hi :) how to do the last part?

Answer:

$3750 and $4250

Step-by-step explanation:

x + 500 = y

.045x + .035y = 317.50

.045x + .035(x + 500) = 317.50

.045x + .035x + 17.5 = 317.50

.08x = 300.00

x = 3750

y = 4250

Answer:

64° aka D

Step-by-step explanation:

∠J + ∠L + ∠LKJ = 180°

58° + 58° + ∠LKJ = 180°

116° + ∠LKJ = 180°

∠LKJ = 180° - 116°

=  64°

hope i helped

-lvr

Answer:

1.) Zero ( 0 )

2.) 55.47 feet , 8.6 feet

3.) 17.2 feet

Step-by-step explanation:

The height, in feet, of the ball is given by the equation h(x)=−.25x2+4.3x, where x is the number of feet away from the golf club (along the ground) the ball is.

1.) Since the equation has no intercept,

The ball will start zero feet above the ground.

2.) The distance of the ball at the maximum height will be achieved by using the formula

X = -b/2a

Where b = 4.3, a = -0.25

Substitutes both into the formula

X = -4.3 / 2( - 0.25 )

X = - 4.3 / - 0.5

X = 8.6 feet

Substitute X into the function to get the maximum height

h(x) = −.25(8.6)^2 + 4.3(8.6)

h(x) = 18.49 + 36.98

h(x) = 55.47 feet

3) As the ball returns to the ground, the height will be equal to zero, therefore,

0 = -0.25x^2 + 4.3x

0.25x^2 = 4.3x

X = 4.3/0.25

X = 17.2 feet

The ball returns to the ground at about 17.2 feet away

Answer:

99,290

Step-by-step explanation:

99,200 + 10(18/2)

= 99,200 + 10(9)

= 99,200 + 90

= 99,290

Answer:

10 cookies

Step-by-step explanation:

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

The number of cookies sold by Linda will be 10 cookies.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Linda sells cookies for $2 and hamburgers for $3. She sold 25 items and made $60.

The number of cookies sold by Linda will be calculated as below:-

10 x 3 = 30

15 x 2 = 30

30 + 30 = $60

Therefore, the number of cookies sold by Linda will be 10 cookies.

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Answer:

Matched pairs design

Step-by-step explanation:

Looking at the options;

-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.

- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.

-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.

Thus, the correct option is matched pairs design.

Answer:

'll tell you where the problem lies - it is IMPOSSIBLE to form triangles like this.

If the perimeter of the smallest triangle is 6 and one side is 3, then the sum of the other two sides can only be 6 - 3 = 3

One property to enable you to form a triangle is that NO ONE SIDE can be greater or equal to the sum of the other two sides. In the smallest triangle 1 side of length 3 equals the other two sides.

In the middle triangle one side of length "4" equals the sum of the other two sides and

In the large triangle one side of length "5" equals the other two sides.

Therefore when I say "triangle" above I am not actually correct because it is IMPOSSIBLE to form triangles with those dimensions of 1 side and with those perimeters

24 and 16

Step-by-step explanation:

let's assume two part be x and (40 - x)

According to Question,

[tex] x\dfrac{1}{4} = (40 - x) \dfrac{3}{8} [/tex]

[tex] x= \dfrac{3(40 - x)}{2} [/tex]

[tex]2 \times x = 120 - 3x [/tex]

[tex]2x + 3x = 120[/tex]

[tex]5x = 120[/tex]

[tex] \cancel{5}x= \cancel{120}[/tex]

[tex]x = 24[/tex]

Hence one part is 24 and other is (40 - 24) = 16 .

Answer: 24 and 16

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

If you multiply both sides by 1/2, you will get 1/4 at the right side.

So the correct way, to solve h, you have to divide both sides by 1/2.

Answer:

[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]

Step-by-step explanation:

[tex] 4 \sin \theta - 1 = -3 [/tex]

[tex] 4 \sin \theta = -2 [/tex]

[tex] \sin \theta = \dfrac{-2}{4} [/tex]

[tex] \sin \theta = -0.5 [/tex]

For sin θ = 0.5, the reference angle is θ = 30 deg.

