MATHEMATICS HIGH SCHOOL

Solve for x and y3x + 2y = 16
7x + y = 19

(-2,-5)
(-2,5)
(2,5)
(2,-5)

Answers

Answer 1

Answer:

Answer:

(2,5)

Step-by-step explanation:

it's (2,5) just to let you now

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Gerald says that the most common measurements is 14 quarter inches. is he right? why or whynot

Answers

Gerald is not right because the most common unit of measurement is centimeters (cm).

How do i graph negative square roots on a number line

Answers

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

Solve the inequality 4x<0.325

Answers

Answer:

x < 0.08125

*If I'm not right tell me.

A coffee machine can be adjusted to deliver any fixed number of ounces of coffee. if the machine has a standard deviation in delivery equal to 0.4 ounce, what should be the mean setting so that an 8-ounce cup will overflow only 0.5% of the time?

Answers

The mean will be calculates as follows; from the formula of z-score we shall have:
z=(x-μ)/σ
the z-score associated with 0.5% is 0
thus
0=
(8-μ)/0.4=0
solving for x we get:
μ=9

Answer: μ=9

Final answer:

The question can be addressed using the principles of Normal Distribution. Given the z-chart, 8 ounces is the observed value for the 99.5th percentile, which equates to approximately 2.58 standard deviations. Therefore, the mean setting of the coffee machine should be set around 8 ounces for the cup to overflow only 0.5% of the time.

Explanation:

The situation described in the question is a typical case of application of Normal Distribution. As a reminder, in a Normal Distribution, 99.7% of the values lie within 3 standard deviations of the mean. The question states that the cup should overflow only 0.5% of the time. Therefore, we need to consider the 99.5% of the left side under the normal curve (as we're considering the upper limit), which corresponds to around 2.58 standard deviations under the normal curve.

Given that the standard deviation (σ) is 0.4 ounces, using the formula X = μ + Zσ (where Z is the Z-score corresponding to the desired percentile, μ is the mean we want to find, and X is the threshold value where the cup overflows at 8 ounces), we can substitute the known values and solve for μ.

Therefore, 8 = μ + 2.58 * 0.4 Solving for μ gives us around μ = 7.966, or about 8 ounces. Hence, the mean setting of the coffee machine should be set around 8 ounces to ensure that the cup will overflow only 0.5% of the time.

Learn more about Normal Distribution here:

brainly.com/question/34741155

#SPJ12

In the set of first 10 natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10: What percent of the numbers are odd?

Answers

Answer: 50%

Step-by-step explanation:

If you notice the end points we start with odd and end in an even.

There can be a shift that matches evens and odds so 50% evens and 50% odds

From MysticAlanCheng

Each student wrote a two step equation. peter wrote the equation 4x - 2 =10, and andres wrote the equation 16x - 8 = 40. the teacher looked at their equations and asked them to compare them. describe one way in which the equations are similar