How long does it take to travel 557km at a rate of 31 km/hr? Round to the nearest hour.

Answer:

10.97%

Step-by-step explanation:

There are 52 cards.

13 of them, are hearts.

Then

52 - 13 = 39 cards are not hearts.

4 cards are drawn, we want to find the percent chance that the fourth card is a heart card, but no before.

So the first card can't be a heart card.

because the deck is well-shuffled, all the cards have the same probability of being drawn.

Then the probability of not getting a heart card, is equal to the quotient between the number of non-heart cards (39) and the total number of cards (52), then the probability is:

p₁ = 39/52

The second card also can't be a heart card, the probability is calculated in the same way than above, but now there are 38 non-heart cards and a total of 51 cards (because one card was already drawn) then the probability here is:

p₂ = 38/51

For the third card the reasoning is similar to the two above cases, here the probability is:

p₃ = 37/50

The fourth card should be a hearts card, the probability is computed in the same way than above, as the quotient between the number of heart cards in the deck (13) and the total number of cards in the deck (now there are 49 cards)

then the probability is:

p₄ = 13/49

The joint probability (the probability of these 4 events happening together) is equal to the product between the individual probabilities:

P = p₁*p₂*p₃*p₄

P = (39/52)*(38/51)*(37/50)*(13/49) = 0.1097

The percent chance is the above number times 100%

Percent =  0.1097*100% = 10.97%

Answer:

y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.

I hope this helps

The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.

The correct answer is option B.

To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:

\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)

where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.

Given function: f(x) = \(x^3 - x^2 - 1\)

Step 1: Find the derivative of f(x)

f'(x) = \(3x^2 - 2x\)

Step 2: Initialize the starting value

\(x_0\)= 1

Step 3: Calculate \(x_1\)

\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)

\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)

\(x_1 = x_0 - f(x_0) / f'(x_0)\)

   = 1 - (-1) / 1

   = 2

Step 4: Calculate \(x_2\)

\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)

\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)

\(x_2 = x_1 - f(x_1) / f'(x_1)\)

   = 2 - 3 / 8

   = 1.625

Step 5: Repeat the process until we reach \(x_5\)

Performing the calculations for \(x_3, x_4, andx_5\), we find:

\(x_3\) ≈ 1.465

\(x_4\) ≈ 1.466

\(x_5\)≈ 1.466

After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.

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There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answer:

\(f(x)=-(x+3)^2\)

Step-by-step explanation:

The parent function is f(x) = x^2.

The green function is moved 3 units to the left. This means that the function changes like this:

The green function is also reflected over the x-axis.

Functions that are reflected over the x-axis take are multiplied by an exterior negative (literally, a negative on the outside)

So, we put a negative on the outside.

\((x+3)^2\) --> \(-(x+3)^2\)

The function isn't moved up or downwards, so we don't have to add or subtract anything on the outside.

The function is also not stretched or shrunk.

So, the equation of the green function is:

\(f(x)=-(x+3)^2\)

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

Oh i solved this before.

Step-by-step explanation:

The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.

How to find Revenue?

The amount of gross income generated by sales of goods or services is referred to as revenue (or sales revenue) in various contexts. Revenue can be calculated simply by multiplying the quantity of sales by the average service price or sales price:

Revenue = Sales x Average Price of Service or Sales Price

To find the projected revenue for the year ended December 31, Year 2, we can use the following formula:

Projected revenue = Current revenue * (1 + Expected revenue growth)

In this case, the current revenue is equal to the NOA, which is $3,532.1 million. The expected revenue growth is 5%, so the projected revenue is:

$3,532.1 million * (1 + 0.05) = $3,673.4 million

Therefore, The projected revenue for the year ended December 31, Year 2 is $3,673.4 million.

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A $2,000 bicycle depreciates at a rate of 10% per year.

After how many years will it be worth less than $1,000?

o 5 years

o 7 years

o 10 years

o 100 years

we know that

the equation that represent this problem is equal to

where

y -----> the value of the bici

a=2,000

r=0.10

substitute

For y=1,000

greater than 6.57 years

answer is 7 years

There is a significant difference in the mean cost to drive 25 miles between hybrid cars and hybrid trucks and between hybrid SUVs and hybrid trucks.

Here we first need to test the hypotheses for differences to do the Scheffe and Tukey test

The sample mean and variance for:-

Hybrid Cars = 1.89 , 0.29

Hybrid SUVs = 2.22 , 0.02

Hybrid trucks = 3.53 , 0.02

Hence the total mean will be

(2.10+2.70+1.67+⋯+3.62+3.4)/12

= 2.301

Hence we generate the following Hypotheses

Let H₀be the hypotheses that the means obtained are equal i.e,

H₀ : μ₁ = μ₂ = μ₃.

