An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
Group of answer choices
0.2
0.4
0.35
0.45
Answers
so to answer you should do 0.45+0.35= 0.8
then 1-0.8 =0.2
so Z is 0.2
The value of z = 0.2
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Sum of probabilities:"The sum of the probabilities of all outcomes must equal 1."
For given situation,
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
The probability of customers choosing Vanilla flavor = 0.45
The probability of customers choosing Chocolate flavor = 0.35
We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.
The sum of the probabilities of all outcomes must equal 1.
From given tree diagram,
⇒ 0.45 + 0.35 + z = 1
⇒ 0.8 + z = 1
⇒ z = 1 - 0.8
⇒ z = 0.2
Therefore, the correct answer is option (A)
Learn more about probability here:
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Related Questions
Solve the equation below for y.
12(y−8) = 14y−2
Answers
Answer:
y=-47
Step-by-step explanation:
12(y-8)=14y-2
12y-96=14y-2
-96=14y-2-12y
-96=2y-2
-96+2=2y
-94=2y
-94/2=y
-47=y
y=-47
Answer:
-47
Step-by-step explanation:
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
First solve for x.
Answers
Answer:
2x + 7= 4x + 17
x=−5
for a field trip a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is $200, if there are 30 students, the total cost is $230. write an equation in point slope form,where y repersents a cost for any given number of x students
Answers
Answer: The answer is 8
Step-by-step explanation: 8 x 25 =200
what is ratio of the area of the larger pizza to the area of the smalles pizza ? 12 in to 18 in pizzas ?
Answers
Answer:
18/12= 1.5
Step-by-step explanation:
divide the larger inch by the smaller one so we get a ratio of 18:12
or 1.5:1
where the bigger one is 1.5 times larger for every inch of smaller pie
In a certain chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it contain?
Answers
Answer: 82.3 g
Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol =
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answers
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11Step by step explanation
Answers
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
Does this table represent a proportional relationship?
A) Yes
B) No
Answers
Find the y-intercept of the graph
Answers
Answer:
The y intercept is zero
Step-by-step explanation:
Help 39 point pic below Math
Answers
Step-by-step explanation:
Remember the Difference of Squares:
a² - b² = (a + b)(a - b)
Therefore (√20 - √3)(√20 + √3)
= (√20)² - (√3)² = 20 - 3 = 17. (C)
What expression -5+(-5r)+10
Answers
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
Answers
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
If 2+√2 and 2-√2 are the roots of the quadratic equation
-3x²+11x +c=0, find the value of c. The ans is -6,may you show me the steps?
Answers
hope it will help you..........
Hey can yall help me with this question thank you
Answers
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
HElp PLZ DUE RIGHT KNaw
Answers
Answer:
variables :)
Step-by-step explanation:
Answer:
[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]
Please help I’m confused also if you can’t see it just click on the picture.
Answers
Find the slope: change in y over change in x:
Slope = 30 - -5/ 6- -1 = 35/7 = 5
Find y intercept (the y value when x is 0)
Y = 5(0) = 0
There is no y intercept
The function rule would be:
Y = 5x
I need 6x-8=5x+4 solved
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6x-8=5x+4 Equation/Question
Step 2
6x-8=5x+4 simplify
6x-8=5x+4
Step 3
6x-8=5x+4 Subtract
x-8=4
Step 4
x-8=4 Add 8
answer
x=12
Hope this helps
Answer:
The answer is x = 12
Step-by-step explanation:
So, first you're going to add 8 on both sides
6x - 8 +8 = 5x + 4 + 8
Then simplify
6x = 5x + 12
Then subtract 5x from both sides
6x - 5x = 5x + 12 - 5x
Then simplify again and you get
x = 12
Hope this helped!
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answers
Answer:
A
Step-by-step explanation:
;)
Can you fill in the chart?
Answers
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answers
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
Someone plz help me plz
Answers
Answer:
3(24+56)
Step-by-step explanation:
3 times sum of 24 and 56 so your adding 24 and 56 and multiplying it by 3
3(24+56)
Answer:
3(24 +56)
Step-by-step explanation:
sum of 24 and 56 means addition
3 times the sum means multiplication
the format you'd use in math would be 3(24 +56)
Which statement about these triangles is true?
Answers
What is the value − 3 1/4 ∙ 2 1/3
Answers
Answer:
the value of this is-217÷4 = -54.25
PLEASE ANSWER QUICKLY!
Answers
Answer:
x = -9 Its B
Step-by-step explanation:
Because it can go both ways either + or -
Answer:
d
Step-by-step explanation:
b/c |-9|+10=19 |9|+10=19 |0|+10=10
A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission
Answers
Answer:
313000/100 X 4.5 = 14085
14085/100 X 20 = 2817
14085 - 2817 = 11268
agency = 11268
agent = 2817
Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they
Answers
Answer:
35% off
Step-by-step explanation:
= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%
Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%
2.6 is a 35% decrease of 4.
Explanation: 30%= 0.30
4 times 0.30= 1.4
4-1.4= 2.6
how is 1/5 changed to a decimal
Answers
Answer:
just divide 1/5 by 100 and you should get it
Step-by-step explanation:
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answers
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answers
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answers
Answer:
B
Step-by-step explanation: