Find the shaded parts . Also include the explanations to get brainliest

Answer:

94

Step-by-step explanation:

the sample size of the first survey is 15+26+7 = 48

so, for 48 surveyed teachers we get 15 SUV drivers.

our expectations is to get the same ratio also for other sample sizes (like 300).

15/48 = x/300

x = 15×300 / 48 = 15×75 / 12 = 93.75 ≈ 94

The probability that a 5-card straight will be drawn from a standard deck of 52 cards if the first three cards drawn are the 2 of spades, the 4 of diamonds, and the 6 of diamonds is 0.005.

A standard deck has 52 cards.

In this case, three cards are already drawn from the deck, which are the 2 of spades, the 4 of diamonds, and the 6 of diamonds. Thus, remaining number of cards=  49.

Probability of getting first card: 1/4

Probability of getting the second card from same suit= 1/13+ 1/13+ 1/12+ 1/11= 563/1716

Probability of getting the third card from same suit= 1/12+1/12+ 1/11+ 1/10= 472/ 1320

Probability of getting the fourth card from same suit= 1/11+ 1/11+ 1/10+ 1/9= 389/ 990

Probability of getting the fifth card from same suit= 1/10+ 1/10+ 1/9+ 1/8= 314/ 720

Therefore, total probability of the event that a 5-card straight will be drawn,

= (1/4)* (563/1716)* (472/ 1320)* (389/990)* (314/720)

= 0.005

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Answer:

Yes, Chen earned a bonus for the journey.

Step-by-step explanation:

1 hour = 61 km

4.5 hrs = 61 * 4.5 = 274.5 km

Now,

96 litres = 274.5 km

1 litre = 274.5/96 km

1 litre = 2.859 = 2.9 km (approximately)

So, he drived more than 2.8 kilometers per litre of fuel.

Answer:

Yes

Step-by-step explanation:

Calculating distance travelled by Chen

Calculating distance covered per litre of fuel

Step-by-step explanation:

4:6 as a fraction is 4/6

4/6 in its lowest terms is 2/3

hope this helps

The area of the region R can be determined by calculating the definite integral of 1/√x from 4 to 9. The area is equal to 8/3.
To determine the value of K, we need to divide the area of region R into two regions of equal area. Let R1 be the region in the first quadrant under the graph of y=1/√x from 4 to K and let R2 be the region in the first quadrant under the graph of y=1/√x from K to 9.

We can determine the area of R1 by calculating the definite integral of 1/√x from 4 to K. This is equal to (2√K-2√4). Similarly, we can determine the area of R2 by calculating the definite integral of 1/√x from K to 9. This is equal to (2√9-2√K).
Since we want to divide the region R into two regions of equal area, the two definite integrals must be equal. This means that 2√K-2√4 = 2√9-2√K. Solving for K gives us K = 6.

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Answer:

\(\dfrac{1}{x^{48}y^{36}z^{6}}\)

Step-by-step explanation:

\( (\dfrac{(x^2y^3)^{-2}}{(x^6y^3z)^{2}})^3 = \)

\( = (\dfrac{1}{(x^6y^3z)^{2}(x^2y^3)^{2}})^3 \)

\( = (\dfrac{1}{x^{12}y^6z^{2}x^4y^6})^3 \)

\(= (\dfrac{1}{x^{16}y^{12}z^{2}})^3\)

\(= \dfrac{1}{x^{48}y^{36}z^{6}}\)

Answer:

\(\displaystyle \frac{1}{x^{48}y^{36}z^6}\)

Step-by-step explanation:

\(\displaystyle[\frac{(x^2 y^3)^{-2}}{(x^6 y^3 z)^2 } ]^3\)

\(\displaystyle \frac{(x^2 y^3)^{-6}}{(x^6 y^3 z)^6 }\)

\(\displaystyle \frac{(x^{-12} y^{-18})}{(x^{36} y^{18}z^6 ) }\)

\(\displaystyle \frac{x^{-48} y^{-36}}{z^6 }\)

\(\displaystyle \frac{1}{x^{48}y^{36}z^6}\)

Answer:

Length arc AB = 3.14 in

Step-by-step explanation:

Length of arc AB = central angle/360 * 2πr

Central angle = 30°

Radius (r) = 6 in.

Substitute

Length of arc AB = 30/360 * 2*π*6

Length arc AB = 3.14 in. (Nearest tenth)

Answer:

3.14

Step-by-step explanation:

its just right

Answer:

after 10 hours she made 150$

Step-by-step explanation:

:)

Answer:

The total amount made after working 10 hours would be $150

Answer: It says it right there

Step-by-step explanation:

create a video explaning

The function in Excel that we should use to find a measurement M given a right-tail probability (or area) A is = NORM.INV(1-A, mu, sigma)

In order to find a measurement M given a right-tail probability A in Excel, we can use the NORM.INV function. The NORM.INV function in Excel returns the inverse of the normal cumulative distribution for a given probability.

The formula for NORM.INV function is:

= NORM.INV(1-A, mu, sigma)

where:

A is the right-tail probability (or area)

mu is the mean of the distribution

sigma is the standard deviation

The function returns the measurement M such that the right-tail area from M to infinity under the normal curve is equal to A.

Note - In some versions of Excel, the function may be called NORM.INV.RT instead of NORM.INV.

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Answer: Angles 2 and 3 are vertical angles

Step-by-step explanation:

Vertical angles are angles that are not adjacent, and are made by the same 2 lines.

The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer:

10

Step-by-step explanation:

2. 2. 2

6 +8 = C

36+64=100

Square root 100=10

Answer:

-10

Step-by-step explanation:

here is my explanation i count the distance from store to home for B

and that give me 8^2

for A i count the distance home to school give me 6^2

I add it 6^2 + 8^2 = -10

so C= -10

let me know if is correct

the awnser to your question is

(x,y)>(y,-x)

Answer:The answer is (x,y) -(y,-x)

Step-by-step explanation:it's

Hi :)

f(r) = 3.14r2

f(7) = 3.14(7)(2)

f(7) = 43.96

Answer: Option d.  0.26

Step-by-step explanation:

Since the addition of complementary angles = 90°

75° + x = 90°

x = 90° - 75 °

x = 15°  ( the complementary angle )

sine 15° = 0.25882

             = 0.26 correct to two decimal places

Answer:

8300

Step-by-step explanation:

First, do parenthesis

Then, do the rest of the PEMDAS

Last, you're done!

Answer:

7.5 miles per hour

Step-by-step explanation:

3.75/.5 = 7.5 miles per hour

f. £450,000 To calculate the group's reserves for the consolidated statement of financial position, we need to consider the equity of both Gru and Agnes, including the impact of the impairment of goodwill.

Gru acquired 80% of Agnes, which implies that Gru's share in Agnes' reserves is 80%. Therefore, Gru's share of Agnes' reserves is £30,000 * 80% = £24,000. The consolidated reserves at the reporting date would be the sum of Gru's reserves (£400,000) and Agnes' reserves (£50,000), excluding the impairment of goodwill (£35,000). Thus, the consolidated reserves are £400,000 + £50,000 - £35,000 = £415,000. However, we need to subtract Gru's share of Agnes' reserves to avoid double counting. Therefore, the group's reserves to present in the consolidated statement of financial position at 31 December 2021 are £415,000 - £24,000 = £391,000.

The group's reserves to present in the consolidated statement of financial position at 31 December 2021 are £450,000.The group's reserves to present in the consolidated statement of financial position at 31 December 2021 is £388,000.

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Answer:

its -18 going to the right closed circle

Step-by-step explanation:

Answer: r >_ (greater than or equal to) -18

Step-by-step explanation:

You would place it on -18 :)

You’re welcome :)

Answer:

answer is b)

\( {(r + s)}^{2} = {r}^{2} + 2rs + {s}^{2} \)

Answer:

The Prime Factorization is:

2 x 7

In Exponential Form:

21 x 71

CSV Format:

2, 7

Prime Factors Tree

 14  

 /  \  

2   7

Prime[1] = 2, Prime[4] = 7

Step-by-step explanation:

If a 1-meter square table were smooth to one part in 100000, the largest bumps on the table would be approximately 10 micrometers tall.

Uniformity is an important concept in various fields of science, including physics and mathematics. When we talk about uniformity, we refer to how much variation or deviation there is in a particular parameter or property. In the context of a surface, uniformity refers to how flat or even the surface is, and how much variation there is in its height or depth.

Now, let's compare the level of uniformity of a surface to that of a table that is 1-meter square. If the surface of the table were smooth to one part in 100000, this means that there would be a maximum deviation of 1/100000 or 0.00001 meters in the height of the surface. In other words, the largest bumps on the table would be 0.00001 meters tall.

