1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lilavasa [31]
3 years ago
7

A company now has 4500 employees nationwide. It wishes to reduce the number of employees by 250 per year through​ retirements un

til its total employment is 2300. How long will this​ take?
Mathematics
1 answer:
Darya [45]3 years ago
6 0

4500 - 2300 = 2200

They wish to get rid of 2200 employees

250(x) = 2200

Divide 2200 by 250

x = 8.8

It will take 8.8 years.

You might be interested in
The temperature of a certain solution is estimated by taking a large number of independent measurements and averaging them. The
Mademuasel [1]

Answer:

(a) The 95% confidence interval for the temperature is (36.80°C, 37.20°C).

(b) The confidence level is 68%.

(c) The necessary assumption is that the population is normally distributed.

(d) The 95% confidence interval for the temperature if 10 measurements were made is (36.93°C, 37.07°C).

Step-by-step explanation:

Let <em>X</em> = temperature of a certain solution.

The estimated mean temperature is, \bar x=37^{o}C.

The estimated standard deviation is, s=0.1^{o}C.

(a)

The general form of a (1 - <em>α</em>)% confidence interval is:

CI=SS\pm CV\times SD

Here,

SS = sample statistic

CV = critical value

SD = standard deviation

It is provided that a large number of independent measurements are taken to estimate the mean and standard deviation.

Since the sample size is large use a <em>z</em>-confidence interval.

The critical value of <em>z</em> for 95% confidence interval is:

z_{0.025}=1.96

Compute the confidence interval as follows:

CI=SS\pm CV\times SD\\=37\pm 1.96\times 0.1\\=37\pm0.196\\=(36.804, 37.196)\\\approx (36.80^{o}C, 37.20^{o}C)

Thus, the 95% confidence interval for the temperature is (36.80°C, 37.20°C).

(b)

The confidence interval is, 37 ± 0.1°C.

Comparing the confidence interval with the general form:

37\pm 0.1=SS\pm CV\times SD

The critical value is,

CV = 1

Compute the value of P (-1 < Z < 1) as follows:

P(-1

The percentage of <em>z</em>-distribution between -1 and 1 is, 68%.

Thus, the confidence level is 68%.

(c)

The confidence interval for population mean can be constructed using either the <em>z</em>-interval or <em>t</em>-interval.

If the sample selected is small and the standard deviation is estimated from the sample, then a <em>t</em>-interval will be used to construct the confidence interval.

But this will be possible only if we assume that the population from which the sample is selected is Normally distributed.

Thus, the necessary assumption is that the population is normally distributed.

(d)

For <em>n</em> = 10 compute a 95% confidence interval for the temperature as follows:

The (1 - <em>α</em>)% <em>t</em>-confidence interval is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\times \frac{s}{\sqrt{n}}

The critical value of <em>t</em> is:

t_{\alpha/2, (n-1)}=t_{0.025, 9}=2.262

*Use a <em>t</em>-table for the critical value.

The 95% confidence interval is:

CI=37\pm 2.262\times \frac{0.1}{\sqrt{10}}\\=37\pm 0.072\\=(36.928, 37.072)\\\approx (36.93^{o}C, 37.07^{o}C)

Thus, the 95% confidence interval for the temperature if 10 measurements were made is (36.93°C, 37.07°C).

3 0
2 years ago
Solve: 7.2 + 3.5
oksano4ka [1.4K]

Hello~

Here!

7 + 3.5

Ary~

7 0
2 years ago
You buy a pair of pants. The original cost of the pants is $30.00. The pants are on sale for 20% off.
AURORKA [14]

Answer:

i think it's $24

5 0
2 years ago
What is the prime factorazation of 100
Artist 52 [7]
2*2*5*5 I hope this helps
6 0
3 years ago
Read 2 more answers
The slope-intercept form of a linear equation is y=mx + b, where x and y are
HACTEHA [7]

Answer:

m = \frac{y-b}{x}

Step-by-step explanation:

Given

y = mx + b ( isolate the term in m by subtracting b from both sides )

y - b = mx ( divide both sides by x )

\frac{y-b}{x} = m

6 0
3 years ago
Other questions:
  • Solve the following problems:
    7·1 answer
  • The length, L, of a steel rod is 7.36 m, correct to 2 decimal places. complete the error interval for,L
    13·1 answer
  • Find distance formula between (-9, 1) &amp; (-5, -2)
    10·1 answer
  • 60 is what percent of 72
    5·2 answers
  • The volume of a sphere is 562.51 in? How many inches are in the radius of the sphere?
    14·2 answers
  • What is the 20th term of the geometric sequence that starts with .02 and has a ratio of 2?
    10·1 answer
  • Solve x² + 6x + 1 = 0
    15·1 answer
  • What is the absolute value of -9.8 ?
    5·2 answers
  • Drag over the word that goes best with the image
    6·1 answer
  • Identify the expression that has two terms.<br> 6 x + 4<br> x/4<br> 2 x<br> 5
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!