The table and scatterplot shows the additional plant growth measured each day for particular days.
Which two points should the trend line go through to best represent the data given in this scatterplot? (2, 1) and (3, 1.5)
(2, 1) and (5, 2)
(6, 2) and (8, 2)
(6, 2) and (10.1.75)

Answer:

65 minutes

Step-by-step explanation:

20+15=35

35+30=65

Answer:

x = 2√3

Step-by-step explanation:

x² = √6² + √6²

x² = 6 + 6 = 12

x = √12 = 2√3

I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!

Answer:

Step-by-step explanation:

Volume of a cylinder formula = πr^2h

r (radius) = 5/2 = 2.5

h (height) = 3

Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units

Answer:

$3.57

Step-by-step explanation:

Multiply $23.80 by %15

Change %15 to a decimal by multiplying it by 100.

0.15 x $23.80= $3.57

Answer:

Step-by-step explanation:

7/10 are black therefore 14/20 are black

Answer:

horizontal asymptote at y = 0

Step-by-step explanation:

According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.

However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.

It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:

f(x) = (xe)^((-x)^2)

The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.

hope that helps, I really don't know thought. Quite tricky

Answer:

Definitely not "feels"!

Step-by-step explanation:

I would go with " Always" aka "A"

Answer:

I think C, never irrational

Step-by-step explanation:

I feel you, link scams are horrible.

If this answer helped, please give brainliest! It would help a lot if you gave it :D

Answer:

A

Step-by-step explanation:

When finding out which number is the greatest, I would convert these numbers to numerals with decimals for easier comparison.

3[tex]\sqrt{5}[/tex] is approximately 6.71.

6[tex]\frac{1}{4}[/tex] is 6.25

6.55 is, well 6.55.

From here, we can tell that 6.71 is the greatest, followed by 6.55 and 6.25 is the smallest. Thus, the order in descending order should be 3[tex]\sqrt{5}[/tex], 6.55 then 6[tex]\frac{1}{4}[/tex], which is Option A.

Answer:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question, we have that:

Mean = 2.56

Standard deviation = 0.43

What percentage of the students have grade point averages that are between 2.13 and 2.99?

2.56 - 0.43 = 2.13

2.56 + 0.43 = 2.99

Within one standard deviation of the mean, so, by the Empirical Rule:

Approximately 68% of the students have grade point averages that are between 2.13 and 2.99.

Answer:

$6.20

Step-by-step explanation:

5.75 * 2.40= 13.80

20-13.80= 6.20

$6.20

Answer:

Step-by-step explanation:

Answer:

sdfsefsesfsfsefsefsefsefsfsefesef

Step-by-step explanation:

Answer:

I think its the first and the third one

Step-by-step explanation:

lemme know if this helps :)

Answer:

Step-by-step explanation:

Answer:

There is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Step-by-step explanation:

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 403 gram setting.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 403[/tex]

Is there sufficient evidence at the 0.01 level that the bags are underfilled or overfilled:

This means that at the alternate hypothesis, we are testing if the mean is different than 403, that is:

[tex]H_{a}: \mu \neq 403[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Value of 403 tested at the null hypothesis:

This means that [tex]\mu = 403[/tex]

A 10 bag sample had a mean of 411 grams with a variance of 121.

This means that [tex]n = 10, X = 411, \sigma = \sqrt{121} = 11[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{411 - 403}{\frac{11}{\sqrt{10}}}[/tex]

[tex]z = 2.3[/tex]

Pvalue:

Testing if the mean is different of a value, and z positive, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.3

Looking at the z-table, z = 2.3 has a pvalue of 0.9893

1 - 0.9893 = 0.0107

2*0.0107 = 0.0214

0.0214 > 0.01, which means that there is not sufficient evidence at the 0.01 level that the bags are underfilled or overfilled

Answer:

Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.

Step-by-step explanation:

Answer:

A.

You get a head and a tail in two coin tosses with two different coins.

Step-by-step explanation:

I took the test and got it right!

Answer:

P(X > 4) = 0.8059

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question, we have that:

[tex]n = 8, p = 0.7[/tex]

We want:

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541[/tex]

[tex]P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965[/tex]

[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]

[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]

Then

[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059[/tex]

So

P(X > 4) = 0.8059

Answer:

2.5 mg

Step-by-step explanation:

Given the data:

23 24 23 29 28 26 27 28 26

The sample standard deviation, s

s = sqrt[Σ(x - mean)²] ÷ (n - 1)

Mean, m = ΣX / n

n = 9

Mean = 234 /9 = 26

Using a calculator :

s = 2.236

The margin of error, MOE

MOE = Tcritical * s/sqrt(n)

Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536

MOE = 3.35536 * 2.236/sqrt(9)

MOE = 3.35536 * 2.236/3

MOE = 3.35536 * 0.7453333

MOE = 2.50086

MOE = 2.5

Answer:

It should be C

Step-by-step explanation:

You want to cancel out the x variables

Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26    =  L * 4 1/3

26  =   L * 13/3

L  = 26 divided by 13/3

L = 26 * 3/13  =  6

answer = 6

Answer:

-2, 1, 4

Step-by-step explanation:

Answer:

I hope this helps you

Step-by-step explanation:

1/8 ÷ 3 = 1/8 × 1/3

= 1/24

= 0.0416666667

Answer:

We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

Step-by-step explanation:

Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.

This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]

The production group believes that the mean weight has changed.

This means that the alternate hypothesis is:

[tex]H_a: \mu \neq 12[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

12 is tested at the null hypothesis:

This means that [tex]\mu = 12[/tex]

They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.

This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]

[tex]z = 2.42[/tex]

Pvalue of the test:

We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.

Looking at the z-table, z = 2.42 has a pvalue of 0.9922

1 - 0.9922 = 0.0078

2*0.0078 = 0.0156

What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?

0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.

9514 1404 393

Answer:

  x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}

Step-by-step explanation:

I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...

  2x^5 -6x^3 -4x^2 -2x +4 = 0

  2(x -2)(x^4 +2x^3 +x^2 -1) = 0

We can recognize that the quartic factor is actually the difference of two squares:

  x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0

So it resolves to two quadratic factors.

  (x^2 +x +1)(x^2 +x -1) = 0

One will have real roots, as shown by the graph. The other will have complex roots.

  x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots

  (x +1/2)^2 = 5/4

  x = -1/2 ± √(5/4) . . . . . . irrational real roots

__

  x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots

  (x +1/2)^2 = -1 +1/4 . . . complete the square

  x = -1/2 ± i√(3/4) . . . . irrational complex roots

__

In summary, the values of x that satisfy the equation are ...

 x = 2

  x = -1/2 ± √(5/4)

  x = -1/2 ± i√(3/4)

The answer is:

[tex] \frac{14}{59} [/tex]Decimal form is 0.2372 is infinity

Explication:

7(2x +2 )= 73x (Remove the parentheses and sort out 7 and solve for each number that is in the parentheses)

14x+14=73x

14x=73-14

-59x=-14

Both sides are divided by -59 but the -59 / -59 is canceled

Answer:

The area of the bookmark is  68.56  cm².

Step-by-step explanation:

Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).

Find the area of the simpler figures.

Rectangle

A = LW

A = 14 · 4

A = 56

The area of the rectangle is 56 cm2.

Circle

A = πr2

A = 3.14(2)2

A = 3.14(4)

A = 12.56

The area of the circle is 12.56 cm2.

Find the area of the bookmark.

A = 56 + 12.56

A = 68.56

The area of the bookmark is 68.56 cm².

Answer:

B) (1/2, -8)

Step-by-step explanation:

(1, -6) and (0, -10)

Midpoint formula:

((x1+x2)/2, (y1+y2)/2)

Solving for x:

(x1+x2)/2

(1 + 0)/2

1/2

Solving for y:

(y1+y2)/2

(-6-10)/2

(-16)/2

-8

Answer:

24 because hsbs. hwhvw w Whelan has w hahaha