1. Here is a recipe for
making 4 pancakes:
6 tablespoons flour
14 pint milk
14 pint water
1 pinch of salt
1 egg
a) Write down the recipe
for 10 pancakes

Answer:

q = 6

Step-by-step explanation:

|q - 8| = 14

The negatives within an absolute value turn positive so it's really:

q + 8 = 14

q = 6

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

Answer:

3√45

= 9√5

= 20.12461

Answer:

\(9\sqrt{5}\)

Step-by-step explanation:

To simplify this radical, you want to first find the prime factorization of the radicand, which happens to be 45.

The lowest square root factor of 45 is 3.

Now, the radical looks like this:

\(\sqrt{3^2\cdot \:5}\\=\sqrt{5}\sqrt{3^2}\)

Of course, The square root of a squared number is still the same number so...

\(=3\sqrt{5}\)

Now, we aren't done here, as the 3 which was multiplied by the square root of 45 is still existent so...

\(=3 \cdot 3\sqrt{5} \\=9\sqrt{5}\)

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Using the law of cosines, the missing measures of the triangle are:

a = 5.6 m; B = 43.3°; C = 99.7°.

a² = c² + b² − 2bc × cos(A)

Given the following:

m∠A = 37°

b = 6 cm

c = 9 cm

Apply the law of cosines formula to find a:

a² = 9² + 6² − 2(6)(9) × cos(37)

a = √[9² + 6² − 2(6)(9) × cos(37)] ≈ 5.6 m

Find B:

b² = a² + c² − 2ac × cos(B)

6² = 5.6² + 9² − 2(5.6)(9) × cos(B)

36 = 112.36 - 100.8 × cos(B)

36 - 112.36 = - 100.8 × cos(B)

-76.36 = - 100.8 × cos(B)

-76.36/-100.8 = cos(B)

0.7278 = cos(B)

B = cos^(-1)(0.7278)

B = 43.3°

C = 180 - 37 - 43.3 [triangle sum theorem]

C = 99.7°

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The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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The number of hydrogen atoms present in the sculpture of earth if the mass of earth is 829 kg is 4.145 × 10²⁹.

Given that,

Mass of the sculpture of the earth = 829 kg

We know that,

Mass of an hydrogen atom = 2 × 10⁻²⁷ kg

Number of hydrogen atoms = Mass of earth / Mass of hydrogen atom

                                              = 829 / 2 × 10⁻²⁷

                                              = 414.5 × 10²⁷

                                              = 4.145 × 10²⁹

Hence the required number of atoms is 4.145 × 10²⁹.

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Step-by-step explanation:

I think is b i hope this works

Answer:

A) The probability that a randomly selected medical student who took the test had a total score that was less than 484 = 0.06178

B) The probability that a randomly selected study participant's response was between 504 and 516 = 0.29019

C) The probability that a randomly selected study participant's response was more than 528 = 0.00357

D) Option D is correct.

Only the event in (c) is unusual as its probability is less than 0.05.

Step-by-step explanation:

The b and c parts of the question are not complete.

B) Find the probability that a randomly selected study participant's response was between 504 and 516

C) Find the probability that a randomly selected study participant's response was more than 528.

D) Identify any unusual event amongst the three events in A, B and C. Explain the reasoning.

a) None.

b) Events A and B.

C) Event A

D) Event C

Solution

This is a normal distribution problem with

Mean = μ = 500

Standard deviation = σ = 10.4

A) Probability that a randomly selected medical student who took the test had a total score that was less than 484 = P(x < 484)

We first normalize or standardize 484

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (484 - 500)/10.4 = - 1.54

To determine the required probability

P(x < 484) = P(z < -1.54)

We'll use data from the normal distribution table for these probabilities

P(x < 484) = P(z < -1.54) = 0.06178

B) Probability that a randomly selected study participant's response was between 504 and 516 = P(504 ≤ x ≤ 516)

We normalize or standardize 504 and 516

For 504

z = (x - μ)/σ = (504 - 500)/10.4 = 0.38

For 516

z = (x - μ)/σ = (516 - 500)/10.4 = 1.54

To determine the required probability

P(504 ≤ x ≤ 516) = P(0.38 ≤ z ≤ 1.54)

We'll use data from the normal distribution table for these probabilities

P(504 ≤ x ≤ 516) = P(0.38 ≤ z ≤ 1.54)

= P(z ≤ 1.54) - P(z ≤ 0.38)

= 0.93822 - 0.64803

= 0.29019

C) Probability that a randomly selected study participant's response was more than 528 = P(x > 528)

We first normalize or standardize 528

z = (x - μ)/σ = (528 - 500)/10.4 = 2.69

To determine the required probability

P(x > 528) = P(z > 2.69)

We'll use data from the normal distribution table for these probabilities

PP(x > 528) = P(z > 2.69) = 1 - P(z ≤ 2.69)

= 1 - 0.99643

= 0.00357

D) Only the event in (c) is unusual as its probability is less than 0.05.

Hope this Helps!!!

Answer:

The answer is 18.2 OR 18 1/5

Step-by-step explanation:

Hope it helps

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

To graph this function, we can apply a translation 2 units up.

When doing this, we will obtain that the midline will be located at y=2 and that the minimum and maximum values will be 1 and 3 respectively.

We know this by adding 2 to the original values of sine function.

The midline of a normal sine function is y=0. If we add 2, it is y=2.

The minimum value of the sine function is -1. If we add 2, it is 1.

The maximum value of the sine function is 1. If we add 2, it is 3.

According to the instructions, you have to plot one point on the midline, and one of the minimum and one of the maximum values.

We know that the minimum value of sine is located at 3π/2 and that the maximum is located at π/2, so these points have to have those x coordinates respectively.

Plot the following points:

Those are (1.57, 3), (3.14, 2) and (4.71, 1).

The graph should look like this:

Answer:

10x7x5=350. Your answer is B! heart it if it was good!

Step-by-step explanation:

Answer:

to find the volume of a prism you need to multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Step-by-step explanation:

Answer:

the following system of inequalities is true

Step-by-step explanation:

there is no solution because the graph do not intersect

There is no solution because the graph does not intersect.

The following system of inequalities is true.

We have given that,

There is no solution because the shading does not overlap.

There is no solution because the graphs do not intersect.

The solution contains points in four quadrants of the coordinate plane.

The solution is equal to the solution to

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

There is no solution because the graph does not intersect.

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Answer:

More data needed.

Step-by-step explanation:

jijijijiji

Answer:

x+3y =6

2x+8y=-12​

The solutions to your equations are:

x= 42 and y= -12

lets check this

42+-36 =6

84+-96=-12​

Hope This Helps!!!

Answer:

317.43

Step-by-step expl

Using the normal distribution, it is found that the probabilities are given as follows:

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the parameters are given as follows:

\(\mu = 28.29, \sigma = 33.493, n = 52, s = \frac{33.493}{\sqrt{52}} = 4.6446\)

The probability that the mean is less than 29 million is the p-value of Z when X = 29, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{29 - 28.29}{4.6446}\)

Z = 0.15

Z = 0.15 has a p-value of 0.5596.

Hence, \(P(\overline{x} < 29) = 0.5596\).

The probability that the mean is more than 26 million is the 1 subtracted by the p-value of Z when X = 26, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{26 - 28.29}{4.6446}\)

Z = -0.49

Z = -0.49 has a p-value of 0.3121.

1 - 0.3121 = 0.6879.

Then, \(P(\overline{x} > 26) = 0.6879)\).

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The number of times of Puerto Rico is 5/6

No earthquake released 10³ of Colombia

From the question, we have the following parameters that can be used in our computation:

The table of values

On the table of values, we have

Colombia = 6.0M

Puerto Rico = 5.0M

This means that

Number of times = Puerto Rico/Colombia

Substitute the known values in the above equation, so, we have the following representation

Number of times = 5/6

Here, we have

Colombia = 6.0M

So, we have

Earthquake = Colombia * 10³

This gives

Earthquake = 6 * 10³

From the table of values, we have no entries with the readings 6 * 10³

Hence, no earthquake released 10³ of Colombia

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Answer:

1st -pentagon -regular

2nd -hexagon -irregular

3rd -octagon -irregular

Answer:

2/3

Step-by-step explanation:

Answer: 66.66%

Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66

Answer:

306.87 pounds of stuff

Step-by-step explanation:

Good students: 19 (students) × 13.2 (pounds of presents) = 250.8 lbs

Bad students: 9 (students) × 6.23 (pounds of coal) = 56.07 lbs

250.8 lbs + 56.07 lbs = 306.87 lbs of stuff

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer:

.

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....

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Step-by-step explanation:.

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Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

The equation for the graph is y+2=−3(x−1) because the value of y-intercept is 1 option (C) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equations are shown in the graph:

From the equation:

y+2=−3(x−1)

Plug x = 0

y = 1

The slope  m = -3

Thus, the equation for the graph is y+2=−3(x−1) because the value of y-intercept is 1 option (C) is correct.

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The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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