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Sav [38]
3 years ago
6

Evaluate the expression

Mathematics
2 answers:
Verdich [7]3 years ago
7 0

Answer:

2

Step-by-step explanation:

Let's focus on the top part first, 2y-6 and we know y=5.

So 2(5) -6 is the equation, 2x5 is 10 and 10-6 is 4 so what we are left with is 4÷x we are also told that x is equal to 2. So 4÷2 is 2 and that's the final answer!

Hopefully this will help, have a great day!

nekit [7.7K]3 years ago
3 0

Answer:

2

Step-by-step explanation:

2Y = 10

10 - 6 = 4

x = 2

4/2 = 2

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Write and solve a system of equations made up of Aiden's and Natalie's lines of best fit that they can use
dezoksy [38]

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Given the equations:

Aiden: y = 2.3x + 160.7

Natalie: y = 3.6x + 202.6

For their tennis balls to cover the same distance:

2.3x + 160.7 = 3.6x + 202.6

1.3x = -41.9

x = -32.3

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

Find out more on linear equation at: brainly.com/question/14323743

7 0
2 years ago
Dina is getting a new rug for her hallway. The rug is 5/6 meter wide and 9 meters long. What is the area of the rug?
harkovskaia [24]

Answer:

  7 1/2 square meters

Step-by-step explanation:

The area of a rectangle is the product of its length and width.

  A = LW

  A = (9 m)(5/6 m) = 45/6 m² = 7 1/2 m²

The area of Dina's new rug is 7 1/2 square meters.

7 0
3 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
3 years ago
Without dividing or listing multiples how can you tell if 61 is a multiple of 6.
Ostrovityanka [42]
For a number to be a multiple of 6, it must be divisible by 6
and a number divisble by 6 means that it is divisble by 2 and 3

since the ones digit is odd it is not divisble by 2 which means 61 is not a multiple of 6
7 0
3 years ago
2(p+7)=18<br><br>Please add a equation ​
Aleonysh [2.5K]

Answer: P = 2

Step-by-step explanation:

18 = 2(p+7)

18 = 2(2P+14)

-14         -14

4 = 2P

2=P

7 0
2 years ago
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