The Henderson Toy Company is packaging clay in a container shaped like a regular square

jonny [76]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

$y = \stackrel{\stackrel{m}{\downarrow }}{2}x-5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 2 and passes through (4 , -3)

$(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y+3=2x-8\implies y=2x-11$

5 0

2 years ago

How do you multiply 0.205 x 0.234?

goldfiish [28.3K]

Answer:you multiply them? 0.205x0.234

Step-by-step explanation:

6 0

2 years ago

Directions-Write an exponential function to model each situation. Then find the value of the function after the given amount of

nignag [31]

Answer:

We can now write this is a function of time in years leading to

f

(

x

)

=

200

(

.94

)

x

f

(

5

)

≈

147

Explanation:

Firs you should consider that if its exponential then it has some form similar to

3

x

. Where we have some known part (3) and the unknown part (

x

) that we are trying to find out. Mathematically we can say it has the form

a

x

. In this case we know what the

a

is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.

Well it turns out that if you multiply some value over and over again it has this form. Example we multiply

2

⋅

2

⋅

2

⋅

2

=

2

4

. So if something doubled over time then this is what would happen.

Now the problem is that it will continue to decrease at the same rate leading to

a

⋅

(

.94

)

because only

94

%

of the population remains each year. After two years

a

⋅

(

.94

)

⋅

(

.94

)

. We can now write this is a function of time in years leading to

f

(

x

)

=

200

⋅

(

.94

)

x

f

(

5

)

≈

147

Step-by-step explanation:

8 0

1 year ago

A data set lists earthquake depths. The summary statistics are nequals300, x overbarequals5.89 km, sequals4.44 km. Use a 0.01

kirza4 [7]

Answer:

Null hypothesis $H_0:\mu=5.00km$

Alternative hypothesis $H_1:\mu\neq 5.00km$

The p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.

Step-by-step explanation:

It is given that a data set lists earthquake depths. The summary statistics are

$n=300$

$\overline{x}=5.89km$

$s=4.44km$

Level of significance = 0.01

We need to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00.

Null hypothesis $H_0:\mu=5.00km$

Alternative hypothesis $H_1:\mu\neq 5.00km$

The formula for z-value is

$z=\frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}$

$z=\frac{5.89-5.00}{\frac{4.44}{\sqrt{300}}}$

$z=\frac{0.89}{0.25634351952}$

$z=3.4719$

The p-value for z=3.4719 is 0.000517.

Since the p value is 0.000517, which is less than the significance level 0.01, therefore we reject the null hypothesis and conclude that population mean is not equal to 5.00.

6 0

3 years ago

What is the volume of this prism?

poizon [28]

Answer:

26.25 cubic inches

Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply together the lengths of all the varying side lengths. $3\frac{1}{2}\cdot5\cdot 1\frac{1}{2}=26.25$ . Hope this helps!

7 0

2 years ago

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