What is the variable in Samuel is six inches taller than his brother Elijah.if Samuel is 48 inches tall,how tall is Elijah

Step-by-step explanation:

The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.

Coordinates of centre can be find out by the midpoint formula.

\( \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}\)

Now the measure of radius can be obtained by half the distance between them.

\(\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}\)

We know the general equation of circle as ,

\(\implies (x-h)^2+(y-k)^2= r^2\)

\(\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}\)

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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The correct diagnosis code to report a tibial closed fracture, a proximal end, of the left leg, the initial encounter is A.S82.191A.

Explanation:

Diagnosis codes are used to accurately report a patient's condition or injury. The code S82.191A specifically refers to a closed fracture of the proximal end of the tibia on the left leg, with this being the initial encounter for treatment.

The other options, S82.191B, S82.102A, and S82.102B do not accurately describe the condition or injury in question. S82.191B refers to a subsequent encounter for the same injury, while S82.102A and S82.102B refer to a closed fracture of the right leg's upper end of the tibia.

Therefore, the correct answer is A.S82.191A.

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Answer:

  94.1 °F

Step-by-step explanation:

The formula is ...

  F = 9/5C +32

Using 34.5 for C, we get ...

  F = 9/5(34.5) +32 = 62.1 +32 = 94.1

34.5 °C = 94.1 °F

Answer:

The answer is =15s+6

Step-by-step explanation:

3(5s + 2)

=15s+6

Answer:

15s+6

Step-by-step explanation:

Use the distributive property and multiply the 3 to each of the terms in the second pair of parenthesis.

A. The margin of error for a 99% confidence interval is $$2,320.75.

B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75

PART A.

The margin of error (ME) is determined using the formula:

ME= z ∗ σ/√n

where:

z is the z-score for the desired confidence level

σ is the population standard deviation

n is the sample size

For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.

Substituting these values into the formula, we have:

ME =  2.576 ∗ 10272/√130

ME = $2,320.75

PART B

The confidence interval (CI) is determined using the formula:

CI = \(\bar{x}\) ± ME

where:

\(\bar{x}\) is the sample mean

ME is the margin of error

The sample mean is $44,783, and the margin of error is $2,320.75.

Substituting the values into the formula, we get:

CI= 44783 ± 2320.75

CI = $42,462.25 to $47,103.75

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Answer:

b = 94/79

Step-by-step explanation:

47/79 = x/2

79x = 94

x = 94/79

Answer:

D. 5, 6, 8, 9

Step-by-step explanation:

Simply plug in the x values into the function to find the y values:

y = ∛(-8) + 7 = 5

y = ∛(-1) + 7 = 6

y = ∛1 + 7 = 8

y = ∛8 + 7 = 9

Answer:

5, 6, 8, 9

Step-by-step explanation: I took the test

Answer:t

Step-by-step explanation:

3x + 4 = 13

3x = 9

x = 3

Option 3

Answer:

subtract 4 then divide by three

Step-by-step explanation:

Answer:

About 2.57

Step-by-step explanation:

\(21x-56=-2 \\\\21x=54 \\\\x\approx 2.57\)

Hope this helps!

Answer:

I got 2.5

Step-by-step explanation

1) add 56 to both sides to get 21x = 54

2) divide both sides by 21

3) you should get 2.5

Answer:

3 if 2d, 2 if 3D

I think have an amazing day and stay safe and stay home

Answer:

-3

Step-by-step explanation:

-8-(-3) is the same as -8+3

-8+3=-5

Answer:

1.5 miles

Step-by-step explanation:

There are 1760 yards in 1 mile, take 1760*3.5 to get the total yards in 3.5 miles. It’s =6,160. Take 6,160-3,520 and you get 2,640. Take 2,650/1760 to get 1.5 miles remaining.

1.5 miles is the value of  \(3\frac{1}{2}\) miles - 3,520 yards.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that 1 yard=0.000568 miles.

We need to convert 3520 yards to miles

3250 yards=3250(0.000568)miles

=1.846miles=2 miles

\(3\frac{1}{2}\) miles - 3,520 yards

Convert  \(3\frac{1}{2}\)  to improper fraction

7/2 miles-2 miles

3.5 miles - 2 miles

1.5 miles

Hence, 1.5 miles is the value of  \(3\frac{1}{2}\) miles - 3,520 yards.

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Answer:

£38,907

Step-by-step explanation:

11x30=330

89.80+28.10=117.90

117.90x330=£38,907

Option A and B : This statements is generally false in probability theory.

A. P(A ∪ B) = P(A) + P(B) - This statement is generally false in probability theory. This is known as the inclusion-exclusion principle, which states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection.

B. P(A | B) = P(A) - This statement is generally false in probability theory. In general, P(A | B) is not equal to P(A) because the occurrence of event B affects the probability of event A.

C. P(A ∩ B) = P(A)P(B) - This statement is generally true in probability theory. This is known as the independent events rule, which states that the probability of the intersection of two independent events is equal to the product of their individual probabilities.

D. P(A | B) + P(A' | B) = 1 - This statement is generally true in probability theory.

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Let A and B be any two events. Which of the following statements, in general, are false? P(A∣B)+P(A∣B)=1                                                                                                                                    

A. P(A ∪ B) = P(A) + P(B)

B. P(A | B) = P(A)

C. P(A ∩ B) = P(A)P(B)

D. P(A | B) + P(A' | B) = 1

Answer: Y=10.76 √(x-9.12)+43.64

Step-by-step explanation:

Answer:

the answer is. C.i hope this helps sorry if im wrong

Answer:

1. b_ 2. a_ 3. c_ 4. d

Step-by-step explanation:

1 is b mainly because it is marked that way. Your picture doesn't show all of d so not really sure about it, but I used the process of elimination. Picture c is side angle side b/c of the vertical angles.

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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Answer:

hbgrvfgbhnybrstefv

Step-by-step explanation:

The expression in algebraic notation is 3 * (k - p²)

From the question, we have the following parameters that can be used in our computation:

Three times the difference between k and the square of p​

Three times means 3*

So, we have

3 * the difference between k and the square of p​

the difference between k and the square of p​ means

k - p²

So, we have

3 * (k - p²)

So, we can conclude that

The expression"Three times the difference between k and the square of p​" in algebraic notation is 3 * (k - p²)

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Answer:

500 times

Step-by-step explanation:

Divide the thickness of a cat hair by the thickness of a human hair.

4.0 × 10^-1 / 8.0 × 10^-4 =

= 0.5 × 10^3

= 500

500 times

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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Answer:

17

Step-by-step explanation:

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