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
miv72 [106K]
3 years ago
7

Find f(2) if f(x)=2x+1

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0
Answer: 5

Work Shown:
f(x) = 2x+1
f(2) = 2*2+1 ... x has been replaced with 2
f(2) = 4+1
f(2) = 5
The input is x = 2. The output is y = 5. 
You might be interested in
Pick correct graph from multiple choice options. A.B.C.D
True [87]

Answer:

the answer is d because the line intersects at 4 and none of the other intersect at 4 and the slope would be 1/8.

3 0
3 years ago
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
3 years ago
Which equation demonstrates the additive identity property?
xxMikexx [17]

Answer:

See Explanation

Step-by-step explanation:

<em>The options are not given; however, you can take a clue from my explanation to answer your question</em>

Let x be a real number;

Additive identity property implies that; adding x to 0 or 0 to x gives x;

In other words;

x + 0 = x

0 + x = x

Note that x can be replaced with any real number; Take for instance

1 + 0 = 1

0 + 2.5 = 2.5

3 + 0 = 3

There are uncountable number of examples;

<em>However, take note that adding 0 to a given digit results in the exact digit and that's the implication of addition identity property</em>

7 0
3 years ago
Read 2 more answers
Mr. Grey is planning to fly an airplane from Smithville straight to Sandia. The distance from Smithville to Sandia is 1.5 inches
alexgriva [62]

Answer:

running back the new York city police officer who was arrested on a charge for allegedly carrying out a stolen vehicle was

7 0
3 years ago
For the function f(x) = –(x + 1)^2 + 4, identify the vertex, domain, and range.
olga_2 [115]
B; you can graph the function on a graphic calculator or use algebra find each of the desired aspects
5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify:<br> 14 1/4−12 4/5
    13·1 answer
  • What multiplies to make 12 and adds up to 16
    6·1 answer
  • A 4-digit number ends in 3. If you put the number 3 in the first position, the number will decrease by 738. Find the original 4-
    11·1 answer
  • What is x(b+7)=9 when u solve for x
    10·1 answer
  • Find the slope of a line given the following two points: (-1, 3) and (5,-2).
    13·1 answer
  • If 39 x 100 =x2 whats 9x199=x3???
    5·1 answer
  • Graph the inequality: y​
    14·1 answer
  • What is 26 cm : 4 m in simplest form
    11·2 answers
  • If line PQ and line RS are different names for the same line, what must be true about points P, Q, R, and S?
    5·1 answer
  • Graph the polygon with the given vertices and its image after a reflection in the given line.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!