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3 years ago

Easy question in photo

Mathematics

2 answers:

Alex3 years ago

8 0

Answer:

14

Step-by-step explanation:

always subtract the highest number from the lowest and I believe that is your range

olga_2 [115]3 years ago

3 0

Answer:

Step-by-step explanation:

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Micah deposited $4000 between two savings account. One account earns 4% simple interest each year. The other account earns 2% si

N76 [4]

Answer:

Step-by-step explanation:

$3000 * 0.04 = $120

$100 * 0.02 = $20

total 2 accounts = $120 + $20 = $140

answer: $3000 was the originally deposited into the account that pays 4% interest.

6 0

3 years ago

Morgan moves no more than 26 of her sheep and goats into another field. Fewer than 14 of her animals are sheep.Let s represent t

GenaCL600 [577]

Let
s-------> represent the number of sheep
g-------> represent the number of goats

we know that
1) Morgan moves no more than 26 of her sheep and goats into another field
so
(s+g) ≤ 26------> inequality 1

2) Fewer than 14 of her animals are sheep
so
s < 14-------> inequality 2

therefore

the answers are
B.) s < 14
D.) s + g ≤ 26

3 0

3 years ago

Arm Span(x) Height(y)

natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

$a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}$

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

$\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}$

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in should have a height of about $\large \boxed{\textbf{66 in}}$}$

(ii) Arm span of 74 in tall person

$\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}$

6 0

3 years ago

6x²-13x=-6 Solve the equation using the quadratic formula

nalin [4]

Answer:

x=2/3, x=3/2

Step-by-step explanation:

6x^2-13x=-6

6x^2-13x+6=0

6x^2-4x-9x+6=0

2x*(3x-2)-3(3x-2)=0

(3x-2)8(2x-3)=0

3x-2=0

2x-3=0

x=2/3

x=3/2

6 0

3 years ago

Roll a 1-6 number cube twice. Probability of a 6 both times

avanturin [10]

1/36 because there are 6 sides and the you are trying to figure out what the probiblity of rolling 1 out of 6 is

8 0

3 years ago