3.1 × 10^-4 in standard form

Answer:

Graph A only, because the area under the curve equals 1, and the curve is above the horizontal axis.

Answer: There are 198 different combinations.

Step-by-step explanation:

To solve this type of problem, first, we need to identify the selections.

We have 3 selections.

Baby doll, Jigsaw puzzle, and a stuffed dog.

Now, we need to count the numbers of options for each case:

Baby doll: 11 options.

Jigsaw Puzzle: 6 options.

Stuffed dog: 3 options.

To find the total number of different combinations, we need to multiply all the numbers of options together, this is:

Combinations = 11*6*3 = 198

There are 198 different combinations.

The productivity of the truck in bank measure is most nearly 32.3 (option C).

To calculate the productivity of the truck in bank measure, we need to convert the loose density to bank density. Bank measure refers to the volume of material when it is compacted or in its natural state, while loose measure refers to the volume of material when it is loose or not compacted.

The formula to convert loose density to bank density is as follows:

Bank Density = Loose Density / (1 + Moisture Content)

Since the moisture content is not provided in the question, we assume it to be zero for simplicity. Therefore, the bank density is equal to the loose density.

Next, we need to calculate the truck's productivity in bank measure. The formula for productivity is:

Productivity = Truck Capacity / Cycle Time

However, the truck capacity and cycle time are not provided in the question. Therefore, we cannot directly calculate the productivity.

Given that we have the specifications of the truck's density, we can make an estimation based on industry standards. A common truck capacity for earth hauling is around 20 cubic yards. The cycle time can vary depending on factors such as loading and dumping time, travel distance, and road conditions. For estimation purposes, let's assume a cycle time of 30 minutes (0.5 hours).

Using these values, we can calculate the productivity as follows:

Productivity = Truck Capacity / Cycle Time

Productivity = 20 / 0.5

Productivity = 40 cubic yards per hour

However, the productivity is measured in bank measure (yd³/hr), so we need to adjust the result based on the bank density.

Adjusted Productivity = Productivity * (Loose Density / Bank Density)

Adjusted Productivity = 40 * (100 / 110)

Adjusted Productivity ≈ 32.3 cubic yards per hour (bank measure)

Therefore, the productivity of the truck in bank measure is most nearly 32.3 (option C).

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Answer:

50%

Step-by-step explanation:

Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.

Answer: 50%

Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.

Answer:

Reciprocal

Multiplicative inverse

Additive inverse

Answer:

The possible range of the length of side LM is 8 < x < 26 ⇒ A

Step-by-step explanation:

In any triangle:

In the given figure

∵ LMN is a triangle

∵ LM = x, MN = 9, NL = 17

→ Find the sum of the lengths of MN and NL

∴ The sum of the lengths of MN and NL = 9 + 17 = 26

→ Find the difference between the lengths of MN and NL

∴ The difference between the lengths of MN and NL = 17 - 9 = 8

→ By using the rules above, x should be between 8 and 26

∴ 8 < x < 26

∴ The possible range of the length of side LM is 8 < x < 26

Answer:

x=11/4

Step-by-step explanation:

2x-7/4=x+3/3

2x-7/4=x+1

-x         -x

x-7/4=1

 +7/4  +7/4

x=11/4

Answer:

It is a tetrahedron.

Answer:

Step-by-step explanation:

\( \frac{3y - z}{y + 5z} \)

To find the value of the expression when

y = 6 and when z = 2 , substitute the values into the above formula and solve.

That's

\( \frac{3(6) - 2}{6 + 5(2)} \\ = \frac{18 - 2}{6 + 10} \\ \frac{16}{16} \)

We have the final answer as

Hope this helps you

Answer:

\(\Huge \boxed{1}\)

Step-by-step explanation:

\(\displaystyle \frac{3y-z}{y+5z}\)

Let y = 6 and z = 2.

\(\Rightarrow \displaystyle \frac{3(6)-2}{6+5(2)}\)

Evaluate the expression.

\(\Rightarrow \displaystyle \frac{18-2}{6+10}\)

\(\Rightarrow \displaystyle \frac{16}{16}\)

\(\Rightarrow 1\)

The value of the expression when y = 6 and z = 2 is 1.

The amount of hats and scarves are illustrations of linear equations

The number of children is 6

The given parameters are:

Hat = $9

Scarve = $5.50

So, we have the following equation

Total = c * (2h + 3s)

The total amount spent is $207.

So, we have:

c * (2h + 3s) = 207

Substitute values for c and h

c * (2*9 + 3*5.5) = 207

This gives

c *34.5 = 207

Divide both sides by 34.5

c = 6

Hence, the number of children is 6

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Answer:

X24

Step-by-step explanation:

Answer:

521 plus 521 is equal to 10000

The first term (a) of the arithmetic sequence is 45, and the common difference (d) is 7.

To determine the first term (a) and the common difference (d) of an arithmetic sequence, we can use the following formulas:

a + (n-1)d = nth term

where a is the first term, d is the common difference, and n is the position of the term in the sequence.

We have that the 5th term is 73 and the 15th term is 143, we can set up the following equations:

a + 4d = 73   (1)

a + 14d = 143  (2)

To solve this system of equations, we can subtract equation (1) from equation (2):

(a + 14d) - (a + 4d) = 143 - 73

10d = 70

d = 7

Substituting the value of d into equation (1), we can solve for a:

a + 4(7) = 73

a + 28 = 73

a = 73 - 28

a = 45

Therefore, the first term (a) of the arithmetic sequence is 45 and the common difference (d) is 7.

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Answer:

"6a = 9"
"x × y = 9"

→ Variables can also be factors in the instance that they are multiplied by a number or another variable.

The semimajor axis of Halley's Comet's orbit is approximately 17.91 AU. To find the semimajor axis of Halley's Comet's orbit, we can use Kepler's third law, which relates the orbital period (T) and the semimajor axis (a) of an object in an elliptical orbit:

T^2 = 4π^2a^3/GM,

where T is the orbital period, G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2), and M is the mass of the central body (in this case, the Sun).

First, we need to convert the orbital period from years to seconds:

T = 76 years = 76 × 365.25 days × 24 hours × 60 minutes × 60 seconds = 2.399 × 10^9 seconds.

Next, we can rearrange the equation to solve for the semimajor axis (a):

a = (T^2 * GM / (4π^2))^(1/3).

The mass of the Sun, M, is approximately 1.989 × 10^30 kg.

Plugging in the values, we have:

a = (2.399 × 10^9 seconds)^2 * (6.67430 × 10^-11 m^3 kg^-1 s^-2) * (1.989 × 10^30 kg) / (4π^2)^(1/3).

Calculating this expression, we find:

a ≈ 17.91 astronomical units (AU).

Therefore, the semimajor axis of Halley's Comet's orbit is approximately 17.91 AU.

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Answer:

sorry, but there is nothing to answer here :(

Step-by-step explanation:

Answer:

in abc, M???

Step-by-step explanation:

There are 10,000 probability codes if the four digits can be repeated, as each digit has 10 possible options (0-9). This ensures that customers have a secure and safe way to access their storage containers.

In the event that the four numbers can be repeated, there are 10,000 potential codes. This is because there are 10 potential values for each digit (0-9). If you multiply all the possible options of each number you get 10x10x10x10 which equals 10,000. This means there are 10,000 possible combinations of four digits when the numbers can be repeated. For example, 0000, 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999 and all their different combinations with the numbers 0-9 in between them. With this many choices, it can be hard to remember your specific code. However, it also means that there is a low risk of someone else guessing your code. The Store-It-All storage facility is ensuring that their customers have a secure and safe way to access their storage containers.

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Answer:

the b-value is the growth or decay factor.

Step-by-step explanation:

The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

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Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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Answer:

x = 1

Step-by-step explanation:

\(0.3x+1.7=2\\\\0.3x+1.7-1.7=2-1.7\\\\0.3x=0.3\\\\\frac{0.3x=0.3}{0.3}\\\\\boxed{x=1}\)

Hope this helps.

Answer:b,c

Step-by-step explanation:i got it correct

Answer:

Gianna washes 15 cars in 5 hours

Step-by-step explanation:

6 cars = 2 hours

? cars = 5 hours

Cross Multiply:

6(5) = 2x

30 = 2x

x = 15

The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.

A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.

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Approximately 102 people out of the randomly selected group of 2150 would have an IQ less than 75.To

To calculate this, we need to find the z-score for an IQ of 75 and then use a standard normal distribution table or a calculator to determine the corresponding probability. The z-score is calculated as:

z = (x - μ) / σ,

where x is the IQ score, μ is the mean, and σ is the standard deviation.

Substituting the given values:

z = (75 - 100) / 15

z = -25 / 15

z ≈ -1.67.

Based on the standard normal distribution table, the area/probability to the left of -1.67 is approximately 0.0475.

To find the number of people out of the randomly selected group of 2150, we multiply the probability by the total number of people:

Number of people = Probability * Total number of people

Number of people ≈ 0.0475 * 2150

Rounding the result to the nearest whole number:

Number of people ≈ 102

Therefore, to the nearest whole number, approximately 102 people out of the randomly selected group of 2150 would have an IQ less than 75.

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In the  expression written below. the value of equation x  is known to be x=10/c.

From the question, we were given: 3(cx-7)=9

Therefore, we have to simply it to  make x the subject of the formula (to look for x)

Hence: 3(cx-7)=9

=(cx-7)=3

=cx=10  

x=10/c

Therefore, In the  expression written below. the value of equation x  is known to be x=10/c.

See full question below

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Solve the following equation for x, and express its value in terms of c. 3(cx-7)=9

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Answer:

b = -9

Step-by-step explanation:

-7b - 4(b + 7) = -3b - 4(b -2)

First we want to distribute the coefficients across the parentheses. To do so, we multiply the coefficient by every term within the parentheses.

-7b - 4(b + 7) = -3b - 4(b - 2)

-4 • b = -4b

-4 • 7 = -28

-4 • b = -4b

-4  • -2 = 8

Simplify the expression with these new values.

-7b - 4b - 28 = -3b - 4b + 8

Now we want to combine the like terms. First combine the variables.

-7b - 4b - 28 = -3b - 4b + 8

-11b - 28 = -7b + 8

Combine further by adding 7b to both sides.

-4b - 28 = 8

Combine the constants by adding 28 to both sides.

-4b = 36

Isolate b by dividing both sides by -4.

b = -9

This is your answer.

Check your answer by plugging b = -9 back into the original equation.

-7b - 4(b + 7) = -3b - 4(b - 2)

-7(-9) - 4(-9 + 7) = -3(-9) - 4((-9) - 2)

63 - 4(-2) = 27 - 4(-11)

63 + 8 = 27 + 44

71 = 71

Your answer is correct.

Hope this helps!

Answer:

-9 is the required answer of b

Step-by-step explanation:

-7b - 4(b + 7) = -3b - 4(b-2)

open bracket

-7b-4b-28=-3b-4b+8

-11b-28=-7b+8

-11b+7b=28+8

-4b=36

b=36/-4=-9

Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

The correct interpretation of the P-value is that it is larger than the significance level, which means we fail to reject the null hypothesis. There are a couple of mistakes in this statement.

First, the P-value should be compared to the significance level (α), not the population proportion (p). In this scenario, the significance level is 0.01, so we compare the P-value of 0.0287 to 0.01.

Second, the statement implies that the null hypothesis was that the population proportion is equal to 0.15, but it doesn't actually specify what the null hypothesis was. In fact, the null hypothesis would have been that the true population proportion is equal to or greater than 0.15, and the alternative hypothesis would have been that it is less than 0.15.

So, the correct interpretation of the P-value is that it is larger than the significance level, which means we fail to reject the null hypothesis. We do not have evidence against the null hypothesis, and therefore we cannot conclude that the claimed value of 15% is too high based on this sample.

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