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liraira [26]
3 years ago
8

There are 400 people in a studio audience. The probability that a person chosen at random from this audience is male is 5/8. How

many males are in the audience?
Mathematics
1 answer:
leonid [27]3 years ago
4 0

Answer:

250 males

Step-by-step explanation:

So 8/8 is the whole which equals 400 in this problem. 4/8 would be 1/2 so it would equal 200. For this certain equation 400 divided into 8th's would be 50. So since there is 5/8 males then you do 5*50 which would equal 250.

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What is the common difference of the arithmetic sequence 5, 8, 11, 14?
AnnZ [28]

Answer:

The common difference is 3

Step-by-step explanation:

we know that

In an <u>Arithmetic Sequence</u> the difference between one term and the next is a constant called the common difference

we have

5,8,11,14

so

a1=5

a2=8

a3=11

a4=14

a2-a1=8-5=3

a3-a2=11-8=3

a4-a3=14-11=3

therefore

The common difference is 3

3 0
3 years ago
A piggy bank contains only quarters and nickels, and there is a total of 60 coins. The total value of coins in the bank is 7.40.
Eduardwww [97]
There are 22 quarters in the bank
8 0
3 years ago
(20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s
Nimfa-mama [501]

Answer:

The P-value is 0.0234.

Step-by-step explanation:

We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.

Let = population mean.

So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}

Alternate Hypothesis, : > 100 {means that the population mean is more than 100}

The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;

T.S. = ~

where, = sample mean = 98

s = sample standard deviation = 20

n = sample size = 400

So, the test statistics = ~

= -2

The value of t-test statistics is -2.

Now, the P-value of the test statistics is given by;

P( < -2) = 0.0234 {using the t-table}

8 0
3 years ago
What is 1/6 plus 3/8 all together
zloy xaker [14]
\frac{1}{6} + \frac{3}{8} = \frac{1\times 4}{6\times 4} + \frac{3\times 3}{8\times 3} = \frac{4}{24} + \frac{9}{24} = \frac{9+4}{24} = \boxed{\frac{13}{24}}}
7 0
3 years ago
A path 1 m wide is build around a garden that is a 30-meter square. What is the area taken by the path?
maria [59]

Length of outer boundary =30m

So area of outer boundary =30×30

= 900m²

Length of inner boundary of path=30-1= 29m

Inner area =29×29 =841m²

So area of path is= outer area - inner area

=900- 841

= 59m²

6 0
2 years ago
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