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2 years ago

That’s all i need to know. Thanks!

Mathematics

2 answers:

Svet_ta [14]2 years ago

6 0

Answer:

c = 5

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = 25

c^2 = 25

sqrt of 25 = 5

c= 5

viktelen [127]2 years ago

4 0

Answer:

c=5

Step-by-step explanation:

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What is the expression (a^2+b^2)^2 is equivalent to

netineya [11]

<span>(a^2+b^2)^2
since (a+b)^2=a^2+2ab+b^2, substitute a with a^2 and b with b^2, which yields:
a^4+2(a^2*b^2)+b^4</span>

7 0

2 years ago

Read 2 more answers

Suppose that we are testing H0 : 0 versus H1 : 0 with a sample size of n 10. Calculate bounds on the P-value for the following o

stepan [7]

Answer:

a) $p_V = 2*P(t_{9} >|2.48|) =0.0349$

We can use the following excel code: "=2*(1-T.DIST(2.48,9,TRUE))"

$0.03 < p_v$

b) $p_V = 2*P(t_{9} >|-3.95|)=0.003355$

We can use the following excel code: "=2*(1-T.DIST(3.95,9,TRUE))"

$p_v$

c) $p_V = 2*P(t_{9} >|2.69|) =0.02480$

We can use the following excel code: "=2*(1-T.DIST(2.69,9,TRUE))"

$0.01 < p_v$

d) $p_V = 2*P(t_{9} >|1.88|) =0.09281$

We can use the following excel code: "=2*(1-T.DIST(1.88,9,TRUE))"

$0.05 < p_v$

Step-by-step explanation:

For this case we are testing the following system of hypothesis:

Null hypothesis: $\mu =0$

Alternative hypothesis: $\mu \neq 0$

The sample size is n=10, so then the degrees of freedom are given by:

$df=n-1= 10-1=9$

In order to calculate the p value we can use the fact that we are conducting a bilateral test so then the p value is given by:

$p_V = 2*P(t_{9} >|t_0|)$

Where $t_0$ represent the calculated or observed statistic.

a) t0= 2.48

$p_V = 2*P(t_{9} >|2.48|) =0.0349$

We can use the following excel code: "=2*(1-T.DIST(2.48,9,TRUE))"

$0.03 < p_v$

b) t0= -3.95

$p_V = 2*P(t_{9} >|-3.95|)=0.003355$

We can use the following excel code: "=2*(1-T.DIST(3.95,9,TRUE))"

$p_v$

c) t0=2.69

$p_V = 2*P(t_{9} >|2.69|) =0.02480$

We can use the following excel code: "=2*(1-T.DIST(2.69,9,TRUE))"

$0.01 < p_v$

d) t0=1.88

$p_V = 2*P(t_{9} >|1.88|) =0.09281$

We can use the following excel code: "=2*(1-T.DIST(1.88,9,TRUE))"

$0.05 < p_v$

6 0

2 years ago

The following are the temperatures of 10 days in winter in °C.

LUCKY_DIMON [66]

Mean basically means average/ all the numbers added together divided by the amount of numbers given to us

So all the numbers added up will equal to 51 (-5+-3+-1+6+6+9+9+10+10+10) now divide that by the number of of numbers me given to us which is 10 so

51/10= 5.1

Mean=5.1

6 0

1 year ago

Bags are filled with bird food at a rate of 420 grams per second.

Eduardwww [97]

Answer:

302

Step-by-step explanation:

420(grams per sec)x60(seconds in a min) = 25,200(grams per min)

25,200x60(min in an hour) = 1,512,000(grams an hour)

1,512,000/1,000(grams in a kilogram) = 1,512 (kilograms per hour)

1,512/20 (size of bag) = 75.6 (bags filled per hour)

75.6x4(hours elapsed asked by the question) = 302 bags completly filled in 4 hours

3 0

1 year ago

Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4

sasho [114]

Answer:

Her uncle's age = 47 years

Step-by-step explanation:

Sophia = 12 years old

Her Uncle Reynald tells her that if she adds 5 to her age,

= 12 + 5

multiplies the sum by 3

= (12 + 5) × 3

and then subtracts 4 from the product

= {(12 + 5) × 3} - 4

she will find his age

{(12 + 5) × 3} - 4

= (17 × 3) - 4

= 51 - 4

= 47

Her uncle's age = 47 years

Sophia wrote:

12 + 5 × 3 − 4

Using PEMDAS

P - product

E - exponent

M - multiplication

D - division

A - addition

S - subtraction

Sophia's expression can be written as = 12+(5*3)-4

= (12 + 15) - 4

= 27 - 4

= 23

Sophia's expression is wrong

8 0

2 years ago