[tex] \sin 30^\circ = 0.5 [/tex]

[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]

Confidence interval for mean, when population standard deviation is unknown:

[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = sample mean

n= sample size

s= sample standard deviation

[tex]t_{\alpha/2}[/tex] = Critical t-value for n-1 degrees of freedom

We assume the population has a normal distribution.

Given, n= 19 , s= 3.8 , [tex]\overline{x}=22.4[/tex]

[tex]\alpha=1-0.99=0.01[/tex]

A) Critical t value for [tex]\alpha/2=0.005[/tex] and degree of 18 freedom

[tex]t_{\alpha/2}[/tex] = 2.8784

B) Required confidence interval:

[tex]22.4\pm ( 2.8744)\dfrac{3.8}{\sqrt{19}}\\\\=22.4\pm2.5058\\\\=(22.4-2.5058,\ 22.4+2.5058)=(19.8942,\ 24.9058)\approx(19.9,\ 24.9)[/tex]

Lower bound = 19.9 years

Uppen bound = 24.9 years

C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .

Answer:

A right scalene triangle would have a 90 degree angle and 3 non congruent sides

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

90 degrees clockwise is (x,y)-(y,-x)

Answer:

The answer is A

Step-by-step explanation:

Took the test

Answer:

4a) 110 square centimetres

4b) 127 square centimetres

6) 292 square centimetres

8) 800 tiles

Step-by-step explanation:

4. We need to find the area of the large rectangle and then deduct the area of the unshaded part:

a) The large rectangle has dimensions 12 cm by 15 cm. Its area is:

A = 12 * 15 = 180 square centimetres

The unshaded part has a length of 15 - (3 + 2) cm i.e. 10 cm and a width of 7 cm. Its area is:

a = 10 * 7 = 70 square centimetres

Therefore, the area of the shaded part is:

A - a = 180  - 70 = 110 square centimetres

b) The large rectangle has dimensions 13 cm by 11 cm. Its area is:

A = 13 * 11 = 143 square centimetres

The unshaded part has dimensions 8 cm by 2 cm. Its area is:

a = 8 * 2 = 16 square centimetres

Therefore, the area of the shaded part is:

A - a = 143 - 16 = 127 square centimetres

6. The background area of the space not covered by the photograph is the area of the frame minus the area of the photograph.

The frame has dimensions 24 cm by 18 cm. Therefore, its area is:

A = 24 * 18 = 432 square centimetres

The photograph has dimensions 14 cm by 10 cm. Therefore, its area is:

a = 14 * 10 = 140 square centimetres

Therefore, the background area of the space not covered by the photograph is:

A - a = 432 - 140 = 292 square centimetres

8) The floor has dimensions 8 m by 4 m. The area of the floor is:

A = 8 * 4 = 32 square centimetres

Each square tile has dimensions 20 cm by 20 cm. In metres, that is 0.2 m by 0.2 m. The area of each tile is:

a = 0.2 * 0.2 = 0.04 square metres

The number of tiles that are needed is the area of the floor divided by the area of each tile:

A / a = 32 / 0.04 = 800 tiles

Answer:  C) A = 6, B = -15

Step-by-step explanation:

In order to have infinitely many solutions, you must end up with 0 = 0 when adding the equations together.

 4x  -  Ay  =  15

-4x  + 6y  =  B  

    (6 - A)y = 15 + B

       ↓               ↓

  6 - A = 0      15 + B = 0

        6 = A             B = -15

Answer:

C

Step-by-step explanation:

TOOK THE TEST

Answer:

  0.92

Step-by-step explanation:

Each year, the value declines. This eliminates choices A and D.

The decline from 33000 to 30360 is slightly less than 10%, so the multiplier from one year to the next is slightly more than 1 -10% = 90%. The only choice in range is ...

