Tara wants to put a white fence aroung the yard including the garden. Write an
expression for the perimeter of her yard (including the garden).
Then simply the expression.

Answer:

I hope this helps

you have to.first draw a number line and mark where the given numbers are

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Answer:

  126.6751 feet

Step-by-step explanation:

The tangent relation can be helpful.

  Tan = Opposite/Adjacent

  tan(69°) = (330 ft)/(distance to base)

  distance to base = (330 ft)/tan(69°) ≈ 126.6751 ft

_____

Comment on precision

It would make more sense to round to 4 significant figures. The value of a unit in the fourth decimal place is 0.0001 feet = 0.0012 inches, somewhat less than the thickness of a human hair. We know of no technology that will make a measurement of that distance to that accuracy.

Answer:

[tex]P(Z\leq2.89)=0.9981[/tex]

Step-by-step explanation:

Sample size [tex]n=200[/tex]

Rental Rate [tex]R=60\%[/tex]

Probability =(P<140)

Generally the equation for mean of distribution is mathematically given by

[tex]\mu=nR\\\\\mu=200*0.60\\\\\mu=120[/tex]

Generally the equation for Standard deviation of distribution is mathematically given by

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

[tex]\sigma=\sqrt{200*0.60*0.40}[/tex]

[tex]\sigma=6.9[/tex]

Therefore

Z-score for x=140 is

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{140-120}{6.9}[/tex]

[tex]Z=2.89[/tex]

From table

[tex]P(Z\leq2.89)=0.9981[/tex]

Answer:

0.2424

Step-by-step explanation:

Total number of fish = 33

Total number of tagged fish = 2

Each fish has equal probability of being caught (remember that the focus is on the second stage of fish selection) and that probability is 1/33 = 0.0303

- When the question says at least 4 and at most 8 are tagged fish, it means that 4/8 or 1/2 or half of the fish selected were tagged fish. This gives us the figure to use in computation.

- So first of all, the probability that a fish caught is a tagged fish is (1/33) x 2

which is = 0.0303 x 2  =  0.0606

Now if 8 fish were caught and we want to know the probability that at least half of the eight fish (which is 4 fish) were tagged fish, what do we do?

- Multiply the probability of picking a tagged fish by 4; since each fish is replaced before the next selection.

0.0606 x 4  =  0.2424

Answer:

N = 1000

Step-by-step explanation:

The population growth of species per capita of any geographical can be computed by using the formula:

[tex]\dfrac{dN}{dT}=rN (1 - \dfrac{N}{K})[/tex]

here;

N = population chance

T = time taken

K = carrying capacity

r = the constant exponential growth rate

From the given equation, we can posit that the value of r will be the greatest at the time the value of dN is highest:

As such, when the population chance = 1000

[tex]\dfrac{dN}{dT}=0.17 * 1000 (1 - \dfrac{1000}{10000})[/tex]

[tex]\dfrac{dN}{dT}=0.17 * 1000 (0.9)[/tex]

[tex]\dfrac{dN}{dT}= 153[/tex]

At N = 5000;

[tex]\dfrac{dN}{dT}= 85[/tex]

At N= 8000;

[tex]\dfrac{dN}{dT}= 34[/tex]

At N = 10000

[tex]\dfrac{dN}{dT}= 0[/tex]

9514 1404 393

Answer:

  7.3 in

Step-by-step explanation:

The sum of the lengths of the sides shown is 100.2 in, so the missing length is ...

  107.5 -100.2 = 7.3 . . . inches

Answer:

b

Step-by-step explanation:

The value of x 85.

The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.

⇒angle= arc/radius

⇒  107°=arc/7

⇒ arc =1o7°*7

⇒arc=107π/180° *7

⇒arc = 85

Learn more about circle here:-brainly.com/question/24375372

#SPJ2

Answer:

17 don't play any

Step-by-step explanation:

12+9+8+4=33

33-50=17

Answer:

-4

Step-by-step explanation:

a1 = -8

an = an-1 +2

a2 = a1+2 = -8+2 = -6

a3 = a2+2 = -6+2 = -4

I cant graph it on here but. if your graph goes by 10 then the slope should increase by 666 every minute on the x line

Answer:

The answer is in the screenshot

Step-by-step explanation:

PLEASE GIVE BRAINLIEST

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine or tangent.

