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The product of 0.105 and 1000.2000 has three significant digits.

The answer is D. 3.

To determine the number of significant digits in the product of 0.105 and 1000.2000, we need to consider the rules for significant figures in multiplication.

In multiplication, the result should have the same number of significant digits as the measurement with the fewest significant digits. Let's analyze the given numbers:

0.105 has three significant digits (leading zeros are not significant).

1000.2000 has eight significant digits.

When multiplying these numbers, the product is 105.02100. The measurement with the fewest significant digits is 0.105 with three significant digits. Therefore, the product should also have three significant digits to maintain accuracy and precision.

Hence, the answer is D. 3. The product of 0.105 and 1000.2000 has three significant digits. It's important to consider significant figures in calculations to ensure the appropriate level of precision and avoid introducing misleading or inaccurate information.

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Answer:

30%

Step-by-step explanation:

18 divided by 60

Answer:

b

Step-by-step explanation:

Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Answer:

Step-by-step explanation

You start by knowing that a triangle has 180 degrees in total and this is a right triangle so your total needs to add up to 90. Using the formula 90 subtract 45 then divided by 4+1 and there is your smaller angle.

Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

the correct length of the frame is 17 inches.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees. Area of rectangle is A = a*b

Based on the information given, it should be noted that the diagonal will be the longest side. Therefore, we'll use the Pythagoras theorem to solve the question.

This will be:

d² = 15² + 8²

d² = 225 + 64

d² = 289

d = ✓289

d = 17

Therefore, the correct option is 17 inches.

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Answer 1 1/4

Step-by-step explanation:

You can get this by finding 3/4 on the line plot and counting the x's. Then you must add the 3 x's which means 3 of 3/4 and sum is your answer. Be sure to change improper to proper fraction. 9/4 to 1 1/4.

Answer:

C

Step-by-step explanation:

We want to integrate:

\(\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx\)

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

\(u=4x^5+15x+2\)

By differentiating both sides with respect to x:

\(\displaystyle \frac{du}{dx}=20x^4+15\)

We can "multiply" both sides by dx:

\(du=20x^4+15\,dx\)

And divide both sides by 5:

\(\displaystyle \frac{1}{5}\, du=4x^4+3\,dx\)

Rewriting our original integral yields:

\(\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)\)

Substitute:

\(\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)\)

Simplify:

\(\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du\)

This is a common integral:

\(\displaystyle =\frac{1}{5}\ln|u|\)

Back-substitute. Of course, we need the constant of integration:

\(\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C\)

Our answer is C.

The graph provided will be a linear graph with the function being y= 2x +4.

Since the x-intercept is -2 and the y-intercept is 4, we can plot the points (-2, 0) and (0, 4) on the graph.

The function is increasing for all values of x, which means the graph will have a positive slope. Let's assume a slope of 2, for example.

Using the slope-intercept form of a linear equation (y = mx + b), we can write the equation of the line:

y = 2x + 4

Now when the value of x is 1 the value of y will be :

y= 2*1+4

y= 6

For x = 2, y is:

y=8

For  x= 3 y is:

y=10.

Thus we can see that the function will provide us with a linear graph with the points being (1,6), (2,8), (3,10).

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Answer:

Answers are below!

Step-by-step explanation:

(2 + g) (8)

= (2 + g) (8)

Add a 8 after the 2, and flip.

= (2)(8) + (g)(8)

= 16 + 8g

= 8g + 16

= (4) (8 + -5g)

Add another 4, then flip.

= (4) (8) + (4) (-5g)

= 32 − 20g

= - 20g + 32

−7 (5-n)

= (−7) (5 + -n)

Add another 7, then flip.

= (−7) (5) + (-7) (-n)

= −35 + 7n

= 7n - 35

Use the distributive property.

a (b + c) = ab + ac

a = 8

b = 2m

c = 1

= 8 × 2m + 8 × 1

Simplify, you get 16m + 8.

Use the distributive property.

a (b + c) = ab + ac

a = 6x

b = y

c = z

= 6xy - 6xz is the answer.

\(\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac\)

\(a=-3,\:b=2b,\:c=2a\)

\(=-3\cdot \:2b+\left(-3\right)\cdot \:2a\)

Apply minus plus rules.

\(=-3\cdot \:2b+\left(-3\right)\cdot \:2a\)

Multiply the numbers.

3 x 2 = 6

Answer:

9. -35+7n

10. 16m+8

11. 6xy-6xz

Step-by-step explanation:

You multiplying the terms inside the ( ) by the outside factor.

This is call distributive property, a(b+c)=ab+ac.

Also, a(b+c)=(b+c)a by commutative property.

It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.

Anyhow, let's look at 9.,10., and 11..

9.

-7(5-n)

(-7)(5-n)

(-7)(5)-(-7)(n)

-35+7n

10.

8(2m+1)

(8)(2m)+(8)(1)

16m+8

11.

6x(y-z)

(6x)(y-z)

(6x)(y)-(6x)(z)

6xy-6xz

Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).

If you want comment below, if you want me to check any of yours or if you have any questions.

The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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Answer:

C

Step-by-step explanation:

\( \sf {a}^{c} \times {a}^{b} = {a}^{b + c} \\ \sf = {8}^{11} \times {8}^{x} \\ \sf = {8}^{11 + x} (c)\)

Answer:

5/6

Step-by-step explanation

Answer: 1

Step-by-step explanation: 45/50=90/100 which is closer to 1 than 1/2 or 0.

Answer:

Y =4X  -3

Step-by-step explanation:

x1 y1  x2 y2

1 1  -2 -11

(Y2-Y1) (-11)-(1)=   -12  ΔY -12

(X2-X1) (-2)-(1)=    -3  ΔX -3

slope= 4          

B= -3          

Y =4X  -3    

Answer:

y=4x-3

Step-by-step explanation:

Hi there!

We are given the points (1,1) and (-2, -11) and we want to write the equation of the line in slop-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

So let's find the slope of the line

The formula for the slope calculated from two points is \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to calculate the slope, let's just label the points to avoid confusion

\(x_1=1\\y_1=1\\x_2=-2\\y_2=-11\)

Now substitute those values into the formula

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-11-1}{-2-1}\)

Subtract

m=\(\frac{-12}{-3}\)

Divide

m=4

So the slope of the line is 4

Here is the equation of the line so far:

y=4x+b

We need to find b

As the equation passes through both (1,1) and (-2, -11), we can plug either one of them into the equation to solve for b

Taking (1,1) will give us this:

1=4(1)+b

Multiply

1=4+b

Subtract 4 from both sides

-3=b

Substitute -3 as b into the equation

y=4x-3

Hope this helps!

The graph of f(x) =\(2^{x}\)  is an increasing function, meaning that as x increases, the value of f(x) also increases.

Graph is a data structure that consists of nodes (vertices) and edges. A graph is used to represent relationships between objects, such as a network of roads or a social network. Graphs can be directed (with arrows going in one direction) or undirected (with no direction). Graphs can be weighted (with values assigned to edges) or unweighted (without values). Graphs are used in many areas, including computer science, mathematics, machine learning, and engineering.

The graph of f(x) =\(2^{x}\)  is a exponential graph that has a vertical asymptote of y = 0 and a horizontal asymptote of x = infinity. Its graph is shown in the figure below:

(Graph of f(x) = \(2^{x}\))

The graph of f(x) = \(2^{x}\) is an increasing function, meaning that as x increases, the value of f(x) also increases. As x approaches negative infinity, the value of f(x) approaches 0. As x approaches positive infinity, the value of f(x) approaches infinity.

The domain of f(x) = \(2^{x}\) is the set of all real numbers, and the range of this function is the set of all positive real numbers. The graph of this function has no local minima or maxima, and it is continuous everywhere.

This graph is useful in many areas of mathematics, such as calculus, probability, and statistics. It is also used in physics and engineering to model exponential growth and decay.

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Answer:

3

Step-by-step explanation:

Lower quartile (xL): 13.5

Upper quartile (xU): 18.5

Interquartile range (xU-xL): 3

Thanks!

Answer:

3 is the interquartile range.

To find interquartile range:

Here:

using the formula:

→ 18 - 15

→ 3

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.14

×

10

1

Step-by-step explanation:

The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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Answer:

180

Step-by-step explanation:

O : G  : Total

5  : 4  : 9

9u->405

1u->45

4u->180

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

Answer:

p=143.2-1.2b

Step-by-step explanation:

Subtract 3b; 2.5p=358-3b

divide by 2.5; 143.2-1.2b

Answer: I think that if it is not 214 than you should just guess and see if that is the correct answer

Step-by-step explanation:

Answer:

a) 0.2318

b) 0.2609

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of broilers weigh between 1150 and 1308 grams?

For 1150 grams

z = 1150 - 1387/192

= -1.23438

Probability value from Z-Table:

P(x = 1150) = 0.10853

For 1308 grams

z = 1308 - 1387/192

= -0.41146

Probability value from Z-Table:

P(x = 1308) = 0.34037

Proportion of broilers weigh between 1150 and 1308 grams is:

P(x = 1308) - P(x = 1150)

0.34037 - 0.10853

= 0.23184

≈ 0.2318

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

1510 - 1387/192

= 0.64063

Probabilty value from Z-Table:

P(x<1510) = 0.73912

P(x>1510) = 1 - P(x<1510) = 0.26088

≈ 0.2609

(c) Is it unusual for a broiler to weigh more than 1610 grams?

1610- 1387/192

= 1.16146

Probability value from Z-Table:

P(x<1610) = 0.87727

P(x>1610) = 1 - P(x<1610) = 0.12273

≈ 0.1227

No it is not unusual for a broiler to weigh more than 1610 grams

Answer: $15,000

Step-by-step explanation:

Given the following :

Percentage earned as commission = 20% of profit.

What is Graydon’s gross pay for the month.

Sales for the month = $350,000

Profit on sales for the month = $75,000

Graydon’s earning is 20% of the profit made :

Hence, Graydon's gross pay for the month :

20% of $75,000

= 0.2 × $75,000

= $15,000

Graydon’s gross pay for the month is $15,000

ANSWER:

A. the solution set is:

A. The solution set is 0.010

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for x:

The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.

This can be calculated using a rule of three as follows. Let's start with the yellow fish:

53 = 65

x    = 100

53 x 100 / 65 = 82 yellow fish

Green fish:

12 = 65

x = 100

12 x 100 / 65= 18 green fish

This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.

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