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guapka [62]
3 years ago
11

uring February, Kevin will water his ivy every third day, and water his cactus every fifth day. Part 1 out of 2 On which date wi

ll Kevin first water both plants? Simply enter the number of the date: don't include the "th." He will first water both plants on February
Mathematics
1 answer:
andrezito [222]3 years ago
8 0

Since Juanuary has 31 days we will also count the 31st day.Lets count the days Kevin waters his ivy.He will water it every 3 days so let’s count by threes.

2 5 8 11 14 17 20 23 26 29

That is all theaters you.Can have in February if you count by 3s.

He will water his cactus every 5th day.Just like before let’s count but this time by 5s.

4 9 14 19 24 29

There are two dates Kevin will water both plants but you said to do the first one so the date will be 14.

Your Answer is the 14th

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What is the sum of the EXTERIOR angles of an octagon?
navik [9.2K]

Answer:

A rule of polygons is that the sum of the exterior angles always equals 360 degrees. Since it is a regular octagon, so each of the interior angles of octagon are equal. ((n-2)*180)/n where n is the number of sides of the polygon.for example in case n=8 for an octagon, so we get:

((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees.  

Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 - 135 = 45). Remember that supplementary angles add up to 180 degrees.  

And since there are 8 exterior angles, we multiply 45 degrees * 8 and we get 360 degrees.

This technique works for every polygon, as long as you are asked to take one exterior angle per vertex.

8 0
3 years ago
Read 2 more answers
If you are starting with what you know about a large population and coming to a conclusion about a specific scenario, then which
Ostrovityanka [42]

Answer:

Education –> Mortality –> Fertility rates

Education –> Fertility rates

Step-by-step explanation:

Education and fertility is a key role to grow a large population. But if the mortality rate is low families tend to have less children.

4 0
3 years ago
At an ice cream store, $20 is enough to buy 5 cones and 5 sundaes. or, $20 can buy 4 sundaes, 6 cones and there would be 80 cent
satela [25.4K]
There will not be 80 cents left over
3 0
3 years ago
Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard for
KatRina [158]

Answer:

1+ 0i

Step-by-step explanation:

A complex number is a number which has some real part and some imaginary part.

Standard form of a complex number is represented as

a +bi

Where a is the real part,

and bi is the imaginary part.

And i = \sqrt{-1}

Given complex number:

-4i+\dfrac{1}{4}-5i)-(-\dfrac{3}{4}+8i)+17i\\\Rightarrow -4i+\dfrac{1}{4}-5i + \dfrac{3}{4}-8i+17i\\\Rightarrow  \dfrac{3}{4}+\dfrac{1}{4}-4i -5i-8i+17i\\\Rightarrow  \dfrac{3+1}{4}-17i+17i\\\Rightarrow \dfrac{4}{4}+0i\\\Rightarrow 1 + 0i

Hence, the standard form is 1+ 0i.

8 0
3 years ago
According to the US Bureau of labor statistics, 7% of US female workers between 16 and 24 years old are paid at the minimum wage
vladimir1956 [14]

Answer:

The Null Hypothesis is  H_o:k_o = 0.07

The alternative hypothesis is  H_a :k_o \ne 0.07

Decision rule

    If the test staistics is  greater than the critical value of significance level then H_o is accepted else H_o  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     t_{0.05} = 1.645

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

Conclusion

The information is not enough to back the claim that state differs from the nation

Step-by-step explanation:

From the question we are told that

The percentage of US female workers paid at the minimum wage or less is  k_o = 7% = 0.07

  The sample size is  n =  500

    The number paid minimum wage or less is  x = 42

    The significance level is \alpha  =5%  = 0.05

Now the probability of getting a US female workers paid at the minimum wage or less is mathematically represented as

         \= k = \frac{x}{n}

substituting value

        \= k = \frac{42}{500}

        \= k = 0.084

The Null Hypothesis is  H_o:k_o = 0.07

The alternative hypothesis is  H_a :k_o \ne 0.07

Generally the test statistics is mathematically evaluated as

        z =  \frac{\=  k  - k_o}{\sqrt{\frac{k_o(1-k_o)}{n} } }

substituting value

      z =  \frac{0.084  - 0.07}{\sqrt{\frac{0.07 (1-0.07)}{500} } }

     z =  1.23

Now the Decision rule is stated as  

        If the test staistics is  greater than the critical value of significance level then H_o is accepted else H_o  is rejected

With the above in mind

       The critical value of the significance level which is obtained from the table is

     t_{0.05} = 1.645

Now since the critical value of significance level is greater than the test  staistics then the null hypothesis will be rejected

   So the conclusion will be

   The information is not enough to back the claim that state differs from the nation

 

4 0
3 years ago
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