47.5% of children say that chocolate chip cookie is their favorite kind of cookie. If you randomly select 12 children find the probability that: a) at least 10 of them say that chocolate chip cookie is their favorite cookie. B) four of them say that chocolate chip cookie is their favorite cookie. C) Find the mean and standard deviation for this sample.

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer:

a) 160km

b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Step-by-step explanation:

a) d=speedxtime

so, 64x2. 5=160km

b) time=d/s

so, 160/50

it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes

Answer:

Im pretty sure its 36.

Step-by-step explanation:

9x2=18x2=36

I might not be fully correct though.

If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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Answer:

A - True
B - False
C - True

Step-by-step explanation:

A:
Parallel lines never intersect each other because in order for them to be classified as parallel, they must have the same slope, which will never cross over each other at any point; True
B:
A transversal does intersect two or more parallel lines, but crossing two parallel lines at three distinct points is not possible; False
C:
Perpendicular distance between parallel lines is always the same because they have the same slope and therefore are always the same distance away from each other; True

Answer:

B

Step-by-step explanation:

Complex solutions occur in conjugate pairs, thus

if - 4 + 7i is a solution then - 4 - 7i is also a solution

The central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle

For given question,

we need to find the radian measure of the central angle of a circle of radius r.

The central angle intercepts an arc of length s.

Let θ be the central angle in radians.

We know that the arc length of circle of radius r is,

s = r × θ

where s is the arc length

r is the radius of the circle

θ is the central angle measured in radians

From above equation,

we have, θ = s ÷ r

Therefore, the central angle in radians is given by θ = s/r, where s is the arc length and r is the radius of the circle

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Answer:

C

Step-by-step explanation:

The square root of 16 is four, and the square root of 25 is 5, so the answer would have to be in between the two.

When 5/9 of the tank is filled in 2 minutes, then it will take 3.6 minutes to fill the entire tank.

The definition of a fraction is a fraction multiplied by another fraction, integer, or a group of variables. Given that the 5/9 tank fills in 2 minutes. The duration of this period in seconds is 60×5= 120 seconds.

So the time taken to fill a 1/9 tank is calculated as follows,

Time taken = 120/5

=24 seconds

The time taken to fill the 9/9 tank (full) is calculated by multiplying 24 seconds and 9, we get,

24×9 = 216 seconds

= 3.6 minutes.

Therefore, the required answer is 3.6 minutes.

The complete question is -

If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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The value of T(1) by taking cross product r'(t) x r"(t) = \((-144(1)^2, 0, 24)\) = (-144, 0, 24).

To find the derivative of r(t), we can differentiate each term separately with respect to t:

r(t) = \((4t, 3t^2, 4t^3)\)

r'(t) = \((d/dt)(4t, 3t^2, 4t^3) = (4, 6t, 12t^2)\)

To find r"(t), we can differentiate r'(t) with respect to t:

r"(t) = \((d/dt)(4, 6t, 12t^2)\) = (0, 6, 24t)

To find r'(1), we can substitute t = 1 into r'(t):

r'(1) = \((4, 6(1), 12(1)^2)\) = (4, 6, 12)

To find r′(t) x r″(t), we can take the cross product of r'(t) and r"(t):

r'(t) x r"(t) = \((4, 6t, 12t^2) * (0, 6, 24t) = (-144t^2, 0, 24)\)

Finally, we can substitute the values we found into the last equation to find T(1):

T(1) = r'(t) x r"(t) = \((-144(1)^2, 0, 24) = (-144, 0, 24)\)

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The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.

A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.

Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.

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Answer: $10

Step-by-step explanation:

Sue has $10 more than Paul which means she has $20. Who is speaking has $16 more than Sue ($16 more than $20) which means they has $36.

Adding all of their money, $10, $20, and $36, equals $66

The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

1/22

Step-by-step explanation:

Its 1/22 because that is the total probability of your name being drawn for the prize

Answer:  \(\boldsymbol{2.376 \times 10^4}\)

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

Explanation:

Let's solve for 'a' in the original equation. Each x shown below indicates multiplication.

