Seema had 150 marbles.rani had 20 marbles more than seema.alok had 50 marbles lass than rani how many marbles did rani have

Answer:

(1, 4)

Step-by-step explanation:

I use Desmos for any graph related math problems and it's really helpful! It's completely free too. You should check it out :)

Hope this helps!

1) The general form of a cosine function is:

2) Let's pick from the graph, the amplitude, the period, the horizontal and the vertical shift.

We can tell that half of the distance between the maximum point and the minimum point is 2

Let's find the period

3) Let's resort to the picture. The only cosine function that has an amplitude of 2 and a period of 3 is C and y=2cos(3x) has a vertical shift =0

Answer:

I think 7 may be ok......

Answer: Full Moon

Step-by-step explanation:

a. The probability that difference in sample proportions is more than 6% is 0.1056.

b. There is a 0.2677 probability that the sample proportion from School A is greater than 5% than that from School B.

a. We must first determine the standard error of variation between the two sample proportions in order to determine the probability that the difference in sample proportions is greater than 6:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

P1 = 57% of students are from school A.

p2 = 61% of students are from school B.

Sample sizes from schools A and B were 75 and 80, respectively.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 6% = 0.06

Z = (0.57 - 0.61 - 0.06) / 0.0803

= -1.248

Using a standard normal distribution table, we can find the probability that Z < -1.248 is 0.1056.

Therefore, the probability that difference in sample proportions is more than 6% is 0.1056.

b. To find the probability that School A sample proportion is more than 5% higher than School B, we need to find the standard error of the difference between the two sample proportions:

SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }

where,

57% of the population in p1 is from school A.

61% of those in p2 are from school B.

75 were included in the sample from school A, while 80 were included in the sample from school B.

SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }

= sqrt{ 0.00233 + 0.00240 }

= 0.0803

Now, we can find the Z-score as:

Z = (p1 - p2 - D) / SEp1-p2

where,

D = 5% = 0.05

Z = (0.57 - 0.61 - 0.05) / 0.0803

= -0.621

We can get the probability that Z -0.621 is 0.2677 by using a standard normal distribution table.

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Answer:

x = 7.416666667

Step-by-step explanation:

Set everything equal to 180 (the total # of degrees in a triangle)

180 = 14x-13 + 4x+13 + 6x+2

Combine the variables

180 = 24x - 13 + 13 + 2

Do the math

180 = 24x +2

178 = 24x

x = 7.416666667

A variable is, to put it simply, a quantity that can be altered and is not fixed. If the variables be (14x – 13), (4x + 13) and (6x + 2) then the value of x exists 7.416666667.

An unknown numerical value in an equation or algebraic expression is represented by a symbol (typically a letter) in algebra. A variable is, to put it simply, a quantity that can be altered and is not fixed.

Let the variables be (14x – 13), (4x + 13) and (6x + 2).

Set all values to 180 (the sum of the triangle's degrees).

180 = (14x - 13) + (4x + 13) + (6x + 2)

180 = 14x - 13 + 4x + 13 + 6x + 2

simplifying the above equation, we get

180 = 24x - 13 + 13 + 2

180 = 24x +2

178 = 24x

Divide both sides of the equation by 24, we get

178/24 = 24x/24

x = 7.416666667

Therefore, the value of x = 7.416666667.

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Answer:

A is the answer

Step-by-step explanation:

the center of the circle is (-2,-1) so you're going to reverse their signs and insert that value in for x and y. the radius is 5, but the equation of a circle is

\(x ^{2} + {y}^{2} = {r}^{2} \)

so you're going to square the radius, this making it 25.

Answer:

its very simple

answer is 21

Step-by-step explanation:

m=7+14

m= 21

The standard deviation and variance of the distribution's 96% confidence intervals are 9.841 and 5.704, respectively.

A normal distribution sample of size 50 has an expected higher rate of 20 and a sample mean of 5.

n = 50 makes up the sample size.

Furthermore, the sample variance is s² = 20

The following is the formula for both the variance confidence interval:

σ² = \((\frac{(n-1)s^2}{X^2_{{n-1};{1-\alpha /2}}}, \frac{(n-1)s^2}{X^2_{{n-1};{\alpha/2}}})\)

Here, \({X^2_{{n-1};{1-\alpha /2}}}\) is the critical value at the status of significance \(\alpha\) & degree of freedom n - 1.

