Ericka is selling baked goods. She sells x cookies for $0.70
each and also sells one cake for $14.50. She makes a total
of $36.90. Write and solve an equation to determine how
many cookies she sold.

Answer:

98 = 2 * 7 * 7 (ascending order)

Step-by-step explanation:

The values 2 and 7 are both prime numbers as they only have two factors: themselves and 1

2*1 = 2

7*1 = 7

Since the question is asking write 98 as the product of prime numbers, the values 2,7,7 would make sense as they all are prime numbers and when multiplied together gives 98

The probability that the three pieces can be assembled into a triangle is 25%

Let the length of the stick be 1, so each break can occur at a position in the interval [0,1]. Let x and y be the two breaks in the stick. Then the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is the probability of the triangle.

If y>x, then the lengths of the pieces are x, y-x, and 1-y.

The triangle inequality must hold for each combination of edges.

for  y>x ...

x+y−x≥1−y

x+1−y≥y−x

y−x+1−y≥x

these simplify to...

for  y>x ...

y≥1/2

x+1/2≥y

x≤1/2

If we cut our 1x1 square into two triangles along the line x=y,

then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.

The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.

This region takes up 25% of the square,

Thus, the probability that the three pieces can be assembled into a triangle is 25%

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Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

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Answer: Y=3

Step-by-step explanation: Trust me it's correct.

If we perform 6 trials with a 50% chance of success, we would expect to get exactly 5 successes in about 9.4% of the trials.

The probability of getting exactly 5 p events with n = 6 and p = 0.50 can be calculated using the binomial probability formula:

P(X = 5) = (6 choose 5) * 0.50^5 * 0.50^1 = 0.09375

where "6 choose 5" is the number of ways to choose 5 events out of 6.

So the probability of getting exactly 5 p events is 0.09375, or approximately 9.4%.

This means that if we perform 6 trials with a 50% chance of success, we would expect to get exactly 5 successes in about 9.4% of the trials.

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Answer:

41

Step-by-step explanation:

FG = EH ( being opposite sides of parallelogram)

3z + 8 = 5z - 14

5z - 3z = 8 + 14

2z = 22

z = 11

Now

FG = 3z + 8 = 3 *11 + 8 = 33 + 8 = 41

Hope it will help :)❤

Answer:

5

Step-by-step explanation:

29 plus 16 is 45 and 45 divided into 9 is 5

Find the value of the expression

Use the BODMAS rule. Add the terms inside the bracket first.

Now, multiply the terms in the denominator.

Now, divide 300 by 50 gives the required answer.

So, the required answer is 6.

If the tax rate at this restaurant is 9. 5% and some other person’s sales tax is $5. 69 then their subtotal is $65.58

Here, some other person’s sales tax is $5. 69

Consider that for the amount of 'p' dollars, the sales tax is 9. 5% is $5. 69

Here, the tax rate at this restaurant is 9.5%

This means, 9.5 percent of m dollars is $5. 69

Using percentage formula,

m × (9.5 / 100) = 5. 69

m × 9.5 = 5. 69× 100

m × 9.5 = 569

m = 59.89 dollars

So, their subtotal would be,

m + sales tax

= 59.89 + 5. 69

= 65.58 dollars

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The probability of meeting a pupil who is a boy is 0.80

From the question, the given parameters are:

Population = 600

Girls = 120

Start by calculating the number of boys

This is represented as

Boys = Population - Girls

So, we have

Boys = 600 - 120

Evaluate

Boys = 480

The probability of a meeting a boy is then calculated as

P = Boys/Population

So, we have

P = 480/600

Evaluate

P = 0.80

Hence, the probability of a boy is 0.80

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It will take the pump 80 minutes to fill the tank completely.

We can find the time to fill the tank by subtracting the current amount of the tank (3/8 of its capacity) from its total capacity. Then, dividing that amount by the flow rate of the pump (which is 1/16 of its capacity per minute).

The calculation is given as:

Remaining amount to fill = Total capacity - Current amount = 1 - 3/8 = 5/8

Time to fill completely = Remaining amount ÷ Flow rate = 5/8 ÷ (1/16) = 80 minutes

So, it will take the pump 80 minutes to fill the tank completely.

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____ The given question is incorrect, the correct question is given below:

If a pump fills a tank in 16 minutes and the tank currently has 3/8 of its capacity, then we can calculate how many minutes it will take to fill the tank completely.

