someone please please help me with this !

The probability P(-1.96 < z < -1.4) is approximately 0.055, which corresponds to option b. 0.0558.

To calculate the probability P(-1.96 < z < -1.4), where z is a standard normal random variable, we need to find the area under the standard normal curve between -1.96 and -1.4. This can be done by subtracting the cumulative probability at -1.4 from the cumulative probability at -1.96.

Using a standard normal distribution table or a calculator, we can find the cumulative probability at -1.96 to be approximately 0.025, and the cumulative probability at -1.4 to be approximately 0.080.

P(-1.96 < z < -1.4) is approximately 0.080 - 0.025 = 0.055.

Among the given options, the closest value to 0.055 is option b. Therefore, the correct answer is b. 0.0558.

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The expansion of the trinomial 10x² - 61 x + 72 is (2x - 9) (5x - 8).

An algebraic expression known as a trinomial has three non-zero terms and more than one variable. An example of a trinomial is a polynomial having three terms. An algebraic expression with one or more terms is called a polynomial.

Given:

10x² - 61 x + 72

Calculate the roots of the trinomial as shown below,

10x² - 16 x - 45 x + 72

2x  (5x - 8) - 9(5x - 8)

(2x - 9) (5x - 8)

Thus, the expansion of the trinomial is (2x - 9) (5x - 8).

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Answer:

QR = 14 cm

Step-by-step explanation:

using the Pythagorean theorem:

25^2 - 24^2 = RN^2

625 - 576 = 49

RN = 7

NQ = RN

QR = RN+NQ

QR = 7 + 7 = 14 cm

Answer:

number is 8

Step-by-step explanation:

let n be the number then 4 times the number is 4n and increased by 30 means adding 30 to it , that is 4n + 30

70 decreased by the number means subtracting n fro 70 , 70 - n

then

4n + 30 = 70 - n ( add n to both sides )

5n + 30 = 70 ( subtract 30 from both sides )

5n = 40 ( divide both sides by 5 )

n = 8

Answer:

the question?

Step-by-step explanation:

==========================================================

Explanation:

We have five slots which we can label A,B,C,D,E

We start at 8 and count down by 1 each time until all slots are accounted for. Then multiply out those items: 8*7*6*5*4 = 6720

--------------

Another approach is to use the nPr permutation formula.

Plug in n = 8 and r = 5.

\(n P r = \frac{n!}{ (n-r)! }\\\\8 P 5 = \frac{8!}{ (8-5)! }\\\\8 P 5 = \frac{8!}{ 3! }\\\\8 P 5 = \frac{8*7*6*5*4*3!}{ 3! }\\\\8 P 5 = 8*7*6*5*4\\\\8 P 5 = 6720\\\\\)

In the second to last line, the "3!" factorial terms cancel out.

We have the string 8*7*6*5*4 show up again to help reinforce the previous section.

22 positive integers n with  500 have square roots that can be expressed in the form a where a and b are integers with a 10.

An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (−1, −2, −3, etc.). A negative number is the additive reciprocal of the corresponding positive number. In math language, the set of integers is often denoted by bold Z or bold Z.

The set of natural numbers N is a subset of Z, which in turn is a subset of the set of all rational numbers Q , itself the real number R  is a subset of Z just like the natural numbers. Integers can be thought of as real numbers that can be written without a fractional part.

According to the Question:

sqrt (121) = 11sqrt(1)

sqrt (242) = 11sqrt(2)

sqrt(363) = 11sqrt(3)

sqrt (484) = 11sqrt(4)  

                =  22sqrt(1)

Therefore, 22 positive integers n with  500 have square roots that can be expressed in the form a where a and b are integers with a 10.

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Answer:

22

Step-by-step explanation:

To determine the value of the rate constant (k) and the half-life for a first-order reaction, we can use the integrated rate law and the given information. The value of [A]₀/[A] will be determined when the reaction is 44.0% complete.

For a first-order reaction, the integrated rate law is given by the equation: ln([A]₀/[A]) = -kt, where [A]₀ is the initial concentration of the reactant, [A] is the concentration at a given time, k is the rate constant, and t is the time.

Since the reaction is 44.0% complete, the remaining concentration of the reactant is 56.0% ([A] = 0.56[A]₀).

Plugging in the values into the integrated rate law equation, we have: ln([A]₀/0.56[A]₀) = -k(4.0 minutes).

Simplifying the equation, we get: ln(1/0.56) = -4.0k.

Using a calculator, we find that ln(1/0.56) is approximately -0.5878.

Now we can solve for k: -0.5878 = -4.0k.

Dividing both sides by -4.0, we find that k is approximately 0.1469 min⁻¹

To determine the half-life (t₁/₂), we can use the equation t₁/₂ = ln(2)/k. Plugging in the value of k, we have: t₁/₂ = ln(2)/0.1469 ≈ 4.72 minutes.

Therefore, the value of [A]₀/[A] when the reaction is 44.0% complete is approximately 1/0.56, the rate constant (k) is approximately 0.1469 min⁻¹, and the half-life (t₁/₂) is approximately 4.72 minutes.

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Therefore, the AAA test of congruency demonstrated that ABE is Congruence to CDE.

Something that is "exactly equal" in terms of size and shape is referred to as congruent. No matter which way we spin, flip, or rotate the shapes, they remain accurate. For instance, you may draw two circles with the same radius, cut them out, and stack them.

In this case, we are aware that AB ll DC - GIVEN

In light of the characteristic of parallel lines,

Let's recall the property of parallel lines:-

"When the pair of alternating angles equals one another, two straight lines become parallel."

Alternate angles are angle ABE and angle CDB.

angle BAE ≅ angle DCE -{alternate angles}

E is a midway, given that.

According to the midpoint theorem, opposite angles are congruent when angle AES and angle CED are compared.

Here, we may see the congruency test from AAA.

Hence its proved that ∆ABE ≅ ∆CDE by AAA test of congruency.

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Answer:

It is 45.

Step-by-step explanation:

Divide 45 by 15. The answer is 3, so it would take her 3 minutes to drain the aquarium.

Answer:

The answer to this question should be H

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

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Answer:

The answer is A.

Step-by-step explanation:

Lets prove the other ones wrong.

B) It is not based on a day to day prediction, rather days with simmilar conditions before the storm.

C) The United states is too broad an area.

D) It is not based on the ammount of days it snows per month, because on say December 15 it could be 60 degrees and on December 25 it could be 2 degrees. Also you could not make any predictions on a per-day basis then.

So the only clear answer is "Historically, in this area, it has snowed 10% of the time on days with similar meteorological conditions as today."

The mean is 172, the variance is 34.4, and the standard deviation is 5.86.

The United States has a system of bicameralism, which means that each state has two chambers in its legislature: a lower chamber (such as the Assembly or House of Representatives) and an upper chamber (such as the Senate).

The number of constituents per district in each chamber varies from state to state, and it is usually determined by the state's constitution or by a state redistricting commission.

As of the 2010 census, Texas had about 811,147 constituents per state senate district.

However, this is not the highest number of constituents per senator among all the states.

In fact, the state with the highest number of constituents per senator is California.

According to the U.S. Census Bureau, as of the 2010 census, California had a population of approximately 37.3 million people.

The state's constitution provides for 40 state senators, which means that each senator represents approximately 933,000 constituents.

This is significantly higher than the number of constituents per senator in Texas.

The high number of constituents per senator in California can be attributed to the state's large population and the fact that the number of state senators has not kept up with population growth.

The last time the number of state senators in California was increased was in 1973, when the state's population was around 20 million people.

In conclusion, while Texas has a high number of constituents per state senate district, it is not the only state with a high number of constituents per senator.

California has a significantly higher number of constituents per senator, due to its large population and the fact that the number of state senators has not kept up with population growth.

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P(B∣A) is approximately 0.310, rounded to three decimal places.

To find the probability P(B∣A), we can use Bayes' theorem:

P(B∣A)= P(A) / P(A∣B)⋅P(B)

Given information:

P(B)=0.2

P(A∣B)=0.9

P(B')=0.8 (probability of not B)

P(A∣B′)=0.5 (probability of A given not B)

First, we need to calculate

P(A), the probability of event A. We can use the law of total probability to express P(A) in terms of the probabilities related to B and not B:

P(A)=P(A∣B)⋅P(B)+P(A∣B′)⋅P(B′)

Substituting the given values:

P(A)=0.9⋅0.2+0.5⋅0.8=0.18+0.4=0.58

Now, we can substitute the known values into Bayes' theorem:

P(B∣A)= P(A)/ P(A∣B)⋅P(B)

= 0. 9.0.2 / 0.58

Calculating this expression:

P(B∣A)≈ 0.5 80.18 ≈0.310

Therefore, P(B∣A) is approximately 0.310, rounded to three decimal places.

