Help please!!!! Thanksss

Answer:

the 95th percentile for the sum of the rounding errors is 21.236

Step-by-step explanation:

Let consider X to be the rounding errors

Then; [tex]X \sim U (a,b)[/tex]

where;

a = -0.5 and b = 0.5

Also;

Since The error on each loss is independently and uniformly distributed

Then;

[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]

where;

n = 2000

Mean [tex]\mu = \dfrac{a+b}{2}[/tex]

[tex]\mu = \dfrac{-0.5+0.5}{2}[/tex]

[tex]\mu =0[/tex]

[tex]\sigma^2 = \dfrac{(b-a)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(0.5-(-0.5))^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(0.5+0.5)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{(1.0)^2}{12}[/tex]

[tex]\sigma^2 = \dfrac{1}{12}[/tex]

Recall:

[tex]\sum X _1 \sim N ( n \mu , n \sigma^2)[/tex]

[tex]n\mu = 2000 \times 0 = 0[/tex]

[tex]n \sigma^2 = 2000 \times \dfrac{1}{12} = \dfrac{2000}{12}[/tex]

For 95th percentile or below

[tex]P(\overline X < 95}) = P(\dfrac{\overline X - \mu }{\sqrt{{n \sigma^2}}}< \dfrac{P_{95}- 0 } {\sqrt{\dfrac{2000}{12}}}) =0.95[/tex]

[tex]P(Z< \dfrac{P_{95} } {\sqrt{\dfrac{2000}{12}}}) = 0.95[/tex]

[tex]P(Z< \dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}}) = 0.95[/tex]

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1- 0.95[/tex]

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} = 0.05[/tex]

From Normal table; Z >   1.645 = 0.05

[tex]\dfrac{P_{95}\sqrt{12} } {\sqrt{{2000}}} =1.645[/tex]

[tex]{P_{95}\sqrt{12} } = 1.645 \times {\sqrt{{2000}}}[/tex]

[tex]{P_{95} = \dfrac{1.645 \times {\sqrt{{2000}}} }{\sqrt{12} } }[/tex]

[tex]\mathbf{P_{95} = 21.236}[/tex]

the 95th percentile for the sum of the rounding errors is 21.236

Answer:

Jen has 5c -23 cards now

Step-by-step explanation:

Matt has c baseballs.

Jen has 9 fewer than 5 times as Matt.

Mathematically, what Jen has will be 5c -9 baseballs

Now, Jen gives Matt 14 cards. This means that she lost 14 of her cards and we are going to subtract.

The number of cards she has now is thus 5c-9-14 = 5c -23 cards

Answer:

1463 : 5080

Step-by-step explanation:

There are 1463 cherry-flavored jelly beans.

There are 5080 non cherry-flavored jelly beans.

The ratio of cherry-flavored jelly beans to non-flavored jelly beans is:

1463 : 5080

Answer: B) 76.86

Step-by-step explanation:

Follow the steps others took to get D, then divide by 12 to get 76.86

Hope it helps <3

Answer:

