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stealth61 [152]
2 years ago
11

A cereal company is giving away

Mathematics
2 answers:
Liula [17]2 years ago
6 0

Answer:

Throw a die

Every number on the die represents one of the 6 prizes

The amount of times you throw the die describes the number of boxes you need.

Step-by-step explanation:

Rom4ik [11]2 years ago
5 0

Answer:

Here we assume that each prize has the same probability to be in a box.

You can model this with a 6 side dice.

Assign each number of the dice to one different prize, then roll the dice and record the number, each roll corresponds to one box of cereal, and the number means that you get that price. When the 6 different numbers in the dice showed up, means that you got all the prices. Now, the total number of rolls that you needed to get the 6 numbers will be equivalent to the number of boxes that you need to buy in order to get the 6 prizes.

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Solve for x.<br><br> Help please
MAVERICK [17]
X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
4 0
3 years ago
Harper sold a $350,000 home. She earned 3% commission. How much did she make off the sale of the home?
Luden [163]

Answer:

10500 dollars

Step-by-step explanation:

350,000 * .03 = 10500

4 0
2 years ago
In a random sample of 500 handwritten zip code digits, 464 were read correctly by an optical character recognition (OCR) system
In-s [12.5K]

Answer:

z= 2.38

P = 0.008656

Step-by-step explanation:

Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072

We formulate our null and alternate hypothesis as

H0 =  0.9 ;       H0 > 0.9

The degree of confidence = 90%

z₀.₀₅ = 1.645 for  α= 0.05

We use the test statistic

z=  x- np/√npq

z= 466-500 *0.9/ √500 * 0.9(1-0.9)

z= 466- 450/ √45

z= 16/6.7082

z= 2.38

As the calculated value of z= 2.38  is greater than α =1.645 so we reject H0.

If H0 is true the P value is calculated as

P = 1- Ф( 2.38)

P = 1-0.991344=0.008656

7 0
3 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 3.34 centimeters and a standard deviation of
Shtirlitz [24]

Answer:

3.47 and 3.21

Step-by-step explanation:

Let us assume the nails length be X

X \sim N(3.34,0.07^2)

Value let separated the top 3% is T and for bottom it would be B

P(X < T)= 0.97

Now converting, we get

P(Z < \frac{T-3.34}{0.07})= 0.97

Based on the normal standard tables, we get

P(Z < 1.881)= 0.97

Now compare these two above equations

\frac{T-3.34}{0.07} = 1.881 \\\\ T = 1.881 \times 0.07 + 3.34 \\\\ = 3.47

So for top 3% it is 3.47

Now for bottom we applied the same method as shown above

P(Z < \frac{B-3.34}{0.07})= 0.03

Based on the normal standard tables, we get

P(Z < -1.881)= 0.03

Now compare these two above equations

\frac{B-3.34}{0.07} = -1.881

= -1.881 \times 0.07 + 3.34 \\\\ = 3.21

hence, for bottom it would be 3.21

7 0
2 years ago
An 8-pack of water bottles costs $6.80. What is the unit price?<br> per bottle
GalinKa [24]

Answer:

0.85

Step-by-step explanation:

6.80 divied by 8

4 0
2 years ago
Read 2 more answers
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