A​ single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5.

Answer:

P = 15h

I hope it helps.

Answer: 9.4 ounces.

Step-by-step explanation:

There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.

Answer:

he has 720 seconds left

This question is incomplete, the complete question is;

The owner of a small local bakery wants to determine how many fruit-filled pastries she should bake each day. Each pastry costs $.60 to make and sells for $1.00 each. Each pastry that is not sold at the end of the day is sold the next day for $.30 as day-old merchandise. She has determined that her average daily sales of this type of pastry are 193, with a daily standard deviation of 41. Flag this Question Question 114 pts

-What is the value of Co

-What is the value of Cu

Answer:

- the value of the cost overage Co is  $ 0.3

- the value of the cost shortage Cu is  $ 0.40

Step-by-step explanation:

Given that;

Revenue per unit R                         =       $ 1.00

Cost per Unit C                               =       $ 0.60

Salvage value per unit  S                =       $ 0.30

Mean Demand μ                              =          193

Standard Deviation of demand  σ  =          41

-To get the value of our cost overage Co;

we simply say

Co = Cost per Unit C - Salvage value per unit  S  

Co = 0.6 - 0.30 = 0.30

therefore the value of the cost overage Co is  $ 0.30

- To find the value of Cost Shortage Cu;

Cu = Revenue per unit R - Cost per Unit C

Cu = 1.00 - 0.60 = 0.40

therefore the value of the cost shortage Cu is  $ 0.40

9514 1404 393

Answer:

  24 cups

Step-by-step explanation:

One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...

  4 × 6 cups = 24 cups . . . combined

\(x7 - 2 \: or \: x \leqslant - 3\)

The end behavior of the graph of the polynomial function:

As x approaches ∞, y approaches -∞

As x approaches -∞, y approaches ∞

What is an end behavior?

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f.

Here, we have

f(x) = –x⁵ + 9x⁴ – 18x³

F(x) is a fifth-degree (odd function ) with a negative leading coefficient

If the exponent is odd and the leading coefficient is negative then the end behavior is

As x approaches ∞, y approaches -∞

As you go on the right, f(x) goes down

As x approaches -∞, y approaches ∞

As you go on the left, f(x) goes up.

Hence, the end behavior of the graph of the polynomial function: As x approaches ∞, y approaches -∞

As x approaches -∞, y approaches ∞

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Reason:

The domain is the set of allowed x inputs.

The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.

The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.

The arrow pointing to the left indicates that piece goes on forever in that direction.

Answer:

x < 7

Step-by-step explanation:

The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)

At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.

The domain of the function is :

Answer:

Step-by-step explanation:

d = r * t

Let the rate of the boat in still water = x

Let the rate of the stream = y

Against the current

24 = (x - y)* 4                Divide both sides by 4

24/4 = x - y

6 = x - y

With the current

24 = (x + y )* 3                Divide both sides by 3

24/3 = (x + y)

8 = x + y

Put the two equations together

x - y = 6

x + y = 8                           Add

2x = 14                              Divide by 2

2x/2 = 14/2

x = 7

x + y = 8

7 + y = 8

y = 8 - 7

y = 1

The boat is going 7 miles per hour

The stream is going 1 mile per hour.

Answer:

x = 8

Step-by-step explanation:

40 + 6x + 2 = 90   {Complementary angles}

Combine like terms

40+ 2 + 6x = 90

     42 +6x = 90         {Subtract 42 form both sides}

             6x = 90 - 42

             6x = 48       {divide both sides by 6}

        6x/6 = 48/6

             x = 8

Answer:

320 degrees

Step-by-step explanation:

240 degrees+80 degrees = 320 degrees

i hope this helps

Bearing is a topic that deals with angles and distance. Thus, the required answers to the given question are:

i. Distance of 1034.2 miles

ii. Bearing of \(158^{o}\)

The speed of an object is the rate of movement of the object with time.

speed = \(\frac{distance}{time}\)

So that:

distance = speed x time

i. In the given question; let the initial distance covered be represented by d, so that:

d = 250 x 2

  = 500 miles

ii. Let the second distance covered by the pilot be represented by D, so that:

D = 300 x 2

   = 600 miles

iii. Thus let the distance to the starting point be represented by x. From Cosine rule, we have:

\(c^{2}\) = \(a^{2}\) + \(b^{2}\) - 2abCos C

\(x^{2}\) = \(500^{2}\) + \(600^{2}\) - 2(500 x 600)Cos \(140^{o}\)

   = 250000 + 360000 - 600000(-0,7660)

   = 610000 + 459600

   = 1069600

x = \(\sqrt{1069600}\)

  = 1034.22

x = 1034.2 miles

Using the Sine rule to determine the required internal angle, we have:

\(\frac{a}{Sin A}\) = \(\frac{c}{Sin C}\)

\(\frac{500}{Sin A}\) = \(\frac{1034.22}{Sin 140}\)

Sin A = \(\frac{500*0.6428}{1034.22}\)

         = 0.3108

A = \(Sin^{-1}\) 0.3108

   = 18.11

A = \(18^{o}\)

To determine angle B, we have:

140 + 18 + B = 180 (sum of angles in a triangle)

158 + B = 180

B = 180 - 158

  = 22

B = \(22^{o}\)

Thus, the required bearing is 180 - 22 = 158

Therefore the distance and bearing required to fly to starting point are 1034.2 miles and \(158^{o}\) respectively.

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Step-by-step explanation:

=f³+11×g-4×h

=3³+11×2-4×7

=27+22-28

=21

is yr answer.

Answer:

\(90^{\circ}\). In other words, these two vectors are perpendicular (orthogonal) to one another.

Step-by-step explanation:

Let \(\|a\|\) and \(\|b\|\) denote the magnitudes of vector \(a\) and vector \(b\). The dot product between these two vectors is represented as \(a^{T}\, b\).  Let \(\theta\) denote the angle between the two vectors. The cosine of this angle would be equal to:

\(\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|}\end{aligned}\).

The dot product between vector \(a = \langle 1,\, 2\rangle\) and \(b = \langle 1,\, -1/2\rangle\) is:

\(\begin{aligned}a^{T}\, b &= {\begin{bmatrix}1 \\ 2\end{bmatrix}}^{T}\, \begin{bmatrix}1 \\ -1/2\end{bmatrix} \\ &= 1 \times 1 + 2 \times \left(-\frac{1}{2}\right) \\ &= 0\end{aligned}\).

The magnitudes of the two vectors are:

\(\begin{aligned}\| a \| &= \sqrt{1^{2} + 2^{2}} \\ &= 5\end{aligned}\).

\(\begin{aligned}\| b \| &= \sqrt{1^{2} + \left(-\frac{1}{2}\right)^{2}} \\ &= \frac{1}{2}\, \sqrt{5}\end{aligned}\).

Therefore:

\(\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|} \\ &= \frac{0}{5 \times (\sqrt{5} / 2)} \\ &= 0\end{aligned}\).

Among all angles between \(0^{\circ}\) and \(180^{\circ}\), the only angle with a cosine of \(0\) is \(90^{\circ}\). Therefore, the angle between vector \(a\) and vector \(b\) must be \(90^{\circ}\!\). Hence, these two vectors are perpendicular to one another.

The total surface area of the cube will be 37.5 cm²

Here the edge of the cube is given

Edge = 2.5 cm

We have to find out the total surface area of the cube

Total surface area of cube = 6a², where a is the edge of the cube

                                            = 6 × 2.5 × 2.5

                                            = 37.5 cm²

Hence, the total surface area of the cube will be 37.5 cm²

The complete question is,
Find the surface area of a cube of Edge 2.5 CM​

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Answer:

12*3.25=39

Step-by-step explanation:

u multiply 12 by 3.25 and then u get ure answer witch is 39!!

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

RST is not a right triangle.

A Triangle is a polygon with three sides , three angles and three vertices.

It is given in the question that

triangle RST with coordinates R(2, 3), S(4, 4), and T(5, 0)

It has to be determined that if the triangle is a right angled triangle ,

If we plot the triangle on the coordinate plane , it can be easily seen that the triangle is not a right angled triangle ,

It can also be proved by measuring the length of the sides that if the sum of the squares of the sides is equal to the square of the largest side , then it will be a right triangle or not .

