Sofia has $20, and Daniel has 150% as much money as Sofia. )
How much money does Daniel have? )
Sofia
100% = $20
Daniel
100% = $20
50%
Daniel has $ 1

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Hello there & welcome to Brainly!

You are solving for the variable, k. Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other.

First, distribute -12 to all terms within the parenthesis:

-12(k + 4) =

-12 * k = -12k

-12 * 4 = -48

-12k - 48 = 60

Isolate the variable, k. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equal:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 48 to both sides of the equation:

-12k - 48 (+48) = 60 (+48)

-12k = 60 + 48

-12k = 108

Next, divide -12 from both sides of the equation:

(-12k)/-12 = (108)/-12

k = 108/-12

k = -9

k = -9 is your answer.

~

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

Answer: number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Step-by-step explanation:

To write the number name and expanded form for the number of driver ants that could be in two colonies.

Given: Up to 22,000,000 driver of ants can live in a single colony

Since 1, 000, 000 =1 million

So 22,000,000= 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

Hence, number name = 22 million

Expanded form: 22,000,000 = 20,000,000+2,000,000

The correct answer is b. sampling distribution of .

The probability distribution of all possible values of the sample proportion is known as the sampling distribution of the sample proportion. It represents the distribution of sample proportions that we would expect to see from repeated sampling of the same population.

The sampling distribution of the sample proportion is derived from the population proportion and follows specific properties based on the sample size and the characteristics of the population. It provides information about the variability and characteristics of sample proportions.

It is important to note that the sampling distribution of the sample proportion is not the same as the probability density function (PDF) or the cumulative distribution function (CDF). The PDF describes the probability distribution of a continuous random variable, whereas the sampling distribution of the sample proportion deals with the distribution of a sample statistic (in this case, the sample proportion) based on repeated sampling.

Therefore, the correct answer is b. sampling distribution of .

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The manager must sell 30 computers at a selling price of approximately $710 per computer.

To determine how many computers need to be sold and at what price, let's break down the given information:

The store manager buys several computers of the same model for $12,780.

The store can regain this investment by selling all but 6 of the computers.

The profit per computer is $355.

First, let's calculate the total cost of the computers by subtracting the profit from the initial investment:

Total Cost = Initial Investment - Profit

Total Cost = $12,780 - ($355 × 6)

Total Cost = $12,780 - $2,130

Total Cost = $10,650

Now, let's calculate the number of computers that need to be sold to recover the investment:

Number of Computers to be Sold = Total Cost / Profit per Computer

Number of Computers to be Sold = $10,650 / $355

Number of Computers to be Sold ≈ 30

Therefore, the store manager needs to sell 30 computers to recover the investment.

Next, let's determine the selling price for each computer:

Selling Price per Computer = Cost per Computer + Profit per Computer

Selling Price per Computer = $10,650 / (30 - 6) + $355

Selling Price per Computer ≈ $355 + $355

Selling Price per Computer ≈ $710

Hence, to recover the investment, the manager must sell 30 computers at a selling price of approximately $710 per computer.

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Answer:

-4

Step-by-step explanation:

=> -|-12+20-5-7|

=> -|-4|

=> -4

Answer:

20 boxes

Step-by-step explanation:

12 boxes is 15 feet so 4 boxes is 5 feet

\(c(g) = 7g + 52 \\ c(0) = 52\)

\(g(x) = x {}^{2} - 7x + 12 \\ g(x) = 0 \\ x = 3 \: \: \: \: \: \: \: \: x = 4\)

Let's see

#1

So

x intercepts

True

#2

Option C

#3

Option D

#4

I solved it in your another question , Can't add that answer here due to copyright restrictions

Answer:

x = \(\frac{19}{12}\)     y = \((-\frac{9}{4} )\)   z = \(\frac{8}{3}\)    One solution for each variable.

Step-by-step explanation:

5x + y − z = 6

x + y + z = 2

12x + 4y = 10

The first thing we need to do is solve for x in the 3rd equation because it inly have 2 variables, x and y.

12x + 4y = 10   Subtract 4y from each side

12x + 4y - 4y = 10 - 4y

12x = 10 - 4y    Pull 2 out on the right side

12x = 2(5 - 2y)    Divide each side by 12

12x/12 = 2(5 - 2y)/12

x = 2(5 - 2y)/12

x = (5 - 2y)/6

Now we plug in our x value into the 2nd equation and solve for z

x + y + z = 2

\(\frac{5-2y}{6}\) + y + z = 2    Multiply each side by 6

6(\(\frac{5-2y}{6}\) + y + z) = 2 * 6

6(\(\frac{5-2y}{6}\) + y + z) = 12

5 - 2y + 6y + 6z = 12  Combine like terms

5 + 4y + 6z = 12   Subtract 5 from each side

5 - 5 + 4y + 6z = 12 - 5

4y + 6z = 7    Subtract 4y from each side

4y - 4y + 6z = 7 - 4y

6z = 7 - 4y  Divide each side by 6

6z/6 =  (7 - 4y)/6

z =  (7 - 4y)/6

Now we solved for z and x, so in the 1st equation we plug in x and z.

5x + y − z = 6

5(\(\frac{5-2y}{6}\)) + y - \(\frac{7-4y}{6}\) = 6     Multiply each side by 6

6*(5(\(\frac{5-2y}{6}\)) ) + 6y - 6(\(\frac{7-4y}{6}\)) = 6*6

6*(5(\(\frac{5-2y}{6}\)) ) + 6y - 6(\(\frac{7-4y}{6}\)) = 36

5(5 - 2y) + 6y - 7 - 4y = 36

25 - 10y + 6y - 7 - 4y = 36  Rearrange to make it easier to combine terms.

25 - 7 - 10y + 6y - 4y = 36

18 - 8y = 36   Subtract 18 from each side.

18 - 18 - 8y = 36 - 18

- 8y = 36 - 18

- 8y = 18  Divide each side by -8

- 8y/-8 = 18/- 8

y = 18/- 8

y = - 9/4

Now we plug our answer for y back into the 3rd equation and solve for the value of x.

12x + 4y = 10

12x + 4\((-\frac{9}{4} )\) = 10

12x - 9 = 10  Add 9 to each side

12x - 9 + 9 = 10 + 9

12x = 10 + 9

12x = 19 Divide each side by 12

12x/12 = 19/12

x = 19/12

Now we have a value for x and y so plug these into the 2nd equation to sovle for z.

x + y + z = 2

\(\frac{19}{12}\) + \((-\frac{9}{4} )\) + z = 2      We need to find the common denominator in order to add.

\((-\frac{9}{4} )\) * \(\frac{3}{3}\) = \(-\frac{27}{12}\)

\(\frac{19}{12}\) \(-\frac{27}{12}\) + z = 2

\(-\frac{8}{12}\) + z = 2   Add \(-\frac{8}{12}\) to each side

\(-\frac{8}{12}\)  \(+ \frac{8}{12}\) + z = 2 \(+ \frac{8}{12}\)

z =  2 \(+ \frac{8}{12}\)       Reduce   \(+ \frac{8}{12}\)  to \(\frac{2}{3}\)

z = 2 + \(\frac{2}{3}\)    To add find a common denominator.

\(2 * \frac{3}{3} = \frac{6}{3}\)

z = \(\frac{6}{3}\) + \(\frac{2}{3}\)

z = \(\frac{8}{3}\)

So there is 1 solution for each variable.

Answer:

a = -0.5

Step-by-step explanation:

\( \rm Solve \: for \: a: \\ \rm \longrightarrow - \dfrac{1}{4}a - 4 = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: - \dfrac{1}{4}a - 4 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm - \dfrac{a}{4} - 4 = - \dfrac{a}{4} - \dfrac{16}{4} : \\ \rm \longrightarrow - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm - \dfrac{a}{4} - \dfrac{16}{4} = \dfrac{ - a - 16}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7}{4}a - 3 \\ \\ \rm Put \: each \: term \: in \: \dfrac{7}{4}a - 3 \: over \: the \\ \rm common \: denominator \: 4: \\ \rm \dfrac{7a}{4} - 3 = \dfrac{7a}{4} - \dfrac{12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a}{4} - \dfrac{12}{4} \\ \\ \rm \dfrac{7a}{4} - \dfrac{12}{4} = \frac{7a - 12}{4} : \\ \rm \longrightarrow \dfrac{ - a - 16}{4} = \dfrac{7a - 12}{4} \\ \\ \rm Multiply \: both \: sides \: by \: 4: \\ \rm \longrightarrow \dfrac{ - a - 16}{ \cancel{4}} \times \cancel{4}= \dfrac{7a - 12}{ \cancel{4}} \times \cancel{4} \\ \\ \rm \longrightarrow -a - 16 = 7 a - 12 \\ \\ \rm Subtract \: 7 a \: from \: both \: sides: \\ \rm \longrightarrow (-a - 7 a) - 16 = (7 a - 7 a) - 12 \\ \\ \rm -a - 7 a = -8 a: \\ \rm \longrightarrow -8 a - 16 = (7 a - 7 a) - 12 \\ \\ \rm 7 a - 7 a = 0: \\ \rm \longrightarrow -8 a - 16 = -12 \\ \\ \rm Add \: 16 \: to \: both \: sides: \\ \rm \longrightarrow (16 - 16) - 8 a = 16 - 12 \\ \\ \rm 16 - 16 = 0: \\ \rm \longrightarrow -8 a = 16 - 12 \\ \\ \rm 16 - 12 = 4: \\ \rm \longrightarrow -8 a = 4 \\ \\ \rm Divide \: both \: sides \: of \: -8 a = 4 \: by \: -8: \\ \rm \longrightarrow

\dfrac{ - 8a}{ - 8} = \dfrac{4}{ - 8} \\ \\ \rm \dfrac{ - 8}{ - 8} = 1: \\ \rm \longrightarrow a = - \dfrac{4}{ 8} \\ \\ \rm - \dfrac{4}{ 8} = - \dfrac{1}{2} : \\ \rm \longrightarrow a = - \dfrac{1}{2} \\ \\ \rm \longrightarrow a = - 0.5\)

Answer:

x=4

Step-by-step explanation:

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a) EDCB is a trapezoid because it has one pair of parallel sides.

b) Whether EDCB is isosceles or not cannot be determined without additional information.

a) A trapezoid is a quadrilateral with one pair of parallel sides. Looking at the given shape EDCB, if we can establish that one pair of its sides is parallel, then it can be classified as a trapezoid. However, the information provided does not specify the relationships between the sides of EDCB. Without additional details, we cannot definitively confirm if EDCB is a trapezoid or not.

b) The question of whether EDCB is isosceles cannot be answered based on the given information alone. Isosceles trapezoids have two pairs of congruent sides, with the base angles opposite the parallel sides being congruent. The information provided does not mention the lengths of the sides or angles of EDCB, so we cannot determine if it is isosceles or not.

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Answer:

D. im answering for the purpose of the first person getting brainliest

Step-by-step explanation:

Answer:

Step-by-step explanation:

Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides

The formula for the perimeter of a kite = 2(a + b)

Where a and b where the side length of the kite

Answer:

1555.61 birrs

Step-by-step explanation:

Perform this operation:

83.5 liters      18.63 birr

---------------- * ----------------- = 1555.61 birrs             This was the total amount

         1               1 liter                                              of the bill.

Answer:

1,555.605

Step-by-step explanation:

per liter is 18.63 and the driver got 83.5 liters

the bill is 18.63 × 83.5 = 1,555.605 if you are asked to approximate

it will give you 1,556

Answer:

25x=500 or x=20

Step-by-step explanation:

Well Rebecca have 500 fidget spinners so you put that  on one end and let x be the number of teachers if you have 25 fidget spinners per teacher you need to multiply 25 by the number of teachers or x to find out so the eqaution will look like this: 25x=500

If you want to simplify you divide by 25 into both sides which are 20

Hope this helps!

Answer:

x=20

Step-by-step explanation:

For each x intercept the corresponding factor can be deduced. For x intercepts given at 1,2,3 , the equation can be written as

y= (x-1) (x-2) (x-3)

Because x=1 therefore x-1=0 , similarly x=2 , x-2=0 and , x=3 , x-3=0

or

y= x²+2x-3 (x-3)

or

y= x³+2x²-3x-3x²-6x+9

y= x³-x²-9x+9

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543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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a) Sample mean is arithmetic average of data values. The sample mean of provide data values is 10.

b) The five-number summary of the sample is minimum = 4, Q1 = 4.5, median = 9 , Q3 = 15.5 and maximum= 16.

The population mean is denoted by greek letter, μ and sample mean is a random variable; which is written as x-bar and x-bar stands for individual values it takes. The sample mean is a statistic measure obtained by calculating the arithmetic mean of sample values ( values of variable in sample). The sample mean formula is: x-bar = ( Σxᵢ) / n

Now, we have to calculate sample mean of following data values, 12,8,15,16,5,4.

Sum of values, Σ xi = 12 + 8 + 15 + 5 + 4 + 16 = 60

Number of values = 6

So, Sample mean, = ( Σ xi ) / n = 60/6 = 10

The five-number summary includes following :

So, Steps to determine the five-number summary:

Now, the sample set is 12,8,15,16,5,4. Arrange the data values in ascending order, 4,5,6,12,15,16. So, Minimum value

= 4 , Maximum value = 16 ,Median = mean of 6 and 12 = (6 + 12)/2 = 9. The vales written as(4, 5, ) 6, 12, (15, 16 ). The value of first quartile, Q₁ = median of lower ( 4,5) = (4+5)/2

= 9/2 = 4.5. Similarly, Third quartile, Q₃

= (15+16)/2= 31/2 = 15.5. Thus, the five-numer summary is minimum = 4, Q₁

= 4.5, median = 9 , Q₃ = 15.5 and

maximum = 16.

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Complete question:

Consider the sample set 12,8,15,16,5,4 and answer the below questions:

(a)[2 pts] what is the notation of the sample mean? find the sample mean.

(b)[3 pts] find the five-number summary of the sample.

Answer:

where is the question

Step-by-step explanation:

Answer:

1+1=2

2+2=4

Step-by-step explanation:

The value of the expression 585-187 is 398

The difference expression is given as:

585 - 187

The first step has already been given as:

187 - 2 = 185

For the next step, we have:

585 - ___ = 400

When the above equation is completed, we have:

585 - 185 = 400

Recall that the first step is to subtract 2 from 187.

So, the next step would be:

400 - 2 = 398

Hence, the value of the expression 585-187 is 398

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With a large, representative sample, the histogram of the sample data will follow the normal curve closely. The normal curve, also known as the bell curve or Gaussian distribution, is a symmetrical probability distribution that is characterized by its shape.

It is often used to model natural phenomena and is widely applicable in various fields, including statistics, physics, and social sciences.

When we say that the histogram of the sample data will follow the normal curve closely, it means that the distribution of values in the sample will resemble the shape of the normal curve. This is because the normal curve represents the most common pattern of distribution for many variables in the real world.

A large sample size is important because it allows for more precise estimation of the underlying population distribution. As the sample size increases, the histogram of the sample data becomes smoother and closer to the shape of the normal curve.

This is known as the central limit theorem, which states that the distribution of the sample means tends to be normal regardless of the shape of the population distribution, as long as the sample size is sufficiently large.

Moreover, a representative sample is crucial because it ensures that the sample is a fair representation of the entire population.

A representative sample is obtained by randomly selecting individuals or objects from the population, without any bias. This helps to reduce the possibility of obtaining skewed results that do not accurately reflect the population.

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Option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2. This can be obtained by using Quotient of Power Property.

Here in this question it is given that,

⇒ (3^-6)/(3^-4)

By using the Quotient of Power Property, we can find the simplified value of the expression.

Since the bases are equal we can subtract the exponents of the numbers.

Here the common base is 3 and -6 and -4 are the exponents of the numbers.

Now by subtracting the exponents we get,

⇒ (3^-6)/(3^-4)

= 3^ [-6 - (-4)]

= 3 ^ [-6 + 4]

= 3 ^ -2

Hence option 4 is the correct option. Keep the base the same and then subtract the exponents. The simplified value of the expression is 3 ^ -2.

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: Describe how to simplify the expression (3^-6)/(3^-4).

Option 1: Divide the bases and then add the exponents.

Option 2: Keep the base the same and then add the exponents.

Option 3: Multiply the bases and then subtract the exponents.

Option 4: Keep the base the same and then subtract the exponents.

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Answer: A.

\(H_0:p=0.12\\\\H_a:p<0.12\)

Step-by-step explanation:

Null hypothesis\((H_0)\) : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.  

Alternative hypothesis \((H_a)\): A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.

Let p be the proportion of screens that will be rejected.

12 percent of the screens manufactured using a previous process were rejected at the final inspection.

(i.e. p= 0.12)

Objective of the study = whether the new process reduces the population proportion of screens that will be rejected

i.e. p< 0.12

So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:

\(H_0:p=0.12\\\\H_a:p<0.12\)

Answer:

9.1 meters or 910 centimeters

Step-by-step explanation:

10.5 meters = 1050 centimeters

1050 - 140 = 910 centimeters

Answer: Yes

Step-by-step explanation:

[4] is the same as 4.

For |-4|

Short Explanation

The absolute value is the distance between a number and zero. The distance between -4 and 0 is 4 so the result of |-4| is 4

Long Explanation

The absolute value or modulus of a real number, denoted, is the non-negative value of without regard to its sign. Namely, if is positive, and if is negative, and. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero.

Using the order of operations, the expression can be simplified as  

9 + 1.34 + 62.88 = 73.22

The order of operations instructs us on how to solve steps in multi-step expressions. Any operations contained within parenthesis or brackets are first solved. After that, we handle any exponents. Third, we perform all division and multiplication operations from left to right. Fourth, all addition and subtraction problems are solved from left to right.

Remember PEMDAS when simplifying multi-step expressions, i.e.:

P (Parentheses)

E (Exponents, Powers and Square Roots)

MD (Multiplication and Division, left-to-right)

AS (Addition and Subtraction, left-to-right)

The expression given in the problem is:  9 + 1.34 + 1 2 (3.50 +1.74)

Apply the above operation order:

Step 1: solve the addition inside the parenthesis

9 + 1.34 + 1 2 (3.50 +1.74)  =  9 + 1.34 + 1 2 (5.24)

Step 2: Multiply the result by 12

9 + 1.34 + 1 2 (5.24) = 9 + 1.34 + 62.88

Step 3: Apply addition from left to right

9 + 1.34 + 62.88 = 73.22

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The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.

The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.

The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.

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Answer:

0.67  cents

Step-by-step explanation:

Answer:

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