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3 years ago

15 more than three times a number is equal to 75 Also please do a step by step

Mathematics

1 answer:

Vlad [161]3 years ago

4 0

Answer:

Step-by-step explanation:

3n+15=75

three times a number is 3n. +15 is 15 more.

3n+15=75 subtract 15 from both sides to get the 3n alone

3n=60 divide by 3 to get the n by itself

n=20

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At a particular restaurant, 62% of all customers order an appetizer and 41% of all customers order dessert. If 69% of all custom

jekas [21]

Answer:

In terms of probablity (A - appetizer oredered, B - desert ordered)

P(A)=63%

P(B)=40%

P(AorB)=76%.

Using the formula:

P(AorB)=P(A)+P(B)-P(A&B) we get P(A&B)=63%+40%-76%=27% (probability we were looking for).

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2 years ago

Rick serves his community as a firefighter. he works for a full 24 hours and then is off for the next 48 hours before his next 2

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Answer: D. $24.30

Step-by-step explanation:

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3 years ago

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In a study relating the degree of warping, in mm, of a copper plate (y) to temperature in °C (x), the following summary statisti

kipiarov [429]

Answer:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

Step-by-step explanation:

Linear regression is a way "to modeling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables)".

Regression estimates are "used to describe data and to explain the relationship between one dependent variable and one or more independent variables"

The linear model is given by the following equation $Y=mx +b$ , where y is the dependent variable, x the independent variable, m the slope and b the intercept.

For this case we have the following info given:

$\sum_{i=1}^n (x_i -\bar x)^2 =98775$

$\sum_{i=1}^n (y_i -\bar y)^2 =19.4$

$\bar x =26.36$

$\bar y =0.5188$

n= 40 represent the sample size

$\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y) =796.94$

The total sum of squares is given by this formula:

$SST= \sum_{i=1}^n (y_i -\bar y)^2 =19.4$

And from the formulas for a simple regression, we need to calculate the slope for the regression like this:

$m=\frac{\sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)}{\sum_{i=1}^n (x_i -\bar x)^2}$

And if we replace the values given we have:

$m=\frac{796.94}{98775}=0.008068$

We have another useful equation in order to find the sum of squares for the regression, given by:

$SSR=m* \sum_{i=1}^n (x_i -\bar x)(y_i -\bar y)=0.008068*796.94=6.430$

And we know this equivalence:

$SST= SSR+SSE$

And solving for the sum of squares for the error we have:

$SSE=SST-SSR=19.4-6.430=12.97$

So then we have the final solutions:

The error sum of squares is SSE=12.97

The regression sum of squares is SSR=6.430

The total sum of squares is SST=19.4

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3 years ago

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the

Yuri [45]

Hi.
your answer is s=3/10m
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3 years ago

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Need help ASAP!!!!!!!

natima [27]

Answer:

Step-by-step explanation:

You can subtract normally when the square roots are the same( like in your problem) but the squares stay they same and the numbers on the outside change.

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3 years ago

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