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Alenkinab [10]
2 years ago
8

Can someone please help me with these math problems please!

Mathematics
1 answer:
mr_godi [17]2 years ago
8 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Rearrange the equation so x is the independent variable. y+6=5(x-4)
soldier1979 [14.2K]

Answer:

x = (y + 26)/5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

y + 6 = 5(x - 4)

Step 2: Distribute

y + 6 = 5x - 20

Step 3: Isolate <em>x</em>

y + 26 = 5x

Step 4: Isolate variable <em>x</em>

(y + 26)/5 = x

Step 5: Rewrite

x = (y + 26)/5

7 0
3 years ago
In a random sample of 9 residents of the state of Florida, the mean waste recycled per person per day was 2.4 pounds with a stan
alina1380 [7]
<h2>Answer with explanation:</h2>

When the sample size is small (< 30) and the population standard deviation is unknown , then we use t-test.

The confidence interval for population mean will be :

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}   (1)

, where \overline{x} = sample mean

t* = Critical value (based on degree of freedom and significance level).

s= sample standard deviation

n= sample size.

As per given we have

n= 9

Degree of freedom = n-1 = 8

\overline{x}=2.4

s= 0.75

Significance level =\alpha=1-0.80=0.20

Using students' t distribution table ,

Critical value : t^*=t_{\alpha/2,df}=t_{0.10,8}=1.3304

We assume that the population is approximately normal.

Then, a 80% confidence interval for the mean waste recycled per person per day for the population of Florida will be :

2.4\pm (1.3304)\dfrac{0.75}{\sqrt{8}}   (Substitute the values in (1))

2.4\pm (1.3304)\dfrac{0.75}{2.82842712475}

2.4\pm (1.3304)(0.265165042945)

2.4\pm 0.352775573134\approx2.4\pm0.353=(2.4-0.353,\ 2.4+0.353)=(2.047,\ 2.753)

Hence, the 80% confidence interval for the mean waste recycled per person per day for the population of Florida. = (2.047, 2.753)

4 0
3 years ago
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