To put this in perspective, imagine taking a strand of your hair and dividing it into 100 parts. One of these parts would be approximately the size of the largest bumps on the table. That's how small they would be!

To express this answer to one significant figure, we can round the height of the largest bumps on the table to 0.00001 meters or 10 micrometers (μm), which is a common unit of measurement for surface roughness.

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Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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Mary's expected effective annual yield (EAY) is approximately 1.06%.

To calculate the effective annual yield (EAY) of a bond, we need to consider the coupon rate, the purchase price, and the remaining years until maturity.

In this case, Mary bought a 20-year bond with an 8% coupon rate (paid semi-annually) and a $1000 par value for $1050. To calculate the EAY, we can follow these steps:

Calculate the semi-annual coupon payment: 8% of $1000 is $80. Since it is paid semi-annually, the coupon payment for each period is $80/2 = $40.

Calculate the total coupon payments over the 20-year period: There are 20 years, which means 40 semi-annual periods. The total coupon payments will be $40 multiplied by 40, resulting in $1600.

Calculate the total amount paid for the bond: Mary purchased the bond for $1050.

Calculate the future value (FV) of the bond: The future value is the par value of $1000 plus the total coupon payments of $1600, resulting in $2600.

Calculate the EAY using the following formula:

EAY = \((FV / Purchase Price) ^ {(1 / N)} - 1\)

where N is the number of years until maturity.

In this case, N = 20, FV = $2600, and the purchase price is $1050.

Plugging the values into the formula:

EAY = \(($2600 / $1050) ^{ (1 / 20) }- 1\)

Calculating the expression:

EAY = \((2.47619047619) ^ {0.05\) - 1

EAY ≈ 0.0106

Rounded to two decimal places, Mary's expected effective annual yield (EAY) is approximately 1.06%.

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The y-intercept of the equation  g(x) = 3^x - 5 is (0, -4) and the asymptote of the equation  g(x) = 3^x - 5 is y = -5

The equation of the function g(x) is given as:

g(x) = 3^x - 5

The y-intercept is a point on the graph where the value of x is 0

This is represented by x= 0 or (0, y)

This means that we substitute 0 for x in the above equation

So, we have:

g(0) = 3^0 - 5

Evaluate the exponent 3^0

g(0) = 1 - 5

Evaluate the difference of 1 and 5

g(0)  = -4

Rewrite this point as

(0, -4)

This means that the y-intercept of the equation  g(x) = 3^x - 5 is (0, -4)

The equation of the function g(x) is given as:

g(x) = 3^x - 5

The asymptote is a point on the graph where that is parallel to the graph

In the above equation, we have:

g(x) = 3^x - 5

Express the radical as 0

y = 0 - 5

Evaluate the difference of 0 and 5

y  = -5

This means that the asymptote of the equation  g(x) = 3^x - 5 is y = -5

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The expression equivalent to (-√8 -√2) + √-36 is -3√2 + 6i.

A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively. Additionally, I = -1 and both a and b are real numbers.

Consequently, a complex number is a straightforward illustration of the addition of two integers, specifically a real number and an imaginary number. It consists of two parts: one that is entirely real, the other entirely fantastical.

The given expression is:

(-√8 -√2) + √-36

The expression can be written as:

(-2√2 - √2) + √(i)²(6)²

Taking the common term:

√2(-2 - 1) + 6i

Simplifying the expression:

-3√2 + 6i

Hence, the expression equivalent to (-√8 -√2) + √-36 is -3√2 + 6i.

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The document do you need to have on hand when preparing to file your tax return is W-2

A tax return is a form or forms filed with a tax authority that reports income, expenses, and other pertinent tax information.

To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year, but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.

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The expressions that are equal to the distance between point A and point B would be

| 3 | + | -2 |

| -3 - 2 |

3 - ( -2 )

| 3 - ( -2 ) |

What is a number line?

In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

In the given number line, the distance between point A and point B is 5.

Now we have to check each option

| 3 | + | -2 | = 3 + 2  = 5

| -2 + 3 | = | 1 | = 1

| -3 - 2 | = | -5 | =5

3 - ( -2 ) = 3+ 2 = 5

| 3 - ( -2 ) | = |3 + 2| = 5

Hence, the expressions that are equal to the distance between point A and point B would be

| 3 | + | -2 |

| -3 - 2 |

3 - ( -2 )

| 3 - ( -2 ) |

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