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3 years ago

10

Answers plz i don’t get it

1 answer:

masha68 [24]3 years ago

3 0

The third option has the highest value

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Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2

Savatey [412]

$\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}$

7 0

3 years ago

on the first day of a trip, Ricky drove 800 miles in 20 hours. At that rate, how many miles did he drive in 1 hour?

mr Goodwill [35]

We are trying to find miles/hour, which shows that we are going to be dividing the total number of miles by the total number of hours. Thus, in this case, the miles/hour rate will be:

$\dfrac{800 \,\textrm{miles}}{20 \,\textrm{hours}} = 40 \dfrac{\textrm{miles}}{\textrm{hour}}$

He drove 40 miles in one hour.

7 0

3 years ago

Read 2 more answers

1) If the alpha level is changed from α = .05 to α = .01, what happens to boundaries for the critical region?

Alexxandr [17]

Answer:

1) a. Move farther into the tails

2) a. Decreases

Step-by-step explanation:

Hello!

1)

Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:

X[bar] ± $Z_{1-\alpha /2}$ * $\frac{Sigma}{\sqrt{n} }$

Leaving all other terms constant, this are the Z-values for three different confidence levels:

90% $Z_{0.95}= 1.648$

95% $Z_{0.975}= 1.965$

99% $Z_{0.995}= 2.586$

Semiamplitude of the interval is

d= $Z_{1-\alpha /2}$ * $\frac{Sigma}{\sqrt{n} }$

Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:

↑d= ↑ $Z_{1-\alpha /2}$ * $\frac{Sigma}{\sqrt{n} }$

They have a direct relationship.

So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.

2)

The significance level of a hypothesis test is the probability of committing a Type I error.

If you decrease the level from 5% to 1%, then logically, the probability decreases.

I hope this helps!

5 0

3 years ago

Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads

worty [1.4K]

She can buy maximum of $5$ packages while staying within her budget.

Minimum spending limit $=$ $ $50$ .

Maximum spending limit $=$ $ $60$ .

Cost of one package of beads $=$ $ $4.95$ .

Number of packages of beads bought $= 5$ .

Cost of one package of charms $=$ $ $6.55$ .

Let the number of packages of beads bought be $x$ .

$4.956 \times 5 + x \times 6.55 \geq 50$

$24.78+6.55x\geq 50$

$6.55x\geq 25.22$

$x\geq 3.85$

$4.956 \times 5 + x \times 6.55 \leq 60$

$24.78+6.55x\leq 60$

$6.55x\leq 35.22$

$x\leq 5.38$

So, she can buy maximum of $5$ packages while staying within her budget.

Learn more about solving inequalities here:

brainly.com/question/12189350?referrer=searchResults

7 0

2 years ago

If 1+9+8=1 then 2+8+9=x

Gwar [14]

Assuming this is some kind of modular question, maybe mod 17.

since 1+8+9=1, we can say that 8+9=0
therefore, 2+0=x, so x=2

6 0

3 years ago