3. Find the precise. or exact. sum of these two numbers. 123+358 = ​

If the mean is 8.5 minutes and the variance is 9 minutes then the upper confidence limit is 9.3765  .

In the question ,

it is given that ,

the number of sales person in the random sample (n) = 45 ,

the mean = 8.5 minutes

the variance is = 9 minutes .

So , the standard deviation is = 3.

For the 95% confidence interval the level of significance (α) is 0.05 .

So , α/2 = 0.05/2 = 0.025 .

So , from Z table ;

the value of \(Z_{\frac{\alpha }{2} }\) is = 1.96 .

The formula for the confidence interval is

= [ mean ±  \(Z_{\frac{\alpha }{2} }\)(SD/√n)]

Substituting the values from above ,

we get ,

= [8.5 - 1.96*0.4472 , 8.5 + 1.96*0.4472]

Simplifying further ,

we get ,

= [ 7.6235 , 9.3765 ]

Therefore , the upper limit of the 95% confidence interval is 9.3765  .

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Where the daily growth factor is 1.15 and the starting height in inches is 7.

a. Given by, the function that calculates the height of the beanstalk in relation to the time since Gregory planted it.

\(f(t) = 7(1.15)^t\)

where the daily growth factor is 1.15 and the starting height in inches is 7.

B). The following ratios can be calculated using the formula from section (a):

f(1)/f(0) = (71.15¹)/(71.15⁰) = 1.15

f(2)/f(1) = (71.15²)/(71.15¹ = 1.15

f(1)/f(1) = (71.15¹)/(71.15¹) = 1

\(f(9.56)/f(8.56) = (71.15^{9.56})/(71.15^{8.56})\) ≈ 1.15

\(f(8.56)/f(8.55) = (71.15^{8.56})/(71.15^{8.55})\) ≈ 1.15

c. For the any value of z, we have:

\(f(z+1)/f(z) = (71.15^{(z+1)})/(71.15^z)\) = 1.15

and

\(f(z)/f(z-1) = (71.15^z)/(71.15^{(z-1)})\) = 1.15

For question 6:

a. As a increases throughout the function's domain, f(z) [Select an answer]

Since the base of the exponential function is less than 1 (0.69 < 1), as x increases, f(x) will approach 0.

b. The 1-unit growth factor of f is

The 1-unit growth factor for f is 0.69, since f(x+1)/f(x) = 0.69.

c. The -unit growth factor of f is

The 1/2-unit growth factor for f is (0.69)¹/₂, since f(x+1/2)/f(x) = (0.69)¹/₂.

d. The 6-unit growth factor of f is

The 6-unit growth factor for f is (0.69)⁶, since f(x+6)/f(x) = (0.69)⁶.

e. The 6-unit percent change of  f is

The 6-unit percent change for f is ((0.69)^6 - 1) * 100%, which is approximately -38.77%.

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Answer:

1201

Step-by-step explanation:

Answer:

4x+1

Step-by-step explanation:

f(x)=x-4 and g(x)=3x+5,

(f+g) (x) = x-4 +3x+5

Combine like terms

           = 4x+1

Answer

2

Step-by-step explanation:

x^2-5x+2,

the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2

Answer:

2 - √3

Step-by-step explanation:

Find other root. Use x as a substitute.

\(x = 2 + \sqrt{3}\\x - 2 = \sqrt{3}\\\left(x - 2\right)^2 = 3\\x^2 = 4 - 2 \times x \times 2 = 3\\x^2 - 4x + 1 = 0\)

Now, we must use the quadratic formula to find the rest of the solution.

\(x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}\\x = \frac{4\pm \sqrt{\left(-4\right)^2-4 \times 1 \times 1} }{2}\\\frac{4 \pm \sqrt{12} }{2} = 2 \pm 3\)

If one root of this polynomial [root] is 2 - √3, the other will be 2 + √3. Inversing that rule, the answer is 2 - √3.

Answer:

127.1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

127.1

Step-by-step explanation:

The rule is 5 or more raise the score. 4 or less just ignore. The number is 127.073 the number in the tenths place is 0 so you look to the next number. 7 is higher that 5 so you raise the zero to a one. The result is 127.1

Answer:

15

Step-by-step explanation:

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

0.204

Step-by-step explanation:

The formula to use to solve this is the combination formula.

Combination formula =

C(n, r) = nCr = n!/r! (n - r)!

Total number of kittens = 8 boy kittens + 9 girl kittens

= 17 kittens

Step 1

We find the probability of choosing 4 boy kittens out of 8 boy kittens

= 8C4 = 8!/4! × (8 - 4)!

= 8C4 = 8! / 4! × 4!

= 8C4 = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/ (4 × 3 × 2 × 1) × (4 × 3 × 2 × 1)

8C4 = 70

Step 2

We find the probability of choosing 7 girl kittens out of 9 girl kittens

9C7 = 9!/7! × (9 - 7)!

= 9C7 = 9! / 7! × 2!

= 9C7 = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/ (7 × 6 × 5 × 4 × 3 × 2 × 1) × (2 × 1)

9C7 = 36

Step 3

Find the probability of Picking 11 kittens out of 17 kittens

17C11 = 17!/11! × (17 - 11)!

= 17C11 = 17! / 11! × 6!

= 17C11 = 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/ (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) × (6 × 5 × 4 × 3 × 2 × 1)

17C11 = 12,376

Step 4

The final step

The probability that the director chooses 4 boy kittens and 7 girl kittens

= 8C4 × 9C7/ 17C11

= 70 × 36/12376

= 2520/12376

= 0.2036199095

Approximately to 3 decimal places = 0.204

Therefore, the probability that the director chooses 4 boy kittens and 7 girl kittens is 0.204

Step-by-step explanation:

step in image

a = 1

b = 7

thank you

Answer:

0.11pounds

Step-by-step explanation:

Given parameters:

Quantity of walnuts bought = 2.7pounds

Cost = $25.54

The domain of the given function would be -

- 5 ≤ x < 3.

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given is the graph of the linear equation as shown in the image.

Domain represents the set of values along the {x} - axis.

So, we can write -

- 5 ≤ x < 3

Therefore, the domain of the given function would be -

- 5 ≤ x < 3.

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The logarithmic regression equation that models the situation is given as follows:

y = 242.9037 + 23.7097ln(x).

The estimated population in 2010 is of:

313.9 million

Which overestimates the actual amount by 5.2 million.

The prediction for when the population will be of 400 million is of:

Year of 2,744.

The logarithmic regression equation is obtained inserting the points of the data-set into a logarithmic regression calculator.

From the table given by the image at the end of the answer, the points are given as follows:

(0, 248.8), (10, 281.4), (20, 308.7), (30, 331.4), (31, 331.9).

Inserting these points into a calculator, the equation is given as follows:

y = 242.9037 + 23.7097ln(x).

2010 is 20 years after 1990, hence the estimate is given as follows:

y = 242.9037 + 23.7097 x ln(20) = 313.9 million.

The overestimate of the actual value, from the table, is of:

313.9 - 308.7 = 5.2 million.

The prediction for when the population will be of 400 million is obtained as follows:

400 = 242.9037 + 23.7097 x ln(x)

ln(x) = (400 - 242.9037)/23.7097

ln(x) = 6.6258.

x = e^(6.6258)

x = 754.

Hence during the year of 2,744.

The table is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

Which number is the largest?

The first one is the largest as it has the greatest power

We are asked to determine polynomic functions which graph resembles the given letters.

For the letter U we will use a second-degree polynomial, which means a polynomial of the form:

Is we take the values of "a" and "b" to be:

We get the function:

The graph is the following:

Now, to determine a function that resembles the letter N we will use a polynomic function of third-degree, this means a function of the form:

We will use the following values for the constants:

Substituting we get:

The graph of the function is:

To determine a polynomial that resembles the letter "m" we will use a polynomial that has 3 x-intercepts and the end-points are pointing down. This means that the function is of the form:

The middle term has a square because we want the middle intercept to be tangent to the x-axis. Giving values to the constant we get:

The graph of the function is:

Now, we determine a function that resembles the letter "W". We will use a polynomial with two intercepts that are tangent to the x-axis and the end behavior must be upwards. Therefore, the function must be of the form:

We will use a = -1 and b = 1:

The graph is:

Answer:

1. DB=16

2. AC=15

4.BC=20

5. BC=20

Step-by-step explanation:

1. BD/CD=CD/AD  ⇒ x/12=12/9 ⇒   x=\(\frac{12*12}{9}\)=16

2.BC=\(\sqrt{12^{2}+x^{2} }\)=\(\sqrt{144+256}\)=20

  AC/CB=AD/CD ⇒ AC=\(\frac{9*20}{12}\)=15

4.BC/CA=CD/AD ⇒BC=\(\frac{15*12}{9}\)=20

5. BC=\(\sqrt{12^{2} +x^{2} }\)=20

Answer:

(0, 2)

Step-by-step explanation:

In the given case, each loaf of bread contains 25/18 cups of flour.

To find how many cups of flour are in each loaf of bread, we need to divide the total amount of flour by the number of loaves.

First, let's convert the mixed numbers to improper fractions:

\(2 2/3 cups = 8/3 cups\)

\(1 1/2 cups = 3/2 cups\)

Next, we can add the two fractions to find the total amount of flour:

8/3 cups + 3/2 cups = (16/6 + 9/6) cups = 25/6 cups

So, the recipe requires 25/6 cups of flour to make 3 loaves of bread.

To find the amount of flour in each loaf, we divide 25/6 cups by 3:

(25/6 cups) / 3 = 25/18 cups

Therefore, each loaf of bread contains 25/18 cups of flour.

Alternatively, we could simplify the mixed numbers at the beginning:

2 2/3 cups = 8/3 cups

1 1/2 cups = 6/4 cups

Then we can add the fractions:

8/3 cups + 6/4 cups = (32/12 + 18/12) cups = 50/12 cups

Finally, we can divide by 3 to find the amount of flour in each loaf:

(50/12 cups) / 3 = 25/18 cups

So the answer is the same.

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Answer:

3. 56.8 inches

4. 314.2 yards

5. 1809.6 meters

6. 265 centimeters

The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

9/2

Step-by-step explanation:

Divide: 3/

5

: 2/

3

= 3/

5

· 3/

2

= 3 · 3/

5 · 2

= 9/

10

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/

3

is 3/

2

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - three fifths divided by two thirds = nine tenths.

Answer:

C. x 0 1 2 p(x) 0.35 0.60 0.05

Step-by-step explanation:

50% chance of survival

Let:

x = older eaglet survive

y = younger eaglet survive

Hence,

P(x = 0) (none of the eaglet survive)

P(x = 1) (only one survive)

P(x = 2) (both survive)

P(x) = 0.5

P(x') = 1 - 0.5 = 0.5

P(x n y) = 0.5 * 0.1 = 0.05 ( both survive)

P(only one survive)

P(y n x') + p(y' n x)

(0.5 * 0.3) + (0.5 * (1 - 0.1))

0.15 + 0.45 = 0.6

P(none survives)

1 - (0.60 + 0.05)

= 0.35

X _______ 0 ______ 1 ______ 2

P(x) ____ 0.35 ____ 0.60 ___ 0.05

The probability distribution of the number of eaglets is the set of the

probabilities of the number of surviving eaglets.

The table that shows the probability distribution is the option C;

\(C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}\)

Reasons:

The probability that the older eaglet survives P(O) = 0.5

Therefore;

The probability that the older eaglet does not survives P(O') = 1 - 0.5 = 0.5

The chance of survival of the younger eaglet, where the older eaglet survives P(Y|O) = 10%

Therefore;

The chance that the younger eaglet does not survive, where the older eaglet survives P(Y'|O) = 1 - 10% = 90%

The chance of survival of the younger eaglet, where the older eaglet does not survives P(Y|O') = 30%

Therefore;

The chance that the younger eaglet does not survive, where the older eaglet does not survives P(Y'|O') = 1 - 30% = 70%

The probability distribution, P(X) is the set of possible probability of the number of eaglets that survive, which is given as follows;

The set of possible outcomes are;

Non survives:

Only one survives:

Both survives:

The table of the probability distribution is therefore;

\(C. \ \overline{\underline{\begin{array}{|c|c|c|c|}x&0&1&2\\P(x)&0.35&0.60&0.05\end{array}\right] }}\)

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Answer:

.6 tsp

3 x .2 = .6

Answer:

28 and 30

Step-by-step explanation:

'x' = 1st consecutive #

'x+2' = 2nd consecutive #

x + x+2 = 58

2x + 2 = 58

2x = 56

x = 28

x+2 = 30

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

It's ' C '

- 541