All categories

2 years ago

Which of the following numbers is closest to 11? O A. 7123 B. V115 O c. 118 O D. 120

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

4 0

Answer:

the answer is D

Step-by-step explanation:

A. √123 = 11.09

11.09-11 = 0.09

B. √115 = 10.72

11-10.72 = 0.28

C. √118 = 10.86

11-10.86 = 0.14

D. √120 = 10.95

11-10.95 = 0.05 ( the smallest difference )

You might be interested in

22. One kilometer is approximately 0.62 mile. What fraction represents this length?

bixtya [17]

Answer:

One kilometer is $\frac{31}{50}$ miles

Explanation:

To convert a decimal to a fraction:

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

Now, for the given problem:

The given decimal is 0.62, following the above steps:

Step 1:

$0.62 = \frac{0.62}{1}$

Step 2:

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

$0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}$

Step 3:

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

$\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}$

Hope this helps :)

6 0

2 years ago

mrs. ramiriz is making pies to sell at the local farmer’s market. it costs her $5 to make each pie, plus a one-time cost of $30

Kazeer [188]

5 divide by 30 equals 6.12 minus 6 equals 6 so she has to make at least 6 pies.

7 0

3 years ago

In this problem we will be dealing with the probability density function (pdf) associated with a continuous random variable, X.

konstantin123 [22]

Answer:

$b)\ 0.568$

Step-by-step explanation:

Given

$f(x) = 6x(1- x);\ 0 \le x \le 1$

Required

$P(0.3 < x < 0.7)$

From the question, we have:

$P(a < x < b) = \int\limits^b_a {f(x)} \, dx$

So, we have:

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x(1 - x)} \, dx$

Open bracket

$P(0.3 < x < 0.7) = \int\limits^{0.7}_{0.3} {6x - 6x^2} \, dx$

Integrate

$P(0.3 < x < 0.7) = \frac{6x^2}{2} - \frac{6x^3}{3}}|\limits^{0.7}_{0.3}$

$P(0.3 < x < 0.7) = 3x^2 - 2x^3|\limits^{0.7}_{0.3}$

Substitute 0.7 and 0.3 for x

$P(0.3 < x < 0.7) = (3*0.7^2 - 2*0.7^3) - (3*0.3^2 - 2*0.3^3)$

Using a calculator, we have:

$P(0.3 < x < 0.7) = (0.784) - (0.216)$

Remove brackets

$P(0.3 < x < 0.7) = 0.784 - 0.216$

$P(0.3 < x < 0.7) = 0.568$

3 0

2 years ago

After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. Typical grocery-store hams are smoked for a sh

Elza [17]

Answer:

107

Step-by-step explanation:

Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.

Let X be the smoking time . Then X is N(mu, 8)

a) The sample is drawn at random

b) The sample represents the population

c) Sample size is sufficient to represent the population

b)For 99% conf interval z critical is taken since population std dev is given

Z critical = 2.58

Hence confi interval = $(\mu+/- 2.58*\frac{\sigma}{\sqrt{n} } \\=(\mu +/- 2.58\frac{8}{6} )\\= (\mu -3.44, \mu+3.44)$

c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval

d) If margin of error is only 2, then we must have

$2.58*\frac{8}{\sqrt{n} } =2\\10.32=\sqrt{n} \\n=106.50\\n~107$

3 0

2 years ago

I need help with this simple question, I am really dumb haha

JulijaS [17]

So, to find the day rate, we divide 90 by 6 = 15
So then we find 15n = 300 for the rate.
n = 20
It will take Stephen 20 days to read a 300-page book

5 0

3 years ago

Read 2 more answers