Answer:
7.5 bags of snack mix, 3.5 bottles of water.
Step-by-step explanation:
This can be found by looking at a system of equations. Setting up our system, we know that they bought 11 items, and that there was a total of $20. Our system would be this:
[tex]x+y=11\\2.5x+1.25y=20[/tex]
We can then solve for a variable in any equation. Let's solve for x in the second equation.
[tex]2.5x+1.25y=20\\2.5x=20-1.25y\\x=8-0.5\\x=7.5[/tex]
Now, we substitute into the other equation.
[tex]x+y=11\\7.5+y=11\\y=11-7.5\\y=3.5[/tex]
We now know both amounts; they bought 7.5 bags of snack mix and 3.5 bottles of water.
A chef is choosing from 13 different entrees for an important banquet, 3 of which contain spinach. The guests will have a choice of 4 entrees. The chef has decided to choose the 4 at random. Write your answers as a decimals rounded to the nearest thousandth. What is the probability that none of the chosen entrees contain spinach
Answer:
0.294 = 29.4% probability that none of the chosen entrees contain spinach.
Step-by-step explanation:
The choices of entrees are chosen without replacement, which means that the hypergeomtric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
13 different entrees for an important banquet
This means that [tex]N = 13[/tex]
3 of which contain spinach.
This means that [tex]k = 3[/tex]
The guests will have a choice of 4 entrees.
This means that [tex]n = 4[/tex]
What is the probability that none of the chosen entrees contain spinach?
This is P(X = 0). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,13,4,3) = \frac{C_{3,0}*C_{10,4}}{C_{13,4}} = 0.294[/tex]
0.294 = 29.4% probability that none of the chosen entrees contain spinach.
Cuanto es?
-4x2 – 26 + 7x – 6x2 + 10 -12x=
Please help me (math)
Is it A and B or just A?
Im 99% sure it is not C :)
PLZ HELP ITS DUE IN 2 MINS
Answer:
x = -5 , x = 1
Step-by-step explanation:
f(x) = ⅔(x + 5)(x - 1)
0 = ⅔(x + 5)(x - 1) → x + 5 = 0 OR x - 1 = 0
x = -5 , 1
Factor the GCF from the expression 30x-6y.
Answer:
6(5x-y)
Step-by-step explanation:
i hope this helps :)
PLEASE HELP URGENT WILL GIVE BRAINLIEST
I am not sure what this means? But branliest to correct answer :)
Answer:
28
Step-by-step explanation:
It is 8 combination 4- using a TI 84, type in 8, then hit math- over to probability then nCr- then 6
Solve for X in the diagram below.
Answer:
X = 56
Step-by-step explanation:
The figure is a kite. The m < 4 = 72 and m < 3 = 18. Find m < 2.
The sum of the angles for a 4 sides figure must add up to 360.
Angle 1 and angle 2 are between similar sides so the 2 angles are identical.
Subtract the known angles from 360:
360 - 72 - 18 = 270
Divide that by 2:
270*2 = 135
Angle 2 = 135 degrees.
Need help ASAP
Question 7
Answer:
23
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which number is a solution of the equation l8c sided 5 use the number line to help answer the question A2B 2.5 c5d 6.5
Answer:
Can I see a picture?
Step-by-step explanation:
HELP ASAP
The perimeter of a semicircle is 27.756 inches. What is the semicircle's radius?
Answer:
r = 5.4
Step-by-step explanation:
Formula:
P = πr + 2r
27.756 = πr + 2r
27.756 = 3.14r + 2r
27.756 = 5.14r
r = 5.4
A. Y = 1/3(3)^x
B. Y= 3(1/3)^x
C. Y= (1/2)^x +2
D. Y=(2)^x - 1
Answer:
B
Step-by-step explanation:
Look at the graph, it passes to (0,3), so you need to replace that coordinate into A,B,C,D. Then you can see, there is only B and C satisfies.
[tex]Y=3(\frac{1}{3} )^{0}=3.1=3.[/tex]
and
[tex]Y=(\frac{1}{2} )^{0}+2=1+2=3[/tex]
Next step, you can see when x approach to infinite then Y approach to 0.
Hence, we will take limit of B and C, if limit B or C equals to 0 then we will choose.
[tex]\lim_{x \to \infty} {3(\frac{1}{3})^x=3. \lim_{x \to \infty} {(\frac{1}{3})^x=3.0=0[/tex]
and
[tex]\lim_{x \to \infty} {[(\frac{1}{2})^x+2]}= \lim_{x \to \infty} {(\frac{1}{2})^x}+ \lim_{x \to \infty} {2}=0+2=2[/tex]
We can see that only B is satisfied.
Ruby is designing a t shirt logo for her company. The shirt printing company offers 12 colors to choose from for the logo
design. If any number of colors can be chosen, how many different color combinations are possible?
Answer: 4096
Step-by-step explanation: 2^12
There are 4096 different color combinations are possible.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
Given that The shirt printing company offers 12 colors to choose from for the logo design.
Here, we need to get the possible number of color combinations possible.
Since any number of colors can be chosen, there are no restriction.
That means the number of possible color combinations are;
[tex]2^{12} = 4096[/tex]
There are 4096 different color combinations are possible.
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Identify the set of perpendicular lines in this image.
who said let me in let me in plz it's been i said 2 minutes it been 2 minutes
Answer:
me
Step-by-step explanation:
What is it in standard form.
Answer:
305,080.0809 is the answer
The length of a rectangle is 3 units more than its width. If
w represents the width of the rectangle, which of these
expressions represents the area of the rectangle?
Answer:
Step-by-step explanation:The length is 3+l therefore the Expression is (3+l)>w
You can buy jars of the same jam in two sizes.
Small Jar
Large Jar
540g for £2.16
360g for £1.37
By considering the price per gram, work out
which jar is the best value for money.
Working must be shown.
Answer:
Small jar
Step-by-step explanation:
Small jar
[tex]1.37 \div 360 = 0.0038[/tex]
Large jar
[tex]2.16 \div 540 = 0.004[/tex]
Which expression is NOT equivalent to the expression 8m + 12?
A - 1/2 (16m + 24)
B - 4 (2m + 3)
C - 2 (4m + 6)
D - 8 (m +12)
9514 1404 393
Answer:
D. 8 (m +12)
Step-by-step explanation:
One cannot factor the coefficient from the first term and apply that to both terms. The result is NOT equivalent.
8m +12 ≠ 8(m +12) = 8m +96
2(34 + 12) > 5b This inequality contains a variable, b. Choose ALL numbers that make this inequality true. A) 16 B) 18 C) 19 D) 20 E) 22
Answer:
A and B
Step-by-step explanation:
Randy wants to install a patio, which will be filled with concrete. The dimensions of the patio are 14 m long, 8 m wide, and 1 m deep. Determine the cost of the
concrete to be used while installing the patio if the concrete is available to Randy at the rate of $5 per cubic meter.
The cost of the concrete for installing the patio will be,
Answer:
Total cost of patio = $560
Step-by-step explanation:
Given:
Length of patio = 14 m
Width of patio = 8 m
Height of patio = 1 m
Cost of 1 m³ concrete = $5
Find:
Total cost of patio
Computation:
Volume of patio = l x b x h
Volume of patio = 14 x 8 x 1
Volume of patio = 112 m³
Total cost of patio = Volume of patio x $5
Total cost of patio = 112 x $5
Total cost of patio = $560
Plz if u can explain how to do this but don’t use links plz
Answer:
Circumference = π*diameter
If you get the circumference of a circle and then divide it into the diameters of said circle, you get exactly 3.1415962 ect. (most math formulas use 3.14 for pi so its more simpler)
hope that helped! if you have any questions, just ask them in the comments.
btw the answer is 50.24 inches.
NO LINK I WILL MARK BRAINLIEST
Answer:
13.5
Step-by-step explanation:
Question 3 of 10
Which statement is not correct?
A. A 100° angle is an obtuse angle.
B. A 175° angle is a reflex angle.
C. The terminal side of a 225° angle is in quadrant III.
D. An 85° angle is an acute angle.
SUBMIT
From the above explanation, the option B statement is not correct.
From the given options we need to identify which statement is not correct.
What is an obtuse angle?An obtuse angle is any angle greater than 90° and less than 180°.
From option A:
100° angle is an obtuse angle, because which is greater than 90° and less than 180°.
From option B:
175° angle is a reflex angle because it is greater than 180° and less than 360°.
From option C:
Less than 90° lies in I quadrant, more than 90° and less than 180° lies in II quadrant and more than 180° and less than 270° lies in III quadrant.
From option D:
An 85° angle is an acute angle because it is greater than 0° and less than 90°.
From the above explanation, the option B statement is not correct.
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A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 14% of the employees needed corrective shoes, 21% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work
Answer:
0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.
Step-by-step explanation:
We solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Needing corrective shoes.
Event B: Needing major dental work.
14% of the employees needed corrective shoes
This means that [tex]P(A) = 0.14[/tex]
21% needed major dental work
This means that [tex]P(B) = 0.21[/tex]
3% needed both corrective shoes and major dental work.
This means that [tex]P(A \cap B) = 0.03[/tex]
What is the probability that an employee selected at random will need either corrective shoes or major dental work?
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So, from the values given by the exercise:
[tex]P(A \cup B) = 0.14 + 0.21 - 0.03 = 0.32[/tex]
0.32 = 32% probability that an employee selected at random will need either corrective shoes or major dental work.
Choose the three examples that can be measured with volume.
A. the space inside a paper bag
B. the amount of water in a pond
C. the space covered up by a poster
D. the amount of soup a bowl will hold
E. the amount of space on the surface of a table
The space inside a paper bag, the amount of water in a pond and the amount of soup a bowl will hold. Therefore, options A, B and D are the correct answers.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Volume is the amount of space taken up by an object, while capacity is the measure of an object's ability to hold a substance, like a solid, a liquid or a gas. Volume is measured in cubic units, while capacity can be measured in almost every other unit, including liters, gallons, pounds, etc.
Therefore, options A, B and D are the correct answers.
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the table below shows' different possibilities for the number of games a team would need to win to maintain a certain percentage of wins. Which ratio of games won to the number of games played could also be included in this table?
Answer:
C
Step-by-step explanation:
I saw em in other ones
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
It has no solution.
It has one solution
It has two solutions.
It has infinitely many solutions.
Answer:
I think D
Step-by-step explanation:
not completely sure
Because the fractions that contain the variable z are different in each side of the equal sign and there are no radicals in the equation, the answer would be:
It has one solution
X is directly proportional to y.work out the missing values,p and q, in the table
Answer:
p = 21, and q = 30
Step-by-step explanation:
If x is directly proportional to y, then we know:
y = 35x / 60
We can factor 5 out of that, giving us:
y = 7x / 12
We can also find the inverse of that relationship:
y = 7x / 12
12y = 7x
x = 12y / 7
So in the second row, where x = 36:
y = 7 × 36 / 12
y = 7 × 3
y = 21
And in the third row where y = 17.5:
x = 12 × 17.5 / 7
x = 210 / 7
x = 30
So p = 21, and q = 30