Dot plot 1 is the top plot. Dot plot 2 is the bottom plot.
According to the dot plots, which statement is true?
Х
The range of the data in dot plot 1 is less
than the range of the data in dot plot 2.
10
The mean of the data in dot plot 1 is
greater than the mean of the data in data
plot 2.
Х
х
The median of the data in dot plot 1 is
equal to the median of the data in dot plot
2.
The mode of the data in dot plot 1 is less
than the mode of the data in dot plot 2.

Answer:

the answer is 3,765

so the estimate is 4,000

B. About 4,000

Answer:

Multiply each side by −5, add 25 to each side.

Step-by-step explanation:

Answer:

n=4

Step-by-step explanation:

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Given =

n=6,

r=1/4

a=2

Sn = a+ar+ar²+ar³+ar⁴+ar⁵= 2+0.5+0.125+0.03125+0.0078125+0.00195~ 2.67

Answer:

14

Step-by-step explanation:

Because 1/4 of women have a disability, you would expect 1/4 * 56 = 14 women to have a disability out of 56 women.

Answer:

224

Step-by-step explanation:

You divide 56 divided by 1/4 and you will get your answer

Answer:

I'm going out on a branch and say B

Okay, here we have this:

Answer:

2.5

Step-by-step explanation:

multiply -5 by -1/2

The Perimeter of a triangle ΔABC  is 27.68

Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)

We need to find the perimeter of a triangle as

Perimeter of a triangle ΔABC = AB + BC +CA

Now we need to find distances as

D = √ (x₂ - x₁)² + ( y₂ - y₁ )²

AB = √ (4 - (-2))² + (  3 - (-1) )²

     = √ ( 4 + 2 )² + ( 3+1 )²

    = √ (6)² + (4)²

    = √ 36 + 16

    = √ 52

    = 7.21

BC = √ ((-5) - (4))² + (  7 - (3) )²

     = √ (-5 -4 )² + ( 7-3 )²

    = √ (-9)² + (4)²

    = √ 81 + 16

    = √ 97

    = 9.84

AC = √ ((-5) - (-2))² + (  7 - (-1) )²

     = √ (-5 -2 )² + ( 7+1)²

    = √ (-7)² + (8)²

    = √ 49 + 64

    = √ 113

    = 10.63

Perimeter of a triangle ΔABC = AB + BC +CA

                                                 = 7.21 + 9.84 + 10.63

                                                 = 27.68

Therefore, the Perimeter of the given triangle ΔABC  = 27.68

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The rocket's maximum height is 800 feet. It reached its maximum height at 5 seconds after launch.

To solve this problem, we need to find the vertex of the parabola represented by the equation Y= -16t^2+160t. The vertex of a parabola is the point where the parabola changes direction, from increasing to decreasing or vice versa.

The vertex of the parabola is given by the following formula:

(-b/2a, c - b^2/4a)

In this case, the value of b is 160 and the value of a is -16. Plugging these values into the formula, we get the following:

(-160/2(-16), 800 - 160^2/4(-16))

(5, 800)

Therefore, the rocket reached its maximum height at 5 seconds after launch. The maximum height is 800 feet.

36.25 miles

According to the question there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

A website is a collection of related web pages, images, videos, and other digital assets that are hosted on a web server and can be accessed by users over the internet. A website is typically identified by a unique domain name and can be accessed by typing the URL into a web browser.

Using the formula for calculating the number of combinations of size k from a set of size n (n choose k), we can calculate the number of distinct website graphics that can be created by using at least four of seven different bitmap images as follows:

n = 7 (7 different bitmap images)
k = 4 (at least 4 of the 7 bitmap images)
Number of distinct website graphics = (7 choose 4) = 35
Therefore, there are 35 distinct website graphics that can be created by using at least four of seven different bitmap images.

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If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Answer:

B. 72 yd^3

Step-by-step explanation:

First we find the area of the base, which is the triangle.

Area = (1/2)(base)(height)

A = 1/2(3)(8) = 1/2(24) = 12

Multiply that base area by the height (6)

12 x 6 = 72

Answer:

OD

Step-by-step explanation:

an angle that is more than 90 is considered a acute angles

The correct option for an open statement is:

C) XYZ is an acute angle.

The answer is C.  We don't know if it's true or false.  

Here, we have,

we know that,

An open statement is one that can be true or false depending on the value or condition being discussed.

In this case, the statement "An angle that measures 95° is an acute angle" is an open statement because it can be evaluated as true or false based on the definition of an acute angle.

An acute angle is defined as an angle that measures less than 90 degrees.

Since 95° is greater than 90°, the statement is false.

However, if we were discussing a different angle measure, the statement could be true or false depending on its value.

Options A and B are not open statements because they provide specific angle measures (40° and 95°) and classify them as either acute or obtuse, which can be determined as true or false based on their given measures.

Option C does not provide any specific information or condition,

We don't know if it's true or false.  

The correct option for an open statement is:

C) XYZ is an acute angle.

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P(-3,5)

Image: (-4,3)

x coordinate:

-3+a = -4

Solve for a

a=-4+3

a= -1

y coordinate:

5+b =3

b =3-5

b= -2

So:

(x-1, y-2)

Since Angie has 12 3/4 yards of fabric and all and each costume requires 7/8 yards, you can divide 12 3/4 by 7/8.

12 3/4 ÷ 7/8

= 51/4 ÷ 7/8

= 51/4 • 8/7 (remember that dividing by a fraction is the same thing as multiplying by it’s reciprocal)

= 51/1 • 2/7 (after simplifying)

= 102/7

= 14 4/7

Angie can make 14 costumes. She cannot make the 15th one because she’ll run short of fabric.

Answer:

. A prime factor of x is a prime number that divides x correctly (so that the rest is equal to 0). 1386 = 2*3*3*7*11 in our situation. This result can be obtained by dividing the number (1386) by 2, 3, 5, 7, 11, and so on. You utilise the result you get every time you successfully divide it by a prime number (beginning with 2) and try to divide it using the same approach. When you can no longer divide a number by a prime number, you go on to the next prime number and try to divide it by that number. Finally, you multiply the prime numbers by which you were able to divide your number.

Step-by-step explanation:

Answer: We know the prime factorization of a number is the representation of a number in terms of multiples of its factors. Now to simplify the above factorization by applying the exponent rule to make the prime factorization simplest. So, the correct answer is “ $ \ 1386 = 2 \times {3^2} \times 7 \times 11 $ ”.

Step-by-step explanation:

Hope it helped you<3

By AAS congruence theorem, triangle SUR congruent to triangle SUT.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider ΔSUR and ΔSUT,

Here,

SR=ST (Given in ΔSRT)

∠R=∠T (Base angles of isosceles triangle are equal)

∠SUR=∠SUT=90°

By AAS congruence theorem, ΔSUR ≅ ΔSUT

Therefore, by AAS congruence theorem, triangle SUR congruent to triangle SUT.

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Answer:

9

Step-by-step explanation:

3x^2 + 3x - 9

Substitute x = 2 into the equation.

3(2)^2 + 3(2) - 9

3(4) + 6 - 9

12 + 6 - 9

18 - 9 =

9

Answer:

P=2

Step-by-step explanation:

Answer:

38 17/36

Step-by-step explanation:

The total time she spent running is the combined value of the time it took to get to her friends house and to run back to her own house. It took 18 8/9 minutes to get to her friends house, and 19 7/12 to get to her own house, so the total time is the two added together. 18 + 19 = 37, and 8/9 + 7/12 = 64/72 + 42/72 = 106/72 = 53/36. This is equal to 1 17/36, so this plus 37 is equal to \(38 \frac{17}{36}\)

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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4. The present water meter reading for the Reyes family is 0648.

5. The household needs to pay P112.20 for their water consumption.

4. To find the present water meter reading for the Reyes family, we need to add their previous water reading to their water consumption.

Previous water reading: 0531

Water consumption: 117 m³

To add the two values, we can simply add the numerical part and keep the leading zeros:

0531 + 117 = 0648

Therefore, the present water meter reading for the Reyes family is 0648.

5. To calculate the amount the household needs to pay for water consumption, we need to find the difference in water meter readings and multiply it by the basic charge per cubic meter.

Previous water meter reading: 1552 m³

Present water meter reading: 1596 m³

Water consumption: 1596 - 1552 = 44 m³

Basic charge per cubic meter: P2.55

To calculate the payment, we multiply the water consumption by the basic charge per cubic meter:

Payment = 44 m³ * P2.55/m³ = P112.20

Therefore, the household needs to pay P112.20 for their water consumption.

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Answer:

x=7, y=6

Step-by-step explanation:

Answer:

x=7, y=6

Step-by-step explanation:

we expand the first formula by 5.

5(2x+y) = 20x5

10x + 5y= 100

then we add the two formulas together.

10x+5y+6x-5y = 100+12

since the 5y can be cancelled out, it is much easier.

16x = 112

   x=7

now we can put x=2 into the first formula.

2x7+y =20

        y=6

Answer:

the difference between the estimator and the population parameter grows smaller as the sample size grows larger.

Step-by-step explanation:

In Statistics, an estimator is a statistical value or quantity, which is used to estimate a parameter.

Generally, parameters are the determinants of the probability distribution. Thus, to determine a normal distribution we would use the parameters, mean and variance of the population.

An estimator is said to be consistent if the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, for an estimator to be consistent it must have both a small bias and small variance.

Also, note that the bias of an estimator (b) that estimates a parameter (p) is given by; \(E(b) - p[\tex]

Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).

A sample variance is an unbiased estimator of the population variance while the sample mean is an unbiased estimator of the population mean.

Generally, a consistent estimator in statistics is one which gives values that are close enough to the exact value in a population.