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2 years ago

The low temperature on a certain day is 51°F. The low temperature is 17°F lower than the high temperature, h.

1 answer:

5 0

Using the change of subject of formula, the high temperature value for the day can be modeled using the expression High temperature = Low temperature - 17°F

Giveb the Parameters :

Low temperature = 51°F

The low temperature is 17°F lower than the high temperature, this can be modeled as an equation thus :

Low temperature = High temperature + 17°F

Male the high temperature the subject :

High temperature = Low temperature - 17°F

Therefore, the equation which models the high temperature is : High temperature = Low temperature - 17°F

Learn more :brainly.com/question/25449918

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What is the slope??????

nikitadnepr [17]

Answer: The slope is 1/4.

Step-by-step explanation:

To find the slope, find two points on the line and find the difference in their y coordinates and divide it by the difference in their x coordinates .

(0,20) and (40,30)

Difference in y: 30 - 20 = 10

Difference in x: 40 - 0 = 40

Slope: 10/ 40 = 1/4

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3 years ago

Martin ran 6.5 miles in one hour. At that speed, how many miles will he three hours?

NNADVOKAT [17]

ANSWER: Martin will run 19.5 miles in 3 hours.

STEP-BY-STEP EXPLANATION: 6.5 x 3 = 19.5

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3 years ago

Read 2 more answers

A five-digit number starts with a number between 4-9 in the first position, with no restrictions on the remaining 4 digits. a

Maurinko [17]

Answer:

(a) $Pr = 0.3024$

(b) $Pr = 0.6976$

Step-by-step explanation:

Given

$Start = \{5,6,7,8\}$ i.e. between 4 and 9

$n(Start) =4$

$Digits = 5$

Solving (a): Probability that each of the 5 digit are different

Since there is no restriction;

The total possible selection is as follows:

$First\ digit = 4$ (i.e. any of the 4 start digits)

$Second\ digit = 10\\$ (i.e. any of the 10 digits 0 - 9)

$Third\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

$Fourth\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

$Fifth\ digit = 10$ (i.e. any of the 10 digits 0 - 9)

So, the total is:

$Total = 4 * 10 * 10 * 10 * 10$

$Total = 40000$

For selection that all digits are different, the selection is:

$First\ digit = 4$ (i.e. any of the 4 start digits)

$Second\ digit = 9$ (i.e. any of the remaining 9)

$Third\ digit = 8$ (i.e. any of the remaining 8)

$Fourth\ digit = 7$ (i.e. any of the remaining 7)

$Fifth\ digit = 6$ (i.e. any of the remaining 6)

So:

$Selection =4 * 9 * 8 * 7 * 6$

$Selection =12096$

So, the probability is:

$Pr = \frac{Selection}{Total}$

$Pr = \frac{12096}{40000}$

$Pr = 0.3024$

Solving (b): At least 1 repeated digit

The probability calculated in (a) is the all digits are different i.e. P(None)

So, using laws of complement

We have:

$P(At\ least\ 1) = 1 - P(None)$

So, we have:

$Pr= 1 - 0.3024$

$Pr = 0.6976$

Solving (c): An expression to model the probability.

Using (a) as a point of reference, we have;

$Pr = \frac{Selection}{Total}$

Where

$Selection =4 * 9 * 8 * 7 * 6$ ---- for selection of 5 i.e. n = 5

$Total = 4 * 10 * 10 * 10 * 10$

$Selection =4 * 9 * 8 * 7 * 6$

This can be rewritten as:

$Selection = 4 * ^9P_4$

4 can be expressed as: 5 - 1

So, we have:

$Selection = (5-1) *^9P_{5-1}$

Substitute n for 5

$Selection = (n-1) *^9P_{n-1}$

$Selection = (n-1)^9P_{n-1}$

$Total = 4 * 10 * 10 * 10 * 10$

This can be rewritten as:

$Total = 4 * 10^4$

$Total = (5-1) * 10^{5-1}$

$Total = (n-1) * 10^{n-1}$

$Total = (n-1) 10^{n-1}$

So, the expression is:

$Pr = \frac{(n-1)^9P_{n-1}}{(n-1)10^{n-1}}$

$Pr = \frac{^9P_{n-1}}{10^{n-1}}$

Where n represents the digit number

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3 years ago

What is the value of x in the equation 2(x−3) 9=3(x 1) x? x = −3 x = −1 x = 0 x = 3

Masja [62]

The solution of the linear equation is x = 0.

<h3>What is the linear equation?</h3>

An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression.

Linear equations are the equations of degree 1.

The given linear equation is;

$\rm 2(x-3)+ 9=3(x+ 1) +x$

The value of x is determined in the following steps given below. $\rm 2(x-3)+9=3(x+1)+x\\\\2x-6+9=3x+3+x\\\\\ 2x+3=4x+3\\\\3-3=4x-2x\\\\0=2x\\\\x=0$

Hence, the solution of the linear equation is x = 0.

To know more about linear equations click the link given below.

brainly.com/question/5085290

8 0

2 years ago

fred is playing tennis fo every 2 of his serves that land in 4 serves land out if he hit 26 serves in how many serves landed out

ki77a [65]

Answer:

52 serves landed out

Explanation:

If you divide the number of serves in by 2 ( number that he lands in for every 6 serves) and then multiply by 4 ( number that land out for every 6 serves), you get 52 serves out.

3 0

3 years ago