To make 3/4 pound it makes nuts how many pounds of cashews would you add to 1/8 pound them almonds and 1/4 pound of peanuts

The mean number of tosses until we stop is 6 and the probability of stopping with HHT followed by a T before HH = 1/16.

(a) To find the mean number of tosses until you stop, we can use a recursive approach. Let E be the expected number of tosses until we stop. If the first toss is a head, then we must get another head in the next toss or stop with two heads. The expected number of tosses in this case is 2 (one for the first head and one for the second head). If the first toss is a tail, then we must get another tail in the next toss or stop with two tails. The expected number of tosses in this case is also 2. Therefore, we have:

E = 1 + 1/2(E) + 1/2(E)

Solving for E, we get E = 6, so the mean number of tosses until we stop is 6.

(b) To stop with two heads in a row, but see a second tail before a second head, we must have the following sequence of tosses: HHT. The probability of this sequence is

(1/2)(1/2)(1/2) = 1/8

The next toss must be a T, which has probability 1/2.

Therefore, the probability of stopping with HHT followed by a T before HH is (1/8)(1/2) = 1/16.

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Answer:

The length of the ladder  = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

 From right angle triangle

     x = 16 × cos 68°

    x = 16 × 0.4067

    x = 6.5077

  x = 6.5 ft

The length of the ladder = 6.5 ft

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

\( \tan(41°) = \frac{26}{x} \)

\(0.869 \times x = 26\)

\(x = \frac{26}{0.869} \)

Therefore, The value of x is 29.90.

Hope it helps...

The equation of the quadratic graph with a focus of (5,-1) and a directrix of y=1 is (x - 5)^2 = 4(y + 1).

For a quadratic graph, the focus and directrix determine its shape and position. The focus is a point that lies on the axis of symmetry, while the directrix is a line that is perpendicular to the axis of symmetry. The distance between any point on the graph and the focus is equal to the distance between that point and the directrix.

1) Determine the axis of symmetry.

Since the directrix is a horizontal line (y=1), the axis of symmetry is a vertical line passing through the focus, which is x = 5.

2) Determine the vertex.

The vertex is the point where the axis of symmetry intersects the graph. In this case, the vertex is (5,0), as it lies on the axis of symmetry.

3) Determine the distance between the focus and the vertex.

The distance between the focus (5,-1) and the vertex (5,0) is 1 unit.

4) Determine the equation.

Using the vertex form of a quadratic equation, (x - h)^2 = 4p(y - k), where (h,k) is the vertex and p is the distance between the vertex and the focus, we substitute the values: (x - 5)^2 = 4(1)(y - 0).

Simplifying the equation, we get (x - 5)^2 = 4(y + 1).

Hence, the equation of the given quadratic graph is (x - 5)^2 = 4(y + 1).

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Answer:

Circumference = 25.14 cm

Area = 50.28 cm²

Step-by-step explanation:

∴ Circumference = 2πr

⇒C = (2) (22/7) (4)

⇒C = 25.14 cm

∴ Area = πr²

⇒A = (22/7) (4)²

⇒A = 50.28 cm²

Hope that helps...

Answer:

Cut the prism into 2 parts like the picture below

Name the upper part A, and the lower part B

Calculate the volume of part A:

12 - 8 = 4 cm

4 * 5 * 6 = 120 \(cm^{3}\)

Calculate the volume of part B:

15 * 8 * 6 = 720 \(cm^{3}\)

Volume of the whole prism:

Volume of part A + volume of part B

120 + 720 = 840 \(cm^{3}\)

Answer:840 cm squared

Step-by-step explanation:

TRUE. As one performs multiple separate hypothesis tests, the risk of committing a Type I error (rejecting a true null hypothesis) accumulates.

This overall risk is referred to as the experiment-wise alpha level or family-wise error rate (FWER). It represents the probability of making at least one Type I error among all the conducted tests.

When multiple hypothesis tests are performed simultaneously or sequentially, the individual alpha levels (typically set at 0.05) for each test may no longer be appropriate. This is because if we conduct, for example, 20 separate tests with an alpha level of 0.05 for each test, the cumulative chance of committing at least one Type I error can be much higher than the desired 5%.

To control the experiment-wise error rate, various multiple comparison procedures and adjustments can be employed, such as the Bonferroni correction or the Holm-Bonferroni method. These methods aim to maintain a desired level of significance for the entire set of tests, reducing the risk of accumulating Type I errors.

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Answer:

9867x5388=53163396

Step-by-step explanation:

Answer:

53163396 is the answer

Probability or p-vale that the sample mean would differ from the population mean by less than 221 miles in a sample of 56 tires is equals to zero if the manager is correct.

We have data of an operation manager at a tire manufacturing company.

Mean mileage of a tire, \( \mu\)

= 37,014 miles

standard deviation, \( \sigma\)

= 4617 miles.

Sample size, n = 56

We have to determine the probability that the sample mean would differ from the population mean by less than 221 miles. Using Z-score formula in normal distribution, \(\small z= \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}},\)

Plugging all known values in above formula, \(z = \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}\)

= 59.634

\(P( \bar x < 221) = P ( \frac{ \bar x-\mu }{\frac{\sigma }{\sqrt{n}}} < \frac{ 221 - 37,014} {\frac{4617}{ \sqrt{56}}}) \\ \)

=> P ( z < 59.63) = P( \bar x < 221)

Using the Z-distribution table, probability value is equals to 0. Hence, required probability is zero.

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The width of the parking lot is 78 m

We have been given the perimeter of a rectangular parking lot which is equal to 350 m.

We know the perimeter of a rectangular plot is 2 X (width of the plot ) + 2 X (length of the parking lot ).

And the length of the parking lot is given as 97 m.

2 X (width of the plot ) +2 X (length of the parking lot ) =350 m

2 X (width of plot ) + 2 X 97 =350

2 X (width of the plot ) =156 m

width of the plot = 78 m

Hence the width of the plot is 78 meters.

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The width of this rectangular parking lot is equal to 78 meters.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following:

P = 2(L + W)

350 = 2(97 + W)

175 = 97 + W

Width, W = 175 - 97

Width, W = 78 meters.

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Measure of x :

\(\longrightarrow4 \sqrt{5} \: \: units\)

Measure of y :

\(\longrightarrow8 \sqrt{5} \: \: units\)

\(\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps }}{\orange{....}}}}}\)

Answer:

-7 and -4

Step-by-step explanation:

try and poin them on a graph

c because the center of dilation is the multiplicatory value of the original point

Therefore, the correct answer is: O within subjects and error. In a one-way within subjects ANOVA (repeated measures ANOVA), SS within is analyzed into two components: within subjects and error.

Within subjects: This component of SS within represents the variability or differences observed within each participant across different treatments or conditions. It examines the effect of the treatments within each participant. Essentially, it captures the differences in responses within the same participants under different conditions. This component reflects the variability in scores within each participant.

Error: The error component of SS within represents the random variability or individual differences that cannot be attributed to the treatments or conditions being studied. It accounts for the variability that is not explained by the effects of the treatments and is often considered as random error or noise in the data. The error component is the residual variability that remains after accounting for the within-subjects effects.

Therefore, the correct answer is: O within subjects and error. These two components capture the variability within participants due to the treatments (within subjects) and the random variability or unexplained differences (error) that cannot be attributed to the treatments.

Between subjects or between treatments are not components of SS within in a one-way within subjects ANOVA. Between subjects variability refers to the differences or variability observed between different participants and is typically analyzed separately as SS between or SS subjects.

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Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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The  3 examples of quadratic equations written in standard form is:

(1) a\(x^2\) + bx + c = 0

(2) a\((x - h)^2\) + k = 0

(3) a (x - p)(x - q) = 0

a\(x^2\) + bx + c = 0 is the quadratic equation's standard form, where 'a' is the leading coefficient and a non-zero real number. Due to the word "quad" meaning "square," this equation, whose degree is 2, is referred to as "quadratic." A quadratic equation can be expressed in other ways in addition to the usual form.

Vertex Form: a\((x - h)^2\) + k = 0

Intercept Form: a (x - p)(x - q) = 0

\(ax^2 + bx + c = 0\), where a 0 and a, b, and c are real numbers, is the conventional form of a quadratic equation with a variable x.

a is the \(x^2\) coefficient, b is the x coefficient, c is the constant.

In this case, b and c might either be zeros or non-zero values.

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Answer:

a = 20

b = 10

Or if in coordinate format, (20,10)

Step-by-step explanation:

\(\left \{ {{4a-3b=50} \atop {5a-2b=80}} \right.\)

Solve the system using elimination:

In elimination, you want to eliminate a term. I want to eliminate b, so what I would do is to get it the same coefficient (LCM)

Now, plug in 20 for an into any of the original equations

The solution of the system is written as a coordinate, in alphabetical order. Since the variables are a and b, you write it as (a,b).

The solution is \(\boxed{(20,10)}\)

-Chetan K

Answer:

1.75

Step-by-step explanation:

1 3/4 = 1 + 3/4

We all know that 3/4 is 3 divided by 4.

So... 1 3/4 = 1 + (3 divided by 4)

= 1 + 0.75 = 1.75

Step-by-step explanation:

If the area of the bean field is 440ft^2 and each bag of fertilizer covers 100 ft^2, then Farmer Bob will need:

440 ft^2 / 100 ft^2 per bag = 4.4 bags of fertilizer

Since Farmer Bob can't buy a fraction of a bag, he will need to round up to 5 bags of fertilizer.

The total cost of the fertilizer will be the number of bags multiplied by the cost per bag, which is $5.50. Therefore, the total cost of the fertilizer will be:

5 bags x $5.50 per bag = $27.50

Answer:

X=6 y=3 point form (6,3)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

I just took the test and got 100%

Answer: 13. 30

Step-by-step explanation:

13. Area = 18x * 10y = 180xy

Length = 6th

With ?

180xy = 6xy x width

180 x/6xy

Width = 30

14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver

3^5

The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

What is the discriminant of a polynomial?

The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.

It is represented as ‘D’

D = b² - 4ac

Where,

a is the coefficient of x²

b is the coefficient of x

c is a constant term

x² + 5x + 4 = 0

We have given:

x² + 5x + 4 = 0

Comparing the equation with the standard form.

a = 1, b = 5 and c = 4

Substituting it in the formula

D = 5² - 4 × 1 + 4

By further calculation

D = 25 - 16

D = 9,

The quadratic roots are real and distinct

Therefore, the value of b² - 4ac is 9.

Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.

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Answer:

6 hours

Step-by-step explanation:

Research is 5%, Games is 25%, so the diffrence is 20%

20%  of 30 hours = 30 x2/10 = 6 hours

Tremaine played 6 hours more video games than research.

Answer:

F

Step-by-step explanation:

We can use a proportions to solve this problem:

time of researches (in percentages 100% is used to indicate the total)

5 : 100 = x : 30

x = (5 * 30)/ 100 = 1.5

time of games

25 : 100 = x : 30

x = (25 * 30)/100 = 7.5

7.5 - 1.5 = 6 hours

Answer:

3(7b+6)

Step-by-step explanation:

Simply find the greatest common factor between 21b and 18, which is 3. Then that's your simplest factorized expression.

A circle is the locus of points in a plane that are equidistant from one point, known as the center.

In geometry, a circle is a two-dimensional figure that consists of all points in a plane that are at an equal distance, called the radius, from a fixed point called the center. The distance from the center to any point on the circumference of the circle is always the same.

This property makes circles useful in various fields, such as mathematics, physics, and engineering. Circles have several important characteristics, including a diameter (the longest chord that passes through the center), a circumference (the boundary of the circle), and an area (the measure of the space enclosed by the circle).

The equation of a circle in the Cartesian coordinate system is (x - a)^2 + (y - b)^2 = r^2, where (a, b) represents the center coordinates and r represents the radius of the circle.

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Answer:

2.838

Step-by-step explanation:

put it in the calculator.

Answer:2

Step-by-step explanation:i did it

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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