Find the equation of the line.

Use exact numbers.

Answer:

Step-by-step explanation:

Let Chocolate=X, Brownie=Y
2X+3Y=9.50 (Eq 1)
X+2Y=6.00 (Eq 2)

Multiplying Eq 2 by 2            
2(X+2Y=6.00) (Eq 3)                  

Subtracting Eq 3 by Eq 1
2X+3Y=9.50
2X+4Y=12.00
0-Y= -2.5                              
Y=2.5

Putting Value of Y in Eq 2
X+2(2.5)=6.00
X+5=6
X=6-5
X=1

The probability that a sum is an even number will be 5/7.

So, the first 7 prime numbers:

Then,

By multiplying these two probabilities, we can determine the likelihood of an even sum.

Therefore, the probability that a sum is an even number will be 5/7.

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The volume of the box is 105 cubic units.

The amount of space inside a cuboid is calculated using the term "cuboid volume." Having length, breadth, and height, the cuboid is a three-dimensional shape. A shape with a certain length, breadth, and height will be obtained if we start with a rectangular sheet and keep stacking them. Length x Width x Height is the formula for calculating the cuboid's volume.

Given that : The dimensions of her boxes to be 4 x 6 x 3 units.

The volume of cuboid=7×5×3=105 cubic units.

so ,The volume of the box is 105 cubic units.

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Reason:

To shift down 2 units, we go from f(x) = (0.5)x to g(x) = (0.5)x - 2.

The -2 at the end means we subtract 2 from each y coordinate.

Compare this to g(x) = (0.5)x - k to find that k = 2.

Value of P(5) is 0.058 by probability.

What is a math illustration of probability?

Given that ,

p = 1 / 4 = 0.25

1 - p = 1 - 0.25 = 0.75

n = 10

Using binomial probability formula ,

P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x

(a) x = 5

P(X = 5) = ((10! / 5! (10 - 5)!) * 0.255 * (0.75)10 - 5

              =  ((10! / 5! (5)!) * 0.255 * (0.75)5

              =  0.058

P(5) = 0.058

(b)

P(X > 3) = 1 - P(X \leq 3)

= 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= 1 - 0.776

= 0.224

P(ore than 3) = 0.224

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The complete question is-

Take another guess: A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places Part 1 of2 (a) Find P(5) P(5)- Part 2 of2 (b) Find P(More than 3) P(More than 3)

The value of arithmetic progression of  p = 0 and q = 10

When there are identical differences between every two next words, the series is known as an arithmetic progression (AP). There is a chance to find a formula for the nth term of the AP using this kind of development. The series 2, 6, 10, 14, etc., for instance, is an example of an arithmetic progression (AP) because it follows a pattern in which each number is acquired by adding 4 to the preceding word.

Given that : -10,p,q,20 are in A.P

if this -10,p,q,20 are in A.P then it must follow

2b = a+ c

2p = -10 + q ... (i)

2q= p+20 ....(ii)

Solving both equation we get

Multiplying (1) with 2,

4p - 2q = -20

Now adding both the equations

4p - 2q + 2q - p = 0

3p = 0

p = 0

Then, q = 0 + 10 = 10

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Answer:

A.-0.15

1.52

7.17

8.38

8.75

14.15

The range of the function  f(x) = |x| − 4 is  {y | −4 ≤ y < ∞}.

Given the function is:  f(x) = |x| − 4

first find the domain of the function.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

domain= (−∞,∞)

Then, range is he set of all representations of domain elements or the set of all function outputs constitutes the range of the function f.

range = {y | −4 ≤ y < ∞}.

Hence we get the range of the function as {y | −4 ≤ y < ∞}.

.

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By using division, 2×[tex]10^{-6}[/tex] times 300 is equal to  6×[tex]10^{-4}[/tex]

Scientific notation is a form of writing a very larger number or very smaller number in a simpler form. The general form of the scientific notation is a number from 1 to 10 is multiplied by a power of 10.

Consider the unknown number as x

The first number = 2×[tex]10^{-6}[/tex]

The result of 2×[tex]10^{-6}[/tex] times x = 6×[tex]10^{-4}[/tex]

So the equation will be

2×[tex]10^{-6}[/tex] × x = 6×[tex]10^{-4}[/tex]

Move 2×[tex]10^{-6}[/tex] to the right hand side of the equation

x = 6×[tex]10^{-4}[/tex] ÷ 2×[tex]10^{-6}[/tex]

Here we have to use the division

x = 300

Hence, by using division, 2×[tex]10^{-6}[/tex] times 300 is equal to  6×[tex]10^{-4}[/tex]

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The ascending order of the given numbers is  2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

The first number = 0.24

The second number = 4×[tex]10^{-2}[/tex]

The second number is the form of scientific notation. To compare the numbers, all the numbers should be in same form. So we have to convert the scientific notation to the decimal form

4×[tex]10^{-2}[/tex] = 0.04

The third number = 0.042

Third number is decimal form

The fourth number = 2×[tex]10^{-4}[/tex]

Convert the scientific notation to the decimal form

2×[tex]10^{-4}[/tex] = 0.0002

The fifth number = 0.004

The order of the numbers from least to greatest

= 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

Hence, the order of the given numbers from least to greatest is 2×[tex]10^{-4}[/tex] <0.004< 4×[tex]10^{-2}[/tex] < 0.042 < 0.24

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In linear equations, 18.816 is the cost of 2 2/5 pounds of salmon.

What are instances of linear equations?

grocery store sells salmon = $7.84 per pound

the cost of 2 2/5 pounds of salmon = [tex]2\frac{2}{5}[/tex]  × 7.84

the cost of 2 2/5 pounds of salmon =  12/5  * 7.84

the cost of 2 2/5 pounds of salmon =   12 * 1.568

the cost of 2 2/5 pounds of salmon =   18.816

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Answer:

Scientific form = 3.001 X 10^5

Expanded Form = 300100

Step-by-step explanation:

Answer:315.105

Step-by-step explanation:3.001

                                          x105

                                       -----------

                                        315.105

The total change to Rapunzel's score as an integer is (x - 30), where x is the initial score.

How can linear addition and subtraction be carried out?
In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation. It is one of the fundamental mathematical operations we employ on a daily basis.
An arithmetic operation called subtraction simulates the process of deleting items from a collection. The negative symbol, or, denotes subtraction.

Let the initial score of Rapunzel be = x
Given, she first lost nine points thrice and then three points, thus her score is: x - (9*3) - 3 = (x - 30) points.
Thus, the total change to her score is (x-30) points.

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The number of ounces necessary when 11 dinner guests want salad is 104 ounces.

It should be noted that 1 cup = 8 ounces. Therefore, 2.1 cups will be:

= 2.1 × 8 = 16.8 ounces.

The recipe calls for 2.1 cups of lettuce per person and 0.56 ounces of salad dressing per cup of lettuce.

Therefore, if 11 dinner guests want salad, the number of ounces of dressing that will be necessary will be:

= 16.8 × 0.56 × 11

= 104

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Answer:

<1 = 150 degrees

<2 = 150 degrees

Step-by-step explanation:

Angle 1 and the 150 degree angle are equal. The reason is because they are on the same side of the transversal (the slanted line) and they are both above the parallel line that makes the up. They are called corresponding angles.

Angle 2 and angle 1 are equal because they are opposite each other. The term used in math is vertically opposite.

Hello !

Answer:

[tex]\Large\boxed{\sf Slope\ =0}[/tex]

Step-by-step explanation:

Considering two points [tex]\sf A(x_A, y_A)[/tex] and [tex]\sf B(x_B, y_B)[/tex], the slope of the line that passes through A and B is given by [tex]\sf m=\frac{y_B-y_A}{x_B-x_A}[/tex].

Given :

Now we can calculate the slope with the previous formula :

[tex]\sf m=\frac{-3-(-3)}{4-(-2)}[/tex]

[tex]\sf m=\frac{0}{6}[/tex]

[tex]\boxed{\sf m=0}[/tex]

The slope of the line is 0.

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Have a nice day

Answer:

the answer is x=19 writing more bc I need more characters

Answer:

k=40

Step-by-step explanation:

Answer : Each week the amount goes up by $40

Answer:

The measure of BXD is 45°.

Step-by-step explanation:

[tex]x + 20 + x + 30 = 95 - x[/tex]

[tex]2x + 50 = 95 - x[/tex]

[tex]3x + 50 = 95[/tex]

[tex]3x = 45[/tex]

[tex]x = 15[/tex]

So the measure of angle BXD is 15 + 30, or 45°.

Answer:

k = -5

Step-by-step explanation:

Slope of a line is given by

[tex]\dfrac{y_2 - y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are two points on the line

This is commonly referred to as rise/run

Given two points(0, k) and (1,4) and told that the slope is 9 we get

[tex]9 = \dfrac{4-k}{1-0}\\\\9 = \dfrac{4-k}{1}\\\\9 = 4 -k\\\\\text{Subtract 5 from both sides to get }\\9 - 4 = 4 - 4 - k\\\\5 = -k\\\\ k = - 5\\\\[/tex]

Each person pays $79 each month.

A bill for $1,896 is paid in 12 monthly installments.

the same amount must be paid each month.

for, per month installment to be paid equals $1,896/12= $ 158

also given that, each installment will be divided equally between two people, then,

each installment for one person is equal to $ 158 /2=$79

so, $79 each person pays each month.

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The mean and standard deviation for the number of correct answers for such students is; μ = 6.5 and σ = 1.802776

Given there is a surprise​ true/false test with 13​ questions.

Thus, the probability of correctly guessing the answer is; p=0.5

Let "X' be the answers correctly guess by a student.

The formula for the binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

A) The mean of the binomial distribution is given by the formula;

μ = np

μ = 13 * 0.5

μ = 6.5

The formula for standard deviation is:

σ = √(np(1 - p))

σ = √(13 * 0.5(1 - 0.5))

σ = 1.802776

B) The probability that the student getting at least 11 correct​answers is given by:

P(X ≥ 11) = P(X = 11) + P(X = 12) + P(X = 13)

Using online binomial probability calculator, we have;

P(X ≥ 11) = 0.01123

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Complete question is;

Several psychology students are unprepared for a surprise​true/false test with 13 ​questions, and all of their answers are guesses.

a. Find the mean and standard deviation for the number of correct answers for such students.

b. Would it be unusual for a student to pass by guessing​ (which requires getting at least 11 correct​ answers)? Why or why​not?

C. The image shows two right triangles with one pair of congruent leg and congruent hypotenuse. Therefore, the congruence is HL.

D. This shows two right triangles that share one side (a leg) and have the other leg also congruent to each other. Therefore, their congruence is LL and SAS (leg, right angle, leg).

E. This shows two triangles with a pair of congruent sides, a pair of congruent angles, and they have a common side, therefore congruent since they are the same.

So, their congruence is SAS.

F. This shows two right triangles sharing the same hypotenuse, and with a pair of congruent angles. Therefore, their congruence is HA.

G. This shows two right triangles with congruent hypotenuses, one congruent pair of legs, and two congruent pairs of angles (if we include the right angle).

So, their congruence is HA and HL.

H. The two triangles here have a right angle, a pair of congruent sides, and a pair of angles that are opposite by vertex, so they are also congruent angles.

Therefore, their congruence is ASA.

Answer:

N/A

Step-by-step explanation:

which question of the three do you need the answer for?

The equation of the line that passes through the points (-3,9) and (9,-1) is  y= -5x/6 + 39/6 .

The equation of line passing through two points (a,b) and (c,d) is given by the equation

(y-b)=m(x-a) ,

where m is the slope of the line ..

the slope m is (d-b)/(c-a)

In the question ,

it is given that

the required line passes through the points (-3,9) and (9,-1)

by formula m= (-1-9)/9-(-3)

= -10/12

So substituting the values in the formula the equation of the line becomes

y-9 = -10/12*(x-(-3))

12*(y-9) = -10*(x+3)

12y - 12*9 = -10x-30

12y-108= -10x -30

12y = -10x-30+108

12y = -10x + 78

On Dividing both sides by 12 , we get

y= -10x/12 + 78/12

y= -5x/6 + 39/6

Therefore , the equation of the line in slope intercept form that passes through the points (-3,9) and (9,-1) is y= -5x/6 + 39/6 .

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Answer:

A

[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p} (m + n - 1)}}[/tex]

Answer:

yh it's A the other guy's right

Step-by-step explanation:

Answer:

10 - 2 y

Step-by-step explanation: