help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

2 minutes for a whole song.

Step-by-step explanation:

Given that,

→ (1/6) song = (1/3) minutes

Parts of whole song is,

→ (1/6) × 6 = 1

Then the required minutes taken to play whole song will be,

→ x/6 = 1/3

→ x = (1/3) × 6

→ x = 6/3

→ [ x = 2 min ]

Hence, 2 minutes for a whole song.

The length of the shorter leg is 9 mm.

The length of the longer leg is 12 mm.

The length of the hypotenuse is 15 mm.

Pythagoras theory applies to every right triangle. If

Step-by-step explanation:

Known

Asked

Answer

[tex]a^2 + b^2 = c^2[/tex]

[tex]a^2 + (a+3)^2 = (a+6)^2[/tex]

[tex]a^2 + a^2 + (2 \times a \times 3) + 3^2 = a^2 + (2 \times a \times 6) + 6^2[/tex]

[tex]2a^2 + 6a + 9 = a^2 + 12a + 36[/tex]

[tex]2a^2 - a^2 + 6a - 12a + 9 - 36 = 0[/tex]

[tex]a^2 - 6a - 27 = 0[/tex]

[tex]a^2 - 9a + 3a - 27 = 0[/tex]

[tex]a \times (a - 9) + 3 \times (a - 9) = 0[/tex]

(a-9) (a+3)=0

a-9=0  or  a+3= 0

a=9     or  a=-3 (impossible)

Shorter leg

a=9 mm

Longer leg

b = a+3

b = 9+3

b = 12 mm

Hypotenuse

c = a+6

c = 9+6

c = 15 mm

The p-value is higher than 0.05, so we are unable to rule out the null hypothesis. There is little proof to back up the director's claim.

Hypothesis:

H₀ : μ = 3000

H₁ : μ > 3000

The t-test should be employed when the population mean and standard deviation are unknown. Since the sample size is high, we can infer that the sample mean's sampling distribution is normal.

The following information is provided:

s = 450

x = 3200

n = 14

Therefore, test statistics will be:

t = (x - μ) / (s / √n) = (3200 - 3000) / (250 / √14) = 1.66

The test in this instance is right-tailed, and its degree of freedom is df=n-1=14-1=13.

0.0601 is the p-value.

We are unable to reject the null hypothesis since the p-value is higher than 0.05. The director's allegation is not supported by a lot of evidence.

Since p =.0601, the director's assertion cannot be supported by the available data.

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The equivalent expressions are 7y + 2y+y and 10y & 8m-4m+4m and 8m.

Other expressions are not equivalent

Expressions 1

The expressions are given as

4(2a+7) and 8a +7

Open the brackets

8a+28 and 8a +7

The above expressions are not equal

Expressions 2

Here, we have

7y + 2y+y and 10y

Evaluate the like terms

10y and 10y

The above expressions are equal

Expressions 3

Here, we have

8m-4m+4m and 8m

Evaluate the like terms

8m and 8m

The above expressions are equal

Expressions 4

Here, we have

9e+2(e+5) and 11 +5

Open the brackets

9e+2e+10 and 11 +5

Evaluate the like terms

11e + 10 and 11 + 5

The above expressions are not equal

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y = 4/3 ( x + 3 )² + 7 is equation of the parabola .

In math, what is a parabola?

The h and k of the above vertex form are the coordinates of the vertex. So our function has the following form

  y = a ( x- h )²  + k

  y = a ( x - ( - 3 ))² + 7

  8 = a ( -4 - ( -3 ) + 7

  8 = a (  6 )

   a = 8/6

    a =  4/3

the a value we can write the final vertex form

  y =  a ( x - ( - 3 ))² + 7

y = 4/3 ( x + 3 )² + 7

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Answer:

X = 14

Hope this helps!

Step-by-step explanation:

The small red square means the angle is 90°.

