In triangle ABC
a+b+c= 54
a+b=33
b+c=41
find area of triangle ABC​

Answer:

X=1

Step-by-step explanation:

-3x = x -(6-2x)

-3x = x -(-2x +6)

x=1

The probability that at least one of the lights is defective is 0.2661 .

in the question ,

it is given that

the total number of bulbs in the pack of new light bulbs is (n) = 5

percent of bulb that did not work is  = 6%

probability that lights did not work is (p) = 0.06

probability that lights work is (q) = 1 - 0.06 = 0.94

let x be the number of defective lights

So ,the probability that at least one of your lights is​ defective

is P(x ≥ 1) = 1 - P(x<1)

= 1 - P(x = 0)

By Binomial Probability

= 1 - ⁿCₓ*(p)ˣ*(q)ⁿ⁻ˣ

= 1 - ⁵C₀*(0.06)⁰*(0.94)⁵⁻⁰

= 1 - 1*1*(0.94)⁵         ...because ⁵C₀ = 1

= 1 - (0.94)⁵

= 1 - 0.7339

= 0.2661

Therefore , The probability that at least one of the lights is defective is 0.2661 .

The given question is incomplete , the complete question is

You purchased a​ five-pack of new light bulbs that were recalled because ​6% of the lights did not work. What is the probability that at least one of your lights is​ defective ?

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Answer:

Step-by-step explanation:

m = E / c²

Answer:

isnt it 132:89??

sorry I'm confused

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Answer:

yes..................................

Answer:

......hyhhhhhhhhhhhhhhhhhhhhhhhhhh

to find out the ratio of adults to children we need to divide the number of adults by the number of children and simplify the fraction:

so the ratio of adults to children at the cookout is: 2:7

and total people= children + adults= 35+10=45

so now for the ratio of children to total people, we divide the number of children by 45

So the ratio of children to total people at the cookout is: 7:9

Write an example from daily life that uses rational numbers .

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The best approximation to ~u = (3, −7, 2, 3) as a linear combination of ~v₂ = (2, −1, −3, 1) and ~v₂ =(1, 1, 0, −1) is ~u ≈ (1.2, -2.7, -1.2, 1.4). The coefficients α and β that minimize the error norm are α = 3/10 and β = -2/5.

To find α and β, we can use the least squares method. The least squares method minimizes the error norm

\(||u - \alpha v_1 - \beta v_2||^2\)

subject to the constraints α and β are real numbers.

The solution to this minimization problem is

\(\alpha = \frac{\mathbf{u} \cdot \mathbf{v}_1}{\mathbf{v}_1 \cdot \mathbf{v}_1}\)

\(\beta = \frac{\mathbf{u} \cdot \mathbf{v}_2}{\mathbf{v}_2 \cdot \mathbf{v}_2}\)

Plugging in the values of ~u, ~v₁, and ~v₂, we get

\(\alpha = \frac{3 \cdot 2 - 7 \cdot 1 + 2 \cdot 0 + 3 \cdot 1}{2^2 + (-1)^2 + (-3)^2 + 1^2} = \frac{3}{10}\)

\(\beta = \frac{3 \cdot 1 - 7 \cdot 1 + 2 \cdot 0 + 3 \cdot (-1)}{1^2 + 1^2 + 0^2 + (-1)^2} = \frac{-2}{5}\)

Therefore, the best approximation to ~u = (3, −7, 2, 3) as a linear combination of ~v₁ = (2, −1, −3, 1) and ~v₂ =(1, 1, 0, −1) is

\(\mathbf{u} \approx \frac{3}{10} \cdot (2, -1, -3, 1) - \frac{2}{5} \cdot (1, 1, 0, -1) = (1.2, -2.7, -1.2, 1.4)\)

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Answer:

14 is the value

Step-by-step explanation:

Answer:

Aubree can use 4.6 gigabytes of data while staying within her budget.

If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.

Step-by-step explanation:

x= gigabyte

58.50 + 3x = 72.30

3x = 72.30-58.50

3x= 13.8

x= 4.6

*Answer:

X=0   Y=-2

Step-by-step explanation:

4*(7X-5Y)-5*(-6X-4Y)=4*10-5*8

28X-20Y+30X+20Y=0

58X=0

X=0

-5Y=10

Y=-2

The inverse of the transpose of matrix A is equal to the transpose of the inverse of matrix A.

To verify that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1), we can use the multiplication rule for transposes, which states that (CD)^T = D^T * C^T.

Let's assume that A is an invertible matrix. We want to show that (A^T)^-1 = (A^-1)^T.

First, let's take the inverse of A^T:

(A^T)^-1 * A^T = I,

where I is the identity matrix.

Now, let's take the transpose of both sides:

(A^T)^T * (A^T)^-1 = I^T.

Simplifying the equation:

A^-1 * (A^T)^T = I.

Since the transpose of a transpose is the original matrix, we have:

A^-1 * A^T = I.

Now, let's take the transpose of both sides:

(A^-1 * A^T)^T = I^T.

Using the multiplication rule for transposes, we have:

(A^T)^T * (A^-1)^T = I.

Again, since the transpose of a transpose is the original matrix, we get:

A * (A^-1)^T = I.

Now, let's take the transpose of both sides:

(A * (A^-1)^T)^T = I^T.

Using the multiplication rule for transposes, we have:

((A^-1)^T)^T * A^T = I.

Simplifying further, we get:

A^-1 * A^T = I.

Comparing this with the earlier equation, we see that they are identical. Therefore, we have verified that the inverse of A transpose (A^T) is equal to the transpose of the inverse of A (A^-1).

In conclusion, (A^T)^-1 = (A^-1)^T.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

A)  The 95% confidence interval is:

     0.58 ± 0.062

B) At the 0.01 probability value, there is neither substantial evidence of a home-field  advantage in professional football (they won and over half of the games).

Now, According to the question:

A) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × \(\frac{\sqrt{pq} }{n}\)

Where:

z = The z score corresponds to the amount of confidence.

p = sample proportion.

q = probability of failure

q = 1 - p

p = x/n

Where

n = the number of samples

x = the number of success

From the information given,

n = 240

x = 138

p = 138/240 = 0.58

q = 1 - 0.58 = 0.42

To determine the z score,  The confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Thus,

1 - 0.025 = 0.975

The z -score associated with the area just on z table approximately 1.96. Therefore, the z score with a 95% confidence level is 1.96.

As a result, the 95% confidence interval becomes

0.58 ± 1.96√(0.58)(0.42)/240

Confidence interval is

0.58 ± 0.062

B) Earning more than half of the games equates to winning 120 games or more.

p = 120/240 = 0.5

The hypothesis test will be

For the null hypothesis,

P ≥ 0.5

For the alternative hypothesis,

P < 0.5

Probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 138

n = number of samples = 240

P = 138/240 = 0.58

We need to find the values of  the test statistic which will be the z score

z = (P - p)/√pq/n

z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48

Remember that this is a two-tailed test. We would use the normal distribution table to calculate the probability potential of the property to the right of both the z score.

P value will be = 1 - 0.9934 = 0.0066

Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.

The given question is incomplete, The complete question is this:

__"During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct a 95% confidence interval for the winning proportion of the home team during this season. b) At the 0.01 significance level, is there strong evidence of a home field advantage (they win more than half of the games) in professional football? State hypotheses, calculate the test statistic and p-value, and make a conclusion in context"__

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In δcab, point e is the midpoint of segment ac and point d is the midpoint of segment bc. If the measure of segment ab is 8 units, the measure of segment segment ed is equal to 2 units.

We know that point e is the midpoint of segment ac and point d is the midpoint of segment bc. Given that the measure of segment ab is 8 units.We know that the midpoint divides a line segment into two equal parts. Therefore, the measure of segment ae is equal to the measure of segment ec and the measure of segment bd is equal to the measure of segment dc. We can represent this

as:ab = ae + eb (1)

ab = bd + dc (2)

Given that ae = ec and

bd = dc Therefore, substituting the above values in equations (1) and (2), we get From equations (3) and (4), we have: 2ae + eb = 2bd + dc Given that point e is the midpoint of segment ac and point d is the midpoint of segment bc, we can say that becomes:

2ae + eb = 2bd + dc

2ae = 2bd Since

ae = bd

= ec = dc, it implies that

ae + ed = ab8

= 2ae + ed

On substituting the value of 2ae in the above equation, we have:8 = 2bd + ed

Therefore,ed = 8 - 2bd

ed = 8 - 2(4)ed = 0

Thus, the measure of segment segment ed is equal to 2 units.

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Answer:

x = 26

Step-by-step explanation:

1. Information

One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.

2. Base of the rectangle

Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.

3. Base of the triangle

Use the Pythagorean theorem;

\(a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse\)

Substitute in the given value and solve

\(a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8\)

4. Finding x

There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be

x = base_of_triangle + base_of_rectagle + base_of_triangle

x = 8 + 10 + 8

x = 26

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction. The 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

In a Lineweaver-Burk plot, the 1/Y-intercept represents the reciprocal of the maximum velocity (1/Vmax) of the enzyme-catalyzed reaction being studied, while the 1/X-intercept represents the negative reciprocal of the Michaelis constant (1/Km) for the substrate.

The Lineweaver-Burk plot is a linear transformation of the Michaelis-Menten equation, which relates the initial reaction rate (v0) of an enzyme-catalyzed reaction to the substrate concentration ([S]):

v0 = (Vmax [S]) / (Km + [S])

Taking the reciprocal of both sides of the equation, we get:

1/v0 = (Km/Vmax) (1/[S]) + 1/Vmax

This equation has the same form as the equation of a straight line y = mx + b, where y = 1/v0, x = 1/[S], m = Km/Vmax, and b = 1/Vmax. Therefore, plotting 1/v0 against 1/[S] on a Lineweaver-Burk plot produces a straight line with a slope of Km/Vmax and a y-intercept of 1/Vmax.

Taking the reciprocal of the slope, we get:

1/(Km/Vmax) = Vmax/Km

which is equal to the 1/X-intercept of the Lineweaver-Burk plot. Similarly, taking the reciprocal of the y-intercept, we get:

1/(1/Vmax) = Vmax

which is equal to the 1/Y-intercept of the Lineweaver-Burk plot.

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Answer:

n = - 16

Step-by-step explanation:

Using proportions, it is found that Nyle hiked 25 feet per minute.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The proportion that we want to find in this problem is the number of miles hiked per minute. We have that he hiked 250 feet in 10 minutes, as the negative corresponds only to the direction, hence:

v = 250/10 = 25.

Hence Nyle hiked 25 feet per minute.

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Answer:

6 7/12 miles

Step-by-step explanation:

Explanation: The total miles she rides is the miles she rides to school + the miles she rides back

Step 1: Convert both mixed numbers into fractions.

2 3/4 = 11/4

3 5/6 = 23/6

Step 2: Find GCF by multiplying both fractions by opposing denominators

11/4 = 66/24    (11 * 6 = 66, 4 * 6 = 24)

23/6 = 92/24    (23 * 4 = 92, 6*4=24)

Step 3: Add both fractions

92/24 + 66/24 = 158/24

Step 4: Simplify

158/24= 79/12 = 6 7/12 miles

Answer:

-8

Step-by-step explanation:

i fr am taking the test got it right :D

Answer:

93 Sq.ft

Step-by-step explanation:

Formula for total surface area of a cylinder is;

TSA = 2πr² + 2πrh

In the question, we have Half cylinder, thus; TSA for half cylinder is;

TSA_½ = (2πr² + 2πrh)/2

TSA_½ = πr² + πrh

r = 3/2 = 1.5 ft

h = 5 ft

Thus;

TSA_½ = π(1.5)² + π(1.5 × 5)

TSA_½ = 30.63 Sq.ft

Surface area of rectangular prism is;

SA = 2(lw + lh + wh)

We have;

l = 5 ft

h = 2 ft

w = 3 ft

Thus;

SA = 2((5 × 3) + (5 × 2) + (2 × 3))

SA = 2(15 + 10 + 6)

SA = 62 Sq.ft

Thus, surface area of treasury is;

S.A_t = TSA_½ + SA

S.A_t = 30.63 + 62

S.A_t = 92.63 approximately 93 Sq.ft

The volume of the prism is 5/3 cubic centimeters. The answer is option B.

To find the volume of the prism, we need to find the number of cubes that fit inside it. From the figure, we see that the length is 5 cubes, the height is 3 cubes, and the width is 3 cubes.

Therefore, the total number of cubes is:

5 x 3 x 3 = 45

Each cube has a volume of \((1/3)^3\)= 1/27 cubic centimeters.

To find the total volume of all the cubes, we multiply the number of cubes by the volume of each cube:

45 x (1/27) = 5/3

So, the volume of the prism is 5/3 cubic centimeters.

Therefore, the answer is (B) 5/3.

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Answer:

Calculate the difference

Step-by-step explanation:

0.5-3 -> -(3-0.5) -> -2.5