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yarga [219]
3 years ago
14

Find the vertices of the following functions. Y=4(x-2)(x-3) Y=-4(x+2)^2 -5

Mathematics
1 answer:
Natalija [7]3 years ago
8 0
1) 5/2 , -1
2) -2,-5
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Two numbers are of the ratio 3:5. If their difference is 18, find the numbers.
lozanna [386]
Est Answer: say the numbers<span> are x and y......and y being the bigger </span>number<span> ... </span>If<span> the </span>ratio<span> is 5:3, then </span>difference<span> between </span>ratio<span> = 5-3 = 2 ... Substituting this x = 5y/3 in equation x-y=</span>18<span> we </span>get<span> ... therefore x = 5 * 27/</span>3 = 5<span>*9 = 45 .... One </span>number<span> is 5 more than another. </span>their<span> sum is 53 what are the </span>two numbers<span>?</span>
5 0
3 years ago
The principal of a large high school wants to know if students spend more than 1 hour doing homework per night, on average. To i
MrRissso [65]

Answer:

If we define the random variable X ="time spend by the students doign homework"

And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:

Null hypothesis: \mu \leq 1

Alternative hypothesis: \mu >1

And they wnat to use a sample size of n = 100 and a significance level of 0.05

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

If we define the random variable X ="time spend by the students doign homework"

And we want to tes t is students spend more than 1 hour doing homework per night, on average (alternative hypothesis), so then the system of hypothesis for this case are:

Null hypothesis: \mu \leq 1

Alternative hypothesis: \mu >1

And they wnat to use a sample size of n = 100 and a significance level of 0.05

7 0
3 years ago
Assume all variables represent non negative numbers . Help please!!
Dafna1 [17]

Answer:

A). 2p^{8}

B). 3m^{7}

Step-by-step explanation:

A). \sqrt{4p^{16}}

    To get the square root of the given expression we will convert it into the square form.

4p^{16}=(2)^2(p^{8})^2 [Since 2×2 = 4 and p^{8}\times p^{8}=p^{16}]

Therefore, \sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }

                             =2p^{8}

B). \sqrt{9m^{44}}

    Since, 9m^{14}=(3)^2\times (m^7)^2

    Therefore,  \sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2} [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   =3m^{7}

7 0
3 years ago
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