( 2x + 22 ) + ( 3x - 2 ) = 90°

2x + 22 + 3x - 2 = 90

( 2x + 3x ) + ( 22 - 2 ) = 90

5x + 20 = 90

5x + 20 - 20 = 90 - 20

5x = 70

x = 14

Answer: x = 14

Step-by-step explanation:

When you have a right angle, they add up to 90 degrees

So you add up the two angles that you have that equal a total of 90 degrees

2x+22 + 3x-2 = 90

5x+20 = 90

5x = 70

x = 14

I hope this helps :D

The volume of the composite solid is 340.4 cubic inches

The composite solid is made up of two parts one has

The volume for the uniform height  

= base area * height

base area = 0.5 base * height = 0.5 * 8 * 6.9 = 27.6

= 27.6 * 10

= 276 cubic inches

The volume for the varying height

= 1/3 base area * height

base area = 27.6 (both share same base)

= 1/3 * 27.6 * 7

= 64.4 cubic inches

The total volume

= 276 + 64.4

= 340.4 cubic inches

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Last year, Maria earned $54,000

In this question, we have been given  Maria earns a $50,000 salary plus a 10% commission on any sales over $20,000.

Last year Maria made $40,000 in sales.

This means, she got 10% commission

We find the 10 percent of 40000.

40000 * (10/100) = 4000

Her total earning would be,

$50,000 + $4000(commission) = $54,000

Therefore, Maria earned $54,000

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The value of game is 0.0769 .

Formula for Expected Value of Game :

Expected Value of Game = ( Probability of Winning * Profit ) + ( Probability of Losing * Loss )

According to question ,

P ( getting a face card ) = 12 / 52

                                   = 3 / 13

P ( not getting a face card ) = 1 - ( 3 / 13 )

                                             = 10 / 13

Expected value for this game = [ 7 * ( 3 / 13 ) ] + [ ( - 2 ) * ( 10 / 13 ) ]

                                                   = 0.0769

Hence , the value of game is 0.0769 .

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The speed of the faster car is 40 miles/hr.

both cars travel for same time , so let that time be 't'

car 1 :

distance travelled = 75 miles

let the speed of the car be = x miles/hr

∴ time (t)  = distance / speed

              t  =   75 / x               .............(1)

car 2 :

distance travelled = 100 miles

speed of the car is = x + 10 miles/hr  ( already provided )

∴  time ( t) = distance / speed

            t  = 100/ (x+10)        ..............(2)

    now as the time for both the cases is same  , so we equate eqn (1) and eqn (2) .

∴ 75/x  =  100/ (x+10)

3x + 30 = 4x

x = 30

so the speed of the 1st car will be 30 miles / hr

and the speed of the 2nd car ( faster car ) will  be x + 10 = 40 miles/hr

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The 95% confidence interval for the population proportion of members who vote yes is (0.782, 0.818).

A choice that is made at random (purely by chance, with no predictability). They tapes of samples are:

Convenient: Sample taken from a pool that is easily accessible.

Random: Put all the possibilities into a hat, then pull some of them at random. Every kth element is taken in a systematic manner. If you wanted to survey anything on the street, for instance, you may interview every fifth person.

Cluster: The population is divided into groupings, or clusters, and every component of each cluster is surveyed.

Stratified: Additionally stratifies the people into several groupings. But only a small portion of the group is questioned after that.

Now, finding the sample proportion,

[tex]p=\frac{x}{n} \\\\=\frac{1600}{2000}\\\\ =0.8[/tex]

The confidence level is given as,

[tex]C=p\pm[z(\frac{\alpha}{2})\times\sqrt{\frac{p(1-p)}{n} } ][/tex]

The value of [tex]z(\frac{\alpha}{2})[/tex] is 1.96

Putting the values, we get

[tex]C=0.8\pm[1.96\times\sqrt{\frac{0.8(1-0.8)}{2000} } ]\\\\C=0.8\pm[1.96\times\sqrt{\frac{0.8(0.2)}{2000} } ]\\\\C=0.8\pm0.018\\\\C=(0.782,0.818)[/tex]

Therefore, the 95% confidence interval is (0.782,0.818).

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The given question is incomplete. Here is the complete question.

a random sample of 2,000 members of a union reveals that 1,600 would vote yes on a merger proposal. what is the 95% confidence interval for the population proportion of members who would vote yes?

a) 0.782 to 0.818

b) 0.754 to 0.799

c) 0.690 to 0.713

d) 0.799 to 0.951

The probability that fewer than 60 out of a random sample of 500 adults will work from home is 0.03

In the given probability case we have;

What is the likelihood that, out of a random sample of 500 persons, fewer than 60 will work from home if 15% of adults in a particular country do so?