\((a \times 10^4)+(a \times 10^2) = 24240\\\\a(10^4+10^2) = 24240\\\\a(10000+100) = 24240\\\\a(10100) = 24240\\\\a = 24240/10100\\\\a = 2.4\)

I used the distributive property to factor out the 'a' in the second step.

As a check so far,

\((a \times 10^4)+(a \times 10^2) = (2.4 \times 10^4)+(2.4 \times 10^2) = (24000)+(240) = 24240 \checkmark\)

which shows we have the correct value for 'a'.

---------------

Once we determine the value of 'a', we can compute the expression your teacher wants.

\((a \times 10^4)-(a \times 10^2)\\\\(2.4 \times 10^4)-(2.4 \times 10^2)\\\\(24000)-(240)\\\\23760\\\\\boldsymbol{2.376 \times 10^4}\)

The answer is 2.376 × 10⁴

(a × 10⁴) + (a × 10²) = 24240

(a × 10⁴) - (a × 10²) = ?

Now,

a(10⁴ + 10²) = 24240

a(10000 + 100) = 24240

a(10100) = 24240

Divide 10100 from both side we get,

a(10100)/10100 = 24240/10100

a = 2.4

Here, The value of a is 2.4

So, substitute the value of a in equation

(a × 10⁴) - (a × 10²)

(2.4 × 10⁴) - (2.4 × 10²)

24000 - 240 = 23760 = 2.376 × 10⁴

Thus, The answer is 2.376 × 10⁴

-TheUnknownScientist 72

Answer:

y =37

x=12

z=131

Step-by-step explanation:

The angles of the left triangle are 59, 84 , y

They sum to 180

59+ 84+ y = 180

143 +y = 180

y = 180-143

y =37

The angles of the right triangle are 104,64,x

They sum to 180

104+64+x

168+x=180

x = 180-168

x=12

The angles of the middle triangle are x,y,z

They sum to 180

x+y+z

12+37+z = 180

49+z =180

z = 180-z

z=131

You know that the total measure of the angles in a triangle is 180 degrees.

You can use this to find angles x and y.

The angles of one of the triangles are x, 104, and 64. This means x would be 12.

104+64+x = 180

x = 180-104-64

x = 12

Use this same method to find y. The angles of the triangle y is in are 84, 59, and y. This means y is 37.

84+59+y = 180

y = 180-84-59

y = 37

Now you have x and y. The angles x, y, and z share one triangle. You can use this to find z.

x+y+z = 180

You know that x is 12 and y is 37.

12+37+z = 180

z = 180-12-37

z = 131

So...

x = 12

y = 37

z = 131

Answer:

Step-by-step explanation:

The algebraic identity to be used here :

We know that :

Therefore,

The zeros are :

Answer:

\(x=-\dfrac{9}{10} \quad x=\dfrac{9}{10}\)

Step-by-step explanation:

\(\begin{aligned}100x^2-81 & =(10^2)x^2-9^2\\ & = (10x)^2-9^2\end{aligned}\)

\(\textsf{Difference of Two Squares Formula}: \quad a^2-b^2=\left(a+b\right)\left(a-b\right)\)

\(\implies a=10x \: \textsf{ and } \: b=9\)

\(\implies 100x^2-81=(10x+9)(10x-9)\)

\(\begin{aligned}\textsf{To find the zeros}: \quad 100x^2-81 & = 0\\\\\implies (10x+9)(10x-9) & =0\\\implies 10x+9 & =0 \implies x=-\dfrac{9}{10}\\\implies 10x-9 & =0 \implies x=\dfrac{9}{10}\end{aligned}\)

is this a real question cause the awnser is fire

Answer:

Hello,

Step-by-step explanation:

\(27x^3-\dfrac{9}{2}x^2+\dfrac{1}{4}x-\dfrac{1}{216} \\\\=(3x)^3-3*(3x)^2*\dfrac{1}{6} +3*(3x)*(\dfrac{1}{6} )^2-(\dfrac{1}{6} )^3\\\\=\boxed{(3x-\dfrac{1}{6} )^3}\)

Answer:

10 times

Step-by-step explanation:

can i get brainly

If we go through it logically, it is only 1 time.

