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3 years ago

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Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

Answer:

A proportional relation is a logical relation that establishes a range of conditional relations that together involve direct or inverse correlation.

Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

I have to make sure that there is at least one variable that directly effects another.

Some equations are y = 3x, y = 1.5x, and y = 2/3x.

Step-by-step explanation:

Read more about expressions at

brainly.com/question/723406

#SPJ1

5 0

1 year ago

An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t

7nadin3 [17]

Answer:

The test statistics is $t = -1.7$

The Null and Alternative hypothesis are

$H_o : \mu = 47.2$ and $H_a : \mu \ne 47.2$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 47.2 miles/gallon(MPG)$

The sample size is $n = 250 \ van$

The sample mean is $\= x = 47.0$

The sample standard deviation is $\sigma = 1.9$

The level of significance is $\alpha = 0.02$

Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then

The Null Hypothesis is

$H_o : \mu = 47.2$

The alternative Hypothesis is

$H_a : \mu \ne 47.2$

The test statistics can be mathematically evaluated as

$t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }$

$t = -1.7$

7 0

3 years ago

QUESTION 3: POCKET MONEY Mr Reyan made an agreement with his son Smith who is studying in grade 12 as follows. Smith will get po

const2013 [10]

The formula for obtaining the value of a term of a sequence is given as a

as a recursive formula.

Responses:

The information as a sequence is; R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

The sequence of the information is a geometric sequence

<h3>How is the given information expressed as a sequence?</h3>

The amount of pocket money Smith gets = 2 × The amount he gets in the previous day

The amount Smith gets on the first day = R1

Required:

The given information expressed as a sequence.

Solution:

The amount of money smith gets can be expressed as follows;

Amount he gets on day 1 = R1

On day 2, R2 = 2·R1

On day 3, R3 = 2·R2 = 2·2·R1 = 4·R1

On day 4, R4 = 2·R3 = 2·2·2·R1 = 8·R1

On day 5, R5 = 2·R4 = 2·2·2·2··R1 = 16·R1

The information written as a sequence is therefore;

R1, 2·R1, 4·R1, 8·R1, 16·R1, ...

The type of sequence is a<u> geometric sequence, or progression</u> where the first term is R1, and the common ratio, r = 2

Learn more about geometric sequence here:

brainly.com/question/4289731

brainly.com/question/1532378

8 0

2 years ago

In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint

cricket20 [7]

try it on

https://www.wolframalpha.com it will helpp you for the math problem :)

5 0

3 years ago

The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2. Victor has 42 more tools than Ilya. How many too

irga5000 [103]

Answer:

Victor gives 28 tools to IIya.

Step-by-step explanation:

Consider the provided information

The ratio of the number of Victor’s tools to the number of Ilya’s tools is 5:2

Let V represents the Victor and I represent llya

Therefore,

$\frac{V}{I} = \frac{5}{2}$

It is given that Victor has 42 more tools than Ilya.

$\frac{V}{I} = \frac{5}{2}=\frac{42+I}{I}$

Solve the above equation.

$\frac{5}{2}=\frac{42+I}{I}$

$5I=84+2I$

$3I=84$

$I=28$

Thus, IIya has 28 tools.

Victor has 42 more tools than Ilya. Therefore 42 + 28 = 70.

Victor has 70 tools.

We want to find the number of tools victor needs to give to IIya so that the ratio of the number of Victor's tools to the number of Ilya’s tools will be 3:4

Let Victor gives x tools to IIya. Thus,

$\frac{3}{4}=\frac{70-x}{28+x}$

$3(28+x)=4(70-x)$

$84+3x=280-4x$

$7x=196$

$x=28$

Hence, Victor gives 28 tools to IIya.

4 0

3 years ago