A person has two times as many nickels as quarters. if the total face value of these coins is $4.55, how many of each type of coin does this person have?

Final answer:

The proportion of a normal distribution for z scores greater than 1.04 is 0.1492, which is found by subtracting the area to the left (0.8508) from the total area under the curve (1).

Explanation:

To find the proportion of a normal distribution that corresponds to z scores greater than 1.04, we must look up the area to the left of the z-score using a z-table or a standard normal distribution table. Once we have the area to the left, we can calculate the area to the right by subtracting this value from 1 (since the total area under the curve is 1). For a z-score of 1.04, the z-table shows that the area to the left is approximately 0.8508. Therefore, the proportion that is greater than a z-score of 1.04 is 1 - 0.8508, which equals 0.1492.

The standard normal distribution (Z~N(0,1)) has a total area of 1 under the curve, and it is symmetric about the mean, which is 0. Z-scores give us a way to determine how many standard deviations an observation is from the mean. Additionally, common z-scores used to determine confidence intervals or the proportion of observations within a certain range are tied to the percentage areas under the curve. For example, a z-score of ±1 encompasses approximately 68% of the data, ±2 about 95%, and ±3 approximately 99.7%.

The two numbers are 16 and 33. They satisfy the conditions that their sum is 49 and their product is 544, as verified by setting up and solving a system of equations.

To find two numbers whose sum is 49 and whose product is 544, we can set up a system of equations based on the information given. Let's call the two numbers x and y. So, we have two equations:

By solving these equations simultaneously, we can find the values of x and y.

The easiest way to solve this might be to express y in terms of x from the first equation: y = 49 - x. Then, substitute this into the second equation:

x(49 - x) = 544

This simplifies to a quadratic equation:

x^2 - 49x + 544 = 0

Factoring this quadratic equation, we get:

(x - 16)(x - 33) = 0

Which gives us two possible values for x:

Plugging these back into the equation for y, we get:

So the two numbers are 16 and 33.

The 95% confidence interval for the mean wrist circumference for all men is 18.91 to 19.69 centimeters.

To calculate the confidence interval for the mean wrist circumference, we can use the formula: CI = x ± t(s/√n), where CI is the confidence interval, x is the sample mean, t is the t-value corresponding to the desired confidence level, s is the sample standard deviation, and n is the sample size.

In this case, the sample mean is 19.3 centimeters, the sample standard deviation is 1.2 centimeters, and the sample size is 48. We can find the t-value for a 95% confidence level using a t-table or calculator. Assuming a normal distribution, the t-value is approximately 1.96. Plugging in these values into the formula, we get:

CI = 19.3 ± 1.96(1.2/√48) = 19.3 ± 0.3956

Therefore, the 95% confidence interval for the mean wrist circumference is approximately 18.91 to 19.69 centimeters.

The correct formula for [tex]\( r \)[/tex] rearranged from [tex]\( v = \frac{GM}{r} \) is \( r = \frac{GM}{v} \)[/tex].

To rearrange the formula [tex]\( v = \frac{GM}{r} \)[/tex] to solve for [tex]\( r \)[/tex], follow these steps:

1. Start with the given formula:

[tex]\[ v = \frac{GM}{r} \][/tex]

2. Multiply both sides of the equation by [tex]\( r \)[/tex] to get rid of the denominator:

[tex]\[ vr = GM \][/tex]

3. Divide both sides of the equation by [tex]\( v \)[/tex] to isolate [tex]\( r \)[/tex]:

[tex]\[ r = \frac{GM}{v} \][/tex]

This gives us the rearranged formula for [tex]\( r \)[/tex] in terms of [tex]\( G \), \( M \), and \( v \)[/tex]

Answer:

y=4

Step-by-step explanation:

For each postcard person gets $14/60 or $0.2333.

Ratio is basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, there ratio will be a:b .

Given that,

Wage for 1 hour = $14,

Since,

The person mailed 300 postcards in 5 hours,

therefore, in 1 hour 60 postcards will be mailed.

Person gets $14 for 60 postcards ,

So for 1 postcard person will get $14/60 or $0.2333 .

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Answer: 0.7

Step-by-step explanation: 1-0.3 = 0.7

Ria will need 2677920 Rupees to pay her tuition fees

Data;

We need to convert the currency from dollars to rupees

From the data given in the question, $1 is equivalent to 63.7 Rupees.

This information can further be used to determine how many Rupees she needs to pay her Tuition fees.

[tex]\$1 = 63.76 Rupees\\\$42,000 = x\\x = 42000 * 63.76\\x = 2677920[/tex]

Ria will need 2677920 Rupees to pay her tuition fees

Learn more on conversion here;

https://brainly.com/question/2681210

Answer: If 2 · 5 ≠ 10, then 3 + 4 ≠ 6.

Step-by-step explanation:

Because a contrapositive is the contradiction the hypothesis and conclusion of something given and interchanging them. For example: "if not-B then not-A " is the contrapositive of "if A then B "

Answer:

If 2 · 5 ≠ 10, then 3 + 4 ≠ 6.

Step-by-step explanation: Hope This Helps You!!! :)))

Answer:

[tex]x=-\dfrac{11}{6},\dfrac{8}{7}[/tex]

Step-by-step explanation:

Given: [tex](7x-8)(6x+11)[/tex]

Set the expression to 0 to solve for x

[tex](7x-8)(6x+11)=0[/tex]

Set each factor to 0 and solve for x

7x-8 = 0    or    6x+11 = 0

7x = 8      or    6x = -11

[tex]x=\dfrac{8}{7}[/tex]    or   [tex]x=-\dfrac{11}{6}[/tex]

hence, The values of x are [tex]x=-\dfrac{11}{6},\dfrac{8}{7}[/tex]

Mac's mass can be found by setting up the equation 3m + 5kg - 2m = 60kg, simplifying to m + 5kg = 60kg, and solving for m to get m = 55kg. Therefore, Mac's mass is 55kg.

The equation, according to the problem statement, is: 3m + 5kg - 2m = 60kg. This simplifies to m + 5kg = 60kg, from which we can subtract 5kg from both sides resulting in m = 55kg. So, Mac's mass is 55kg.

Steps to solve the problem:

Let m represent Mac's mass.

Write the equation according to the problem statement: 3m + 5kg - 2m = 60kg.

Simplify the equation: m + 5kg = 60kg.

Subtract 5kg from both sides: m = 55kg.

Conclude that Mac's mass is 55kg.