1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ryzh [129]
3 years ago
14

What is the product of 4x^4y^2 and 5y^4?

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

20x^4y^6

Step-by-step explanation:

(4x^4y^2)(5y^4) \\20x^4y^6

You might be interested in
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
brianna bought a computer game for $36 with a coupon for %25 off, How much would it cost without the coupon
Butoxors [25]
The game would cost $45
7 0
2 years ago
William has 8 1/4 cups of fruit juice.  If he divides the juice into 3/4 cup servings, how many servings will he have?
nikdorinn [45]

Answer: 11 servings

Step-by-step explanation:

To get the number of servings, all we need to do is divide 8 1/4 by 3/4

converting 8 1/4 to improper fraction will yield 33/4

8 1/4 ÷ 3/4

=33/4 ÷ 3/4

= 33/4 ÷ 4/3

The 4 at the numerator will cancel the 4 at the denominator. we will be left with;

=33/3 =11

Therefore, there will be 11 servings.

7 0
3 years ago
Read 2 more answers
Justin lives 3 2 5 miles from his grandfather's house. Enter the mixed number as a fraction greater than one. 3 2 5 =
elena-s [515]

Answer: \dfrac{17}{5} miles

Step-by-step explanation:

We can express a mixed fraction as an improper fraction.

The process is as follows:

a\dfrac{b}{c}=\dfrac{ac+b}{c}

The given mixed number = 3\dfrac25 miles

This can be represented as

3\dfrac25=\dfrac{3\times5+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{17}{5}>1

Hence, the required fraction= \dfrac{17}{5} miles

3 0
3 years ago
What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?
Sindrei [870]
<h3>Answer:  130</h3>

Explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

8 0
3 years ago
Other questions:
  • How can I figure this out and put it on the chart?
    13·1 answer
  • How do you do this and what is the correct answer? Simple and concise explanation please!
    5·1 answer
  • Someone please help me its do Friday and i'm so lost :(
    6·2 answers
  • lou has 1/2 of a circular pizza left over from a party. he takes a third if it as a snack and evenly splits up the rest to share
    6·1 answer
  • Dexter rides his bike 3 1/4 miles each day on Monday, Wednesday, and Friday. On Tuesday and Thursday he rides 7 3/8 miles each d
    5·1 answer
  • If z = 4 solve for 5z
    8·2 answers
  • Lorinda has 10 books on her bookshelf. 6 of these books have blue covers, and 4 have red covers.
    7·1 answer
  • PLEASEEEE HELP ME WITH 1A. ITS EASY IF YOU KNOW HOW TO DO IT
    14·2 answers
  • Help with this question
    10·1 answer
  • PLS ANSWER FAST ONLY 6 MIN
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!