Simplifying the expression 3x^3 - 15x^2 + 15x - 75 / 3x^2 + 15 results in the binomial expression

a box contains 162 matches a bigger box contains 1 and 4/9 times as many matches how many matches did the bigger box contain

Ivahew [28]

Multiply 1 4/9 to the matches in the box.

1 4/9 * 162 = 234

So the bigger box contains 234 matches.

6 0

3 years ago

Laila made 12 muffins. Shannon made 10 muffins how many more did Laila make?

sleet_krkn [62]

Answer:

2 more muffins

Step-by-step explanation:

Since,

Given that:

Laila made 12 Muffins

Shannon made 10 Muffins

Question to Answer:
How many more did Laila make?

Solve:

Since it asking how many more laila made that means we have to subtract to find how many more laila has.

As given, we know that Laila made 12 Muffins and Shannon made 10 Muffins then:

Laila Muffins - Shannon Muffins

Which also means:

12 - 10

Which,

12 - 10 = 2

Hence, Laila makes 2 more Muffins than Shannon

Kavinsky

7 0

2 years ago

Read 2 more answers

Assume that we want to construct a confidence interval. Do one of the following, as appropriate:_________.

andreyandreev [35.5K]

Answer:

B. z Subscript alpha divided by 2 zα/2 = 1.96.

Step-by-step explanation:

We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:

n = 236, $\bar x$ = 30.3 hg, s = 7.2 hg. The confidence level is 95%.

As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.

It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.

Here, $\alpha$ = level of significance = 1 - 0.95 = 0.05 or 5%

$\frac{\alpha}{2}=\frac{0.05}{2}$ = 0.025 or 2.5%

So, the value of $Z_(_\frac{\alpha}{2} _)$ in the z table is given as 1.96 with a 2.5% level of significance.

3 0

4 years ago

In a right triangle ABC with the right angle at C, TanA=0.75 What is TanB?

n200080 [17]

Tan B=1.33. If you put tan^-1 and find the angle of A, you’ll get 36.87, so 90-36.87=53.13, then put Tan53.13, you’ll get TanB=1.33

4 0

3 years ago

If electricity costs 5 cents per kilowatt-hour, how much does it cost to run an 80-watt light bulb for 24 hours?96.0 cents 4.2 c

joja [24]

We are given the electricity cost as 5 cents per kilowatt-hour. We should notice that the cost is actually in the form of:

electrical cost = cost / (power * time)

Therefore to get a number which is in terms of cents alone (cost alone), therefore we should multiply the given electrical cost value with the power and time.

Power = 80 watt = 0.08 kilowatt

Time = 24 hours

Therefore the cost is calculated as:

cost = electrical cost * power * time

cost = [5 cents / (kilowatt hour)] (0.08 kilowatt) (24 hour)

cost = 9.6 cents

Answer:

9.6 cents

3 0

3 years ago