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N76 [4]
3 years ago
8

Graph ​ y=−5/6x−4 ​. Use the line tool and select two points on the line.

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Given equation is y=-\frac{5}{6} x-4

If we substitute x = 0, then, y = - 4.

So, (0, -4) is a point on the line.

If we substitute x = - 6, then y = 5 - 4 = 1.

So, (-6, 1) is another point on the line.

Joining (0, -4) and (-6, 1), we get the graph of the line.

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Decrease £16870 by 3% Give your answer rounded to 2 DP.
Liono4ka [1.6K]
Just do 16870 x .03 (3% as a decimal) and you'll get 506.10. Subtract that to 16870 and you'll get 16363.90.
4 0
4 years ago
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What is the numbers of π
alex41 [277]

Answer:

3.141592653589793238462643383279502884197169399375105820974944592307816406286

Step-by-step explanation:

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3 years ago
PLEASE ANSWER THIS!!!!!!
Yakvenalex [24]

Answer:

the last one

Step-by-step explanation:

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3 years ago
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
Please help me with the following questions. Thanks in advance!!
Orlov [11]

Answer:

Step-by-step explanation:

Eight

590 = 1800 e^(-0.4t)     Divide by 1800

0.32778 = e^(-0.4t)       Put the value for e in the denominator.

0.32778 = 1 / e^(0.4t)   Notice the sign's gone. Multiply both sides by e^(0.4t)

0.32778 *e^(0.4t) = 1    Divide by 0.32778

e^(0.4t) = 3.0508          Take the natural log of both sides.

0.4t = 1.11542                 Divide both sides by 0.4

t = 2.78855

You should put this in the original equation to see if it checks. It does.

=============================

Nine

3^(3 - 3x) + 6 = 42         Subtract 6 from both sides

3^(3 - 3x) = 36               Take the log of both sides.

(3 - 3x) ln(3) = ln 36

(3 - 3x) *1.098612 = 3.58352   Divide by 1.098612

3 - 3x = 3.26186             Subtract 3 from both sides

- 3x = 0.26186                 Divide by - 3

x = - 0.087287    

4 0
3 years ago
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