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777dan777 [17]
3 years ago
5

The cone below has a radius of 1 inch and height of 4 inches. What is the slant height in inches?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

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What is a simpler form of the expression? (2n 2 + 5n + 3)(4n – 5) A. 8n 3 + 10n 2 – 13n – 15 B. 8n 3 + 30n 2 – 37n – 15 C. 8n 3
Sonja [21]
<span>(2n^2 + 5n + 3)(4n – 5)
= 8n^3 -10n^2 + 20n^2 - 25n + 12n - 15
= 8n^3 + 10n^2 - 13n - 15 

answer is </span><span>A. 8n^3 + 10n^2 – 13n – 15

hope that helps</span>
3 0
2 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
Item 19 Question 1 A furniture store is having a sale where everything is 40% off. a. Write a function that represents the amoun
astraxan [27]
Whatever% of anything is just (whatever/100) * anything.

therefore, if an item has been discounted by 40%, the discounte is that 40%, what is 40% of the price "p"?  (40/100) * p or 0.4p.

\bf \stackrel{discount}{d}=0.4\stackrel{original~price}{p}
3 0
3 years ago
Solve for 2/5 + 3/8= With two possible answeres
Pani-rosa [81]
You can change the denominators so they are alike.\frac{16}{40} + \frac{15}{40} = \frac{31}{40}
Not sure how there can be two possible answers unless you're mentioning the decimal form:
.775
Tell me if this helps!!
6 0
2 years ago
Claire accepted a new job at a company with a contract guaranteeing annual raises. Let S
TiliK225 [7]

Answer:

6 years

Step-by-step explanation:

First, you need to write an equation for this problem. I'll write it in slope intercept:

y = mx + b

where m is the slope and b is the y-intercept

To find m, do (change in y/change in x):

using (2, 59000) and (5, 72500),

(72500 - 59000) / (5 - 2)

= 13500 / 3

= 4500

So we have y = 4500x + b

To find b, plug in one of the points into the equation with the slope:

using (2, 59000),

y = 4500x + b

59000 = 4500(2) + b

59000 = 9000 + b

50000 = b

So now you have an equation: y = 4500x + 50000. Now that there is an equation, just insert the given y-value and solve:

when y = 77000

y = 4500n + 50000

= 77000 = 4500x + 50000

= 27000 = 4500x

= 6 = x

So, when Claire's Salary is 77000, her number of years at the company is 6.

6 0
3 years ago
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