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3 years ago

Fraction 4 over 5 n = Fraction 2 over 3. n = ___?

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

(4/5)n = (2/3)

move 4/5 to the right

n = (2/3)/(4/5)

n = 5/6

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Bruce bought two books one book cost $4.00 more than three times the other . Together, the two books cost him $72

VikaD [51]

One is $12 the other is $72

7 0

3 years ago

Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal

tigry1 [53]

Answer:

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

The mean values are 20, 15, and 30 min, respectively:

This means that $\mu = 20 + 15 + 30 = 65$

The standard deviations are 1, 2, and 1.5 min, respectively.

This means that $\sigma = \sqrt{1^2 + 2^2 + 1.5^2} = 2.6926$

What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?

Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 65}{2.6926}$

$Z = -1.86$

$Z = -1.86$ has a pvalue of 0.0314

0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component

7 0

2 years ago

The quotient of a number and 3 is 8

ahrayia [7]

Answer:

number = 24

Step-by-step explanation:

3 x 8 = 24

24 / 3 = 8

4 0

3 years ago

Find the x-intercepts for the parabola defined by the equation below. y = x2 + 9x + 14

faltersainse [42]

Answer:

x - intercepts are (-7,0) and (-2,0)

A is the correct option.

Step-by-step explanation:

We have been given the equation of the parabola $y=x^2+9x+14$

For x- intercept, y = 0

$0=x^2+9x+14$

We can split the middle term as 9x = 7x +2x

$x^2+7x+2x+14=0$

Now take GCF

$x(x+7)+2(x+7)=0$

Factored out the common term

$(x+7)(x+2)=0$

Apply the zero product property

$(x+7)=0,(x+2)=0$

Solve for x

$x=-7,-2$

Hence, x - intercepts are (-7,0) and (-2,0)

A is the correct option.

4 0

3 years ago

sashaice [31]

Answer:

Step-by-step explanation:

If slope of two lines are equal, then they are parallel lines.

If product of the slope of two lines is (-1), then they are perpendicular lines.

C) y = x + 2

Slope m1 = 1

y = -x + 3

Slope m2 = -1

m1 * m2 = 1 * (-1) = -1

These are perpendicular lines.

D) y = 3x + 2

Slope = m1 = 3

y = 3x - 2

Slope = m2 = 3

Slopes are equal. So, they are parallel lines.

E)y= 3

This line is parallel to x -axis.

x = 4

This line is parallel to y-axis.

So, both lines are perpendicular to each other.

F) y = x + 8

slope m1 = 1

y = -x + 3

Slope = m2 = -1

M1 * m2 = 1 * (-1) = -1

So, These are perpendicular lines

8 0

2 years ago