find the missing side lengths

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

Answer:

There seems to be m linear relation between te data.

Negative relationships between variables.

Step-by-step explanation:

Speed(X)

60

60

60

60

80

80

80

80

100

100

100

100

120

120

120

120

140

140

140

140

Lifetime (Y) :

4.6

3.8

4.9

4.5

4.7

5.8

5.5

5.4

5

4.5

3.2

4.8

4.1

4.5

4

3.8

3.6

3

3.5

3.4

The linear regression equation obtained by fitting the data using a regression model is :

ŷ = -0.017X + 6.03

From the regression plot, the relationship between the two variables, speed and lifetime is negative, that is an increase in one variable will lead to a corresponding decrease in the other.

Answer:

B - Centers: The Asian elephants have a lower median height than the African elephants

D - Spreads: The heights of the African elephants are more spread out

Step-by-step explanation:

On analyzing the dot plots, we find that the heights of the African elephants are more spread out and the Asian elephants have a lower median height than African elephants.

Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.

Median of height of Asian elephants = 8 ft

Median of height of African elephants = 11 ft

This implies that the Asian elephants have a lower median height than African elephants.

Spread describes the variation of the data. One of the measures of spread is range.

Range of height of Asian elephants = 4ft

Range of height of African elephants = 10ft

This implies that the height of African elephants are more spread out.

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Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

Answer:

20 patients

Step-by-step explanation:

4/5 of 25 is 20

Refer to the diagram below. We have the following points

The shadow extends from point B to point C. If we let x be the the horizontal distance from the lamp to the person, then dx/dt represents the speed at which the person is walking away from the lamp. In this case, dx/dt = 4 feet per second.

Let y be the length of the shadow. We can use similar triangles and proportions to help find what y is equal to in terms of x

AD/BE = AC/BC

15/6 = (x+y)/y

15y = 6(x+y)

15y = 6x+6y

15y-6y = 6x

9y = 6x

y = 6x/9

y = 2x/3

y = (2/3)*x

The length of the shadow is 2/3 that of the distance from the person to the lamp.

Now apply the derivative to both sides to compute dy/dt, which represents how fast the shadow is changing.

y = (2/3)x

dy/dt = d/dt[ (2/3)x ]

dy/dt = (2/3)*d/dt[ x ]

dy/dt = (2/3)*dx/dt

dy/dt = (2/3)*4

dy/dt = 2.667

The rate in which the shadow is lengthening is approximately 2.667 ft per second.

Answer:

D      

Step-by-step explanation:

if every 2 cm on the map=10 miles, I can use my basic knowledge to find out how many cm will equal 70, in this case I can multiply 7 on both sides to find out how many cm on the map will equal 70, so 2(7)cm=10(7)mi will result as 14cm=70mi. Even though the answer seems pretty clear I can round my answer closer to 2 or I can double check by dividing 74 by 10=7.4 times the 2 cm which gets me 14.8.

Answer:

(30*2)/49

Step-by-step explanation:

let her morning walk distance be x

her evening distance walk =2 1/2 x

= 5x/2

her daily walk distance =5x/2+x

= 5x/2+2x/2=7x/2

her weekly walk distace= 7x/2*7=49x/2=30miles

x= (30*2)/49

Answer:

on the pic

Step-by-step explanation:

substitute the x with 1

Answer:

f(1)=44

Step-by-step explanation:

Wherever you see x, you will replace it with 1

so, 5(8)1+4

(40)1+4

40+4

=44

Answer:

-1 , 5 for the original figure and 7, 2 for the final figure

Step-by-step explanation:

Self Explanatory

If you want explanation, comment on this answer and I will tell you

Answer:

1.39285714286

Step-by-step explanation:

[tex]1\frac{1}{3} + 2\frac{1}{4} = \frac{3*1+1}{3} + \frac{4*2+1}{4} = \frac{4}{3} + \frac{9}{4} = \frac{4*4}{3*4} + \frac{9*3}{4*3} = \frac{16}{12} + \frac{27}{12} = \frac{16+27}{12}=\frac{23}{12} = 1\frac{11}{12}[/tex]

Answer:

c

Step-by-step explanation:

trust

9514 1404 393

Answer:

   C. C,D,A,B,E

Step-by-step explanation:

The first set of coordinates, (-3, 4) and (3, 4) are on the horizontal line y=4. The distance between them is the difference of their x-values: 3 -(-3) = 6. This is the third distance on the list, so 'A' will be 3rd in the sequence of matching.

