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3 years ago

What is the domain of the function shown in this graph?

Mathematics

1 answer:

NeX [460]3 years ago

8 0

Domain is the set of x. Therefore, the domain starts from least x-value or from left side to the right side.

In the graph, it shows that the domain is from x = 1 to positive infinity.

Therefore the answer is x >= 1

or [1,+infinity) as interval.

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

4 years ago

A line passes through the points (2,4) and (5,6) . Select Yes or No to tell whether each equation describes this line. Equation

krek1111 [17]

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-4}{5-2}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=\cfrac{2}{3}(x-2)$

3 0

3 years ago

John has a job selling souvenirs on a football stadium. He earns $10 per game plus $0.25 dollars for each souvenir he sells. How

Ahat [919]

Answer:

He needs to sell 100 souvenirs

Step-by-step explanation:

We want to know the number of souveniers John has to sell

Let the number of souveniers he sold at the game be s

At a rate of $0.25 per souvenier, the amount earned on souveniers for s souveniers will be:

$0.25 \times s =0.25s$

Now, if we added this to the amount he earns per game, we will have the total $35 earned for working at one game.

Thus, mathematically:

$0.25s + 10 = 35 \\ 0.25s = 35 - 10 \\ 0.25s = 25 \\ s = \frac{25}{0.25} \\ s = 100$

7 0

3 years ago

Marc ordered a rug. He gave a deposit of 30% of the cost and will pay the rest when the rug is delivered. If the deposit was $75

ra1l [238]

Answer: Marc still owes $175

Step-by-step explanation:

Let x represent the cost of the rug.

Marc ordered a rug and gave a deposit of 30% of the cost and will pay the rest when the rug is delivered. This means that the amount of money that he deposited

for the rug is

30/100 × x = 0.3 × x = 0.3x

If the deposit was $75, it means that

0.3x = 75

x = 75/0.3 = 250

The cost of the rug is $250

The amount that Marc still owes would be

250 - 75 = $175

6 0

3 years ago

Sylvia walked 1 1/2 miles so far this morning. If she plans to wake a total of 2 1/3 miles, how far does she have to go yet?

Ghella [55]

Answer:

D)- Less than 1 Mile

Step-by-step explanation: as current= 1 1/2 Miles = 3/2 Miles

Total plans= 2 1/3= 7/3 Miles

Difference= (7/3)-(3-2)

= 5/6 Miles

4 0

3 years ago

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