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Answer:

x= 30

Step-by-step explanation:

24+36+(4x)=180

60+(4x)=180

4x=120

120/4=30=x

x=30

Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

A rotation is a turn made about a specific axis. Both clockwise and anticlockwise rotations are possible. Whereas the image is really the rotating image, the pre-image is the original item.

From the pre-image point, calculate the image. The listed pre-image point is (x , y). Change the x and y coordinates, then multiply this same previous y coordinate by -1 to get a 90 degree anticlockwise rotation. Use the guidelines mentioned below to calculate each rotation.

Clockwise :

Given :

F(2, 4), I(5, 4) and G(3, 2)

After 90 degree rotation: (x , y) ----> (y , -x)

F'(4,-2), I'(4,-5) and G'(2,-3).

Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

Graphs for the both triangles are obtained.

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Correct question:

ΔFIG has vertices at F(2, 4), I(5, 4) and G(3, 2). Graph ΔFIG and ΔF'I'G' after a rotation of 90° clockwise about the origin.​

A p-value of 0.001 gives strong evidence against the null hypothesis.

A p-value is a measure of the strength of evidence against the null hypothesis, which is the hypothesis that there is no statistically significant difference between two groups. A p-value of 0.001 is less than the conventional 0.05 cutoff, indicating strong evidence against the null hypothesis.

When a p-value is calculated, the null hypothesis is assumed to be true, and the p-value is the probability of observing an effect at least as large as the one in the sample data, given that the null hypothesis is true. A p-value of 0.001 is equal to the probability of observing an effect at least as large as the one in the sample data, given that the null hypothesis is true, which is 0.1%. This suggests that the likelihood of the observed effect occurring by chance is very small, and therefore we can reject the null hypothesis and conclude that there is a statistically significant difference between the groups.

In short, a p-value of 0.001 gives strong evidence against the null hypothesis.

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If the team has probabilities 0.5, 0.1, and 0.4 of a win, tie, or loss for their first game respectively, then the probability that they will win their third game 0.526.

In the given question,

If the team has respective probabilities 0.4, 0.5, and 0.1 of a win, tie, or loss for their first game respectively, then we have to find the probability that they will tie their third game.

We obtain the two step transition probability matrix here as:

P^2 =  \(\left [ \begin{matrix}0 &0 &1 \\ 0.1 &0.5 &0.4 \\ 0.9 &0.1 &0 \end{matrix} \right ]\left [ \begin{matrix}0 &0 &1 \\ 0.1 &0.5 &0.4 \\ 0.9 &0.1 &0 \end{matrix} \right ]\)

P^2 = \(\left [ \begin{matrix}0.9 &0.1 &0 \\ 0.41 &0.29 &0.3 \\ 0.01 &0.05 &0.94 \end{matrix} \right ]\)

Using this, for the given current probability vector of (0.1, 0.5, 0.4) for loss, tie and win respectively, we get the final vector as:

bP^2 = (0.1, 0.5, 0.4) \(\left [ \begin{matrix}0.9 &0.1 &0 \\ 0.41 &0.29 &0.3 \\ 0.01 &0.05 &0.94 \end{matrix} \right ]\)

bP^2 = (0.299, 0.175, 0.526)

Therefore probability that win the third game is given here as: 0.526.

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The right question is:

A football team either wins, ties, or losses each game. If they lose a game, their probability of winning the next game is 1 and their probability of losing the next game is 0. If they tie a game, their probability of winning the next game is 0.4 and their probability of losing the next game is 0.1. If they win a game, their probability of winning the next game is 0 and their probability of losing the next game is 0.9. Write all answers as integers or decimals.

If the team has respective probabilities 0.4, 0.5, and 0.1 of a win, tie, or loss for their first game respectively, what is the probability that they will tie their third game?

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

x is equal to 80, and y is equal to 90.

Step-by-step explanation:

This is because the shape looks odd, due to the weird circle, but the opposite angles are congruent.

#teamtrees #WAP (Water And Plant)

Answer:

-2

Step-by-step explanation:

Answer:

B) -2

Step-by-step explanation:

Just took the test and got it correct

Answer:

So far, so good. Remember the rocket goes up, and then comes back down again. What you have discovered so far is that the height is 528 feet 3 seconds after launch, and then it keeps going up. At some point it starts coming back down again, and at 11 seconds after launch it passes 528 feet again.

Part b is exactly the same problem, except that you use 0 instead of 528. You will get two roots for your equation again, one will be 0 because the rocket is on the ground at time 0, and the other will be the time it hits the ground on the way back down.

Step-by-step explanation:

The indefinite integral is (-1/390625) * (6 − 5x)⁷ + C, where C is the constant of integration.

To evaluate this indefinite integral, we can use the power rule of integration, which states that ∫xⁿ dx = (x⁽ⁿ⁺¹⁾⁺⁽ⁿ⁻¹⁾ + C, where C is the constant of integration.
Using this rule, we can rewrite the integral as:
= (-1/5) * (-5/6) * (-4/7) * (-3/8) * (-2/9) * (-1/10) * (6 − 5x)⁷ + C
= (-1/5) * (-5/6) * (-4/7) * (-3/8) * (-2/9) * (-1/10) * (6 − 5x)⁷ + C
= (-1/5) * (-5/6) * (-4/7) * (-3/8) * (-2/9) * (-1/10) * (6 − 5x)⁷ + C
= (-1/5) * (-5/6) * (-4/7) * (-3/8) * (-2/9) * (-1/10) * (6 − 5x)⁷ + C
= (-1/5) * (-5/6) * (-4/7) * (-3/8) * (-2/9) * (-1/10) * (6 − 5x)⁷ + C
= (-1/5) * (-5/6) * (-4/7) * (-3/8) * (-2/9) * (-1/10) * (6 − 5x)⁷ + C
= (-1/5) * (-5/6) * (-4/7) * (-3/8) * (-2/9) * (-1/10) * (6 − 5x)⁷ + C
= (-1/390625) * (6 − 5x)⁷ + C
Therefore, the indefinite integral of (6 − 5x)^6 dx is (-1/390625) * (6 − 5x)⁷ + C.

The final answer to the indefinite integral is (-1/390625) * (6 − 5x)⁷ + C, where C is the constant of integration.

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Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

and the law of sine :

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

with a, b, c being the sides opposite of their associated angles (A, B, C).

1)

17/sin(26) = 12/sin(C)

sin(C) = 12×sin(26)/17 = 0.309438457...

C = 18.02539254...° ≈ 18°

3)

180 = 27 + 115 + C

C = 38°

19/sin(38) = AC/sin(27)

AC = 19×sin(27)/sin(38) = 14.01065332... in ≈ 14 in

In first triangle side angle m∠C is 18° and in first triangle side AC is 14 in. This can be obtained by using the law of sine.

We know the law of sine which is,

If in a triangle, Δ ABC,

\(\frac{sin A}{a} =\frac{sin B}{b}= \frac{sinC}{c}\), where a is the side opposite to the angle m∠A, b is the side opposite to the angle m∠B and c is the side opposite to the angle m∠C.

sine of the angle scan be found using calculator.

From the question,

1) In first triangle side,

AB = 12ft, BC = 17 ft and m∠A=26°

⇒By using the law of sine,

\(\frac{sin A}{a} =\frac{sin B}{b}= \frac{sinC}{c}\)

sin 26°/17 = sin B/AC = sin C/12

sin 26°/17 = sin C/12

12×sin 26° = 17×sin C

sin C = 5.26/17 = 0.3091

C = 18.023° ≈ 18°

3) In second triangle side,

m∠B = 27°, AB = 19 in and m∠A = 115°

m∠A + m∠B +m∠C = 180°

115° + 27° + m∠C = 180°

142° + m∠C = 180°

m∠C = 38°

⇒By using the law of sine,

\(\frac{sin A}{a} =\frac{sin B}{b}= \frac{sinC}{c}\)

sin 115°/BC = sin 27°/AC = sin 38°/19

sin 27°/AC = sin 38°/19

sin 27° × 19 = sin 38° × AC

8.63 = 0.62 × AC

AC = 13.91 in ≈ 14 in.

Hence in first triangle side angle m∠C is 18° and in first triangle side AC is 14 in.

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Answer:0.3

it is very easy wants you connect with math

Answer:

  See attached

Step-by-step explanation:

You want a graph with points plotted at (4, 6) and (7, 2), representing a sand trap and a water hazard, respectively.

The ordered pair (4, 6) represents the coordinates (x, y). The x-coordinate is the number of units right of the point x=0, and the y-coordinate is the number of units up from y=0.

Both points have positive coordinates for both x and y, so will be located up and right from the origin. The plot is shown in the attachment.

<951414049393>

Answer:

6 cm

Step-by-step explanation:

let, missing side be x cm

then, x+x+3 = 15

=> 2x = 12

=> x = 6 cm

Thus, missing side is 6 cm long