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mariarad [96]
2 years ago
15

3) James earned a total of $900 last week. He worked for 5 hours at his usual rate, then earned a bonus of $20 for each hour tha

t he worked. What is James' hourly rate?​
Mathematics
1 answer:
agasfer [191]2 years ago
3 0

Answer:

$160 hourly rate

Step-by-step explanation:

20 x 5 = 100

900 - 100 = 800

800 ÷ 5 = 160

To check: Multiply 160 by 5 and then add 100

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To help consumers assess the risks they are​ taking, the Food and Drug Administration​ (FDA) publishes the amount of nicotine fo
Anni [7]

Answer:

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.8595

The margin of error is:

M = T*s = 1.8595*2.7 = 5

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 25.3 - 5 = 20.3 milligrams

The upper end of the interval is the sample mean added to M. So it is 25.3 + 5 = 30.3 milligrams.

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

7 0
3 years ago
Pls help i need to pass
Phoenix [80]

Answer:

d x=+-3

Step-by-step explanation:

divide both sides by 2

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST ASAPP!!!!!
Mademuasel [1]

Step-by-step explanation:

Applying rules of exponents to solve the given problems;

    4^3 x 4^5 =

    5^8 ÷ 5^-2 =

     (6^3 ) ^ 4 =

For these problems, the applicable rules of exponents are;

      aᵇ x aⁿ  = aᵇ⁺ⁿ

      aᵇ  ÷ aⁿ = aᵇ⁻ⁿ

       (aᵇ)ˣ  = aᵇˣ

For the first problem; 4³ x 4⁵

     aᵇ x aⁿ  = aᵇ⁺ⁿ

      4³ x 4⁵  = 4³⁺⁵   = 4⁸

   Second problem: aᵇ  ÷ aⁿ = aᵇ⁻ⁿ

      5⁸ ÷ 5⁻²  = 5⁸⁻⁽⁻²⁾  = 5⁸⁺²  = 5¹⁰

    Third problem;  (aᵇ)ˣ  = aᵇˣ

       (6³)⁴  = 6³ˣ⁴  = 6¹²

5 0
3 years ago
Read 2 more answers
the value in dollars, v(x), of a certain truck after x years is represtented by the equation v(x)=32500(0.92)* ( *=to the x powe
vekshin1
The value of track is given by:
V(x)=32500(0.92)^x
when x=2
V(2)=32500(0.92)^2=$27508

when x=3
V(3)=32500(0.92)^3=$25,307.36

Difference in values will be:
27508-25307.36
=$2,200.64 

3 0
3 years ago
F(x) = 4x-5; f(-2)<br> please help
Firdavs [7]

Answer:

f(x)=-13

Step-by-step explanation:

Substitute x with -2

4 times -2 is -8

-8-5 is -13

Thus f(x)=-13

Hope this helps!

5 0
3 years ago
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