Solve.

32.3 = 14.8 + 8.4x

Enter your answer as a mixed number in simplest form in the box

The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,

\(\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}\)

Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.

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Answer:

A. The E indicates that the solution is given in scientific notation.

B. The coefficient is 3.5211.

D. The solution can be written in scientific notation as 3.5211 × 10^-10

Step-by-step explanation:

Edge 2023

Area of rectangle = length×breadth

Answer:

Only LOKI is correct

Step-by-step explanation:

Elektra multiplied 8 with the inside parenthesis but it was wrong to do.

Green Goblin took 2x outside with negative sign but that is wrong

Morbius did the same mistake as Green Goblin at first step but then corrected it in the second step, still it's wrong

Answer:

The answer to your question is -2/4

Step-by-step explanation:

y2-y1

x2-x1

He bought a total of 300 pens and pencils and spend $62.50.

Each pen cost $0.25 and each pencil cost $0.15.

Lets call x the number of pens and y the number of pencils.

Then, as the sum of x and y is 300, we can write:

The total cost is $62.50, which is the result of adding each individual cost: the price multiplied by the quantity.

Then, we can write:

We use the information of the first equation to define y in function of x and replace in the second equation:

Knowing x, we can calculate y:

He bought 125 pencils and 175 pens.

Answer: A. 175

Answer:

???

Step-by-step explanation:

It takes 9 hours for the car to travel 612 miles at an average speed of 68 miles per hour.

To find the time it takes for the car to travel 612 miles at an average speed of 68 miles per hour, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 612 miles ÷ 68 miles per hour

Therefore, the time it would take the car to travel 612 miles is: Time = 612 miles / 68 miles per hour Time = 9 hours.  So, it would take the car approximately 9 hours to travel a distance of 612 miles if it maintains an average speed of 68 miles per hour.

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The number of students who attended the art festival was 70. let's assume the number of faculty members who attended the festival is F, and the number of students who attended is S. We are given that the total number of people who attended is 110, so we can write the equation F + S = 110.

We are also given that the standard donation for faculty members is $5, and the standard donation for students is $2. The total amount raised from the donations is $340. We can write another equation based on the total donation amount: 5F + 2S = 340.

Now we can solve these two equations simultaneously to find the values of F and S. By solving the equations, we find that F = 40 and S = 70. Therefore, 70 students attended the art festival.

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Answer:

- x² + 7x + 13

Step-by-step explanation:

a parabola in standard form id expressed as

ax² + bx + c ( a≠ 0 )

given

(x + 1)² - (2x + 3)(x - 4) ← expand factors using FOIL

= x² + 2x + 1 - (2x² - 5x - 12) ← distribute parenthesis by - 1

= x² + 2x + 1 - 2x² + 5x + 12 ← collect like terms

= - x² + 7x + 13 ← in standard form

Answer:

Step-by-step explanation:

{m}, {a} , {t} ,{h} ,{m,a}, {m,t} ,{m,h} ,{a,t} ,{a,h} ,{t,h} ,{m,a,t} ,{m,a,h} ,{m,t,h} ,{a,t,h} ,{ m,a,t,h} , {} are the subsets of the given question.

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The square garden in the above picture is divided into 9 rectangles, dimensions of which is specified in meters. The value of x is 3/2 = 1.5 metres.

We have a diagram representing a square garden whose length in meters is divided into 9 rectangles. There is shaded areas for peas and unshaded areas for tomatoes. Now look at the second picture present above and try to recalculate the dimensions of the entire rectangle. From the above picture,

Side length of a square, s = 9 m

The length of each in three rectangles ( two shaded and one unshaded) out of 9, say L₁ = 3 m

Width of each of these rectangles, w₁ = 3 m

Length of each of the three rectangles (two unshaded and one shaded) out of 9, L₂ = (6- x ) m

width of each of these rectangles, w₂= 3 m

Similarly, The length of each in three rectangles ( two shaded and one unshaded) out of 9, say L₃ = 3 m

Width of each of these rectangles, w₃= x m

Total Shaded Rectangles = 5

Number of Unshaded Rectangles = 4 Now, the sum of the shaded areas of the square garden equals the sum of the unshaded areas. Substitute all known values, 2(3×x) + 2( 3×3 ) + 3×(6 - x) = 2(3( 6-x) ) + 3×x + 3×3 (because, area of rectangle= L×W)

= 6x + 18 + 18 - 3x = 36 - 6x + 3x + 9

= 3x + 3x = 45 - 36

=> 6x = 9

=> x = 9/6 = 3/ 2 m

Therefore the desired value of x is (3/2) m.

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Complete question:

The image above represents a square garden divided into 9 rectangular shapes and measured in meters. Plant peas in the shade and tomatoes in areas where there is no shade. What is the value of x if the number of peas-grown fields is equal to the tomato-grown fields?

Answer:

Step-by-step explanation:

Given roots:

Polynomial with same roots will have factors of:

So correct choices are:

(-1/5, 37/70) are the coordinates of a point 7/10 of the way between A and B.

Let P be the point 7/10 of the way from A to B. This implies that it partitions P in the 7:10 ratio (AP/PB = 7/10).

Should use section formula to find the coordinates, which is given as:

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Where,

(x₁, y₁) = A(-4, -7)

(x₂, y₂) = B(11, 5)

m = 7 and n = 10.

Put the values to obtain the x and y coordinates of point P.

y = (7×5 + 10(-7))/(7 +10)

On solving;

y = -1/2

Solve for x coordinates;

x = (7(11) + 10(-4))/(7 +10)

on solving;

x = 37/70

Therefore, the coordinates of a point 7/10 a way from A and B is (-1/5, 37/70).

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Answer:

Domain- {-2,2}

Range-{-3,2}

Step-by-step explanation:

Find each boundary of the line and make the corresponding points because its a continuous line.

Answer:

4j8rd⁸8xud4 ex fiiu8rftsuf

The algebraic rule for each kind of rotation is completed below and a 360° rotation would appear as if the shape didn't rotate at all.

As a general rule of rotation, the algebraic rule for each kind of rotation are

Rotation Algebraic rule

90° clockwise about the origin (x, y)→ (y, -x)

180° about the origin (x, y) → (-x, -y)

270° clockwise about the origin (x, y) → (-y, x)

The images of the triangles cannot be drawn because they are not given

A 360° rotation about the origin would result in the original shape returning to its starting position.

It would appear as if the shape didn't rotate at all.

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Answer:

77$

Step-by-step explanation:

Answer:

4.3465812e+16

Step-by-step explanation:

Given:

Function 1 is given in the graph.

Function 2 is,

To find:

The function has a larger maximum value.

Explanation:

From the graph,

We know that the maximum value of the function is the highest point of the function.

For the function 1, the maximum value is 1 at x = 4.

For the function 2,

Differentiating with respect to x, we get

Equate it with zero, and we get

Substituting x = 1 in function 2.

So, the maximum value is -14 at x = 1.

Then, comparing functions 1 and 2 we get,

Function 1 has the larger maximum value at (4, 1).

Final answer:

Function 1 has the larger maximum value at (4, 1).

Answer:

Third option is the correct answer

\(y = -(2)x+ 3\)

Step-by-step explanation:

Given functions are:

\(y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3\)

To find:

The function which has a range \(y <3\) ?

Solution:

First of all, let us learn about the terms Domain and Range for a function:

\(y = f(x)\)

Domain is the value of \(x\) which is given as input to the function and gives a valid value of output as \(y\) (i.e. function is defined).

Range of a function is the value \(y\) that comes as output when given a valid value of \(x\) as input.

Now, let us consider the given options above.

Third option is the correct answer.

\(y = -(2)x+ 3\)

As we can see, \((2)x\) is subtracted from 3 so \(y\) will have a value which is lesser than 3.

i.e. range will be \(y <3\).

No other function has such condition present in it.

\(y = -(2)x+ 3\) is the correct answer.

Answer N=10

Hope this helps

Answer:

z y                                      x

Step-by-step explanation:

i dk

Answer:

X, Z, Y

Step-by-step explanation:

We can use the theorem that "opposite to the smallest angle lies the shortest side."

\(180 - 47 - 35 = 98\)

Against the angle with 98 degrees, the biggest angle, lies the longest side, y.

Against the angle with 35 degrees, the smallest angle, lies the shortest side, x.

So, we have the order:

x, z, y

To find the length of side a in triangle ABC, we can use the law of sines:

a/sin(A) = b/sin(B)

We know that m∠A = 40, b = 8, and m∠C = 115. We can find m∠B by using the fact that the sum of the angles in a triangle is 180 degrees:

m∠A + m∠B + m∠C = 180

40 + m∠B + 115 = 180

m∠B = 25

Now we can plug in the values we know into the law of sines and solve for a:

a/sin(40) = 8/sin(25)

a = sin(40) * 8 / sin(25)

a ≈ 11.3 (rounded to the nearest tenth)

Therefore, the length of side a in triangle ABC is approximately 11.3 units, which corresponds to answer option G.

\(\huge\text{Answer:}\)

\(\huge\mathrm{3.4}\checkmark\)

\(\huge\text{Solution:}\)

4.2 less than 7.6 means we subtract 4.2 from 7.6:

7.6-4.2

Subtract:

3.4 (Answer)

Hope you find it helpful.

Feel free to ask if you have any doubts.

\(\bold{-MistySparkles^**^*}\)

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The probability of at least 143 commuting from a random sample of 550 students is 0.9796 or 97.96%

Probability of students who commute to school p = 0.30

Number of students n = 550

Using normal distribution approximation to the binomial distribution:

Mean µ = np = 550*0.30 = 165

Standard deviation σ = √np(1 -p) = √550*0.30(1 – 0.3) = 10.75

The require probability is P(X > 143)

Finding the z score of X,

z = (X - µ)/σ

z = (143 - 165)/10.75

z = -2.0465

Hence,

P(X > 143) = P(z > -2.0465) = 1 – P(z ≤ - 2.0465)

From the table,

P(z ≤ - 2.0465) = 0.020354

Hence,

P(X > 143) = 1 – 0.020354 = 0.979

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Answer:

You do not need to get right just get one wrong and it will say demo, then keep doing that.

Step-by-step explanation:

Answer:

A

Step-by-step explanation: