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nadya68 [22]
3 years ago
12

If all the dimensions of a triangle are doubled,the area of the triangle will be doubled,too

Mathematics
2 answers:
sergey [27]3 years ago
7 0
No this statement is not truee
DochEvi [55]3 years ago
3 0
A1=bh/2

A2=2b*2h/2=2bh

A2/A1=2bh/(bh/2)

A2/A1=4bh/bh=4

So the area is quadrupled not doubled...
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fiasKO [112]
It is C. r=6

3 * 6 = 18 + 2 =20
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3 years ago
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WAIT UNTIL YOU SEE THE PICTURE HELPP WITH #5
Natalka [10]
You would do (2x+60)+6x=180... when you simplify you get 15. 
6 0
3 years ago
Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and
Anastasy [175]

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = \frac{-8-1}{5-2} = \frac{-9}{3} = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

6 0
3 years ago
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) The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday
Vsevolod [243]

Answer:

a) The standard deviation of this sampling distribution is 2.07.

b) The missing number is 4.14.

c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

\mu = 272, n = 840, \sigma = 60

(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?

Using the Central Limit Theorem:

s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07

The standard deviation of this sampling distribution is 2.07.

(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?

Within 2 standard deviations of the mean.

So, 2*2.07 = 4.14

The missing number is 4.14.

(c) What is the 95% confidence interval for the population mean score μ based on this one sample?

Within 4.14 of the mean

272 - 4.14 = 267.86

272 + 4.14 = 276.14

The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

6 0
3 years ago
Can someone help me with this plz?
vredina [299]
I believe it is 21 and all so if u are having trouble in mathematics a good app to have is Pappa math algebraic calculator
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2 years ago
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