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Reil [10]
3 years ago
7

Mr. Duncan mixed 0.00055 pounds of sulfur and 0.00104 pounds of iron powder in a test tube before heating it. What is the total

weight of the mixture in the test tube?
Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0
We add 0.00055+0.00104 together.

0.00104+0.00055= 0.00159

I hope this helps!
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If f(x)=3<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="late
Anvisha [2.4K]

Answer:

\sf f(-3) = 23

<u>given:</u>

\sf f(x) = 3x^2 -4

to find the output, replace x with the given integer.

solve:

\sf f(-3) = 3(-3)^2 -4

\sf f(-3) = 3(9) -4

\sf f(-3) = 27 -4

\sf f(-3) = 23

5 0
2 years ago
In a given year, the average annual salary of a NFL football player was $189,000 with a standard deviation of $20,500. If a samp
nika2105 [10]

Answer:

15.15% probability that the sample mean will be $192,000 or more.

Step-by-step explanation:

To solve this problem, 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 189000, \sigma = 20500, n = 50, s = \frac{20500}{\sqrt{50}} = 2899.14

The probability that the sample mean will be $192,000 or more is

This is 1 subtracted by the pvalue of z when X = 192000. So

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

By the Central Limit Theorem

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

Z = \frac{192000 - 189000}{2899.14}

Z = 1.03

Z = 1.03 has a pvalue of 0.8485.

1-0.8485 = 0.1515

15.15% probability that the sample mean will be $192,000 or more.

7 0
2 years ago
tanya has 3 red marbles 7 blue marbles and 9 green marbles what expression can be used to to find the percent of tanyas marbles
stepladder [879]

Answer: 3+7+9=19.....7/19=0.368 percent. Move the decimal two places to the right and round up for 37%

Step-by-step explanation:

Add all the colors together to get a TOTAL amount of ALL marbles.

The total amount for this problem is 19 (3+7+9=19)

The blue amount of marbles is given as 7.

Divide the blue amount (7) by the total amount (19) for the specific percentage for that color.

6 0
2 years ago
What is the equation of the line, in general form, that passes through the point (1,1) and has a y-intercept of 2.
guajiro [1.7K]

Answer:

<h2>x + y - 2 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept.

Put the given y-intercept b = 2 and the coordinates of the point (1, 1) to the equation:

1=1m+2            <em>subtract 2 from both sides</em>

-1=m\to m=-1

The equation of a line:

y=-1x+2\to y=-x+2

The general form of an equation of a line:

Ax+By+C=0

Convert:

y=-x+2          <em>add x to both sides</em>

x+y=2         <em>subtract 2 from both sides</em>

x+y-2=0

4 0
2 years ago
For f(x) = 2x + 1 and g(x) = x2 - 7, find (f - g)(x).
kakasveta [241]

Step-by-step explanation:

f(x)=2x+1

g(x)=2x-7

now,

  • f-g(x)=f(x)-g(x)
  • 2x+1-2x+7
  • 8

(f-g)(x)=8

hope it helps.

5 0
2 years ago
Read 2 more answers
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