BRAINLIEST ANSWER Twice the difference of a number and 4 is equal to three times the sum of the number and 4. Find the number.

Complete Question:

A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?

Answer:

A) 0.61351

Step-by-step explanation:

Sample proportion = 0.4

Sample population = 200

A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion

Statistically:

P(0.4-0.03<p<0.4+0.03)

P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200

P[-0.03/0.0346410 < z < 0.03/0.0346410

P(−0.866025 < z < 0.866025)

P(z < - 0.8660) - P(z < 0.8660)

0.80675 - 0.19325

= 0.61351

B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion

Statistically:

P(0.4-0.08<p<0.4+0.08)

P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200

P[-0.08/0.0346410 < z < 0.08/0.0346410

P(−2.3094 < z < 2.3094)

P(z < -2.3094 ) - P(z < 2.3094)

0.98954 - 0.010461

= 0.97908

Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

[tex]Distance \, formula = \sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}}[/tex]

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

[tex]\sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}} = Distance[/tex]

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

[tex]\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10[/tex]

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

Answer:

d

Step-by-step explanation:

Answer:

It is D

Step-by-step explanation:

Answer:

The answer is D or cubic binomial.

Step-by-step explanation:

Stay safe and mark brainliest! (even though you did all the work and got it right:);))

Answer: Forty-seven percent is the statistic and 31% is the parameter.

Step-by-step explanation:

Here is the complete question:

A study of parents of kindergarteners included 349 parents who were

chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre-kindergarten. Identify the statistic and the parameter.

Three hundred forty-nine is the parameter and 47% is the statistic.

Three hundred forty-nine is the statistic and 47% is the parameter.

Three hundred forty-nine is the parameter and 31% is the statistic.

Forty-seven percent is the parameter and 31% is the statistic.

Forty-seven percent is the statistic and 31% is the parameter.

A parameter is a value which tells one about something about a population. A parameter is the opposite of a statistic. A statistic tells you something about a small part of the population.

Sample size (n) = 349

From the given sample, we are told that 47% parents sent their students to pre-kindergarten and also that the school record shows that 31% parents sent their students to pre-kindergarten which is, p =0.31

So, 47% is the statistic and 31% is the parameter.

Answer:

Forty-seven percent is the statistic and 31% is the parameter.

Step-by-step explanation:

Answer: 5

Step-by-step explanation: just incase no one could see it

Answer:

(if their are no measurements for the smaller boxes) the biggest should cost the most

Step-by-step explanation:

it should hold the most popcorn and their for cost the moast

Answer:

Step-by-step explanation:

If triangles MNO and PQR are similar, then the corresponding sides are propotional and the corresponding angles are congruent.

So, we know by gvein that angles O and R are congruent. We only need another angle congruence to use the AA postulate of similarity.

Therefore, the right answer is the second choices, because Angle N must be congruent to Angle Q.

Answer: B: Angle N isn’t congruent to angle Q

Step-by-step explanation: You have to follow the letters MNO and PQR. We know O is congruent to R to get another angle we would use Angle N and Q because of the order since Angle M and angle Q aren’t in the same order and we’re not dealing with sides only Angles.

Agree with Elena, because 9x - 2x + 4x is equivalent to 11x, after the subtraction only applies to 2x.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes from after 9x.

And, Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.

Now,

Since, We know that;

⇒ 9x - 2x + 4x

⇒ 7x + 4x

⇒ 11x

Thus, Elena is correct as;

⇒ Elena says that 9x - 2x + 4x is equivalent to 11x, because the subtraction only applies to 2x.

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Answer:

3√13

Step-by-step explanation:

Distance = (-1,0)  (8,6) =3√13

1: The distance between  (-1,0)  (8,6) is=  √8-(-1))2+(6-0)2  =    3√13

Answer: 3√13

Hope this helps.

Answer:

y+10

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

Y-10 bc she ran 10 seconds faster

Answer:

$276

Step-by-step explanation:

345*4 = 1380

1380*.2 = 276

Answer

7 beakers

Step-by-step explanation:

going by filling the beakers it goes 2/5 4/5 7/5 (1 2/5) 1 4/5 2 1/5 2 3/5 3 beakers. Count that and it equals 7 beakers using 3 liters of water.

Answer:

4

Step-by-step explanation:

20 is the median

so before and after 20 is the Q3 and Q1

Q1 is 18

Q3 is 22

22 minus 18

The Interquartile range, IQR of the numbers is 4

The process of calculating the above Interquartile Range, IQR is as follows;

The given numbers in the data set are;

17, 18, 18, 19, 20, 21, 21, 23, 25

The required information;

Calculate the inter quartile range IQR = Q₃ - Q₁

The method;

The numbers in the data set are to be arranged in increasing order from smallest to largest number to give;

17, 18, 18, 19, 20, 21, 21, 23, 25 (The numbers were already arranged)

The values of first quartile, Q₁, and the third quartile, Q₃ are then found as follows;

The first quartile, Q₁ = The (n + 1)/4 th term

The third quartile, Q₃ = The 3·(n + 1)/4 th term

Where;

n = The number count in the data set = 9

Therefore:

Q₁ = The (9 + 1)/4 = The 2.5 th term = 18 + (18 - 18) × 0.5 = 18

Q₃ = The 3 × (9 + 1)/4 th term = 7.5 th term = 21 + (23 - 21) × 0.5 = 22

IQR = Q₃ - Q₁

Therefore;

IQR = 22 - 18 = 4

The Interquartile Range, IQR = 4

The Box and Whiskers plot of the above data created with MS Excel is

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Answer:

Infinite

Step-by-step explanation:

6x+3=6x+3

6x=6x

x=x

Infinite

The number of solutions should be infinite.

Since the equation is

6x + 3 = 6x + 3

So here,

6x+3=6x+3

6x=6x

x=x

So based on the above calculations, we can conclude that The number of solutions should be infinite.

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Answer:

I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)

ps. check if you have the question correct

Answer: 27

Step-by-step explanation:

Let original number be 27,

swapping round we get 72

1/3 rd of 72 = 24

24 + 3 = 27

Answer:

Your answer is 27.

Step-by-step explanation:

I hope this helps!

The value of x in the model that makes the equation true is: b. x = 2.25

We can find the value of x that makes the equation true by applying our knowledge of how to model equations.

From the image given:

[tex]-3x + 10[/tex]

[tex]5x - 8[/tex]

[tex]-3x + 10 = 5x - 8[/tex]

[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]

[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]

Therefore, the value of x in the model that makes the equation true is: b. x = 2.25

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Answer:

x = -8

Step-by-step explanation:

Step 1: Write the equation

1/4x = -2

Step 2: Divide both sides by 1/4

You should get -8 as your final answer.

Answer:

x = -8

Step-by-step explanation:

1/4 x = -2

Multiply each side by 4

1/4 x * 4 = -2*4

x = -8

Answer:

The depreciation each year is option B. $1500.00

Step-by-step explanation:

Initial value of car = $9600

Salvage value = $600

Salvage value is the final value of product after all the depreciation have been applied on the product.

So, total depreciation on the car = [tex]\$9600 - \$600 \Rightarrow \$9000[/tex]

Also, it is given that the depreciation occurs at a straight line method i.e. same depreciation occurs every year.

Depreciation in 6 years = $9000

Depreciation in 1 year =

[tex]\dfrac{\$9000}{6} \Rightarrow \$1500[/tex]

Hence, option B. $1500 is the correct answer for the depreciation every year.

Answer:

[tex]Sin156[/tex]

Step-by-step explanation:

Given

[tex]Sin24[/tex]

Required

Find equivalent between 0 to 180;

Let 24 be represented by [tex]\theta[/tex]

So, [tex]\theta = 24[/tex]

From Trigonometry ratios;

[tex]Sin\theta = Sin(180 - \theta)[/tex] where [tex]0\leq \theta \leq 180[/tex]

Recall that [tex]\theta = 24[/tex]

So, we have to substitute 24 for [tex]\theta[/tex] in the above expression.

