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2 years ago

What fraction is equivalent to 1.5/9

Mathematics

1 answer:

tekilochka [14]2 years ago

6 0

Answer:

1.5/9 = 1 1/2 / 9 = 3/2 /9 = 3/18 = 1/6

Step-by-step explanation:

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What’s the measures of the indicated angles

34kurt

Answer:

hope the attached picture gives the answers

6 0

2 years ago

The total stopping distance T for a vehicle is T = 2.5x + 0.5x 2 , where T is in feet and x is the speed in miles per hour. Appr

Kobotan [32]

Answer:

% change in stopping distance = 7.34 %

Step-by-step explanation:

The stooping distance is given by

$T = 2.5 x + 0.5 x^{2}$

We will approximate this distance using the relation

$f (x + dx) = f (x)+ f' (x)dx$

dx = 26 - 25 = 1

T' = 2.5 + x

Therefore

$f(x)+f'(x)dx = 2.5x+ 0.5x^{2} + 2.5 +x$

This is the stopping distance at x = 25

Put x = 25 in above equation

2.5 × (25) + 0.5× $25^{2}$ + 2.5 + 25 = 402.5 ft

Stopping distance at x = 25

T(25) = 2.5 × (25) + 0.5 × $25^{2}$

T(25) = 375 ft

Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft

% change in stopping distance = $\frac{27.5}{375}$ × 100

% change in stopping distance = 7.34 %

6 0

2 years ago

Two students wanted to race 100 yards across a football field. How many feet will they run? (

Molodets [167]

Answer:

300 feet

Step-by-step explanation:

6 0

2 years ago

. The estimate regression equation for a model involving two independent variables and 10 observations follows.y = 29.1270 + 0.5

beks73 [17]

Answer:

b) y = 289.815 when $x_1 = 180 \text{ and } x_2 = 310$

Step-by-step explanation:

We are given the following information in the question:

$y = 29.1270 + 0.5906x_1 + 0.4980x_2$

where y is the dependent variable,

$x_1, x_2$ are the independent variable.

The multiple regression equation is of the form:

$y = b_0 + b_1x_1 + b_2x_2$

where,

$b_0$ : is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.

$b_1$ : It is the slope coefficient of the independent variable $x_1$ .

$b_2$ : It is the slope coefficient of the independent variable $x_2$ .

The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.

Comparing the equations, we get:

$b_1 = 0.5906\\b_2 = 0.4980$

This means holding $x_2$ constant, a change of one in $x_1$ is associated with a change of 0.5906 in the dependent variable.

This means holding $x_1$ constant, a change of 1 in $x_2$ is associated with a change of 0.4980 in the dependent variable.

b) We have to estimate the value of y

$y = 29.1270 + 0.5906(180) + 0.4980(310) = 289.815$

3 0

2 years ago

Find a8 in the arithmetic sequence with a1=-7 and d=0.5

gavmur [86]

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=-7\\
d=0.5\\
n=8
\end{cases}
\\\\\\
a_8=a_1+(8-1)d\implies a_8=-7+(8-1)(0.5)$

and surely you know how much that is.

3 0

3 years ago