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3 years ago

The ratio x:y is equal to 2:3 express x in terms of y

Mathematics

2 answers:

Sidana [21]3 years ago

8 0

X=2/3*y

X/y=2/3
X=2/3*y. According to Pemdas and isolating the variable

choli [55]3 years ago

7 0

Answer:

x = $\frac{2}{3}$ y

Step-by-step explanation:

Given x : y = 2 : 3

Express the ratios as a fraction, that is

$\frac{x}{y}$ = $\frac{2}{3}$ ( cross- multiply )

3x = 2y ( divide both sides by 3 )

x = $\frac{2}{3}$ y

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A sample size must be determined for estimating a population mean given that the confidence level is % and the desired margin o

Sauron [17]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$n =290$

$n =129$

The correct option is D

Step-by-step explanation:

From the question we are told that

The margin of error is $E = 0.23$

The largest value is k = 15

The smallest value is u = 7

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally population standard deviation estimate is mathematically represented as

$\sigma = \frac{Range }{4}$

Here the Range is mathematically represented as

$Range = k - u$

=> $Range = 15 - 7$

=> $Range = 8$

=> $\sigma = \frac{8 }{4}$

=> $\sigma = 2$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 2 }{0.23} ] ^2$

=> $n =290$

Generally to obtain a conservatively small sample size the population standard deviation estimate becomes

=> $\sigma = \frac{Range }{6}$

=> $\sigma = \frac{8 }{6}$

=> $\sigma =1.333$

Generally the conservatively small sample size is mathematically evaluated as

$n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2$

=> $n = [1.96 * 1.333 }{0.23} ] ^2$

=> $n =129$

6 0

3 years ago

Consider the explicit formula A(n) = 3/2 + 1/2(n-1) 1a : Write the formula in function notation.

aleksandr82 [10.1K]

Answer:

i don't know this one!

Step-by-step explanation:

sorry!

6 0

3 years ago

(30)Points Which Statement is true A, B. C. D.

Rom4ik [11]

Answer:

The first answer one is true

6 0

3 years ago

Write each polynomial in standard form. Then give the leading coefficient. You may need to combine like terms before writing the

Bond [772]

Step-by-step explanation:

To write a polynomial in standard form, put the degree that are the greatest first

So here it would be

${x}^{5} + 4 {x}^{3} - 3 {x}^{2} + 10$

Remember constant are numbers that you learned back in elementary,

Numbers like 10,90,4,1,0,-3 etc.

Remember that constant are basically represented like this

$k \times {x}^{0}$

For example, 10 is represented like

$10 \times {x}^{0}$

Since 0 is the smallest degree possible, for a polynomial, constants are the last term of a polynomial in standard form

6 0

2 years ago

Ahab needs to mix 3.5 cups of liquid iced tea concentrate with 3 cups of water to make iced tea. Ahab has 21 cups of iced tea co

liraira [26]

Answer:

39 cups

Step-by-step explanation:

If we assume that the 3.5 cups of concentrate make 3.5+3 = 6.5 cups of tea, we can use the proportion ...

6.5/3.5 = x/21

to find the x cups of tea Ahab can make with 21 cups of concentrate.

Multiplying by 21, we get ...

x = 21(6.5/3.5) = 39

Ahab can make 39 cups of tea.

4 0

3 years ago