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solong [7]
4 years ago
15

Find two consecutive whole numbers that \sqrt(24) lies between.

Mathematics
1 answer:
Alex4 years ago
6 0

Answer:

4 and 5

Step-by-step explanation:

Consider whole numbers 1, 2, 3, 4, 5, 6, ... and their squares

1^2=1,\\ \\2^2=4,\\ \\3^2=9,\\ \\4^2=16,\\ \\5^2=25,\\ \\6^2=36,...

The number \sqrt{24} has a square (\sqrt{24})^2=24.

Since 16 you can conclude that

4

Thus, two consecutive whole numbers that \sqrt{24} lies between are 4 and 5.

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What is the critical value at the 0.05 level of significance for a goodness-of-fit test if there are six categories?
9966 [12]

Answer:

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

Step-by-step explanation:

For n=6  the degrees of freedom will be n-1 = 5 .

The goodness of fitness test χ²with significance of level ∝= 0.05 and 5 degrees of freedom is 11.07  (One tailed test )

The critical region depends on ∝ and the alternative hypothesis

a) When Ha is σ²≠σ² the critical region is

χ²  < χ²(1-∝/2)(n-1) and  χ² > χ²(1-∝/2)(n-1)   Two tailed test

( χ²  < 0.83) and ( χ²  > 0.83)

b) When Ha is σ²> σ² the critical region falls in the right tail and its value is

 χ² > χ²(∝)(n-1)   One tailed test  {11.07  (One tailed test )}

c) When Ha is σ² <σ² the critical region will be entirely in the left tail with critical value  

χ²(1-∝)(n-1)  One tailed test  (1.145)

6 0
3 years ago
Read 2 more answers
woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she burns 8 calories pe
RSB [31]
An inequality to model this would be

7x + 8y ≥ 336.

We multiply the number of minutes running, x, by the number of calories burned each minute by running, 7.  We multiply the number of minutes swimming, y, by the number of calories burned each minute by swimming, 8.  Adding these together, it needs to be greater than or equal to 336, since she wants to burn at least that many calories.
8 0
3 years ago
On a quiz, tina scored 4 points more than julia and earned 2 points in extra credic. Enter an expression that represent tina's s
andre [41]

Julia’s score is <em>y</em> and Tina’s score is <em>y</em> + 6.

Step-by-step explanation:

Let us take Julia’s score be <em>y</em>.

First Tina scored 4 points more than Julia, so the expression is <em>y</em> + 4.

Then, Tina earned 2 points as extra credic, now the expression becomes

(y + 4) + 2 = y + 6.

Hence Julia’s score is <em>y </em>and Tina’s score is <em>y</em> + 6.

7 0
3 years ago
SOMEONE PLEASE I NEED HELP Find a polynomial f(x) of degree 4 that has the following zeros. 6, 5, -4, -7 - Leave your answer in
sattari [20]

Answer:

y=(x-6)(x-5)(x+4)(x+7)

Step-by-step explanation:

<u><em>Formulate the equation of the polynomial function</em></u>

<u><em /></u>y=(x-6)(x-5)(x+4)(x+7)

<em>I hope this helps you</em>

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8 0
3 years ago
Read 2 more answers
Triangle JKL and Triangle MNO are similar triangles.
STALIN [3.7K]
We need to work out first the scale factor of the side length

Side MN correspond to the side JK

Side MN = 3.5 cm
Side JK = 14 cm

Scale factor = 14/3.5 = 4

Side OM correspond to side LJ
Side OM = 12 cm
Side LJ = 12 × 4 = 48 cm
4 0
3 years ago
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