The ratio of dogs to cats at an animal shelter is 2 : 5.

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

5 0

Answer:

2.5 x the number of dogs

Step-by-step explanation:

You want to divide the number of cats by dogs

5/2=2.5

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Complete parts (a) through (c) below.

Yuki888 [10]

Answer:

a) $t_{crit}= 1.34$

b) $t_{crit}=-2.539$

c) $t_{crit}=\pm 2.228$

Step-by-step explanation:

Part a

The significance level given is $\alpha=0.1$ and the degrees of freedom are given by:

$df = n-1= 15$

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

$t_{crit}= 1.34$

Part b

The significance level given is $\alpha=0.01$ and the degrees of freedom are given by:

$df = n-1= 20-1=19$

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

$t_{crit}=-2.539$

Part c

The significance level given is $\alpha=0.05$ and $\alpha/2 =0.025$ and the degrees of freedom are given by:

$df = n-1= 11-1=10$

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

$t_{crit}=\pm 2.228$

4 0

2 years ago

Why is it not possible to form a right triangle with the lengths 2, 4, and 7? *

puteri [66]

Answer:

No. The sum of 2 and 4 is less than 7.

Step-by-step explanation:

So, first, to create a triangle, the sum of two smallest sides have to be greater than the longest side, which is 2+4 = 6, and 6 is smaller than 7.

So, no, 2, 4, and 7 cannot create a triangle, to be exact a right triangle.

Hope this helps!!

8 0