As part of your training schedule you plan to jog once a week around the reservoir shown below on the map.


One lap along the perimeter of the reservoir is 25 cm. What is the actual length of a lap?

Answer: The answer is C

Step-by-step explanation:

Answer:

Option C is correct.

Step-by-step explanation:

C. Buying a hammer and buying nails are dependent events. - This is correct.

Two events are said to be dependent on each other, if the occurrence of the first event affects the occurrence of the second event thus changing the probability. Here the probability for both the events is [tex]0.10\times0.40=0.04[/tex]

Multiplication property of equality. C is your answer

Multiplication property can be used for this equation because to get d by itself you have to MULTIPLY both sides by 10 to get d=122

Hope this helps

[tex]\huge\boxed{\text{Greatest common factor}}[/tex]

The greatest common factor is the greatest number that both [tex]44[/tex] and [tex]12[/tex] are divisible by. In this case, it is [tex]4[/tex]. Each number can then be divided by the greatest common factor using the reverse of the distributive property.

You can use the pythagorean theorem to find the side lengths. One is a straight line and it's 7 units. I'll attach a picture of what this looks like, but the side lengths of the other ones are √37 and √72. Add these up to get the perimeter → 21.568 or 21.6 units.

Answer:

The explanation in the procedure

Step-by-step explanation:

we know that

[tex]1\ ft=12\ in[/tex]

In this problem is correct to use the measurement [tex]8\ ft\ 4\ in[/tex] instead of [tex]7\ ft\ 16\ in[/tex]  

because

[tex]16\ in=12\ in+4\ in=1\ ft+4\ in[/tex]

therefore

[tex]7\ ft\ 16\ in=7\ ft\ +1\ ft+4\ in=8\ ft\ 4\ in[/tex]

Answer:A-1/2h(b1+b2)

A-1/2*(10.1)*(30.5+21.4)

A-3296.135 i think

Step-by-step explanation:

To find the area of the unshaded portion of a figure containing a trapezoid and a rhombus, calculate the area of each figure first using their respective formulas. Subtract the area of the overlapping (shaded) region from the total to find the area of the unshaded portion.

The problem asks to find the area of the unshaded portion of a figure, which includes a trapezoid and a rhombus. Since we don't have the specific values of the sides and heights of each figure, a general approach would be to calculate the area of each figure first, then subtract the area of the shaded (overlapping) region from it.

The formula for the area of a trapezoid is A = 1/2 (a+b)h, where 'a' and 'b' are the lengths of the parallel sides and 'h' is the height. For the rhombus, the formula is A = 1/2 (d1 * d2), where 'd1' and 'd2' are the diagonals.

Assuming you can measure and determine the shaded region, you would compute its area as well and subtract this from the total of the previous two calculations. This would give you the area of the unshaded portion.

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Answer:

The correct answer is: descriptive and inferential statistics.

Step-by-step explanation:

The two branches of the study of statistics are generally referred to as descriptive and inferential statistics.

Descriptive statistics are the brief summary statistic which summarizes a given data set, which can be a representation of the entire population or just a sample of it.

While Inferential statistics is the way data analysis is used to deduce the properties of an underlying probability distribution.

The study of statistics generally branches into descriptive statistics, which involves summarizing and displaying data, and inferential statistics, which makes predictions about a population based on sampled data.

The two branches of the study of statistics are generally referred to as descriptive statistics and inferential statistics. Descriptive statistics involves the organization, summarization, and display of data. It seeks to describe a situation or sample population without offering any conclusions or inferences about the data. Examples include calculating averages, measures of central tendency like mean, median, mode, and variability measures such as range, variance, and above all standard deviation.

On the other hand, inferential statistics is a method to make predictions or inferences about a population based on a sample of data. It is used when it is not practical or impossible to examine the entire population. Examples of inferential statistics methods include hypothesis testing, chi-square tests, t-tests, ANOVA, regression analysis etc.

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Answer:

24 outfits

Step-by-step explanation:

Since you have 4 choices of shirts, then 3 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 3 x 2. This gives you 24 outfit options.

Answer:

he spent $135

Step-by-step explanation:

He spent $135

1. 0.6(600)=360

2. 0.375(360)=135

Answer:

[tex] \frac{.7}{1 - .1} = \frac{.7}{.9} = \frac{7}{9} [/tex]

Answer: B. y = 1.560x - 4.105*****

Answer:

Option B.

Step-by-step explanation:

The general equation of best fit line is

[tex]y=mx+b[/tex]              .... (1)

where, m is slope and b is y-intercept.

[tex]m=\frac{\sum_{i=1}^nx_iy_i-n\overline{x}\overline{y}}{\sum_{i=1}^nx_i^2-n\overline{x}^2}[/tex]

[tex]b=\overline{y}-b\overline{x}[/tex]

Using the graphing calculator we get

[tex]m=1.56015\approx 1.560[/tex]

[tex]b=-4.10526\approx -4.105[/tex]

Substitute m=1.560 and b=-4.105 in equation (1).

[tex]y=1.560x-4.105[/tex]

The equation of the line of best fit for the following data y = 1.560x - 4.105.

Therefore, the correct option is B.

Answer: You can use this to help you out:

Determine the term life insurance amount per thousand on a 20-year-old male for a 10-year policy given that the face value of the policy is $65,000 and the annual premium is $291.85.

a.

$0.00449

c.

$0.2227

b.

$4.49

d.

$222.72

First find how many thousands on the amount of the face value

You do that by dividing the amount of the face value by 1000

65,000÷1,000=65

So the term life insurance amount per thousand is

291.85÷65=4.49...answer

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Answer:

a.  $1,377.20

Step-by-step explanation:

To determine the annual premium for the policy, you have to divide the face value by 1,000:

$55,000/1,000= $55

Then, you have to multiply this result for the rate found on the table, which according to the information given is $25.04:

$55*$25.04= $1,377.20

The annual premium for the policy is $1,377.20.

Answer:

5.7 times

Step-by-step explanation:

Answer:

The Second Option is your Answer ( Option 2)

Step-by-step explanation:

1) proof ( replace h with -2)

|-2-2| = 4

|-4| = 4

2) proof ( replace h with 6)

|6-2| = 4

|4|=4

Hopes this helps !

Answer:

[tex]h = -2\\h = 6[/tex]

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function [tex]f(x) = |x|[/tex]  x> 0 for all real numbers.

Then the equation:

[tex]|h-2| = 4[/tex] has two cases

[tex](h-2) = 4[/tex]    if [tex]h > 2[/tex]  (i)

[tex]-(h-2) = 4[/tex]    if [tex]h < 2[/tex] (ii)

We solve the case (i)

[tex]h = 4 + 2\\h = 6[/tex]

We solve the case (ii)

[tex]-h +2 = 4\\h = 2-4\\h = -2[/tex]

Then the solution is:

[tex]h = -2[/tex] or [tex]h = 6[/tex]

A = sinx - sin3x,  

B = -sin3x + sin5x  

First A:  

The average of x and 3x is 2x, and they (x and 3x, that is) are each a distance of x from this average. That's fancy talk for:  

x = 2x-x,  

3x = 2x+x.  

So, A = sin(2x-x) - sin(2x+x)  

Using angle sum formulas:  

A = (sin2x cosx - cos2x sinx) - (sin2x cosx + cos2x sinx)  

A = -2 cos2x sinx  

Similarly,  

B = -sin(4x-x) + sin(4x+x)  

= -(sin4x cosx - cos4x sinx) + (sin4x cosx + cos4x sinx)  

B = 2 cos4x sinx  

Now,  

sinx - 2sin3x + sin5x = A+B = -2 cos2x sinx + 2 cos4x sinx  

= 2 sinx (cos4x - cos2x).  

Sinx-2sin3x+sin5x=2sinx(cos4x-cos2x)  

sinx - 2sin3x + sin5x = sinx - sin(3x) + sin(5x)- sin(3x)

=  2· cos[(x+3x)/2] · sin[(x-3x)/2] + 2·cos[(5x+3x)/2]· sin[(5x-3x)/2]

= 2· cos(2x) ·sin(-x) + 2· cos(4x) · sin(x)

=  -2·cos(2x)·sinx + 2· cos(4x)·sinx

=  2·sinx · [ cos(4x)- cos(2x)]

Answer:

Step-by-step explanation:

Triple 15 = p

Answer:

you multiply all three of these numbers to get an answer of 450

Step-by-step explanation:

Final answer:

The volume of the shoe box is calculated using the formula for the volume of a rectangular prism, resulting in a total of 450 cubic inches.

Explanation:

The formula for finding the volume of a rectangular prism (which is the shape of a shoe box) is Volume = Length × Width × Height. However, before calculating, we need to ensure all dimensions are in the same unit. Since the given width is in mixed number form, we will convert 6 2/3 inches to an improper fraction which is 20/3 inches. We then multiply the length, width, and height.

Volume = (13.5 inches) × (20/3 inches) × (5 inches)
Volume = (13.5 × 20/3 × 5) cubic inches
Volume = (270/3 × 5) cubic inches
Volume = (90 × 5) cubic inches
Volume = 450 cubic inches

The shoe box's volume is 450 cubic inches.

Answer: 69%

Step-by-step explanation:

16820x100= 1682000

1682000÷24365=69.033

Answer:

f(x)⁻¹ = x³ + 2

Step-by-step explanation:

Find the inverse of f(x) = ∛(x - 2).

