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4 years ago

15 less than twice a number g is 19. Find g.

Mathematics

1 answer:

Helga [31]4 years ago

4 0

Answer:

Step-by-step explanation:

15 less than twice a number g is 19

2g - 15 = 19 add 15 to both sides

2g - 15 + 15 = 19 + 15

2g = 34 divdie both sides by 2

2g : 2 = 34 : 2

g = 17

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Find the domain and range of each relation. Then determine if the relation is a function. D={-2, -1, 3, 5}, R={-7 ,0 ,4} Functio

poizon [28]

Answer:

$D = \{-2,-1,3,5\}$ -- Domain

$R = \{-7,0,4\}$ -- Range

It is a function

Step-by-step explanation:

Given

$D = \{-2,-1,3,5\}$

$R = \{-7,0,4\}$

Required

State the domain and range

Determine if the relation is a function

From the question, we have the domain and range as:

$D = \{-2,-1,3,5\}$ -- Domain

$R = \{-7,0,4\}$ -- Range

Next, is to determine if the relation is a function or not.

Yes, it is a function.

The number of elements in the domain is 4

The number of elements in the range is 3

When the domain has more elements than the range, this is called a many-to-one function, and it is a valid type of function.

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3 years ago

Assume the least squares equation is ŷ = 10 + 20x. what does the value of 10 in the equation indicate?

iVinArrow [24]

10 is the initial value, found when x=0. I don't know what you are measuring by "0" and "10" here, so can't be more specific.

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4 years ago

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4 years ago

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de

inna [77]

Answer:

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

Step-by-step explanation:

Step(i):-

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let x₁ = 4

$Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65$

Let x₂ = 7

$Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85$

Step(ii):-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = P(-0.65≤Z≤0.85)

= P(Z≤0.85) - P(Z≤-0.65)

= 0.5 + A( 0.85) - ( 0.5 - A(-0.65)

= 0.5 + A( 0.85) - 0.5 +A(0.65) ( ∵A(-0.65) = A(0.65)

= A(0.85) + A(0.65)

= 0.3023 + 0.2422

= 0.5445

Final answer:-

The probability of spending between 4 and 7 days in recovery

P(4≤x≤7) = 0.5445

6 0

4 years ago

What is the standard deviation of the following data set rounded to the nearest tenth? 56 ,78 ,123 , 34, 67, 91, 20

quester [9]

Answer:

The standard deviation of the following data set is 32.2

Step-by-step explanation:

step 1

Find the mean

we have

$[56,78,123,34,67,9,20]$

Sum the data and divided by the number of elements

$[56+78+123+34+67+91+20]/7=469/7=67$

step 2

For each number: subtract the Mean and square the result

$[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]$

$[121,121,3,136,1,089,0,576,2,209]$

step 3

Work out the mean of those squared differences

$[121+121+3,136+1,089+0+576+2,209]/7=1,036$

This value is called the "Variance"

step 4

Take the square root of the variance

$standard\ deviation=\sqrt{1,036}=32.2$

6 0

3 years ago