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NemiM [27]
3 years ago
8

Can someone please help

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

Point slope form is

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

Plugging in the given values:-

y -  1.4 = 1.8(x - (-4.5))

y - 1.4 = 1.8(x + 4.5)   So the correct choice is A.

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Wholesale cost of a telescope: $199.50; Markup: 50%, Discount: 30%,
kupik [55]

Answer:

$2147.85

Step-by-step explanation:

199.5*.5=99.75

199.5+99.75=299.25

299.25*.3=89.775

299.25-89.775=209.475

209.475*.04=8.279

209.475+8.379=217.854

7 0
3 years ago
In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour
Lesechka [4]

Answer:

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=54 represent the sample mean  

\mu population mean (variable of interest)

\sigma=21 represent the sample standard deviation

n=16 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=1-0.9=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

4 0
3 years ago
Giving brainliest!!<br> pls help asap *easy*
Scrat [10]

Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: \frac{4}{3} \pi r^{2}

V = \frac{4}{3} × (3.5)²π

V = \frac{4}{3} × 12.25π

V ≈ 16.333 in³

8 0
3 years ago
How many dogs were household pets in the U.S in 2012, in scientific notation
Irina18 [472]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs
stiks02 [169]
150. Divide 5000 by 100 and you get 50. Multiply 3 by 50 and you get 150.
4 0
2 years ago
Read 2 more answers
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