4 3/4 + 1 1/5 Help me its for homework and i dont understand

the equation is y=6x+8.

When x=-3, we have

Therefore, when x=-3, y =-10

a. The probability that a student scored below 91 on this exam is 0.9878

b. The probability that a student scored between 65 and 89 is 0.8186.

c. A grade of 68 on the second exam is better than a grade of 81 on the first exam for the given conditions

a. To find the probability that a student scored below 91 on the exam, we need to find the area under the normal distribution curve to the left of 91. Using a standard normal distribution table or calculator, we can find the corresponding Z-score as:

Z = (91 - 73) / 8 = 2.25

The probability of scoring below 91 is then the same as the probability of a standard normal random variable being less than 2.25, which is approximately 0.9878.

b. To find the probability that a student scored between 65 and 89, we need to find the area under the normal distribution curve between these two values. Using the Z-score formula as above, we find:

Z1 = (65 - 73) / 8 = -1.00

Z2 = (89 - 73) / 8 = 2.00

Using a standard normal distribution table or calculator, we can find the probability of a standard normal random variable being between -1.00 and 2.00, which is approximately 0.8186.

c. To determine if a grade of 81 on this exam or a grade of 68 on a different exam is better if the professor grades on a curve, we need to find the Z-score that corresponds to the top 10% of the class. Using a standard normal distribution table or calculator, we can find this Z-score as:

Z = 1.28 (approximately)

For the first exam, the Z-score corresponding to a grade of 81 is:

Z = (81 - 73) / 8 = 1.00

Since 1.00 < 1.28, a grade of 81 is not in the top 10% of the class. For the second exam, the Z-score corresponding to a grade of 68 is:

Z = (68 - 62) / 3 = 2.00

Since 2.00 > 1.28, a grade of 68 is in the top 10% of the class. Therefore, if the professor grades on a curve, a grade of 68 on the second exam is better than a grade of 81 on the first exam.

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Answer:

hope it helps u

hope this is what u want

9514 1404 393

Answer:

  x = 9 or 25

Step-by-step explanation:

Taking antilogs and solving the quadratic, you have ...

  \(\dfrac{(x+15)^2}{x}=2^6\\\\x^2 +30x +225 = 64x\qquad\text{multiply by x}\\\\x^2 -34x +225 = 0\qquad\text{subtract $64x$}\\\\(x -25)(x -9)=0\qquad\text{factor}\\\\\boxed{x=25\quad\text{or}\quad x=9} \qquad\text{values that make the factors 0}\)

The the probability of being dealt no hearts is 0.75 and probability of being dealt at least one heart is 0.25 .

Total number of cards = 52

A : the probability of being dealt no hearts

B: the probability of being dealt with hearts

P( A ) = 1 - P( B)

= 1 - 13/52

= 1 -0.25

=0.75

C : probability of being dealt at least one heart

P(C) = 13C1 / 52C1

= 13 / 52

=0.25

Probability is a way to tell or calculate the possibility of an event to occur. Using it, we can make predictions about the likelihood of an event happening, or how likely it is , it helps to make predictions more clear .

The probability can be between 0 and 1 here , P being 0 means a failure and P being 1 means a success.

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The value of the variable "x" is 11.

We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".

The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.

∠LMK + ∠LMN = 180°

∠LMK + (7x + 5)° = 180°

∠LMK = 180° - (7x + 5)°

In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠K + ∠L + ∠M = 180°

(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°

3x +19 + 2x + 8 + 180 - 7x - 5 = 180

-2x + 22 = 0

2x = 22

x = 11

Hence, the value of the variable "x" is 11.

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Answer:

true

Step-by-step explanation:

The statement is true

Basically we take variables as alphabets eg. :- a , b , c

Answer:

coefficient of the term of degree 4 in this polynomial is 3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

40 x 11 = 440

440 x 4 = 1760

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

y = 10x + 5 is the required equation.

Explanation:

A family of two to go to state fair is $25

A family of six to go to state fair is $65

So the 2 points are (2,25) and (6,65)

Rate of change = (y2-y1)/ (x2-x1)

 Plugin the values, we will get,

                          = (65 - 25)/ (6-2)= 40/4 = 10

Equation can be written as,

(y - y₁) / (y₂ - y₁) = (x-x₁)/(x₂-x₁)

(y-25)/(65-25) = (x-2)/(6-2)

(y-25)/ 40 = (x-2) / 4

4(y-25) = 40(x-2)

4y - 100 = 40x - 80

4y = 40x - 80 + 100

4y = 40x + 20

Dividing the equation by 4, we will get,

y = 10x + 5 is the equation required.

Answer:

25 =84b h +43

Answer:

speed = distance / time

17 miles in 2 minutes ....17/2 = 8.5 miles per minute

26 miles in 4 minutes.....26/4 = 6.5 miles per minute

33 miles in 6 minutes.....33/6 = 5.5 miles per minute

60 miles in 8 minutes.....60/8 = 7.5 miles per minute

slowest to fastest :  

(1) 33 miles in 6 minutes

(2) 26 miles in 4 minutes

(3) 60 miles in 8 minutes

(4) 17 miles in 2 minutes

I believe that is answer C

Step-by-step explanation:

Given:

Graphing:

green line is y = x + 4

blue line is y = x^4

The solutions are:

(-1.28, 2.72) and (1.53, 5.53)

Answer: (-1.28, 2.72) and (1.53, 5.53)

Answer:

degree 10

Step-by-step explanation:

The degree of the monomial is the sum of the exponents of the variables, so

4\(x^{7}\)y³ ← is of degree 10 ( 7 + 3)

The equation of the line in slope-intercept form is y = (3/4)x.

To write the equation of a line in slope-intercept form, we need to use the slope-intercept form equation: y = mx + b,

where m is the slope and b is the y-intercept.

Given that the line passes through the point (-8, 5) and has a slope of 3/4, we can substitute the values into the equation to find the y-intercept (b).

First, let's find the value of b using the point-slope form equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Using (-8, 5) as the point and 3/4 as the slope, we have:

5 - 5 = (3/4)(-8 - x)

0 = (3/4)(-8 - x)

0 = (-3/4)(8 + x)

0 = -6 - (3/4)x

Next, we can solve for x:

(3/4)x = -6

x = -6 \(\times\) (4/3)

x = -8

Now that we have the value of x, we can substitute it back into the equation to find the value of b:

0 = -6 - (3/4)(-8)

0 = -6 + 6

0 = 0

So, the value of b is 0.

Finally, we can write the equation of the line in slope-intercept form:

y = (3/4)x + 0

y = (3/4)x.

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Answer:

O

Step-by-step explanation:

The equivalent expression to P + P + 1 is C. 2p + 1.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression P + P + 1.

We know arithmetic operations are applicable on like terms.

Like terms are those terms having same variable and the value of the exponent is also same.

Therefore,

The expression P + P + 1.

= 2P + 1.

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Answer

Explanation

As we are asked for the probability that an attendee does not attend a spinning class, we would have to add all those that are not in the spinning classification and divide them over the total attendees.

Also, we can calculate the probability of attendees that attend the spinning class and subtract it from 1.

0. Calculating the probability of attendees that attend the spinning class

We are given that 290 members and 93 non-members assist in the spinning class, and we are told that the total of attendees are 2043, thus:

2. Calculating the probability that an attendee does not attend a spinning class

As in the last part we calculated the probability of attendees that attend the spinning class, to calculate the probability that an attendee does not attend a spinning class we have to subtract the latter from 1 as follows:

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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The values of x and z are 13 and 118 respectively.

Linear pair of angles are the pair of angles formed when two lines are intersected at a point.

Sum of the measures of angles of linear pair is supplementary.

From the given figure, 62° and z° are linear pair of angles.

62 + z = 180

z = 180 - 62

z = 118

Similarly, z° and (7x - 29)° are linear pair of angles.

z + (7x - 29) = 180

118 + 7x - 29 = 180

7x = 180 - 89

7x = 91

x = 13

Hence the value of x is 13 and that of z is 118.

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The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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The domain and range of \(f(x) = \frac{x^{2}+ 6x+8}{x+4}\) is  D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2} .

The domain of a function f(x) is set of the value of x for which it is defied and Range of function is set of values f takes .

The rational number  \(f(x) = \frac{p(x)}{q(x)}\) where p(x) and q(x) are polynomial in terms of x and q(x) ≠ 0 . The domain of rational number is set of values that do not cause denominator equal to zero .

The given function is :

\(f(x) = \frac{x^{2}+ 6x+8}{x+4}\)

we need to find domain and range of function,

For domain put denominator equals to zero

x+4 = 0

x = -4

so, domain is every real number except number making it zero

domain = (-∞,-4)∪(-4,∞) and x ≠ -4

For range ,factoring numerator

x²+6x+8 = x²+2x+4x+8

x(x+2)+4(x+2) = (x+4)(x+2)

Putting numerator back,

\(f(x) = \frac{(x+4)(x+2)}{x+4}\)

Cancelling factor (x+4) from numerator and denominator

\(f(x) = x+2\)

Putting x+2 = 0

\(x +2 = 0\\x = -2\)

range = (-∞,-2)∪(-2,∞) and f(x) ≠ -2

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D: {x ∊ ℝ | x ≠ −4}; R: {y ∊ ℝ | y ≠ −2}

I took the test

Answer:

B. 3.34s

Step-by-step explanation:

Find t when the object hit the ground, h(t)=0.

h(t)=-16t²+178

0=-16t²+178

16t²=178

t²=11.125

t=√11.125=3.33541601603s

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

The total money was shared = $3304

What are proportion and ratio?

Two quantities are compared to form a ratio. An equality of two ratios is a proportion. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.

Aaron, Ben, and Charles split a sum of money in the following proportions: 2: 5: 7. What was the initial amount of money shared if Charles' part was 1180 higher than Aaron's portion?

——-

Ben:::: 5x

Charles:7x

Aaron:2x

———-

7x = 2x + 1180 in the equation

5x = 1180

x = 236

————-

2x + 5x + 7x = 14x

14x = 14*236 = $3304

—————————————

Hence the total money was shared = $3304

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Answer:

r=0

Step-by-step explanation:

9r x 3 - 144r = 0

27r-144r=0

-117r=0

r=0