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2 years ago

Natalie is a lab technician and earns $10.65 per hour. What are her wages for 40 hours?

Mathematics

1 answer:

FrozenT [24]2 years ago

8 0

$ 426. I’m pretty sure. If it’s 10.65 per hour then just multiply that by 40 to find the wage

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During their last game, the Miami Dolphins scored ͸ times for a total score of ͵Ͳ points. They scored ͹ points for each touchdow

Karolina [17]

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

$x+y=6$

$x=6-y$ ....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

$7x+3y=30$ ...(2)

Put the value of x from equation (1) into equation (2).

$7( 6-y)+3y=30$

$42-7y+3y=30$

$-4y=30-42$

$-4y=-12$

$y=3$

Put y = 3 in equation 1.

$x=6-3$

$x=3$

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

4 0

2 years ago

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

The interval from the sample of size 400 will be approximately One -half as wide as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

$E = \frac{k}{\sqrt{n} }$

=> $E \sqrt{n} = K$

=> $E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2$

So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

=> $E_1 = \frac{1}{2 } E_2$

So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100

7 0

2 years ago

Can some one please help me

saw5 [17]

Basically, all you have to do is substitue the terms given at the top.

x = -3

y = 6

z = -4

The first one will be set up like this:

(-3) + 6 + (-1) = 2

The second one will be set up like this:

-15 + (- -3) + 6 = -6

The third one will be set up like this:

3(-3) - 2(6) + (-4) = -25

The fourth one will be set up like this:

2(-4) - 3 (6) + 4(-3) = -38

The fifth one will be set up like this:

3 ( -3) + 2 (6) + (-4) = -1

The sixth will be set up like this:

(-3)(-4)

---------- = -1

-2 (6)

The seventh will be set up like this:

2 (6) (-4) - 3 (-3) = -39

Hope this helps! Have a good day/night! c:

6 0

2 years ago

The following proportion could be used to change from gallons to which measure.

antoniya [11.8K]

Answer:

C. quarts

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

NEED ANSWER ASAP!!! (EASY)

Nata [24]

3000(0.25)=750

C is correct. Hope this helps!

4 0

2 years ago

Read 2 more answers