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kenny6666 [7]
3 years ago
10

Choose the statement that is true.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer: option A is correct

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

Therefore, looking at the options, the true statement id

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.

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Find the value of x. Round your answer to the nearest tenth
Sati [7]

x=13.8

<u><em>Step-by-step explanation:</em></u>

  • Since the triangle is right use the tangent ratio to solve for x

tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}

  • Multiply both sides by x

x × tan41^o=12 ( divide both sides by tan41^o )

x =  ≈  ( nearest tenth )

6 0
2 years ago
Solve for w: -4u-w = u+6w
wlad13 [49]

Answer:

A

Step-by-step explanation:

-4u - w = u + 6w

-4u = u + 7w  (Add w to both sides)

-5u = 7w (Subtract u from both sides)

w = -\frac{5u}{7} (Divide both sides by 7)

8 0
3 years ago
Read 2 more answers
A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents
Cerrena [4.2K]

Answer:

y(t) = 750 -50t

Step-by-step explanation:

We want to model the position of the submarine as a function of time.

Notice that we have a constant amount. The initial depth: 750 meters

 Then we have a factor that varies over time. Every hour the submarine ascends 50 meters. therefore as t increases the depth y(t) of the submarine decreases. Then the factor is:

-50t.

Where t represents the time in hours.

Then the equation that represents the new position of the submarine in relation to the level of the sea:

y(t) = 750 -50t

4 0
3 years ago
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Select the three ratios that are equivalent to 2 adults5 children. CLEAR CHECK 8 adults20 children 5 adults8 children 20 adults5
xeze [42]

Answer:

Step-by-step explanation:

The ratio of adult to children is determined by number of adult / number of children.

We want to determine the three ratios that are equivalent to 2 adults 5 children. So we will divide each of the given number of adults and children.

1) 8 adults 20 children = 8/20 = 2/5

2) 5 adults 8 children = 5/8

3) 20 adults 50 children = 20/50 = 2/5

4) 4 adults 10 children = 4/10 = 2/5

So the three ratios that are equivalent to 2 adults 5 children are

8 adults 20 children,

20 adults 50 children and

4 adults 10 children

4 0
3 years ago
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money doe
scZoUnD [109]

Answer:

$2,980

Step-by-step explanation:

Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.

From the given question:

Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage

the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points

Thus; the additional money  she need to bring to closing is calculated by the formula:

cost = points × loan amount

= 0.02 × $149,000

= $2,980

4 0
4 years ago
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