15 masons can renovate a hall in 20 days. How many masons will renovate the hall in 12 days?.

Answer:

wht the question you need answer

Answer:

8s

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

10s + -2s

Step 2: Simplify

Answer:

\(\huge\boxed{8s}\)

Step-by-step explanation:

Expression can be broken down into a couple of parts.

When we have multiple terms with the same variable, we can perform operations on them assuming they have the same variable - for example, 5x + 6x = 11x, as 5+6=11.

We can apply the same logic here, however, note that adding a negative is the same as subtracting a positive. For example, 5 + -2 is the same as 5-2.

\(10 - 2 = 8\)

Therefore, our final expression is \(8s\).

Hope this helped!

Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2

Her mental age would be 8 yrs old.

IQ [ Intelligent Quotient ]  is a type of standard score that indicates how far above, or how far below, his/her peer group an individual stands in mental ability.

IQ of a person is given by the formula -

IQ = MA/CA * 100

IQ = Mental Age / Chronological Age * 100

According to the question, IQ = 100, CA = 8

⇒ 100 = MA / 8 *100

⇒1 = MA / 8

⇒ MA = 8 Yrs

Hence, the estimated mental age of susan is 8 yrs old.

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The equation that can be used to find h, the number of hours Aaron can rent the bike, is: 15h + 3 = 65, where h represents the number of hours.

To find the number of hours Aaron can rent the bike, we need to consider the cost per hour and the additional fee for the helmet. The cost per hour is $15, and the additional fee for the helmet is a one-time payment of $3 for the entire ride.

Let's break down the equation step by step:

Cost per hour: 15h

Additional fee for the helmet: 3

The total cost of renting the bike for h hours, including the helmet fee, should be equal to Aaron's budget, which is $65.

Therefore, the equation becomes:

15h + 3 = 65

To find the value of h, we solve the equation:

15h = 65 - 3

15h = 62

h = 62/15

h ≈ 4.13

Aaron can rent the bike for approximately 4.13 hours. Since it's not possible to rent a bike for a fraction of an hour, Aaron would round down to the nearest whole number. Therefore, he can rent the bike for 4 hours.

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Answer:

well let's start by taking 27 away from 55 to get 28 so we now have $28 to spend on shirts next divided 28 from 7 and you will get your answer

Step-by-step explanation:

step one- 55-27

step two 28÷7

Answer:

B. All real numbers

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see that the line's x-values span from negative infinity to infinity. Therefore our domain encapsulates all real numbers.

Answer:

34

Step-by-step explanation:

1. Add 6 and 5 and that multiplies with 8 which would be 88

2. Then divide by 4, leaving you with 22.

3. Add that with 6(2), 12, and that gives you 34

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

2a -b

Let a = 9 and b = 4

2(9) - 4

Multiply first

18-4

14

The principal that will grow to $5,100 in two years, eight months at 4.3% compounded semi-annually is approximately $4,568.20.

To find the principal that will grow to $5,100 in two years and eight months at 4.3% compounded semi-annually, you can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:
A = final amount ($5,100)
P = principal amount (what we're trying to find)
r = annual interest rate (4.3% or 0.043)
n = number of times interest is compounded per year (semi-annually, so 2)
t = time in years (2 years and 8 months or 2.67 years)

First, plug in the values:

$5,100 = P(1 + 0.043/2)^(2*2.67)

Next, solve for P:

P = $5,100 / (1 + 0.043/2)^(2*2.67)

P = $5,100 / (1.0215)^(5.34)

P = $5,100 / 1.11726707

P ≈ $4,568.20

The principal that will grow to $5,100 in two years, eight months at 4.3% compounded semi-annually is approximately $4,568.20.

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Answer: B 1.1

Step-by-step explanation: if you round 1.79 you get 1.8 if you round 0.67 you get 1.7 then you subtract them and you get 1.1

Brainlest plz

Answer:

Outputs: {8, 9, 13, 23}

Step-by-step explanation:

Output is a fancy way of say y value. So the outputs of the data set are: {8, 9, 13, 23}.

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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1.

b = -3

2.

a = 39

3.

b = -3

13.

w = 16

14.

m = 45

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Probability that the vaccine will be developed = \(\frac{99363}{100000}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Here,

Team 1 has an 86 % chance of success of developing a new vaccine

Team 1 has 100 - 86 = 14% chance of failure of developing a new vaccine

Team 2 has an 87 % chance of success of developing a new vaccine

Team 2 has 100 - 87 = 13% chance of failure of developing a new vaccine

Team 3 has an 65 % chance of success of developing a new vaccine

Team 3 has 100 - 65 = 35% chance of failure of developing a new vaccine

Probability that the vaccine will not be developed =

                                                                                     \(\frac{14}{100} \times \frac{13}{100}\times \frac{35}{100}\\\frac{637}{100000}\\\)

Probability that the vaccine will be developed =

                                                                            \(1 - \frac{637}{100000}\\\\\frac{100000-637}{100000}\\\\\frac{99363}{100000}\)

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After the boys from Barack Academy travel to Hillary High and then return with a combination of boys and girls, Hillary High will have more boys on campus compared to the number of girls at Barack Academy.

Based on the given information, we can determine that both schools initially have the same number of students. The boys from Barack Academy board the bus and travel to Hillary High for a dance. Afterward, the bus is filled with a combination of boys and girls and they travel back to Barack Academy for another dance.

Since all the boys from Barack Academy initially leave the school and then return with a combination of boys and girls, it can be inferred that the number of boys on campus at Barack Academy remains the same or increases (if some boys from Hillary High join them).

On the other hand, at Hillary High, the girls who stay at the school are joined by a combination of boys and girls from the other school. Therefore, it can be inferred that the number of boys on campus at Hillary High increases.

Based on this analysis, it can be concluded that after the events described, Hillary High would have more boys on campus than Barack Academy would have girls on campus.

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The publication of three major books on race in chronological order, from earliest to most recent is:

Chronological order is the listing, description, or discussion of when events occurred in relation to time. Essentially, it is similar to looking at a chronology to see what happened initially and what happened after that. For example, if teachers asked their pupils to recount their first day of school, they would expect students to begin by waking up that morning and getting ready. If pupils begin from the time they enter the school, significant information is lost and the listener may become confused due to a lack of knowledge.

Helping pupils grasp what chronological order is and how to use the skill correctly can benefit students ranging from kindergarten to collegiate levels. The concept may appear simple, yet failing to master chronological sequence can cause kids to struggle academically and lack a solid educational foundation.

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The value of tangential acceleration is (2·sin(4t))/√(64+2sin²(2t)) and normal acceleration is (16·cos(2t))/√(32+sin²(2t)).

What is Tangential acceleration?

Tangential acceleration is the rate at which the matter's tangential velocity changes in a circular path.

What is Normal acceleration?

Normal acceleration is often referred to as radial acceleration or centripetal acceleration. It is in charge of altering the direction of velocity, maintaining the particle in a circular motion.

As per data given,

Radius vector is r(t) = 8t i + cos²(t) j + sin²(t) k.

Differentiate radius function twice as follows:

r'(t) = 8 i + (-cos(t)sin(t)) j + 2sin(t)cos(t) k

r'(t) = 8 i - sin(2t) j + sin(2t) k

r'(t) = < 8, - sin(2t), sin(2t) >

From Trigonometric identity: {sin2t = 2 sint cost}

Differentiate again respectively,

r''(t) = 0 i - 2cos(2t) j + 2cos(2t) k

r''(t) = < 0, - 2cos(2t), 2cos(2t) >

Since we have Tangential acceleration formula,

at = {r'(t) · r''(t)} / II r'(t) II

Substitute values respectively,

at = {(8 i - sin(2t) j + sin(2t) k) · (0 i - 2cos(2t) j + 2cos(2t) k))} / II (8 i - sin(2t) j + sin(2t) k) II

at = {0 + 2 sin(2t) cos(2t) + 2 sin(2t) cos(2t)} / √ (64 + sin²(2t) + sin²(2t))

at = {0 + sin(4t) + sin(4t)} / √ (64 + sin²(2t) + sin²(2t))

at = 2sin(4t) / √ (64 + 2sin²(2t))

And the normal acceleration formula,

an = II r'(t) × r''(t) II / II r'(t) II

Since r'(t) × r''(t) =

\(\left[\begin{array}{ccc}i&j&k\\8&-sin(2t)&sin(2t)\\0&-2cos(2t)&2cos(2t)\end{array}\right]\)

Solve matrix gives,

r'(t) × r''(t) = < -2sin(2t) cos(2t) + 2sin(2t) cos(2t), -16cos(2t), -16cos(2t) >

r'(t) × r''(t) = < 0, -16cos(2t), -16cos(2t) >

substitute values respectively,

an = √ (0² + 256cos²(2t) + 256cos²(2t)) / √ (64 + 2sin²(2t))

an = √(512cos²(2t)) / √ (64 + 2sin²(2t))

an = 16 cos(2t) / √ (32 + sin²(2t))

Hence, the value of tangential acceleration is (2·sin(4t))/√(64+2sin²(2t)) and normal acceleration is (16·cos(2t))/√(32+sin²(2t)).

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Answer:

see below

Step-by-step explanation:

15:25 divide each side by 5 & get 3:5

3+5 =8 so basically it's like 8 slices of pizza, girls get 3 slices, boys get 5,  

now we split the money.  640/8=80, so

girls get 3 x80 = 240

boys get 5x80 = 400

In ΔTUV, UV = 14, VT = 19, and TU = 9, The statement about the angles of ΔTUV that must be true is  \(m \angle U > m \angle T > \angle V\) Option 5

This is further explained below.

Generally, A triangle's angle is a measurement of the length of the side that is perpendicular to it.

This indicates that if one of the sides is longer in length, then the measure of the angle opposite to it will also be longer.

The angles in the triangle TUV are denoted by the symbols T, U, and V.

The side that is UV, TV, and T U correspondingly is the side that is opposite to these angles.

The length of the opposing sides will immediately determine the measure of the angles, which will be directly proportionate to those angles.

since V T>U V>T U, the arrangement of angles will correspond to this as follows: \(m \angle U > m \angle T > \angle V\) Option 5

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CQ

In $\triangle T U V$, UV $=14, V T=19$, and $T U=9$. Which statement about the angles of $\triangle T U V$ must be true?

$\mathrm{m} \angle V>\mathrm{m} \angle T>\mathrm{m} \angle U$

$\mathrm{m} \angle T>\mathrm{m} \angle U>\mathrm{m} \angle V$

$\mathrm{m} \angle U>\mathrm{m} \angle V>\mathrm{m} \angle T$

$m \angle V>m \angle U>m \angle T$

$m \angle U>m \angle T>m \angle V$

$\mathrm{m} \angle T>\mathrm{m} \angle V>\mathrm{m} \angle U$

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

The domain is the second answer.

Step-by-step explanation:

I got that question right on my test, sorry if I answered too late.

The cost of ordering and storing 2000 units of the product is $301.50.

Given, The cost C of ordering and storing x units of a product can be modeled by the equation:

\(20,000 C = 3x + 30\)

The given equation can be re-written as:

\(C = 3/20 x + 3/2000\)

To find: The cost of ordering and storing 2000 units of the product

Solution: We are given that x is 2000, C is 3/20 x + 3/2000

Substitute x = 2000

\(C = 3/20 \times 2000 + 3/2000\)

C = 300 + 1.5

C = $301.50 (Rounded to the nearest cent)

Therefore, the cost of ordering and storing 2000 units of the product is $301.50.

Conclusion: The cost C of ordering and storing x units of a product can be modeled by the equation \(20,000 C = 3x + 30\). Using this equation, we found that the cost of ordering and storing 2000 units of the product is $301.50.

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Answer:

1) x=23   y=-6                 2)  x=-((20)/3)   y=((22)/3)

Step-by-step explanation:

View image attached

The first two numbers in each row of the relative frequency table represent the percentage of cars and trucks of a particular color out of the total number of vehicles in the parking lot.

To create a relative frequency table, we need to divide the frequency of each color by the total number of vehicles (65) and then multiply by 100 to get a percentage.

Relative Frequency Table by Color:

The first two numbers in each row must add up to 100% because we are calculating the relative frequency of each color with respect to the total number of vehicles (65). Therefore, the percentage of cars and trucks of each color must add up to 100% of that color's total frequency. The total row must also add up to 100% because it represents the entire population of vehicles.

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The given question is incomplete, the complete question is:

There are 65 vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%. Frequency Table Type of Vehicle Color Car Truck Total Blue 22 14 36 Red 12 17 29 Total 34 31 65

Answer:

5

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

Answer:

The polygon has 9 sides (a regular nonagon).

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures

\(\displaystyle \frac{180(n-2)}{n}\)

The regular polygon used by Dina for the logo is such that each interior angle measures 140°, thus:

\(\displaystyle \frac{180(n-2)}{n}=140\)

Multiply by n:

\(180(n-2)=140n\)

Operate:

\(180n-360=140n\)

Reducing:

\(40n=360\)

Solving:

n=9

The polygon has 9 sides (a regular nonagon).

Step-by-step explanation:

Let ABC be an isosceles triangle with sides AC and BC of equal length.                

We need to prove that the medians AD and BE are of equal length.

Consider the triangles ADC and BEC.

They have two congruent sides that include congruent angles.

Indeed, AC = BC by the condition, because the triangle ABC is isosceles.

Since the lateral sides AC and BC are of equal length, their halves EC

and DC are of equal length too: EC = DC.

Finally, the angle ECD is the common angle.

Thus, the triangles ADC and BEC are congruent, in accordance to the

postulate P1 (SAS) (see the lesson Congruence tests for triangles of the

topic Triangles in the section Geometry in this site).

Hence, the medians AD and BE are of equal length as the corresponding sides

of these triangles.

The proof is completed.