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Answer:

10.8 meters

Step-by-step explanation:

1.2 times 9 minutes= 10.8

Answer:

10.8 meters

Step-by-step explanation:

9 * 1.2 = 10.8

Answer: If 34% of the mixed fruit juice is apple juice, then 66% of it is a combination of other fruit juices. We can assume that the ratio of apple juice to other fruit juices remains the same in the ice cream and mixed fruit juice mixture.

Let the volume of ice cream in each batch be 3x litres and the volume of mixed fruit juice be 2x litres. Then the total volume of mixture in each batch is 5x litres.

If 34% of the mixed fruit juice is apple juice, then the volume of apple juice in each batch is 0.34 × 2x = 0.68x litres. The volume of other fruit juices in each batch is 2x − 0.68x = 1.32x litres.

The ratio of ice cream to mixed fruit juice is 3 : 2, so we have:

3x : 2x = ice cream : mixed fruit juice

Simplifying, we get:

ice cream = 1.5 × mixed fruit juice

Substituting the values we obtained earlier, we have:

3x = 1.5 × 2x

x = 0.75

Therefore, the volume of ice cream in each batch is 3x = 2.25 litres, and the volume of mixed fruit juice is 2x = 1.5 litres.

To make 1.5 litres of mixed fruit juice, we need 0.68 litres of apple juice and 0.82 litres of other fruit juices.

To make 12.5 litres of smoothies, we need 2.25 litres of ice cream and 10.25 litres of mixed fruit juice. Of this, 0.68 litres is apple juice and 9.57 litres is other fruit juices.

Therefore, to make 12.5 litres of smoothies, we need 0.68/1.5 × 12.5 = 5.67 litres of apple juice.

To make 51 litres of apple juice, we can make a maximum of 51/5.67 ≈ 9 batches of smoothies.

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

Sven would type 2280 words every 40 minutes.

Step-by-step explanation:

Multiply 57 by 40 and that should get you 2280.

Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.

The probability that Ronnie gets a carrot and Sydney gets a green bean is 0.53.

Given that, q bucket contains the following vegetables 1 squash, 2 carrots, 4 heads of broccoli, 2 artichokes and 5 green beans.

Total number of vegetables = 1+2+4+2+5

= 14

The probability that Ronnie gets a carrot = 2/14

= 1/7

The probability that Sydney gets a green bean = 5/13

Here, the probability of a event = 1/7 + 5/13

= (13+35)/91

= 48/91

= 0.53

Therefore, the probability that Ronnie gets a carrot and Sydney gets a green bean is 0.53.

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Answer:

$13

Step-by-step explanation:

\(\$12.78 = \$13\)

Answer:$13

Step-by-step explanation:

.7 rounds to 1 if it is 5 or above it rounds up

Answer:

1 foot + 1/2 foot (6 in) + 2 brackets (3 in x 2) = 2 ft.

Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

The equation to find the number of leaves which Aidan has now, n is given by 8 × 12 - 7 = n.

In Mathematics, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Next, we would write the equation that gives n, the number of leaves Aidan would have after collecting leaves for an art project as follows:

The number of leaves that Aidan collected from 8 different trees is equal to 8 leaves. Additionally, Aidan picks 12 leaves from each tree to have a total of 96;

n = 8 × 12 = 96.

Lastly, Aidan lost 7 leaves on his way home. Therefore, we would subtract 7 leaves from the total number of leaves that Aidan collected from 8 different trees;

n = 96 - 7 = 89 leaves.

In conclusion, the complete equation is represented by 8 × 12 - 7 = n.

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The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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Answer:

7.1

Step-by-step explanation:

write pythagorean theorem \(x^{2}\) + \(x^{2}\) = \(10^2\)

2\(x^2\) = 100

divide 2 both side:

\(x^{2}\) = 50

\(\sqrt{x^2}\) = \(\sqrt{50}\)

\(x\) = \(\sqrt{50}\)

\(x\) = 7.07106781

round to nearest tenth:

\(x\) = 7.1

Answer:

2/9 of a foot in one month / 8/3 inches in one month

Step-by-step explanation:

Answer:

2/9 of a foot

Step-by-step explanation:

It grows 2/3 ft in 3 months

Therefore it grows in one month

2/3. / 3 = 2/3 × 1/3= 2/9 of a foot

Rate is the amount taken for one of a unit of measure, in this case, it is month.