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3 years ago

How to find the missing numbers

Mathematics

1 answer:

Mamont248 [21]3 years ago

4 0

Answer:

In order to find the missing number (X), you must first identify the pattern in the set of numbers. Upon a glance, you can determine that the pattern starts with 4 and then the next number is 2n+1, with n being the preceding number in the set.

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Write the standard form of the line that contains a slope of 1/2 and y-intercept of 3. Include your work in your final answer. T

nata0808 [166]

Answer:

2y-x=6

Step-by-step explanation:

Standard form is ax+by=c.

Slope form : y=mx+n where m is slope n-y intercept.

First we write in slope form

$y=\frac{1}{2}x+3$

Now we can multiply both sides by 2.

2y=x+6

Subtract for each side x

2y-x=6

4 0

3 years ago

The number of gallons of carbonated soft drink consumed per person annually is normally distributed with mean 47.5 and standard

8_murik_8 [283]

Answer:

$P(45$

And we can find this probability with the following difference:

$P(-0.714$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.714$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of gallons of a population, and for this case we know the distribution for X is given by:

$X \sim N(47.5,3.5)$

Where $\mu=47.5$ and $\sigma=3.5$

We are interested on this probability

$P(45$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(45$

And we can find this probability with the following difference:

$P(-0.714$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-0.714$

5 0

3 years ago

Katie wants to know how much she needs to deposit into a two year CD account in order to earn $100 in simple interest. The accou

sergey [27]

Answer:

To obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

Step-by-step explanation:

Given that Katie wants to know how much she needs to deposit into a two year CD account in order to earn $ 100 in simple interest, knowing that the account currently has a 1.5% interest rate, the following calculation must be performed:

X x 0.015 = 100

X = 100 / 0.015

X = 6,666.66

6,666.66 x 1.015 = 6,766.66

Thus, to obtain $ 100 in simple interest with a rate of 1.5%, Katie must deposit $ 6,666.66.

7 0

2 years ago

Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow

shutvik [7]

Answer:

a^3-125

Step-by-step explanation:

(a-5)(a^2+5a+25)

a^3+5a^2+25a-5a^2-25a-125

a^3+5a^2-5a^2+25a-25a-125

a^3-125

5 0

2 years ago

Read 2 more answers

Solve the following by elimination method <br> 11x+15y+23=0 and 7x-2y-20=0

mr Goodwill [35]

Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)

Multiply equation (1) by 2:
22x + 30y + 46 = 0

Multiply equation (2) by 15:
105x - 30y - 300 = 0

Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]

Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3

Therefore, x = 2 and y = -3.

7 0

3 years ago