In proportion, the product of extremes is equal to the product of​

78

Step-by-step explanation: just add them all

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Answer:

62 trees = 100%

62 / 2 = 31 trees

100% / 2 = 50%

31 trees = 50%

Step-by-step explanation:

Answer:

D. 0.85

Explanation:

We were given the following information:

Probability of S = 0.8

Probability of R = 0.7

Probability of S & R = 0.65

The probability that either a rec team or a school team has a game is given by:

Therefore, the answer is D

Using the z-distribution, it is found that:

a) The null hypothesis is \(H_0: p \geq 0.68\) and the alternative hypothesis is \(H_1: p < 0.68\).

b) A true null hypothesis would mean that there is not enough evidence that her ability has decreased.

c) There is not enough evidence for the alternative hypothesis.

d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.

At the null hypothesis, it is tested if there is not enough evidence that her ability has decreased, that is, the proportion is still of at least 68%, hence:

\(H_0: p \geq 0.68\)

At the alternative hypothesis, it is tested if there is enough evidence that her ability has decreased, that is, the proportion is less than 68%, hence:

\(H_1: p < 0.68\)

Hence:

A true null hypothesis would mean that there is not enough evidence that her ability has decreased.

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, considering the situation described, the parameters are given as follows:

\(p = 0.68, n = 56, \overline{p} = \frac{34}{56} = 0.6071\)

Hence the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.6071 - 0.68}{\sqrt{\frac{0.68(0.32)}{56}}}\)

z = -1.17.

Considering a left-tailed test, as we are testing if the proportion is less than a value, the critical value is given by:

z* = -1.645.

The test statistic is less than the critical value, meaning that the p-value is greater than the standard significance level of 0.05 and there is not enough evidence for the alternative hypothesis.

Hence:

c) There is not enough evidence for the alternative hypothesis.

d) This is because the test statistic is less than the critical value, and the p-value is greater than 0.05.

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Answer:

11

Step-by-step explanation:

-7 to 4 is 11 Hoped that helped

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

Answer:

30

Step-by-step explanation:

3:4=9:12-total students 21

3:4=12:16-total students 28

3:4=15:20-total students 35

Using the Law of Cosines, the measure of the third side of a triangle whose other two sides measure 17m and 22m, and the interior angle formed by those two sides measure 42°, will be 14.74 m.

As per the question statement, two sides of a triangle measure 17m and 22m, and the interior angle formed by those two sides measure 42°

We are required to calculate the measure of the third side of the above mentioned triangle, using the Cosine Rule.

To solve this, first we will thus need to know the cosine rule.

       [a² = b² + c² − {2bc * cos(A)}]

Here, assuming that, (b = 17), (c = 22), (∠A = 42°) and given (a = x), and substituting them in the above mentioned mathematical representation of the law of cosines, we get,

[x² = (17)² + (22)² − {2 * 17 * 22 * cos(42°)}]

Or, [x² = {289 + 484 − (784 * 0.743)}]

Or, [x² = (773 - 555.764)]

Or, (x² = 217.236)

Or, (x = √217.236)

Or, (x = 14.73892 m)

Or, (x ≈ 14.74 m)

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4x2 - 5x + 9x2 - 12x simplifying expressions

A.– 4x

B. 5x^2-7x

C.12x^2-17x

D.5x^2+17x​

step 1

Combine like terms

(4x^2+9x^2)+(-5x-12x)

13x^2-17x

The velocity vector is v(t) = \(2tj + 24t^2k\) and the position vector is \(r(t) = tj + (12t^2 - 1)k.\)

The acceleration vector a(t) is given as \(2i + 6tj + 12t^2k.\) The initial velocity vector v(0) is given as i and the initial position vector r(0) is given as j - k. To find the velocity vector, we must integrate the acceleration vector with respect to time. This gives us the velocity vector \(v(t) = 2tj + 24t^2k.\)To find the position vector, we must integrate the velocity vector with respect to time. This gives us the position vector \(r(t) = tj + (12t^2 - 1)k.\) Therefore, the velocity vector and position vector of the particle are \(v(t) = 2tj + 24t^2k\)and \(r(t) = tj + (12t^2 - 1)k\) respectively.                                                          

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Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

The answer is

B) x = -4 or x = 2

Step-by-step explanation:

Separate into possible cases

x + 1 = 3

x + 1 = -3

solve the equations

x = 2

x = -4

therefore the answer is B

Answer:

96 blue beans

Step-by-step explanation:

all beans

= 104 ➗ 13%

= 800

blue beans

= 800 ✖ 12%

= 96

The total probability of the Captain hitting the pirate ship, the pirate hitting the Captain's ship, or both events happening is 23/35

Based on the given information, Captain Umaima has a probability of 3/7 of hitting the pirate ship, while the pirate Nadia has a probability of 2/5  of hitting the Captain's ship.

To calculate the probability of different outcomes, let's consider the following scenarios:

The Captain hits the pirate ship, and the pirate hits the Captain's ship:

The probability of the Captain hitting the pirate ship is 3/7

The probability of the pirate hitting the Captain's ship is 2/5.

To find the probability of both events happening, we multiply the individual probabilities:

3/7×2/5=6/35

The Captain hits the pirate ship, but the pirate misses the Captain's ship:

The probability of the Captain hitting the pirate ship is 3/7​.

The probability of the pirate missing the Captain's ship is 1−2/5=3/5.

(Since the pirate's probability of hitting is 2/5, the probability of missing is 1− 2/5.)

The probability of this scenario, we multiply the individual probabilities:

3/7×3/5=9/35.

The Captain misses the pirate ship, but the pirate hits the Captain's ship:

The probability of the Captain missing the pirate ship is 1−3/7=4/7.

(Since the Captain's probability of hitting is 3/7 , the probability of missing is 1-3/7.)

The probability of the pirate hitting the Captain's ship is 2/5

To find the probability of this scenario, we multiply the individual probabilities:

4/7×2/5=8/35

These three scenarios represent all possible outcomes when considering the Captain and the pirate's actions.

The sum of the probabilities of these scenarios should be equal to 1:

6/35+ 9/35+ 8/35= 23/35

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Answer:

y= -14

Step-by-step explanation:

First, distribute to get 9y-10y+15=1-2y

Then, combine like terms: -y+15=1-2y

Then, bring the 2y over and the 15 over: y= -14

Hope this helped!

Answer:20

take 56 divide by 2 and add 6 to the out-com

Answer:

A=3

Step-by-step explanation:

2353032/99 = 23768

Answer:

A=3

Step-by-step explanation:

Answer:

Please find attached pdf

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

you have to evaluate the exponent, and multiply the end product!! lol there

Answer:

Step-by-step explanation:

25. 5 < x < 7

Answer:

5

Step-by-step explanation:

2x²y³ + 4y³ = 149 + 3x²

\( 2x^2y^3 - 3x^2 = 149 - 4y^3 \)

\( x^2(2y^3 - 3) = 149 - 4y^3 \)

\( x^2 = \dfrac{149 - 4y^3}{2y^3 - 3} \)

\( x = \pm \sqrt{\dfrac{149 - 4y^3}{2y^3 - 3}} \)

Try y = 1

\(x = \pm \sqrt{\dfrac{149 - 4(1)}{2(1)^3 - 3}} = \pm \sqrt{-145} = i\sqrt{145}\)

For y = 1, x is imaginary.

Try y = 2

\( x = \pm \sqrt{\dfrac{149 - 4(2)^3}{2(2)^3 - 3}} = \pm \sqrt{9} = \pm 3\)

Since x and y are positive integers, ignore x = -3.

When x = 3, y = 2.

x + y = 3 + 2 = 5

The value of x + y is 5.

Polynomials are expressions which consist of variables, constants, coefficients and exponents.

We have the equation,

2x²y³ + 4y³ = 149 + 3x²

2x²y³ - 3x² = 149 - 4y³

x² (2y³ - 3) = 149 - 4y³

x² = (149 - 4y³) / (2y³ - 3)

x = √[(149 - 4y³) / (2y³ - 3)]

Now, we have to find two positive integers.

We can use trial and error method here.

Trial putting y = 1.

x = √[(149 - 4 × 1³) / (2 × 1³ - 3)]

  = √[145 / (-1)]

  = √(-145)

There is no real root for √(-145). So y = 1 is not applicable.

Trial putting y = 2.

x = √[(149 - 4 × 2³) / (2 × 2³ - 3)]

  = √[117 / 13]

  = √(9)

  = ± 3

But we need positive integers. So we ignore -3.

So x = 3 and y = 2 ⇒ x + y = 5

Hence x + y = 5.

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The missing angle is 25 degrees.

We are given that;

A polygon with 6 side have interior angles 90, 98, 140, x, 155, 112

Now,

we can write:

S = (6 - 2) × 180 degrees

S = 4 × 180 degrees

S = 720 degrees

We know that the sum of the given interior angles is:

90 + 98 + 140 + x + 155 + 112 = 695 + x

Since the sum of the interior angles of a polygon with 6 sides is equal to 720 degrees, we can write:

695 + x = 720

Solving for x, we get:

x = 25 degrees

Therefore, by the polygon the answer will be 25 degrees.

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Answer:

Step-by-step explanation:

2x + 6

Answer:

5%

Step-by-step explanation:

1 + 0.05 = 100% + 5%

Answer: 5%

Answer:

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

Given system:

Add up the two equations to get same coefficient on both variables:

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

When writing a proof , by copying the “given” statement(s) from the original problem

Given data ,

A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.

We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.

Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.

The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.

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Answer:

x = 10

Step-by-step explanation:

50 = (6x - 10)      rewrite it

50 =  6x - 10

+ 10        + 10       add 10 to both sides

60 =  6x               you're left with 60 and 6x

60/6 = 6x/6         divide both sides by 6 to get x by itself

10 = x                    the answer is whatever you're left with after dividing

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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