Hello there!

~~~~~~~~~~~~~~~~~~~~~~`

Convert the fraction to a decimal by dividing the numerator by the denominator.

[tex]109 / 50 = 2.18[/tex]

Hope this helped you. Brainliest would be nice!

Answer: The area is 24 square units.

Step-by-step explanation:

Things you need to use in this exercise:

Area of a circle = pi*r^2

r is the radius, equal to half the diameter.

Ok, in the image we can see 3 half-circles.

one has a diameter of 8 units: with area A (the left one)

other has a diameter of 6 units: with area B (the bottom one)

and the other has a diameter equal to the hypotenuse of the right triangle: with area C (the white semicircle that also includes the right triangle)

Now, you can think the shaded area as:

The sum of the areas of the half circles A and B, minus the area of the half-circle C, plus the area of the right triangle (because the white triangle is also included in the white semicircle)

So the area is:

A + B - C + area triangle

A = pi*(8/2)^2 = 3.14*4^2 = 50.24

B = pi*(6/2)^2 = 3.14*3^2 = 28.26

the area of the triangle is equal to:

T = 6*8/2 = 24

Now, to obtain the area of the white semicircle ( C) we need the hypotenuse of the triangle, so here we can use the Pythagorean's theorem:

H^2 = 8^2 +6^2

H = √(8^2 + 6^2) = 10

Then:

C = pi*(10/2)^2 = 3.14*5^2 = 78.5

Then the shaded area is:

Area = 50.24 + 28.26 + 24 - 78.5 = 24

Answer:

(A)CPCTC

Step-by-step explanation:

Issa knows that ΔRED ≅ ΔTAN by the SSS theorem.

If two triangles are congruent, their corresponding parts will always be congruent. In fact, their corresponding angles will be equal.

Therefore, Issa concluded that ∠R ≅ ∠T by the fact that Corresponding Parts of Congruent Triangles are Congruent (CPCTC).

The correct option is A.

Similarly, we can also conclude that:

The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have equation:

[tex]\rm x-\dfrac{7}{x}=6[/tex]

After simplifying:

[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]

[tex]\rm x^2 +x-7x-7=0[/tex]

(x + 1)(x - 7) = 0

x = -1 or x = 7

Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Learn more about quadratic equations here:

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Answer:

C) x= -1 and x=7

Step-by-step explanation:

[tex]\bold{\text{Answer:}\quad \text{Recursive formula:}\ a_n=a_{-1}+2n+5}\\.\qquad \qquad \ \text{Explicit formula:}\ a_n=2n^2+3n-6[/tex]

Step-by-step explanation:

-1 → 8 = +9

8 → 19 = +11

19 → 32 = +13

32 → 47 = + 15

a₁ = -1

d = 2n + 5

Recursive formula is: the previous term plus the difference (d)

                               [tex]\large\boxed{a_n=a_{n-1}+2n+5}[/tex]

Explicit formula is the first term plus the product of d and n-1:

[tex]a_n=a_1+d(n-1)\\a_n=-1+(2n+5)(n-1)\\a_n=-1+2n^2-2n+5n-5\\\large\boxed{a_n=2n^2+3n-6}[/tex]

Answer:

work is shown and pictured

Answer:

( x + 36 ) ( x - 2 ) = 0

Step-by-step explanation:

x^2 + 36x - 2x -72 = 0

x ( x + 36 ) - 2 ( x + 36 ) = 0

( x + 36 ) ( x - 2 ) = 0

Answer:

Step-by-step explanation:

measure of angles of a circle=360

angle ACB=360-82=278 degrees

Answer:

forty two miles over three gallons

Step-by-step explanation:

2 gallons over 32 miles simplifies to 1 gallon over 16 miles, or 1 gallon per 16 miles. This is not the desired result, so we know the first choice is incorrect.

32 miles over 2 gallons simplifies to 16 miles over 1 gallon, or 16 miles per gallon. Again, this is not the desired result, so we know the second choice is also incorrect.

3 gallons over 42 miles simplifies to 1 gallon over 14 miles, or 1 gallon per 14 miles. While this may look correct, note that 1 gallon per 14 miles and 14 miles per gallon are not the same thing, so we know that the third answer is also incorrect.

By process of elimination, we know that the correct answer must be the last option, but let's still simplify it. 42 miles over 3 gallons simplifies to 14 miles over 1 gallon, or 14 gallons per mile. This is in fact the desired result, so we know that the correct answer is the last option. Hope this helps!

Answer:

[tex] x = 5.1 yd [/tex]

Step-by-step Explanation:

Angle of depression is congruent to angle of elevation.

Therefore, angle of elevation of the given figure, which is opposite to x is 25°.

Adjacent length = 11 yd

Opposite length = x

Trigonometric ratio formula for finding x is shown below:

[tex] tan(25) = \frac{opposite}{adjacent} [/tex]

[tex] tan(25) = \frac{x}{11} [/tex]

Multiply both sides by 11 to solve for x

[tex] 11*tan(25) = x [/tex]

[tex] 5.129 = x [/tex]

[tex] x = 5.1 yd [/tex] (to the nearest tenth)

Answer:

x =- 3 and y = -7

Step-by-step explanation:

2X-2Y=-8

X=2y + 11

We need to isolate both X and Y in both equations

so

2x-2y=-8

(add 2y to both sides)

2x=-8+ 2y

(divide both sides by 2)

x=-4+y and x=2y+11

because both of these equations are the same we can put them together

4+y=2y+11

(subtract y)

4=y+11

(subtract 11)

-7=y

so y = -7

then to find x you just need to plug in y to one of the equations

x=2(-7) + 11

x= -14 +11

x = -3

Answer:

x = - 19, y = - 15

Step-by-step explanation:

Given the 2 equations

2x - 2y = - 8 → (1)

x = 2y + 11 → (2)

Substitute x = 2y + 11 into (1)

2(2y + 11) - 2y = - 8 ← distribute and simplify left side

4y + 22 - 2y = - 8

2y + 22 = - 8 ( subtract 22 from both sides )

2y = - 30 ( divide both sides by 2 )

y = - 15

Substitute y = - 15 into (2) for corresponding value of x

