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3 years ago

Which table represents a linear function?

Mathematics

1 answer:

OleMash [197]3 years ago

5 0

Answer:

the last option

Step-by-step explanation:

can you show the rest of the last option? if there isn't anything cutoff, then the last option would be correct. also, you can use desmos .com next time to help you graph

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Find the amount A accumulated after investing a principle P= $2,000 for t= 8 years at an interest rate r= 6%

Elenna [48]

I=prt

(2000)(.06)(8)

=960

3 0

3 years ago

Find the area of the parallelogram that has a base of 4m and a height of 5.5m.

Sveta_85 [38]

Answer:

22m²

Step-by-step explanation:

Area of parallelogram is simply the base length x height.

In this case, base length = 4m and height = 5.5m

hence,

Area = 4 x 5.5 = 22m²

3 0

3 years ago

Read 2 more answers

A typist can type 4800 words per hour. How many words can she type in 1 minute?

Colt1911 [192]

Answer: 80

1 hour= 60mins

So to know how many words can she type in 1 min, we do the math "4800 : 60"

5 0

3 years ago

A study was conducted and two types of engines, A and B, were compared. Fifty experiments were performed using engine A and 75 u

USPshnik [31]

Answer:

a) -6 mpg.

b) 2.77 mpg

c) The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

Step-by-step explanation:

To solve this question, we need to understand the central limit theorem, and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Gas mileage A: Mean 36, standard deviation 6, sample of 50:

$\mu_A = 36, s_A = \frac{6}{\sqrt{50}} = 0.8485$

Gas mileage B: Mean 42, standard deviation 8, sample of 50:

$\mu_B = 42, s_B = \frac{8}{\sqrt{50}} = 1.1314$

Distribution of the difference:

Mean:

$\mu = \mu_A - \mu_B = 36 - 42 = -6$

Standard error:

$s = \sqrt{s_A^2+s_B^2} = \sqrt{0.8485^2+1.1314^2} = 1.4142$

A. Find the point estimate.

This is the difference of means, that is, -6 mpg.

B. Find the margin of error

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = zs = 1.96*1.4142 = 2.77$

The margin of error is of 2.77 mpg

C. Construct the 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results(5 pts)

The lower end of the interval is the sample mean subtracted by M. So it is -6 - 2.77 = -8.77 mpg

The upper end of the interval is the sample mean added to M. So it is -6 + 2.77 = -3.23 mpg

The 95% confidence interval for the difference of population mean gas mileages for engines A and B and interpret the results, in mpg, is (-8.77, -3.23).

8 0

3 years ago

Whoever can answer this will get brainlyest

azamat

Answer:

The proportion is $\frac{35}{108}$ = $\frac{x}{84}$ , and the length of the unknown side is $\frac{245}{9}$ or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is $\frac{35}{108}$ . MK and KF are corresponding sides, and their proportion is $\frac{x}{84}$ in which x represents the missing side. The proportions are equal, so $\frac{35}{108}$ = $\frac{x}{84}$ . Multiply both sides by 84 to isolate the variable, and you'll get $x = \frac{35*84}{108}$ , which is $\frac{2940}{108}$ or $\frac{245}{9}$ .

6 0

3 years ago