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Murrr4er [49]
3 years ago
13

An experiment consists of flipping a single

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:

\dfrac{1}{4}

Step-by-step explanation:

The sample space of rolling a six-sided die and a coin is given below:

\left|\begin{array}{c|ccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\H&H1&H2&H3&H4&H5&H6\\T&T1&T2&T3&T4&T5&T6\end{array}\right|

Total Number of Possible Outcomes = 12, i.e. n(S)=12

Let the event of getting a head  followed by an even number = A

A={H2, H4, H6}

n(A)=3

Therefore:

Probability of getting a head  followed by an even number

=\dfrac{n(A)}{n(S)}\\ =\dfrac{3}{12}\\\\=\dfrac{1}{4}

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for some real number A, the graph of the line Y=(A+1)x+8 in the standard (x,y) coordinate plane passes through (2,6). What is th
kondaur [170]

Answer:

  -1

Step-by-step explanation:

The given equation has a y-intercept of 8, so goes through the point (0, 8).

If the line also goes through the point (2, 6) it has a slope of ...

  (y2 -y1)/(x2 -x1) = (6 -8)/(2 -0) = -2/2 = -1

The slope of the line is -1.

_____

The value of A is -2.

8 0
3 years ago
Which of the following is a which of the following is a rational number?
Nastasia [14]

Answer:

A. √25

General Formulas and Concepts:

<u>Math</u>

  • Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
  • Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction

Step-by-step explanation:

<u>Step 1: Define</u>

A. √25

B. √123

C. √20

D. π

<u>Step 2: Identify</u>

A. √25 = 5; Rational

B. √123 ≈ 11.0905...; Irrational

C. √20 = 2√5 ≈ 4.47214...; Irrational

D. π ≈ 3.1415926535897932384626433832795...; Irrational

Therefore, our answer choice is A.

5 0
3 years ago
Ants have 6 legs. Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the n
krek1111 [17]

Answer:

A

Step-by-step explanation:

I agree with Katie because number is legs is directly proportional to the number of ants.

1 ant has 6 legs.

So, 2 ants have 6 *2 = 12

3 ants have 6*3 = 18

6 0
2 years ago
Kenny is making sugar cookies for a school bake sale. He has 3 cups of sugar. The recipe calls for
GREYUIT [131]

Answer:

3 batches

Step-by-step explanation:

8 0
3 years ago
We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.
Sidana [21]
Finding the sample size for estimating a population proportion.

The formula is:

n = (z/m)^2 p~(1−p~)

where:
Z is the z value of the confidence level where 95% is equal to 1.96

M is the margin of error where 0.05

And p~ is the estimated value of the proportion where it is 0.50

Solution:

n = (1.96/0.05)^2 (0.5) (1-0.5)

= 1.536.64 (0.5) (0.5)

= 768.32 (0.5)

= 384.16

This is the minimum sample size, therefore we should round it up to 385. The answer is letter c.
6 0
3 years ago
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