A there are 3 red pen pens, 4 blue pens, and 5 green pens in a drawer. suppose you choose a pen at random

thanks in advance~​

Answer:

dogs sold = 6

burgers sold = 11

Step-by-step explanation:

B = 2H-1

1.50H + 2.00B = 31.00

substitute for B

1.5H + 2(2H-1) = 31

1.5H + 4H-2 = 31

5.5H = 33

H = 6

B = 11

Answer:

Q6. 48     Q7. 49

Step-by-step explanation:

The green bar on question 6 is lined up to 48 units

The green bar on question 7 is lined up to 49 units

a) The upper bound of the 95% confidence interval is given as follows: 1024 hours.

b) The lower bound of the 95% confidence interval is given as follows: 1004 hours, which is the same difference from the mean as the upper bound, just below the mean.

We use the t-distribution to obtain the confidence interval when we have the sample standard deviation.

The equation for the bounds of the confidence interval is presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The parameters for this problem are given as follows:

\(\overline{x} = 1014, s = 25, n = 25\)

The lower bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1004.

The upper bound of the interval is then given as follows:

1014 - 2.0639 x 25/5 = 1024.

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The answer is 1004.

Given data: $n=25$, $\bar{x}=1014$ and $\sigma=25$.

The sample mean $\bar{x}$ = 1014 and sample size n = 25We can construct 95% confidence interval as follows:Step 1: Find the sample mean $\bar{x}$ = 1014Step 2:

Find the standard error,SE = $\frac{\sigma}{\sqrt{n}}$ =$\frac{25}{\sqrt{25}}$=5Step 3: Find the margin of error,

ME = $z_{\frac{\alpha}{2}}$ x SE , where $\alpha$=0.05, z-value for 0.025 = 1.96ME=1.96 x 5 = 9.8Step 4: Find the lower and upper limit for the confidence interval.

Lower limit = $\bar{x}$ - ME= 1014 - 9.8= 1004.2Upper limit = $\bar{x}$ + ME= 1014 + 9.8= 1023.8Thus the 95\% two-sided confidence interval is $(1004,1024)$.Lower-confidence bound on the mean life with 95% CI is:

Lower confidence bound = $\bar{x}$ - $z_{\alpha}$ x $\frac{\sigma}{\sqrt{n}}$=1014 - 1.96 x $\frac{25}{\sqrt{25}}$=1014-1.96x5=1004.2.

Comparing the lower bound of this confidence interval with the one in part (a), the lower bound in part (b) is the same as the lower limit in part (a). Therefore, the answer is 1004.

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The amount of volume inside the prism that is outside the pyramid is 36 m².

option B.

The volume of a prism is calculated by multiplying the area of the base of the prism by the height of the prism. Mathematically, the formula for the volume of a prism is:

Volume of Prism = Area of Base x Height

The base of a prism can be any shape, such as a rectangle, triangle, or even a hexagon, as long as all the sides of the base are parallel to each other. The height of the prism is the perpendicular distance between the two parallel bases.

The volume of the triangular base prism given is calculated as follows;

Volume of Triangular Prism = (1/2) x B x h x H

Volume of Triangular Prism = ¹/₂ x 3 m x 4 m x 6 m

                                              = 36 m²

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The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

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The graph for the question is attached.

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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Using Heron's formula, the area of the porch is 294 squared feet

To calculate the area of the porch, we need to use Heron's formula which is given as;

Heron's formula is a mathematical formula used to calculate the area of a triangle when the lengths of all three sides are known. It is named after the ancient Greek mathematician Heron of Alexandria. The formula is:

Area = sqrt(s(s-a)(s-b)(s-c)),

where s is the semi-perimeter of the triangle (s = (a+b+c)/2) and a, b, and c are the lengths of the three sides.

Substituting the values into the formula;

s = (21 + 28 + 35) / 2

s = 84 / 2

s = 42

Using the value of s

A = √42(42 - 21)(42 - 28)(42 - 35)

A= 294

The area is 294 ft²

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The probability would be 7/12.

Here, we have,

Consider A is the event that there is snowing in first three days and B is the event that there is snowing in next four days.

According to the question,

P(A) = 1/3

P(B)= 1/4

Thus, the probability that it snows at least once during the first week of January

= snow in first three days or snow in next four days

= P(A∪B)

=P(A) + P(B) - P(A∩B)

 ( ∵ A and B are independent ⇒P(A∩B) = 0  )

=1/3 + 1/4

=7/12

Hence, The probability would be 7/12.

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Answer: 55 square feet

Step-by-step explanation:

To find area:
Length * Width

11 * 5 = 55

Answer: 55 sq. feet

explanation : 5 x 11 is 55, so 55 square feet

The line segment from (−3, 6, 0) to (−1, 7, 4) can be parameterized as:

r(t) = (-3, 6, 0) + t(2, 1, 4)

where 0 <= t <= 1.

Using this parameterization, we can write the integrand as:

xyz^2 = (t(-3 + 2t))(6 + t)(4t^2 + 1)^2

Now, we need to find the length of the tangent vector r'(t):

|r'(t)| = sqrt(2^2 + 1^2 + 4^2) = sqrt(21)

Therefore, the line integral is:

∫_c xyz^2 ds = ∫_0^1 (t(-3 + 2t))(6 + t)(4t^2 + 1)^2 * sqrt(21) dt

This integral can be computed using standard techniques of integration. The result is:

∫_c xyz^2 ds = 4919/15

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The composition of the alloy in weight percent is approximately 1.69% copper (Cu) and 98.31% platinum (Pt).

To find the composition of an alloy in weight percent, you need to determine the relative atomic weights of the elements involved and then use the given atomic percentages (at%) to calculate their weight percentages. In this case, we have 5 at% copper (Cu) and 95 at% platinum (Pt).

1. Find the atomic weights:
- Copper (Cu): 63.55 g/mol
- Platinum (Pt): 195.08 g/mol

2. Calculate the total mass of the alloy:
(5 at% Cu × 63.55 g/mol) + (95 at% Pt × 195.08 g/mol) = 317.75 + 18531.6 = 18849.35 g/mol

3. Calculate the weight percent of each element:
- Copper: (317.75 g/mol ÷ 18849.35 g/mol) × 100% = 1.69%
- Platinum: (18531.6 g/mol ÷ 18849.35 g/mol) × 100% = 98.31%

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The sequence shows that the numbers will be:

a. 10,26, 74, 218, 650.

b. 1,6,14,38 and 110.

a. First number = 10

2nd number = (3 × 10) - 4 = 26

3rd number = (3 × 26) - 4 = 74

4th number = (3 × 74) - 4 = 218

5th number = (3 × 218) - 4 = 650

b. First number = 1

2nd number = (1 × 10) - 4 = 6

3rd number = (3 × 6) - 4 = 14

4th number = (3 × 14) - 4 = 38

5th number = (3 × 38) - 4 = 110

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Rate of the jet in still Air is 716 miles per hour and

wind speed is 80 miles/hour.

The velocity of an item in relation to another observer is known as its relative velocity. It is the pace at which one item's relative location changes in relation to another object over time. When two bodies are travelling in opposing directions, their relative velocity is at its highest. They are approaching one another.

Let ‘X’ be speed of jet and

'Y’ be speed of Wind

Relative velocity when jet travels against wind: X - Y = ( 2544 / 4 ) = 636 miles/hour

Relative velocity when jet travels with wind is: X + Y = ( 3184 / 4 ) = 796 miles/hour

By adding these two equations we will get

2 X = 1432 or X = 716 miles /hour and

or, Y = 796 - 716 = 80 miles/hour

Hence,

Rate of the Jet in still Air is 716 miles per hour and

Wind speed is 80 miles/hour.

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Transformation involves changing the position and size of a shape

The pre-image and the image are neither congruent nor similar

From the question, we have the following transformation rule

\((x,y) \to (ax,by)\)

Where:

\(a \ne b\)

Because a and b do not have the same values.

It means that, the pre-image and the image are neither congruent nor similar

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The level of a independent variable known to as the "Control group" is designed to portray a neutral state.

The cause is the independent variable. Its value is unaffected by the other study variables.

You plan a study out whether variations in the room's temperature have an impact on students' math test results.

Consequently, "control group" refers to a level of such an independent variable that is meant to stand in for "no treatment" or a neutral circumstance.

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Answer:

Q'(-2 , 5)

Step-by-step explanation:

Note that:

1) When you are reflecting over the x-axis, you are changing the sign for the y.

2) When you are reflecting over the y-axis, you are changing the sign for the x.

In this case, you are reflecting over the y-axis. Change the sign of the x:

Q(2 , 5) ⇒ Q'(-2 , 5)

Q'(-2 , 5) is your answer.

~

Answer:

my educated guess is..

Step-by-step explanation:

50-17= 33

33+18 = 51

not sure if this is what you're looking for

Hope this helps! :)

Answer:

12 hours and 51 minuets.

Step-by-step explanation:

11:17 am -> 11:17 p.m. = 12 hrs.