Remember: SOH-CAH-TOA

Looking from the given angle, we want to find the opposite side and we know the hypotenuse. Therefore, we should use sine.

sin(51) = BC / 58

BC = 58 x sin(51)

BC = 45.1 units

Hope this helps!

Step-by-step explanation:

Hey there!

From the above given figure;

Angle CAB = 51°

AB = 58

Taking Angle CAB as reference angle we get;

Perpendicular (p) = BC= ?

Hypotenuse (h) = 58

Now;

Taking the ratio of sin we get;

[tex] \sin( \alpha ) = \frac{p}{h} [/tex]

[tex] \sin(51) = \frac{bc}{58} [/tex]

Simplify it;

0.7771459*58 = BC

Therefore, BC = 45.0744.

Hope it helps!

Answer:

ask in English then I can help u

Answer:

ask in English then I can help u

Answer:

I think A) Answer a customer inquiry

Step-by-step explanation:

Because customers come first

Answer:

see below

Step-by-step explanation:

amount of water w

l liter of pure alcohol = 100% alcohol

solution is 45 % percent alcohol

total amount of fluid is w+l

(w+l)( .45) = l*.100

Distribute

.45w  + .45 l = 1l

.45 w = 1l - .45l

.45 w = .55l

w = .55l / .45

w =11/9 l

Answer:

2.665 < σ < 3.379

Step-by-step explanation:

Given :

s = 2.97

Sample size, n = 60

α = 80%

χ² Critical value (two - tailed), df = (60-1) = 59

χ² = 45.577 ; χ² = 73.279

The 80% confidence interval for the standard deviation :

s * √(n - 1) / χ² critical

2.97 * √(60 - 1) / 73.279 < σ < 2.97 * √(60 - 1) / 45.577

2.665 < σ < 3.379

9514 1404 393

Answer:

  1/2 year

Step-by-step explanation:

Put the numbers into the interest formula and solve for t.

  I = Prt

  8100 = 180000(0.09)t

  t = 8100/16200 = 1/2

It will take 1/2 year to earn N8100 in interest at 9%.

Answer:

7 and 4

Step-by-step explanation:

when you multiply 7×4 the answer is 28 and when you add them the answer is 11.

I hope this helps

Answer:

4 and 7

Step-by-step explanation:

xy = 28 ..........1

x + y = 11........2

x = 11 - y.........3

substitute 3 in 1:

(11 - y)*y = 28

-y² + 11y - 28 = 0

y² - 11y + 28 = 0

( y - 7)( y - 4) = 0

y = 7 or y = 4

subs in 2:

x = 4 or x = 7

pairs: (4 ; 7) and (7 ; 4)

Answer:

Sinx = 21/40

x = inverse of sin (21/40)

x= 31.6682

hope u got it

Answer:

31.6 degrees

Step-by-step explanation:

sin-¹(p/h) = 31.6

Step-by-step explanation:

x= Number of small pages

y= Number of full pages

1 x + 1 y = 21 .............1

Total words

1200 x + 1500 y = 27000 .............2

Eliminate y

multiply (1)by -1500

Multiply (2) by 1

-1500 x -1500 y = -31500

1200 x + 1500 y = 27000

Add the two equations

-300 x = -4500

/ -300

x = 15

plug value of x in (1)

1 x + 1 y = 21

15 + y = 21

y = 21 -15

y = 6

y = 6

x= 15 Number of small pages

y= 6 Number of full pages

Answer:

325 pencils, 650 markers, 975 pens.

Answer:

48 cm²

Step-by-step explanation:

shaded area = area of rectangle - area of triangle

area of rectangle = 7 × 8 = 56 cm²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 7 - 3 = 4 cm and h = 8 - 4 = 4 cm

area of triangle = [tex]\frac{1}{2}[/tex] × 4 × 4 = 2 × 4 = 8 cm²

Then

shaded area = 56 - 8 = 48 cm²

Answer:

one property of log is that if the log expressions have the same base (in this case, 2), then you can multiply the added logs.