x = 2(- 15) + 11 = - 30 + 11 = - 19

Solution is x = - 19, y = - 15

Answer:

1/20.

Step-by-step explanation:

Dividing by 4 is the same as multiplying by 1/4 so

1/5 / 4

= 1/5 * 1/4

= 1 /(5*4)

= 1/20.

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} \div 4[/tex]

Flip the second fraction and multiply

Dividing fraction is exactly same as multiplying the reciprocal

[tex] \frac{1}{5} \times \frac{1}{4} [/tex]

Multiply the fractions

[tex] \frac{1 \times 1}{5 \times 4} [/tex]

Calculate

[tex] \frac{1}{20} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Add each given variable

(6x + 10) + (x + 2) + x = 8x + 12

The sum of all the angles equals 180ᴼ

8x + 12 = 180

Subtract 12 from both sides

8x = 168

Divide by 8 on both sides

x = 21

Now plug in 21 for each x to find the measure of each angle.

(6[21] + 10) = 126 + 10 = 136ᴼ

(21 + 2) = 23ᴼ

x = 21ᴼ

Answer:

5n = 1.75

Step-by-step explanation:

The 2 bars are equal thus lower equals upper, that is

5n = 1.75

Answer: 20km/h

Step-by-step explanation:

20km/h.  Simply average 15 and 25 by doing (15+25)/2

Hope it helps <3

Answer:

dose it tell you want angle the arc is at?

Step-by-step explanation:

Answer:

only the inverse is a function

Answer:

d=16

Step-by-step explanation:

d: distance (10,4),(-6,4)

d=√(x2-x1)^2+(y2-y1)^2

d=√(-6-10)^2+(4-4)^2

d=√16^2

d=16

Answer:

go 4 to right or where is positive then thats it

Step-by-step explanation:

lololololololololololololol

Answer:

Volume of a sphere = 4/3πr³

π = 3.14

r = radius which is 3in

Volume = 4/3 × 3.14 × 3²

= 37.68

= 38 cubic inches to the nearest hundredth

Hope this helps

Answer:

38 cubic inches

Step-by-step explanation:

Answer:

(Factor out 2x from the expression)

2x (x +3)

Answer:

The answer is given below

Step-by-step explanation:

a) What is the probability that a randomly selected pregnancy lasts less than 242 days

First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,

[tex]z=\frac{x-\mu}{\sigma}=\frac{242-247}{16}=-0.31[/tex]

From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783

(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

If a sample of 17 pregnancies is obtained, the new mean [tex]\mu_x=\mu=247,[/tex] the new standard deviation: [tex]\sigma_x=\sigma/\sqrt{n} =16/\sqrt{17} =3.88[/tex]

c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{17} }=-1.29[/tex]

From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985

d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{242-247}{16/\sqrt{49} }=-2.19[/tex]

From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143

(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?

It would be unusual if it came from mean of 247 days

f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean

For x = 236 days

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{236-247}{16/\sqrt{20} }=-3.07[/tex]

For x = 258 days

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} }=\frac{258-247}{16/\sqrt{20} }=3.07[/tex]

From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939

Answer:

2 & 4

1 & 3

5 & 7

8 & 6

Vertical angles are formed in a set of intersecting lines. They are two differrent angles that are opposite of eachother but have the same angle.

Angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:

<1 and <3

<2 and <4

<5 and <7; and

<8 and <6

Recall:

Angles that are regarded as pairs of vertical angles share the same vertex and are directly opposite each other at the point of intersection of two straight lines.

<1 and <3 are directly opposite each other and share same vertex.

<1 and <3 are therefore are a pair of angles that are vertical angles.

<2 and <4; <5 and <7; and <8 and <6 are all directly opposite each other. They are vertical angles pair.

Therefore, angle pairs that are vertical angles in the diagram shown when a transversal intersects two parallel lines are:

<1 and <3

<2 and <4

<5 and <7; and

<8 and <6

Learn more here:

https://brainly.com/question/2889556

Answer:

We can prove that ΔTMB ≅ ΔTMD and ΔTMA ≅ ΔTMC by ASA. This means that BM = MD = BD / 2 = 8.5 and that AM = CM = 5 which means that CD = MD - CM = 8.5 - 5 = 3.5.

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350                                       1/2 X = 2/3 Y

                                                                X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

                                                     1/2 * 200 = 2/3 * 150

                                                       100 .      =   100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know that Pythagoras theorem:

[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]

10² = 8² + 6² = 64+36 = 100

Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

Learn more about the right angle triangle here:

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Answer:

Height = 3cm

Volume = 50.27cm^3

Step-by-step explanation:

Well to solve for the height with slant height and radius we can use the Pythagorean Theorem,

Which is [tex]a^2 + b^2 = c^2[/tex].

So we have c and a, so we have to fill those in.

(4)^2 + b^2 = (5)^2

16 + b^2 = 25

-16

b^2 = 9

[tex]\sqrt{b} \sqrt{9}[/tex]

b = 3cm

So to find the volume of a cone we use the following formula [tex]\pi r^2 \frac{h}{3}[/tex].

So we have the radius and height so we just fill those in.

(pi)(4)^2(3)/3

(pi)16(1)

pi*16

About 50.27cm^3