Solve for y. 10.9y − 17.78 = 7.2y + 1.9y − 14.36

Answer: The probability that less than 4 of the 7 adults need correction for their eyesight is approximately 0.1637.

Step-by-step explanation:

This problem can be solved using the binomial distribution, which models the probability of a certain number of successes in a fixed number of independent trials, each with the same probability of success.

Let X be the number of adults among the 7 randomly selected who need correction for their eyesight. Then X follows a binomial distribution with parameters n = 7 (the number of trials) and p = 0.7 (the probability of success in each trial).

We want to obtain  the probability that less than 4 of the 7 adults need correction for their eyesight. This can be written as:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

To calculate each of these individual probabilities, we can use the formula for the binomial probability mass function:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Using this formula, we can calculate each of the probabilities:

P(X = 0) = (7 choose 0) * 0.7^0 * 0.3^7 = 0.0002

P(X = 1) = (7 choose 1) * 0.7^1 * 0.3^6 = 0.0032

P(X = 2) = (7 choose 2) * 0.7^2 * 0.3^5 = 0.0292

P(X = 3) = (7 choose 3) * 0.7^3 * 0.3^4 = 0.1311

Summing these probabilities, we get:

P(X < 4) = 0.0002 + 0.0032 + 0.0292 + 0.1311 = 0.1637

Therefore, the probability that less than 4 of the 7 adults need correction for their eyesight is approximately 0.1637.

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Answer:

We know

sin (A + B) = sin A cos B + cos A sin B

sin (A - B) = sin A cos B - cos A sin B

(A + B) + sin (A - B)

= sin A cos B + cos A sin B + sin A cos B - cos A sin B

= sin A cos B + sin A cos B

= 2 sin A cos B

Answer:

2.25 or 2 1/4

Step-by-step explanation:

20 1/4 divided by 9 is 2 1/4 :)

Answer:

2.25 lbs each

Step-by-step explanation:

you do 20.25 divided by 9 which gives you an answer of 2.25 lbs or 2 1/4 lbs.

hope this helped

Yes, every vector in R4 can be written as a linear combination of the columns of the matrix B.

A linear combination of the columns of B can be written as:

B = a1C1 + a2C2 + a3C3 + a4C4

Where C1, C2, C3, and C4 are the columns of the matrix B and a1, a2, a3, and a4 are scalar values.

The columns of B do not span R3, since they are all four-dimensional vectors, but they span R4 since they are linearly independent. Furthermore, the columns of B form a basis for R4, since they span the whole space and are linearly independent.

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6. The number of times the full address is written in one minute is the dependent variable. 7. The time in minutes is the independent variable. 8. The relationship between the dependent variable and the independent variable is that the number of times the full address is written is dependent on the amount of time given to write it.

Based on the information provided:
6. The dependent variable is the number of times you can write your full address in a minute.
7. The independent variable is the time (in minutes).
8. The relationship between the dependent variable and the independent variable is that as the time (independent variable) increases, the number of times you can write your full address (dependent variable) also increases.

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Answer:

130

Step-by-step explanation:

Supplementary angles are angles that are equal to 180 degree so if one is 50 degrees then the other must be added to it and get 180

180= 50 + ∠4​

-50     -50

130=∠4​

Answer:

Just be yourself

Step-by-step explanation:

Answer:

it a because digkjg

Step-by-step explanation:

1 goes to 2 adnd it stops like that

Answer:

$2.20

Step-by-step explanation:

The tip is 10% of $22, or 0.1 * 22 = 2.2

So $2.20 (we can add a hidden 0 on the end)

The angle D in ADC  of the trapezium ABCD is 61.93 degrees.

Since ABCD is a trapezium with right angles at B and C, we can draw perpendiculars from A and D to BC:

Let h be the height of the trapezium and let E and F be the feet of the perpendiculars from A and D to BC, respectively.

The area of the trapezium is given by the formula:

A = 1/2 × (AB + DC) × h

Substituting the given values, we get:

34 = 1/2 × (5 + 12) × h

= 8.5h

h = 4

Now, we can use the Pythagorean theorem in the right triangles ABE and DCF to find the lengths of AE and DF, respectively:

AE² = AB² - BE² = 5² - h² = 25 - 16 = 9

AE = 3

DF² = DC² - CF² = 12² - h² = 144 - 16 = 128

DF = √128 = 8√2

Finally, we can use the sine rule in the triangle ADC to find angle D:

sin(D) = DF/AC

AC = AE + EC = 5 + CF

CF = DC - BC = 12 - 5 = 7

AC = 5 + 7 = 12

sin(D) = 8√2/12

D = sin⁻¹(8√2/12) = 61.93° (rounded to two decimal places)

Therefore, angle D in ADC is 61.93 degrees.

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Answer:

(-7,4)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

Equation: y = -1.25x - 3.

This question is solved using translation concepts, and doing this, it is found that the equation of the new graph is:

\(y = |x - 3|\)

--------------------------

When a function f(x) is translated a units to the left, we get f(x - a).