Let,

P = 15% = 0.15

n = 500

By considering the binomial distribution case the formula is given by

P( X = x ) = ⁿCₓ * Pˣ * (1 - P)ⁿ⁻ˣ

P( X ≤ 60 ) = ⁿCₓ * Pˣ * (1 - P)ⁿ⁻ˣ

                 = ⁶⁰∑ₓ=₀ (⁵⁰⁰Cₓ) (0.15)ˣ (1 - 0.15)⁵⁰⁰⁻ˣ

                 = 0.031

                 ≅ 0.03

Hence, the probability that fewer than 60 out of a random sample of 500 adults will work from home is 0.03

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Answer:

f(x) = |x-3| + 5

The factor of the expression 27 + 33 is 3.

What is meaning of factor?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Factors can be found using either division or multiplication. Rules of divisibility can also be applied.

What meaning of expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given expression is 27 + 33

The factors of 27 are 1, 3, 9, 27.

The factors of 33 are 1, 3, 11, 33.

The common factor of 27 and 33 is 3.

Taking common 3 from the given expression:

27 + 33 = 3 (9 + 11)

The factor of the given expression is 3.

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Answer:

y = 1x + -2

Step-by-step explanation:

Step 1: Calculating Slope (m).

m = y2 - y1 / x2 - x1

m =  -4 - 0 / -2 - 2

m = -4 / -4

m = 1

Now put value of m in equation...

y = 1x + b

Step 2: Calculating Y-intercept (b).

Lets choose the first point, ( 2, 0) for calculating y-intercept:

y = m ( x ) + b

0 = 1 ( 2 ) + b

0 = 2 + b

-2 = b

b = -2

Now put value of b in equation for your final answer...

y = 1x + -2

Hope this helps!

Using the concept of application of derivative it is concluded that the rate of change in the area of square tile is 94.25 cm²/hour.

The area of the square is defined as the square of its sides.

Let the side of the square is a then its area will be a².

Area of square figure = Side².

Let the side of the square is x= 29cm.

It is given that the side 29 cm tile is growing by 1.625 cm per hour on heating.

And the rate of change in side of square dx/dt = 1.625 cm/hour

We have to calculate the rate of change in an area of the square (A).

hen, area A = x²

On differentiating A with respect to time(t) we get a rate of change in area

dA/dt = d(x²)/dt

= 2x dx/dt

= 2×29×1.625

= 94.25 cm²/hour

Hence, the rate of change in the area of the square tile is 94.25 cm²/hour.

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Solving for g in the equation g =  (c - p)/0.325

An equation is a mathematical expression that show the relationship between two variables.

Since we are given the equation c = 0.325g + p, we desire to make g subject of the formula.

To do this, we perform some mathematical operations on it.

So, c = 0.325g + p

Now, to isolate 0.325g on the right hand side, we subtract p from both sides of then equation.

So, c = 0.325g + p

c - p = 0.325g + p - p

c - p = 0.325g

Now to isolate g, we divide both sides of the equation by 0.325. So, we have

c - p = 0.325g

(c - p)/0.325 = 0.325g/0.325

g = (c - p)/0.325

So, we have g =  (c - p)/0.325

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The required probability that there are at least 1 blue candy and 1 green candy left in the jar when you have taken out all the red candies is 7/12 .

Probability is defined as the ratio of total numbers of outcomes of an event to the favouable outcomes of an event.

We have , Red candies in the jar = 10

green canides in the jar = 30

blue candies in the jar = 20

total number of candies in jar = 60 i.e total number of outcomes = 60

The Probability that the last of sixty candies drawn is one of thirty green candies = 30/60 = 1/2

Ignoring green canides, probability that the last of the thirty other candies drawn is one of twenty blue = 20/30 = 2/3

The Probability that the last of sixty candies drawn is one of twenty blue candies = 20/60 = 1/3

The Probability that the last of sixty candies drawn is not one of twenty blue candies = 1 - 1/3

= 2/3

Probability that last draw would be blue and the last not blue would be green = 20/60 × 30/40

= 1/4 ----(1)

Probability that last draw would be green and the last not green would be blue = 30/60× 20/30

= 1/3 ------(2)

Now , Required probability that last draw would be either blue or green canidy = sum of above probabilty from equation (1)and (2)

= 1/4 + 1/3 = 7/12

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ANSWER: 137

Step-by-step explanation:

This can be rewritten as:

18 × 7 - (-1)² -(-9)

Using BODMAS

firstly open the brackets using the negative sign, we have;

18 × 7 +1² + 9

Now you can apply your BODMAS.

