Ben is tiling the floor in his bathroom the area he is tiling is 4m times 2m each tiles measures 400mm times 400mm he has 45 tiles is that enough

Answers

Answer 1

Answer:

No, it's not enough

Step-by-step explanation:

Given

Tilling Dimension = 4m by 2m

Tile Dimension = 400mm by 400mm

Required

Determine the 45 tiles is enough

First;

The area of the tiling has to be calculated

[tex]Area = Length * Breadth[/tex]

[tex]Area = 4m * 2m[/tex]

[tex]Area = 8m^2[/tex]

Next, determine the area of the tile

[tex]Area = Length * Breadth[/tex]

[tex]Area = 400mm * 400mm[/tex]

Convert measurements to metres

[tex]Area = 0.4m* 04m[/tex]

[tex]Area = 0.16\ m^2[/tex]

Next, multiply the above area result by the number of files

[tex]Total = 0.16m^2 * 45[/tex]

[tex]Total = 7.2m^2[/tex]

Compare 7.2 to 8

Hence, we conclude that the 45 tiles of 400mm by 400 mm dimension is not enough to floor his bathroom


Related Questions

Which expression is equivalent to x12 + 5x6 – 14?

Answers

4(3x+4) This should hellp

2 less than five times a number.

Answers

Answer:

X will be the number.  

5 times that number X is 5X

2 less than 5 times the number is 5X - 2

Hope this helps! Plz mark brainliest! (づ ̄3 ̄)づ╭❤~

Answer

5x + 2

Step-by-step explanation:

5x + 2 or 5x - 2

The company charges $5 per sq ft, AND has a minimum charge of 3 sq ft per order (meaning if a customer orders something SMALLER than 3 sq ft they still are charged as if they ordered 3 sq ft, never less - but if they order something larger than 3 sq ft they just pay regularly by the sq ft). What would you charge someone who orders a piece of glass 12in X 12in

Answers

Answer:

15 dollars

Step-by-step explanation:

12 inches = 1 ft

so 12 inch by 12 inches  is 1 ft * 1 ft

1 ft* 1 ft

1 ft^2

This is smaller than 3 ft^2 so they will get charged for 3 ft^2

3 ft^2 = 3 ft^2 * $5 / ft^2 = 15 dollars

Find the area of the shaded triangle below.

Answers

Answer:

A = 12 square units

Step-by-step explanation:

Area of a Triangle = base * height / 2

The triangle might look weird and doesn't look like it has a base, but if you look at the left side you see there is a straight line which means there is a base, so we flip the picture until we see that the flat line on the bottom or the base.

The base is 4 units.

To find the height, we don't need a straight line, we just need to see how the tall the triangle is, to do that you must start from the lowest point and count up to the highest point.

You now get 6 units.

A = bh/2

A = 4*6/2

A = 24/2

A = 12 square units

(3.5x10^8)x(4.0x10^-12)=

Answers

Answer:

Below

Step-by-step explanation:

● (3.5× 10^8) × (4×10^(-12))

● (3.5×4) × (10^8 × 10^(-12) )

● 14 × 10^ (-12+8)

● 14 × 10^(-4)

● 14/10^4

If 4 pounds of cherries cost $10, what is the unit price

Answers

Answer:

2.5$ per pound

Step-by-step explanation:

The cost of 4 pounds of cherries cost 10$

So to khow the price of 1 pound we must divide 10 by 4.

● 10/4 = 2.5

So 1 pound costs 2.5$

Anna is paid $14.75 per hour. She works a
12 hour shift, the last 4 hours being at a double
time pay rate. What is Anna's wage before
tax?
HELP

Answers

Answer:

$336

Step-by-step explanation:

$14.75(8) + $14.75(2)(4) - (8 hours of normal shift) + (double pay rate)(for 4 hours)

= $118 + $118 - Add

= $336

Help please anyone. Thank You

Answers

Answer:

A) 144 yd²

Step-by-step explanation:

Base= 8x8=64

Side = 1/2*8*5=20

64+20+20+20+20=144 yd²

Answer:

168 sq yds

Step-by-step explanation:

5x8/2x2=40

8x8/2x2=64

8x8=64

40+64+64=168

find the unknown angles

Answers

Answer:

y=135

x=45

Step-by-step explanation:

x= 45

It is an isosceles so

180-90=90

90/2= 45  

y=135

angles on a straight line add up to 180 so

180-45=135

Hope this helps!

