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3 years ago

The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?

Mathematics

1 answer:

Charra [1.4K]3 years ago

8 0

Answer:

l= $24\*x^{6}$

w= $y^{15}$

Step-by-step explanation:

We know that the area of rectangle can be determined by the multiply the length to the width i.e

A = l • w..................Eq(1)

Here A represented the area .

l= Length of rectangle

w= Width of rectangle

Here A= $24x^{6} y^{15}$ ...

It can be written as $A= 24x^{6} \ *y^{15}$ ..............Eq(2)

Comparing the Eq(2) to the Eq(1)

$l=24x^{6}\\ w=y^{15}$

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Male cardinal birds sing to attract females. An ornithologist wants to test the claim that the true mean duration of songs sung

Inessa05 [86]

Answer:

$t=\frac{6.31-6}{\frac{1.2}{\sqrt{35}}}=1.5283$

d. 1.5283

Step-by-step explanation:

Data given and notation

$\bar X=6.31$ represent the sample mean

$s=1.2$ represent the sample standard deviation

$n=35$ sample size

$\mu_o =6$ represent the value that we want to test

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 6 seconds, the system of hypothesis are :

Null hypothesis: $\mu \leq 6$

Alternative hypothesis: $\mu > 6$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{6.31-6}{\frac{1.2}{\sqrt{35}}}=1.5283$

d. 1.5283

8 0

3 years ago

the radius of s cylinder is 3x-2cm the height of the cylinder is x+3 cm what is the surface area of the cylinder

Mashcka [7]

If you picture a cylinder rolled out flat. there would be two circles for top and bottom and then a rectangle for the side. The rectangle would have width equal to height and length equal to circumference.

So then the areas of the pieces are added together to get total surface area.

= 2pi(3x-2)^2 + 2pi(3x-2)(x+3)

and you can simplify this is you want by multiplying through and combining like terms.

= 2pi(12x^2 - 5x -2)

or factor more to simplify the solution.

= 2pi(3x-2)(3x-2+x+3)
= 2pi(3x-2)(4x+1)

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4 years ago

Given p(x) = x+7/3, if p(x) = 13, find x.

raketka [301]

Answer:

x = 32/3

Step-by-step explanation:

p(x) = 13

x + 7/3 = 13

x = 13 - 7/3

x = 32/3

5 0