Are the triangles congruent? Why or why not?

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Explanation:

Ignoring the slashes, there are 8 digits here. If we could tell those '1's and '2's apart, then we'd have 8! = 40,320 different codes. The exclamation mark indicates a factorial.

However, the '1's and '2's are indistinguishable. We have to divide by a!*b! = 3!*3! = 6*6 = 36 to account for this.

The a! = 3! = 6 is from the fact we have 3 copies of '1'.

The b! = 3! = 6 is from the fact we have 3 copies of '2'

Dividing by 36 gets us (40,320)/36 = 1120

Answer:

This is the answer $2100

Step-by-step explanation:

$35×$1000×6/100=2100

Answer: 5% if it’s bubble sheet then 0.05

Step-by-step explanation:

Probability of flipping heads=50%

Probability of flipping practically = 45/100

=45

So 50%-45% = 5%

Answer:

c

Step-by-step explanation:

i took the test and got it right

For 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4 the answer is C. 64 +1.645. 4. V36.

A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence.

In statistics, it is commonly used to estimate the population mean based on a sample mean, standard deviation, and sample size.

The confidence level represents the probability that the true population parameter falls within the calculated interval.

The correct expression to find the 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4 is:

64 ± 1.645(4/√36)

Simplifying the expression:

64 ± 1.645(4/6)

64 ± 1.645(0.6667)

64 ± 1.0967

The 90% confidence interval is (62.9033, 65.0967).

Therefore, the answer is C. 64 +1.645. 4. V36.

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Answer:

[tex] P \geq 1000 \; meters [/tex]

Step-by-step explanation:

Given the following data;

Length = 312 meters

Breadth = 186 meters

To find the perimeter of the rectangle;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Perimeter = 2(312 + 186)

Perimeter = 2(498)

Perimeter = 996 meters

To the nearest meters, we have;

Perimeter = 996 ≈ 1000 meters

Let P represent the perimeter of a rectangular field.

900 < P > 1000

Therefore, [tex] P \geq 1000 \; meters[/tex]

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle "[tex]r[/tex]" = 10 cm.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:20\:π\:cm.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \: \pi \times 10 \: cm \\ \\ = 20 \: \pi \: cm[/tex]

Therefore, the circumference of the circle is 20 π cm.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

The person must score at least [tex]X = \mu + Z\sigma[/tex], in which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score, [tex]\mu[/tex] is the mean IQ score for the population and [tex]\sigma[/tex] is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

What score must a person have to qualify for Mensa?

Score of at least X, given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]X - \mu = Z\sigma[/tex]

[tex]X = \mu + Z\sigma[/tex]

In which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

t __1 2 3 4 5

yt_ 6 10 8 13 15

Using technology to produce a linear model :

The linear model obtained shows a positive linear pattern exist for the time series data :

The parameters for the line that minimizes MSE for the then series is :

y = 2.1t + 4.1

Where, slope = 2.1 ; intercept = 4.1

The mean squared error :

Sum of squared estimate of error = 9.1

Mean squared error = √9.1

Mean squared error = 3.02

Forecast for t = 6

y = 2.1t + 4.1

y = 2.1*6 + 4.1

y = 12.6 + 4.1

y = 16.7

Answer:

3% of 0.80 = 0.024

7% of 0.40 = 0.028

90% of 3 = 2.7

40% of 24 = 9.6

Step-by-step explanation:

9514 1404 393

Answer:

  f(x) = x(x-1) does not have an inverse function

Step-by-step explanation:

As you know, a function must be single-valued. That is, it can only have one y-value for each x-value.

If the inverse relation is to be a function, the original function must have only one x-value for each y-value. In general, even-degree polynomials, such as quadratic equations, cannot satisfy this requirement. This is often described as "the horizontal line test." That is, if a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

The attachment shows a horizontal line intersecting f(x) = x(x-1) in more than one place. The inverse of this relation is not a function.

[tex] \rm{f(x) = x(x - 1)}[/tex]

[tex] \\ [/tex]

Answer:

Step-by-step explanation:

The second one I believe.

Answer:

11.

Step-by-step explanation:

The scores 60-69 has two people. The scores 70-79 have 9 people. Both are lower or below 80.

Answer:

11

Step-by-step explanation:

Add the number of people in the 60-69 range ( 2) and the number of people in the 70-79 range (9) to get the number of people below 80

2+9 = 11

Answer:

It would be 1.073 you can also rojnd ot to 1.07

Answer:

$1.07 per pound

Step-by-step explanation:

$3.22/3lb is about $1.07 per lb.

Answer:

75

Step-by-step explanation:

Substitute 6 for f

12f+3=

12*6+3=

72 + 3 = 75

Answer:

12f+3 = 75 when f = 6

Step-by-step explanation:

12f+3

Let f = 6

12*6+3

Multiply

72 +3

Add

75

Answer:

A) 0.7696

B) 0.0474

C) Yes it's unusual

D) 0.05746

E) No, it is not unusual

F) No, it is not unusual

Step-by-step explanation:

This is a binomial probability distribution question.

We are told that 92.4% of those admitted graduated.

Thus; p = 92.4% = 0.924

From binomial probability distribution, q = 1 - p

Thus;

q = 1 - 0.924

q = 0.076

Formula for binomial probability distribution is;

P(x) = nCx × p^(x) × q^(n - x)

A) At least 11 graduated out of 12.

P(x ≥ 11) = P(11) + P(12)

P(11) = 12C11 × 0.924^(11) × 0.076^(12 - 11)

P(11) = 0.3823

P(12) = 12C12 × 0.924^(12) × 0.076^(12 - 12)

P(12) = 0.3873

P(x ≥ 11) = 0.3823 + 0.3873

P(x ≥ 11) = 0.7696

B) that exactly 9 of them graduated out of 12. This is;

P(9) = 12C9 × 0.924^(9) × 0.076^(12 - 9)

P(9) = 0.0474

C) We are not given significance level here but generally when not given we adopt a significance level of α = 0.05.

Now, exactly 9 out of 12 that graduated which is P(9) = 0.0474.

We see that 0.0474 is less than the significance level of 0.05. Thus, we can say that it is unusual to randomly select 12 students from the special programs and get exactly 9 that graduate

D) that at most 9 of them out of 12 graduated.

P(x ≤ 9) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9)

This is going to be very long so I will make use of an online probability calculator to get the values of P(0) to P(8) since I already have P(9) as 0.0474.

Thus, we have;

P(0) = 0

P(1) = 0

P(2) = 0

P(3) = 0.00000001468

P(4) = 0.00000040161

P(5) = 0.00000781232

P(6) = 0.00011081163

P(7) = 0.00115477385

P(8) = 0.00877476184

Thus;

P(x ≤ 9) = 0 + 0 + 0 + 0.00000001468 + 0.00000040161 + 0.00000781232 + 0.00011081163 + 0.00115477385 + 0.00877476184 + 0.04741450256

P(x ≤ 9) = 0.05746

E) P(x ≤ 9) = 0.05746 is more than the significance level of 0.05, thus we will say it is not unusual.

F) from online binomial probability calculator, probability of getting only 9 out of 12 is more than the significance value of 0.05. Thus, we will say it is not unusual

Answer:

666.666666666667%

Step-by-step explanation:

Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%

Answer:

Option B

Step-by-step explanation:

Answer:

it is 50%

Step-by-step explanation:

>:( im doing ixl and im in paine but here is the answer ok

Answer:

D

Step-by-step explanation:

Answer:

D....................

coz 100 has 0 so the number should at least have 0 in it

Answer:

if I'm not mistaking (please correct if I'm wrong) but I think he would have 16 left.

Step-by-step explanation:

you have to divide one-fifth of 30 which would get you 6, then divide one-third of 24 ( because 30 - 6 is 24) then total both fractions to get 14. then finally subtract 14 from 30 to get 16.

Answer: 31

Step-by-step explanation: just took the test

Answer:

685.75

Step-by-step explanation:

650*0.055+650

Answer:

$1250.00 + (x)$4.25 =

Step-by-step explanation

So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.

Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.

Answer:

2.  Not enough information

4. Congruent SAS

4. Similar, not enough information to determine congruency.

Step-by-step explanation:

2.  We only know one side and one angle are congruent,  Not enough to determine congruency

4.  We know two sides and the angle between are vertical angles and vertical angles are congruent.  SAS is how the triangles are congruent.

6.  The three angles are congruent which makes the triangles similar.  We need to know a side if they are to be congruent

Answer:

Step-by-step explanation:

Answer:

A plane figure with 4 sides is called a quadrilateral.

Step-by-step explanation:

A plane figure bounded by more than four straight lines is generally referred to as a polygon. A polygon is a closed two-dimensional shape formed by connecting multiple line segments. The line segments, also known as sides, should intersect only at their endpoints, forming vertices of the polygon.

Polygons can have various numbers of sides, and their names are typically based on the number of sides they possess. Some common examples include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and so on.

However, when the statement specifies that the plane figure is bounded by "more than four" straight lines, it suggests that the figure in question is a polygon with more than four sides. The exact name or classification of the polygon would depend on the specific number of sides it possesses.

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