onvert the unit of weight. Enter your answer in the box.

3/4 lb =
oz

Answer:

64

Step-by-step explanation:

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

The solution is : 64 is limit.

In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

here, we have,

Given lim f(x) = 4.

We are given the limit of f(x) as x approaches 0 is 4.

We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.

Let's use limit laws by bringing the limit inside the power.

So we have 1/4 * 4^4.

This equals 4^3=64.

Hence, The solution is : 64 is limit.

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Answer:

Sales of the week = 3600

Step-by-step explanation:

Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly  sales.

To find - Find her sales for the week if her wages for the week is $940.

Solution -

Let us assume that,

Her sales of the week = x

Now,

Given that, Her salary is $400 plus 15% commission on weekly  sales.

So,

Equation of salary becomes

Salary = 400 + [tex]\frac{15}{100}x[/tex]

i.e.

Salary = 400 + 0.15x          .......(1)

Now,

Given that,

her wages for the week is $940.

i.e. Salary = $940

Put in equation (1), we get

940 = 400 + 0.15x

⇒0.15x = 940 - 400

⇒0.15x = 540

⇒x = 3600

∴ we get

Sales of the week = x = 3600

Answer:

Length= 19

Width=16

Step-by-step explanation:

(16x2)+(19x2)=70

38+32=70

Answer:3

Step-by-step explanation:

The probability that the number of students who take orchestra as an elective is 1/4 and the number of students who joined extra is 4

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the number of students who take orchestra as an elective be represented as P

Now , the equation will be

The total number of students = 16 students

The number of students who opted for orchestra as elective = 4 students

So , the probability that the number of students who take orchestra as an elective P = number of students who opted for orchestra as elective / total number of students

Substituting the values in the equation , we get

The probability that the number of students who take orchestra as an elective P = 4/16

The probability that the number of students who take orchestra as an elective P = 1/4 = 25 %

Now , when the number of students = 16 + 12 = 28 students

The probability that the number of students who take orchestra as an elective P₁ = ( x + 4 ) / 28

Substituting the values in the equation , we get

1/4 = ( x + 4 ) / 28

Multiply by 28 on both sides of the equation , we get

x + 4 = 7

Subtracting 4 on both sides of the equation , we get

x = 3 students

So , the number of students who will take orchestra from the group of 12 students is 3 students

Hence , the probability is 1/4

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Answer: $2,720

Step-by-step explanation:

Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.

In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:

Total interest = 12% * 68,000

= $8,160

Monthly rate is:

= 8,160 / 12 months

= $680

There are 4 months in 2020 so the interest for 2020 is:

= 680 * 4

= $2,720

Answer:

10:46

Step-by-step explanation:

8:30 + 136 min.

= 8:30 + 2:16

= 10:46

Answer:

[tex]468in^{2}[/tex]

Step-by-step explanation:

L=12

W=9

H=6

2lw+2lh+2wh=468

Many think ts, "oh LWH" well actually lwh is volume

The brown paper required to wrap the package is 468 square inches.

A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.

For the given situation,

The diagram shows the package that is cuboid in shape.

The dimensions of cuboid are

The length of the cuboid = 12 in

The wide of the cuboid = 9 in

The height of the cuboid = 6 in

The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,

[tex]A=2(lw+hl+hw)[/tex]

⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]

⇒ [tex]A=2[108+72+54][/tex]

⇒ [tex]A=2[234][/tex]

⇒ [tex]A=468[/tex]

Hence we can conclude that the brown paper required to wrap the package is 468 square inches.

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Answer:

276 is the answer

Step-by-step explanation:

23x4=92

92x3=276

Answer:

3

Step-by-step explanation:

Answer:

Angle M and N is 45 degrees, and the length of NP is approximately 6 cm

Step-by-step explanation:

With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.

 *triangles add up to a total of a 180 degrees, (180 - 90 = 90)

   9 ÷ 2 = 45

   So: ∠M = 45° and ∠N = 45°

To find the length of NP, use the pythagorean theorem.

a² + b² = c²

a = MP = 5

b = NP = x

c = MN = 7.8

(5)² = 25

(7.8)² = 60.48

25 + x² = 60.48

x² = 60.48 - 25

x² = 35.84

x = √35.84

x = 5.986 = 5.99

NP = 5.99 = 6

Answer:

1080

Step-by-step explanation:

Answer: i can give you tips of how to find the area of a polygon.

OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.

Step-by-step explanation:

And you have to add all the sides of the lengths of the sum of the polygon

Answer:

don't know sorry

Step-by-step explanation:

Answer: infinite solutions

Step-by-step explanation:

Answer:

[tex]0.0004[/tex]

Step-by-step explanation:

To start off, find out the probability that if you chose a number at random, you would pick a certain number. To do this count how many numbers you have, in this case it's 10. So if each of the numbers had the same chance to be picked, the probability of picking a certain number is [tex]\frac{1}{10}[/tex].

The same thing goes for the letters. Count how many you have, in this case it's the whole alphabet, so, 26 letters. Therefore, the probability of picking a certain letter is [tex]\frac{1}{26}[/tex].

Now for how we can use these probabilities. We want the probability that the code is a 7 AND a 4 AND a M. Because we are using AND and not OR, we should use the multiplication rule which is: [tex]P(Aand B) = P(A)[/tex] × [tex]P(B)[/tex].

Using this rule we can do the calculation: [tex]P(AandBandC) = P(A)[/tex] × [tex]P(B)[/tex] ×[tex]P(C)[/tex]

In this case, [tex]P(A) =\frac{1}{10}[/tex] , [tex]P(B) =\frac{1}{10}[/tex] and [tex]P(C) = \frac{1}{26}[/tex].

[tex]\frac{1}{10}[/tex] × [tex]\frac{1}{10}[/tex] × [tex]\frac{1}{26}[/tex] [tex]= 0.0003846...[/tex]

We can round this to [tex]0.0004[/tex]

Answer:

:)))))))))))))))))) boring

Answer:

Doing alright.

Thanks for asking.

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  65 degrees

Step-by-step explanation:

When angles are complementary, their total is 90°. The measure of the other angle is ...

  90° -25° = 65° . . . . . the measure of the other angle

Answer:

4p(7 + 5p)

Step-by-step explanation:

4p times the sum of 7 and 5p​

4p(7 + 5p)

Answer: 94.80

Step-by-step explanation:

First, let's divide the salary she made from 5 hours of work by 5 in order to see how much she makes in a single hour.

[tex]\frac{59.25}{5} = 11.85 per hour[/tex]

Multiply this by 8 to find her amount made in 8 hours.

11.85 x 8 = 94.80

Answer:

8(3f + 7g)

Step-by-step explanation:

The GCF of 24 and 56 is 8.

24f + 56g

8(3f + 7g)

Answer:

first x= -2

second x= 2

third x= 4

Answer:

2/3

Step-by-step explanation:

rises 2 units and east 3 units

rise / run = 2 / 3

9514 1404 393

Answer:

  5.04 seconds

Step-by-step explanation:

Assuming the ball is in the air until f(x) = 0, we want to find x such that ...

  0 = -5x² +25x +1

  0 = x² -5x -1/5 . . . . . divide by -5

  1/5 = x² -5x . . . . . . . add 1/5

  1/5 +25/4 = (x² -5x +25/4) . . . . complete the square

  129/20 = (x -5/2)² . . . . . . . . . . write as a square

  x = 5/2 +√(129/20) ≈ 5.039685 . . . . square root, add 5/2

The ball stays in the air about 5.04 seconds.

Answer:

A) - Quartic polynomial

- has four roots

- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) - Cubic polynomial

- has 3 roots

- roots are; f(x) = (x - 5)²(x + 5)

Step-by-step explanation:

A) f(x) = x⁴ + 21x² − 100

The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.

Factorizing this polynomial gives;

f(x) = (x² + 25)(x² - 4)

Equating to zero, we can find the roots. Thus, the roots are;

x = 5i

x = -5i

x = 2

x = -2

Thus, the completely factorized polynomial is;

f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) f(x) = x³ − 5x² − 25x + 125

The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.

Factorizing this polynomial gives;

f(x) = (x² - 25)(x - 5)

Equating to zero and Factorizing gives;

x = 5

x = -5

x = 5

Thus, completely factorized with the roots is;

f(x) = (x - 5)²(x + 5)

Answer:

Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.

Step-by-step explanation:

:D

Answer:

The test statistic is z = -2.11.

Step-by-step explanation:

Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Group 1: Sample of 35, mean of 1276, standard deviation of 347.

This means that:

[tex]\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537[/tex]

Group 2: Sample of 35, mean of 1439, standard deviation of 298.

This means that:

[tex]\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712[/tex]

Test if there is a difference in productivity level.

At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the two samples:

[tex]X = \mu_1 - \mu_2 = 1276 - 1439 = -163[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-163 - 0}{77.3144}[/tex]

[tex]z = -2.11[/tex]

The test statistic is z = -2.11.

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

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A. 17p

Step-by-step explanation:

hope this helps ya :)