The 90% confidence interval's lower bound for variance is stated as,

\(\frac{(n-1)s^2}{ {X^2_{{49};{0.95}}}}\) = (49 × 20) ÷ (30.114)

= 32.54

The 90% confidence interval's upper bound for variance is stated as,

\(\frac{(n-1)s^2}{ {X^2_{{49};{0.95}}}}\) = (49 × 20) ÷ (10.117)

= 96.86

Consequently, the confidence level for the distribution's variance is (96.86, 32.54).

Additionally, the range of the distribution's standard deviation inside the 90% confidence interval is (√96.86, √32.54), that's the same as (9.841, 5.704).

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Answer: \(5\sqrt{2}\) m

Step-by-step explanation:

Using the pythagorean theorem, we get that the shortest distance it can travel is \(\sqrt{3^2+4^2+5^2}\) = \(5\sqrt{2}\) m

Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).

To solve this equation, let's break it down component-wise. Given:

E⃗ = 2A⃗ + 3B⃗

We can write the equation in terms of its components:

Ex = 2Ax + 3Bx

Ey = 2Ay + 3By

We are also given the components of vectors A⃗ and B⃗:

Ax = 5

Ay = 2

Bx = -3

By = -5

Substituting these values into the equation, we have:

Ex = 2(5) + 3(-3)

Ey = 2(2) + 3(-5)

Simplifying:

Ex = 10 - 9

Ey = 4 - 15

Ex = 1

Ey = -11

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The number in the exponential scientific form is A = 5.729 x 10⁸

Given data ,

Let the number be represented as A

Now , the value of A is

A = 572,900,000

On simplifying , we get

From the laws of exponents , we get

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1

So , the value of A is

When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

A = 5.729 x 10⁸

Hence , the scientific form is A = 5.729 x 10⁸

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Based on the information provided regarding same as cash loans, Chelsea won't be charged interest for the first 6 months of the loan, nor will she have to make payments for the first 6 months. (Option D)

A Same-As-Cash Loan refers to a short-term lending solution in which no interest or monthly payment are required to be paid during a set “Same-As-Cash” period. At the end of a predetermined period, the loan is paid off. Hence, the customer owes no interest or monthly payments during a set promotional period and pays the same amount on the loan as they would have paid up front with cash. These are interest deferred loans in which the loans interest still accrues during that promotional period, however if the customer pays off the entire principal balance before the period ends, they are not required to pay that interest. The advantage of these loans is that customers may spend the same amount they would have if they had paid with cash up front. Hence, if Chelsea opts for loan that offered 6 months, same as cash, there would be no requirement of payment or interest charged for the 6 months.

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Answer:

x = 4

Step-by-step explanation:

When you have a coefficent in front of a logarithm function, you can take the argument to the power of that coefficient. For example, the 3 in front of the logarithm can be brought into the argument, and you can take 'x' to the third power. You get:

\( log_{4}( {x}^{3} ) = log_{4}(32) + log_{4}(2) \)

When you add logarithms, it is equivalent to multiplying their arguments:

\(log_{4}( {x}^{3} ) = log_{4}(32 \times 2) = log_{4}(64) \)

Since both sides are log base 4, the arguments must equal each other:

\( {x}^{3} = 64\)

\(x = \sqrt[3]{64} = 4\)

here it is, this is ur answer x=4

Answer:

11

Step-by-step explanation:

6-1+6= 11

Answer:

A

Step-by-step explanation:

It is A because all you have to do is plug it in

So, 6-1=5

and 5+6 is 11

So this is your answer Hope this helps.

Answer:

64x16=1024

8x3=24

27x4=108

81x6=486

125x9=1125

Step-by-step explanation:

Braineist please

Answer:

A=64 C=8x^3 F=125x^9

Step-by-step explanation:

♥☺

Answer:

\(\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}\)

\(\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}\)

Step-by-step explanation:

Step 1: Define the problem

Given:

Lorrie biked \(d\) miles in time \(t = 2\) hours.

Lorrie traveled at speed \(s\) which is greater than \(8\) (mile/hour).

