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2 years ago

An English professor assigns letter grades on a test according to the following scheme.

Mathematics

1 answer:

Fiesta28 [93]2 years ago

5 0

9514 1404 393

Answer:

57 to 63

Step-by-step explanation:

A suitable probability tool can tell you the limits.

8% of scores will be below 56.95 ≈ 57

76% of scores will be above 63.24 ≈ 63

Scores between 57 and 63 will get a D grade.

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Select all the pieces of the triangle that are marked as congruent in the following picture

nikitadnepr [17]

Answer:

C. D. E. is the correct answer.

Step-by-step explanation:

Hope this helps you. Have a nice day. If you have doubt then please ask in comments.

Please mark as brainliest. It helps a lot.

5 0

2 years ago

Read 2 more answers

A toy rocket is launched vertically from 5 feet above ground level with an initial velocity of 112 feet per second. The height h

Masja [62]

Answer:

Step-by-step explanation:

a)The height h after t seconds is given by the equation h(t)=-16t^2+112t+5.

Where 5 represents 5feet above the ground and this is the height from which the rocket was launched.

The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height travelled by the rocket.

The vertex of the parabola is calculated as follows,

Vertex = -b/2a

From the equation,

a = -16

b = 112

Vertex = - - 112/32= 3.5

So the rocket will attain maximum height at 3.5 seconds.

It will also take 3.5 seconds to reach the ground. This means it will take a total of 3.5 seconds + 3.5 seconds

= 7 seconds to hit the ground.

b) to find time it will take to be 100 feet above the ground,

-16t^2+112t-95 = 0

Using general quadratic equation formula,

a = -16

b = 112

c = -95

t = [-b+/-√b^2-4ac]/2a

t = [ -112 +/-√112^2-4×-16×-95]/16 × -2

= [-112 +/-√12544-6080]/-32

= (-112+80.4)/-32 or (-112-80.4)/-32

t = 0.9875 or t = 6.0125

So it will take 0.9875 or approximately 1 second to be 100 feet above the ground

7 0

3 years ago

State and prove Bayes Theorem

Delvig [45]

Answer:

Bayes’ Theorem describes the probability of occurrence of an event related to any condition. It is also considered for the case of conditional probability.

For prove refer to the attachment.

Hope this helps you^_^

3 0

2 years ago

How many solutions are there to this equation 3x(x-4)+5-x=2x-7

stich3 [128]

Answer:

2 solutions

Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

x = 1
x = 4

To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

3x(x -4) +5 -x -(2x -7) = 0

3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.

<em>Alternate method</em>

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

d = (-15)^2 -4(3)(12) = 225 -144 = 81

This positive value means the equation has 2 real solutions.

4 0

3 years ago

What is the solution to the equation 1 over 8 multiplied by n equals 4?

SVETLANKA909090 [29]

N=32
Just multiply 4 by 8/1

5 0

3 years ago