Which term best describes a figure formed by three segments connecting three non Collin ear points

Answer:

10 units

Step-by-step explanation:

Point A (3,-1)

Point B (-5,5)

Distance between them,

√{(-5-3)²+(5-(-1))²}

= √{(-8)²+6²}

= √(64+36)

= √100

= 10 units

To find S or T add them together:

3/5 + 1/3

Rewrite the fractions to have a common denominator

9/15 + 5/15 = 14/15

Answer: 14/15

Step-by-step explanation:

Here is your answer . Hope it helps.

Answer: m = 1/2

Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.

So divide both sides by 2 to get y = 1/2x - 4.

Now the slope is the coefficient of the x term which is 1/2.

This is a positive slope.

Answer:

I think it's a function

Step-by-step explanation:

as you can see in the picture curve drawn in a graph represents a function, if every vertical line intersects the curve in at most one point. So I think its a function.

Answer:

yes

Step-by-step explanation:

it's a cubic function having maximum and minimum turning points

it has a point of inflation, y - intercept and x-intercept

Answer:

1 11/20

Step-by-step explanation:

3 3/4 - 2 1/5

Get a common denominator of 20

3 3/4 *5/5  -2 1/5 *4/4

3 15/20 - 2 4/20

1 11/20

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}}[/tex]

see this attachment☝

Answer:

dbcjchdiskcnbcksksnnckdkxnn

Answer:

102 km/hr

90 km/hr

Step-by-step explanation:

Given that :

Total distance = 576

Time taken = 3 hours

Bus A :

Speed = x

Bus B :

Speed = x - 12

Recall :

Distance = speed * time

Hence,

Distance covered by A + Distance covered by B = total distance covered

(x * 3) + ((x - 12) * 3) = 576

3x + 3x - 36 = 576

6x = 576 + 36

6x = 612

x = 612 / 6

x = 102

Speed of faster bus, x = 102 km/h

Speed of slower bus, x - 12 = (102 - 12) = 90 km/hr

9514 1404 393

Answer:

  10 cm

Step-by-step explanation:

The given area is the product of the side lengths, so the angle between them must be 90°.

  Area = ab·sin(C) . . . . . where C is the angle between sides 'a' and 'b'.

  48 cm² = (8 cm)(6 cm)·sin(C)

  1 = sin(C)   ⇒   C = 90° . . . . . . . . divide by 48 cm², find the arcsin

__

The diagonal of the parallelogram (rectangle) can be found from the Pythagorean theorem. (Using the law of cosines would give the same result.)

  d² = 8² +6² = 64+36 = 100

  d = √100 = 10 . . . . cm

The length of the diagonal is 10 cm.

_____

Additional comment

You may recognize the diagonal and the given sides form a 3-4-5 right triangle with a scale factor of 2. The diagonal will be the hypotenuse of a right triangle only if the parallelogram is a rectangle.

Answer:

3x

Step-by-step explanation:

9x^2 ?6x

9x? 6x

÷3x. ÷3x

=3x and 2x

highest number is 3x

Answer:

D. 0.9938.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

Mean of 115 and a standard deviation of 8.

This means that [tex]\mu = 115, \sigma = 8[/tex]

100 people are randomly selected

This means that [tex]n = 100, s = \frac{8}{\sqrt{100}} = 0.8[/tex]

Find the probability that their mean blood pressure will be less than 117.

This is the p-value of Z when X = 117, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{117 - 115}{0.8}[/tex]

[tex]Z = 2.5[/tex]

[tex]Z = 2.5[/tex] has a p-value of 0.9938, and thus, the correct answer is given by option D.

We know the formula

[tex]\boxed{\displaystyle\int x^ndx=\dfrac{x^{n+1}}{n+1}+c}[/tex]

[tex]\\ \displaystyle\longmapsto \int (1+3x+2y)dx[/tex]

[tex]\\ \displaystyle\longmapsto \dfrac{3x^{1+1}}{1+1}+\dfrac{2y^{1+1}}{1+1}+1[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x^2}{2}+\dfrac{2y^2}{2}+1[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x^2}{2}+y^2+1[/tex]

[tex]\\ \sf\longmapsto \dfrac{3x^2+2y^2+2}{2}[/tex]

Answer:

[tex]\\\int _{\:}^{\:}\int _{\:}^{\:}\:1+3x+2y\:dxdy=Cy+\frac{3x^2}{2}y+xy+xy^2+C[/tex]

Step-by-step explanation:

[tex]\\\int _{\:}^{\:}\int _{\:}^{\:}\:1+3x+2y\:dxdy[/tex]

[tex]\int _{\:}^{\:}\left(1+3x+2y\right)\:dx\:=x+2yx\:+\frac{3x^2}{2}+C[/tex]

[tex]=\int \left(x+2yx+\frac{3x^2}{2}+C\right)dy[/tex]

[tex]=Cy+\frac{3x^2}{2}y+xy+xy^2+C[/tex]

Answer:

below

Step-by-step explanation:

the is the procedure above

Answer:

No

Step-by-step explanation:

The measure of <JAC is shown to be 93°.

The little square symbol inside <DBE shows that <DBE is a right angle.

The measure of a right angle is 90°.

m<DBE = 90°

Congruent angles are angles with equal measures.

Since the measures of angles JAC and DBE are different, they are not congruent.

Answer: No

Answer:

first option f(x) -> negative infinity

Step-by-step explanation:

the other answer is sadly wrong.

there is a "-" in front of the expression.

-2x³ had two parts

-2, which is multiplied to x³

now x³ goes to (positive) infinity for x going to (positive) infinity.

but because this is multiplied by a negative value (-2), all the functional values for positive x are negative.

therefore, the function goes to negative infinity for x going to (positive) infinity.

The end behavior of f(x) as x goes to infinity is (a) f(x) → negative infinity

The function is given as:

f(x) = -2x^3

Next, we plot the graph of the function (see attachment)

From the graph, we can see that as the x values increase to infinity, the function values approaches negative infinity

Hence, the end behavior of f(x) as x goes to infinity is (a) f(x) → negative infinity

Read more about end behavior at:

https://brainly.com/question/11275875

Answer:

9999*999

Step-by-step explanation:

it 6 in the morning

Answer:

0.0064

0.00032

Step-by-step explanation:

Given the details:

P(X > 3), n = 5, p = 0.2

The binomial distribution is related using the formula:

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 1 - 0.2 = 0.8

P(X > 3) = p(x = 4) + p(x = 5)

P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064

P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032

Answer:

0.392

Step-by-step explanation:

Given :

Sample size, n = 144

Mean score, = 5.91

Standard deviation, σ = 2.4

The margin of error at 95% confidence, α = 0.05

The margin of error = Zcritical * σ/√n

We use Z because we σ is known

Zcritical at 95% = 1.96

The margin of error = 1.96 * 2.4/√144

The margin of error = 1.96 * 2.4/12

= 1.96 * 0.2

= 0.392

Answer:

the next number is going to be46

Answer:

the next number will be 46

Answer:

[tex]2.5\%[/tex]

Step-by-step explanation:

From the Empirical Rule, 95% of the data shown falls between 63 and 95. The other 5% is evenly distributed to each side (since the distribution is bell-shaped), hence there being [tex]\boxed{2.5\%}[/tex] of scores less than 63.

The directions say to give the approximate percentage which is vague. You may have to input [tex]3\%[/tex] if it does not accept [tex]2.5\%[/tex].

Answer:

need the information

Step-by-step explanation:

Answer:

a) Sample size larger than 30, so by the Central Limit Theorem, yes.

b) 0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. The sketch is given at the end.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

Mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds.

This means that [tex]\mu = 13.8, \sigma = 11.8[/tex]

Sample of 36

This means that [tex]n = 36, s = \frac{11.8}{\sqrt{36}} = 1.9667[/tex]

a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?

Sample size larger than 30, so by the Central Limit Theorem, yes.

b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.

This is 1 subtracted by the p-value of Z when X = 12. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{12 - 13.8}{1.9667}[/tex]

[tex]Z = -0.915[/tex]

[tex]Z = -0.915[/tex] has a p-value of 0.1801.

1 - 0.1801 = 0.8199

0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds.

Sketch:

Answer and Explanation:

Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.

Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.

Step-by-step explanation:

total outcomes = 720

favourable outcomes =8

=8/720

=0.01111

Answer:

x(12y+4)

2 0 l e t t e r s