HELP QUICK! Find the value of x such that the data set 31.7, 42.8, 26.4, and x has a mean of 35

Answer:

7396.29 dollars

Step-by-step explanation:

compound quarterly means 4 times a year

% annually means the rate is divided by 4(year has 4 quarter

formula to find the compound interest:

A=P(1+r)^t , where t is the time

A=P(1+0.05/4)^4

A=4500(1+0.05/4)^40=7396.29

Answer:

$1.35

Step-by-step explanation:

Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:

3d + 5s = 25.05

4d + 2s = 13.80

We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.

-6d - 10s = -50.1

20d + 10s = 69

Add them together:

14d = 18.9

d = 1.35

Step-by-step explanation:

Can you please attach the picture of the prism.

Answer:

She will need to buy 1,305 pieces of candy

Answer:

1305 pieces of candy

Step-by-step explanation:

45 pieces of candy per bag times 29 bags = 1305 pieces of candy

45 x 29 = 1305

Answer:

(a) 0.35

(b) 0.43

(c) 0.49

(d) 0.54

Step-by-step explanation:

The complete question is:

Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 40. b) 48. c) 56. d) 64.

Solution:

(a)

There are n = 40 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {34\choose 6}}{{40\choose 6}}=\frac{1344904}{3838380}=0.35038\approx 0.35[/tex]

(b)

There are n = 48 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {42\choose 6}}{{48\choose 6}}=\frac{5245786}{12271512}=0.42748\approx 0.43[/tex]

(c)

There are n = 56 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {50\choose 6}}{{56\choose 6}}=\frac{15890700}{32468436}=0.48942\approx 0.49[/tex]

(d)

There are n = 56 positive integers.

Compute the probability of selecting none of the correct six integers in a lottery as follows:

[tex]P(\text{0 Correct integers})=\frac{{6\choose 0}\cdot {58\choose 6}}{{64\choose 6}}=\frac{40475358}{74974368}=0.53986\approx 0.54[/tex]

Probability of selecting none of the six integers in a lottery is 0.35

Assuming that number n = 40.

n = 40 as a positive integer

Probability of selecting none of the correct six integers in a lottery = C(34 , 6) / C(40 , 6)

Probability of selecting none of the correct six integers in a lottery = 1344904 / 3838380

Probability of selecting none of the correct six integers in a lottery = 0.35

Find out more information about 'Probability'.

https://brainly.com/question/11234923?referrer=searchResults

Answer: 9953/10000

Step-by-step explanation:

There is no simplifying this and this is the fraction it is at its least form!, Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

9953/10000

Step-by-step explanation:

0.9953 as a fraction is written as 9953/10000(nine-thousand fifty-three over ten-thousand)

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

x1 = 0.54

x2 = –6.55

Step-by-step explanation:

use the calculator

Answer:

The question is incomplete. You can’t reduce 84 unless yo7 want it as a power of numbers. Most likely the question is a fraction or eqaaution

Step-by-step explanation:

Answer:

(5+a)/ ( a-1)

Step-by-step explanation:

f(x) = ( 3+x) / (x-3)

Replace x with a+2

f(a+2) = ( 3+a+2) / (a+2-3)

Combine like terms

         = (5+a)/ ( a-1)

Answer:

C. (5+a)/(a-1)

Step-by-step explanation:

f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)

Answer: RV = 27 meters

Step-by-step explanation: Median is a line which unites a vertice and a midpoint of the opposite side. The point where, in a triangle, the medians intersect is called Centroid. The centroid divides the median in a ratio of 2:1, so Centroid Theorem states that the centroid of the triangle is at 2/3 of a distance from the vertex to the midpoint of the sides.

The attached figure shows the medians and centroid.

RW and WV are components of RV, the median.

If RW is 18 and following the theorem:

RW = [tex]\frac{2}{3}[/tex].RV

RV = [tex]\frac{3}{2}[/tex]. RW

RV = [tex]\frac{3}{2}.18[/tex]

RV = 27

The median RV measures 27 meters.

Answer:

3x

Step-by-step explanation:

34x^3=r^2×3,14×X/3

×3 34x^3= r^2×3,14×X/3 ×3

102x^3=r^2×9.42×X

÷9.42×X ÷9.42×X

10.83x^2=r^2

√10.83x^2= √r^2

3x=r

Answer:

if x>0 and y=0 the point is located on the x-axis

Answer:

x-axis on the right side

Step-by-step explanation:

the point (x,y) located on the x-axis

example x=1, y=0

Answer:

Option (D)

Step-by-step explanation:

Function in red is,

f(x) = x²

When a function f(x) is translated h units to the left, rule to be followed,

f(x) → f(x + h)

If the function is translated 2 units left,

Translated function (in blue) will be,

g(x) = (x + 2)²

Option (D) will be the answer.

Answer:

f(3) = 8

Step-by-step explanation:

f(x) = 5x - 7

Put x as 3 and evaluate.

f(3) = 5(3) - 7

f(3) = 15 - 7

f(3) = 8

Answer: 8

Step-by-step explanation:

Answer:

y=9x

Step-by-step explanation:

(0,0),(1,9)

when x=0, y=0, means b=0

m is the slope =9

y=9x

Answer:

yes the answer is 9 on any question

Step-by-step explanation:

Statement 1. [tex]\angle BCA\cong\angle DAC.[/tex]

Reason 1. Alternate interior angles formed when two parallel lines are cut by a transversal are congruent.

Statement 2. [tex]\overline{AC}\cong\overline{AC}.[/tex]

Reason 2. Reflexive congruence of segments (a segment is congruent to itself).

Statement 3. [tex]\triangle ACD \cong\triangle CAB.[/tex]

Reason 3. SAS congruence (using our two congruences above and the given congruence).

