What is the value of the left side of the statement?
4³ + 2 · (5 + 4) =

There are 10 people in the 16-18 group , 22 people in the 19-24 group and 18 people who are 25+ in the stratified sample.

A method of sampling from a population that can be divided into subpopulations is known as stratified sampling in statistics. When subpopulations within a larger population differ in statistical surveys, it may be desirable to sample each subpopulation separately.

From the given table we can calculate the total of population:

population = 120 + 250 + 200 = 570 people

Now since it is a stratified sample, the ratio of each age group is equal in the sample as in the population.

∴Number of people in the 16-18 group :

[tex]=\frac{120}{570} \times 50\\\\=10.52[/tex]

∴Number of people in the 19-24 group :

[tex]=\frac{250}{570} \times 50\\\\=21.929[/tex]

∴Number of people in the 19-24 group :

[tex]=\frac{200}{570} \times 50\\\\=17.543[/tex]

Now as 10.52 is closer to 10 than 17.54 is closer to 17 , we will round off 10.52 to 10.

Hence there are 10 people in the 16-18 group , 22 people in the 19-24 group and 18 people who are 25+  in the stratified sample.

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Answer:

Step-by-step explanation:

A prime number has only two factors (1 and itself). Hence, two prime numbers cannot have any common factor other than 1. Therefore, the greatest common factor of two prime numbers is always 1. For example, the greatest common factor of 5 and 7 is 1.

You must determine the least common multiple of the three in order to respond to this.  8:28 pm will be the moment when all three lights flash simultaneously next.

Work with 3.5 now:

3.5 * 1 Equals 3.5 (no, 2 and 4 don't split into 3.5 in an equal manner)

3.5 * 2 = 7 (no, same excuse)

3.5 * 3 = 10.5 (nope) (nope)

3.5 * 4 = 14 (nope) (nope)

3.5 * 5 = 17.5 (nope) (nope)

3.5 * 6 = 21 (nope) (nope)

3.5 * 7 = 24.5 (nope) (nope)

3.5 * 8 = 28 (yes, as 2 and 4 are factors of 28) (yep, since 2 and 4 are factors of 28)

Therefore, 8:28 pm will be the moment when all three lights flash simultaneously next.

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The team's average value per hand is 0.76 and the simulation is shown in the figure.

Average Value:

Average means the ratio of the sum of all given observations to the total number of observations.

Given,

You are playing a team card game where a team can get 0 points, 1 point, or 3 points for a hand.

The probability of your team getting 1 point for a hand is 60% and of getting 3 points for a hand is 5% .

Here we need to design a simulation and estimate your team's average value per hand.

When we use a random number generator to generate integers

1 through 20, where

1–7 represents 0 points,

8–19 represents 1 point, and

20 represents 3 points.

Do 50 trials and record the results in a frequency table.

The table looks like, the following.

Based on the frequency table, The average value is the sum of the product of each point value and its corresponding frequency is calculated as,

=> average = (0 x 16/50) + (1 x 32/50) + (3 x 2/50)

=> average = 0 + 32/50 + 6/50

=> average = 38/50

Which is approximately equal to,

=> average ≈ 0.76

Therefore, team's average value per hand is 0.76

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The mean temperature change between the two cold seasons is (b) went up by 0.3°

The given parameters are:

2011-2012:

2012-2013:

The mean is calculated as

Mean = Sum/Count

So, we have

2011 - 2012 mean = (61.1 + 51.9 + 53.6 + 56.5)/4

Evaluate

2011 - 2012 mean = 55.8

Also, we have

2012 - 2013 mean = (64.2 + 56.8 + 48.3 + 55.1)/4

Evaluate

2012 - 2013 mean = 56.1

The difference in these mean values are

Difference = 56.1 - 55.8

Evaluate

Difference = 0.3

Hence, the mean temperature change between the two cold seasons is (b) went up by 0.3°

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The length of the third side will be equal to 5.2 units.

According to the Pythagorean Theorem, the hypotenuse square in a right-angled triangle equals the square of the sum of the other two sides.

This statement states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

This is a right-angled triangle which means that the missing length can be solved using the Pythagorean theorem:

c² = a² + b²

Where c is the hypotenuse, a and b are the other sides.

c =  6

a = 3

b =?

6² = 3² + b²

36 = 9 + b²

b² = 27

b = √27

b = 5.2 units

Therefore, the length of the third side will be equal to 5.2 units.

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Based on the angles addition postulate, m∠UVW = 140°.

The angles addition postulate says that two smaller angles that is composite of a larger angle can be added together to give the measure of the larger angle.

Based on the angle addition postulate, the following equation that can be used to solve the problem given is derived below:

measure of angle XVW + measure of angle UVX = measure of angle UVW

Given the following:

measure of angle UVX = 76°

measure of angle XVW = 64°

Thus, using the above equation, we have:

64 + 76 = measure of angle UVW

140 = measure of angle UVW

measure of angle UVW = 140°

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Answer: it is 14526.72

what is finite sequence

Answer:

The answer is 29.44 degree Celsius.

Answer: If the question is 41/7 divided by 2/3 then the answer is 123/14 or 8 11/14

Step-by-step explanation:

The mass of the planet Mercury is 1.74 × 10⁻⁴ kg time the mass of the planet Jupiter.

Mass of Mercury = 3.3 × 10²³ kg

Mass of Jupiter = 1.9 × 10²⁷ kg

We need to find that how many times the mass of Mercury is the mass

of Jupiter.

For this, we will divide the mass of mercury with the mass of Jupiter.

So, we get that:

= ( 3.3 × 10²³ kg ) ÷ ( 1.9 × 10²⁷ kg )
Solving the expression by using the properties of exponents, we get that:

= 1.74 × 10⁻⁴ kg.

Therefore, we get that, the mass of the planet Mercury is 1.74 × 10⁻⁴ kg time the mass of the planet Jupiter.

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Based on the rate illustrated, the time that it would take for you heart to beat 700,000 times is 8.10 days.

It should be noted that the heart beats 86400 tines on a day.

Therefore, when the heart beats 700,000 times, the number of days will be:

Number of times / Number of times the heart beats in a day

= 700000 / 86400

= 8.10 days

Therefore, the time that it would take for your heart to beat 700,000 times is 8.10 days.

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In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 then the value of SJ = 6.

The triangle's centroid is the point where the three medians intersect. According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.

The centroid has the unique property that the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex for each median. In addition, the three medians of a triangle divide the triangle into six equal-area regions.

Given: In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 .

Since ZV ≅ VU, Y is the midpoint of UZ and SV is a median of Δ ZSU. Similarly, points Y and T are also midpoints of SZ and SU, respectively, so YU and ZT are also medians. Therefore, point J is the centroid of

Δ ZSU and, according to the Centroid Theorem, SJ is 2/3 of SV.

SJ = 2/3 (SV)

= 2/3 (SJ + VJ)

simplifying the above equation, we get

(3SJ/2) - SJ = VJ

SJ/2 = 3

SJ = 6

Therefore, the value of SJ = 6.

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Answer:

54 sqrt Mr multiple question is whether you are a man or a boy are you ok

The height of this painting is 4 2/5 cm.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

It is given that Nisha likes to make small rectangular paintings of cats. Also One of her paintings has an area of 33 cm² and a width of 7/1/2 cm.

The area of the rectangle = length × Width

Now substitute the values;

Area= L x W

33 cm² = L x 7/1/2 cm

33 divided by 7 1/2

L = 4 2/5

Therefore, the height of this painting is 4 2/5 cm.

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Answer:

5.1

Step-by-step explanation:

yup i hate math.

Answer:

To simplify any rational expressions, we apply the following steps:

Factorize both the denominator and numerator of the rational expression. Remember to write each expression in standard form.

Reduce the expression by cancelling out common factors in the numerator and denominator

Rewrite the remaining factors in the numerator and denominator.

Step-by-step explanation:

Example:

                 Simplify: (x^{2}  + 5x + 4) (x + 5)/(x^{2}  – 1)

Solution:

Factoring the numerator and denominator to get;

⟹ (x + 1) (x + 4) (x + 5)/(x + 1) (x – 1)

Now cancel the common terms.

⟹ (x + 4) (x + 5)/(x – 1)

Answer: 52x^200 + 4x+4x^4

Step-by-step explanation:

Answer:

Choice 1
It is a one to one function.

Appears to be a cubic function

Step-by-step explanation:

Answer:

∠9 and ∠11

Step-by-step explanation:

Vertical angles are congruent, and angles 9 and 11 are vertical.

Answer: 1.6

Step-by-step explanation:

The pattern occurs for every 2 terms

.65-.2=

.65-.20=.45

1.1-.65=

1.10-.65=.45

1.15-.7=

1.15-.70=.45

?-1.15=.45

.45+1.15=?

?=1.60

?=1.6

According to the question, the probability of the event in which rolling a pair of dice and not getting a 3 is as follows:

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

Probability of not getting 3=  1 - P(getting three)/Total number of events

Probability of not getting 3=1-2/36 = 1-1.18 =17/18

Hence, the probability of not getting three while rolling a pair of dice is 17/18 .

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The points  P,Q, and R are collinear points is proved by the property that Congruent Figures' Corresponding Parts are Congruent.

Collinear points are those that are within the same straight line or on the same plane. In Euclidean geometry, two or more points on a line that are close to or the far from one another are referred to as collinear.

As, per the given question, the description for the reflection of points P,Q, and R to form collinear points are described below.

If two or more points lie on the same line, they are said to be collinear in geometry. As a result, collinear points are indeed the points that lie on the an one straight line.

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Answer:

the second answer

Step-by-step explanation:

because 19+3 is equal to 12, therefore we substrate by the number we got from 4+2 which is 6, so it will be 12-6 which is equal to 6 ,

42 miles kelly's car can go if 1 gallon of gas is used .

Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.

total miles travelled = 26 1/4 miles = 26.25 miles

gas used = 5/8 = 0.625 gallon

distance car can travel in 1 gallon = 26.25 / 0.625

                                                       = 42 miles  

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Answer:

14988 feet

Step-by-step explanation:

To find the difference, subtract.

14949 - (-39)

= 14949 + 39

= 14988

Use "add the opposite" to change "minus a negative" to "plus a positive"

The first differences for each data set is 120 120 120 120 120 120, and the equation to represent the data pattern is y = 120

The table of values represents the given parameters

On the table of values, we have the following function range

60 180 300 420 540 660 780

Calculate the first differences for each data set

i.e. Difference = Tn - T(n-1) Where n > 1

So, we have

120 120 120 120 120 120

The numbers in the above pattern are the same

So, the equation can be represented as

y = 120

Hence, the first differences for each data set is 120 120 120 120 120 120, and the equation to represent the data pattern is y = 120

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