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3 years ago

Solve by completing the square

Mathematics

2 answers:

Pavel [41]3 years ago

7 0

Answer:

Solve the equation for

by finding

, and

of the quadratic then applying the quadratic formula.

Exact Form:

−

√

−

√

Decimal Form:

1.64575131

…

−

3.64575131

Step-by-step explanation:

skelet666 [1.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

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Archie is fed up with waiting in line at his local post office and decides to take action. Over the course of the next few

gogolik [260]

The proportion of waiting times in the sample that are greater than or equal to 18 minutes is 0.16.

<h3>What is a histogram?</h3>

A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

Number of people whose wait time was equal or greater than 18 minutes / total number of people = (2 + 2) / (6 + 7 + 8 + 2 + 2)

4/25 = 0.16

Please find attached an image of a histogram. To learn more about histograms, please check: brainly.com/question/14473126

#SPJ1

3 0

2 years ago

Using 7 four times and 1 one time getting to 100

777dan777 [17]

Answer:

So the answer is $(7+\frac{1}{7} )\times (7+7)=100$

Step-by-step explanation:

Given,

Using $7$ four times and $1$ one time getting to $100$

If we are write this way then easily get the answer;

$(7+\frac{1}{7} )\times (7+7)$

Add together $7+\frac{1}{7}$ by making a common denominator of $7$ and also add $(7+7)$ in the second set of parenthesis to yield $14$

$(\frac{49+1}{7} )\times 14$

$\frac{50}{7} \times 14$

$50\times 2$ (By Cross-reduce and multiply the fractions)

$100$

∴ $(7+\frac{1}{7} )\times (7+7)=100$

4 0

3 years ago

X is normally distributed with a mean of 100 and a standard deviation of 15. What is the probability of randomly sampling a scor

VikaD [51]

Answer:

Using calculator: 0.0415

Using Z-score Table: 0.0418

Step-by-step explanation:

There are two ways you can solve this problem.

1. Use the normal distribution function on a calculator.

Entered values:

Lower Limit: 126

Upper Limit: 999999999999999... (To encompass all the data)

Standard Deviation: 15

Mean: 100

2. Find the Z score and look up probabilities on table.

Formula for Z score:

$Z=\frac{x-mean}{standard deviation} \\\\Z= \frac{126-100}{15}=1.7333...$

Z = 1.7333

This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.

This will show us the probability of the random sampling being equal to or lower than 126.

P = 0.9582

So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.

1-0.9582 = 0.0418

NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.

Hope this helped!

6 0

2 years ago

18 tens 20 ones = hundreds

mariarad [96]

= 200 18*10=180+20=200

7 0

3 years ago

Read 2 more answers

The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off of all

valkas [14]

<span>194 = 1/2x + 2(x - 8)
194 = 1/2x + 2x - 16 = 5/2x - 16
5/2x = 194 + 16 = 210
5x = 210 x 2 = 420
x = 420/5 = 84

Therefore, the regular price of a child's ticket is $84 - $8 = $76.
</span>

3 0

3 years ago