide the marketing manager with:
a. proof that the null hypothesis is true.
b. evidence against the null hypothesis in favor of the alternative.
c. evidence against the alternative hypothesis in favor of the null hypothesis.
d. evidence in favor of the null hypothesis.
Answer:
t = 1.399<1.710 ( from tabulated value)
we will accepted the null hypothesis
the marketing manager decides to carry out a test of hypothesis
H 0 : μ = 13.50
Step-by-step explanation:
Step1 :-
Given sample size 'n' = 25 customers
The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch.
therefore the population mean 'μ' = $13.50
A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be ¯ x = $ 14.50
sample mean ¯ x = $ 14.50
the restaurant informs the marketing manager that the standard deviation is σ = $ 3.50
Population standard deviation σ = $ 3.50
Step 2:-
we will use' t' test because of given small sample size is n=25
Null hypothesis: H₀ : μ= $ 13.50
Alternative hypothesis :H₁:μ ≠ $ 13.50
Degrees of freedom γ = n-1 = 25-1 =24
The test statistic 't' is
substitute all values , we get
t = 1.399
This is calculated value t = 1.399
The tabulated value of t are 5% level with 24 degrees of freedom
t = 1.710
Step 3:-
t = 1.399<1.710
Since calculated value < The tabulated value of t are 5% level with 24 degrees of freedom.
we will accepted the null hypothesis
the marketing manager decides to carry out a test of hypothesis
find the missing side length.
Answer:
5 ft
Step-by-step explanation:
The answer is 5 ft because the long side is 8 ft and one portion of that side is 8 ft, and 13-8=5.
Find log1/4 rounded to the nearest hundredth.
Answer:
-log_4
Step-by-step explanation:
The value of log1/4 rounded to the nearest hundredth is -0.60
Given the parameter which is needed for our Calculation:
log1/4Using a calculator, the value of log1/4 is -0.602059
Rounding to the nearest hundredth, is two digits after the decimal point.
Hence, we have ;
-0.60 (since the value after 0 is less than 5)Therefore, log1/4 is -0.60
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Which one is not a statistic ?
單選題 (10 分)
A.Sample mean
B.Sample standard error
C.Sample variance.
D.Population mean
Estimate the sum by rounding 5,987+1,450 to the nearest thousand
Answer:
7000
Step-by-step explanation:
plz mark brainliest
Answer:
7,000
Step-by-step explanation:
First, round the numbers:
5,987 → 6,0001,450 → 1,000Next, add:
6,000 + 1,000 = 7,000I hope this helps!
Which model represents the factors of 4x2 - 9?
Answer:
Step-by-step explanation:
What are the choices?
4x^2-9
Both terms are perfect squares.
(2x-3)(x+3)
Answer:
B=#2
Step-by-step explanation:
3. If 4x = 28, find the value of 29 - 5x *
1
-6
O Ο Ο
6
- 1
please help me PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!
Answer: 9.625 cups..
explain BRAINLIEST PLZ HELP!!!!100. Given B(-4,-6), under which reflections is B'(4,6)?
a. reflected in the x-axis
b. reflected in the origin
c. reflected in the y-axis
d. reflected in the line y=x
Under b. reflected in the origin B(-4, -6) would be B'(4, 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Point B(-4, - 6) is given lies on the third quadrant.
Now, If we reflect along y = x it would be (- 6, - 4).
But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).
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Find n and r 10 pointsssss
Answer:
r = 11.623cm (aprox)
n = 6.153cm (aprox)
Step-by-step explanation:
Proportions:
9.8 ⇔ 4.3
n ⇔ 2.7
r ⇔ 5.1
n = 9.8*2.7/4.3 = 6.153 (aprox)
r = 9.8*5.1/4.3
r = 11.623 (aprox)
Absolute value of -4 1/2
Answer: 4 1/2
Step-by-step explanation:
The absolute value of a given number is [tex]4\frac{1}{2}[/tex].
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
The given number is [tex]-4\frac{1}{2}[/tex].
So, absolute value of a number is
|[tex]-4\frac{1}{2}[/tex]|= [tex]4\frac{1}{2}[/tex]
Hence, the absolute value of a given number is [tex]4\frac{1}{2}[/tex].
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Rodney needs $90 to buy a fish tank. He has saved $35 and plans to work as a babysitter to earn $5 per hour. Which inequality shows the minimum number of hours, n, that Rodney should work as a babysitter to earn enough to buy the fish tank? (1 point)
35 + 5n ≥ 90, so n ≥ 11
35 + 5n ≤ 90, so n ≤ 11
5n ≥ 90 + 35, so n ≥ 25
5n ≤ 90 + 35, so n ≤ 25
Answer:
A : 35 + 5n ≥ 90, so n ≥ 11
Step-by-step explanation:
Just took the assesment!
What is the quotient in simplest form?
Three-fourths divided by StartFraction 5 Over 16 EndFraction
StartFraction 15 Over 64 EndFraction
StartFraction 15 Over 16 EndFraction
2 and two-fifths
2 and StartFraction 8 Over 20 EndFraction
Answer:
2 and 2/5
Step-by-step explanation:
Trust me on this, also can I have brainlest please? Hope you do well!
2 and two fifths i took the test 6 years ago
what property is shown below
if q=r and r=s, then q=s
Answer:
Transitivity
Step-by-step explanation:
if q=r and r=s, then q=s
It is by the property of TRANSITIVITY.