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3 years ago

X^2 - 2x - 63 = 0 Complete the square

Mathematics

1 answer:

masha68 [24]3 years ago

4 0

Answer

x=9,-7

Step-by-step explanation:

Using the formula (b/2)^2 to create a new term and then solve x

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Nathan drew a scale drawing of a house he use the scale 5 cm equal 3 m if the actual length of the garage is 12 m how long is th

never [62]

In the drawing the garage is 7.2 cm

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3 years ago

Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t

PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

$P(X$

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

$P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673$

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0

3 years ago

A baseball hat for $22.90 at 5% sales tax

Alexus [3.1K]

22.90*1.05=24.045
sales tax is 5% added to 100% of the original cost making the actaul cost including tax $24.045

8 0

3 years ago

Read 2 more answers

50 POINTS!!!!!

Makovka662 [10]

We can adjust the data by adding 4 to everything before we calculate the statistics. Or we can calculate the statistics on the given data and just add 4 to everything at the end. We'll get the same answer either way.

Let's sort the seven data points: 5 5 5 7 7 9 10

Those add up to 48 so the mean is 48/7 = 6.9

The one in the middle is 7 so the median = 7

The mode is the most common one, mode = 5

The range is the difference between max and min, so range = 10 - 5 = 5

In the second week we add four to everything. Since that adds four to the min and max, the range doesn't change.

Answer: mean=10.9, median=11, mode=9, range=5

7 0

3 years ago

If the Lafita family deposits 8500$ ina savings account at 6.75% interest, compounded continuously, how much will be the account

julsineya [31]

A=pe^rt
A=8,500×e^(0.0675×25)
A=45,950.57

8 0

3 years ago