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irinina [24]
2 years ago
5

Kevin and Brittany write an equation to represent the following relationship, and both students solve their equation. Who found

the correct equation and solution? Why is the other person incorrect?
5 times the difference of a number and 20 is the same as half the sum of 4 more than 4 times a number.

Mathematics
1 answer:
Vadim26 [7]2 years ago
3 0
Kevin, because the problem says the difference of a number (x) and 20, and since 20 is mentioned second, it would therefore be the second number in the problem
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Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
Nikolay [14]

Answer:

0.0359

Step-by-step explanation:

Data provided:

mean values of three independent times are 15, 30, and 20 minutes

the standard deviations are 2, 1, and 1.6 minutes

Now,

New Mean = 15 + 30 + 25 = 65

Variance = ( standard deviation )²

or

Variance = 2² + 1² + 1.6² = 7.56

therefore,

Standard deviation = √variance

or

Standard deviation =  2.75

Thus,

Z-value = \frac{\textup{60 - 65}}{\textup{2.75}}

or

Z-value = - 1.81

from the Z-table

the Probability of Z ≤ -1.81 = 0.0359

6 0
2 years ago
What is 15 tens - 1 gross ​
vampirchik [111]

Answer:

see the explanation

Step-by-step explanation:

we know that

A gross is equal to 120 ones or ten dozen

what is 15 tens - 1 gross

we know that

15 tens means ----> That you are adding 10, 15 times or multiplying 10 by 15, which gives you

10(15)=150

1 gross means ---> That you are adding 10, 12 times or multiplying 10 by 12

which gives you

10(12)=120

so

The algebraic expression of 15 tens - 1 gross is equal to

150-120=30

Convert to word expression

3  tens

8 0
2 years ago
Solve the equation a. 0.76, –0.76 c. 3.87 b. 4.98 d. 1.53, –1.53 Please select the best answer from the choices provided A B C D
lord [1]

You didn't write the equation you like to be solved. It is clear though, from the options you gave, that there are two equations you want to be solved simultaneously. I will give an example to illustrate this, and you may apply the process in solving your problem.

Step-by-step explanation:

Let

x + y = 7 ....................................(1)

x - 2y = -2...................................(2)

SOLVING USING THE SUBSTITUTION METHOD.

From (1), make y the subject.

y = 7 - x ....................................(3)

Substitute the value of y in (3) into (2)

x - 2(7 - x) = -2

x - 14 + 2x = -2

x + 2x = -2 + 14

3x = 12

Divide both sides by 3

x = 12/3 = 4

Now use x = 4 in (3)

y = 7 - 4 = 3

Therefore, ( x, y) = (4, 3)

SOLVING USING THE ELIMINATION METHOD.

x + y = 7 ....................................(1)

x - 2y = -2...................................(2)

First, let us eliminate x by subtracting (2) from (1)

(x + y) - (x - 2y) = 7 - (-2)

y + 2y = 7 + 2

3y = 9

Divide both sides by 3

y = 9/3 = 3

To eliminate y, first multiply (1) by 2, and add the result to (1)

2 × (1): 2x + 2y = 14 ........................(3)

................x - 2y = -2.........................(2)

____________________

...............3x = 12

............... x = 12/3 = 4

Therefore (x, y) = (4, 3)

7 0
2 years ago
Read 2 more answers
Suppose r(t)= cos(t)i+sin(t)j+(2t)k represents the position of a particle on a helix, where Z is the height of the particle abov
Gwar [14]

Answer:

The parametric equations for the tangent line are :

x = Cos(10) - t×Sin(10)

y = Sin(10) + t×Cos(10)

z = 20 + 2t

Step-by-step explanation:

When Z=20:

Z=2t=20 ⇒ t=10

The point of tangency is:

r(10)= Cos(10) i + Sin(10) j + 20 k

We have to find the derivative of r(t) to get the tangent line:

r'(t)= -Sin(t) i + Cos(t) j + 2 k

The direction vector at t=10 is:

r'(10)= -Sin(10) i + Cos(10) j + 2 k

So, the equation of the tangent line is given by:

x = cos 10 -t×Sin(10)

y = sin 10 + t×Cos(10)

z = 20 + 2t

4 0
2 years ago
Ethan rolls a 6-sided number cube. What is the probability that he gets a number greater than 2?
Vikki [24]
D.
This is because the probability of getting a number greater than 2 is 4/6.
Therefore, simplifying the expression gives us the fraction 2/3.
6 0
2 years ago
Read 2 more answers
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