Formulas HW for algebra. First correct answer gets brainliest.

Answer:

562.29

Step-by-step explanation:

you would just multiply 525.50 by 7 which is 3678.5 and divide that by 100 which is 36.785 and add that to 525.50 which is 562.285 which can be rounded to 562.29

Answer:

The dimensions of the box are:

x =  8,93 cm       and     h  =   5,95 cm

C(min) =  850,69 cents

Step-by-step explanation:

The volume of the box is:

V = x²*h          where    x is the side of the square base  and h the height

then    h  =  V/ x²  ⇒    h = 475 / x²

The total cost of box C is:

C  = C₁  +  4*C₂      Where C₁  and C₂  are the costs of the base and one lateral side respectevily

Then cost C =  8*x²   + 4* 6*h*x

The cost C as a function of x is

C(x)  =  8*x²  + (24* 475 /x² )*x

C(x)  =  8*x²  +  11400/x

Tacking derivatives on both sides of the equation

C´(x)  =  16*x -  11400/x²

C´(x)  =  0     ⇒    16*x  -  11400/x²  = 0

16*x³  =  11400     ⇒   x³  =  11400/16

x³ =  712,5

x  =  8,93  cm

and    h   =  475 / (8,93)²      ⇒      h  =  5,95  cm

C(min)  =  8*79,77  +  4* ( 8,93)*5,95

C(min)  =  638,16  +  212,53

C(min)  =  850,69 cents

To check if value x = 8,93 would make C(x) minimum we go to the second derivatives

C´´(x) =  16  +  22800/x³ > 0

Then we have a minimum of C at  x = 8,93

Answer:

2x^3 + 9x^2 + 16x + 21.

Step-by-step explanation:

We first multiply the expression in the second parentheses by x , then by +3:

(x + 3)(2x^2 + 3x + 7)

= x(2x^2 + 3x + 7) + 3(2x^2 + 3x + 7)

= 2x^3 + 3x^2 + 7x + 6x^2 + 9x + 21   Now we add like terms:

= 2x^3 + 9x^2 + 16x + 21.

Answer:

a) Median Monthly Benefit = $439

b) The mean computed above is a STATISTIC. This is because, the mean of their monthly benefits ($455.14) was calculated from a SAMPLE (which could have been known or random) of single persons in Towson Texas.

Step-by-step explanation:

In the above question, we are given:

: $426, $299, $290, $687, $480, $439, and $565.

a) Median Monthly benefits

First we arrange the monthly benefits from the lowest to the highest

$290, $299, $426, $439, $480, $565, $687

Median Monthly Benefit is the number found in the middle of the Monthly benefits.

We were given 7 monthly benefit

$290, $299, $426,) $439, ($480, $565, $687

The median monthly benefit = $439

(b) Is the mean you computed in (a) a statistic or a parameter? Why?

The Mean Monthly Benefit = Sum of terms/Number of terms

Number of terms = 7

($290 + $299 + $426 + $439 + $480 + $565 + $687)/ 7

= $3186/7

= $455.14285714286

Approximately ≈$455.14

In the question we are asked if the Mean calculated or computed above is a Statistic or a Parameter.

The mean computed above is a STATISTIC. This is because, the mean of their monthly benefits ($455.14) was calculated from a SAMPLE (which could have been known or random) of single persons in Towson Texas.

Answer:

c+2c+12=75

c = 21

Steps:

c+2c+12=75

Simplify both sides of the equation.

c+2c+12=75

(c+2c)+(12)=75(Combine Like Terms)

3c+12=75

3c+12=75

Subtract 12 from both sides.

3c+12−12=75−12

3c=63

Divide both sides by 3.

Answer:

[tex]\Large \boxed{\mathrm{5.71 \ g/cm^3 }}[/tex]

Step-by-step explanation:

[tex]\sf \displaystyle density = \frac{mass}{volume}[/tex]

[tex]\displaystyle \rho = \frac{m}{V}[/tex]

[tex]\sf Mass \rightarrow 20 \ g \\ Volume \rightarrow 3.5 \ cm^3[/tex]

[tex]\displaystyle \rho = \frac{20}{3.5}[/tex]

[tex]\rho \approx 5.71[/tex]

Density is defined as the mass per unit volume of an object and It is calculated using the equation: density (d) = mass (m) / volume (v).

In this scenario, the mass of the object is given as 20 grams and the volume is given as 3.5 cm^3. To find the density, we can substitute these values into the equation: density =[tex]20 g / 3.5[/tex] cm^3 To simplify the unit of the measurement, we can convert cm^3 to mL (since 1 cm^3 is equal to 1 mL).

Thus, the equation becomes: density = [tex]20 g / 3.5[/tex]  mL Calculating the division: density ≈ 5.71 g/mL Therefore, the density of the object is approximately 5.71 g/mL.

To know more about unit of the measurement visit:

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Answer:

12.25

7 percent of 175 = 12.25

(example attached below)

Answer:

Step-by-step explanation:

$39 for 24 months comes to ...

$39 × 24 = $936

The "carrying charges" are the difference between the cash price and the installment price:

$936 -750 = $186

 Saving at the rate of $39 per month, it would take ...

  $750/$39 = 19.23 months   about 20 months to save up the cash price.

Often, such savings would come from a once-a-month paycheck, so it would take more than 19 such paychecks to save the required amount.

hope it will help :)

Answer:

x=4

Step-by-step explanation:

4x+y=10

y=-6

4x-6=10

4x=16

x=4

(4,-6)

Answer:

A. True

Step-by-step explanation:

The empirical rule in statistics states that:

So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.

Answer:

The answer is true

Step-by-step explanation:

True

Answer:

2(x - 8)

Step-by-step explanation:

Answer:

1067

Explanation:

The formula that will be used to calculate the sample size if population proportion isn't given is expressed as;

Sample size n = |Z|² × 0.25/E² where;

Z is the z-score at 95% confidence

E is the margin of error

Given parameters

Z score at 95% confidence interval = 1.96

E = 0.03

Substituting the given values into the formula to get the sample size n we will have;

n = 1.96²×0.25/0.03²

n = 3.8416×0.25/0.0009

n = 0.9604/0.0009

n = 1067.11

n ≈ 1067

Hence, the minimum sample size required to estimate a population proportion is approximately 1067

Answer:

C

Step-by-step explanation:

Since the exponent on the 10 is negative, we need to move the decimal point to the left instead of the right. After moving the decimal point on the 2.5 to the left 4 places, we see that the answer is 0.00025.

Answer:

16 * √3 cm² or approximately 27.71 cm²

Step-by-step explanation:

Given the 8 cm length of the diagonal and the 30° (π/6 radians) angle with one of the sides, we can calculate the width and height of the rectangle using:

8 * cos(π/6) = 8 * ((√3)/2) = 4 * √3

8 * sin(π/6) = 8 * (1/2) = 4

Multiply those two values together to get the area and you get

16 * √3 cm²

Answer:

Food A = 165 grams

Food B = 23 grams

Step-by-step explanation:

Daily precise diet fed to the group:

Niacin = 41.59 units

Retinol = 17,995 units

Two food types :

Food A :

Niacin = 0.22 units per gram

Retinol = 100 units per gram

Food B:

Niacin = 0.23 units per gram

Retinol = 65 units per gram

Let:

a = gram of food A fed per day

b = gram of food B fed per day

Hence in 'a' grams of food A:

0.22a of Niacin + 100a of Retinol

In 'b' grams of food B:

0.23b of Niacin + 65b of retinol

Recall :

Total Niacin = 41.59 ; total Retinol = 17995

Then,

0.22a + 0.23b = 41.59 - - - (1)

100a + 65b = 17995 - - - (2)

From (2) ; 100a + 65b = 17995

100a = 17995 - 65b

a = 179.95 - 0.65b - - - (3)

Substitute (3) into (1)

0.22(179.95 - 0.65b) + 0.23b = 41.59

39.589 - 0.143b + 0.23b = 41.59

0.087b = 2.001

b = 2.001 / 0.087

b = 23

Put b = 23 in (3)

a = 179.95 - 0.65(23)

a = 179.95 - 14.95

a = 165

Answer: E) CD

Step-by-step explanation:

A segment with a slope of 0 on this graph represents a time where no distance is made, or a break.  The only segment with a slope of 0(where distance does not increase) is segment CD.

Hope it helps <3

Answer:

CD

Step-by-step explanation:

CD is the answer because the graph becomes a flat line when a body is at rest

Answer:

the right answer is d

Step-by-step explanation:

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Answer:

Two and Two Tenths.

Step-by-step explanation:

The whole number if you were to just say it is two, so you have that part, but then for the decimals, the zeros don't really matter you can take them off and you have the same number ( but only if there is nothing after the zeros) so now you are left with 2.2 and the first decimal spot is the tenths so the wording for this would Two and Two Tenths.

The equations of the two tangents are; Larger slope;  y = (5/7)x Smaller slope;  y = (-5/7)x

Slope tells how vertical a line is.

The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

To find the slope, we take the ratio of how much the line's height increases as we go forward or backward on the horizontal axis.

This is because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. Thats why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.

The curve x = 7 cos(t), y = 5 sin(t) cos(t) has two tangents at (0, 0) and we need to find their equations.

We can write

 cos(t) = x/7

so

 y = 5(±√(1 -(x/7)^2)*x/7

Then

 y' = (±5/7)*(√(1 -(x/7)^2) + x/(2√(1 -(x/7)^2)*(-2(x/7))

The limit as x → 0 is ±5/7

The equations of the two tangents are;

Larger slope;  y = (5/7)x

Smaller slope;  y = (-5/7)x

Learn more about slope here:

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Answer:

yes

Step-by-step explanation:

Because the point lie on the plane they are coplanar

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

----------------------------

y=3/2x-13/2

Hope this helps!! :)

Answer:

b = 7.4

Step-by-step explanation:

b - 3 + 4b = 34

combine like terms:

5b - 3 = 34

5b = 37

divide by 5:

b = 7.4

Answer:

b=7.4

Step-by-step explanation:

1. Combine like terms

5b-3=34

5b=37

2. Isolate x value by dividing

b=7.4

Answer:

I Think its 8% decrease

Answer:

The answer is

Step-by-step explanation:

To find the percentage change we use the formula

[tex]Percentage \: \: change = \frac{change}{original \: quantity} \times 100[/tex]

To find the change subtract the lesser one from the larger one

Original price = $ 52

Current price = $ 47.82

Change = 52 - 47.82 = $ 4.18

Substitute the values into the above formula

Percentage change is

[tex] \frac{4.18}{52} \times 100[/tex]

We have the final answer as

Percentage change = 8%

Since the current price was lesser than the original price there is a percentage decrease in the amount

Step-by-step explanation:

Hey, there!!

Your required answer is:

i). = 40

ii). = 90

See explanation in picture..

Here, no(F) represents no. of people who just like football. and n (F intersection C) represents who like both games.

Hope it helps...

Complete Question

An urn contains eight red, six white, and four green balls. Four balls are drawn at random.

(a) The probability that all four balls are red is

(Type an integer or a decimal. Round to two decimal places as needed.)

(b) The probability that there are exactly two red balls and exactly two green balls is

(Type an integer or a decimal. Round to two decimal places as needed.)

(c) The probability that there are exactly two red balls or exactly two green balls is

Answer:

(a) The probability that all four balls are red is

0.023

(b) The probability that there are exactly two red balls and exactly two green balls is

0.055

(c) The probability that there are exactly two red balls or exactly two green balls is

1.398

Step-by-step explanation:

An urn contains

Red balls = 8

White balls = 6

Green balls = 4

Total number of balls = 18 balls

(a) The probability that all four balls are red is?

The probability that a ball drawn is red = 8/18

The probability of drawing a ball that is not red = 1 - 8/18 = 10/18

The probability that all the 4 balls drawn are red = 8/18 × 7/17 × 6/16 x 5/15

= 1680/73440

= 0.022875817

Approximately = 0.023

(b) The probability that there are exactly two red balls and exactly two green balls is

There are 6 ways by which this can be achieved. Where R = Red balls and G = Green Balls

RRGG

GGRR

RGRG

GRGR

RGGR

GRRG

P(Exactly two red balls and two green balls) = P(Exactly two red balls × Exactly two green balls)

=[ (8/18 × 7/17) ×( 4/16 × 3/15)] × 6 ways

= 672/73440 × 6 ways

= 0.0091503268 × 6 ways

= 0.0549019608

Probability of drawing out exactly two two red balls and two green balls is

= 0.055

(c) The probability that there are exactly two red balls or exactly two green balls is

P(Exactly two red balls or two green balls) = P(Exactly two red balls + Exactly two green balls)

P(Exactly two red balls or two green balls) = P(Exactly two red balls or Exactly two green balls)

=[ (8/18 × 7/17) + ( 4/16 × 3/15)] × 6 ways

=0.1830065359 + 0.05

= 0.2330065359 × 6 ways

= 1.3980392154

≈1.398

Answer:

97%

Step-by-step explanation:

Average = x1 + x2 + x3 + x4 + x5 ........ + xN

                  ------------------------------------------

                                          N

N = total numbers

=> (89 + 98 + 96 + x) / 4 = 95

=> (283 + x) /4 = 95

=> (283+ x) / 4 * 4 = 95 * 4

=> 283 + x = 380

=> 283 -283 + x = 380 - 283

=> x = 97

I divided the sum of all numbers by 4 we are adding 4 numbers.

So, she needs to get 97% in the last test in order to have an average score of 95%

Answer:

The probability that at least one of the three smoke detectors functions properly = 0.996625

Step-by-step explanation:

Given that:

a certain brand of smoke detector functions properly 85 percent of the time

Let X represent the certain brand of smoke detector

X = 85%

X = 0.85

Let the probability that at least one of the three smoke detectors functions properly be P(Y)

P(Y) = 1-  (1 - X)³

P(Y) =1 -  (1 - 0.85)³

P(Y) = 1 -  0.003375

P(Y) = 0.996625

∴

The probability that at least one of the three smoke detectors functions properly = 0.996625

Answer:

1

Step-by-step explanation:

Hello!

To find f(3) we put 3 in for x

[tex]3^{2} -5(3)+7[/tex]

Follow PEMDAS

9 - 5(3) + 7

9 - 15 + 7

-6 + 7 = 1

The answer is 1

Hope this helps!

Answer:

f(3) = 1

Step-by-step explanation:

f(x) = x^2 – 5x + 7

f(3) = 3^2 - 5(3) + 7

f(3) = 9 - 15 + 7

f(3) = -6 + 7

f(3) = 1