What is the distance between points L(−5, 7) and M(3, −8)?

Answer:

P'(C) = 0.98

Step-by-step explanation:

Given that,

P(C) = 0.02 (The probability of getting C)

We need to find the complement of P(C) i.e. P'(C).

We know that,

P(C)+P'(C)=1

P'(C) = 1-P(C)

= 1-0.02

= 0.98

So, the complement of P(C) is equal to 0.98.

Answer:

0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.

Step-by-step explanation:

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.

Mean score of 501 points, and a standard deviation of 85 points.

This means that [tex]\mu = 501, \sigma = 85[/tex]

What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?

This is 1 subtracted by the p-value of Z when X = 600. So

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

[tex]Z = \frac{600 - 501}{85}[/tex]

[tex]Z = 1.165[/tex]

[tex]Z = 1.165[/tex] has a p-value of 0.878.

1 - 0.878 = 0.122

0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.

Answer:

15

Step-by-step explanation:

a^2 + b^2 = c^2

20^2 +b^2 = 25^2

400 + b^2 = 625

-400           -400

b^2 = 225

b = √225

b = 15

Answer:

1/9 ÷ 2

= 1/9 × 1/2

= 1/18

Step-by-step explanation:

THAT IS MY ANSWER HOPE IT HELPS

Answer:

Step-by-step explanation:

First make the denominators the same.

Take the LCM of (8, 12 , 8) = 24

So,

      [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]

[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]

That is,

           [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]

Solution :

From the given graph the x-intercept is 2 and y-intercept is -1 .

So, equation of line in intercept form is :

[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]

[tex]y = \dfrac{x-2}{2}[/tex]

Now, putting x = 4 in above equation, we get :

[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]

Therefore, the value of function at x =4 is 1 .

Answer:

1,5

Step-by-step explanation:

there is an obvious pattern in the coordinate plane and the coordinates (5, 1) completes that pattern

hope that helped :)

Answer: (4,2), (1,2), (4,5]

Step-by-step explanation: hope this helps

Answer: =

Step-by-step explanation: just took the test

We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.

Here we have two angles, one in degrees and  the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.

The angles are:

pi/3 rads

60°

First, remember that:

pi rads = 180°

1 rad = (180°/pi)

With this, we can change the units of the first angle to get:

pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°

So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.

pi/3 rads = 60°

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The probability that at least three plants produce two or more seeds is 0.793915.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there be x successes is given by

Use binomial distribution, with p =0.20, n=5, x=3

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

P(X> = 3)

[tex]=1-(P(X=0)+P(X=1)+P(X= 5 ))\\=1-(C(20,0)0.2^0 (0.8)^{20-0}+C(20,1)0.2^1 (0.8)^{20-1}+C(20,2)0.2^2 (0.8)^{20-2})[/tex]

=1-(0.0115292+0.057646+0.136909)

=1-0.206085

=0.793915

Hence, the probability that at least three plants produce two or more seeds is 0.793915.

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Step-by-step explanation:

hope it helps you see the attachment for further information

Answer:

circumference =2×3.14

circumference =6.28 m

Answer: 3/11 would be the answer

Answer:

x=36

Step-by-step explanation:

because 4x36=144

Answer:

4x = 144

4 • 36 = 144

The answer to the equation is 36

Answer:

Angle B = 29.74

Step-by-step explanation:

Tan(x)=opp/adj

Tan(x)=4/7

x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]

x=29.74

Answer:

xy

Step-by-step explanation:

xy³ and x³y

GCF is xy

Answer:

I think it's xy

Step-by-step explanation:

just find the prime factors of each term

Answer:

y=-2/3x

Step-by-step explanation:

Perpendicular gradients(slopes) are negative reciprocals so first rearrange the given equation to find the gradient. y=3/2x-7/2

the gradient of the new line will be m=-2/3 then use the point (-3,-2) to find the equation of the line

y=mx+b

-2=(-2/3)(-3)+b

-2=2+b

b=0

y=-2/3x

Answer:

carretilla

Step-by-step explanation:

la carretilla se encontraba a unos 18 metros de altura

Answer:

yes

Step-by-step explanation:

Answer: 96

Step-by-step explanation:

Given

Verne has 5 math books to line up on a shelf

Jenny has 4 english books to line up on a shelf

No of ways Verne can arrange the books are [tex]5![/tex]

No of ways Jenny can arrange the books are [tex]4![/tex]

Difference between them

[tex]=5!-4!\\=120-24\\=96[/tex]

Thus, Verne can line up 96 more orders than Jenny

Answer:

[tex]x = \sqrt{32}[/tex]

Step-by-step explanation:

[tex]\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}[/tex]

Answer:

Step-by-step explanation:

Since this is a assignment, I'll give a hint.

To find the area of a trapezoid, it'ls h(b1*b2)/2.

The height is how long the trapezoid is from each base.

The bases are the lines parralel to each other.

Answer: 16590

Step-by-step explanation:

Let p be the population proportion of high school students in the area who attend their home basketball games.

As per given,

prior p = 0.5

Margin of error E= 0.01

Criticfor z-value for 99% confidence = 2.576

Sample size will be computed as

[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]

Hence, required sample size = 16590

Answer:

Step-by-step explanation:

the surface area = area of the 4 faces+ area of the 2 bases

4 *(15*8) + 2*( 8*6) = 480+96 = 576 cm²

if the length  of the faces tripled, the two bases remain unchanged because the prism just gets taller on the same bases.

Step-by-step explanation:

y = -x²+6x-5

x-intercept => y= 0

-x²+6x-5=0

x²-6x+5=0

(x-5) (x-1) =0

x= 5 or x=1

(1, 0) and (5, 0)

Answer:

[tex]P(81)=56.16[/tex]

Step-by-step explanation:

From the question we are told that:

Mean [tex]\mu=50[/tex]

Standard Deviation [tex]\sigma=7[/tex]

Percentile 81st

Generally Probability of 81st Percentile

 [tex]P(Z<x)=81\%[/tex]

Using Standard normal Table

 [tex]P(Z<0.88)=81\%[/tex]

Therefore the 81st percentile is given as

 [tex]P(81)=z*\sigma *\mu[/tex]

 [tex]P(81)=0.88*7*50[/tex]

 [tex]P(81)=56.16[/tex]

Answer:

She will need to pay $269.36 in interest if she lets the account go for 6 months and 1 day before paying the bill.

Step-by-step explanation:

Given that Amanda financed a new living room set at the furniture store for $ 2,700, and the store offered no interest for 6 months or 20 percent annually if the balance was not paid in full prior to the end of the interest free period, to determine how much interest will she need to pay if she lets the account go for 6 months and 1 day before paying the bill, the following calculation must be performed:

((2,700 x 0.2) / 365) x 182 = X

(540/365) x 182 = X

1.48 x 182 = X

269.36 = X

Therefore, she will need to pay $ 269.36 in interest if she lets the account go for 6 months and 1 day before paying the bill.

The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².

The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

Suppose that the radius of the considered right circular cylinder is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The volume of the given cylinder is,

Volume of the cylinder = (π/4) × (4cm)² × 16cm

                                      = 201.062 cm²

Hence, the volume of the given cylinder is 201.062 cm².

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Answer: [tex]5.7\ cm[/tex]

Step-by-step explanation:

Given

Rectangle has an area of [tex]19.38\ cm^2[/tex]

Suppose rectangle length and width are [tex]l[/tex] and [tex]w[/tex]

If each side is increased by [tex]1.50\ cm[/tex]

Area becomes [tex]A_2=35.28\ cm^2[/tex]

We can write

[tex]\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)[/tex]

Substitute the value of width from (ii) in equation (i)

[tex]\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7[/tex]

Width corresponding to these lengths

[tex]w=5.7,\ 3.4[/tex]

Therfore, we can write the length of the longer side is [tex]5.7\ cm[/tex]