This gives

[tex]Sin24= Sin(180 - 24)[/tex]

Subtract 24 from 180

[tex]Sin24= Sin156[/tex]

Hence, the equivalent of [tex]Sin24[/tex] is [tex]Sin156[/tex]

Answer:

27 laps

Step-by-step explanation:

So first step is to work out how many times 11 fits into 60

[tex] \frac{60}{11} = 5.4545455[/tex]

Then you would times that by the number of laps which is 5

[tex]5.454545455 \times 5 = 27.27.....[/tex]

So it is 27 laps as .27 of a lap is not a complete lap

Answer:

Option D

Step-by-step explanation:

[tex]4(5 + 3) = 2(22 -6)\\\boxed{\text {For the first part of the equation:}}\\\\4(5+3)\\\\=> 4*5 = 20\\=> 4*3 = 12\\\\\boxed{4(5+3)=20+12}\\\\\\\boxed{\text {For the second part of the equation:}}\\\\2(22-6)\\\\=> 2*22=44\\=> 2*-6 = -12\\\\\boxed{2(22-6)=44-12}\\\\\text {Put the two parts together, and we get:}\\\huge{\boxed{20+12=44-12}[/tex]

Answer:

y = 7x - 5

Step-by-step explanation:

y = 7x+2 we see the gradient is 7 (x 0) + 2 = Since the line is parallel to y= 7x +2

The new line has a slope of 7 + 2 as the intercept at y.

y - 0 = 7 ( x - 0)

y - 1/7 = x - 0

y = 7x - 5

As 7 -5 = 2

Hence equation of line becomes y=7x.

You must ensure that both equations have the same slope in order to find an equation for a line that is parallel to another. The m reflects your slope value in the general equation of a line, y=mx+b.

Now given line y=7x+2 ,this line is parallel to another line which passes through origin(0,0)

Hence putting 0,0 in general equation to find equation of parallel line

⇒y=mx+c

⇒0=m(0)+c

⇒0=c

where m=7 as parallel lines have same slope.

Hence equation of line becomes y=7x.

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Answer:

∠B` = 109.73°, ∠B = 70.27°

Step-by-step explanation:

∠B + ∠B` = 180°

The Sine Law:

10 / sin B` = 9.2 / sin 60°

10 / sin B` = 9.2 / √3/2

sin B` = 0.94133

B` = sin^(-1) 0.94133

∠B` = 109.73°, ∠B = 70.27°

Answer:

P=10/36=5/18

Step-by-step explanation:

if two dices are thrown the events(E)={36,45,54,63,46,55,64,56,65,66}=10

S (sample space)=36 because there are 2 dices.

soP=E/S=10/36=5/18

Answer: $10,114.41

Step-by-step explanation:

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

ANSWER: The answer is C

Answer:

Point T is on the circle

Step-by-step explanation:

To check where the point lies, we need to find its distance to the center of the circle.

The distance between two points (x1, y1) and (x2, y2) is given by:

[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]

If the first point is O(0,0) and the second is T(5, -2), we have:

[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]

[tex]distance = \sqrt{29}[/tex]

The distance between the points is equal the radius of the circle, that means the point T is on the circle.

Answer:

inside the circle

Step-by-step explanation:

Khan Academe

Answer:

[tex]x=-\dfrac{17}{26}[/tex]

Step-by-step explanation:

[tex]4(7x-1)=3(2x+1)-4(x+6)[/tex]

Expand parentheses:

[tex]28x-4=6x+3-4x-24[/tex]

Combine like terms:

[tex]28x-4=2x-21[/tex]

Subtract 2x from both sides:

[tex]26x-4=-21[/tex]

Add 4 to both sides:

[tex]26x=-17[/tex]

Divide both sides by 26:

[tex]x=-\dfrac{17}{26}[/tex]

Hope this helps!

Answer:

[tex]x = \frac{ - 17}{26} \\ \\ [/tex]

Step-by-step explanation:

[tex]4(7x - 1) = 3(2x + 1) - 4(x + 6) \\ 28x - 4 = 6x + 3 - 4x - 24 \\ 28x - 6x + 4x = 4 + 3 - 24 \\ 26x = - 17\\ \frac{26x}{26} = \frac{ - 17}{26} \\ x = \frac{ - 17}{26} \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!