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3 years ago

9

S 8,000 a good estimate for the sum of 3,816 and 467?

1 answer:

Damm [24]3 years ago

7 0

Answer:

it is not a good estimate.

Step-by-step explanation:3816 can be rounded to 4000 and 467 can be rounded to 500. Adding 4000+500 gives 4500, which isn't near 8000.

i hoped this helped :)

<3

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jacks car used 18 gallons of gasoline to go for 68 miles at that rate how many gallons would be used to go 754 miles

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41.88 (repeated) gallons of gad

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3 years ago

Today, the mailman sorted 57 letters during his first hour of work, 69 letters during his second hour, 81 letters during his thi

mars1129 [50]

The answer is 93

If we sorted out the number of each hours, the sequence will look like this

57 _ 69 _ 81 _ x _ 105

(in which x is the fourth hour of work)

We can see from the sequence that each hours, the mailman add additional 12 letters.
(69 - 57 = 12)
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3 years ago

Solution to the system of equation -6x+y=-3 and 7x-y=3

djverab [1.8K]

Answer:

X = 0

Y = -3

Step-by-step explanation:

In this situation you would choose elimination.

-6x+y=-3

7x-y=3

---------------

x = 0

plug back in to find y

(-6)(0) + y = -3

0 + y = -3

y = -3

plug in to other equation for double check

7(0) - (-3) = 3

0 + 3 = 3

3 = 3

Hope this helps

3 0

3 years ago

In a state where license plates contain six digits, what is the probability that the license number of a randomly selected car h

andre [41]

Answer:

Step-by-step explanation:

Given : In a state where license plates contain six digits.

Probability of that a number is 9 = $\dfrac{1}{10}$ [Since total digits = 10]

We assume that each digit of the license number is randomly selected .

Since each digit in the license plate is independent from the other and there is only two possible outcomes for given case (either 9 or not), so we can use Binomial.

Binomial probability formula: $P(X=x)=^nC_xp^x(1-p)^{n-x}$

, where n= total trials , p = probability for each success.

Let x be the number of 9s in the license plate number.

$X\sim Bin(n=6, p=\dfrac{1}{10}})$

Then, the probability that the license number of a randomly selected car has exactly two 9's will be :

$P(X=2)=^6C_2(\dfrac{1}{10})^2(1-\dfrac{1}{10})^{6-2}\\\\=\dfrac{6!}{2!(6-2)!}(\dfrac{1}{100})(\dfrac{9}{10})^4=0.098415$

Hence, the required probability = 0.098415

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3 years ago

The following scatter plot shows the number of page views for a popular website and how many people signed up to receive emails

My name is Ann [436]

Answer:

See Explanation.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

<u>Algebra I</u>

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Linear Regression

Step-by-step explanation:

We can draw any best line of fit, as long as it is <em>reasonable</em> around the points that are given.

We can just take 2 points and use slope formula and Slope-Intercept Form to find the equation for the best line of fit.

Using Linear Regression, we can determine the <em>true</em> best line of fit using graphing utilities.

<u>Finding the best line of fit</u>

<em>Define 2 points</em>

Point (21600, 205)

Point (27000, 290)

<em>Find slope m</em>

Substitute in point [SF]: $\displaystyle m=\frac{290-205}{27000-21600}$
[Fraction] Subtract: $\displaystyle m=\frac{85}{5400}$
[Fraction] Simplify: $\displaystyle m=\frac{17}{1080}$

<em>Find equation</em>

Define equation [SIF]: $\displaystyle y = \frac{17}{1080}x + b$
Substitute in point: $\displaystyle 290 = \frac{17}{1080}(27000) + b$
Multiply: $\displaystyle 290 = 425 + b$
Isolate y-intercept <em>b</em>: $\displaystyle -135 = b$
Rewrite: $\displaystyle b = -135$
Redefine equation: $\displaystyle y = \frac{17}{1080}x - 135$

Slope-Intercept Form tells us that our slope <em>m</em> = $\displaystyle \frac{17}{1080}$ and our y-intercept $\displaystyle b = -135$ .

Setting this as function f(x), we can see from the graph that it is extremely accurate (Blue line).

<u>Using Linear Regression</u>

Depending on the graphing calc you have, the steps may be different.

Using a graphing calc, we can use statistics and determine the <em>best</em> best line of fit.

When we determine the values, we should see that our equation would be g(x) (Green Line).

<em>Credit to Lauren for collabing w/ me in graphing.</em>

6 0

3 years ago