Add pairs of adjacent numbers and write their sums in the box above them. What number is at the top of the pyramid?

Answer:

0.9830 = 98.30% probability that the sum of three one-pound bags exceeds the weight of one three-pound bag

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Three one pound bags:

3 one pound mags, which have mean 1.18 and standard deviation of 0.07. The mean is 1.18 multiplied by 3, and the standard deviation will be 0.07 multiplied by the square root of 3. So

[tex]\mu_{1} = 3*1.18 = 3.54[/tex]

[tex]\sigma_{1} = 0.07\sqrt{3} = 0.1212[/tex]

Three pound bags:

Mean 3.22, standard deviation 0.09. So

[tex]\mu_{2} = 3.22, \sigma_{2} = 0.09[/tex]

What is the probability that the sum of three one-pound bags exceeds the weight of one three-pound bag?

Here, we work with the subtraction of the normal variables. The mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances. So

[tex]\mu = \mu_{1} - \mu_{2} = 3.54 - 3.22 = 0.32[/tex]

[tex]\sigma = \sqrt{\sigma_{1}^2 + \sigma_{2}^2} = \sqrt{0.1212^2+0.09^2} = 0.151[/tex]

This is the probability of the subtraction being positive, that is, 1 subtracted by the pvalue of Z when X = 0. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - 0.32}{0.151}[/tex]

[tex]Z = -2.12[/tex]

[tex]Z = -2.12[/tex] has a pvalue of 0.0170

1 - 0.0170 = 0.9830

0.9830 = 98.30% probability that the sum of three one-pound bags exceeds the weight of one three-pound bag

Answer:

10

Step-by-step explanation:

Answer:

a) $1.40   b) $9.35   c) $57.50

Step-by-step explanation:

a) The tax on the burger will be 3% of the cost of the burger.

This means 0.03 of 46.75 (0.03 x 46.75) = $1.40 tax

b) 20% of pre tax bill as tip would be:

0.20 of 46.75 (0.20 x 46.75) = $9.35 tip

c)Total cost of dinner including tax and tip would be:

Original Cost + Tax + Tip

= 46.75 + 1.40 + 9.35

= $57.50 total

Answer:

a

Step-by-step explanation:

rn rn m rn... rn

rn rn rn

rn em rn rnnn

Answer:

3.5972174e+13 could i get brainliest please?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

- 8 × - 3 = 24 ÷4=6

this is the right answer

Answer:

it depends on what you're doing

what's the name of the topic

Answer:

Step-by-step explanation:

Like terms have same variables. Combine like terms.

2) (-4x + 6) + (x - 5) = -4x + 6 + x - 5

                              = -4x + x  + 6 - 5

                             =   -3x + 1

4) (-2x + 10) + (-8x - 1) =  -2x + 10 - 8x - 1

                                 = - 2x - 8x + 10 - 1

                                = - 10x + 9

6) (8x + 9) + (-6x - 1) = 8x + 9 - 6x - 1

                                = 8x - 6x + 9 - 1

                                = 2x + 8

Answer:

Step-by-step explanation:

xhxj

Answer:

12 f

Step-by-step explanation:

Answer:

64/4

Have an amazing day!

Answer:

C. [tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]

Step-by-step explanation:

Physically speaking, the acceleration is equal to the second derivative of the position of the vehicle in time. After a careful reading to the statement, we construct the following ordinary differential equation:

[tex]\frac{d^{2}f}{dt^{2}} = k\cdot \sqrt[3] {t}[/tex]

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]k[/tex] - Proportionality constant, measured in meters per second up to 7/3.

Therefore, the correct answer is C.

The differential equation that models the situation is:

[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]

Which is option C.

The position is the integral of the acceleration, with is the integral of the acceleration, hence, the relation between the position and the acceleration is:

[tex]\frac{d^2f}{dt^2}[/tex]

The acceleration is proportional to the cube root of the time since the start, hence:

[tex]\frac{d^2f}{dt^2} = k\sqrt[3]{t}[/tex]

In which k is the constant of proportionality.

A similar problem is given at https://brainly.com/question/14480252

Answer:

A = 23°

B = 9.5

C = 14.7

Step-by-step explanation:

Right Answers :)

The missing values are:

A = 23°

b = 9.5

c = 14.72

"It is a triangle whose one of the angles measure greater than 90° and other two acute angles."

"The ratio of the length of a side of a triangle to the sine of the angle opposite to that side is the same for all sides and angles in a given triangle."

For given question,

We have been given an obtuse triangle ABC.

Here, ∠B = 32°

∠C = 125°

We know that the sum of all angles of  a triangle is 180°

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A + 32° + 125° =180°

⇒ ∠A = 23°

Using the law of sines to triangle ABC,

[tex]\Rightarrow \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC} \\\\\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} =\frac{c}{sin125^{\circ}}[/tex]

Consider,

[tex]\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{b}{0.53} \\\\\Rightarrow 7\times 0.53=b\times 0.39\\\\\Rightarrow b = 9.5[/tex]

Now we find the length of the side AB.