The number of times a player has golfed in one's lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is -0.26. Which best describes the strength of the correlation and what is true about the causation between the variables?

Answers

Answer: It is a weak negative correlation and it is not likely causal.

Step-by-step explanation:

Given: The number of times a player has golfed in one's lifetime is compared to the number of strokes it takes the player to complete 18 holes. The correlation coefficient relating the two variables is -0.26.

Variables : "number of times a player has golfed in one's lifetime" and "number of strokes it takes the player to complete 18 holes".

Since -0.26 is more closer to 0 as compared to 1 , so it describes a weak negative correlation.

Also, it is not likely causal as number of times a player has golfed in one's lifetime not cause number of strokes it takes the player to complete 18 holes.

Answer: B) It is a weak negative correlation, and it is likely casual

Correct on edge 2020!

The function s(t) = 4t – 21 is a result of the composition (q ∘ p)(t). If q(t) = 4t³ – 1, what is p(t)?

Answers

Answer:

Step-by-step explanation:

Hello, please consider the following.

[tex]q(t) = 4t^3-1\\\\(qop)(t)=q(p(t))=4\left( p(t) \right) ^3-1=4t-21\\\\p(t)^3=\dfrac{4t-21+1}{4}=\dfrac{4(t-5)}{4}=t-5\\\\p(t)=\sqrt[3]{t-5}[/tex]

Cheers.

Taking into account the definition of composite function, the function p(t) is [tex]\sqrt[3]{t-5}[/tex].

What is composite function

The composite function is one that is obtained through an operation called composition of functions, which consists of evaluating the same value of the independent variable (x) in two or more functions successively.

In other words, a composite function is generally a function that is written inside another function. The composition of a function is done by substituting a function into another function.

Solving a composite function means finding the composition of two functions.

Function p(t)

The expression of the composite function (qp)(t) is read "p composite with q". This means that you should do the following compound function: q[p(t)].

The function s(t) = 4t – 21 is a result of the composition (q ∘ p)(t). And q(t)=4t³ – 1. Then:

s(t)= q[p(t)]

4t -21= 4[p(t)]³ – 1

Solving:

4t -21 +1= 4[p(t)]³

4t -20 = 4[p(t)]³

(4t -20)÷ 4 = [p(t)]³

4t÷4 -20÷ 4 = [p(t)]³

t -5 = [p(t)]³

[tex]\sqrt[3]{t-5}=p(t)[/tex]

Finally, the function p(t) is [tex]\sqrt[3]{t-5}[/tex].

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What is the volume of a cube with a side length of
of a unit?

Answers

It’s d times it three times length width height

Please help me I’ve been struggling

Answers

Answer:

147cm³

Step-by-step explanation:

Bottom rectangular prism: 3x4x6=72

Top rectangular prism: 5x5x3=75

72+75=147cm³

Find the measure of ∠BEF
Please HELP ASAP

Answers

Answer:

100°

Step-by-step explanation:

We know that angles EFD and AEF are the same as they are alternate interior angles.

We also can note that BEF and AEF are supplementary, meaning their angle lengths will add up to 180°.

So we can create an equation:

(2x + 60) + (3x + 20) = 180

Combine like terms:

5x + 80 = 180

Subtract 80 from both sides

5x = 100

Divide both sides by 5

x = 20.

Now we can use this to find the measure of BEF.

[tex]2\cdot20 + 60[/tex]

[tex]40 + 60 = 100[/tex]

Hope this helped!

Answer:

BEF = 100

Step-by-step explanation:

The angles are same side interior angles and same side interior angles add to 180 degrees

2x+60 + 3x+20 = 180

Combine like terms

5x+80 = 180

Subtract 80

5x = 100

Divide by 5

5x/5 = 100/5

x = 20

We want BEF

BEF = 2x+60

      = 2x+60

      = 2*20 +60

     = 40+60

     = 100

If the sin of angle x is 4 over 5 and the triangle was dilated to be two times as big as the original, what would be the value of the sin of x for the dilated triangle? Hint—Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. (4 points)

Answers

Answer:

Sin of x does not change

Step-by-step explanation:

Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.

From trigonometry,

Sin(x)=opposite/hypotenose

Where x=4/5

Sin(4/5)= opposite/hypotenose

But we were given the scale factor of 2 which means the dilation is to two times big.

Then we have

Sin(x)=(2×opposite)/(2×hypotenose)

Then,if we divide by 2 the numerator and denominator we still have

Sin(x)=opposite/hypotenose

Which means the two in numerator and denominator is cancelled out.

Then we still have the same sin of x. as sin(4/5)

Hence,Sin of x does not change

Answer:

Step-by-step explanation:

sin of angle x = [tex]\frac{4}{5}[/tex]

If the triangle is dilated 2 times - it becomes two time larger.

4 times 2 = 8   and 5 times 2 = 10

So the ratio would be [tex]\frac{8}{10}[/tex],  which when reduced (divide numerator and denominator by 2)  becomes [tex]\frac{4}{5}[/tex].

This is correct as dilation changes the size of an image - but not its angles or proportions, meaning ratios remain the same.

So the answer is 4/5.

The length of the longest side of a triangle is 5 inches more than twice the length of the shortest
side, and the length of the middle side is 2 inches more than the length of the shortest side. The
perimeter of the triangle is 235 inches. So the shortest side is inches long. Type in your
numerical answer only; do not type any words or letters with your answer.

Answers

Answer:

Length of shortest side: 57

Length of medium side:59

Length of long side: 119

Step-by-step explanation:

A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total

Answers

Answer:

256 outcomes.

Step-by-step explanation:

Each time you flip the coin you have two possible outcomes, it can either come up with heads or tails.

You're going to flip the coin eight times so the first time you can have 2 possible outcomes, the second time you have 2 possible outcomes, the third time you have 2 possible outcomes, etc.

Since you are going to do this eight times you are going to multiply each of the outcomes, so you will have:

Possible outcomes = 2×2×2×2×2×2×2×2= 256

Thus, there are 256 different outcomes in total.

Suppose that 67.2% of all adults with type 2 diabetes also suffer from hypertension. After developing a new drug to treat type 2 diabetes, a team of researchers at a pharmaceutical company wanted to know if their drug had any impact on the incidence of hypertension for diabetics who took their drug. The researchers selected a random sample of 500 participants who had been taking their drug as part of a recent large-scale clinical trial and found that 317 suffered from hypertension.
The researchers want to use a one‑sample z ‑test for a population proportion to see if the proportion of type
2 diabetics who have hypertension while taking their new drug, p, is different from the proportion of all type
2 diabetics who have hypertension. They decide to use a significance level of ???? = 0.05.
A. Determine the p value for this test.
B. Determine the value of the z test statistic.

Answers

Answer: A. p-value = 0.04

              B. z = - 1.77

Step-by-step explanation: To calculate z test statistic or z-score for a population proportion, first find the proportion (p-hat):

[tex]p_{hat}[/tex] = [tex]\frac{317}{500}[/tex] = 0.634

Then determine the standard deviation:

[tex]\sigma = \sqrt{\frac{p_{hat}(1-p_{hat})}{n} }[/tex]

[tex]\sigma = \sqrt{\frac{0.634(0.366)}{500} }[/tex]

[tex]\sigma = \sqrt{0.00046 }[/tex]

[tex]\sigma[/tex] = 0.0215

Calculating z-score:

[tex]z=\frac{p_{hat}-p}{\sigma}[/tex]

[tex]z=\frac{0.634-0.672}{0.0215}[/tex]

[tex]z=-1.77[/tex]

Z-test for the population proportion is z = - 1.77

P-value is the probability describing the data if null hypothesis is true, i.e.:

P(z< -1.77)

Using z-score table, the probability is:

P(z< -1.77) = 0.04

p-value = 0.04

P-value for this test is p-value = 0.04.

Jerry was given some birthday money He puts the money in an account Every month after that he deposits the same amount of money The equation that models this situation y=50x+75 where y is the amount of money int he account and x is the number of deposits What does the y- intercept means in this situation

Answers

Answer: He was given $75 for his birthday

Step-by-step explanation:

The y - intercept represents the rate of which the money is being deposited in the account.

What is linear equation in two variable ?

"An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero."

"The solution of linear equations in two variables, ax+by = c, is a particular point in the graph, such that when x-coordinate is multiplied by a and y-coordinate is multiplied by b, then the sum of these two values will be equal to c.

Basically, for linear equation in two variables, there are infinitely many solutions."

The given equation is y = 50x + 75

The y intercept represents the amount of money to be deposited in account. The rate of change of money in the account with represent to the months.

Hence, y represents money deposited in the account.

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Determine whether the statement (p∧(p⟶q))⟶q is a tautology one time by using truth table and the other time without using truth table

Answers

It is.........................................................

One way to prove this without a truth table is to use a conditional proof. We assume the portion p ^ (p --> q). If that's true, then so is p and p-->q

Using p and p-->q, the modus ponens rule allows us to derive q. It says that if p is true and p --> q, then q must be true as well.

Since we arrive at q, we have found the conclusion we're after. The assumption (p ^ (p-->q)) leads to q, and therefore the entire statement (p ^ (p-->q)) --> q is true for any combination of p,q.

What is the product of 8.0425 x 2.6?

Answers

Answer:

20.9105

Step-by-step explanation:

8.0425

2.6

80425*26=2091050

there is 5 decimals so you move the decimal over to the left 5 times

20.9105 :)

Suppose that two.integers from the set of 8 integrs {1,2,3....8} are chosen at random. Find the probability that i. both numbers match. ii. Sun of the two numbers picked is less than 4?

Answers

Answer: a) 0.003

b) 0.125

c) 0.047

Step-by-step explanation:

We have a set of 8 numbers {1,2,...,8}

Let's analyze each case:

a) 5 and 8 are picked. The probability here is:

In the first selection, we have two possible picks (we can pick 5 or 8), so we have two possible outcomes out of 8 total outcomes,  the probability for the first selection is:

P = 2/8 = 1/4.

Now, if one of those numbers was picked in the first selection, only one outcome is possible in this second selection, (if before we picked a 5, here we only can pick an 8, or if in the first selection we picked an 8, here we only can pick a 5.)

the probability is:

P = 1/8

The joint probability is equal to the product of the individual probabilities, so here we have:

P = (1/4)*(1/8) = 1/32 = 0.003

b) The numbers match (we draw two sixes, for example) :

In the first selection, we can have any outcome (the only requirement is that in the second selection we pick the same outcome), so the probability is:

P = 8/8 = 1

in the second selection, we can have only one outcome, so here the probability is:

P = 1/8

The joint probability is p = 1/8  = 0.125

c) The sum is smaller than 4:

The combinations are:

1 - 1  , 1 - 2  and 2 - 1

We have 3 combinations, and the total number of possible combinations is:

8 options for the first number and 8 options for the second selection:

8*8  = 64

The probability is equal to the number of outcomes that satisfy the sentence (3) divided by the total number of outcomes (64):

P = 3/64 = 0.047

which operation should you perform first when evaluating the expression 3²+ 2​

Answers

Answer:

You should calculate 3² first.

Step-by-step explanation:

In PEMDAS, E (which stands for exponents) comes before A (which stands for addition) so therefore you should calculate 3² first.

Answer: Exponents is done first (evaluate [tex]3^2[/tex] first)

Explanation:

The acronym PEMDAS helps determine the order of operations

P = parenthesis

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

With the expression [tex]3^2+2[/tex] we have two operations going on here: exponents and addition.

Since exponents comes before addition (E comes before A in PEMDAS), this means we evaluate [tex]3^2[/tex] first, then add later.

Solve this and I’ll give u 5 stars and brainleist

Answers

Answer:

notice: temperature rises quickly at sunrise, and drops before sunsetwonder: whether this location is shaded by mountains later in the day

Step-by-step explanation:

notice

The temperature starts off below zero in the early morning and stays cold until the sun comes up. Then it warms rapidly to an above zero temperature that peaks in early afternoon. Once the sun gets lower, the temperature starts cooling off again. (The daily temperature range of 25-27 degrees is pretty typical for partly-cloudy sky conditions and stable weather.)

wonder

We wonder if this isn't a location that is on the east- or north-side of a mountain, or in a mountain valley, where the sun hits it early and is shaded later in the day. (The topo map attached seems to show it is in such a location.)

I cant seem to get the second one right...

Answers

Rx=1 means to reflect the given point on the line of x= 1

The mapping for the reflection on line x is x = k

(-2,7) = (-2(1) - -2,7) = (4,7)

The missing value is 7

After setting up the width of the compass using the original line segment, why is it important to keep the compass the same
width before drawing an arc? (1 point)
If the width of the compass changed, it would make the arc smaller or larger. This would then make the line segment to be drawn
smaller or larger, so it would not match the original.
of the width of the compass changed, it would make the arc smaller or larger. This would change the angle the new line segment is
drawn at, so it would not match the original.
O if the width of the compass changed, it would be possible for the arc to intersect the original line segment, which is not allowed.
The width of the compass does not matter. All that matters is that a straightedge is used to draw the line segment

Answers

Answer:

If the width of the compass changed, it would make the arc smaller or larger. This would then make the line segment to be drawn smaller or larger, so it would not match the original.

Step-by-step explanation:

We assume your construction is trying to copy the length of a line segment. That length is "measured" by the width of the compass. If it is changed, it no longer matches the length of the segment you're trying to copy, so you will not get the copy you want.

HELP ASAP ROCKY!!! will get branliest.​

Answers

Answer:

Hey there!

The slope is -1/3, because the rise over run is -1/3.

Let me know if this helps :)

Plzz help i really need help..

Answers

Answer:

D. neither.

Step-by-step explanation:

A function is when one x-value only has one corrisponding y-value.

The answer it's D. Neither

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be:______.
A. H0 : μ = 0.8 H 1 : μ ≠ 0.8
B. H0 : p ≤ 0.8 H 1 : p > 0.8
C. H0 : p = 0.8 H 1 : p ≠ 0.8
D. H0 : μ ≤ 0.8 H 1 : μ > 0.8
E. H0 : p ≥ 0.8 H 1 : p < 0.8
F. H0 : μ ≥ 0.8 H 1 : μ < 0.8
The test is:_____.
a. left-tailed
b. right-tailed
c. two-tailed
Based on a sample of 200 people, 79% owned cats.
The test statistic is:______.
The p-value is:_____.
Based on this we:_____.
A. Fail to reject the null hypothesis.
B. Reject the null hypothesis.

Answers

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) [tex]\sqrt{\frac{pq}{n} }[/tex]

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as  proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the  proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value  ± 1.28.

We have alpha equal to 0.2  for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) [tex]\sqrt{\frac{pq}{n} }[/tex]

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 [tex]\sqrt{\frac{0.8*0.2}{200} }[/tex]

0.8 ± 0.03620

0.8362, 0.7638

As the calculated value of z lies within the critical region  we reject the null hypothesis.

2.

The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site

are approximated by

77

S=56.9–40.7cos

6

where t is the time in months), with t=1 corresponding to January. Determine the months when

sales exceed 7700 units at any time during the month.

O May through September

O March through August

O March through September

O April through August

O August through April

Answers

Answer:

March through August

Step-by-step explanation:

Ok, in order to solve this problem, we must start by building an equation to solve. The original equation was:

[tex]S=56.9-40.7cos (\frac{\pi}{6}t)[/tex]

and we need to figure out the months when the sales exceed 7700 units. Since the equation is given in hundreds of units, we need to divide those 7700 units into one hundred to get 77 hundred units. So we can go ahead and substitute that value in the equation:

[tex]77=56.9-40.7cos (\frac{\pi}{6}t)[/tex]

if you wish you can rewrite the equation so the variable is on the left side of it but it's up to you. So you get:

[tex]56.9-40.7cos (\frac{\pi}{6}t)=77[/tex]

and now we solve for t

[tex]-40.7cos (\frac{\pi}{6}t)=77-56.9[/tex]

[tex]-40.7cos (\frac{\pi}{6}t)=20.1[/tex]

[tex]cos (\frac{\pi}{6}t)=\frac{20.1}{-40.7}[/tex]

[tex]cos (\frac{\pi}{6}t)=-0.4938[/tex]

[tex]\frac{\pi}{6}t=cos^{-1}(-0.4938)[/tex]

[tex]\frac{\pi}{6}t=2.087[/tex]

[tex]t=\frac{2.087(6)}{\pi}[/tex]

[tex]t=3.98 months[/tex]

but there is a second answer to this problem. Notice that the function cos can be 2.87 at [tex]2\pi-2.087=4.1962 rad[/tex] as well, so we repeat the process:

[tex]\frac{\pi}{6}t=4.1962[/tex]

[tex]t=\frac{4.1962(6)}{\pi}[/tex]

[tex]t=8.014 months[/tex]

So now we need to determine on which period of times the number of items sold exceed 77 hundred units so we build different intervals for us to test:

(1,3.98)  (3.98,8.014) and (8,014, 13)

and find a test value for each of the intervals and test it.

(1,3.98) t=2

[tex]S=56.9-40.7cos (\frac{\pi}{6}(2))[/tex]

S=36.55

this is less than 77 so this is not our answer.

(3.98,8.014) t=5

[tex]S=56.9-40.7cos (\frac{\pi}{6}(5))[/tex]

S=92.15

this is more than 77 so this is our answer.

(8.014,13) t=10

[tex]S=56.9-40.7cos (\frac{\pi}{6}(10))[/tex]

S=36.55

this is less than 77 so this is not our answer.

so, since our answer is the interval (3.98,8.014)

this means that between the months of march and august we will be sellin more than 7700 units.

Other Questions
If f(x)= 5x+4 and g(x)= -2+1...... 1) f(6) + g(-8) = ? 2) g(4)= ? 3) f(-2)= ? PLZ PLZ PLZ HELP ME I AM SOOOOO CONFUSED!!!!!!!!!!! 3. When Antoine or Adriane is halfway to the top of the Ferris wheel, what is his or her elevation? (Use thediameter of the Ferris wheel to determine the correct vertical shift for your modeling function.) (1 point) PLEASE HELP! 10 POINTS Which line would be the line of best fit for the scatter plot? Question #1: Select the correct answer. Choose the punctuation that correctly ends the sentence. Oh no, the house is on fire A. Question mark ( ? ) B. Exclamation point ( ! ) C. Period ( . ) Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant. (1, 3) m = 2 Portia Grant is an employee who is paid monthly. For the month of January of the current year, she earned a total of 8,588. The FICA tax for social security is 6.2% of the first $118,500 of employee earnings each calendar year and the FICA tax rate for Medicare is 1.45% of all earnings. The FUTA tax rate of 0.6% and the SUTA tax rate of 5.4% are applied to the first $7,000 of an employee's pay. The amount of federal income tax withheld from her earnings was $1,424.97. Her net pay for the month is: (Round your intermediate calculations to two decimal places.) a) $7,038.50 b) $5,141.03 c) $6,072.04 d) $6,566.00 e) $6,506.04 Redford's salary was $123,000 in 2019. What would his total combined FICA tax (OASDI & Medicare) withheld from his salary be for the year? Using the following data on bond yields: This Year Last Year Yield on top-rated corporate bonds 4 % 7 % Yield on intermediate-grade corporate bonds 6 % 9 % a. Calculate the confidence index this year and last year. What are NC's three distinct geographical divisions? A U.S. manufacturing company operating a subsidiary in an LDC (less-developed country) shows the following results:U.S. LDCSales (units) 100,000 20,000Labor (hours) 20,000 15,000Raw materials (currency) $20,000 FC 20,000Capital equipment (hours) 60,000 5,000a. Calculate partial labor and capital productivity figures for the parent and subsidiary. Do the results seem confusing?b. Compute the multifactor productivity figures for labor and capital together. Do the results make more sense?c. Calculate raw material productivity figures (units/$ where $1=FC 10). Explain why these figures might be greater in the subsidiary. PLEASE HELP AS SOON AS POSSIBLE!!!!!!! Use a dictionary to answer the following questions. What is the alternate spelling of meager? Which part of the dictionary entry did you use to find the answer? ( i need this one in particular!!!!!!) HELP MEH HELP MEH PLZ Choose the letter that represents the correct diagram for this sentence. A manager wants to determine an appropriate learning percentage for processing insurance claims for storm damage. Toward that end, times have been recorded for completion of each of the first six repetitions:Repetition 1 2 3 4 5 6Time (minutes) 46 39 35 33 32 30a. Determine the approximate learning percentage. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.)P %b. Using your answer from part a, estimate the average completion time per repetition assuming a total of 30 repetitions are planned. (Round your answer to 3 decimal places.) The science of designing for efficient and comfortable interaction between a product and the human body is called __________. brain is considered as the centre of all senses, why ? What is the radical equivalent for 197^7/8? 2. Read the given extract and answer the questions that follows. The tree stretches in the sun It knows the birds that fly The beasts that run, climb and jump From its heavy loaded branches It yawns and digs its roots a) What does the animals and birds do? b) Name the poem and the poet. c)What is the poetic device used in this stanza ? Pick the line and write. WILL GIVE BRAINLYEST AND 30 POINTS Which of the followeing can be qritten as a fraction of integers? CHECK ALL THAT APPLY 25, square root of 14, -1.25, square root 16, pi, 0.6 Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university?