126 + 1 + 9

ANS = 137

Answer:

Step-by-step explanation:

The average length of two raven eggs is about 0.1 m.

Since the average length of a robin egg is about 0.02 m, 5 eggs laid end to end would measure about 0.1 m.

The area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.

When calculating a rectangle's area, we multiply the length by the width of the rectangle.

The area of the floors and walls must be measured before applying carpet or tiles on the floor, painting the walls, or installing cabinets in a space.

Given: A rectangular garden has x and y dimensions. The garden's width is increased by 2 feet while its length is decreased by 3 feet.

New length = x-3

New width = y+2

Area of new garden is given as:

=(length)(width)

= (x-3)(y+2)

Therefore, the area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.

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Answer:

The coefficient is 7 and the term that has it.

Answer:

5.090 x 10^-5

Step-by-step explanation:

A graph of the given equation (x - y = 6) is shown in the image attached below.

In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

Next, we would rewrite the given equation in standard form as follows:

x - y = 6

Adding y to both sides of the equation, we have the following:

x - y + y = 6 + y

x = 6 + y

Rearranging the equation, we have the following:

y = x - 6

By critically observing the graph (see attachment), the y-intercept is equal to -6 and the x-intercept is equal to 6.

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Answer:

6

Step-by-step explanation:

3x-7=11

3x-7=113x=11+7

3x-7=113x=11+73x=18

3x-7=113x=11+73x=183x/3=18/3

3x-7=113x=11+73x=183x/3=18/3 X=6

The complete proof using the AAS congruence postulate and CPCTC is explained below to show that QT ≅  SR.

When two angles of a triangle, and one of its side that is nonincluded are congruent to corresponding two angles and a nonincluded side in the another triangle, then both triangles are congruent by the AAS congruence postulate.

If two triangles are congruent, then all its corresponding parts are also congruent to each other based on the CPCTC theorem.

Below is the two-column proof that proves that side QT is congruent to side SR.

Statement                                     Reasons                                    

1. ∠R ≅ ∠T, QT ≅ SR                    1. Given

2. ∠TQS ≅ ∠RSQ                         2. Alternate interior angles

3. QS ≅ QS                                   3. Reflexive property

4. ΔTQS ≅ ΔRSQ                          4. AAS

5. QT ≅  SR                                   5. CPCTC

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The value of n is -22.

What is a variable?

Any traits, figures, or amounts that may be gauged or counted are considered variables.

Given:

5(n+4)/3=n-8

Move 3 to the right

5(n+4)=3(n-8)

5n+20=3n-24

5n-3n= -24-20

2n=-44

n=- 44/2=-22

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P(x) is a polynomial function having rational coefficients that has given roots is: P(x) = x³ + 2x² + 4x + 8.

P(x) has given roots: -4 and 2i. ​

A radical is always preceded by a pair of plus & minus signs.

As a result, there would be another root -2i.

All of the roots are -4, -2i, + 2i.

As, the number of roots given are 3, thus the polynomial formed ill be cubic.

The roots in terms of the polynomial can be written as-

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

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

Simplifying,

P(x) = x³ + 2x² + 4x + 8

Thus, P(x) is a polynomial function having rational coefficients that has given roots is P(x) = x³ + 2x² + 4x + 8.

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Slope:

The slope is found with m = (y2 - y1) / (x2 - x1).

You can use any two points, so I'd pick ones with positive x and y values.

Using (1,5) and (3,3):

    m = (3 - 5) / (3 - 1) = (-2)/(2) = -1

The slope is -1.

To find the y-intercept, we can go to the point (-1,7) and use the slope of -1.  A slope of -1 means that if x goes up by 1, then then y goes down by 1.  So if we go from x=-1 to x=0, then the y-value of 7 will go down by 1.

y-intercept (0,6)

The equation in slope-intercept form is y = -x + 6, since we already found the slope and y-intercept.

Exceed relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample.

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. Using samples, one can draw conclusions about populations. Since samples are useful, affordable, practical, and manageable, it is simpler to gather data from them. A crucial component of the scientific method is sampling, which enables researchers to demonstrate the validity of generalizable ideas using only a sample of particular facts. Additionally, sampling enables mathematicians to answer challenging paradoxes like the St.

Given,

Exceed relationship will the tolerable rate normally have when compared to the expected rate of deviations in the sample.

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