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ANTONII [103]
3 years ago
7

Please help me thank you

Mathematics
1 answer:
laila [671]3 years ago
6 0
Parallel lines have the same slope. The equation of the parallel line is therefore:

y = x + b

Plug in the values you are given to find b:

2 = -3 + b

b = 5
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A study was recently conducted to estimate the mean cholesterol for adult males over the age of 55 years. From a random sample o
Komok [63]

Answer:  Correct critical value = 2.2622

Step-by-step explanation:

Confidence interval for population mean when population standard deviation is unknown:

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}} , where \overline{x} = sample mean, n= sample size, s= sample standard deviation, t_{\alpha/2} = two-tailed t value.

As per given: n= 10

degree of freedom : df = n-1=9

\overline{x}=242.6\\\\s=73.33\\\\\alpha=5\%=0.05

Critical t-value : t_{\alpha/2,df}=t_{0.05/2,9}=t_{0.025,9}=2.2622

So, the 95 percent confidence interval estimate for the​ mean :

242.6\pm (2.2622)\dfrac{73.33}{\sqrt{10}}\\\\=242.6\pm (2.2622)(23.19)\\\\\approx242.6\pm52.46\\\\=(242.6-52.46,\ 242.6+52.46)\\\\=(190.14,\ 295.06)

The 95 percent confidence interval estimate for the​ mean:(190.14, 295.06)

8 0
3 years ago
If M is between S and T, SM = 9x - 8,<br> MT = 2x + 3, and ST = 72. Find x.
kolezko [41]

Answer:

7

Step-by-step explanation:

Since, M is between S and T.

Therefore, SM + MT = ST

9x- 8 + 2x + 3 = 72

11x - 5 = 72

11x = 72 + 5

11x = 77

x = 77/11

x = 7

3 0
3 years ago
158÷37 show work need help
denis-greek [22]
Here’s a pic of my work, it shows that the numbers 2,7,0 repeat.

Hope this helps!! :)
8 0
3 years ago
Theresa pays $9.56 for 4 pounds of tomatoes. What is the cost of 1 pound of tomatoes?
photoshop1234 [79]

Answer:

$2.39

Step-by-step explanation:

to find the cost of 1 pound , divide the cost of 4 pounds by 4

$9.56 ÷ 4 = $2.39

8 0
2 years ago
If the dimensions of a square based pyramid are tripled what happens to the volume?
11Alexandr11 [23.1K]
Plug in numbers. if originally, it was V=1/2 * 1 * 1 * 2=1 

<span>tripling the dimensions would be V=1/2 * 3 * 3 * 6=27 </span>

<span>it would be 27 times larger. this could also be found by 3^3, just as doubling would render 2^3

</span>
7 0
3 years ago
Read 2 more answers
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