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Tomtit [17]
2 years ago
7

On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random eac

h day. Each calculator will be selected and replaced in the set of calculators which have been produced on that day. Calculate the probability that in any one sample, two calculators or less will be faulty.
Mathematics
1 answer:
enyata [817]2 years ago
3 0

The probability that in any one sample, two calculators or less will be faulty is; 100%

<h3>Probability and Random sampling</h3>

According to the task content;

  • A statement of fact indicates that; 20% of the calculators produced in a factory are faulty.

Hence, it follows that, when a sample of 10 calculators is selected randomly each day, 2 of the calculators are faulty by proportion.

Ultimately, the probability that in any one sample, two calculators or less will be faulty is; 100%.

Read more on probability and Random sampling;

brainly.com/question/25403659

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k0ka [10]
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

<h2><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u>:-</h2>

<h3>Given:-</h3>

\bullet Principal (P) = $10,500

\bullet Rate of interest (r) = 4%

\bullet Time (t) = 3 years

<h3>To Find:-</h3>

Interest of Donna and amount of car altogether.

<h2>Solution:-</h2>

We know,

{ \boxed{\rm \red {I \: = \frac{Prt}{100}}}}

\therefore I = \frac{10,500 \: × \: 4 \: × \: 3}{100}

I = \frac{126,000}{100}

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

<h3><u>$</u><u>1</u><u>2</u><u>6</u><u>0</u> interest would Donna pay and <u>$</u><u>1</u><u>1</u><u>,</u><u>7</u><u>6</u><u>0</u> is the car altogether. [Answer]</h3>
7 0
3 years ago
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Evaluate the following expression:<br> 3 + 2(4 + 7)
Romashka [77]

Answer:

25

Step-by-step explanation:

Let's simplify this, while still doing it.

3 + 2(4 + 7)

3 + 2(11)

3 + 22

25.

the answer is 25!!

5 0
3 years ago
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Which of the following uses the distributive property correctly?
Evgen [1.6K]

Answer:

The last one is correct: 3(x+5)=3 . X + 3 . 5

5 0
3 years ago
Help help help help help help help help help help help help help help help help help help​
kvv77 [185]

Answer:

Step-by-step explanation:

Part 1

P(z < -1.45)

Using the z score table

P =

Part 2

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

a) P(X >52)

x = 52

Mean = 60

Standard deviation = 8

z = 52 - 60/8

z = -1

P-value from Z-Table:

P(x<52) = 0.15866

P(x>52) = 1 - P(x<52) = 0.84134

b) P(48 < x < 64)

5 0
2 years ago
Suppose that g(x) varies inversely with (x) and g(x) = 0.2 when x=0.1. What is g(x) when x=1.6?
mestny [16]
Since g(x) varies with x, therefore:
g(x) = k/x where k is a constant.

So, first we need to get k. We are given that g(x) = 0.2 when x = 0.1
Substitute with these values to get k as follows:
g(x) = k/x
0.2 = k/0.1
k = 0.2*0.1 = 0.02

Now, the equation became:
g(x) = 0.02 / x

We need to get the g(x) when x = 1.6
Therefore, we will substitute with x in the equation and calculate the corresponding g as follows:
g(x) = 0.02 / 1.6
g(x) = 0.0125
6 0
2 years ago
Read 2 more answers
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