You are running a left-tailed 2-sample z-test at the 0.05 level of significance and you find a test statistic of z=-1.87. shoudl you reject or not reject the null?

Answer:

\(7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0\)

Answer:

\(33,680 cm^2\)

Step-by-step explanation:

The formula needed for this problem is..

\(S.A=2(l*w)+2(l*h)+2(w*h)\).

Given that;

The height of the door= 200cm

The length of the door= 3cm

The width of the door= 80cm

Now, substitute the formula with the information given.

\(S.A= 2(3*80)+2(3*200)+2(80*200)\)

\(S.A= 2(240)+2(600)+2(16000)\)

\(S.A= 480+1200+32000\)

\(S.A= 33,680 cm^2\)

Answer:

12. What number added by 40 gives 0? 40+

= 0 *

Step-by-step explanation:

I'm confused by what you mean lol is this what you wanted?

HOPE THIS HELPS!!

40+-40=0 porque si tienes 40 y le restas 40 te da 0

Given a(t) = −9.8; v(0) = 5; s(0) = 6To find the position function, using a(t) and the initial values we need to integrate the acceleration function a(t) twice since we don't have any function defined to directly find the position function.

That means we are going to find the velocity function first and then integrate it again to get the position function.

v(t) = ∫ a(t) dt .....(1)Solving equation (1)v(t) = ∫ -9.8 dtv(t) = -9.8t + Cv(0) = 5When t = 0, v(0) = 5

Therefore, Cv = 5v(t) = -9.8t + 5 Therefore, velocity function isv(t) = -9.8t + 5

Now, to get the position function we need to integrate the velocity functionv(t) = ds(t)/dtSolving aboveds(t) = v(t)dt .....(2)Integrating equation (2)s(t) = ∫ v(t) dtS(t) = -4.9t² + 5t + C(s(0) = 6)When t = 0, s(0) = 6

Therefore, C = 6S(t) = -4.9t² + 5t + 6Therefore, the position function is given byS(t) = -4.9t² + 5t + 6

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Answer:

it is 27/50 is already in simplist form

Step-by-step explanation:

brainliest plzzzz

Answer:

3.791666 in decimals.

91/24 in fraction form.

Step-by-step explanation:

Hope it helps.

There are set of values as; a) Mean: 38. b) Mean: 55.5. a) Median: 23, Range: 11. b) Median: 68, Range: 17. c) Median: 46, Range: 37.d)Median: 903.5, Range: 347. e) Median: 456, Range: 522.

a) For set a, the mean

(24 + 45 + 38 + 56 + 27)

Then divide the sum by the count (5), resulting in a mean of 38.

The median is the middle value, that is 27, and the range is the difference between the highest value (56) and the lowest value (24), which is 32.

b) The mean is calculated by summing up all the numbers (24 + 31 + 17 + 39 + 9 + 171) and dividing by the count (6), in a mean of 55.5.

The median is the middle value, 39, and the range is the difference between the highest value (171) and the lowest value (9), which is 162.

c) For set c, the mean is calculated by adding all the numbers (125 + 136 + 174 + 116 + 164 + 3.8 + 9.2 + 6.7 + 11.5)

Then dividing by the count (9), in a mean of 132.05.

The median is the middle value, 136, and the range is the difference between the highest value (174) and the lowest value (3.8), which is 170.2.

d) The mean is calculated by summing up all the numbers (73 + 75 + 7.0 + 8.1 + 8.0) and dividing by the count (5), resulting in a mean of 34.02.

The median is the middle value, that is 8.1, and the range is the difference between the highest value (75) and the lowest value (7.0), that is 68.

e) The median is the middle value, which is 456, and the range is the difference between the highest value (631) and the lowest value (109), which is 522.

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The average price of the pickup truck increased by 80%.

To find the percentage increase in the average price of the pickup truck, we need to calculate the difference between the 2012 and 1991 prices, divide that difference by the 1991 price, and then multiply by 100 to get the percentage increase.

First, we need to find the difference between the two prices:

$35,100 - $19,500 = $15,600

Next, we divide the difference by the 1991 price:

$15,600 / $19,500 = 0.8

Finally, we multiply by 100 to get the percentage increase:

0.8 x 100 = 80%

Therefore, the average price of the pickup truck increased by 80%.

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Meg can get 1 and 3/4 servings of 1/2 jug from her 7/8 jug of orange juice.

Meg has a 7/8 jug of orange juice, and she wants to know how many 1/2 jug servings she can get from it. To solve this problem, we need to divide the total amount of orange juice by the amount of orange juice in each serving.

First, we need to convert the 7/8 jug to an equivalent fraction with a denominator of 2. To do this, we can multiply both the numerator and denominator of 7/8 by 2, which gives us 14/16.

Next, we can divide 14/16 by 1/2 to find out how many 1/2 jug servings Meg can get from the jug. To divide fractions, we invert the second fraction and multiply. So we have:

14/16 ÷ 1/2 = 14/16 x 2/1 = 28/16

Now, we need to simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 4. So we have:

28/16 = (28 ÷ 4) / (16 ÷ 4) = 7/4

Therefore, Meg can get 7/4 or 1 and 3/4 servings of 1/2 jug from her 7/8 jug of orange juice.

