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4 years ago

60 is whatpercent of 40

Mathematics

1 answer:

DiKsa [7]4 years ago

8 0

<u>Answer:</u>

<u>Step-by-step explanation:</u>

Y is 60% of 40

Equation: Y = P% * X

<u>Solving our equation for Y</u>

Y = P% * X

Y = 60% * 40

<u>Converting percent to decimal:</u>

p = 60%/100 = 0.6

Y = 0.6 * 40

Y = 24

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The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d

NikAS [45]

Answer:

Option b. should not be rejected

Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

Null Hypothesis, $H_0$ : $\sigma$ = $\sqrt{0.003}$

Alternate Hypothesis, $H_1$ : $\sigma > \sqrt{0.003}$

The test statistics used here for testing variance is;

T.S. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2}__n_-_1$

where, s = sample standard deviation = 0.06

n = sample size = 26 cans

So, Test statistics = $\frac{(26-1)0.06^{2} }{0.003 }$ ~ $\chi^{2}__2_5$

= 30

So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.

5 0

3 years ago

Evaluate 2-(-4) + (-g) where y= 7.

Phantasy [73]

Answer:

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

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2 years ago

1. What is 0.078 written in expanded form

ArbitrLikvidat [17]

Answer:

7.8 x $10^{-2}$

Step-by-step explanation:

this is the real answer

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3 years ago

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6.8(6.7 – 7.2) – 2(4.6 + 1.2) = ???????

Gnesinka [82]

Answer:

6.8(6.7 – 7.2) – 2(4.6 + 1.2) =-15

Step-by-step explanation:

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3 years ago

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Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).

marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

$A=\frac{3\sqrt{3}}{2} a^2$

Where $A$ is the area of the regular hexagon

$a$ is the side length of the regular hexagon

Also, it's Perimeter is given by:

$P=6a$

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Where $d$ is the distance.

$(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance $d$ )