Statement 4. [tex]\angle ACD=\angle CAB.[/tex]

Reason 4. Corresponding parts of congruent triangles are congruent.

Statement 5. [tex]\overline{AB}\parallel\overline{CD}.[/tex]

Reason 5. If the alternate interior angles formed when two lines are cut by a transversal are congruent, then the lines are parallel.

Statement 6. [tex]ABCD[/tex] is a parallelogram.

Reason 6. The quadrilateral satisfies the definition of a parallelogram: a quadrilateral where both pairs of opposite sides are parallel.

Answer:

           [tex]\bold{x=\sqrt{\dfrac{2U}{k}}}[/tex]

Step-by-step explanation:

                                         [tex]U=\frac12kx^2\\\\2U=kx^2\\\\\dfrac{2U}k=x^2\\\\x=\sqrt{\dfrac{2U}k}[/tex]

or if you miswrite and it should be: U=1/(2kx^2), than

[tex]U=\dfrac1{2kx^2}\\\\\dfrac1U=2kx^2\\\\\dfrac1{2kU}=x^2\\\\x=\sqrt{\dfrac1{2kU}}[/tex]

1) 2.4

2) 6.4

3) 7.7

4) 9.9

5) 2.8

Hope it helps <3

Just basic simplification, make 1 of the variable alone on one side

Answer:

[tex]h=6.93units[/tex]

Step-by-step explanation:

1. Use the formula of volume of a cone

Volume of a cone=[tex]\frac{1}{3}\pi r^{2} h[/tex]

2. Collecting the information from a question.

In the question, we know that radius=2 units, Volume of a cone=29 cubic units, height of a cone=?

In this question, we can also know that the question requires us to find the height of a cone.

3. Put the value of variables into the formula.

We can put all the information that are provided by a question into the formula of volume of a cone to find the answer.

[tex]\frac{1}{3} *3.14 * 2^{2} h=29 units^{3}[/tex]

pi replaces with 3.14, radius replaces with 2 units, Volume of a cone replaces with 29 units3 and we don't know what is the value of h.

Now, let's simplify and calculate the value of h.

We can simplify the formula like this,

[tex]\frac{314}{75}h =29 units^{3}[/tex]

[tex]\frac{314}{75}[/tex] is the result of [tex]\frac{1}{3}* 3.14*2^{2}[/tex]

Move [tex]\frac{314}{75}[/tex] to other side.

[tex]h=\frac{29units^{3} }{\frac{314}{75} }[/tex]

[tex]h= 6.92675 units[/tex]

But wait, this is not final answer yet, the question requires the answer to the nearest hundredth. So, we need to convert the answer to the nearest hundredth.

[tex]h= 6.92675 units[/tex]

[tex]h=6.93units[/tex]

So, the final answer is 6.93 units.

I hope my solution and explanation are clear for you. If you still cannot understand my point, you can ask me anytime!! Thank you!

Answer:

Cheapest price is £25.38

Step-by-step explanation:

To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer

=>Cost of getting 10 rolls at £9.21 per roll:

10 × £9.21 = £92.1

=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls

£25.38 = 3 rolls

x = 10 rolls

x = (25.38*10)/3 = 253.8/3

10 rolls would cost x = £84.6

=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:

£42.85 = 5 rolls

x = 10 rolls

x = (10*42.85)/5 = 428.5/5

x = £85.7

From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.

Therefore, the cheapest price is £25.38

Answer:

3x² + 1

Step-by-step explanation:

The perimeter is the sum of the exterior lengths of a polygon.

Here, the perimeter will be the sum of the lengths of the triangle. Two of them are given: 5x² + x - 4 and 3x + 2. Let's say the third side is A. Then, we know that:

P = 8x² + 4x - 1 = (5x² + x - 4) + (3x + 2) + A

On the right side, we have:

(5x² + x - 4) + (3x + 2) + A

5x² + 4x - 2 + A

This is equal to 8x² + 4x - 1:

5x² + 4x - 2 + A = 8x² + 4x - 1

Solve for A by isolating it:

A = (8x² + 4x - 1) - (5x² + 4x - 2) = 8x² + 4x - 1 - 5x² - 4x + 2 = 3x² + 1

The third side is thus 3x² - 1.

Answer:

It's (C) But if you do it like this you get 13/6

Step-by-step explanation:

============================================================

The list of triangles are:

The diagram below is probably a better way to see all the triangles.

Answer:

see below

Step-by-step explanation:

There are 52 cards in the deck

4 kings

P(king) = king/total = 4/52 = 1/13

replacement

52 cards , 4 queens

P(queen) = queen/total = 4/52 = 1/13

P(king, replacement, queen) = 1/13 * 1/13 =1/169

There are 52 cards in the deck

4 kings

P(king) = king/total = 4/52 = 1/13

no replacement

51 cards , 4 queens

P(queen) = queen/total = 4/51 =4/51

P(king,  no replacement, queen) = 1/13 * 4/51 =4/663

I hope this helps you

Answer:

26 boys.

Step-by-step explanation:

You know that there are 36 students on the soccer team, and 19 are girls. 36 - 19 = 17. There are 17 boys on the track team.

There are 18 boys on the basketball team.

To find out how many boys are on the track team, all you need to do is...

61 - (17 + 18) = 61 - 35 = 26.

There are 26 boys on the track team.

Hope this helps!

Answer:

nw to s so it makes it 2.1

Step-by-step explanation:

the answer 5.6

Answer:

21

Step-by-step explanation:

The formula for triangular numbers is n×(n+1)÷2 (n is the step of next number)

we have 1, 3, 6, 10, 15 so the next step would be 6th

6×(6+1)÷2 = 21

Answer:

360.124 in expanded and exponential form :

300+60+1/10+2/100+4/1000