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2 years ago

Which equations are correct? select each correct answer. 8x3(3x2)=24x6 4x3(6x2)=24x6 6b3(−2b3)=−12b6 3a3(−3a4)=−9a7?

2 answers:

7 0

8x3(3x2)=24x6 = True
4x3(6x2)=24x6 = True
6b^3(−2b3)=−12b^6 = Ture
3a^3(−3a^4)=−9a^7 = True

They are all correct

Lelechka [254]2 years ago

4 0

I just took the test all of the equations are true.

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A train station has installed a system for determining whether bags contain explosives. It has a 95% chance of correctly identif

astraxan [27]

Answer:

a) P(identified as containing explosives)=P(actually contains explosives and identified as containing explosives)+P(actually not contains explosives and identified as containing explosives)

=(10/(4*106))*0.95+(1-10/(4*106))*0.005 =0.005002363

hence probability that it actually contains explosives given identified as containing explosives)

=(10/(4*106))*0.95/0.005002363=0.000475

let probability of correctly identifying a bag without explosives be a

hence a =0.99999763 ~ 99.999763%

No as even if that becomes 1 ; proportion of true explosives will always be less than half of total explosives detected,

3 0

2 years ago

A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 1 centimeter. On top it has a cone-shaped tip

bezimeni [28]

We know that

step 1
find the volume of a cylinder

volume of a cylinder=pi*r²*h
where
h=13 cm
r=1 cm
volume of a cylinder=pi*1²*13----> 13*pi cm³

step 2
find the volume of a cone

volume of a cone=(1/3)*pi*r²*h
where
r=1 cm
h=3 cm
volume of a cone=(1/3)*pi*1²*3-----> pi cm³

step 3
find the volume of the laser pointer

volume of the laser pointer=volume of a cylinder+volume of a cone
volume of the laser pointer=13*pi+pi-----> 14*pi cm³

the answer is
volume of the laser pointer is 14*pi cm³

4 0

2 years ago

Ronald owns a fish tank on thr shape of a rectangular box. The tank is 18 inches high, 14 inches deep, and 30 inches long. Ronal

mash [69]

Answer: $2,004\ in^2$

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width.

Based on the information given in the exercise, you can draw the fish tank attached, where the dimensions are: 18 inches high ( $h=18\ in$ ), 14 inches deep ( $w=14\ in$ ), and 30 inches long ( $l=30\ in$ ).

The area that was convered will be the sum of the areas of all the faces, but the top of the tank.

Therefore, the area that was convered is the following:

$A=(30\ in)(18\ in)+(30\ in)(18\ in)+(18\ in)(14\ in)+(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2(30\ in)(18\ in)+2(18\ in)(14\ in)+(30\ in)(14\ in)\\\\A=2,004\ in^2$

5 0

2 years ago

Line q will be graphed on the same grid. The only solution to the system of linear equations formed by lines n and q occurs when

bija089 [108]

Answer:

$f(x) = k(x - \frac{3}{2})$

Step-by-step explanation:

Line q will be graphed on the same grid. The only solution to the system of linear equations formed by lines n and q occurs when x = $\frac{3}{2}$ and y = 0.

Now, as x = $\frac{3}{2}$ is a solution of the equation, y = f(x) = 0, so, $(x - \frac{3}{2})$ will be a factor of the linear function y = f(x).

Therefore, we can write the possible equation for the line q will be

$f(x) = k(x - \frac{3}{2})$ . (Where k is any constant} (Answer)

8 0

2 years ago

Kiley gathered the data in the table. She found the approximate line of best fit to be y = 1.6x – 4. A 2-column table with 5 row

Dimas [21]

Answer:

The residual value is -1.8 when x = 3

Step-by-step explanation:

We are given the following table

x | y

0 | -3

2 | -1

3 | -1

5 | 5

6 | 6

Residual value:

A residual value basically shows the position of a data point with respect to the line of best fit.

The residual value is calculated as,

Residual value = Observed value - Predicted value

Where observed values are already given in the question and the predicted values are calculated by using the equation of line of best fit.

$y = 1.6x - 4$

When we substitute x = 3 in the above equation then we would get the predicted value.

$y = 1.6x - 4 \\\\y = 1.6(3) - 4 \\\\y = 4.8 - 4 \\\\y = 0.8$

So the predicted value is 0.8

From the given table, the observed value corresponding to x = 3 is -1

So the residual value is,

Residual value = Observed value - Predicted value

Residual value = -1 - 0.8

Residual value = -1.8

Therefore, the residual value is -1.8 when x = 3

Note: A residual value closer to 0 is desired which means that the regression line best fits the data.

5 0

2 years ago

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