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

ben

Answer:

Step-by-step explanation:

Those are cute names

Im thinking of the name Samia because it means

A statistic is a numerical summary of a sample.

A sample statistic is explained as any number computed from a sample of data.

Examples include the sample average, median, sample standard deviation, and percentiles. A statistic is a random variable because it is based on data obtained by sampling technique in which each sample has an equal probability of being chosen.

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In this scenario, if a computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is $470, and its value 3 years later would be $1410.

The straight-line method of depreciation is a method of calculating the decline in value of an asset over time. Using this method, an asset's value is spread evenly over its useful life.

In this scenario, if the computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is ($2350 / 5) = $470.

Three years later, the computer's value would be $2350 - ($470 x 3) = $1410. This is because the value of the computer is decreasing by $470 per year, and after three years, the total amount of depreciation would be $470 x 3 = $1410.

It's important to note that the straight-line method of depreciation is a simple method and it does not reflect the real-world scenario in which assets may have a higher value of depreciation in the initial years and less in the later years. But it's easy to calculate and use.

In conclusion, if an asset is depreciated using the straight-line method, its value decreases evenly over its useful life. It's important for businesses to understand the various methods of depreciation and choose the one that best suits their needs.

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The measure of the lableled angles are x = 202 and  (x - 44) = 158

Before we can solve this question, we need to understand the geometry of the shape.

The shape we have here is a pentagon. The sum of angles in a pentagon is 540.  The angle with a red square is a right angle and the value is 90.

Therefore:

x + 90 + 90 + (x - 44) = 540

x + 180 + x - 44 = 540

2x + 136 = 540

2x = 540 - 136

2x = 404

x = 404/2

x = 202

Also:

(x - 44) = 202 - 44 = 158

Therefore, the angles x and (x - 44) measure 202 and 158 respectively.

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The unknown value x in the polygon is equal to 112 degrees.

The sum of angles in the given polygon be equal to 360 degrees. This implies that when we add all the total sides together, we must have a total of 360 degrees.

Since one of the indicated sides is a right angle, we can sum everything up and solve for x

Mathematically;

\(90 + 90 + x +(x - 44) = 360\)

Solving the equation above;

\(180 + x + x - 44 = 360\\180 + 2x - 44 = 360\\x = 112\)

The value of x in the figure given is 112.

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\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{d^2 = 41}}\)

\(\huge\boxed{\text{TAKE the SQUARE ROOT}}\)

\(\huge\boxed{\mathsf{d = \pm \sqrt{41}}}\)

\(\huge\boxed{\textsf{SIMPLIFY it}}\)

\(\huge\boxed{\mathsf{d = \pm \sqrt{41}\ or \sqrt{-41}}}}\)\(\huge\boxed{\mathsf{Answer: d = \bf \sqrt{41} \ or \ \sqrt{-41}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge{\boxed{\frak{Amphitrite1040:)}}}\)

Answer:

There are 12 quarters and 16 dimes

Step-by-step explanation:

Firstly, we need to know that a quarter is worth $0.25 while a dime is worth $0.10

There are 4 more dimes than quarters;

So if there are x quarters, there are x + 4 dimes

From the question we can get;

0.25(x) + 0.1(x + 4) = 4.6

0.25x + 0.1x + 0.4 = 4.6

0.35x = 4.6-0.4

0.35x = 4.2

x = 4.2/0.35

x = 12

X + 4 = 12 + 4 = 16

Answer: 18 x p is the answer.

Step-by-step explanation:

Answer:

18*p

Step-by-step explanation: