The average manufacturing work week in metropolitan Chattanooga was 40.1 hours last year. It is believed that the recession has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are

Answer:

a) Area of a rectangle = length × width

Area = 6138cm²

Width = 62m

length = Area / width

length = 6138/62

length = 99m

b) Perimeter of a rectangle = 2l + 2w

l = length

w = width

perimeter = 338m

length = 98m

338 = 2(98) + 2w

2w = 338 - 196

2w = 142

w = 71m

width = 71m

Hope this helps.

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

[tex]a/3(a/3)[/tex]

[tex]a/3 \div 3/a=1[/tex]

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

Answer:

D. a/3 divided by 3/a = 1

Step-by-step explanation:

edge

Answer:

The fourth term is -18

Step-by-step explanation:

an = -2(an-1) +10

This is the recursive formula

a1 = 6

a2 = -2(a1) +10 = -2(6) +10 = -12+10 = -2

a3 = -2(a2) +10 = -2(-2) +10 = 4+10 = 14

a4 = -2(a3) +10 = -2(14) +10 = -28+10 = -18

problem decoded dude

follow meh

Answer:

<C = [tex]38^{o}[/tex]

Step-by-step explanation:

Given that: <AIB = [tex]109^{o}[/tex]

<AIB + <BIX = [tex]180^{o}[/tex] (sum of angles on a straight line)

[tex]109^{o}[/tex] + <BIX =  [tex]180^{o}[/tex]  

<BIX =  [tex]180^{o}[/tex] - [tex]109^{o}[/tex]

<BIX = [tex]71^{o}[/tex]

But,

<AIB = <YIX = [tex]109^{o}[/tex] (opposite angle property)

<XIB = <AIY = [tex]71^{o}[/tex]  (opposite angle property)

Therefore,

[tex]\frac{A}{2}[/tex] + [tex]\frac{B}{2}[/tex] =  [tex]71^{o}[/tex] (Exterior angle property)

[tex]\frac{A + B}{2}[/tex] =  [tex]71^{o}[/tex]

A + B = [tex]142^{o}[/tex]

A + B + C =  [tex]180^{o}[/tex] (sum of angles in a triangle)

 [tex]142^{o}[/tex] + C = [tex]180^{o}[/tex]

C = [tex]180^{o}[/tex] - [tex]142^{o}[/tex]

C = [tex]38^{o}[/tex]

Thus, angle C is [tex]38^{o}[/tex].

Answer:

2√3

Step-by-step explanation:

Step 1: Find perfect square roots

√4 x √3

Step 2: Convert

2 x √3

Step 3: Answer

2√3

Answer:

Step-by-step explanation:

The 50 people might be random, depending on when the question was done.  

The 50 people might be random if there's roughly the same number of men as women, but to accomplish this, Isabella would have to pick a time when men would be out shopping.

The 16 are certainly not random, and the question itself is kind of biased.  I would say the answer should be no.

Answer:

The 88% confidence interval for the population proportion of full-time employees who favor plan A is (0.208, 0.344).

Step-by-step explanation:

The question is incomplete: it lacks the sample data.

We will work with a sample size n=105 and a count of X=29 that prefer adopting the plan A.

We have to calculate a 88% confidence interval for the proportion.

The sample proportion is p=0.276.

[tex]p=X/n=29/105=0.276[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.276*0.724}{105}}\\\\\\ \sigma_p=\sqrt{0.001903}=0.0436[/tex]

The critical z-value for a 88% confidence interval is z=1.555.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.555 \cdot 0.0436=0.0678[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.276-0.0678=0.208\\\\UL=p+z \cdot \sigma_p = 0.276+0.0678=0.344[/tex]

The 88% confidence interval for the population proportion is (0.208, 0.344).

The 88% confidence interval is given by (0.208,0.344) and this can be determined by using the given data.

Given :

First, determine the sample proportion p:

[tex]\rm p=\dfrac{X}{n}=\dfrac{29}{105}[/tex]

P = 0.276

Now, determine the standard error:

[tex]\rm \sigma_p=\sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]\rm \sigma_p=\sqrt{\dfrac{0.276(1-0.276)}{105}}[/tex]

[tex]\sigma_p=0.0436[/tex]

For 88% confidence level the value of z-value is 1.555.

Now, determine the margin of error.

[tex]\rm ME = z\times \sigma_p=1.555\times 0.0436[/tex]

ME = 0.0678

For the confidence interval, the upper and lower bounds are:

[tex]\rm LL = p-z\times \sigma_p=0.276-0.0678= 0.208[/tex]

[tex]\rm UL = p+z\times \sigma_p=0.276+0.0678= 0.344[/tex]

Therefore, the 88% confidence interval is given by (0.208,0.344).

For more information, refer to the link given below:

https://brainly.com/question/10951564

Answer: -3 2/3x - 1

Step-by-step explanation:

-2/3x + 5(3/5 - 3/5x) - 12 / 6 * 2

First distribute

-2/3x + 3 - 3x - 12 / 6 * 2

Now divide 12 by 6

-2/3x + 3 - 3x -2 * 2

Now multiply -2 by 2

-2/3x + 3 - 3x - 4

Now subtract 3x from -2/3x

-3 2/3x + 3 - 4

Now subtract 4 from 3

-3 2/3x - 1

Answer:

0.1

Step-by-step explanation:

0.36-0.26=0.1

hope u understand

Answer:

A

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The denominator always stays the same

Good Job!

Hope this helps :)

Answer:

yes 4/7 is the answer

Step-by-step explanation:

2/7+2/7

l.c.m is 7

2+2/7

4/7

Answer: f(-6) = 10.

Step-by-step explanation: This above equation is the only one that contains both coordinates of one of the ordered pairs in the correct order, so it is the answer.

Answer:

50%

OR

1/2

Step-by-step explanation:

The box and whisker plot shows the time spent from 4 to 6 hours is Quartile 1 to 3 which makes it 50%.

Answer:

  a[1] = 4

  a[n] = -3·a[n-1]

Step-by-step explanation:

The sequence given is not a geometric sequence, since the ratios of terms are -3, -3, 3 -- not a constant.

If we assume that the last given term is supposed to be -108, then the common ratio is -3 and each term is -3 times the previous one. That is expressed in a recursive formula as ...

  a[1] = 4 . . . . . . . . . . .  first term is 4

  a[n] = -3·a[n-1] . . . . . each successive term is -3 times the previous one

Answer:

216

Step-by-step explanation:

To find the volume of the pyramid we have to do length * width * height / 3

The length is 9yd

The width is 8yd

The height is 9yd

So 9 * 9 * 8 = 648

648 / 3 = 216

Answer:

  [tex]\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}[/tex]

Step-by-step explanation:

[tex]\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}[/tex]

__

The applicable rules of logarithms are ...

  log(ab) = log(a) +log(b)

  log(a/b) = log(a) -log(b)

  log(a^b) = b·log(a)

Answer:

A

Step-by-step explanation:

Just did it on edge2020

Answer:

  5

Step-by-step explanation:

To put the equation in standard form, add 6 to both sides.

  x^2 +4x -1 +6 = -6 +6

  x^2 +4x +5 = 0

The new value of "c" (the constant) is 5.

Answer:

C or 5 for me

Step-by-step explanation:

Answer: (f-g)(x)= -138

Step-by-step explanation:

Answer:

8.5 cm

Step-by-step explanation: The formula for the area of a triangle is base times height divided by 2. To find the original number before dividing by 2 you have to multiply 65.45 times 2, which is 130.9. The length is 15.4 and the original number before dividing by 2 is 130.9 to find the height divide 130.9 by 15.4 which is 8.5. If you plug in the value height is 8.5 cm , length is 15.4 and multiply it and divide it by 2 you will get 65.45.

Answer:

60%

Step-by-step explanation:

In the spinner there are 5 numbers. 3 of them are odd and 2 of them are even and because each number has 1/5 chance of being chosen, you have a 3/5 chance of choosing an odd number. 3/5 = 60/100 = 60%

Answer:

[tex] 60.8^\circ [/tex]

Step-by-step explanation:

First, let's check side lengths.

Using the Pythagorean theorem we can find the length of the other side of the rectangle.

a^2 + b^2 = c^2

4.2^2 + b^2 = 8.6^2

b^2 = 56.32

b = 7.5

The other side of the rectangle measures 7.5 cm, so now we know that 4.2 cm is indeed the shorter side of the rectangle.

For the angle in question, the 4.2 cm side is the adjacent leg.

The diagonal of 8.6 cm is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

[tex] \cos \alpha = \dfrac{adj}{hyp} [/tex]

[tex] \cos \alpha = \dfrac{4.2~cm}{8.6~cm} [/tex]

[tex] \alpha = \cos^{-1} \dfrac{4.2~cm}{8.6~cm} [/tex]

[tex] \alpha = 60.8^\circ [/tex]

Answer:

$306,956,6268

Step-by-step explanation:

Future value, FV = Present value PV [1 + rate]^t

PV = FV/[1 + rate]^t

PV = 500,000/[1.05]^10

PV = $306,956,6268

Answer:

2π miles

Step-by-step explanation:

2πr is the formula for the circumference of a circle.

Using that formula, the circumference for this circle is 8π.

Since the circle's full angle is 360°, we can use a ratio to find out how long the 45° arc is.

  °    : length

360  :   8π

 9     :  0.4π

45    :  2π

The 45° is 2π mi long.

Answer:

Step-by-step explanation:

Differentiating implicitly, you have ...

  -y²·dx +(4-x)(2y)dy = 3x²·dx

So, the slope is ...

  dy/dx = (3x² +y²)/(2y(4 -x))

At (x, y) = (2, 2), the slope of the curve is ...

  dy/dx = (3·2² +2²)/(2·2(4 -2)) = 16/8 = 2

In point-slope form, the equation of the tangent line is then ...

  y = m(x -h) +k

  y = 2(x -2) +2

  y = 2x -2 . . . . equation of tangent line

__

The normal to the curve is perpendicular to the tangent at the same point. The slope of the perpendicular line is the negative reciprocal of the tangent's slope, so is -1/2.

  y = (-1/2)(x -2) +2

  y = -1/2x +3 . . . equation of normal line

Answer:

The greatest possible length is 14 cm.

The total number of smaller pieces is 37.

Step-by-step explanation:

The greatest common factor of these three numbers is 14.

Total number of smaller pieces = 10+12+15 = 37

Best Regards!

Answer:

The number of ways is  [tex]\left 9}\atop } \right. P _5 = 15120[/tex]

Step-by-step explanation:

From the question we are told that

   The number of factories visited is  [tex]n = 9[/tex]

    The number of factories to be visited by a representative  r = 5

The number of way to visit the 5 factories is mathematically represented as

         [tex]\left 9}\atop } \right. P _5 = \frac{9!}{(9-5)!}[/tex]

Where P represents  permutation

  =>   [tex]\left 9}\atop } \right. P _5 = \frac{9 \ !}{4\ !}[/tex]

 =>     [tex]\left 9}\atop } \right. P _5 = \frac{9 *8*7 * 6 * 5 * 4!}{4\ !}[/tex]

=>    [tex]\left 9}\atop } \right. P _5 = 15120[/tex]

Answer:

Step-by-step explanation:

If you look at the numbers you are given, you see that the first purchase has 3 more adult tickets than the second purchase, and its cost is £24 more. This means an adult ticket costs £24/3 = £8.

Two adult tickets will cost 2×£8 = £16, so three child tickets cost ...

  £31 -16 = £15

Each child ticket is then £15/3 = £5.

An adult ticket costs £8; a child ticket costs £5.

Answer: $8179

Step-by-step explanation:

The principal is the amount of money that is invested at a particular interest rate.

In this scenario, we are informed that a company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year.

Since the first payment will record interest expense of $4800, then for us to get the amount that the principal will be reduced by, we subtract the interest expense made from the equal payments that are made at each year end. This will be:

= $12979 - $4800

= $8179

Answer:

Real Rate of Return = 4.9%  and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9%  and Nominal rate = 0.081 or 8.1%

real rate = 5 %   and Nominal rate = 0.0815 or 8.15%

real rate = 3%  and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% =  0.08

Inflation rate 1st year = 3% =  0.03

Inflation rate 2nd year = 5% =  0.05

solution

we get here Real Rate of Return  that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate)   .........1

so that here 1st year Real return  will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return  will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation     ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

so

Nominal rate = 0.0815 or 8.15%

and for 2nd years  it will be

Real rate = Coupon rate - Inflation      ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

so

Nominal rate = 0.0815 or 8.15%

Answer:

67,365,043,200

Step-by-step explanation:

A coin toss has 2 possible outcomes.  A coin tossed 3 times has 2³ = 8 possible permutations.

A standard die has 6 possible outcomes.  A die rolled 4 times has 6⁴ = 1296 possible permutations.

The number of ways 4 cards can be chosen from a deck of 52 without replacements is 52×51×50×49 = 6,497,400.

The total number of possible outcomes is:

8 × 1296 × 6,497,400 = 67,365,043,200

Answer:

$192

Step-by-step explanation:

1: Subtract the discount from 100% then divide the sale price by this number (100%-25%=75%, $144/75%=$192)

hope this helped

Answer:

$192

Step-by-step explanation:

144 is actually 75% from the original price x:

0.75 x=144

x=144/0.75= $192

check : 192*0.25= $ 48 discount

192-48= $ 144 price of the shoe