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lidiya [134]
3 years ago
14

From an ordinary deck of 52 playing cards, one is selected at random. What is the probability that the selected card is either a

n ace, a queen, or a three?
A. 0.0769
B. 0.25
C. 0.3
D. 0.2308
Mathematics
1 answer:
stepladder [879]3 years ago
6 0
It will be 12/52  which is d) 0.2308
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In a right ABC with B and C complementary, sin B = p and cos B = q. What is sin C – cos C?
inna [77]

9514 1404 393

Answer:

  q - p

Step-by-step explanation:

For complementary angles B and C, ...

  cos(C) = sin(B) = p

  sin(C) = cos(B) = q

Then the difference is ...

  sin(C) -cos(C) = q - p

7 0
2 years ago
Question 2(Multiple Choice Worth 1 points) (06.01) Solve 2x + 5y = −13 3x − 4y = −8 (4, 1) (−4, 1) (4, −1) (−4, −1)
dlinn [17]
ANSWER

The solution is
(-4,-1)


EXPLANATION

The given equations are:

2x + 5y =  - 13...(1)

and

3x - 4y =  - 8...(2)


We multiply equation 1 by 3 to get,

6x + 15y =  - 39...(3)

We multiply equation 2 also by 2 to get,

6x - 8y =  - 16...(4)

We subtract equation 4 from equation 3 to get,


23y =  - 23
This implies that,

y =  - 1

We put this value of y into any of the equations say equation 2

3x - 4( - 1) =  - 8
Simplify

3x + 4 =  - 8
Group like terms
3x =  - 8 - 4
Simplify,

3x =  - 12

Divide both sides by 3 to get,

x =  - 4


Therefore the solution is
(-4,-1)

The correct answer is option D.
3 0
3 years ago
An industrial psychologist consulting with a chain of music stores knows that the average number of complaints management receiv
vova2212 [387]

Answer: See explanation

Step-by-step explanation:

1. Use the five steps of hypothesis testing.

Step 1: The aim of the research is to conduct the five steps of hypothesis testing.

Step 2:

Null hypothesis: H0 u= 4

Population mean: H1 u = 4

Alternate hypothesis: u ≠ 4

Population mean: u ≠ 4

Step 3 and step 4 are attached.

Step 5: Based on the calculation, the calculated value of t is less than the t critical value, therefore, the null hypothesis will be failed to be rejected.

2. Sketch the distributions involved

This has been attached.

3. Explain the logic of what you did to a person who is familiar with hypothesis testing, but knows nothing about t tests of any kind.

The distribution is "t".

The means is tested by using T-test.

Chi-square is used to test the single variance.

8 0
2 years ago
Which of the following statements is true?
julia-pushkina [17]
A) A triangle can have two congruent angles.
It's called an Isosceles Triangle
5 0
3 years ago
What is x - 3(1-x) = 47 - x
lozanna [386]

Solve for x by simplifying both sides of the equation, then isolating the variable.

x = 10

7 0
3 years ago
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