Please help me I will give u 10 points!!

We know that the probability of getting a head in a single coin is:

Now, we can calculate the probability of X out of N coins landing heads up with the binomal distribution:

With p = 0.5 and N = 4, we get:

Subtituting X = 1 ("getting one head"), we get that:

Answer:B

Step-by-step explanation:I hope it help

Point K from Figure 1 corresponds to Figure 2 is B.

The correct option is B.

As per the given information,

Figure 1 and Figure 2 are provided in the diagram.

Figure 2 is a scale copy of Figure 1.

Here, scale copy can be described as congruent figures.

So, Point K from Figure 1 corresponds to Figure 2 is B.

From the given choices, the correct option is B.

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Answer:

Step-by-step explanation:

\(we \ can \ show \\(a^{b})^{c}=a^{bc}\\,as,\\2^{-2}t^{6}\\a^{-b}=\frac{1}{a^{b}}\\2^{-2}t^{6}=\frac{1}{4}t^{6}\)

Answer:

See below.

Step-by-step explanation:

We are asked to simplify the given expression.

Let's begin by identifying an important rule. Because there's a negative exponent and a negative exponent outside of the parentheses, we multiply the exponents and the product will be a positive exponent.

We also need to remember that the exponent outside of the parentheses acts on everything inside the parentheses.

Evaluate:

\((2t^{-3} )^{-2} = 2^{-2} \times t^{6}.\)

Further Evaluate:

\(2^{-2} = \frac{1}{2^2} = \frac{1}{4}. \\t^{6} = t \times t \times t \times t \times t \times t.\)

Multiply:

\(t^{6} \times \frac{1}{4} = \frac{t^{6} }{4} \ or \ \frac{1}{4} (t^6) .\)

We can't simplify any further.

Therefore, our final answer is \(\frac{t^{6} }{4} \ or \ \frac{1}{4} (t^6).\)

Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop

To average 64 miles per hour for the whole trip, Justin must complete the 144-mile distance and the 15-minute stop in a total of 144 minutes (2 hours and 24 minutes) or less.

If we subtract the 15 minutes stop from the total time, Justin will have to cover the 144 miles in 129 minutes (2 hours and 9 minutes) or less.

To determine the required speed, we can use the formula:

\(speed = \frac{distance }{time}\)

So,  \(speed = \frac{144 miles}{129 minutes}=1.12 miles per minute\)

To convert this to miles per hour, we can multiply by 60:

1.12 miles per minute x 60 minutes per hour = 67.2 miles per hour

Therefore, Justin must drive at least 67.2 miles per hour (rounded to one decimal place) to average 64 miles per hour for the whole trip, including the 15-minute stop.

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The absolute value of a number is its distance from zero on the number line. It provides the positive value of a number, disregarding its sign.

In mathematics, the absolute value is a function that gives the distance of a number from zero on the number line. It is denoted by the symbol "| |" or two vertical bars. The absolute value of a number "a," denoted as |a|, is defined as follows:

If "a" is positive or zero, then |a| = a.

If "a" is negative, then |a| = -a.

In simpler terms, the absolute value of a number disregards its sign and returns the magnitude or distance of the number from zero. It represents the positive value of the number, regardless of whether the original number was positive or negative.

For example:

The absolute value of 5 is |5| = 5, since 5 is already positive.

The absolute value of -7 is |-7| = 7, since the negative sign is removed, and the resulting value is positive.

The absolute value of 0 is |0| = 0, as it is equidistant from zero in both directions.

The absolute value function is useful in various mathematical concepts, such as solving equations involving inequalities, finding the distance between two numbers, defining the magnitude of vectors, and determining the modulus of complex numbers.

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Answer:

1) 2 and 4

2) 3 and 4

3) 7 and 8

4) 9 and 10

5) 21 and 22

Step-by-step explanation:

#1

Since √(8) = √(2×4) = 2√2

then the √(8) lies between 2 & 3

#2

Since √(9) = 3 & √(16)= 4

then √(14) lies between 3 & 4

#3

√(60) = √(4×15) = 2√(15)

  since √16 = 4 and 4 × 2 = 8

  then 2√(15) < 8

∴ the √16 lies between 7 & 8

#4

√99 = √(9×11) = 3√11

√11 lies between √9 & √16 but closer to √9

   & 3 × √16 = 12

the 3√11 = √99  likely lies between 9 & 10

#5

√444 = √(4×111)= 2√111

since √100 = 10 & √121 = 11

& 2×10= 20 & 2×11= 22

then 2√111 is likely between 21 & 22

Answer:

jwbfbeue

Step-by-step explanation:

fhhfhfhf

Answer:

this is about a 45 degree angle

Step-by-step explanation:

Answer:

code = 56

Step-by-step explanation:

E = GCF(22,30) = 2

F = LCM(3,8) = 24

Given

3 * (7+10) = G +30 => 51 = G + 30 => G = 21

5 * (3+H) = 15 + 45 => 3+H = (60/5)  = 12 => H = 12 - 3 = 9

Sum E + F + G + H = 2 + 24 + 21 + 9 = 56

Answer:

code would be 56

Step-by-step explanation:

hope this helps mate !

The area of the surface with parametric equations x = u², y = uv, z = 1/2v², 0 ≤ u ≤ 4, 0 ≤ v ≤ 1 is 64/3 square units.

To find the area of the surface, we need to calculate the surface integral of the vector function r(u, v) = u²i + uvj + 1/2v²k over the region R: 0 ≤ u ≤ 4, 0 ≤ v ≤ 1.

The surface integral can be calculated as:

∬_R ||r_u × r_v|| dA

Where r_u and r_v are the partial derivatives of r with respect to u and v, and dA is the area element of the surface.

Computing the partial derivatives, we get:

r_u = 2ui + vj

r_v = ui + vk

Taking the cross product of the partial derivatives and computing the magnitude, we get:

||r_u × r_v|| = ||2vki - vuj + u²j - uki + uv²i|| = sqrt(u⁴ + u²v² + v²)

Integrating over the region R, we get:

∫∫_R sqrt(u⁴ + u²v² + v²) dA

Using the change of variables u = rw and v = z/r, we get:

∫∫_S sqrt(r⁴w⁴ + r²z² + z²) r dz dw

Integrating with respect to z from 0 to r√(16 - w²), then integrating with respect to w from 0 to 4, we get:

∫_0^4 ∫_0^(√(16-w²)) sqrt(r⁴w⁴ + r²z² + z²) r dz dw

Using the substitution z = wrtan(θ), we get:

∫_0^4 ∫_0^arctan(4√(1-w²/16)) sqrt(r²(1 + w²tan²(θ))) r sec²(θ) dθ dw

Evaluating this integral, we get the area of the surface as:

64/3

Therefore, the area of the surface with parametric equations x = u², y = uv, z = 1/2v², 0 ≤ u ≤ 4, 0 ≤ v ≤ 1 is 64/3 square units.

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Answer:

400

Step-by-step explanation:

718-331

= 387

Rounding off to the nearest hundredth the answer is 400

Answer:

Number of small boxes Sam made = Total piece of wood bought / Piece of wood used for each small box

Step-by-step explanation:

Total piece of wood bought = 7/8 foot

Piece of wood used for each small box = 3/16 foot

Number of small boxes Sam made = Total piece of wood bought / Piece of wood used for each small box

= 7/8 foot ÷ 3/16 foot

= 7/8 × 16/3

= 7×16 / 8×3

= 112 / 24

= 4 16/24

= 4 2/3 small boxes

The equation is:

Number of small boxes Sam made = Total piece of wood bought / Piece of wood used for each small box

There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.

A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.

However, today, the percentage is higher.

A research group conducted a study to find out whether the statement was true.

They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.

Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05

At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.

Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).

H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).

Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).

It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.

Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).

The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.

The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.

Since the p-value was greater than 0.05, we failed to reject the null hypothesis.

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Step-by-step explanation:

Question 46.

\((2\sqrt{5}-\sqrt{2} )^2=(2\sqrt{5})^2-2*2\sqrt{5}*\sqrt{2} +(\sqrt{2})^2 } =4*5-4*\sqrt{2*5} +2=\\=20-4\sqrt{10}+2=22-4\sqrt{10}.\)

Answer: E. None of these.

Question 47.

\(\frac{4\sqrt{5} }{\sqrt{3} } =\frac{4*\sqrt{5}*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{4*\sqrt{5*3} }{3}=\frac{4\sqrt{15} }{3} .\)

Answer: E. None of these.

Answer:

45) E 47) E

Step-by-step explanation:

45)

Remember the formula \((a-b)^2=a^2-2ab+b^2\)

\((2\sqrt5-\sqrt2)^2=(2\sqrt5)^2-2(2\sqrt5\times\sqrt2)+(\sqrt2)^2\\\\=20-2(2\sqrt{10})+4\\\\=24-4\sqrt{10}\)

Hence E. None of these.

47)

\(\frac{4\sqrt{5}}{\sqrt3}=\frac{4\sqrt5\times\sqrt3}{\sqrt3\times\sqrt3}\\\\=\frac{4\sqrt15}{3}\)

Hence E. None of these.

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The difference in temperature was 23°C.


- The initial temperature was 17°C.
- After two hours in the freezer, the temperature was -6°C.
- To find the difference in temperature, we subtract the initial temperature from the final temperature.
- Final temperature minus initial temperature equals difference in temperature.
- (-6°C) - (17°C) = -23°C
- However, we are looking for the difference in temperature as a positive value.
- Therefore, we can take the absolute value of -23°C, which is 23°C.

To find the difference in temperature, we need to subtract the initial temperature from the final temperature.

Initial temperature = 17°C

Final temperature = -6°C

To subtract a negative number, we can add the absolute values of the two numbers and then add the negative sign to the result.

|-6| + |17| = 6 + 17 = 23

Therefore, the difference in temperature is 23°C.

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Answer:

77

Step-by-step explanation:

The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.

(The sum of the measures of the intercepted arcs)/2

(76+78)/2

154/2

77

The probability of getting a square number is given as 1 / 6

A square number is a number that can be written as the product of an integer multiplied by itself, such as 1, 4, 9, 16, etc.

To find the probability that the number obtained by multiplying the numbers on the two dice is a square number, we need to determine how many possible outcomes result in a square number.

The possible squares we can have are

1 * 1 = 1

2 * 2 = 2

3 * 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

Hence we would have the likelihood of getting 6 squares. The probability would be:

6 / 36

= 1 / 6

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Answer:

hondred thosend

Step-by-step explanation:

Answer:

The place value is the hundred thousands place.

Step-by-step explanation:

<3

Answer:

24 cm^2

Step-by-step explanation:

There are 6 sides on a cube.

If the length of a side is 2, then the area of a face is 4 because it is a square.

4 x 6 = 24.

Let A be a symmetric matrix that is invertible. This means that there exists a matrix B such that AB = BA = I, where I is the identity matrix. We want to show that B is also symmetric, that is, \(B = B^{T}\)

To prove this, we can use the definition of matrix inversion. We know that AB = I, so we can take the transpose of both sides:

\(AB^{T} = I^{T}\)

Using the transpose rules, we can rewrite this as:

\(B^{T} * A^{T}\) = I

Now, we can multiply both sides of this equation by A:

\(B^{T} * A^{T}\)* A = A

Since A is invertible, we can multiply both sides by A⁻¹ to get:

\(B^{T}\) = A⁻¹

Therefore, we have shown that the inverse of a symmetric matrix A, which we denote as A⁻¹, is also symmetric, since A⁻¹ = \(B^{T}\), which is the transpose of the matrix B.

Hence, we have proved that if a symmetric matrix is invertible, then its inverse is symmetric as well.

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The circulation as a function of time is given by C(x) = 200x + 3400. The circulation 2 months from now will be 3800 units, and the circulation will reach 6734 newspapers after approximately 16.67 months.

a) The circulation can be expressed as a linear function of time. Let C(x) represent the circulation after x months. We are given that three months ago the circulation was 3400, and today it is 4400. So, we can use the two points (0, 3400) and (3, 4400) to find the equation of the line. Using the formula for the equation of a line, we have:

C(x) = mx + b

Substituting the values (0, 3400) and (3, 4400) into the equation, we can solve for m and b. This gives us:

C(x) = 200x + 3400

b) To find the circulation 2 months from now, we substitute x = 2 into the equation C(x):

C(2) = 200(2) + 3400

C(2) = 400 + 3400

C(2) = 3800 units

c) To find when the circulation will reach 6734 newspapers, we set C(x) equal to 6734 and solve for x:

6734 = 200x + 3400

200x = 6734 - 3400

200x = 3334

x = 3334/200

x = 16.67

Therefore, the circulation will reach 6734 newspapers after approximately 16.67 months.

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Answer:

scale facor is 1/3

Step-by-step explanation:

All the correct values for triangles are,

∠ A = ∠ Z

∠ B = ∠ Y

∠ C = ∠X

AB ≅ XZ

AC ≅ ZY

CB ≅ XY

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles below are congruent and their corresponding parts are marked.

Hence, By deifnition of similarity,

Their corresponding sides and angles are equal.

Hence, We get;

All the correct values for triangles are,

∠ A = ∠ Z

∠ B = ∠ Y

∠ C = ∠X

AB ≅ XZ

AC ≅ ZY

CB ≅ XY

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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There are 15 rows of seats in the theater

The given parameters are:

The number of rows is calculated as:

Rows = Total number of people/People per row

This gives

Rows = 357/24

Evaluate the quotient

Rows = 14.875

Round up the number

Rows = 15

Hence, there are 15 rows of seats in the theater

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Answer:

\(P=\dfrac{n}{n+12}\)

Step-by-step explanation:

Number of non-fiction books = n

Number of fiction books = 12

We need to find the probability of selecting a nonfiction book, in terms of n.

Total no of books = non-fiction books + fiction books

= n+12

Probability = favourable outcomes/total no of outcomes

Here, favourable outcomes = n

So,

\(P=\dfrac{n}{n+12}\)

Hence, the probability of selecting a non-fiction is \(\dfrac{n}{n+12}\).

It indicates that the test is highly accurate in correctly identifying individuals with hepatitis C (high sensitivity) and accurately ruling out individuals without the disease (high specificity).

Sensitivity and specificity are two important measures of a diagnostic test's performance. Sensitivity refers to the test's ability to correctly identify individuals who have the condition, while specificity refers to its ability to correctly identify individuals who do not have the condition.

In the case of the ELISA test for hepatitis C, a sensitivity of 95% means that the test will correctly identify 95% of individuals who actually have hepatitis C as positive. This indicates a high probability of detecting the disease when it is present.

On the other hand, a specificity of 90% means that the test will correctly identify 90% of individuals who do not have hepatitis C as negative. This suggests that there is a 10% chance of a false positive result, where individuals without the disease are mistakenly identified as positive.

Overall, the high sensitivity and specificity of the ELISA test for hepatitis C make it a valuable tool in the diagnosis and screening of individuals for this infectious disease. However, it is important to consider that no test is 100% accurate, and false results can still occur. Therefore, additional confirmatory tests may be required in certain cases to ensure accurate diagnosis and appropriate medical intervention.

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The evaluation of the expression yields 9.3 for the given values of g = 15 and h=2.

It is defined as the combination of constants and variables with mathematical operators.

It is given that, the expression is 0.9g - 2.1h and g = 15, h=2.

Substitute the value of g and h in order to evaluate the expression,

=0.9g - 2.1h

=0.9(15)-2.1(2)

We have to apply the arithmetic operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Thus, The evaluation of the expression yields 9.3 for the given values of g = 15 and h=2.

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Answer:

c. 25

Step-by-step explanation:

According to the intersecting chords theorem, the product of the segments of a chord equals the product of the segments of the other chord it intercepts.

Thus:

3*x = 5*15

3x = 75

x = 75/3

x = 25