The sum of two numbers is 48 and the difference is 18. What are the numbers?

Answer:

Less than 4.5

Step-by-step explanation:

Given that :

Mean = 10

Population standard deviation (σ) = 4.5

Sample size (n) = 2950000

The standard deviation of sample means becomes smaller or lesser as the sample size increases according to the central limit theorem. This is because the standard deviation of sample means is obtained by dividing the population standard deviation by the square root of the sample size. Thus is called the standard error.

The standard deviation of sample means is called the standard error ; and is obtained by:

Standard Error = σ/√n

Standard Error = 4.5 / √2950000

Standard Error = 4.5 / 1717.5564

= 0.0026200

Step-by-step explanation:

Closest square root to 294 is 17(289) + 5

294 --> 9 is 287.

289 - 287 = 2.

2 is the biggest positive integer

Answer:

Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...

Step 2: Count the number of decimal places moved in Step 1 . ...

Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

Step-by-step explanation:

Answer:

21022

Step-by-step explanation:

Since 10508 is the LCM of a + 1 and a - 5, then the product of a + 1 and a - 5 must be a multiple of 10508, or 10508k, for any integer k.

(a + 1)(a - 5) = 10508k

Let k = 1

(a + 1)(a - 5) = 10508

Let a = 104, then (a + 1)(a - 5) = 10395, too low

Let a = 105, then (a + 1)9a - 5) = 10706, too high

Try k = 2

(a + 1)(a - 5) = 21016

Let a = 146, then (a + 1)(a - 5) = 20727, too low

Let a = 147, then (a + 1)(a - 5) = 21016, exactly correct.

We need k = 2, and a = 147.

Then for a = 147,

a² - 4a + 1 = 147² - 4(147) + 1 = 21022

Answer: 21022

Answer:

y= mx + b

Step-by-step explanation:

use the formula y= mx + b to calculate slope

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .Step-by-step explanation:

The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.

To solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;

8x - 4y = -4

add 4y to both sides

8x - 4y + 4y= -4 + 4y

8x = - 4 + 4y

also to make y the subject;

- 4 + 4y = 8x

add 4 to both sides

- 4 + 4 + 4y = 8x + 4

4y = 8x + 4

factorize the right hand side

4y = 4(2x + 1)

divide through by the coefficient of y

4y/4 = [4(2x + 1)]/4

y = 2x + 1

Hence, the equation 8x - 4y = -4 has y = 2x + 1

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Answer:

2, 3, 5, 7, 11, 13, 17, 19 and 23,

Step-by-step explanation:

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19 and 23,

So, if one of your points is (0,0), as long as you have any other point, say (9,27), you can just put the y over the x, giving you in this example 27/9. Then you just reduce, so this example would give you a unit rate of 3.

Answer:

1

Step-by-step explanation:

9-3x3+1

9-9+1

=1

Answer:

1

Step-by-step explanation:

Start with the division. 3  ÷ 1/3 = 9

Now continue to add/subtract in the order it comes.

9 - 9 = 0

0 + 1 = 1

f(x) goes to -2. The end behavior of f(x) is that f(x) goes to -2 as x goes to infinity.

The end behavior of a function describes what happens to the function's values as the input (x) approaches positive or negative infinity.

For the given function f(x) = 2 - 2 as x goes to infinity, the end behavior can be determined by observing the constant term (-2) in the expression.

As x approaches positive infinity, the value of the function f(x) approaches the constant term (-2). Therefore, the correct answer is: The end behavior of f(x) is that f(x) goes to -2 as x goes to infinity.

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What is the end behavior of \(f(x) = 2^{-x} + 2\) as x goes to infinity?

O f(x) goes to -2

O f(x) goes to -4 f(x) goes to infinity

O f(x) goes to negative infinity

O f(x) goes to 0

option c) = \(\frac{1}{12}\)th of the mass of C - 12 atom is correct.

