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3 years ago

Write an expression that shows how to multiply 4 times 362 using place value and expanded form

1 answer:

3 0

$362=300+60+2\\\\4\times362=4\times(300+60+2)\\\\ues\ distributive\ property:\\\\4\times300+4\times60+4\times2=1200+240+8=\boxed{1448}$

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Really easy i just don't feel like doing it, 10 extra points, (find x)

Varvara68 [4.7K]

X=24 should be the correct answer

6 0

3 years ago

Maria has a bag with 6 red marbles, 6 blue marbles, and 4 green marbles looking Maria picks one . She does not replace it and sh

Sati [7]

Answer: Hello there!

initially Maria has 6 red marbles, 6 blue marbles, and 4 green marbles.

You know that in the first pick, Maria gets a green marble ( this means that now there are 3 green marbles left)

Now we want to know the probability that she gets a red marble on the second pick.

Now there are 6 + 6 + 3 = 15 marbles in the bag, and 6 of them are red ones. Then the probability of getting one red is the number of red ones divided by the total amount ( which is the ratio of red marbles to total marbles)

this is 6/15.

now you can see that there is no 6/15 in the options, so we need to see which one is equivalent.

if we took the option C, 2/5, and multiply both denominator and numerator by 3, we get (3*2)/(3*5) = 6/15, then 2/5 and 6/15 are equivalents.

Then the correct answer is C.

Step-by-step explanation:

5 0

3 years ago

If f(x)=2x^2+3x+1 and g(x)=x+5, what would f(g(x))

Fantom [35]

Answer: The answer is $2x^2+23x+66.$

Step-by-step explanation: The given functions are

$f(x)=2x^2+3x+1,\\\\g(x)=x+5.$

We are to find f(g(x)). To do this, first we need to evaluate g(x) and then we will apply the function f on the resulting function.

The evaluation is as follows:

$f(g(x))=f(x+5)=2(x+5)^2+3(x+5)+1=2(x^2+10x+25)+3x+15+1\\\\\Rightarrow f(g(x))=2x^2+23x+66.$

Thus, the correct answer is $2x^2+23x+66.$

5 0

3 years ago

Read 2 more answers

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat

Aleksandr-060686 [28]

Answer:

Range = 71

Variance = 546.0

Standard Deviation = 23.4

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Step-by-step explanation:

We are given the following data set in the question:

33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{646}{11} = 58.7$

Sum of squares of differences = 5460.18

$\text{Variance} = \frac{5460.18}{11} = 546.0$

$S.D = \sqrt{\frac{5460.18}{10}} = 23.4$

Sorted Data Set: 26, 29, 33, 47, 56, 58, 65, 74, 78, 83, 97

Range = Maximum - Minimum

Range = 97 - 26 = 71

Based on the values, we can say that

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

6 0

4 years ago

What’s the equation of the blue line??

Sholpan [36]

Answer:

y = -1/2 + 2 (Slope intercept)

Step-by-step explanation:

Y-intercept is when the x-value is 0.

So the y-intercept is (0, 2)

To find slope, find two random points:

(0, 2) , (2, 1)

Slope (m) =ΔY/ΔX = -1/2 = -0.5

Equation of the line:

y = -0.5x + 2

y = -1/2 + 2

When x=0, y = 2

When y=0, x = 4

4 0

2 years ago