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2 years ago

..A tin of paint was 2/3 litres full. Tom used 1/2 of

Mathematics

1 answer:

nordsb [41]2 years ago

5 0

Multiply the amount of paint started with by the amount used:

2/3 x 1/2 = (2 x 1) / (3 x 2) = 2/6 = 1/3

There is 1/3 liter left

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Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste

Volgvan

Answer:

a) The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

b) p - value 0.00001

The p - value 0.00001 < 0.01

The result is significant at p<0.01

Step-by-step explanation:

Step(i):-

Given mean of the population = 10

Sample size 'n'= 35

Mean of the sample x⁻ = 14.44

Standard deviation of the sample 's' = 4.45

Level of significance ∝ = 0.01

Step(ii):-

Null Hypothesis H₀ : μ >10

Alternative Hypothesis : H₁ : μ < 10

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }$

t = 5.903

Degrees of freedom = n-1 = 35-1 = 34

tabulated value t₀.₀₁,₃₄ = 2.572

The calculated value t = 5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

p- value :

p - value 0.00001

The p - value 0.00001 < 0.01

The result is significant at p<0.01

8 0

3 years ago

Which of these tables does NOT represent a function?

horrorfan [7]

Answer:

please mark me brainliest if it helps you

B does NOT represent a function.

4 0

2 years ago

X^3 = 125 over 27 CAN I PLEASE GET HELP

Zinaida [17]

X³ = 125/27

Cube root both sides to isolate the variable:

∛x³ = ∛(125/27)

x = ∛(125/27)

∛125 = 5, ∛27 = 3

x = 5/3

5 0

3 years ago

Adult red wolves vary in length from 137.16 cm to 168.64 cm. Estimate the difference in length between the longest and shortest

zhannawk [14.2K]

Answer:

As per the statement:

Adult red wolves vary in length from 137.16 cm to 168.64 cm.

To find the difference in length between the longest and shortest of these wolves.

Longest length of wolves = 168.64 cm

Shortest length of wolves= 137.16 cm

Then;

$\text{Difference of the length between the longest and shortest of these wolves}$ = $\text{Length of longest wolves} -\text{Length of shortest wolves}$

Substitute the given values we have;

$\text{Difference of the length between the longest and shortest of these wolves}$ = 168.64 - 137.16 = 31.48 cm

therefore, the difference in length between the longest and shortest of these wolves is 31.48 cm

3 0

3 years ago

Which of the following operations could you perform on both sides of the given equation to solve it? check all that apply. 8x -

antiseptic1488 [7]

8x-2x=24+6
6x=30
6x/6=30/6
x=5

3 0

3 years ago