Examine the geometric relationship in the diagram below which option shows the correct value of x and y

Answer:

221

Step-by-step explanation:

5(3)2-4

Answer:

221

Step-by-step explanation:

Answer:

a) 0.3 liters

b) 3 ÷ 10 = 0.3 liters

Step-by-step explanation:

3 ÷ 10

3 × 1/10

0.3

Answer:

the maximum area enclosed = 1125000sq. ft.

Step-by-step explanation:

Let each side perpendicular to the river be "x".

Then the side parallel to the river is "3000-2x".

Now, area of the rectangle

A(x) = (3000-2x)x

A(x) = -2x^2+3000x

Which is a quadratic equation with a = -2 and b = 3000

Maximum area occurs where x = -b/2a

x = -3000/(-2×2) = 750 ft.

Therefore, width of rectangle x = 750 ft

Now, length = 3000-2(750) = 1500 ft.

Therefore, the maximum area enclosed = 1500×750 =  1125000 sq. ft.

Answer:

D. -2/7

Step-by-step explanation:

Answer:

Area of circle = 465.82 cm²

Step-by-step explanation:

Given the following data;

Circumference of the hub cap = 76.49 cm

Pie, π = 3.14

To find the area of the hub cap;

First of all, we would determine the radius of the hub cap.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Where:

C is the circumference of a circle.

r is the radius of a circle.

C = 2πr

76.49 = 2 * 3.14 * r

76.49 = 6.28r

Radius, r = 76.49/6.28

Radius, r = 12.18 cm

Next, we find the area of the hub cap;

Area of circle = πr²

Area of circle = 3.14 * 12.18²

Area of circle = 3.14 * 148.35

Area of circle = 465.82 cm²

However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.

Answer:

a. Z = -1.175.

b. Z = 1.34.

c. |Z| = 2.054.

d. |Z| = 1.28.

Step-by-step explanation:

Z-score:

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.

a. The critical z-score for a left-tailed test at a 12% significance level

Left-tailed test: The region of interest is the 12th percentile or below.

Thus, the critical z-score is Z with a p-value of 0.12, so Z = -1.175.

b. The critical z-score for a right-tailed test at a 9% significance level

Right-tailed test: The region of interest is the 100 - 9 = 91th percentile and above.

Thus, the critical z-score is Z with a p-value of 0.91, so Z = 1.34.

c. The critical z-score for a two-sided test at a 4% significance level is 1.75.

Two-tailed test: The region of interest is between the 4/2 = 2th percentile and the 100 - (4/2) = 98th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.02 or 0.98, so |Z| = 2.054.

d. The critical z-score for a two-sided test at a 20% significance level is 0.85.

Region of interest is between the 20/2 = 10th percentile and the 100 - (20/2) = 90th percentile.

Thus, the critical z-score is |Z| with a p-value of 0.1 or 0.9, so |Z| = 1.28.

Answer:

Slope = 15/4

Step-by-step explanation:

Use the slope formula and you'll get the same answer.

Hope this helps:)

Answer:

The answer seems to be 3/1.

Step-by-step explanation:

Use the equation:

(y2-y1)/(x2-x1)

Answer:

From the origin , move 3 units to the right and 2 units up. B

Answer:

6

Step-by-step explanation:

KL = 26-(11+9) = 26-20 =6

Answer:

KL is 6

Step-by-step explanation:

IL is 26, IJ = 9 JK= 11

IL= IJ + JK + KL

26= 9 + 11 + KL

Rearrange

KL= 9 + 11 - 26

    = 6

Answer:

you see on the right where the ( - ) are put the dot at -3 which is on the line because y } -x (which means your on the negative side) + 3 is -6 so put the dot on 6

Answer:

Option B. ( x=1,-5/2 Or x=-5/2,1)

Step-by-step explanation:

2x2+3x−5=0

Step 1: Factor left side of equation.

(2x+5)(x−1)=0

Step 2: Set factors equal to 0.

2x+5=0 or x−1=0

x=−5/2  or x=1  

(The Answer you can just switch it around but dont worry its still the same answer nothing change...)

Answer:

x = (-1 ± √21) / 2

The first choice

Step-by-step explanation:

x² = 5 - x

Put in standard form

x² + x - 5 = 0

Use quadratic equation

x = ( -b ± √( b² - 4ac) ) / (2a)

Plug in a = 1, b = 1 , c = -5

x = (-1 ± √( 1² - 4*1*(-5)) ) / 2

evaluate

x = (-1 ± √21) / 2

Answer:

l=15

Step-by-step explanation:

let length=l

width=w

l=3w-2

w=(l+2)/3

Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43

2(4l+2)≤129

8l+4≤129

8l≤125

l≤125/8

so l=15

________________

P=2(l+w)=2(3w-2+w)=8w-4≤43

8w≤47

w≤47/8

l≤141/8-2

l≤125/8

l=15

The Fourier series expansion of f(x) is

[tex]\displaystyle\frac{a_0}2+\displaystyle\sum_{n=1}^\infty \left(a_n\cos\left(\frac{2\pi nx}P\right)+b_n\sin\left(\frac{2\pi nx}P\right)\right)[/tex]

where P = 4 is the period of f(x), and the coefficients are

[tex]a_0=\displaystyle\frac2P\int_{-2}^2f(x)\,\mathrm dx=2[/tex]

[tex]a_n=\displaystyle\frac2P\int_{-2}^2f(x)\cos\left(\frac{2\pi nx}P\right)\,\mathrm dx=\frac{2\sin(n\pi)}{n\pi}=0[/tex]

[tex]b_n=\displaystyle\frac2P\int_{-2}^2f(x)\sin\left(\frac{2\pi nx}P\right)\,\mathrm dx=\frac{2(\cos(n\pi)-1)}{n\pi}=\begin{cases}0&\text{for }n=2k\\-\frac4{(2k-1)\pi}&\text{for }n=2k-1\end{cases}[/tex]

(where k is a positive integer)

The series for f(x) reduces to

[tex]\displaystyle f(x)=1-\displaystyle\sum_{k=1}^\infty \frac4{(2k-1)\pi}\sin\left(\frac{\pi(2k-1)x}2\right)[/tex]

(I've attached a plot showing the original function in blue and the Fourier expansion with k = 10 terms)

Answer:

D

Step-by-step explanation:

From the given scatter plot, it is positive correlation.

Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.

Interpretation of correlation

From the given graph,

The coordinates points are in increasing order.

Therefore, the correlation is positive.

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Answer:

i have no idea

Step-by-step explanation:

Answer:

56 cm squared

Step-by-step explanation:

First things first: Cop one triangle off the rectangle, and attach it to the other one, so the shape looks like a L

Now I can actually solve this:

The left side is 8 cm (because y = 8 cm)

The top is 10 cm

The middle is 6 cm

The inside left is 3 cm

And the very bottom is 2 cm

First, we'll solve for the newly constructed rectangle: 3 x 2. That equals 6.

Next, solve for the longer rectangle: 10 x 5. That's 50.

Now, add the two areas, and we get 56. So the area of the whole thing is 56 cm squared.

(Please keep in mind that I could be wrong, so double check it for me, thanks!)

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

Explanation:

You can use the nCr formula shown below

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

where n = 39 and r = 1. However, you could also use the identity

[tex]_n C _{1} = n[/tex]

which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.

Answer:

hii im looking at the same thing  you just have to do the multiplication on that

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

That's the answer below

7!/(3!2!)

=420

OPTION A is the correct answer

The intersection of event A and B is given by P( A∩B) , Option A is the correct answer.

Probability is the likeliness of an event to happen.

It is given that the Probability of two independent event A and B is given by

P(A)  and P(B)

The intersection of event A and B is given by

P( A∩B)

Therefore Option A is the correct answer.

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Answer:

436.42 m

Step-by-step explanation:

We are to determine the perimeter of the field

perimeter = perimeter of rectangle + perimeter of the two semicircles

Perimeter of a rectangle = 2 x (length + breadth)

2 x (82 + 53) = 270m

Perimeter of a semicircle = 1/2πD

perimeter of the 2 semicircles = 2 x (1/2 x 3.14 x 53) = 166.42

Perimeter = 270 + 166.42 = 436.42 m

9514 1404 393

Answer:

  152

Step-by-step explanation:

The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...

  the largest value of the group is 152

_____

The numbers are 144, 146, 148, 150, 152.

The largest number when sum of five consecutive even integers is 740 is 152.

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Example: 1,2,3,4,5,6

                1,3,5,7,9,11

                 2,4,6,8,10,12

Difference between nearer numbers always equal

Given,

There are 5 consecutive even integers.

Then difference between each nearer number is 2

Let the first number be x

Then another 4 numbers be

(x + 2), (x + 4), (x + 6), (x + 8)

Now

According to question

(x + x + 2 + x + 4 + x + 6 + x + 8) = 740

5x = 740 - 20

x = 144

And the highest number is x + 8 = 152

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It was some mistake in previous one so i edited this one.

Answer:

19:13

Step-by-step explanation:

Put the number of oranges to Lemons, 19 to 13 or 19:13

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

correct√

Step-by-step explanation:

oranges=19

lemons=13

oranges to lemons = 19:13

Answer:

[tex]C = 29.53x[/tex]

Step-by-step explanation:

Given

[tex]Unit\ cost = \$29.53[/tex]

Required

The cost of fencing (C)

The cost is calculated as:

[tex]C = Unit\ Cost * Perimeter\ of fencing[/tex]

Let:

[tex]x \to Perimeter\ of fencing[/tex]

So, we have:

[tex]C = Unit\ Cost * x[/tex]

[tex]C = 29.53 * x[/tex]

[tex]C = 29.53x[/tex]

The question cannot be solved further since the dimension of the fence is not given

If you know the dimension, calculate the fence perimeter and substitute the value for x

Answer:

[tex]n = \frac{20}{7}[/tex]

Step-by-step explanation:

[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]

Answer:

n = 20/7

Step-by-step explanation:

4n+5=25-3n

Add 3n to each side

4n+3n+5=25-3n+3n

7n +5 = 25

Subtract 5 from each side

7n+5-5=25-5

7n = 20

Divide by 7

7n/7 = 20/7

n = 20/7

Answer:

A) P ( chicken is small ) = 0.3085,  P ( chicken is medium ) = 0.6621

   P (chicken is large ) = 0.0294

B) C = 3.9233

C) 0.1404

Step-by-step explanation:

A) Probabilities

i) P ( chicken is small )

 P( w ≤ 3.5 ) = Fw ( 3 .5 )

                    = F ( 3.5 - 3.8 / 0.6 )

                    = F ( -0.5 ) = 1 - F( 0.5 ) [∵ F(-x) 1 - F(x) ]

                    = 1 - 0.6915 ( from Table )

                    = 0.3085

ii) P ( chicken is medium )

  P ( 3.5 < w < 4.9 )

  P ( w < 4.9 ) - P ( w < 3.5 )

= Fw ( 4.9 ) - Fw ( 3.5 )

= F ( 4.9 - 3.8 / 0.6 ) - 0.3085

= 0.9706 - 0.3085 = 0.6621  

iii) P (chicken is large )

= P ( w > 4.9 )

= 1 - P ( w < 4.9 )

= 1 - Fw ( 4.9 ) = 1 - 0.9706 = 0.0294

B) Find c

Given:  P( w < c ) = 0.6

Fw ( c ) = 0.6

F ( c - 3.8 / 0.6 ) = 0.6

c - 3.8 / 0.6 = 0.2055 ( from table )

∴C = 3.9233

C) P ( 3 out of 5 = small )

P ( 3 of 5 = small ) = 0.1404

attached below is a detailed solution