  0.92 . . . . the third listed choice

Answer:  243 cm²

Step-by-step explanation:  If the diameter is 18, the radius is 9. Each square is  9×9, so 81 cm² for each.   Multiply:  81×3 = 243

Or take the length times width  to get area  27×9= 243

Answer:

The length of longest piece is 105 cm.

Step-by-step explanation:

Given:

Rope is 245 cm long.

Ratio of lengths of first to second piece = 2:3.

Ratio of lengths of second to third piece = 4:5.

To find:

Length of longest piece = ?

Solution:

We are given the ratio of first and second pieces AND

ratio of second and third pieces.

Common link is second piece.

We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.

2:3

  4:5

Multiply 1st ratio by 4 and 2nd ratio by 3:

Now, the ratio becomes:

8:12 and 12:15

And the ratio of three pieces can be represented as:

8: 12: 15, this ratio is the first piece: second piece: third piece

[tex]\Rightarrow 8x+12x+15x = 245\\\Rightarrow 35x = 245\\\Rightarrow x = \dfrac{245}{35}\\\Rightarrow x = 7[/tex]

So, the pieces lengths will be

First piece = [tex]8 \times 7 = 56[/tex] cm

Second piece = [tex]12 \times 7 = 84[/tex] cm

Third piece = [tex]15 \times 7 = 105[/tex] cm

So, the length of longest piece is 105 cm.

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find an equation of a line given two points first find the slope / gradient

Slope of the line using points (-1,4) and (-2,2) is

[tex]m = \frac{2 - 4}{ - 2 + 1} = \frac{ - 2}{ - 1} = 2[/tex]

So the equation of the line using point (-1,4) is

Hope this helps you

Answer:

C.  3

Step-by-step explanation:

Perpendicular lines have slopes that are negative inverses of the other.

This inverse of -1/3 is -3.  The negative of -3 is 3.

The slope of the perpendicular line is 3.

Answer:

The required fraction is 3/5

Answer:  3/5

Step-by-Step Explanation:

Let x represent the denominator of the fraction, then we have [tex]\dfrac{x-2}{x}[/tex]

Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:

[tex]\dfrac{(x-2)+3}{(x)+5}=\dfrac{3}{5}\\\\\\\text{Simplify:}\\\dfrac{x+1}{x+5}=\dfrac{3}{5}\\\\\\\text{Cross Multiply and solve for x:}\\5(x+1)=3(x+5)\\5x+5=3x+15\\2x=10\\x=5[/tex]

Substitute x = 5 into the original fraction:

[tex]\dfrac{(5)-2}{(5)}\quad =\large\boxed{\dfrac{3}{5}}[/tex]

Complete Question:

Identify the type of sampling used​ (random, systematic,​ convenience, stratified, or cluster​ sampling) in the situation described below;

A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher ​use?

Answer:

Systematic sampling.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Convenience sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Systematic sampling.

A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.

Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.

In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.

Hence, the type of sampling used by the researcher ​is systematic sampling.

Answer:

63.4°

Step-by-step explanation:

y = 2x - 1

dy/dx = 2

∴ The angle is arc tan(2) = tan^-1(2) = 63.4°

Answer:

HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2

HOPE THIS HELPS AND PLS MARK AS BRAINLIEST

THNXX :)

HCF is b since we take the least value. That's it. When the two numbers have same base, the LCM will be the base with greater power. So the answer is LCM = b^2.

Answer:

You just need to demonstrate that the expression is not equivalent. To do that, we just need to evaluate the expression with a specific number.

[tex]\frac{3}{8}x+2 \neq \frac{3}{2}x+5[/tex]

For [tex]x=0[/tex], we have

[tex]\frac{3}{8}(0)+2 \neq \frac{3}{2}(0)+5\\2 \neq 5[/tex]

Notice that the answer is true because 2 is not equivalent to 5.

Therefore, the expression is actually non-equivalent.

Answer:

C

Step-by-step explanation:

The abscissa is the value of the x- coordinate and the ordinate is the value of the y- coordinate.

Since the point is in the second quadrant then x- coordinate will be negative and the y- coordinate positive.