Task:

Lorrie wants to determine the distance she may have traveled.

Key point:

The relation among the distance biked \(d\), time \(t\), and the speed \(s\) is represented:

\(d = s\) x \(t\)

Step 2: Substitute given data into the main relation

with: \(s > 8\) and \(t = 2\)

=>     \(d = s\) x \(t\)

=>     \(d\) > \(8\) x \(2\)

Simplify:

        \(d > 16\)

Step 3: Verify Lorrie's inequality

Lorrie uses the inequality \(2d > 8\) to conclude that she traveled a distance \(d\) at most \(4\) miles, or \(d < 4\).

Considering the correct answer is at step 2, in which, \(d > 16\).

=> Lorrie's conclusion is incorrect.

Hope this helps!

:)

Answer:

Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.

Step-by-step explanation:

took the test

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

The bicycle is moving at a speed of 14,356 meters per hour.

Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.

The diameter of the wheel is 20 inches

⇒ radius = 10 inches

⇒ circumference of the wheel = 2 × π × 10

= 20π

Thus, the wheel will cover a distance of (20π × 150) inches in a minute

= 300π

now, we know that 1 inch = 0.254 meters

⇒ 300π inches = 300π × 0.254

= 76.2π

Thus, the bicycle covers 76.2π meters in a minute

⇒ it'll cover 76.2π × 60 meters in an hour

= 4572π

= 4572 × 3.14

= 14,356.08

Thus, the bicycle is moving at a speed of 14,356 meters per hour.

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Answer: 1 number the area is 7200

Step-by-step explanation:

a)  the magnitude of the static frictional force is approximately 358.17 N.

b)  the maximum force that needs to be applied before the refrigerator starts to move is approximately 358.17 N.

To determine the static frictional force exerted by the floor on the refrigerator, we can use the equation:

Static Frictional Force = Coefficient of Static Friction * Normal Force

(a) Magnitude of Static Frictional Force:

The normal force exerted by the floor on the refrigerator is equal in magnitude and opposite in direction to the weight of the refrigerator. The weight can be calculated using the formula: Weight = mass * gravitational acceleration. In this case, the mass is 58 kg and the gravitational acceleration is approximately 9.8 m/s².

Weight = 58 kg * 9.8 m/s²= 568.4 N

The magnitude of the static frictional force is given by:

Static Frictional Force = Coefficient of Static Friction * Normal Force

                      = 0.63 * 568.4 N

                      ≈ 358.17 N

Therefore, the magnitude of the static frictional force is approximately 358.17 N.

Direction of Static Frictional Force:

The static frictional force acts in the opposite direction to the applied force, which is in the negative x direction (as stated in the problem). Therefore, the static frictional force is in the positive x direction.

(b) Maximum Force Required to Overcome Static Friction:

To overcome static friction and start the motion of the refrigerator, we need to apply a force greater than or equal to the maximum static frictional force. In this case, the maximum static frictional force is 358.17 N. Thus, to move the refrigerator, a force greater than 358.17 N needs to be applied.

Therefore, the maximum force that needs to be applied before the refrigerator starts to move is approximately 358.17 N.

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The mean score has an equal probability of occurring of the scores in the uniformly distributed quiz is 5.5.

In a uniform distribution where the scores range from 1 to 10, each possible score has an equal probability of occurring. To find the mean (or average) of the scores, we can use the formula:

Mean = (Sum of all scores) / (Number of scores)

In this case, the sum of all scores can be calculated by adding up all the individual scores from 1 to 10, which gives us:

Sum of scores = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55

The number of scores is 10 since there are 10 possible scores from 1 to 10.

Plugging these values into the formula, we get:

Mean = 55 / 10 = 5.5

Therefore, the mean of the scores in this quiz is 5.5.

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The question is -

Suppose a professor gave a quiz where the scores are uniformly distributed from 1 to 10. What is the mean of the scores?

Answer:

$55892 / 9 = $6210 (rounded to the nearest whole number)

Answer:

Impossible you can’t

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Let the number of months Xian and Kai will have the same number of stamps be x, then

56 + 12x = 80 + 8x

12x - 8x = 80 - 56

4x = 24

x = 24/4 = 6

Therefore, after 6 months Xian and Kai will have the same number of stamps.

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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The total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

Cash sales: 40%

Credit card sales: 40%

Debit card sales: 20%

Requirement 1: How much of the total sales revenue is expected to be paid in cash?

Assuming the total sales revenue for January is $X, the amount expected to be paid in cash is 40% of X.

Cash sales = 0.4 × X

Requirement 2: How many customer transactions does the company expect in January?

The number of customer transactions can vary, and the information provided doesn't specify a particular value. You would need to have additional data or assumptions to determine the number of transactions.

Requirement 3: How much of the total sales revenue is expected to be paid with credit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with credit cards is 40% of X.

Credit card sales = 0.4 × X

Requirement 4: How many customer transactions will be paid for by customers using credit cards?

Similar to Requirement 2, the number of customer transactions paid for by credit cards would require additional data or assumptions to determine.

Requirement 5: When budgeting for January's operating expenses, how much should the restaurant expect to incur in credit card transaction fees?

To calculate the credit card transaction fees, we need to consider two components: a fixed fee per transaction and a percentage fee based on the amount charged.

Assuming the number of credit card transactions is Y, and the average amount charged per transaction is Z, the credit card transaction fees can be calculated as:

Credit card transaction fees = (0.50 × Y) + (0.02 × Z × Y)

Requirement 6: How much of the total sales revenue is expected to be paid with debit cards?

Assuming the total sales revenue for January is $X, the amount expected to be paid with debit cards is 20% of X.

Debit card sales = 0.2 × X

Requirement 7: How many customer transactions will be paid for by customers using debit cards?

Similar to Requirement 2 and Requirement 4, the number of customer transactions paid for by debit cards would require additional data or assumptions to determine.

Requirement 8: When budgeting for January's operating expenses, how much should the restaurant expect to incur in debit card transaction fees?

Similar to Requirement 5, the debit card transaction fees can be calculated using the same formula but with different values for the fixed fee per transaction and the percentage fee based on the amount charged.

Requirement 10: What is the total amount of money that the restaurant expects to deposit in its bank account during the month of January from cash, credit card, and debit card sales?

Assuming the total sales revenue for January is $X, the total amount expected to be deposited in the bank account is the sum of cash sales, credit card sales, and debit card sales.

Total deposits = Cash sales + Credit card sales + Debit card sales

= 0.4 × X + 0.4 × X + 0.2 × X

= X

Therefore, the total amount expected to be deposited in the restaurant's bank account during the month of January from cash, credit card, and debit card sales is equal to the total sales revenue, which is $X.

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The linear equation that shows the interest earned from each investment is (d): "4a + 6b + 5c = 950"

Investment refers to the act of allocating money or other resources to an asset or venture with the expectation of generating a profit or some other form of return over a period of time.  The primary goal of investing is to use the available resources to generate a return that is greater than the initial investment, thus growing wealth over time.

A linear equation is an algebraic equation in which the highest power of the variable is one. In other words, a linear equation is a polynomial of degree one. It represents a straight line when plotted on a graph. The general form of a linear equation with one variable, x, is:

ax + b = 0

In the given question,

Let's assume that Mr. Silverstone invested a dollars in the first annuity with an interest rate of 2%, b dollars in the second annuity with an interest rate of 4%, and c dollars in the bond with an interest rate of 5%. The interest earned from each investment can be calculated as follows:

Interest earned from the first annuity = 0.02a

Interest earned from the second annuity = 0.04b

Interest earned from the bond = 0.05c

The total interest earned from all three investments together is given as $950. Therefore, we can write the equation:

0.02a + 0.04b + 0.05c = 950

This is the same as option (c) given in the question: "0.04a + 0.06b + 0.05c = 950". However, option (c) has some errors in the coefficients, as the interest rates for the annuities were given as 2% and 4%, not 4% and 6%.

Therefore, the linear equation that shows the interest earned from each investment if the total was $950 is:

0.02a + 0.04b + 0.05c = 950

This can also be simplified as:

2a + 4b + 5c = 95000 (by multiplying both sides by 100 to remove the decimals)

So, the correct option is (d): "4a + 6b + 5c = 950".

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