Answer: a. H0: σ = 0.25mg H1: σ ≠ 0.25mgb. Since the test statistic is less than the critical value, we fail to reject the null hypothesis.

Part (a) The null hypothesis is that the tar content of filtered 100-mm cigarettes has a standard deviation of 0.25mg. The alternative hypothesis is that the tar content of filtered 100-mm cigarettes does not have a standard deviation of 0.25mg. Thus, the null and alternative hypotheses are given as follows:

H0: σ = 0.25mg H1: σ ≠ 0.25mg

Part (b) Since the alternative hypothesis includes a non-equal sign, it is a two-tailed test. Since the significance level is given as 0.01, the level of significance for each tail of the test is 0.005. Thus, the rejection region is on either tail. That is, if the test statistic falls within either tail, then the null hypothesis will be rejected. Thus, the rejection region is given as follows:

Rejection region: z > z0.005 or z < -z0.005

Part (c) Since the sample standard deviation is used to estimate the population standard deviation, the appropriate test statistic is a chi-square test statistic. Since it is a two-tailed test, we are only interested in the right tail. Therefore, the chi-square test statistic is given as follows:

χ2 = (n - 1)S2/σ2 = (28 - 1)0.182/0.252 = 6.66

Part (d) The critical chi-square value for a right-tailed test with 27 degrees of freedom and a significance level of 0.01 is given as 42.98. Since the test statistic is less than the critical value, we fail to reject the null hypothesis. Therefore, there is not enough evidence to conclude that the tar content of filtered 100-mm cigarettes has a standard deviation different from 0.25mg.

Answer: a. H0: σ = 0.25mg H1: σ ≠ 0.25mgb.

Rejection region: z > z0.005 or z < -z0.005c. χ2 = (n - 1)S2/σ2 = (28 - 1)0.182/0.252 = 6.66

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Answer:

3:4.

my reasoning is because of there 3 butterscotch chip brownies,

and 4 chocolate chips. this gives the ratio 3:4, usually you can tell ratio by what numbers come first

Answer:

Range is the answer you get when you subtract the lowest number in a set of numbers from the highest number in the same set.

Step-by-step explanation:

Example

What is the range of 2,6,10,5,7 and 9

lowest number=2

highest number=10

range=10-2

range=8

Answer:

Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range.

Step-by-step explanation:

Answer:Mr. Jacob purchased 7 adult tickets at $7.50 each, and 4 child tickets at $5.00 each, for a total of 11 tickets at a cost of $65.

Step-by-step explanation:

The missing quantity is 100 books in the double number line.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

Let the missing quantity be x in the double number line.

According to the given condition, we can write the proportion would be as:

40 books : 2 boxes = x books : 5 boxes

⇒ 40 / 2 = x / 5

Apply the cross-multiplication operation,

⇒ 40 × 5 = 2x

⇒ 2x = 200

⇒ x = 200/2

⇒ x = 100

Therefore, the missing quantity is 100 books in the double number line.

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First you calculate the area of the square, which is 82=64, then you calculate the area of a circle using the formula r2, which gives you 201.06;

you then divide this number by four because you only need the quarter, giving you 50.26. The two regions are added together in the final step, yielding the result

64+50.26=114.2.

All of those points are equally distant from a single point known as the circle's centre, and a circle is a geometric object that follows their paths.

The formula for a quarter circle's area using radius

The area of a circle, A, is equal to r2 if its radius is r.

The size of a quarter circle is then equal to times of A

= ¼ × πr2 = πr2/4

\(114.2cm^{2}\)

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if i was in your point of veiw i wilm go for a

Answer:

36 yards = 1,296 inches.

Answer:

r = 1/2(s -t/x)

Step-by-step explanation:

Here, we simply want to make r the subject of the formula;

We proceed as follows;

s = 2r + t/x

s - t/x = 2r

Divide both sides by 2

r = 1/2(s - t/x)

the answer is

92,380.98

Answer:

9,2380.98

Step-by-step explanation:

 92345

+00035.98

According to the given statement the overall time required for the flocculation is approximately 10.67 minutes.

To calculate the overall time required for the flocculation step, we need to use the formula:.

Overall Time = Total Volume / Flow Rate

First, we need to find the total volume of the two parallel flocculation basins.

Total Volume = Length x Width x Depth x Number of Basins

Since there are two basins, the length of each basin is 12 m.