The answer would then be D

==========================================================

Explanation:

area of rectangle = L*W = 129

L*W = 129

x*(2x-9) = 129

2x^2-9x = 129

2x^2-9x-129 = 0

Apply the quadratic formula. We'll use a = 2, b = -9, c = -129.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-9)\pm\sqrt{(-9)^2-4(2)(-129)}}{2(2)}\\\\x = \frac{9\pm\sqrt{1113}}{4}\\\\x \approx \frac{9\pm33.36165464}{4}\\\\x \approx \frac{9+33.36165464}{4}\ \text{ or } \ x \approx \frac{9-33.36165464}{4}\\\\x \approx \frac{42.36165464}{4}\ \text{ or } \ x \approx \frac{-24.36165462}{4}\\\\x \approx 10.59041366\ \text{ or } \ x \approx -6.09041364\\\\[/tex]

We ignore the negative solution because a negative length makes no sense.

The length is approximately L = 10.5904 cm.

The width is 2L-9 = 2*10.5904-9 = 12.1808 cm approximately.

As a quick check,

L*W = 10.5904*12.1808 = 128.99954432

which isn't too far off from 129. We have rounding error which is why we don't perfectly land on the target area value. If you wanted to get closer to the value 129, then use more decimal digits in the approximations of L and W.

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

If you draw a diagonal in the rectangle, then you form two identical or congruent right triangles.

Focusing on one of those triangles, we have

Apply the pythagorean theorem

a^2+b^2 = c^2

c = sqrt( a^2 + b^2 )

c = sqrt( (10.5904)^2 + (12.1808)^2 )

c = 16.1408940520653

c = 16.14

The diagonal is roughly 16.14 cm long.

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Answer:

  398.2 cm²

Step-by-step explanation:

The area of the whole circle is ...

  A = πr²

  A = π(13 cm)² = 169π cm²

The 270°  sector is 3/4 of the whole circle, so its area is ...

  sector area = (3/4)(169π cm²) ≈ 398.2 cm²

Answer:

0.5675 = 56.75% probability that at least 22 of the 44 students selected are non-history majors.

Step-by-step explanation:

The students are chosen without replacement from the sample, which means that the hypergeometric distribution is used to solve this question. We are working also with a sample with more than 10 history majors and 10 non-history majors, which mean that the normal approximation can be used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Approximation:

We have to use the mean and the standard deviation of the hypergeometric distribution, that is:

[tex]\mu = \frac{nk}{N}[/tex]

[tex]\sigma = \sqrt{\frac{nk(N-k)(N-n)}{N^2(N-1)}}[/tex]

In this question:

88 + 88 = 176 students, which means that [tex]N = 176[/tex]

88 non-history majors, which means that [tex]k = 88[/tex]

44 students are selected, which means that [tex]n = 44[/tex]

Mean and standard deviation:

[tex]\mu = \frac{44*88}{176} = 22[/tex]

[tex]\sigma = \sqrt{\frac{44*88*(176-88)*(176-44)}{176^2(175-1)}} = 2.88[/tex]

What is the probability that at least 22 of the 44 students selected are non-history majors?

Using continuity correction, as the hypergeometric distribution is discrete and the normal is continuous, this is [tex]P(X \geq 22 - 0.5) = P(X \geq 21.5)[/tex], which is 1 subtracted by the p-value of Z when X = 21.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{21.5 - 22}{2.88}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a p-value of 0.4325

1 - 0.4325 = 0.5675

0.5675 = 56.75% probability that at least 22 of the 44 students selected are non-history majors.

Answer:

71

Step-by-step explanation:

Initial angle lies in 4th quadrant

Answer:

1.34 cannot be a correlation coefficient

Step-by-step explanation:

The correlation coefficient must be between (and can include) -1 to 1

1.34 is not  between -1 and 1

Differentiating both sides of

xy = 99

with respect to t yields

x dy/dt + y dx/dt = 0

When x = 11, we have

11y = 99   ==>   y = 9

and we're given that dy/dt = -4 at this point, which means

11 (-4) + 9 dx/dt = 0   ==>   dx/dt = 44/9