Which pattern can we use to factor the expression? (x-1)2+(x-1)+4

Answer:

\(\frac{11}{15} \)

Step-by-step explanation:

\(\frac{1}{3} \) + \(\frac{2}{5} \)

The least common multiple of 3 and 5 is 15. Convert \(\frac{1}{3} \) and \(\frac{2}{5} \) to fractions with denominator 15.

\(\frac{5}{15} \) + \(\frac{6}{15} \)

Since \(\frac{5}{15} \) and \(\frac{6}{15} \) have the same denominator, add them by adding their numerators.

\(\frac{5+6}{15} \)

Add 5 and 6 to get 11.

\(\frac{11}{15} \)

Hope it helps and have a great day! =D

​

P(x < 1

a) P(x ≤ 6), n = 9, p = 0.8

Using the binomial cumulative distribution function, we can compute P(x ≤ 6) as follows:

P(x ≤ 6) = Σ P(x = i) for i = 0 to 6

= Σ (9 choose i) * (0.8)^i * (0.2)^(9-i) for i = 0 to 6

= 0.000015 + 0.000459 + 0.005902 + 0.042467 + 0.181904 + 0.393668 + 0.328126

= 1.352541 * 10^-5 + 0.000458818 + 0.005902008 + 0.042467328 + 0.181904316 + 0.393668288 + 0.328126005

= 0.952446763

Therefore, P(x ≤ 6) = 0.952.

(b) P(x > 8), n = 9, p = 0.3

Using the binomial cumulative distribution function, we can compute P(x > 8) as follows:

P(x > 8) = 1 - P(x ≤ 8)

= 1 - Σ P(x = i) for i = 0 to 8

= 1 - (0.43046721 + 0.25412184 + 0.07886593 + 0.016515105 + 0.002316831 + 0.000218700 + 1.0776 * 10^-5 + 2.43 * 10^-7 + 2.43 * 10^-9)

= 0.000011

Therefore, P(x > 8) = 1.1 * 10^-5.

(c) P(x < 1), n = 9, p = 0.1

Using the binomial cumulative distribution function, we can compute P(x < 1) as follows:

P(x < 1) = Σ P(x = i) for i = 0 to 0

= (9 choose 0) * (0.1)^0 * (0.9)^9

= 0.387420489 * 10^-9

= 3.874 * 10^-10

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An inequality to determine the rate of temperature decrease in degrees Celsius per day d, from Monday to Thursday is 30°c - 3d \(\leq\) 20°c

Let's assume the constant rate of decreasing the temperature be d degree Celsius.

So, the total decrease in temperature in three days is 3d degree Celsius.

Given,

The temperature on Monday is 30° c

Then,

The temperature on Thursday (which is 3 days later) will be 30°c - 3d

Since the pool opens when the temperature is higher than 20°c,

The equation to determine the rate of temperature decrease in degrees Celsius per day will be 30°c - 3d \(\leq\) 20°c

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Step-by-step explanation:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

my only advice

the second on bottom row with blue triangle

Answer:

x= 51.3

x=35.1

Step-by-step explanation:

10.)

For this one we have the adjacent side and the hypotonouse

Which means we'll use CAH

cos(x)=25/40

x= 51.31781255

(assuming that we have to round to the nearest tenth again)

x=51.3

12.)

For this one we have the adjacent and hyptonouse

we'll use CAH again

cos(x)=27/33

x= 35.09680123

x=35.1

The required circumference of the circle with a diameter of 97 cm is 304 cm.

The circumference of a circle can be calculated using the formula:

C = πd

Where 'd' is the diameter of the circle, and 'π' is a mathematical constant approximately equal to 3.14159.

In this case, the diameter of the circle is given as 97 cm. So we can substitute this value into the formula to get:

C = πd

C = π(97 cm)

C ≈ 304.35 cm

Rounding this answer to 3 significant figures gives:

C ≈ 304 cm

Therefore, the circumference of the circle with a diameter of 97 cm is 304 cm.

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Answer:

supermax makes it go fast

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

The y- coordinate of any point on the x- axis is zero , that is

(c, 0 ) where c is the value of the x- coordinate

Answer:

1080

Step-by-step explanation:

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Remember that

z =(x - μ)/σ

where

μ=24.5 pounds

σ=2.8 pounds

so

For x=27.3 pounds

Find out the value of z

z=(27.3-24.5)/2.8

z=1

Looking at the given tables

The probability is equal to (100-84.13)=15.87

therefore

The weighted weekly mean of t-shirt sales is 5.6.

The total number of weeks reported is the sum of the frequency column.

1+4+7+3 = 15 weeks

The total number of t-shirts sold is calculated as the product of the quantity of t-shirts sold and the number of weeks during which those t-shirts were sold.

2*1 + 4*4 + 6*7 + 8*3 = 2 + 16 + 42 + 24 = 84

The weighted mean, which is the product of the total quantity of t-shirts and the total number of weeks, represents the average number of T-shirts sold every week:

84/15 = 5.6

Response: 5.6

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Answer:

-4(x+3)

Step-by-step explanation:

Answer:

4(3−x)

Step-by-step explanation:

−4x+12

Factor out 4.

4(−x+3)

Answer:

D

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

we can use point-slope form to find this answer.

first, make this equation

y-y 1=m(x-x1)

y-4=-6(x-1)

m=-6 because you can use slope intercept form to find the slope (as the name states lol)

then just distribute!!

y-4=-6x+6

add four to both sides

y=-6x+10

whoops, i did a little too much the answer is in bold!!!

good luck!! hope this helped! <3

The area of the shaded part is 463.4π cm²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The area of the shaded part = area of circle - area of segment.

Area of circle = πr²

= 3.14 × 24²

= 576π cm²

Area of segment = area of sector - area of triangle

Area of sector = 120/360 × 576π

=576π/3

= 192πcm²

Area of triangle = 1/2absinC

= 1/2 × 24² sin120

= 249.42

= 79.4π cm²

Area of segment = 192π- 79.4π

= 112.6π

Area of the shaded part = 576π -112.6π

= 463.4 π

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Answer:

3.3h-3.1d-17

Step-by-step explanation:

Age and you can also use weight too

you can easily group people by their age and weight but not by eye color

example

age people

5 - 10 14

10 - 15 5

the table above shows that we have 14 people within the range of 5 to 10 years

and likewise the weight of the people can serve the same purpose

Answer:

If Megan can type 84 words in 2 minutes, he can type 42 words in 1 minute. Therefore, it would take Megan 10 minutes to type a 420 word essay.

It takes Megan 10 minutes to type the 420 word essay.

Given that Megan takes 2 minutes to type 84 words.

To find out how many words Megan types in 1 minute, we can divide the 84 words by 2 minutes = \(\frac{84}{2}\)  = 42

From the above line, we know that Megan types 42 words in 1 minute. Now, to find out the time taken for Megan to type a 420 word essay, we can divide the 420 by 42 to obtain the time in minutes.

So, time taken = \(\frac{420}{42}\) = 10 minutes.

From the above explanation, we can conclude that Megan can type 420 word essay in 10 minutes.

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Answer:

a)n=5

b)d=-11

c)x=-6

d)k=9

e)x=-8

f)y=2

g)x=10

h)w=27

i)k=4

j)m=-7

k)u=-2

l)y=3

Answer:

\(P(E) = 26 \%\)

Step-by-step explanation:

Given

\(P(F) = 46\%\)

\(P(E\ and\ F) = 10\%\)

\(P(E\ or\ F) = 62\%\)

Required

Find P(E)

In probability:

\(P(E\ and\ F) = P(E) + P(F) - p(E\ or\ F)\)

Substitute the right values

\(10\% = P(E) + 46\% - 62\%\)

\(10\% = P(E) -16 \%\)

Collect Like Terms

\(P(E) = 10\% +16 \%\)

\(P(E) = 26 \%\)

It is a probability because all probabilities are within the range 0 to 100%

Answer:

3/1 aka 3 :) also cute izuku pfp!!!!

Step-by-step explanation:

Answer:

x³ - y³ = 0

Step-by-step explanation:

Given : \(\frac{x}{y}+\frac{y}{x}=-1\)

To Find : value of (x³ - y³)

Since, \(\frac{x}{y}+\frac{y}{x}=-1\)

\(\frac{x^2+y^2}{xy}=-1\)

x² + y² = -xy

x² + y² + xy = 0 -----(1)

Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)

                     = (x - y)(0) {From equation (1)]

                     = 0

Therefore, value of x³ - y³ = 0 will be the answer.

keeping in mind that a line with a slope of "0" is a horizontal line, Check the picture below.

Answer: It would be about 10 cents an ounce.

Step-by-step explanation:

1.25/12 = ~.10

To calculate the estimated project completion time with 99% probability, we can use statistical techniques such as the Central Limit Theorem and Z-scores.

By summing up the mean completion times of individual tasks and propagating the standard deviations, we can obtain an overall estimate. With a 99% probability, we can determine the range within which the project will be completed by applying the Z-score for a 99% confidence level.

Using the mean completion time and standard deviation for each task, we can apply statistical methods to estimate the project's completion time with 99% probability.

By considering the average completion time and the spread of task durations, we can calculate the range within which the project is likely to be completed.

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Answer:

0.45

Step-by-step explanation:

no. of outcomes = 4+5 = 9

favourable outcomes = 4

P(an apple) = 4/9

= 0.4444... or 0.45

The required answer is a possible scenario where BC (c) is less than AC * sin(angle A)

To justify if it is possible to have BC < AC sin(angle A) for an acute triangle ABC, let's consider the sine formula for a triangle.

The sine formula for a triangle states that:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle, and A, B, and C are the angles opposite to those sides, respectively.

Now let's isolate side BC (b) in the equation:

b = c * sin(B) / sin(C)

Since triangle ABC is acute, all angles A, B, and C are less than 90°. Therefore, sin(B) and sin(C) will be positive values between 0 and 1.

Let's now compare BC (b) to ACsin(angle A):

b < AC * sin(A)

c * sin(B) / sin(C) < AC * sin(A)

We can rewrite the inequality in terms of angle C:

sin(B) / sin(C) < (AC * sin(A)) / c

Now let's recall that angle C is the angle opposite to side AC (c), and angle B is the angle opposite to side BC (b). Since sine is a positive increasing function for acute angles (0° to 90°), it follows that the sine of a larger angle will result in a larger value.

As angle C is opposite to the longer side (AC), angle C > angle B. Therefore, sin(C) > sin(B), and their reciprocals will have the opposite relationship:

1 / sin(C) < 1 / sin(B)

Now, let's multiply both sides of the inequality by c * sin(B):

c < AC * sin(A)

This inequality represents a possible scenario where BC (c) is less than AC * sin(angle A), justifying the initial claim. So, yes, it is possible to have BC < AC sin(angle A) for an acute triangle ABC.

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