Which group of organism has the shortest record of life on earth

A researcher wants to test to see if husbands are significantly older than their wives. To do this, he collects the ages of husb

OLga [1]

Complete Question

The complete is shown on the first uploaded image

Answer:

The correct option are option 2 and option 4

Step-by-step explanation:

From the question we are told that

The sample size is n = 12

The test statistics is $t \approx 1.434$

The level of significance is $\alpha = 0.05$

The rejection region is t>1.796

The null hypothesis $H_o: \mu_d=0$

The alternative hypothesis is $H_a : \mu_d >0$

From the given values we see that t < 1.796(i.e 1.434 < 1.796 ) which implies that t is not within the rejection region

Hence we fail to reject the null hypothesis

The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.

4 0

2 years ago

Combine like terms to create an equivalent expression

klasskru [66]

Answer:

1/6a-1/6

Step-by-step explanation:

-2/3 transferred into 6th's is -4/6. You combine like terms, -4/6a+5/6a=1/6a

Then since -1/6 doesn't have a like term, it stays the same.

7 0

2 years ago

Help and fast

kolbaska11 [484]

Answer:

3 cm base, 6 cm height

Step-by-step explanation:

base is already labeled and the height is as well

3 0

3 years ago

Read 2 more answers

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Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

$V_{C}=(10)^3=1000\text{ cm}^3$

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

$V_R=h(25)(20)=500h\text{ cm}^3$

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

$500h=1000$

Therefore:

$h=2$

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

$A_{R_M}=20(25)(10)=5000 \text{ cm}^3$

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

$(5000-1000)\text{ cm}^3=4000\text{ cm}^3$

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

3 0

3 years ago

Read 2 more answers

People pls stop reporting you downloaded the app so don’t complain about what’s on it :)

Nikitich [7]

ohhhh that sounds interesting

7 0

2 years ago