Choices A and C have 'A' listed 3rd.

__

The second set of coordinates (-5, 3) and (-5, 11) are on the vertical line x=-5. The distance between them is the difference of their y-values: 11 -3 = 8. This is the 4th distance on the list, so 'B' will be 4th in the sequence of matching.

Choice C has 'B' listed 4th.

The appropriate sequence of matching is ...

  C, D, A, B, E

_____

Additional comment

In this problem, as in most multiple-choice problems, it isn't necessary to find the complete answer. It is only necessary to find enough of the answer to determine the correct choice among those offered. You do need to know enough about how to work the problem to be able to tell a correct choice from an incorrect one. Knowing the required relationships is useful; slogging through the arithmetic is often not necessary.

Answer:

C. C,D,A,B,E

Step-by-step explanation:

Answer:

[tex]\sigma_x = 0.57[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 6[/tex]

See attachment

Required

Calculate [tex]\sigma_x[/tex]

This is calculated as:

[tex]\sigma_x = \sqrt{Var(x)}[/tex]

Where

[tex]Var(x) =\sum (x - \mu_x)^2 * P(x)[/tex]

So, we have:

[tex]Var(x) =(0 - 0.4)^2 * 0.64 + (1 - 0.4)^2 * 0.32 + (2 - 0.4)^2 * 0.04[/tex]

Using a calculator

[tex]Var(x) =0.32[/tex]

[tex]\sigma_x = \sqrt{Var(x)[/tex]

[tex]\sigma_x = \sqrt{0.32[/tex]

[tex]\sigma_x = 0.57[/tex] --- approximated

Answer:

R = - 0.9453

T = - 5.019

Pvalue = 0.212

Step-by-step explanation:

Given the data:

Lemon_Imports_(x)

230

264

359

482

531

Crash_Fatality_Rate_(y):

15.8

15.6

15.5

15.3

14.9

The Correlation Coefficient, R using a correlation Coefficient calculator is - 0.9453 ; this depicts a strong negative correlation between the dependent and independent variable.

The test statistic, T :

T = r / √(1 - r²) / (n - 2)

T = -0.9453/ √(1 - (-0.9453)²) / (5 - 2)

T = - 0.9453 / 0.1883329

T = - 5.019

The Pvalue using a Pearson Pvalue calculator ;

df = n - 1 = 5 - 2 = 3 ; r = - 0.9453

Pvalue = 0.212

Answer:

95%

Step-by-step explanation:

Answer: 5/2

Explanation:

According to 30-60-90 triangle rule:

The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2

Answer:

C.

Step-by-step explanation:

The numbers in the front will be the first number and the ones behind it will be the second number.

So the numbers are 79,82,82,83,86,90,91,93,94 and 97

Then you want to add the lowest number and the greatest number which is 79 and 97

equals to 176

Answer:

123 m²

Step-by-step explanation:

Surface area of the object = surface area of the bigger rectangular prism + (surface area of the smaller rectangular prism - area of the smaller rectangular prism base)

Surface area of the bigger rectangular prism:

L = 7 m

W = 3 m

H = 3 m

S.A = 2(LW + WH + LH)

S.A = 2(7*3 + 3*3 + 7*3)

S.A = 102 m²

Surface area of the smaller rectangular prism:

L = 3 m

W = 3 m

H = 1 m

S.A = 2(LW + WH + LH)

S.A = 2(3*3 + 3*1 + 3*1)

S.A = 30 m²

Area of the base of the smaller rectangular prism = L*W

L = 3 m

W = 3 m

Area = 3*3 = 9 m²

Surface area of the object = 102 + (30 - 9)

= 102 + 21

= 123 m²

Answer:

Step-by-step explanation:

BD is opposite the 30° angle. The sine of 30° is 0.5. The sin of an angle in a right triangle is opposite/hypotenuse so BD = sin 30°x8.

