molly is making small bags of sweets for a childrens party she buys seven big bags of sweets each bag contains 47 sweets. how many sweets does molly have?

she wants to give each child 20 sweets in their bag, how many full bags can she make

Required factors of the given expression is (7-10x) and (5x-4).

What is factor?

A number or algebraic expression that divides another number or expression evenly—that is, without a remainder is called factor. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression with only two factors (that is, itself and 1), is called a prime number; A positive integer or an algebraic expression that has more than two factors is called a complex number. The prime factors of a number or algebraic expression are those factors that are prime factors. According to the Fundamental Theorem of Arithmetic, any integer greater than 1 can be uniquely expressed as the product of its prime factors, except for the order in which the prime factors are written; for example, 60 can be written as a product of 2·2·3·5.

Given expression is

\(2(2x-1)^{2} + 2(3-6x)(4x-7) - 4 {x}^{2} + 1 - 6 {x}^{2} - 25x + 11\)

We are Simplifying,

2(2x-1)² + 2(3-6x)(4x-7) - 4x² + 1 - 6 x² - 25x + 11

= 2( 4x²-4x+1)+2(12x-21-24x²+42x)-4x²+1-6x²-25x+11

= 8x²-8x+2+24x-42-48x²+84x-4x²+1-6x²-25x+11

= -50x²+75x-28

= -(50x²-75x+28)

= -[50x²-(50+25)x+28]

= -1[5x(10x-7)-4(10x-7)]

= -(10x-7)(5x-4)

= (7-10x) (5x-4)

Required factors of the given expression are (7-10x) and (5x-4)

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Answer:

C

Step-by-step explanation:

Y=2(-1)+3

y=-2+3

y=1

true

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

Have a good day

Step-by-step explanation: and so have a good day

Answer:

50

Step-by-step explanation:

5^3÷(13-8)×2

Using the BODMAS rule

Bracket first

13-8=5

5^3=125

Followed by division

125÷5=25

Then back to the multiplication

25×2=50

Answer:

50

Step-by-step explanation:

Using order of operations:

Input Equation:

= 5^3/(13-8)*2.

= 5^3/(5)*2.

= 5^3/5*2.

= 125/5*2.

= 25*2.

= 50

Hence, 50 is the correct Answer.

[RevyBreeze]

The men with the most anger symptoms have a 111% higher risk of developing coronary heart disease compared to men with no anger symptoms.

To calculate the relative risk of heart disease for those with the most anger symptoms, we need to divide the proportion of men with heart disease in this group by the proportion of men with heart disease in the group with no anger symptoms.

The proportion of men with heart disease in the group with the most anger symptoms is 56/576 = 0.097. The proportion of men with heart disease in the group with no anger symptoms is

=> 9/197 = 0.046.

Therefore, the relative risk of heart disease for those with the most anger symptoms compared to those with no anger symptoms is

=> 0.097/0.046 = 2.11 (rounded to two decimal places).

To calculate the percentage increase in the risk of heart disease for those with the most anger symptoms, we need to subtract 1 from the relative risk and then multiply by 100.

The relative risk is 2.11, so the percentage increase in the risk of heart disease for those with the most anger symptoms is

=> (2.11-1) x 100 = 111% (rounded to the nearest whole number).

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Answer:

expressions written in numbers

Answer:

-7

Step-by-step explanation:

2(x+4)-3(x+4)-3=0

2x+8-3x-12-3=0

-x+8-15=0

-x-7=0

 +7  +7

-x=7

/-1  /-1

x=-7

--

hope it helps

Answer:

B and D buster

Step-by-step explanation:

Answer:

x = -1.4

Step-by-step explanation:

Isolate x on one side of the equation:

-2x - 3x = 16 - 9

-5x = 7

x = -7/5 = -1\(\frac{2}{5}\) = -1.4

Answer:

1.5<3-sqrt(2)<1.6

Step-by-step explanation:

Just do 3-1.4 and 3-1.5 and put the precise answer in the middle.

The height of the building is approximately 227 feet.

In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.

The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.

As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.

Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF

On substituting the values from the given data, we get:

AE/(EF + 5.5) = 7/5.5.... (1)

Similarly, we can write from the given data:

BD/DF = 162/5.5.... (2)

From equations (1) and (2), we can write:

AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)

On solving the above equation for AE, we get:

AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft

Therefore, the height of the building is approximately 227 feet.

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The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins,

how to solve probability

If the spinner has 12 equal parts and 2 of them are yellow, then the probability of the spinner landing on yellow is 2/12, or 1/6. This means that out of every 6 spins, we can expect the spinner to land on yellow once.

To find the best prediction for the number of times the spinner will land on yellow if it is spun 72 times, we can use the idea of expected value. The expected value of an event is the average value we would expect to see if the event were repeated many times.

In this case, the expected value of the number of times the spinner will land on yellow in 72 spins is simply the probability of landing on yellow multiplied by the number of spins:

Expected value = Probability of yellow x Number of spins

Expected value = (1/6) x 72

Expected value = 12

Therefore, the best prediction possible for the number of times the spinner will land on yellow if it is spun 72 times is 12. This means that out of 72 spins, we can expect the spinner to land on yellow approximately 12 times on average. However, it's important to remember that this is just a prediction based on probability, and the actual number of yellow spins may vary.

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The regression equation is y = 28.0 + 0.0510x.

The best predicted temperature at a time when the cricket chirps 3000 times in 1 minute, based on the regression equation is 181°F.

What is wrong with this predicted temperature: B. It is unrealistically high. The value 3000 is far outside of the range of observed values.

In this scenario, the chirps in 1 min would be plotted on the x-axis (x-coordinate) of the scatter plot while the temperature would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the chirps in 1 min and the temperature, a regression equation or an equation for the line of best fit is given by:

y = 28.0 + 0.0510x

When x = 3000, the temperature can be calculated as follows;

y = 28.0 + 0.0510(3000)

y = 181°F

In conclusion, a temperature of 181°F is unrealistically too high because a chirps of 3000 times in 1 min is an outlier.

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Answer:

Its 150

Step-by-step explanation:

9514 1404 393

Answer:

  your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

  5x = -15

Dividing by 5 gives the solution for x:

  x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

(a) The probability that the top card is an ace or a king is \($\frac{2}{13}\)

(b) The probability that the top card is spades and the second card is clubs is \($\frac{1}{2652}\)

(c) The probability that the top card is spades and the second card is an ace is \($ \frac{1}{663}\)

(d) The probability that the top 3 cards are all spades is \($\frac{1}{132600}\)

(e) The probability that the top 4 cards include 3 different ranks, with one rank appears twice is \($\frac{2}{925}\)

As per the data given:

A standard deck of 52 cards has 13 ranks (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) and 4 suits (spades, hearts, diamonds, and clubs), such that there is exactly one card for any given rank and suit.

a) The probability that the top card is an ace or a king:

The probability that the top card is an ace \($\frac{4}{52} = \frac{1}{13}\)

The probability that the top card is an king \($\frac{4}{52}=\frac{1}{13}\)

The probability that the top card is an ace or a king is \($\frac{1}{13} +\frac{1}{13} =\frac{2}{13}\).

b) The probability that the top card is spades is \($\frac{1}{52}\)

Already a card is drawn then the probability that the second card is clubs is \($\frac{1}{51}\)

The probability that the top card is spades and the second card is clubs is \($\frac{1}{52}\times\frac{1}{51} = \frac{1}{2652}\)

c) The probability that the top card is spades is \($\frac{1}{52}\)

Already a card s drawn then the probability that the second card is an ace is \($\frac{4}{51}\)

The probability that the top card is spades and the second card is an ace  is \($\frac{1}{52}\times\frac{4}{51} = \frac{4}{2652} = \frac{1}{663}\)

d) The probability that the top 3 cards are all spades is \($\frac{1}{52}\times\frac{1}{51}\times\frac{1}{50} = \frac{1}{132600}\)

e) There are C(52, 4) ways to choose 4 cards from the deck, and the 4 ways to choose the rank that appears twice.

So, the total number of ways to choose 4 cards with 3 different ranks and one rank appearing twice is 4 C(52, 4) = 4 × 270725.

The number of ways to choose the 4 cards such that they include 3 different ranks, with one rank appearing twice is 4  C(13, 2)  C(4, 2) = 672.

Hence, the probability is \($\frac{672}{270725} =\frac{2}{925}\)

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A standard deck of 52 cards has 13 ranks (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) and 4 suits (spades, hearts, diamonds, and clubs), such that there is exactly one card for any given rank and suit. The deck is randomly arranged. What is the probability that

(a) the top card is an ace or a king.

(b) the top card is spades and the second card is clubs.

(c) the top card is spades and the second card is an ace.

(d) the top 3 cards are all spades.

(e) the top 4 cards include 3 different ranks, with one rank appears twice (for example, an ace of hearts, a 3 of clubs, a 3 of hearts, and a 7 of spades).

The question "How many meters can the students in the swimming team swim?" is not a statistical question.

We have,

A statistical question typically involves collecting and analyzing data to understand patterns, trends, or relationships within a population or sample.

It focuses on gathering information about a group or population and drawing conclusions based on the data.

The question you asked is more of a factual or quantitative question about the swimming team, rather than a statistical inquiry.

It seeks a specific measurement or value rather than exploring variability or trends within a group.

Thus,

The question "How many meters can the students in the swimming team swim?" is not a statistical question.

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Answer:

The question is not complete, below is the complete question:

What is meant by the term 90% confident? when constructing a confidence interval for a mean?

a. If we took repeated samples, approximately 90% of the samples would produce the same confidence interval.

b. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the sample mean.

c. If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the true value of the population mean.

d. If we took repeated samples, the sample mean would equal the population mean in approximately 90% of the samples.

Answer:

The correct answer is:

If we took repeated samples, approximately 90% of the confidence intervals calculated from those samples would contain the true value of the population mean.  (c)

Step-by-step explanation:

a 90% confidence level means that if repeated samples were taken, 9 out of 10 times, the confidence intervals of the sample chosen will be close to the mean (true value), which is a true representation of the population parameter. when using confidence intervals, there are always margins of allowable accuracy, and this is suggested by using standard diviations snd variances.

I attached a simple document to this answer that will give you more insight into confidence intervals used in statistics.

Answer:

6*

Step-by-step explanation:

The time difference is 4 hours, (since 8am +4 = 12pm), and the temperature change is 6* because -2*+6*=4*.

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

6 m

Step-by-step explanation:

36 m^2 = bh/2

36·2 = bh/2·2

72 = bh

72 = 12·6

check

36 m^2 = 12·6/2

36 = 36

:)

Answer:

I hope dis helps

Step-by-step explanation:

Simplify  

           x2 + 5x + 4

Trying to factor by splitting the middle term

1.1     Factoring  x2 - x - 2

The first term is,  x2  its coefficient is  1 .

The middle term is,  -x  its coefficient is  -1 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   1 • -2 = -2

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   -1 .

     -2    +    1    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  1

                    x2 - 2x + 1x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-2)

            Which is the desired factorization

Trying to factor by splitting the middle term

1.2     Factoring  x2+5x+4

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +4

Step-1 : Multiply the coefficient of the first term by the constant   1 • 4 = 4

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is   5 .

     -4    +    -1    =    -5

     -2    +    -2    =    -4

     -1    +    -4    =    -5

     1    +    4    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  4

                    x2 + 1x + 4x + 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+1)

             Add up the last 2 terms, pulling out common factors :

                   4 • (x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+4)  •  (x+1)

            Which is the desired factorization

Canceling Out :

1.3    Cancel out  (x+1)  which appears on both sides of the fraction line.

Final result :

 x - 2

 —————

 x + 4