[tex]\Rightarrow \frac{7}{sin23^{\circ}} =\frac{c}{sin125^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{c}{0.82} \\\\\Rightarrow 7\times 0.82=c\times 0.39\\\\\Rightarrow c = 14.72[/tex]

Therefore, the missing values are:

A = 23°

b = 9.5

c = 14.72

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Answer:

Each person will get 1/48 of a pound of spice

Answer:

1/48 pound

Step-by-step explanation:

You have to do 3/4 divided by 36, so you get

[tex]\frac{3}{4} / 36 = \frac{3}{4} * \frac{1}{36} = \frac{1}{48}[/tex]

Answer: If, on earth, your mass is 30kg, then your weight is m*g which is mass (30kg) times Earth gravity (9.8m/s^2) = 294 N.

Step-by-step explanation:

The weight of a girl would be 294 N on Earth with a mass of 30 Kg.

Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

The weight on Earth of a girl would be the product of the mass and acceleration due to gravity on Earth

So the required solution would be:

⇒ weight  = mass × acceleration due to gravity on Earth

⇒ weight  = 30 × 9.8

⇒ weight  = 294 N.

Hence, the weight of a girl would be 294 N on Earth with a mass of 30 Kg.

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Answer:

Step-by-step explanation:

Daniel = d, Sara = s, Luke = l, Rachel = r

We get below relations:

Sum of ages:

Substitute and solve for s:

Rachel's age is:

Answer: i believe its 15

Step-by-step explanation:

it continues to go down by seven (if this is wrong I´m so sorry )

Answer:

118

Step-by-step explanation:

Distribute 5 through the parentheses

-5 - 5 - 2(-1 - 1) - 62(-1 - 1)

distribute -2 through the parentheses

-5 - 5 + 2 + 2 -62(-1-1)

distribute -62 through the parentheses

-5 - 5 + 2 + 2 + 62 + 62

calculate the sum & differences

118

Answer:

[ -3 4 ]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given point:

Slope-intercept form:

Use slope formula:

Use one of the points to find the y-intercept:

The line is:

Answer:

slope for y intercept={10--17)/(14--15)=27/29

Answer:

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Step-by-step explanation:

We need to find equation of direct proportion.

If y varies directly with x then:

[tex]y\:\alpha \:x\\y=kx[/tex]

Where k is constant of proportionality

So, Now Looking at all the options and comparing it with the general equation of direct proportion [tex]y=kx[/tex]

We get the correct option: y=8x

All other options are not according to direct equation

The equation of a direct proportion is: y=8x

So, the correct option is Option A.

Answer:

[tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex]

Step-by-step explanation:

We can directly substitute y of the first equation to the second equation.

-2x - 1 = 3x - 16

5x = 15

x = 3

Substituting back to any of the two equations, we get y = -2(3)-1 = -7.  If you check with the second equation, y = 3(3)-16 = -7 as well.

Therefore [tex]\left \{ {{x=3} \atop {y=-7}} \right.[/tex].

Answer:1.2

Step-by-step explanation:

The height of the 6th bounce of the ball will be 1.2 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

[tex]T_{n} =ar^{n-1}[/tex]

Where,

[tex]T_{n}[/tex] is the nth term.

r is the common ratio

a is the first term

According to the given question.

During the first bounce, height of the ball from the ground, a = 6 feet

And, the each successive bounce is 72% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

= 72% of 6

= [tex]\frac{72}{100} (6)[/tex]

= 0.72 × 6

= 4.32 feet

During the third bounce, the height of ball from the ground

= 72% of 4.32

= [tex]\frac{72}{100} (4.32)[/tex]

= 3.11 feet

Like this we will obtain a geometric sequence 6, 4.32, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.72

Therefore,

The sixth term of the geometric sequence is given by

[tex]T_{6} = 6(0.72)^{6-1}[/tex]

[tex]T_{6} =6(0.72)^{5}[/tex]

[tex]T_{6} = 6 (0.193)[/tex]

[tex]T_{6} = 1.16 feet[/tex]

[tex]T_{6} = 1.2[/tex] feet

Hence, the height of the 6th bounce of the ball will be 1.2 feet.

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Answer:

Base = 81 feet

Step-by-step explanation:

Given that,

Length of the ladder = 15 foot

Greg needed to clean his gutters which are 12 feet high from the ground.

We need to find how far away does Greg need to place the ladder from the base of the house to reach the gutters. Let it is b.

Here, hypotenuse = 15 feet, height = 12 feet and base = b

We can use Pythagoras theorem to find b.

[tex]b^2+h^2=H^2\\\\b^2=H^2-h^2\\\\b^2=15^2-12^2\\\\b^2=225-144\\\\b=81\ \text{feet}[/tex]

So, the ladder should be placed at a distance of 81 feet from the base of the house to reach the gutters.

Answer:

4.44444444444 or 40/9

Step-by-step explanation:

i searched it up

8 divided by 1 4/5 in fraction form will be 40 / 9. Then the faction number 40 / 9 in the decimal form will be 4.4444.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

The mixed fraction number is converted into a faction number.

⇒ 1 4/5

⇒ 1 + 4/5

⇒ (5 + 4) / 5

⇒ 9/5

Then the quotient of the numbers 8 and 9/5 will be given as,

⇒ 8 / (9/5)

⇒ 8 x 5 / 9

⇒ 40 / 9

The faction number 40 / 9 in the decimal form will be 4.4444.

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