11:17 p.m. + 33 min.= 11: 50 p.m.

11:50 p.m.+ 18 min.= 12:41 a.m.

12hours and (33+18) or 51 minuets.

Answer:

4 to the right on the x axes

Step-by-step explanation:

(1,2) and (5,2) are 4 away

Answer:

(4,0)

Step-by-step explanation:

Answer:

Your answer is A

Step-by-step explanation:

The reason is because 1/10 is 3 muffins so if it was 7/10 it would be 21 8/10 is 24 and 9/10 is 27 and 10/10 is 30 muffins

Answer: The answer is 30

Step-by-step explanation:

You do 21 x 10 and the answer is on top of 7: 120/7

Then do 120 divided by seven and there is your answer.

Answer:

F(3) = 2

Step-by-step explanation:

Got it right

The statistical range that takes random error into account, with a given probability, is known as the confidence interval. It provides a measure of uncertainty associated with a particular estimate or sample statistic. In the first paragraph, we'll provide a summary of the answer.

A confidence interval consists of two values, an upper and a lower bound, within which the true population parameter is likely to fall. The range is determined by the desired level of confidence, often expressed as a percentage (e.g., 95% confidence interval). The confidence interval considers both the variability within the sample data and the desired level of certainty. It acknowledges that due to random sampling error, the estimate obtained from a sample may differ from the true population parameter. In the second paragraph, we'll delve into an explanation of the answer.

To understand confidence intervals, we need to consider the concept of sampling variability. When we collect a sample from a population, it's rare for the sample to perfectly represent the entire population. There will be inherent variation due to random chance. This variability is known as sampling error. Confidence intervals take into account this sampling error and provide a range of values within which the true population parameter is likely to exist.

The level of confidence chosen for the interval represents the desired probability that the range will contain the true parameter. Commonly used confidence levels are 90%, 95%, and 99%. For example, a 95% confidence interval implies that if we were to repeat the sampling process many times, 95% of the resulting intervals would contain the true population parameter. The wider the interval, the higher the level of confidence, and vice versa.

In conclusion, a confidence interval is a statistical range that incorporates random error and provides an estimate of the likely range within which the true population parameter exists. It considers the desired level of confidence and takes into account the inherent variability due to random sampling error. Confidence intervals are an essential tool in statistical inference, allowing researchers and analysts to quantify the uncertainty associated with their estimates and draw meaningful conclusions from sample data.

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Answer:

\(f(-3)=-52\)

\(g(6)=-21\)

Step-by-step explanation:

\(f(x)=2x^3+2\)

\(g(x)=-3x-3\)

\(f(3)=2(-3)^3+2=2(-27)+2=-54+2=-52\)

\(g(6)=-3(6)-3=-18-3=-21\)

Let's say we add 'x' red candies and 'y' blue candies to the bag to create the desired ratio of 3 to 2:

Then, the total number of red candies in the bag will be 5 + x, and the total number of blue candies will be 1 + y.

According to the problem, the ratio of red candies to blue candies should be 3 to 2:

(5 + x) / (1 + y) = 3/2

Cross-multiplying this equation, we get:

2(5 + x) = 3(1 + y)

Simplifying this equation, we get:

10 + 2x = 3 + 3y

2x - 3y = -7

We want to find the least number of red and blue candies that can be added to the bag to satisfy this equation.

One way to do this is to try different values of x and y that satisfy the equation until we find the smallest possible values that work.

For example, we can start by setting x = 1 and y = 2:

2(5 + 1) = 3(1 + 2)

12 = 9

This doesn't work, so let's try another set of values, x = 4 and y = 5:

2(5 + 4) = 3(1 + 5)

18 = 18

This set of values works, so we have found the least number of red and blue candies that can be added to the bag to create a ratio of 3 to 2 for the number of red candies to the number of blue candies:

We need to add 4 red candies and 5 blue candies to the bag to create a ratio of 3 to 2 for the number of red candies to the number of blue candies.

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The Pythagorean identity if tan ( x ) = 5 9 (in quadrant-i),  cos(2x) = 56/53.

If tan(x) = 5/9 in quadrant I, we can use the Pythagorean identity to find cos(x):

cos(x) = 1/sqrt(1 + tan^2(x)) = 9/√(5^2 + 9^2) = 9/√106.

To find cos(2x), we can use the double angle formula for cosine:

cos(2x) = 2cos^2(x) - 1 = 2(9/√106)^2 - 1 = (162/106) - 1 = 56/53.

Therefore, cos(2x) = 56/53.

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