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3 years ago

If you had a block of each type of wood with the same dimensions, how would their weights compare?

1 answer:

6 0

Their weights would be different from another, because of the mass of the wood. Sure, they may have the same dimensions, but does a square of feathers weigh as much as a square of metal?

Read more about Addition here:

brainly.com/question/20658817

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4 0

1 year ago

Subtraction equation with a difference of 54.57

hodyreva [135]

148.57-94 would equal 54.57

5 0

2 years ago

The sum of two consecutive numbers is 35. What is the smallest number?

sweet-ann [11.9K]

Answer i got is 17, 18

4 0

3 years ago

Find the value of n, correct to 4 significant figures.

Law Incorporation [45]

Answer:

6.708

Step-by-step explanation:

Y varies directly as the square of x (Given)

$\implies y\:\alpha \:x^2$ ......(1)

Y varies inversely as the square root of z (Given)
$\implies y\:\alpha\: \frac{1}{\sqrt z}$ ......(2)

Combining (1) & (2), we find:

$y\:\alpha \:\frac{x^2}{\sqrt z}$

$\implies y=\frac{kx^2}{\sqrt z}$ (Where k is constant of proportionality).....(3)

Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

$2=\frac{k(3)^2}{\sqrt 4}$

$\implies 2=\frac{k(9)}{2}$

$\implies k =\frac{4}{9}$

Plugging the value of k in (3), we find:

$y=\frac{4x^2}{9\sqrt z}$ ....(4)

Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

$5=\frac{4(n)^2}{9\sqrt {16}}$

$\implies 5=\frac{4(n)^2}{9(4)}$

$\implies 5=\frac{(n)^2}{9}$

$\implies 5(9)=(n)^2$

$\implies 45=(n)^2$

$\implies n=\sqrt{45}$

$\implies n=6.70820393$

$\implies n\approx 6.708$

7 0

1 year ago

A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp

Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

$\mathtt{H_o : \mu = 70} \\ \\ \mathtt{H_1 : \mu > 70 }$

The z score for this statistics can be calculated by using the formula:

$z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}$

$z = \dfrac{3}{\dfrac{7}{5}}$

$z = \dfrac{3 \times 5}{{7}{}}$

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value = 1 - 0.9839

P - value = 0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0

3 years ago