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3 years ago

Pls Help! Brainliest for right answer!

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

180 - 105 = 75
35 can be moved across and up to make the angles of the triangle 75, 35 and x
meaning x must be 70
sorry I don't remember all the vocab from geometry lol

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Let X be the mean of a random sample of size n = 64 from the uniform distribution on the interval (0, 3), i.e. f(x) = ( 1 3 , 0

allochka39001 [22]

Answer:

P ( 1.2 < X < 2.1 ) = 0.3

Step-by-step explanation:

Given:

Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)

f(x) = 1 / (b - a)

Where a < x < b is the domain at which function is defined:

f(x) = 1 / (3) = 1 / 3

Where, X - U ( u , δ )

u = ( a + b ) / 2 = (0 +3) / 2 = 1.5

δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866

Hence,

X - U ( 1.5 , 0.866 )

There-fore calculating P ( 1.2 < X < 2.1 ):

$P ( 1.2 < X < 2.1 ) = \int\limits^b_a{f(x)} \, dx$

Where, a = 1.2 and b = 2.1

P ( 1.2 < X < 2.1 ) = x / 3 |

P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3

Answer: P ( 1.2 < X < 2.1 ) = 0.3

6 0

3 years ago

The population of fruit flies tripled every day and the population today is 200 fruit flies.

katrin [286]

Answer:

Equation = 600n
Number of fruit flies after 3 days = 1800 fruit flies

Step-by-step explanation:

Given:

Number of fruit flies = 200

Rate of growth = 3 times per day

Find:

A . Equation

B . Number of fruit flies after 3 days

Computation:

A . Equation = 3n(200)

Equation = 600n

B. Number of fruit flies after 3 days

Number of fruit flies after 3 days = 600(3).

Number of fruit flies after 3 days = 1800 fruit flies

4 0

3 years ago

Pauline invested $10,000 at two different

Dahasolnce [82]

Answer:

So for this, I will be doing a system of equations. Let x = money invested at 4% and y = money invested at 6%. We know that x and y will total up to 10k since that's how much he initially invested, so that'll be one of our equations.

Our other equation will represent the total balance he has after investing. We know that x's interest is 4% (since the money is increasing, this would translate to 1.04 in decimal form) and y's interest is 6% (aka 1.06 in decimal form since its increasing) and that the total balance is 10470 (initial balance + interest income).

Step-by-step explanation:

Using all this info, these are our two equations:

X+Y=10000

1.04x+1.06=10470

Next, substitute x in the second equation for (10000 - y) and solve for y as such:

1.04(10000-y) +1.06y =10470

10400 - 1.04y + 1.60y = 10470

10400 + 0.02y = 10470

0.02y =70

y = 3500

Now that we have the value of y, substitute it into either equation to solve for x:

x + 3500 = 10000

x= 6500

1.04x + 1.06(3500)= 10470

1.04x = 6500

Answer

In short:

$6,500 was invested in the 4% rate

$3,500 was invested in the 6% rate

4 0

3 years ago

Help please 50 PTS! I need this asap

mars1129 [50]

Answer:

How tall are you

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6 0

2 years ago

For the multiple choice questions, circle the best answer.In hypothesis testing, a Type 1 error occurs when:A. the null hypothes

Aleksandr [31]

Answer: A

Step-by-step explanation: Type 1 error is to reject the null hypothesis ONLY IF p is less than 10. you would not reject the null hypothesis if the alternative hypothesis is true... you would "fail to reject the null hypothesis".

4 0

3 years ago