A population of values has an unknown distribution with
ll
= 83.3 and o
= 10.4. You intend to draw a random
sample of size n
= 212.
What is the mean of the distribution of sample means?
flie
(Please enter an exact answer.)
What is the standard deviation of the distribution of
sample means?
Ox
(Please report your answer accurate
to 2 decimal places.)

The required weight of the flour is 28.125 ounces.

A recipe calls for 15 ounces of flour for every 8 ounces of milk. It is given that we use 15 ounces of milk. Then we need to calculate the weight of flour we need to use.

The ratios of the ingredients must remain in equal proportions. The fraction of one divided by the other is referred to as the ratio. A proportion is an equation that equates two ratios. We will use the unitary method. Let the weight of the flour required be denoted by the variable "w". A variable is a quantity that can change in a mathematical problem or experiment.

w = (15/8)*15

w = 28.125

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The initial amount of the deposit is $7234.23

Compound interest is calculated on a deposit's or a loan's initial principal as well as the accrued interest from earlier periods. Compound interest's impact is frequency-dependent. The most frequent compounding occurs with continuously compounded rewards. The mathematical maximum that compound interest can achieve is continuous compounding. Since most interest is compounded on a monthly, quarterly, or semiannual basis, this is an extreme example of compounding.

For compound continuous problems, we use the formula [tex]A = Pe^{rt}[/tex]

where A = final amount

P = principal amount invested

e = exponent

r = rate of interest

t = time period in years

[tex]12680 = Pe^{.08(7)} \\12680 = Pe^{0.56}\\ 12680 = P*1.7506\\[/tex]

P = $7243.23

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Answer:

Step-by-step explanation:

20? lol

Answer:

1 = 88

2 = 92

3 = 88

4 = 92

5 = 92

6 = 88

7 = 92

8 = 88

Step-by-step explanation:

10x + 2 = 14x - 50

52 = 4x

18 = x

An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

acc to our question-

Hence,An matrix A is a nilpotent matrix if there exists a positive integer k such that Ak is the zero matrix.

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The margin of error with 80% confidence interval is 2.099

Given that,

A straightforward random sample of 25 observations is taken from a population that is normally distributed and has a standard deviation of 8.2.

To find : The margin of error with 80% confidence

Margin of Error : The margin of error is a statistic that describes how much random sampling error there is in survey results. One should have less faith that a poll's findings would accurately reflect those of a population census the higher the margin of error.

Here we have

n=25,σ=8.2

For 80% confidence interval, the critical value of z is 1.28. So requried margin of error is

ME=[tex]Z_{c}\cdot \frac{\sigma}{\sqrt{n}}[/tex]=1.28[tex]\cdot \frac{8.2}{\sqrt{25}}[/tex]=2.0992

Thus, with 80% confidence, the error margin is 2.099.

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5050

Step-by-step explanation:

1+2+3+.....+100 add all the numbers and u get that

The rational number is equivalent to 0.36 is 9/25

From the question, we have the following decimal number that can be used in our computation:

Decimal number = 0.36

To start with, we need to express the decimal number as a fraction

This is represented as follows:

So, we have the following representation

Decimal number = 36/100

Change the label of the above representation to rational number

Rational number = 36/100

Simplify the rational number (divide the numerator and the denominator by 2)

Rational number = 18/50

Simplify the rational number (divide the numerator and the denominator by 2)

Rational number = 9/25

Hence, the equivalent rational number is 9/25

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To do the multiplication, we multiply 0.63 by each of the digits & decimal places of 0.24 (and align the products that we get) then add them together.

0.63 x 4 = 2.52, therefore the first missing spot is a 2.

0.63 x 2 = 1.26, therefore the second missing spot is a 2 (the 0 is so that the decimal point can be aligned for the result.)

Answer: Box 1: 2 Box 2: 2

Step-by-step explanation:

So, for box one it would be 2 because 3 x 4 = 12, put the 2 on the bottom and the 1 on the 6, then 6 x 4 + 1 = 25, then put the 5 on the bottom and the 2 on the top, then 4 x 0 + 2 = 2, so the answer would be 2.

For box 2, 252 + 1?60 = 0.1512, so we have to find the missing number. So, 2 + 0 = 2, so put the two on the bottom, then 5 + 6 = 11, so put the 1 on the bottom and the other 1 on the 2 from the first box, so 2 + 1 = 3, plus 2 more would equal 5, so the second box would be 2.

Hope this helps!

Answer:

57 coins are not nickels.

Equation: n + 57 = 70

Step-by-step explanation:

To find how many coins are not nickels, just add up the pennies, dimes, and quarters all together:

26 + 12 + 19 = 57 coins are not nickels.

The equation you could use to find n (nickels) would be:

n + 57 = 70

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2,  2.02, 4.22, 4 1/8

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The amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %. The result is obtained by calculating the change of two numbers.

A number can increase or decrease to another number. This change can be counted by subtracting the first number from the second number. If the result is positive, it is an increase. If the result is negative, it is a decrease.

The percent of change would be the ratio of the amount of change to first number times 100.

Given the first figure of bag is 26 pounds and the last figure is 30 pounds.

The amount of increase is subtracting 26 from 30.

30 - 26 = 4 pounds.

The percent of increase is

[tex]= \frac{4}{30} \times 100[/tex] %

[tex]= 0.1333 \times 100[/tex] %

[tex]= 13.33[/tex] %

Hence, the amount of weight of bag increase is 4 pounds. The percent of increase is 13,33 %.

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Answer:

LCM(8,4)=8.LCM(5,3)=15. LCM can be used to create equivilant fractions, meaning you can add fractions with much more efficiency.

Step-by-step explanation:

The required value of h(0) = 5 in the given function is represented in the shown graph.

A graph can be defined as a visual representation or a diagram that represents data or values.

The function is given in the represented graph of g(x)

We have to determine the value of h(0) of the given function in the graph

According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.

Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.

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Answer:

x = 6

Step-by-step explanation:

Given equation,

→ 3x - (2/3)x = 14

Now the value of x will be,

→ 3x - (2/3)x = 14

→ (9/3)x - (2/3)x = 14

→ ((9 - 2)/3)x = 14

→ (7/3)x = 14

→ 7x = 14 × 3

→ x = 42/7

→ [ x = 6 ]

Hence, the value of x is 6.

After selling 35 wooden toys and after cutting the expense of setting up his booth, Emilio earns $370.

What is BODMAS?

BODMAS, often known as the order of operations, is a method for carrying out operations in an arithmetic expression. Math is all about logic and some established principles that facilitate our computations. BODMAS is one of those commonly used rules for consolidating expressions with multiple operators.

Solution Explained:
A/Q, The price of one toy is $12
        The cost of setting up the shop is $50

Therefore, the amount Emilio earns after selling 35 toys is:

(12 X 35) - 50
= 420 - 50
= 370

Hence, Emilio earns $370

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An equation of the form P=0 is referred to as a polynomial equation. P is a polynomial with coefficients in some field, typically the field of the rational numbers. A polynomial equation, on the other hand, can include a number of variables. The phrase polynomial equation is typically preferred over algebraic equation when discussing situations with multiple variables.

One or more variables, coefficients, and non-negative integer exponents of variables make up a polynomial, which is an expression. A mathematical statement that has a "equal to" symbol between two algebraic expressions with equal values is called an equation.

Sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

4x² + 6x + 21=0 where 4x²+6x+21 is considered as a polynomial expression which is written on the left side and has been fixed to make the polynomial expression equal to zero to form a complete polynomial equation.

1 Already answered

2 Degree:1 Real Roots of an equation:8 Number of Real Roots:1

3 Degree:2 Real Roots of an equation:2,-2 Number of Real Roots:2

4 Degree:5 Real Roots of an equation:-1,1-3,-3,-3 Number of Real Roots:5

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Answer:

the shorter leg = 9mm

the longer leg = 12mm

the hypotenuse is 15mm

Step-by-step explanation:

x^2 +(x+3)^2 =(x+6)^2

x^2 + x^2 + 6x +9=x^2 + 12x +36

x^2-6x-27=0

(x+3)(3-9)=0

x=-3 (impossible) ... or x=9

Answer:

$24

Step-by-step explanation:

3(4) + 3(4) = x (the total cost)

12 + 12 = x

x = $24

The option that would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years include:

A. $80 at 75% for 18 months

C. $225 at 10% for 4 years

It's important to note that the simple interest can be calculated thus:

= Principal × Rate × Time

Therefore, the amount of interest as a $600 principal with 2.5% interest for 6 years will be:

= PRT

= (600 × 0.025 × 6)

= $90

The interest on $80 at 75% for 18 months will be:

= $80 × 0.75 × 1.5

= $90

The interest on $225 at 10% for 4 years will be:

= $225 × 0.1 × 4

= $90

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Answer:

9

Step-by-step explanation:

Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.

Probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to 1/6.

As given in the question,

From the given table we have,

Total number of girls and boys in the class = 30

Total number of boys in class = 12

Total number of girls in class = 18

As per given Hint: P(A/B) = P(A and B) / P(B)

A is the Junior

B is the girl

Probability as per given condition is:

P(Junior / Girl) = P(Junior and girl) / P(girl)

                       = (3/30) / (18/30)

                       = 3/18

                       = 1/6 ( lowest term of fraction)

Therefore, probability for the given condition P (Junior / Girl ) from the given table of classroom of students is equal to  1/6.

The complete question is:

Find P(Junior / Girl)         Hint: P(A/B) = P(A and B) / P(B) .

Classroom of Students

                            Boys     Girls

Freshman              4            4         8

Sophomore           5             7         12

Junior                    2             3           5  

Senior                    1            4           5            

                             12           18

Reduce your fraction to lowest terms.

Enter the number that belongs in the green box.

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Blair received 15 bars as the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients.

The weighted average is calculated by adding up all the variables, multiplying by their weight, and dividing by the sum of the weights. Instead of treating each item equally, a weighted average or mean multiplies each item being averaged by a number based on its relative importance. The weights or weightings correspond to including that many comparable items of the same value in the average.

Here,

The average weight of the bars given to Brennan (light), Blair, and Maya was higher than the average weight of the bars given to the other two recipients (heavy).

Let X represent the combined weight of all the bars.

The weight of the bars Brennan was given was equal to 45% of X, or 0.45X.

Maya was given bars that weighed 26% of X, or 0.26X.

The weight of the bars Claire was given was the rest, or 29% of X, or 0.29X.

Brennan received bars with an average weight of 0.45 x/ 24.

The weight of the Maya-received bars, on average, is 0.26X/13.

Similar to the previous example, if Blair receives B bars, then their average weight is 0.29X/B.

Similarly, the average weight of the bars given to Brennan (light), Blair, and Maya, as well as the average weight of the bars given to the other recipients. So blair received 15 bars.

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Answer:

45

Step-by-step explanation:

The 27 red cars make up 60% of the total collection, here is the equation

to be solved:

         27 = 60% of C                         C is the total cars in the collection

         27 = .60 C

         27 / .60 = C

         45 = C

Hope this helps! :)

The solution for k in the equation given as 20+ 7k = 8k+ 16 is 4

From the question, the algebraic expression is given as

20+ 7k = 8k+ 16

There is no constant to multiply or divide in the expression

So, the equation remains the same

20+ 7k = 8k+ 16

Collect the like term in the above equation

This gives

8k - 7k = 20 - 16

Evaluate the like term in the above equation

So, we have the following representation

k = 4

The above equation cannot be solved further

Hence, the solution is k = 4

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He covers 15 miles on the bike, 9 miles by running and 1.5 miles while swimming which sum up to 25.5 miles which is his total training distance.

Distance is defined as an object's entire movement without regard for direction. Distance may be defined as how much ground an item has traversed regardless of its starting or finishing place. Distance is a scalar number that indicates "how much ground an item has covered" while moving. Displacement is a vector variable that describes "how far out of place an item is"; it represents the total change in position of the object. Distance is the length along a line or line segment between two locations on the line or line segment.

Here,

He rides 15 miles, which is ten times as far as he swims.

He runs 9 miles, which is half the distance he rides (15/2=7.5). Plus the additional 1.5 miles, totaling 9.

He swims.10 of what he bikes, for a total of 15x.10 = 1.5. As a result, he swims 1.5 miles.

15 miles = bike

9 miles= run

1.5 mile =swim

Add them all together and you get 25.5 miles.

He rides his bike for 15 miles, runs for 9 miles, and swims for 1.5 miles, for a total training distance of 25.5 miles.

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The concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

So, the congruence statement of the given 2 triangles is as follows:

△RGB ≅ △DCS

Hence, △RGB ≅ △DCS  under ASA condition.

Therefore, the concurrency statement for the given triangles is that (D) △RGB ≅ △DCS  under ASA condition.

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The chance that the call arrived when the switchboard was not completely busy is 0.75.

Probability is a branch of mathematics that studies the likelihood of a random event occurring.

It is given that the switchboard is fully busy for the first 15 seconds, that means it is not busy for the next 15 seconds to 60 seconds

Therefore the probability that calls arrived when the switchboard was not fully busy is

P(15< x < 60) = ∫_15^60▒f(x)dx

= ∫_15^60▒〖1/60 dx〗

=1/60 ∫_15^60▒〖1.dx〗

= 1/60 [ x ]6015

= (60 – 15)/60

= 45/60

= ¾

= 0.75

Therefore the probability that the call arrived when the switchboard was not fully busy is 0.75

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