The first step is to let f(x) = y

y =  ∛(x - 2)

Then make x the subject of the formula

y³ =  [∛(x - 2)]³

y³ = x - 2

x = y³ + 2

∴ f(x)⁻¹ = y³ + 2

Replacing y with x we have.

f(x)⁻¹ = x³ + 2

Answer: 41

Step-by-step explanation:

  (1 × 3) + (2 × 4) + (5 × 6)

=     3    +     8     +    30

=           11            +    30

=                   41

Answer:

answer is 41

Step-by-step explanation:

Answer:

2d + 8

Step-by-step explanation:

twice the number d = 2 × d = 2d and 8 more means add on 8, that is

2d + 8 ← is the variable expression

(d x 2) + 8

deconstruct it from the end of the sentence- twice the number 'd' and add 8

The correct answer is: Triangle MNO

A reflection of a triangle over the X-axis involves flipping the triangle about this axis. Each point in triangle ABC (A, B, and C) is reflected to a corresponding point A', B', and C' in the reflected triangle such that their Y-coordinates are negated while the X-coordinates remain the same.

To understand the concept of the reflection of a triangle, you need to visualize flipping the triangle over a line, in this case, the X-axis. When a triangle named ABC is reflected over the X-axis, the positions of the points change as follows: A (x, y) becomes A' (x,-y), B (x, y) becomes B' (x, -y), and C (x, y) becomes C' (x, -y). Therefore, the triangle that is a reflection of triangle ABC over the X-axis is triangle A'B'C'.

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The veterinarian gave each cat 1/5 of a bottle of medicine. By dividing the total medicine (2/5 of a bottle) by 1/5, we find that there were 2 sick cats.

To find the number of sick cats, we need to divide the amount of medicine given to the cats by the amount given to each cat. Since each cat received 1/5 of a bottle, we can divide the total medicine (2/5 of a bottle) by 1/5 to find the number of cats. This can be done by multiplying the total medicine by the reciprocal of 1/5, which is 5/1.

Therefore, there were 2 sick cats.

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To find out how much ribbon is left after using 1/2 yard from a piece that is 7/8 yard long, convert 1/2 yard to 4/8 and subtract from 7/8, leaving you with 3/8 yard of ribbon remaining.

To determine how much ribbon will remain after using 1/2 yard for a craft project from a piece that measures 7/8 yard, you need to subtract the amount used from the total length you have. Since we are working in yards, ensure both amounts are in the same units. Here are the steps to find the remaining ribbon:

Start with the total length of ribbon: 7/8 yard.

Subtract the length of ribbon used for the project: 1/2 yard.

Convert 1/2 yard to an equivalent fraction with a denominator of 8, which is 4/8 yard.

Subtract 4/8 yard from 7/8 yard to find the remaining length.

7/8 yard - 4/8 yard = 3/8 yard remaining.

So, after using 1/2 yard of ribbon for a craft project, you will have 3/8 yard of ribbon left from the original 7/8 yard piece.

Answer:

Their sign changes.

For this case we have to:

Given two lines:

[tex]y_ {1} = m_ {1} x_ {1} + b_ {1}\\y_ {2} = m_ {2} x_ {2} + b_ {2}[/tex]

By definition, if both lines are perpendicular to each other, then the product of their slopes is -1. That is to say:

[tex]m_ {1} * m_ {2} = - 1[/tex]

ANswer:

The product of the slopes of two perpendicular lines is -1.

Answer:

20 miles

Step-by-step explanation:

The formula for distance is

d =rt  where r  is the rate and t is the time

We need to convert the time to hours since the rate is in mph

15 minutes * 1 hour/ 60 minutes = 1/4 hour = .25 hours

d = (80 mph) * .25 hours

d = 20 miles

The train goes 80 miles in an hour which is 60 minutes. 60 minutes divided by 15 minutes equals 4. 80 miles divided by 4 equals 20 miles. The train went 20 miles in 15 minutes.

Answer:

Step-by-step explanation: 15 + X = 27 Candies

Any Variable Will Work.

Answer:

c + 15 = 27

Step-by-step explanation:

c + 15 = 27

15 is the starting amount.

c is the number of candies her mom put in.

27 is the new total.

Answer: First option

Step-by-step explanation:

By definition, you know that:

[tex]55\°=\frac{170\°-x}{2}[/tex]

Therefore, to calculate the measure of the missing angle, you must solve for x, as you can see below:

- Multiply both sides of the equation by 2.

- Subtract 170 from both sides of the equation.

- Multiply both sides of the equation by -1

Therefore:

[tex]55\°=\frac{170\°-x}{2}\\\\(2)55\°=\frac{170\°-x}{2}(2)\\\\110\°=170\°-x\\110\°-170\°=170\°-x-170\°\\(-1)-60\°=-x(-1)\\x=60\°[/tex]

Da la answer is 60

Step-by-step explanation:

Gradpoint approved