MATHEMATICS COLLEGE

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Answer 1

Answer:

Answer:

Step-by-step explanation:

i copied the person above me :)

sorryyy not sorry lol

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How many integers between 160 and 279 inclusive, are divisible by 7?

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Answer:

Step-by-step explanation:

We can put this as an AP (arithmetic progression).

The first number, after 160, that is divisible by 7 is:

161

The last number before 279 that is divisible by 7 is:

273

We can use the formula:

$t_n=a+(n-1)d$

Where

tn is the nth term [here we take the last one, 273

a is the first term [161]

d is the common difference [7]

and n is the number of terms, we are trying to find this.

Substituting we get:

$t_n=a+(n-1)d\n273=161+(n-1)(7)\n273=161+7n-7\n273=154+7n\n7n=119\nn=17$

Hence, there are 17 integers

A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The professor wants to find a sample mean that is within 4.266 hours of the true average for all college students at the university with 99% conconfidence. If the professor knows the standard deviation of the sleep times for all college students is 2.539, what sample size will need to be taken

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Answer:

The sample size is $n = 2$

Step-by-step explanation:

From the question we are told that

The margin of error is E =4.266

The standard deviation is $\sigma = 2.539$

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of $(\alpha )/(2)$ is

$Z_{(\alpha )/(2) } = 2.58$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{(\alpha )/(2) } * \sigma }{E} ] ^2$

=> $n = [(2.58 * 2.539 )/(4.266) ] ^2$

=> $n = 2$

Are ray AB and ray BA same? why

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Answer:

A length of a ray cannot be measured therefore it's refferd to as infinite. same

You can use a calculator for this question. Greg builds a new pond which has a volume of 7.35 m3. It is 4.2 m long and 50 cm deep. What is the width of the pond? m

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The formula of getting the volume of a regular prism is L x W x H = V.
Given: V: 7.35m3
L: 4.2 m
H: 50 cm (Convert this to meters) = 0.5m
W: ?
L x W x H = V
4.2 x W x 0.5m = 7.35m3
2.1m2 x W = 7.35m3 <-- Divide both sides by 2.1m2
The result would be W= 3.5m
So the width of the pond is 3.5m
Hope this solution helps you!

X/3+11=16
What is the value of x

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Answer:

x = 15

Move 11 to the other side, with "16" after the equal sign.

We need to subtract: 16-11 = 5

x/3 = 5

x = 5 x 3

x = 15

To double check...

15/3 + 11 = 16

5 + 11 = 16

PS: In algebra we actually use "*" but for the sake of it I will use "x"

Have a nice day!

Answer:

Step-by-step explanation:

First you take all of the non-variables on to the other side of the equal sign. It then turns out to be SUPER easy. x/3 = 16 - 11

x/3 = 5

x = 5*3

x = 15

Please answer and explain ILL MARK BRAINLIEST

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Answer:

a) x²-x-6

b) 2x²-11x+12

c) x²-4

Step-by-step explanation:

See image!

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Help! - Answer = Brainliest!

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