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2 years ago

HELP ASAP H(x)=-6x+8 G(x)=10-2x H(G(x))

Mathematics

1 answer:

galben [10]2 years ago

7 0

Answer:

H(G(x)) = 12x - 52

Step-by-step explanation:

We are given the following two functions:

$H ( x ) = - 6 x + 8$

$G ( x ) = 1 0 - 2 x$

And we are to find the value of H(G(x)).

For that, we will apply the function of H on the function of G.

$H(G(x))=H(10-2x)$

$H ( G ( x ) ) = - 6 ( 1 0 - 2 x ) + 8$

$H(G(x))=-60+12x+8$

H(G(x)) = 12x - 52

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Solve the equation: (4x - 5)^4 = 81.

Anton [14]

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aman10we

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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

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3 years ago

A quadrilateral has two angles that measure 222° and 81°. The other two angles are in a ratio of 6:13. What are the measures of

hram777 [196]

$\sf\huge\underline{\star Solution:-}$

$\rightarrow$ Ratio of two angles are 6:13.

So, let the one angle be $\sf{6x}$ and another be $\sf{13x.}$

As we know that,

Sum of all interior angles of a quadrilateral = $\sf\pink{360°.}$

So let's sum up the given angles,

$\rightarrow$ $\sf{222°+81°+6x+13x \:=\: 360°}$

$\rightarrow$ $\sf{303+19x \:=\: 360°}$

$\rightarrow$ $\sf{19x \:=\: 360-303}$

$\rightarrow$ $\sf{19x \:=\: 57}$

$\rightarrow$ $\sf{x \:=\: \frac{19}{57}}$

$\rightarrow$ $\sf{x \:=\: 3}$

Hence, $\sf{x \:=\: 3}$

So, First angle $\sf{= \:6x\: = \:6×3 \:=}$ $\sf\purple{18°.}$

Second angle $\sf{= \:13x\: = \:13×3 \:=}$ $\sf\purple{39°.}$

_________________________________

Hope it helps you:)

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2 years ago

A customer buys 17.01 in gas and request one five dollar lottery ticket two one dollar lottery tickets and one three lottery tic

const2013 [10]

The store clerk gave the customer:

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The customer gave the store clerk:

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3 years ago

Read 2 more answers

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