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vovangra [49]
3 years ago
9

A lottery game requires a person to select two upper case letters and three differentnon-zero digits. How many choices can the c

ustomer make? You may leave your answer as aproduct.
Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

26²×9×8×7

Step-by-step explanation:

To select one ticket from the lottery, the costumer has to make five individual choices, the two letters and the three non-zero digits. To choose the first letter, the person can take any of the 26 letters of the english alphabet. In the same way, the person has 26 choices for the second letter (repetition doesn't matter in this problem).

For the first digit, the costumer has 9 choices. The second digit must be different from the first one, so it has 8 possibilities, and the third digit has 7 choices (it must be different from the previous two).

Using the product rule, the number of ways of choosing the five symbols is 26×26×9×8×7=26²×9×8×7.

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How do I solve this problem?
Gre4nikov [31]
(6b + 42)(b - 3)
To check the answer, use the method FOIL.

3 0
4 years ago
There are 12 red and blue pencils on a desk.There are twice as many red pencils as blue pencils.How many read pencils are there
Mrac [35]

r+b =12

r =2b  (twice as many red as blue)

substitute r = 2b into r+b=12

2b + b = 12

3b =12

divide by 3

b=4

r = 2b

r=2(4)

r=8

There are 4 blue pencils and 8 red pencils

3 0
3 years ago
Read 2 more answers
A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total
mario62 [17]

Answer:

6 to 40

Step-by-step explanation:

add all of the marbles which will give you the total

8 0
3 years ago
X2 + 5x + 9.<br> Find the equation of the axis of symmetry for the parabola y =
Arte-miy333 [17]

Answer:

x = -5/2

Step-by-step explanation:

From the quadratic equation

the axis of symmetry for quadratics of the form

y = ax² + bx + c is

x = -b/2a

x² + 5x + 9

x = -5/2

6 0
3 years ago
The weights of soy patties sold by Veggie Burgers Delight are normally distributed. A random sample of 15 patties yields a mean
Elden [556K]

Answer:

t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549    

Step-by-step explanation:

Data given and notation  

\bar X=3.8 represent the sample mean

s=0.5 represent the sample standard deviation for the sample  

n=15 sample size  

\mu_o =4 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:  

Null hypothesis:\mu \geq 68  

Alternative hypothesis:\mu < 4  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{3.8-4}{\frac{0.5}{\sqrt{15}}}=-1.549    

3 0
3 years ago
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