How should i round the number 60.7025?

Which of the following is a valid conclusion based on the given argument?

Marysya12 [62]

Answer:

Given that x=5, when we substitute in 5 for 2x + 3 = 13, the equation will turn out to be true.

Step-by-step explanation:

2x + 3 = 13 x=5

2(5)+3=13

10+3=13

13=13

6 0

3 years ago

Read 2 more answers

1/2 + 5/3 - 1<br>------------------<br> 3/4

Sav [38]

Hey there :)

$\frac{ \frac{1}{2}+ \frac{5}{3} -1 }{ \frac{3}{4} }$
↓ Is the same as
$\frac{1}{2} + \frac{5}{3} -1$ ÷ $\frac{3}{4}$

Since it is a division by fraction, we can multiply by what is called the reciprocal
( The attached picture might help you )
( $\frac{1}{2} + \frac{5}{3} - 1$ ) × $\frac{4}{3}$
↓ For this part, we need the common denominator, which is 6
$\frac{1(3)}{2(3)}+ \frac{5(2)}{32)} \frac{1(6)}{1(6)}$ × $\frac{4}{3}$

$\frac{3}{6}+ \frac{10}{6} - \frac{6}{6}$ × $\frac{4}{3}$
$\frac{7}{6}$ × $\frac{4}{3}$
$\frac{14}{9} = 1\frac{5}{9}$
↑
Your final answer

7 0

4 years ago

A wire bonding process is said to be "in control" if the mean pull strength is 10 pounds. It is known that pull-strength measure

Degger [83]

Answer:

B. 0.0099

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this roblem, we have that:

$\mu = 10, \sigma = 1.5, n = 4, s = \frac{1.5}{\sqrt{4}} = 0.75$

Probability of being out of control.

Less than 8.25 pounds, which is the pvalue of Z when X = 8.25. So

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

By the Central Limit Theorem

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

$Z = \frac{8.25 - 10}{0.75}$

$Z = -2.33$

$Z = -2.33$ has a pvalue of 0.0099.

So the correct answer is:

B. 0.0099

4 0

4 years ago

WILL GIVE BRAINLIEST!!!! if you show your work...

Ierofanga [76]

Answer:

(x² + 7x + 6) ÷ (x² + 2x + 1)

This should be in the form of a fraction, I just don't know how to format it that way on here.

Step-by-step explanation:

Since your denominators are equal on both fractions, you just need to subtract your numerators.

3x² + 9x + 12 - (2x² + 2x + 6)

When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.

So this:

2x² + 2x + 6

Will become this:

2x² - 2x - 6

This is how it will look:

3x² + 9x + 12 - 2x² - 2x - 6

Now all you have to do is collect the like terms.

3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²

This is how your numerator should look so far:

x² + 9x + 12 - 2x - 6

Now we move on to the next like terms.

9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x

This is how your numerator should look so far:

x² + 7x + 12 - 6

Now we move on to the last set of like terms.

12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6

This is how your numerator should be now:

x² + 7x + 6

Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).

You are done! I hope this was clear and you understand :)

5 0

3 years ago

Find the linear combination form of the vector v, where |v|=400 and θ= -60 degrees

ankoles [38]

Answer:

200 in the x-direction by -346 in the y-direction

Step-by-step explanation:

This vector lies in Quadrant IV.

The horiz. component is 400 cos (-60°) = 400(0.5) = 200, and

the vertical comp. is 400 sin (-60°) = 400(-0.866) = -346

The combination form is 200 in the x-direction by -346 in the y-direction, or (as a vector) <200, -346>

6 0

3 years ago