Solve the system of equations

sammy [17]

the answer is 15.090090

7 0

3 years ago

Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longbo

Alisiya [41]

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0: μL > μs against the claim Ha: μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/ √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58) ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

6 0

3 years ago

Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha

Fittoniya [83]

Answer:

"A is smaller"

Step-by-step explanation:

The full question is attached.

<u>Surface area of cylinder:</u>

The formula is $SA=2\pi r^2 + 2\pi r h$

where r is the radius and h is the height

Here, radius would be 30 since balls have diameter 60 and radius is half of that.

Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240

Now, plugging into the formula, we get:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (30)^2 + 2\pi (30) (240)\\SA=50,868$

<u>Surface Area of rectangular prism:</u>

The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).

Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800

Area of 2 sides = 2 * (60*120) = 14,400

Area of front and back = 2 * (60*120) = 14,400

Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600

Thus, cylinder has smaller surface area.

"A is smaller"

7 0

3 years ago

Read 2 more answers

1/2x^2 -8x+3 NEED HELPPPPPPP NOWWWWW

torisob [31]

Answer: 1 /2 ( x 2 − 16 x + 6 )

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

If y varies directly as x and y = 36 when x = 4,what is the value of y when x=6?

zepelin [54]

Answer:

Step-by-step explanation:

If the two numbers vary directly, we can use a proportion to find the missing value.

36/4 = y/6

4y = 216

Divide by 4

y = 54

Check

36/4 = 54/6

216 = 216 ✅

8 0

2 years ago