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eimsori [14]
3 years ago
14

Whitch ordered pairs are solutions to the inequality y-4x≤-6

Mathematics
2 answers:
konstantin123 [22]3 years ago
6 0

Answer:

y </ 4x - 6

Step-by-step explanation:

nalin [4]3 years ago
3 0

Answer:

4xM-3 is the asnr

Step-by-step explanation:

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What is the surface area of a cylindrical ring where the diameter of the cross section is 6.3 in and the center line has a lengt
Kruka [31]
The surface area of the cylindrical ring is given by
πdh
where d is the diameter and h is the height:
π•6.3•48 = 950.02
The answer is C. 950.02 in^2
4 0
3 years ago
Read 2 more answers
A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred
Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest:  Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P.  Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

                   ln 3

ln (1 + r) = ---------------

                    100

              = 1.0986 / 100 = 0.01986

We must solve this for r.  Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today.  Use the same equation:  A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

or

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0
2 years ago
The difference of a number and 17 is more than 33
madreJ [45]

Answer:

In algebraic terms this means x-17>33

Step-by-step explanation:

to solve it x−17>33

1 Add 17 to both sides.

x>33+17

2 Simplify 33+17 to 50

x>50

5 0
3 years ago
Read 2 more answers
Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan
Lunna [17]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 41  

    Alternate Hypothesis, H_A : \mu > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \mu = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>

(a) Null Hypothesis, H_0 : \mu \leq 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, H_A : \mu > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, <em><u>the test statistics</u></em>  =  \frac{47-41}{\frac{35}{\sqrt{40} } }

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) <u>Now, the P-value of the test statistics is given by;</u>

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = <u>0.1401</u>

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

8 0
3 years ago
7 less than the product of a number and 8, increased by a number multiplied by 2
nataly862011 [7]

The expression for 7 less than the product of a number and 8, increased by a number multiplied by 2 is 8n-7 +2n

Given :

7 less than the product of a number and 8, increased by a number multiplied by 2

We need to write the given statement in an expression

Lets 'n' be the unknown number

the product of a number and 8

Product means multiplication

the product of a number and 8 mean n times 8 that is 8n

7 less than the product of a number and 8, subtract 7 from 8n

Expression becomes 8n-7

This is increased by a number multiplied by 2

number multiplied by 2 is 2n

So the final expression for the given statement is 8n-7 +2n

Learn more : brainly.ph/question/1023996

3 0
2 years ago
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