Let

H₁ : At least one of the means differs from the other means

Here we can see that the number of samples is 12 and we have 3 groups of data,

hence N = 12 and k = 3

hence we get degrees of freedom as

d.f.N = k - 1

= 2

d.f.D = N - k

= 9

Hence to get the critical value we need to look up the F distribution with a significance level of 0.05 and a fraction of 2/9

hence critical value is 4.26

To calculate the between-group variance we use the formula

(∑n(sample mean - total mean)²)/(k-1)

= [5(1.89−2.301)² +5(2.22−2.301)² + 2(3.53−2.301)²]/2

= 1.95

The within-group variance will be

0.14

Hence the test statistic

F = between group variance/within group variance

= 1.95/0.14

= 13.93

Now, the critical value of F is less than the test value

Therefore, the value of the test statistic is in the rejection region

Hence the null Hypotheses H₀ is rejected

Hence there is a difference in the mean cost to drive 2525 miles for different types of hybrid vehicles which are concluded by sufficient evidence.

The critical value for the Scheffe test

F' = critical value X (k - 1)

= 4.26 X 2

= 8.52

​For Hybrid Cars vs Hybrid SUVs, we have the Scheffe test as

F1 = (sample mean of cars - sample mean of SUVs)²/(withing group variance(1/n + 1/n))

= 1.945

Since F' > F1

the difference between the mean of Hybrid cars and SUVs is insignificant

Similarly, for SUVs and Truck, we get

F2 = 17.51

Here F'<F2

Hence the difference in the mean is significant

and for Cars and Trucks

F3 = 27.44

F1<F3

the difference is significant

Hence,

The evidence is enough to conclude a significant difference in mean cost to drive 25 miles between hybrid cars and hybrid trucks and between hybrid SUVs and hybrid trucks.

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Answer:

the height between the table and the ceiling is 10 feet

Step-by-step explanation:

just subtract the 12.5 (height of the floor to ceiling) by 2.5 (height of the table)

The range of the function, f(x)=4x+2 for the domain {–2, –1, 1, 4} includes (-6, -2, 6, 18).

The range of the function,  f(x)=4x+2, includes all the possible output values of the function.

The domain of a function,  f(x)=4x+2, is the set of all possible input values (domain {–2, –1, 1, 4}) of the function.

Remember that a function is a mathematical expression that equates an independent variable with a dependent variable.

f(x)=4x+2

Domain =  {–2, –1, 1, 4}

The range for -2:

f(x)=4x+2 = 4(–2) + 2 = -6

Range for -1:

f(x)=4x+2 = 4(–1) + 2 = -2

Range for 1:

f(x)=4x+2 = 4(1) + 2 = 6

The range for 4:

f(x)=4x+2 = 4(4) + 2 = 18

Thus, the range of the function, f(x)=4x+2 for the domain {–2, –1, 1, 4} includes (-6, -2, 6, 18).

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Answer:

\(4\frac{19}{36}\)

Step-by-step explanation:

In order to add fractions, the bottom number (denominator) must be the same. We must find a common denominator between the three fractions. For these numbers, that appears to be 36

for the first number, we see that we must multiply the fraction by 12 (36 divided by 3 (denominator) is 12)

\(1\frac{2}{3}ft= \frac{5}{3}= \frac{60}{36}\)

For the second number we must multiply the fraction by 9 (36 divided by 4 (denominator) is 9)

\(\frac{3}{4}=\frac{27}{36}\)

For the final number we must multiply the fraction by 4 (36 divided by 9 (denominator) is 4)

\(2\frac{1}{9}ft= \frac{19}{9} =\frac{76}{36}\)

Now that the fractions share a denominator we can add them

\(\frac{60}{36} +\frac{27}{36}+\frac{76}{36}=\frac{163}{36}\)

If we make this fraction mixed we must first divide 163/36 to find the whole number. which is 4. To find the remaining fraction we must take 36*4 and subtract that from 163. We find that the left over is 19

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I just got done withe the test and k12

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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Answer:

-D

Step-by-step explanation:

Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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The average number of students who are afraid of spiders and snakes is 15. (Option C).

To calculate the average number of students who are afraid of spiders and snakes, you need to add the number of students afraid of spiders and the number of students afraid of snakes, and then divide by 2 (since there are two categories being considered: spiders and snakes).

Average = (Number of students afraid of spiders + Number of students afraid of snakes) / 2

Given the information:

Number of students afraid of spiders = 18

Number of students afraid of snakes = a little more than 11 (let's consider 12 for calculation)

Average = (18 + 12) / 2 = 30 / 2 = 15

So, the average number of students who are afraid of spiders and snakes is 15.

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Answer:

3/5

Step-by-step explanation:

He slices the bread into ten peices so its 10/10. 4 gets taken away, so 6/10 is left then you simplify it down to 3/5.

Here, we just need to add x and y and subtract it from 180.

x + y = 91 + 42 = 133.

180 - 133 = 47.

Hence, z = 47 degrees.

Answer:

Step-by-step explanation:

straight line = 180° we remove the angles x and y and find z

180 - 91 - 42 =

47°

The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

y= -2

X= 7

\(using \: elimination \: method \\ x + 3y = 1 \\ - 3x - 3y = - 15 \\ add \: the \: two \: equations \\ - 2x = - 14 \\ divide \: both \: sides \: by \: 2 \\ x = 7 \\ replace \: x \: with \: 7 \: to \: find \: value \: of \: y \\ (7) + 3y = 1 \\ y = - 2\)

Answer:

X    |   y

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

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7