First, let us study the definition of Atomic Mass,

Atomic mass -

So we can also conclude that the 1 atomic mass unit is equal to 1/12 of the mass of the C-12 atom

Therefore, option c) = \(\frac{1}{12}\)th of the mass of C - 12 atom is correct.

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Answer:1/4

Step-by-step explanation:3*2/(2*12)=1/4 so our answer is 1/4.

Answer:

88.3 degrees

Step-by-step explanation:

The complementary angles complete each other to 90 degrees

if one of the angle is 1.7 degree then the other one is :

90 - 1.7 = 88.3 degrees

When Joan examines the graph, she notes that there are always three times as many steps as there are feet. She is not correct.

A simple graph is a graph that does not have more than one edge between any two vertices and no edge starts and ends at the same vertex. In other words a simple graph is a graph without loops and multiple edges.

According to the graph we were shown, if she takes 6 steps, that implies she is walking 18 feet. To write this down in mathematics, let x be the number of steps she is taking and y be the number of feet she has covered. If x = 6 and y = 18, then x  3 times equal to y.

From the graph, we can see that when the steps are two, then feet are six, the steps are four, then feet are twelve, and the steps are six, then feet are eighteen.

x= 2,4,6 then y = 6,12,18

x*n = y

2 * n = 6.

4* n = 12

6*n = 18 and so on

n = 3

that is x*3 = y

3times steps is the number of feet, is the correct statement.

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Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

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Answer:

SEE BELOW

Step-by-step explanation:

By mid point theorem:

1)

\( MO = 2\times CD\\\\

MO = 2\times 4\\\\

\huge\red {\boxed {MO = 8\: cm}} \\\\\)

2)

\( NO = 2\times CE\\\\

NO = 2\times 8\\\\

\huge\purple {\boxed {NO = 16\: cm}} \\\\\)

3)

\( MN= 2\times DE\\\\

MN = 2\times 7\\\\

\huge\purple {\boxed {MN = 14\: cm}} \\\\\)

4)

\( 2(3x +1) = 20\\\\

3x + 1= \frac {20}{2}\\\\

3x + 1 = 10\\\\

3x = 10-1\\\\

3x = 9\\\\

x = \frac{9}{3} \\\\

x = 3\: units\)

Answer:

88cm

Step-by-step explanation:

Diameter of  a circle =28 cm

Thus, circumference =π×28 cm

                                   =\(\frac{22}{7}\) × 28cm

                                   =22×4 cm

                                  =88 cm

Answer:

88 centimetres

Step-by-step explanation:

circumference of a circle=

\(2\pi \: r\)

radius =

\( \frac{diameter}{2} \)

radius =

\( \frac{28}{2} \)

r = 14

c =

\(2 \times \frac{22}{7} \times 14\)

= 88 centimetres

Answer:

x = -3

y = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

13per mile×1080 mile =140.79

Answer:

B

Step-by-step explanation:

if you at $24.74 * 6 = 148.5

then you take 1083 * .13 = 140.79

then add the two number to get 289.29

The probability of a female student studying abroad is 9.5%. 60% of those who study abroad are female, while 49% of those who do not study abroad are female.

P(Female studying abroad) = P(Female and Studying Abroad) / P(Female)

P(Female and Studying Abroad) = 0.095 × 0.60 = 0.057

P(Female) = 0.095 × 0.60 + 0.905 × 0.49 = 0.902

P(Female studying abroad) = 0.057 / 0.902 = 0.063

Therefore, the probability of a female student studying abroad is 0.063.

The probability of a female student studying abroad is 9.5%. This means that out of all the undergraduate students, 9.5% of them are female and are studying abroad. It is also important to note that out of those who study abroad, 60% are female, while 49% of those who do not study abroad are female. This means that more female students are likely to study abroad than male students, as the percentage of female students studying abroad is higher than the percentage of male students studying abroad. It is also important to note that the overall percentage of female students studying abroad is lower than the overall percentage of male students studying abroad, as the number of female students who study abroad is lower than the number of male students who study abroad. Therefore, the probability of a female student studying abroad is 9.5%.

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The lower and the upper limit for a 99% confidence interval would be approximately 37.51 and 50.03

Here,

Mean = 43.77

Standard deviation (s)= 12.43655

n= 30

So,

   CI= mean ± t (s/√n)

      = 43.77±2.756(12.43655/√30)

      = 43.77±6.26

      = 37.51,50.03

So, the lower and upper limit would be 37.51 and 50.03

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Answer:

1. 20 (tens)

2. 8 (ones)

3. 0.6 (tenths)

4. 0.005 (Hundredths)

5. 0.0009 (thousandths)

6. 0.00007 (ten thousandths)

i hoped this helped!

Step-by-step explanation:

The accepted method for representing both integer and non-integer numbers is the decimal numeral system.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

Given the decimal number is 28.6597. The value of each digit in the decimal number will be calculated as,

1. 20 (tens)

2. 8 (ones)

3. 0.6 (tenths)

4. 0.005 (Hundredths)

5. 0.0009 (thousandths)

6. 0.00007 (ten thousandths)

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a) To calculate the interest earned, we need to use the formula for continuous compound interest, which is given by

\(A = P * e^{rt}\),

where A is the final amount, P is the principal amount, r is the annual interest rate, and t is the time in years.

Given the rate of money flow function \(()=510+0.4^2\), we can assume that \(P = ()(0) = 510 + 0.4^2 = 510.16\). The annual interest rate is 6% or 0.06, and the time is 17 years.

Using the formula, \(A = 510.16 * e^{0.06*17}\), we can calculate the final amount. The interest earned is the difference between the final amount and the principal amount, so the interest earned is A - P.

b) To calculate the lump-sum amount that would yield the same interest, we can use the formula \(P = A / e^{rt}\). We know that the interest earned is A - P, so we can substitute this value into the formula.

Let's assume the lump-sum amount is L. Using the formula, \(L = (A - (A - L)) / e^{rt}\), we can solve for L. Simplifying the equation, we get L = A * e^(rt).

So, the lump-sum amount that would yield the same interest is \(A * e^{(rt)}\).

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Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

147

Step-by-step explanation:

trust me im Really Smart GIVE ME BRAINLIST just did this question im first

Answer:

What is the question? BUT off guess I'm assuming its option (C) - 147

Step-by-step explanation:

Hope this helped if so please leave a rating! :)

THANKS!

Answer:

you pay $69.74

Step-by-step explanation:

total cost without coupon: 15+65+14 = 94

apply the 30% discount ⇒ 94 × .30 = 28.20

subtract the savings ⇒ 94.00 - 28.20

total, after coupon, before tax ⇒ 65.80

apply 6% tax to 65.80  ⇒  65.8 × .06  ⇒ 3.94

add tax to cost after coupon ⇒  65.80 + 3.94

you pay $69.74

Answer:

Well I can't put it on a number line but the order they should go in is: 2 \(\frac{1}{4}\), 2.3 (repeating), 2.5,\(\sqrt{8}\)

Step-by-step explanation:

Answer:

yay

Step-by-step explanation:

yayayayayayayayayayayayayayayayayayayayayayayayayayay

The Tukey's "honestly significant difference" test is a post-hoc test.What is a post-hoc test?In statistics, a post-hoc test is a statistical test conducted after another test that has yielded statistical significance has been conducted.

The post-hoc test may be utilized to discover which group or groups within a larger population are responsible for the statistical significance of the findings.

The Tukey's "honestly significant difference" test is a post-hoc test which compares all possible pairs of means in a sample and determines if there is a statistically significant difference between them. It is frequently used in conjunction with one-way ANOVA and is useful in identifying where significant differences exist between groups when the ANOVA determines that a statistically significant difference exists. The "150" you mentioned is not relevant to the question and has not been used anywhere in the context.

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