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Finger [1]
3 years ago
14

Evaluate the expression for x=5, y=3,and z=1/4. 5x−6y+20z/4yz

Mathematics
2 answers:
Anna11 [10]3 years ago
4 0
Just substitute each number into the expression:
5(5) - 6(3) + 20(1/4)/4(3)(1/4) = 25 - 18 + 5/3 = 7 + 5/3 = 26/3 or 8 and 2/3.
Semmy [17]3 years ago
3 0
5 * 5 - 6 * 3 + 20 * 1/4 / 4 * 3 * 1/4 = 7.9 i think its right 
hope this helped
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What is the 8th term in the sequence? 1, 2, 4, 7​
MAVERICK [17]

Answer: 29

explanation: you add 1 to get 2, you then add 2 to get 4, then 3 to get to 7, then 4 to get to 11, then 5 to get to 16, then 6 to get to 22, then 7 to get to 29

8 0
3 years ago
A news report states that the 99% confidence interval for the mean number of daily calories consumed by participants in a medica
expeople1 [14]

Answer:

The sample mean is of 1925 calories.

The margin of error is of 75 calories.

The sample standard deviation is of 109.7992 calories.

Step-by-step explanation:

Sample mean:

The sample mean is the mean value of the two bounds of the confidence interval. So

M = \frac{1850 + 2000}{2} = 1925

The sample mean is of 1925 calories.

The margin of error

Difference between the bounds and the sample mean. So

2000 - 1925 = 1925 - 1850 = 75 calories.

The margin of error is of 75 calories.

Sample standard deviation:

Here, I am going to expand on the t-distribution.

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 = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.898

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

Since M = 75, T = 2.898, n = 18

M = T\frac{s}{\sqrt{n}}

75 = 2.898\frac{s}{\sqrt{18}}

s = \frac{75\sqrt{18}}{2.898}

s = 109.7992

The sample standard deviation is of 109.7992 calories.

6 0
2 years ago
Work out the size of angle x
Nikitich [7]

Answer:

x=129

Step-by-step explanation:

180-51=129

5 0
3 years ago
The graph of f(x) = x3 + x2 - 9x - 9 is shown.
AysviL [449]

Answer:

-1, 3, -3

Step-by-step explanation:

I don't see the graph, but you can solve by factoring:

x^3+x^2-9x-9=0\\x^2(x+1)-9(x+1)=0\\(x+1)(x^2-9)=0\\(x+1)(x+3)(x-3)=0

By the factor theorem, the solutions of f(x) are -1, 3, and -3.

6 0
3 years ago
Read 2 more answers
Simplify 17d - 5e + 3e - 15d.
Keith_Richards [23]
First combine like terms

you get

2d- 2e

hope this helps
7 0
3 years ago
Read 2 more answers
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