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Anvisha [2.4K]
3 years ago
10

There are 10 kids that want ice cream. Each one can choose between chocolate, vanilla or strawberry. You'll collect their choice

s and make one order, something like: 5 chocolate, 3 vanilla and 2 strawberry. How many possible orders can you make
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer: There are 30 possible orders that can be made.

Step-by-step explanation:

Given : Number of kids that want ice cream= 10

Choices for flavors : chocolate, vanilla or strawberry.

i.e. Number of choices for flavors = 3

Then by Fundamental principle of counting , the number of possible orders can be =(Number of kids ) x (Choices for flavors)

=10\times3=30

Therefore , the total number of possible orders that can be made = 30.

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Which graph represents the piecewise-defined function?
Valentin [98]

Answer: The below figure shows the graph of f(x).

Explanation: Given function, f(x)=\begin{cases}5 & \text{ if } x6 \end{cases}

Since, here three conditions are given,

In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).

In second case, for values  -5\leq x\leq 6, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point  (0,-2).

In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).

Thus, these three lines make the piecewise-defined function f(x).

7 0
3 years ago
Read 2 more answers
Sara has some fish, 2 birds, and 5 hamsters. She has 6 fewer hamsters than fish.
Gnoma [55]
There are 5 hamsters. If she has 6 fewer hamsters than fish, that means x-6=5
which means 5+6=11 so there are 11 fish.
The answer is 11

6 0
3 years ago
Read 2 more answers
For the table below, determine the function rule, and find each of the missing y-values.
anygoal [31]
The answer is 8 and 13

<span>
y = ax + b
y = 4, x = 1        </span>⇒  4 = a + b
y = 6, x = 3       ⇒  6 = 3a + b

Solve the system of equation:
a + b = 4
3a + b = 6
______
b = 4 - a
3a + b = 6
______
3a + 4 - a = 6
2a + 4 = 6
2a = 6 - 4
2a = 2
a = 2/2 = 1
b = 4 - a = 4 - 1 = 3

So, the function rule is: y = x + 3

Thus, if x = 7, then y = 7 + 3 = 10
If x = 10, then y = 10 + 3 = 13


x y
1 4
3 6
4 7
5 8
7 10
10 13
6 0
2 years ago
The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. Th
Mila [183]

Answer:

The calculated t-value is t=0.47.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Americans typically eat quickly and do not spend time enjoying their meal. A researcher plans to test if those trained in mindfulness will take more time to enjoy their meal (that is, they will spend more time eating than the general population). The general population spends an average of 68 minutes per day combined eating their three meals. The researcher trains a sample of 16 individuals in mindfulness and then collects data on how long they spend eating per day. The sample mean for those trained in mindfulness equals 74; the SS = 150. What is the calculated t-value? Round your answer to two decimal places."</em>

The degrees of freedom are (n-1)=(16-1)=15

The standard deviation is:

s=\sqrt{\frac{SS}{n-1}}=\sqrt{\frac{150}{16-1}}=\sqrt{10}=3.16

The t-value can be calculated as:

t=\frac{M-\mu}{\sigma/\sqrt{n}} =\frac{74-68}{3.16/\sqrt{16}} \\\\t=\frac{6}{3.16*4}=\frac{6}{12.64}= 0.47

4 0
2 years ago
64/143 - 21/208 what does it equal to and how?
Arlecino [84]
2 11/78 you just have to simply multiply 64/143 x2 because since it can't be subtracted. And after you multiply 64/143, you just have to subtract normally which is 128-21 and 286-208. Then since your answer came out to an improper fraction, so you have to simplify by dividing 107 divided by 78. Then you will get your answer which is 2 11/78.

5 0
2 years ago
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