Now you have two known lengths The third can be found by applying the Pythagorean theorem: BC²+BD²=CD², from which you can establish a numerical value for BC.

Answer:

The probability of rolling 4 is 1/6.”

Answer:

1/6

Step-by-step explanation:

no: of 4rs i a dice = 1

total no: on dice = 6

possibility = 1/6

I hope im right!

The vertex of the parabola f(x) = 2x^2 - 4x + 6 is (1, 4)

The function is given as:

f(x) = 2x^2 - 4x + 6

Differentiate the function

f'(x) = 4x - 4

Set to 0

4x -4 =0

So, we have:

4x = 4

Divide by 4

x = 1

Substitute x = 1 in f(x) = 2x^2 - 4x + 6

f(1) = 2(1)^2 - 4(1) + 6

This gives

f(1) = 4

This means that the vertex is (1, 4)

Next, we set x = 0.

So, we have:

f(0) = 2(0)^2 - 4(0) + 6

This gives

f(0) = 6

This means that the parabola passes through the point (0, 6)

See attachment for the parabola

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Answer:

D.   12/13

Step-by-step explanation:

Hyp = √( (-20)² + 48² )

Hyp = 52

Sin = opp/hyp

sin = 48/52 = 12/13

The value of trigonometric ratio Sinθ = 12/13.

Hence option D is correct.

According to the given point

The base of the triangle be = -20

Perpendicular of triangle = 48

We know that the Pythagoras theorem for a right-angled triangle:

(Hypotenuse)²= (Perpendicular)² + (Base)²

Therefore,

Hypotenuse = √( (-20)² + 48² )

Hypotenuse = 52

Since we know that,

Sinθ = opposite side of θ /hypotenuse

        =  48/52

        = 12/13

Hence,

Sinθ = 12/13

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The complete question is:

A point (-20, 48 ) is on the terminal side of angle θ .

Find the exact value of Sinθ.

A. 5/13

B. -5/13

C. -12/13

D. 12/13

Answer:

a) 2

b)

0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.

0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.

0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.

0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.

c) 0.1428 = 14.28% probability that delays will occur

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

a. What is the mean or expected number of customers that will arrive in a five-minute period?

0.4 customers per minute, so for five minutes, this is [tex]\mu = 5*0.4 = 2[/tex]

b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period.

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]

0.1353 = 13.53% probability that exactly 0 customers will arrive during a five-minute period.

[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]

0.2707 = 27.07% probability that exactly 1 customer will arrive during a five-minute period.

[tex]P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707[/tex]

0.2707 = 27.07% probability that exactly 2 customers will arrive during a five-minute period.

[tex]P(X =3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1805[/tex]

0.1805 = 18.05% probability that exactly 3 customers will arrive during a five-minute period.

c. Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur?

This is:

[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]

In which:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1353 + 0.2707 + 0.2707 + 0.1805 = 0.8572[/tex]

[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8572 = 0.1428[/tex]

0.1428 = 14.28% probability that delays will occur

Answer:

The answer is A.

Step-by-step explanation:

Put in all the numbers given to us:

m = 3

t = 10

p = 2

3-10^2/(3+2)+2*10 = 3

Answer:

cosB = 0.91

Step-by-step explanation:

Draw a picuture!

cosB = adj/hyp

cosB = DC / CB

cosB = 77 / 85

cosB = 0.91

In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36. The value of the cosine of ∠B to the nearest hundredth, cos B = 0.91.

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

These are defined only in right-angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

In ΔBCD, the measure of ∠D=90°, CB = 85, DC = 77, and BD = 36.

We know that

cos B = adj/hyp

cos B = DC / CB

cos B = 77 / 85

cos B = 0.91

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6. 24

7. 40

8. 16

9. 10

10. 18

11. 36

12. 24

13. 22

I haven't done these kinds of problems in a while so sorry if any of them are wrong :(

Have a good day :)

the answer is ssmsmsmsmsmememememeememekekeke

Answer:

Step-by-step explanation:

tan(43) = 1347/x

Multiply by x to bring it to the other side.

x*tan(43) = 1347

Divide by tan(43) to get x by itself.

x = 1347/tan(43)

Use the tan and cot relationship.

x = 1347 * cot(43)

Multiply.

x ≈ 1444.5