how many eight digit numbers contain the digit 2 once, the digit 3 twice, and the digit 4 thrice. leading 0s are allowed. (

Answer:

bag B

Step-by-step explanation:

bag A: 5R and 2G

bag B: 7R and 3G

Bag A probability for green is 2/7

bag B probability for green is 3/10

if we convert the fractions to have a common denominator:

bag A: 20/70

bag B: 21/70

so bag B has the greater probability of drawing a green marble

Answer:

10 cats were at the shelter on wednesday

Step-by-step explanation:

Answer:

Solution given:

The opposite of -1.5 is 1.5

note:

Just multiply by - or change its sigh .

Given: A line passing through points (1,-13) and (-10,31).

Required: To determine the y-intercept of the line.

Explanation: The slope of the line is given by the formula-

Substituting the values and further solving as follows-

Thus the equation of the line is-

To get the y-intercept, substitute x=0 as follows-

Final Answer: Option F is correct.

Answer:

$48.66

Step-by-step explanation:

$45.99 x 1.058 = 48.65742

Answer:-3

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis so in this case it is -3.

Answer:

Fermi estimates generally work because the estimations of the individual terms are often close to correct, and overestimates and underestimates help cancel each other out.

Step-by-step explanation:

12 ÷ 5/8

12 x 8/5

(12 • 8)/5

96/5

Done!

Answer:

use test numbers to find where the function is a positive and where it is negative. sketch the function's graph, plotting additional points as guides as negative. choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.

Account balance of Ginny after withdrawal = $ 20 .

Given : Ginny's account balance before withdrawal ie . $ 40

            Her withdrawal amount ie . $ 20

To find : account balance after withdrawal

Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .

After withdrawal ( taking out ) of $ 20 ,

Ginny has 40 - 20 = $ 20 left .

After adjustment , final amount = $ 20 .

Therefore , account balance of Ginny after withdrawal = $ 20 .

To learn more on word problems follow link :

https://brainly.com/question/21405634

#SPJ9

Answer:

21,120 feet

Step-by-step explanation:

1 yard is = 3 feet so you multiply 3 by 7,040

Which is 21,120

Answer: 21,120

Hope this helps!

Answer:

2(x-4)

Step-by-step explanation:

it's the only thing i could think of, or its one

Answer:

Jillian's earnings at the end of the week

Answer:

-1 / 0 + -1 and the list goes on

Step-by-step explanation:

Answer: You have the correct answer. It's choice B

Domain = \(\left(-\infty, \frac{2}{5}\right)\)

Nice work.

=========================================================

Explanation:

The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.

\(2-5x \ge 0\\\\2 \ge 5x\\\\5x \le 2\\\\x \le \frac{2}{5}\)

So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.

However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.

In short, the domain as an inequality is \(x < \frac{2}{5}\), which is the same as saying \(-\infty < x < \frac{2}{5}\) and that converts to the interval notation \(\left(-\infty, \frac{2}{5}\right)\)

We don't use a square bracket because we don't want to include the endpoint 2/5.

The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.

1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)

= 7/3 + 85/16 + 2/7

=  665/48.

2. \(9\frac{5}{9} - 3\frac{2}{5}\)

= 86/9 - 17/5

= 259/45.

3. \(16\frac{3}{7} *13\frac{1}{4}\)

= 115/7 * 53/4

= 6095 / 28

4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)

= 67/4 ÷ 5/2

= 67/10

Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.

To know more about mixed fraction visit:

brainly.com/question/29264210

#SPJ1

3 days.

\(\frac{log0.10}{log0.5} = 3.32\) half-lives.

So, A's half-life is \(\frac{33}{3.32} = 9.94\).

B's half-life is \(\frac{43}{3.32} = 12.95\).

⇒ 3 days.

Therefore, the correct answer is 3 days.

Know more about radioactive isotopes here:

https://brainly.com/question/18640165

#SPJ2

Answer:

(3,3)

Step-by-step explanation:

Linear equations of lines are given in the form:

y = mx + b;

where m is the slope of the line, b is the y intercept and x, y are variables.

From the graph, we can see that line 1 passes through (0,6) and (6,0) while line 2 passes through (0, 1) and (6, 5).

The equation of line 1 is given as:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-6=\frac{0-6}{6-0} (x-0)\\\\y=-x + 6\ \ \ (1)\)

The equation of line 2 is given as:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\frac{5-1}{6-0} (x-0)\\\\y=\frac{2}{3}x + 1\ \ \ (2)\)

Solving equation 1 and 2 simultaneously by subtracting equation 1 from 2 gives:

(5/3)x - 5 = 0

(5/3)x = 5

x = 3

Put x = 3 in equation 1:

y = -3 + 6 = 3

Therefore the two lines meet at (3, 3).

Answer:

Well $y =ax^2 + bx + c$, = -3. $/$

Step-by-step explanation:

Given:

• First choice:

donuts ($0.30/each)

muffins ($0.50/each)

bagels ($0.40/each)

• Second choice (drinks):

Individual cartons of milk or chocolate milk ($0.50/each)

Individual bottles of orange juice or apple juice ($0.75/each)

Given that you must stay within a budget of $100.

Let's solve for the following:

• (1). What food item did you choose? What drink did you choose?

To choose a food item, we must consider that the total cost must not be greater than $100.

Let's choose the following:

Muffins = $0.50 each

Individual cartons of milk or chocolate = $0.50 each

• (2).Write an inequality to represent the cost of the items (less than or equal to $100) in standard form. Use x to represent the number of food items and y to represent the number of drinks.

To write the inequality that represents the cost of the items, we have:

• (3). Solve the inequality for y (slope-intercept form).

Apply the slope-intercept form of a linear equation:

y = mx + b

Where m is the slope.

Rewrite the inequality in part(2) for y.

We have:

Divide all terms by 0.5:

Therefore, the inequality in slope-intercept form is:

The slope from the inequality is -1.

200 in the inequality means that the total number of items you can buy.

The slope is -1, this means when the number of food item reduces by 1, the number of drinks increase by 1.

• (4). , ,Graph the inequality and describe your graph and the process you used; for example, is your line dotted, solid, or shaded up or down?

Let's graph the inequality using three points.

Let's find values of y using random values of x.

When x = 20:

When x = 50:

When x = 100:

Now, we have the points:

(x, y) ==> (20, 180), (50, 150), (100, 100)

Now, plot the points on a graph and connect the points using a solid line since y is less than or equal to the expression.

Shade the region below the boundary line since y is less than or equal to the expression.

We have the graph below:

• (5). What are the x and y-intercepts?

The x-intercept is the point the line meets the x-axis while the y-intercept is the point it meets the y-axis.

Thus, we have:

x-intercept: (200, 0)

y-intercept: (0, 200)

The x-intercept means the greatest number of food items you can buy is 200

The y-intercept means the greatest number of food items you can buy is 200.

• (6). What are the domain and range in this problem?

The domain is the set of possible x-values.

Thus, we have:

Domain: 0 < x < 200

The range is the set of possible y-values.

Thus, we have:

Range: 0 < y < 200

In this problem, the minimum values of the domain and range is 0 while the maximum is 200. We may not use the minimum and maximum values of the domain and range if it is a must you pick one item each from both categories.

In this case, you have to pick one item from each category, hence we are not required to use the minimum and maximum values.

In a normal linear equation, we can use the minimum value, 0 and the maximum value 200.

The limits for both the domain and range are from 1 to 199.

ANSWER:

1). Muffins = $0.50 each

Individual cartons of milk or chocolate = $0.50 each

2). 0.50x + 0.50y ≤ 100

3). y ≤ -x + 200

4). The graph is attached above.

5). x-intercept: (200, 0)

y-intercept: (0, 200)

(6). Domain: 0 < x < 200

Range: 0 < y < 200

If we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , our monthly payment will be $150.55 or rounded of $200.

As per the question statement, we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , what will be the estimate monthly payment by rounding off to the nearest hundred dollars

First we are supposed to find the monthly payment then we can round it off to the nearest hundred dollars.

Total loan borrowed = $10840

Time taken to pay it off = 6 years or 72 months,

Payment to be made per month = \(\frac{10840}{72} \\ 150.5556\)

Therefore \(150.5556\) dollars is to be paid every month for 72 months.

After rounding off to the nearest hundred dollars we will get $200.

Hence we are supposed to pay approximately $200 every month for 72 months.

To learn more about rounding off a number, click on the link given below:

https://brainly.com/question/13391706

#SPJ9

Answer:

here! I hope this helps :) the answer is 13.2 or 13 1 (upon 5)

Step-by-step explanation:

3 × 4 2 (upon 5)

=3× 22 (upon 5)

=66 (upon 5)

=13 1 (upon 5)

Answer: the Dorians were far less advanced then the Mycenaean Greeks; economy collasped and trade stopped

Step-by-step explanation:

ratio

to

sind = d/e

sinf = f/e

Answer:

4/8 more pounds

Step-by-step explanation:

7/8-3/8=4/8

Answer:

Jon ate 5/8 more pounds of blueberries than Meg.

Step-by-step explanation:

This is because the question is asking for the difference between how many blueberries Meg ate, and how many Jon ate. Therefore, we have to use subtraction.

7/8 - 3/8 = 5/8, therefore Jon ate 5/8 lb more than Meg.

Answer:

\(\left \{{{y=3-\frac{x}{3} }\atop { y=-2x-2}} \right.\)

Step-by-step explanation:

\((-3,4),(0,3)\\y=3-\frac{x}{3} \\(-3,4),(0,-2)\\\\y=-2x-2\)

The system of linear equations are 3y = 2-x and y = -2x-2

A system of linear equations is usually a set of two linear equations with two variables.

Given that, a graph,

The two coordinates for first line are (-3, 4) and (0, 3) and for line it is (-3, 4) and (0, -2)

We know, that standard equation of line passing through two points is:

(y-y₁) = (y₁-y₂)/(x₁-x₂)(x-x₁)

Finding the equation for the first line, (-3, 4) and (0, 3)

y-3 = (3-4)/(0+3)(x+3)

y-3 = -1/3(x+3)

y = -x/3+2

3y = 2-x.......(i)

Finding the equation for the second line, (-3, 4) and (0, -2)

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

y = -2x-2.......(ii)

Hence, the two equations are 3y = 2-x and y = -2x-2

For more references on system of linear equations, click;

https://brainly.com/question/19549073

#SPJ1

Answer:

0.75

Step-by-step explanation:

Answer:

$1.33 per ticket cost

Step-by-step explanation:

5 / $3.75 = $1.33 per 1 ticket cost

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

To learn more about Probability :

brainly.com/question/24756209

#SPJ11

Answer:

AL

Step-by-step explanation:

AL would be the angle bisector because it divides the triangle into equal halfs.