C is the only point which meets this condition and

- 3 = 2(1) - 5 = 2 - 5 = - 3 ( 5 less than twice the ordinate) → C

Answer:

option c is the right answer

Answer:

1. The amount of ice needed = 18 m²

2. The amount of fabric needed to manufacture the umbrella is 0.76 m²

3. The height of the cone, is 3.75 cm

4. The dimensions of the deck are;

Width = 28/3 m, breadth = 28/3 m

The area be 87.11 m²

5.   The dimensions of the optimal design for setting the storage area at the corner, we have;

Width = 10m

Breadth = 10 m

The dimensions of the optimal design for setting the storage area at the back of their building are;

Width = 7·√2 m

Breadth = 7·√2 m

Step-by-step explanation:

1. The amount of ice needed is given by the volume, V, of the pyramid given by V = 1/3 × Base area × Height

The base area = Base width × Base breadth = 3 × 5 = 15 m²

The pyramid height = 3.6 m

The volume of the pyramid = 1/3*15*3.6 = 18 m²

The amount of ice needed = 18 m²

2. The surface area of the umbrella = The surface area of a cone (without the base)

The surface area of a cone (without the base) = π×r×l

Where:

r = The radius of the cone = 0.4 m

l = The slant height = √(h² + r²)

h = The height of the cone = 0.45 m

l = √(0.45² + 0.4²) = 0.6021 m

The surface area = π×0.4×0.6021 = 0.76 m²

The surface area of a cone (without the base) = 0.76 m²

The surface area of the umbrella = 0.76 m²

The amount of fabric needed to manufacture the umbrella = The surface area of the umbrella = 0.76 m²

3. The volume, V, of the cone = 1/3×Base area, A, ×Height, h

The volume of the cone V = 150 cm³

The base area of the cone A = 120 cm²

Therefore we have;

V = 1/3×A×h

The height of the cone, h = 3×V/A = 3*150/120 = 3.75 cm

4. Given that the deck will have railings on three sides, we have;

Maximum dimension = The dimension of a square as it is the product of two  equal maximum obtainable numbers

Therefore, since the deck will have only three sides, we have that the length of each side are equal and the fourth side can accommodate any dimension of the other sides giving the maximum dimension of each side as 28/3

The dimensions of the deck are width = 28/3 m, breadth = 28/3 m

The area will then be 28/3×28/3 = 784/9 = [tex]87\frac{1}{9}[/tex] =87.11 m²

5. The optimal design for setting the storage area at the corner of their property with four sides is having the dimensions to be that of of a square with equal sides of 10 m each as follows;

Width = 10m

Breadth = 10 m

The optimal design to have the storage area at the back of their building having a fence on only three sides, is given as follows;

Storage area specified = 98 m²

For optimal use of fencing, we have optimal side size of fencing = s = Side length of a square

s² = 98 m²

Therefore, s = √98 = 7·√2 m

Which gives the width = 7·√2 m and the breadth = 7·√2 m.

Answer:

7 batches

Step-by-step explanation:

Answer:

The third one.

Step-by-step explanation:

The last bar graph is skewed to the right, since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs. The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.

Comparatively, bar graphs one and two have approximately symmetrical distributions of numbers on both sides of the central bar. This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.

A bar graph. The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1 is data distribution would most likely have a mean and median that are not close in value.

We have to determine, which data distribution would most likely have a mean and median that are not close in value.

According to the question,

The mean and the median both reflect the skewing, but the mean reflects it more.

The last bar graph is skewed to the right since the values of its fourth and fifth bars are way smaller than the values of its first, second, and third graphs.

The drastically smaller values pull down the mean of the last bar graph, making it be more different from the median.

The mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median.

Bar graphs one and two have approximately symmetrical distributions on both sides of the central bar.

This means that their mean is balanced out on both sides and that neither of them is significantly skewed left or right.

Hence, The horizontal axis is unnumbered. The vertical axis is numbered 0 to 50. The first bar is 38. The second bar is 43. The third bar is 21. The fourth bar is 5. The fifth bar is 1.

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