Triangle PQR with vertices P(-2, 3), Q(2, 4),
and R(1, -1) in the line x = -3.

Answer:

The answer is "4.8, 3.84, and 1.96".

Step-by-step explanation:

Given:

[tex]\to p = 0.2\\\\\to q = 1 - p = 1 - 0.2 = 0.8\\\\\to n = 24\\\\[/tex]

By using the binomial distribution:

[tex]\to Mean(\mu) = n \times p = 24 \times 0.2 = 4.8\\\\\to variance (\sigma^2) = n \times p \times q = 24 \times 0.2 \times 0.8 = 3.84\\\\\to Standard \ deviation (\sigma) = \sqrt{n \times p \times q} = \sqrt{24 \times 0.2 \times 0.8} = 1.96[/tex]

Answer:

48 cups of sauce

Step-by-step explanation:

You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce

Hope that helped

Answer:

[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

[tex]x = \frac{4}{5}[/tex]

Required

Find y

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

Substitute [tex]x = \frac{4}{5}[/tex]

[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]

[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]

Collect like terms

[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]

[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]

Split the surd

[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]

Rationalize

[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]

Take LCM and add

[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]

[tex]y = \frac{2\sqrt5+6}{5}}[/tex]

or solve as:

[tex]y = \frac{2*2.24+6}{5}}[/tex]

[tex]y = \frac{10.48}{5}[/tex]

[tex]y = 2.096[/tex]

Answer:

B

Step-by-step explanation:

3/8 + 2/8 = 5/8

Answer:

14/3 or 4.6

Step-by-step explanation:

you would do 3.5 divided by .75 (=^w^=)

Answer: 172

Step-by-step explanation:

Hello!

This problem is about relating parallel and perpendicular lines with a given point.

What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.

Using this information, let's look at the first part.

We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].

Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.

[tex]y=6x+b[/tex]

[tex]-3=6(4)+b[/tex]

[tex]b=-27[/tex]

So the line would be [tex]y=6x-27[/tex].

Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.

We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.

[tex]y=-\frac{1}{6}x+b[/tex]

[tex]-3=-\frac{1}{6}(4)+b[/tex]

[tex]b=-\frac{7}{3}[/tex]

So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].

Hope this helps!

[tex]\frac{3x+2+5(x-6)}{x^{2} -36}=\frac{8x-28}{(x+6)(x-6)}[/tex]

answer ;

( refer the attachment for division )

Answer:

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

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.

Standard deviation of 1 minute.

This means that [tex]\sigma = 1[/tex]

Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.?

This is the pvalue of Z for X. So

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

[tex]Z = \frac{X - \mu}{1}[/tex]

[tex]Z = X - \mu[/tex]

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

Answer:

False

Step-by-step explanation:

In a rhombus, the diagonals are always perpendicular.

Answer: B

Step-by-step explanation: i looked it up ans it said b how this helps :>

Answer:

9

Step-by-step explanation:

20-11=9

☁️ Answer ☁️

9

Take 11 away from 20

Have a nice day noona/hyung.

Answer:

30 or 60 both work

Step-by-step explanation:

please make me branlest

Answer:

132 yards

because its a hexagon so all sides are the same, meaning you do 22×6 = 132

Answer:

it is

Step-by-step explanation:

Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract

Step-by-step explanation:

The equivalent expression will be b⁵.

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.

Given an expression b¹⁰/b⁵,

We need to find an equivalent expression for the same,

So,

Using the identity,

mᵃ ÷ mᵇ = mᵃ ÷ mᵇ

= m⁽ᵃ⁻ᵇ⁾

Therefore,

b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾

= b⁵

Hence, the equivalent expression will be b⁵.

Learn more about expression click;

https://brainly.com/question/14083225

#SPJ2

Answer:

156 is the tax

Step-by-step explanation:

2600 x .06 = 156

Answer:

−12+6

Step-by-step explanation:

Answer:

1507.96

Step-by-step explanation:

Answer:

<g = 129°

alternate interior angles

Step-by-step explanation:

hope this helps! :)

G is 129°

Angles g and f are vertical angles.

the image is to show why :)

Answer:

A

Step-by-step explanation:

Answer:

V = 2832 m3 only if that 1 2 is a 12 if that is not a 12 it is wrong

Step-by-step explanation:

Hi, you've asked an incomplete question. The full question reads;

Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?

a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.

b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.  

c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Answer:

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Step-by-step explanation:

Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).

Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).

Answer:

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to the exterior angle that is supplementary to the third interior angle

for first triangle

90 + 53 = u

143 = u

for the other triangle

102 + x = 4x + 6

102 = 4x + 6 - x

102 = 3x + 6 subtract 6 from both sides

96 = 3x divide both sides by 3

32 = x

Answer:

1) 2+(3)=5

2) 5=5 is true

3) 1=-(2)+3

4) 1=1 is true

Step-by-step explanation: