Match the multiplication on the left with its equivalent expression on the right. Options on the left may be matched to more
than one option on the right.
3.5
4x8
9(16)
9.16
3(5)
9 x 16
4+4+
3.5
(4)(8)

The probability that at least one of the three randomly selected people has been vaccinated is approximately  961/1000 as a fraction.

Percent of vaccinated people = 66%

Number of people randomly selected = 3

The probability that a person has been vaccinated is

= 66%

=  0.66 as a decimal.

The probability that at least one of three people has been vaccinated

= Total probability - Probability that none of them have been vaccinated

Total probability = 1

The probability that the first person selected has not been vaccinated is

1 - 0.66 = 0.34.

The probability that the second person selected has not been vaccinated is also 0.34.

And the same goes for the third person.

So, the probability that none of the three people have been vaccinated is,

= 0.34 x 0.34 x 0.34

= 0.039304

The probability that at least one of the three people has been vaccinated is ,

= 1 - 0.039304

= 0.960696

= 0.961

= 961/1000 as a fraction.

Therefore, the probability that at least one of the three people has been vaccinated is approximately  961/1000 as a fraction.

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Answer:

d. the points seem to be clustered around a line

Step-by-step explanation:

:)

The area of the window that Emily created, given the value of pi and the dimensions is 377. 04 in ².

To find the area, you can divide the shape into two different figures which would be the semi circle and the rectangle.

Area of the rectangle is:

= 12 in  x 22 in

= 264 in ²

Then find the area of the semi circle by the formula :

= Pi x radius x radius

= 3. 14 x 6 x 6

= 3. 14 x 36

= 113. 04 in ²

The area of the window is:

= 264 + 113. 04

= 377. 04 in ²

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The X would be on the line at 1.5cm in first case while in second case it would be at 4.5cm.

A line is a geometric figure that is defined as a straight, continuous arrangement of infinitely many points extending infinitely in both directions. In mathematics, a line is often represented by a straight line with arrows on both ends, indicating its infinite nature.

In mathematics, a point is a precise location in space that has no size or dimension. It is often represented as a dot or a small circle. Points are used as basic elements in geometry and other branches of mathematics to define and describe shapes, lines, curves, and other objects. They are typically named using a single capital letter or a combination of letters and numbers.

a) Since AX:AB = 1:3, we can find the length of AX by dividing the length of AB by 4 (1+3). Thus, AX = (1/4)×AB = (1/4)×6 cm = 1.5 cm. To mark point X on the line, we can start at point A and measure 1.5 cm towards point B and mark that point with a cross.

b) Similarly, since PX:XQ = 1:3, we can find the length of XQ by dividing the length of PX by 4 (1+3). Thus, XQ = (3/4)×PX = (3/4)×6 cm = 4.5 cm. To mark point X on the line, we can start at point P and measure 4.5 cm towards point Q and mark that point with a cross. We can mark the points with red x's for clarity.

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Answer:

Below in bold.

Step-by-step explanation:

Perimeter P = sum of all the sides

P = 2(2x - 5) + 2x

P = 4x - 10 + 2x

P = 6x - 10.

If the perimeter = 110m then:

110 = 6x - 10

6x = 110 + 10 = 120

x = 120/6

x = 20m.

Answer:

To determine if Amy's estimate of $2,500 is a good estimate, we need to calculate the actual total revenue she would earn from selling the eggs.

First, we need to convert the number of dozens of eggs to the total number of eggs. One dozen is equal to 12 eggs, so:

- 19 dozen green eggs = 19 x 12 = 228 green eggs

- 32 dozen white eggs = 32 x 12 = 384 white eggs

The total number of eggs is:

- 228 green eggs + 384 white eggs = 612 eggs

Next, we can calculate the total revenue Amy would earn if she sells all the eggs:

- 612 eggs ÷ 12 eggs/dozen = 51 dozen eggs

- 51 dozen eggs x $5/dozen = $255

Therefore, the actual total revenue Amy would earn from selling all the eggs is $255, which is significantly less than her estimate of $2,500. Amy's estimate is not a good estimate and is over 9 times the actual revenue she would earn.

mark me brilliant

Answer: No this is not a good estimate.

Step-by-step explanation:

19 dozen + 32 dozen= 51 dozen

so she has 51 dozen eggs for $5 per dozen

So you multiply 51 by 5 and you get 255.

So No her estimate was over the amount she will make.

Hope this helps :)

There are 8 children share two pics, the number of pics they all are shared is a fraction equals to the [tex] \frac{ 1}{4} [/tex].

Fractions denotes the parts of a whole or collection of things. A fraction has mainly two parts. The number which lie on the top of the line is known as the numerator. It describes how many equal parts of the whole or collection are taken. The number which lies below the line is called the denominator. There are 8 children share 2 pics equally. That is 2 is divided into 8 childrens equally. Then the part of 2 which each one get is represented by the fraction, [tex] \frac{ 2}{8} [/tex]. That is numinator is 2 and denominator is 8. On simplyfication, it is [tex] \frac{ 1}{4} [/tex]. Hence, required value is [tex] \frac{ 1}{4} [/tex].

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Based on the given diagram, we can see that the angles in a triangle sum up to 180 degrees the value of x is 30 units.

In a triangle, the sum of the three interior angles always adds up to 180 degrees. This is known as the angle sum property of a triangle.

It means that if you add up the measures of the three angles of any triangle, the result will always be 180 degrees.

We can set up an equation:

2x + 50 + 3x - 20 = 180

Simplifying the left side of the equation:

5x + 30 = 180

Subtracting 30 from both sides:

5x = 150

Dividing both sides by 5:

x = 30

Thus, the value of x as per the given angles, is 30 units.

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Answer:

No

Step-by-step explanation:

3^5 or using a superscript, 3⁵ means 3 × 3 × 3 × 3 × 3 which is 243

The 5 is an exponent. This format is a shortcut for multiplying. But it means to multiply 3 times itself, over and over again (5 times)

3 × 5 is of course regular multiplication as your learned in elementary school. 3 × 5 is just 15. (regular multiplication like this is a shortcut for adding-- it means to add 3 groups of 5 or 5 groups of 3)

The smallest number that is a product of both numbers being compared (can be one of the numbers, can't be smaller than both numbers) is called the "least common multiple" (LCM).

The LCM is the smallest positive integer that is a multiple of both numbers without leaving a remainder. It is also known as the lowest common multiple or smallest common multiple. For example, the LCM of 6 and 8 is 24 because 24 is the smallest integer that is a multiple of both 6 and 8 without leaving a remainder. Similarly, the LCM of 10 and 15 is 30 because 30 is the smallest integer that is a multiple of both 10 and 15 without leaving a remainder. The LCM is an important concept in mathematics and is used in various applications, such as finding common denominators, solving equations involving fractions, and analyzing periodic phenomena. There are different methods to find the LCM of two or more integers, such as prime factorization, the division method, and the use of the GCD (greatest common divisor) or GCF (greatest common factor).

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The best measure of variability for the data, and its value is: D. The range is the best measure of variability, and it equals 9.

In Mathematics and Statistics, a line plot is a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

From the data set for the number of roses purchased per day, we have:

10, 1, 1, 4, 4, 2, 2, 2, 5, 5, 5, 3, 3, 3, 3

For the IQR, we have:

IQR = Third quartile (Q₃) - First quartile (Q₁)

IQR = 5 - 2

IQR = 3

For the range, we have;

Range = maximum - minimum

Range = 10 - 1

Range = 9.

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The area of the park to the nearest unit is 85454 ft²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

A triangle is a 3 sided polygon. The types of triangle are,; equilateral, scalene , isosceles triangle e.t.c

The area of a triangle is expressed as;

A = 1/2 absinC

here, a = 487ft, b= 465ft and C = 49°

therefore;

A = 1/2 × 487 × 465 × sin49°

A = 1/2 × 226455 × 0.755

A = 113227.5 × 0.755

A = 85454 ft² ( nearest unit)

Therefore the area of the park to the nearest unit is 85454ft²

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Since she travels 183 miles in 3 hours, her speed is:

183 miles / 3 hours = 61 miles per hour

To calculate how long it will take her to drive a total of 366 miles, we can use the formula:

time = distance / speed

Plugging in the values, we get:

time = 366 miles / 61 miles per hour

time = 6 hours

Therefore, it will take Meghann 6 hours to drive a total of 366 miles at a constant speed using cruise control.

Answer:

a+ b 2

Step-by-step explanation:

The cost of the hat is £5.

Let's say that the hat costs x pounds.

The cardigan's price might be represented as follows as it is £8 more expensive than the hat according to the problem:

x + £8

The cap and cardigan combined are listed as costing £18. Thus, we may represent an equation as:

x + (x + £8) = £18

Simplifying this equation, we get:

2x + £8 = £18

Subtracting £8 from both sides, we get:

2x = £10

Dividing both sides by 2, we get:

x = £5

Therefore, the hat costs £5.

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Check the picture below.

so the prism is really two triangles, with a base of 9.8 and a height of 5.33, and then three rectangles

[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{two triangles} }{2\left[ \cfrac{1}{2}(\underset{b}{9.8})(\underset{h}{5.33}) \right]}~~ + ~~\stackrel{\textit{front rectangle}}{(9.8)(3.8)}~~ + ~~\stackrel{\textit{left rectangle}}{(6.2)(3.8)}~~ + ~~\stackrel{\textit{right rectangle}}{(8.5)(3.8)}} \\\\\\ 52.234~~ + ~~37.25~~ + ~~23.56~~ + ~~32.3 ~~ \approx ~~ \text{\LARGE 145.3}~ft^2[/tex]

Answer:

  145.3 ft²

Step-by-step explanation:

You want the surface area of the triangular prism shown.

The surface of the prism consists of 5 faces:

The dimensions required to find the areas of these are given in the diagram.

The area of a rectangle is the product of its length and width. All of the rectangles shown have a height of 3.8 ft, so their total area is ...

  lateral area = (3.8 ft)(9.8 ft) +(3.8 ft)(8.5 ft) +(3.8 ft)(6.2 ft)

  = (3.8 ft)(9.8 +8.5 +6.2 ft) . . . . . . . factoring out 3.8 ft

You will recognize this as the product of the height of the prism and the perimeter of the triangular base.

The area of one triangle base is ...

  A = (1/2)bh

The base is given as 9.8 ft, and the height is given as 5.33 ft, so the area is ...

  A = (1/2)(9.8 ft)(5.33 ft)

There are two such triangular faces, so their total area is ...

  base area = 2(1/2)(9.8 ft)(5.33 ft)

  base area = (9.8 ft)(5.33 ft)

The total surface area is the sum of the areas of the 5 faces:

  surface area = rectangle area + base area

  = (3.8 ft)(9.8 +8.5 +6.2 ft) +(9.8 ft)(5.33 ft) = 145.334 ft²

The surface area of the prism is about 145.3 ft².

__

Additional comment

The surface area of any figure is the sum of the areas of the various surfaces that make it up. For polygonal prisms, the lateral area is made of rectangles. The total base area is the sum of the areas of the two polygonal bases. Here the bases are triangular, so the triangle area formula is used.

For figures such as cylinders, or cylinders with conical or hemispherical ends, you use the appropriate formulas for lateral area and spherical area, as needed.

It is usually helpful to memorize or keep handy the formulas for areas of various plane and curved figures.

The value of the stock investment a year ago is $19,200.

A stock is an investment that gives the holder ownership of the company where the stock was purchased. The stock holder receives dividends when declared by the company.

The value of the stock last year would be 20% greater last year than it is today.

Value of the stock last year = value of the stock today x (1 + rate of decline)

= $16,000 x (1 + 20%/100)

= $16,000 x (1 + 0.2)

= $16,000 x 1.2

= $19,200

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Answer:

The denominator is equivalent to the number of segments that the whole is divided into.

The denominator is the bottom number of a fraction.

Answer:

C d e

Step-by-step explanation:

The answer of the number simplified in scientific notation is 1 × 10¹.

Scientific notation is a way of expressing very large or very small numbers using powers of 10. In scientific notation, a number is written as a coefficient multiplied by 10 raised to an exponent.

(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁻⁽⁻⁴⁾

(2 × 10⁻³)/(2 × 10⁻⁴) = 2¹⁻¹ × 10⁻³⁺⁴

(2 × 10⁻³)/(2 × 10⁻⁴) = 2⁰ × 10¹

(2 × 10⁻³)/(2 × 10⁻⁴) = 1 × 10¹ {numbers to the power of zero is equal to 1}

Therefore, the answer of the number simplified in scientific notation is 1 × 10¹.

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Answer: Spade 3.

Step-by-step explanation: I took this test and after submission it showed the right answer!

Answer:

-5/6

Step-by-step explanation:

y=mx+6

so,

6y=-5x+48

y=-5/6x+48

m=-5/6

The equation of the circle will be -

(x - 4)² + (y - 13)² = 64

The general equation of a circle with (h, k) representing the circle's center, and {r} represents the length of its radius is

(x – h)² + (y – k)² = r²

We can write the equation of the circle as -

(x – h)² + (y – k)² = r²

(x - 4)² + (y - 13)² = r²

(x - 4)² + (y - 13)² = r²

(x - 4)² + (y - 13)² = r²

Also -

2πr = 16π

r = 8

So. the equation of the circle will be -

(x - 4)² + (y - 13)² = 64

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The third quartile of the test scores for a class of 207 students is located at the 156th term, which is obtained by multiplying the sample size by 0.75. The correct answer is A).

To find the location of the test score associated with the third quartile, we need to first calculate the position of the third quartile in the ordered data set

Third quartile = 75th percentile = 0.75

Sample size n = 207

Position of the third quartile = 0.75 * 207 = 155.25

Since the position is a whole number, we round up to the next integer to get the location of the test score associated with the third quartile

Location of the test score associated with the third quartile = 156

Therefore, the answer is "156". The correct option is A).

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--The given question is incomplete, the complete question is given

" The test scores for a class of 207 students are computed when 3rd quartile =75percentile. What is the location of the test score associated with the third quartile? Multiple Choice O 156 52 104 105%"--

Answer:

6x-48

Step-by-step explanation:

Multiply using the distributive property.

Step 1:

Multiply 6 and x:

Step 2:

Multiply 6 and -8:

Step 3:

Put them together:

Step 4:

have a good day :)

The correct equation that can be used to find the number of bottles of water w that the club needs to sell to reach their goal is: 26+2w=100. Option B

Let w be the number of bottles of water that the club needs to sell to reach their goal of raising $100.

Total amount = $26 + $2w

To find the number of bottles of water w that the club needs to sell to reach their goal of raising $100 will be:

Total amount = Goal amount

$26 + $2w = $100

Simplifying the equation, we get:

$2w = $100 - $26

$2w = $74

Dividing both sides by 2, we get:

w = 37

Therefore, the club needs to sell 37 bottles of water to reach their goal of raising $100.

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Answer:21

Step-by-step explanation:

The solution is, The number is 280.

We have,

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

Let the number be x.

According to the given question.

5/8 of number is 175.

The linear equation in one variable of the above statement is given by

5/8 * (x) = 175

Solve the above linear equation in one variable for x.

⇒5/8 * (x) = 175              ( multiplying both the sides by 8)

⇒ 5x = 175 * 8

⇒ 5x = 1400               ( dividing both the sides by 5)

⇒ x = 280

Hence, the number is 280.

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The number of scooters sold in year 4 is 2240

A word problem is a math problem written out as a short story or scenario. This statement is actually interpreted into mathematical equation or expression.

The total scooter sold in the previous 3 years is ;

725+579+696 = 2000.

Therefore the store sold a total of 2000 scooters for 3 years.

In the 4th year they sold 112% of the total of the 3 years.

therefore the number of scooters sold in the 4th year can be calculated as;

112/100 × 2000

= 112 × 20

= 2,240

therefore 2240 scooters were sold in the 4th year.

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Answer:

y=-2x-3

Step-by-step explanation:

The point you first stated (0, -3) is the y-intercept of the line given that the x is zero. Parallel lines share a slope. Soooooooooo the equation would be y=-2x-3

Answer: y=-2x-3

hope this helps