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Nimfa-mama [501]
3 years ago
10

An anatomy model of an adult human is 7 inches tall. Most adult humans are between 5 feet and 6 feet tall. What is the approxima

te scale factor of the model?
A.
1
20
1
20
B.
1
10
1
10
C.
10

D.
20
Mathematics
1 answer:
hjlf3 years ago
6 0

Answer:

B

Step-by-step explanation:

There are 12 inches in 1 feet, so

5 feet = 5 * 12 = 60 inch

6 feet = 6 * 12 = 72 inch

So, we can say most adult humans are between 60 to 72 inches tall

The model is 7 inches tall. So, from the answer choices, 7 * 10 = 70 [the number that is in between 60 to 72]. Thus we can take the model to be 1/10th of the original.

So the scale factor is 1/10, or option B

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Three classes at a school have 18, 24, and 27 students. All three will be divided into project groups. Each group must have the
VLD [36.1K]

Answer:

The largest possible group size is 3 students.

Step-by-step explanation:

The greatest common factor (GCF) of the numbers 18, 24, and 27 is 3. That is, the largest number that can be divided into all three numbers.

5 0
3 years ago
Find x.<br> A) 3 <br> B) 4 <br> C) 5 <br> D) 6
Alinara [238K]

Answer:

hbstfhgsrth

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Given the function f(x) = 3x + 1, evaluate f(a + 1). <br> A. 3a + 1 <br> B. a + 2<br> C. 3a + 4
Aleks [24]

Answer:

Given the function f(x) = 3x + 1, evaluation of f(a + 1) gives:  

C. 3a + 4

Step-by-step explanation:

Given function:

f(x) = 3x + 1

We have to find f(a+1).

For this purpose, we will take x = a+1 and

substitute it in the function f(x) = 3x+1:

f(x) = 3x + 1

f(a+1) = 3(a+1) +1

f(a+1) = 3(a) + 3(1) +1

f(a+1) = 3a+3+1

f(a+1) = 3a + 4

So the function f(a+1) is equal to option C. 3a + 4.

5 0
2 years ago
Jennifer makes 1.7 liters lemonade. If she pours 3 tenths of the lemonade in the glas,how many liters of lemonade are in the gla
german
You need to set up a portportation to solve this question to do so you need to know that 3 tenths is 30% so you can do:

30/100 = x/1.7

So now you cross multiply doing 30X17=510
Finially X=510/100
Simpified Answer is 5.1 liters
4 0
3 years ago
Read 2 more answers
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

6 0
3 years ago
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