The width is 4 m, and the water depth is also 4 m.

Total Volume = (12 m + 12 m) x 4 m x 4 m = 192 m³

Next, we need to convert the flow rate from m³/s to m³/min.

Flow Rate = 0.3 m³/s x 60 s/min = 18 m³/min

Finally, we can calculate the overall time by dividing the total volume by the flow rate.

Overall Time = Total Volume / Flow Rate = 192 m³ / 18 m³/min ≈ 10.67 min

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The overall time required for the flocculation step in this plant is approximately 10.67 minutes. This means it takes approximately 10.67 minutes for the water to pass through the two parallel flocculation basins.

To calculate the overall time required for the flocculation step, we need to consider the hydraulic detention time in the flocculation basins. The hydraulic detention time is the average time it takes for water to pass through the flocculation basins.

First, let's calculate the volume of water that can be held in the basins:
Volume = length × width × depth = 12 m × 4 m × 4 m = 192 m³

Since the plant treats 0.3 m³/s, we can calculate the hydraulic detention time:
Hydraulic Detention Time = Volume / Flow Rate = 192 m³ / 0.3 m³/s = 640 s

Now, let's convert this time to minutes:
Overall Time = Hydraulic Detention Time / 60 = 640 s / 60 = 10.67 min (rounded to two decimal places)

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Answer:

23. No Kele is not because the nearest answer is 1620 the eleven sided figure

Step-by-step explanation:

When explaining binomial and Poisson probability distributions to a 6-year-old child, it is essential to use a simple and relatable way that they can understand easily.

Here is a long answer to your question:Binomial probability distributionA binomial probability distribution is a discrete probability distribution that describes the outcomes of a fixed number of independent trials with two possible outcomes: success or failure. When you toss a coin, for example, you have a 50/50 chance of either getting a head or tail. This is an example of a binomial probability distribution.

The easiest way to explain binomial probability distribution to a 6-year-old child is to use an analogy of flipping a coin. You could say that flipping a coin is a game of chance, and you can either get heads or tails. If you flip a coin once, there is a 50/50 chance of getting heads or tails. But if you flip the coin twice, the probability of getting two heads is 25%, and the probability of getting two tails is also 25%.Poisson probability distributionA Poisson probability distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed interval of time or space. It is used to model rare events that occur independently at random points in time or space. For example, the number of cars that pass through a toll plaza in a day or the number of accidents that occur at an intersection in a month is an example of Poisson probability distribution.To explain Poisson probability distribution to a 6-year-old child, you can use an example of counting the number of cars that pass through a toll plaza in a day. You could say that there are some days when there are more cars, and some days when there are fewer cars. But, on average, there are a fixed number of cars that pass through the toll plaza every day.

The Poisson probability distribution helps us to estimate the average number of cars that pass through the toll plaza every day and how much the traffic varies from day to day.

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Answer:

23, 50, 64

Step-by-step explanation:

137 = 23 + 50 + 64

Let the first number be x

Second number: 2x+4

Third number: 3x-5

Write the equation:

x + (2x + 4) + (3x-5) = 137

Solve for "x"

6x - 1 = 137

6x = 138

x = 23

Plug x (23) into the equation:

x + (2x + 4) + (3x-5) = 137

23 + 2(23) + 4 + 3(23) - 5 = 137

(23 + 46 + 4 + 69) - 5 = 137

142 - 5 = 137

Answer:

3 percent 7 fractio n okokkok

Step-by-step explanation:

(8*4):2 + 4=

32:2+4=

16+4=20

Answer:

N<-7 or (-∞,-7) hope this helps

The scale factor was used for each dilation are-

A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.

A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.

Part a: For ΔABC

Length AB = 2 units

Length A'B' = 4 units

A'B' = 2 *AB

Thus,  For ΔABC - scale factor = 2

Part b: For ΔDEF -

Length DF = 2 units

Length D'F' = 1  units

D'F' = 1/2 DF

Thus, For ΔDEF - scale factor = 1/2

Part c: For ΔGHJ -

Length GH = 3 units

Length G'H' = 1  units

G'H' = 1/3 GH

Thus,  For ΔGHJ - scale factor = 1/3

Part d: For ΔKML -

Length KM = 2 units

Length K'M' = 6  units

K'M' = 3*KM

Thus, For ΔKML - scale factor = 3

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