--------------------------

In this question:

The original function is \(y = |x|\)

Point (1,1) is moved to (4,1), that is, 3 is added to the x-coordinate, meaning that the function was shifted 3 units to the left.

Thus, the new equation is:

\(y = g(x) = f(x - 3) = |x - 3|\)

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The answer is 11 luv!  hope this helped you out!!

Answer:

-7

Step-by-step explanation:

|2(-3)| = |-6| = 6

|-3| = 3

(3 - 4 * 6) / 3 = -21 / 3 = -7

Answer:

no solution

Step-by-step explanation:

h - 4h + 10 = - 3h , that is

- 3h + 10 = - 3h ( subtract 10 from both sides )

- 3h = - 3h - 10 ( add 3h to both sides )

0 = - 10 ← false statement

this false statement indicates the equation has no solution

The inverse of a function can be found by swapping the numbers in each ordered pair of the function.

When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.

To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.

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Answer:

D.

Step-by-step explanation:

The line will be a straight line and will go through AB in the center. Therefore, it will be the perpendicular bisector.

The unit price for the apples is $1.5 per pound. The statement is true.

Now, According to the question:

How to calculate the Unit rate of the cost per pound?

8 pounds of Apple costs $12

The unit rate is

8= 12

1= x

We can write, by cross - multiply

8x = 12

x= 12/8

x= 1.5

Hence, the unit rate of the cost per pound is $1.5

And,  5 pounds of apples cost $7.50

cross multiply,

5× 12/8

60/8 = 7.50

5 pounds of apples = 7.50

Hence, The unit price for the apples is $1.5 per pound. The statement is true.

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Answer:

-18

Step-by-step explanation:

so substitution is the answer! (not literally the answer though lol)

y = 4(3)(-2) - 3 (-2)

y = 4(-6) + 6

y = -24 + 6

y = -18

Answer:

y=-18

Step-by-step explanation:

y=4uv-3v

y= 4(3)(-2)-3(-2)

12(-2)+6

-24+6

y=-18

The equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4) is y = - 1 / 4 x + 2 (y equals negative one-fourth times x plus 2)

The equation of the line is perpendicular to y = 4x + 8 and passes through (-8, 4).

Therefore, the equation of a line can be represented as follows;

y = mx + b

where

Therefore, perpendicular lines follows the rule below:

m₁ m₂ = -1

4m₂ = -1

m₂ = - 1 / 4

Hence, let's find the y -intercept using (-8, 4)

y = - 1 / 4 x + b

4 = - 1 / 4 (-8) + b

4 = 2 + b

b = 4 - 2

b = 2

Therefore, the equation is y = - 1 / 4 x + 2

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Answer: D.) y = 4x + 4

Step-by-step explanation:

just did the assignment

Answer:

\( \frac{ log_{2}(11) }{3} \)

Step-by-step explanation:

\(3x = log_{2}(11) \)\(

x = \frac{ log_{2}(11) }{3} \)

Answer:

4x^2 + 2x -2

Step-by-step explanation:

4x^2 + 4x - 2x - 2

4x^2 + 2x -2

The height of the tree is approximately 152.5 feet when rounded to the nearest tenth.

To find the altitude of the tree, we can use trigonometry. The tangent function relates the angle of elevation to the height and distance.

Let's denote the height of the tree as 'h' (in feet). The distance from the point on the ground to the tree is given as 68 feet. The tangent of the angle of elevation (66 degrees) is equal to the height of the tree divided by the distance to the tree.

Using the tangent function:

tan(66°) = h / 68

To find 'h', we can reconstruct the equation:

h = tan(66°) * 68

Using a experimental calculator or trigonometric table, we find that tan(66°) ≈ 2.243

Plugging this value into the equation:

h ≈ 2.243 * 68

h ≈ 152.524

Therefore, the height of the tree is approximately 152.5 feet when rounded to the nearest tenth.

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The answer fam is............  A. Hundreds

The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have:

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.

She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house

The rate = 10 miles/hour

Father's scooter rate = 15 miles/hour

Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.

Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

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Answer:

cool

Step-by-step explanation:

Answer:

32/3 = 10 2/3

Step-by-step explanation:

The required 3 activities that illustrate as slope are rise and run ,   equation , uphill or  downhill.

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given:

The given statement is

List at least 3 activities that illustrate as slope.

According to given question we have

The 3 activities that illustrate as slope are :

1)  The slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, to choose any 2 points along the graph of the line to figure out the slope.

2) The slope of a line can sometimes be quickly determined from its equation. Let’s consider the line whose equation is y = 5x. We  can create a table of values to find 3 points on the line.

3) The slope of a line considered lines that run “uphill” or “downhill.” Their slopes may be steep or gradual, but they are always positive or negative numbers. But there are two other kinds of lines, horizontal and vertical.

Therefore, the required 3 activities that illustrate as slope are rise and run ,   equation , uphill or  downhill.

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