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4 years ago

Can someone help me please

Mathematics

1 answer:

NikAS [45]4 years ago

6 0

Justin rides 550 kilometers
or
justin rides 17 meter

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Evaluate the expression. 3(√27−16)

Anvisha [2.4K]

Step-by-step explanation:

step 1. 3(sqr(27) - 16) sqr is the square root

step 2. 3(3sqr3 -16)

step 3. 9sqr3 - 48.

8 0

3 years ago

Ratios that are equivalent to 3:12

dexar [7]

Answer:

12:48

1:4

4:16

5:20

10:40

11:44

3 0

3 years ago

Read 2 more answers

The quotient of 17 less than four times a number and seven is the same as three times the number?

Semenov [28]

Answer:

$x=-1$

Step-by-step explanation:

The equation they are giving is:

$\frac{4x-17}{7} =3x$

Multiply both sides by 7 to get:

$4x-17=21x$

Subtract 4x from both sides to reach:

$-17=17x$

Therefore, $x=-1$ .

Hope this helps :)

5 0

3 years ago

The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev

Sladkaya [172]

Answer:

The two values of production level are:

x = 20

x = 140

Step-by-step explanation:

Let's write the Profit equation by subtracting the cost function from the revenue one:

$Profit(x)=100\,x-0.5\,x^2-(20\,x+700)\\Profit(x)=-0.5\,x^2+80\,x-700$

Now, we set to find the production level "x" to give us a profit of $ 700:

$Profit(x)=-0.5\,x^2+80\,x-700\\700=-0.5\,x^2+80x-700\\0.5\,x^2-80\,x+1400=0$

So we solve this quadratic equation using the quadratic formula:

$x=\frac{80+/-\sqrt{80^2-4(0.5)(7700)}}{2\,*\,0.5} \\x=80+/-\sqrt{3600} \\x=80\,+/-\,60$

which gives two posible solutions: x = 20, or x = 140

6 0

4 years ago

The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with standard deviation σ =0.05

Pie

Answer:

z = -0.139

The data provide evidence that this particular meets the government regulation

Step-by-step explanation:

To determine if the the data provide evidence that this particular meets the government regulation, we need to define a null and alternative hypothesis as:

H0: m = 0.3

H1: m > 0.3

where m is the population mean NOX emission.

Then, we need to find the appropriate statistic. So, taking into account that the model follows a Normal distribution with standard deviation equal to 0.05, the statistic is equal to:

$z=\frac{x-m}{s/\sqrt{n} }$

where x is the mean of the sample, m is 0.3 g/mi, s is the population standard deviation and n is the size of the sample.

Therefore, replacing x by 0.298, m by 0.3, s by 0.05 and n by 12, we get that the test statistic is:

$z=\frac{0.298-0.3}{0.05/\sqrt{12} }=-0.139$

Finally, we need to find the p-value using the normal distribution table as:

p-value = P(z > -0.139 ) = 0.4443

So, taking into account that the p-value is big value, we can conclude that we don't reject H0. It means that the data provide evidence that this particular meets the government regulation.

8 0

3 years ago