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3 years ago

(PLEASE HELP ASAP)What is the base area of Box 3?

Mathematics

2 answers:

damaskus [11]3 years ago

7 0

Answer:

$\text{Base area of box 3}=x^2+4x$

Step-by-step explanation:

We are asked to find the base area of the box 3.

We know that base area of box or cuboid can be calculated by multiplying its base length and width.

$\text{Base area of box 3}=\text{Length}\times \text{Width}$

$\text{Base area of box 3}=(4+x)*x$

Use distributive property $a(b+c)=ab+ac$ :

$\text{Base area of box 3}=4x+x^2$

$\text{Base area of box 3}=x^2+4x$

Therefore, the base area of box 3 would be $x^2+4x$ .

baherus [9]3 years ago

4 0

Answer:

x² + 4x

Step-by-step explanation:

The area (A) of the base is

A = length × width

= x(4 + x) = 4x + x² = x² + 4x

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Plz help me! thx you sooo much

geniusboy [140]

Answer:

i believe the first one

Step-by-step explanation:

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3 years ago

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Which is equal to log base 2n=4

o-na [289]

To solve this problem you must apply the proccedure shown below:

1. You have the following logarithm:

<span>log(2)n=4

2. Therefore, you con rewrite it as below:

loga(b)=logb/loa
</span>
3. Therefore, you have:

log(2)n=4⇒log(n)/log(2)=4

4. Then, you obtain:

log(n)=4log(2)

5. Therefore, as you can see, the answer for the exercise shown above is the last option, which is:

log(n)=4log(2)

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3 years ago

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Henry buys 6 circus tickets for himself and five friends for a total of $174. Each friend pays Henry back for his or her ticket.

Deffense [45]

Answer:

$11

Step-by-step explanation:

According to the statement, you have that 6 tickets for the price of each ticket is equal to $174 and from that, you can determine the price of each ticket:

6*P=174

P= price of each ticket

P= 174/6= 29

Now, as it says that one of Henry's friends gives him two $20 bills, that means that he gives him $40 and you have to subtract the price of the ticket from that:

40-29= 11

The answer is that if one of Henry's friends gives him two $20 bills, Henry has to return $11.

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3 years ago

What is the value of x?

pantera1 [17]

x=9 because the triangle is equilateral which means every side is equal to 60. When you do the math you get 7x-3=60 which is 7x=63 and 63/7=9

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3 years ago

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The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in

oksano4ka [1.4K]

Answer:

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

$p_v =P(Z>2)=0.0228$

Step-by-step explanation:

1) Data given and notation

$\bar X=8300$ represent the sample mean

$\sigma=1200$ represent the population standard deviation

$n=64$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

4) P-value

Since is a one-side upper test the p value would given by:

$p_v =P(Z>2)=0.0228$

5) Conclusion

If we compare the p value and the significance level assumed, for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.

4 0

3 years ago