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Answer:

A=6a^2

Step-by-step explnation:

The correct factors of denominator in fraction "(3x-18)/(2x²-5x-3)", is (a) (2x + 1)(x-3).

A fraction is a mathematical expression representing the division of one quantity into parts, consisting of a numerator and a denominator. It represents a ratio or a part-to-whole relationship between two numbers.

To factor the denominator of the fraction (3x-18)/(2x²-5x-3), we need to find two binomial factors that, when multiplied, give us the denominator expression.

The expression 2x²-5x-3 can be factored as follows:

= 2x²-5x-3

= 2x² -6x +1x -3,

= 2x(x-3) + 1(x-3),

= (2x + 1)(x - 3)

Therefore, the correct factors of the denominator are (2x + 1)(x - 3), option (a) is correct.

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The given question is incomplete, the complete question is

Which of the following shows the correct factors of the denominator in the fraction below?

(3x-18)/(2x²-5x-3),

(a) (2x + 1)(x-3)

(b) (2x - 1)(x + 3)

(c) (2x + 1)(x + 3)

(d) (2x - 1)(x-3)​

Uisbg multiple line and angle theorems, the values of each of the 14 angles are given.

Using the geometry theorems :

1.)

∠2 is a right angle = 90°

2.)

∠1 + ∠2 + ∠3 = 180° (sum of angle on a straight line)

90 + ∠1 + 54° = 180°

∠1 = (180 - 144) = 36°

(∠2 and ∠5) ; (∠3 and ∠6) ; (∠1 and ∠4) are vertically opposite ;

Hence,

∠4 = 36°

∠5 = 90°

∠6 = 54°

∠3 = ∠8 = 54° (corresponding angles)

∠9 + ∠8 = 180° (sum of angle on a straight line)

∠9 = (180 - 54) =126°

∠7 = ∠9 = 126° (vertically opposite angles)

∠8 = ∠10 = 54° (vertically opposite angles)

∠4 = ∠13 = 36° (corresponding angles )

∠12 + ∠13 = 180° (sum of angle on a straight line)

∠12 = (180 - 36) =126°

∠11 = ∠13 = 36° (vertically opposite angles)

∠12 = ∠14 = 126° (vertically opposite angles)

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Answer:

D. x > -3 and x < 1

Step-by-step explanation:

There is an absolute value in this inequality, so we have to solve for 2 instances -- where the quantity in the absolute value is positive, and where it is negative.

First, we will isolate the absolute value by dividing by 3:

3|x + 1| < 6

|x + 1| < 2

Then, because this is a less-than case of the absolute value, we can put it in between the positive and negative absolute values of the other side:

-|2| < x + 1 < |2|

-2 < x + 1 < 2

and solve.

-3 < x < 1

(this can also be written as x > -3 and x < 1)

Jimmy's age = (serena age + tyler age) - 1

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer:

156.25

Step-by-step explanation:

\(\frac{1}{0.0064}\\\\\frac{10000}{64}\\ then divide \\)

\(\frac{10000}{64} = \frac{2500}{16} =\frac{625}{4} = 156.25\)

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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A. Using the distance formula, we can state that the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are equal, AC = BD = √50 units.

C. Based on the slopes of each side, there are 4 right angles on the rectangle.

The distance formula is used to find the distance that exist between tow points that are on a coordinate plane. The formula is: d = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\).

What is the Slope of a Line?

Slope = change in y / change in x.

A. The coordinates of each of the vertices of the rectangle are:

A(1, 2)

B(7, 4)

C(8, 1)

D(2, -1)

Use the distance formula to find AB, CD, BC, and AD.

AB = √[(7−1)² + (4−2)²]

AB = √40

CD = √[(2−8)² + (−1−1)²]

CD = √40

BC = √[(8−7)² + (1−4)²]

BC = √10

AD = √[(2−1)² + (−1−2)²]

AD = √10

Therefore, the opposite sides are congruent because AD = BC = √10 units and AB = CD = √40 units.

B. The diagonals are AC and BD. Find their lengths using the distance formula:

AC = √(8−1)² + (1−2)²]

AC = √50 units

BD = √[(2−7)² + (−1−4)²]

BD = √50 units

Therefore, the diagonals are equal, AC = BD = √50 units.

C. Find the slope of AB, CD, BC, and AD:

Slope of AB = change in y / change in x = rise/run = 2/6 = 1/3

Slope of CD = 2/6 = 1/3

Slope of BC = -3/1 = -3

Slope of AD = -3/1 = -3

-3 is the negative reciprocal to 1/3, this means that, if the two lines that meet at a corner have these two slope, then they will form a right angle because they are perpendicular to each other.

Therefore, there are 4 right angles on the rectangle.

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The solution of each part of the question is given below:

a. Let C be the event that a person smokes cigars, and let S be the event that a person smokes cigarettes. The percentage of Americans who smoke either cigars, cigarettes, or both can be calculated as P(C U S), where U represents the union of two events. From the given information, P(C) = 15% and P(S) = 35%. The probability that a person smokes both cigars and cigarettes is 7%, so P(C ∩ S) = 7%.

P(C U S) = P(C) + P(S) - P(C ∩ S)

P(C U S) = 15% + 35% - 7% = 43%

So, 43% of Americans smoke either cigars, cigarettes, or both.

b. The percentage of Americans who smoke neither cigars nor cigarettes can be calculated as P(C' ∩ S'), where C' represents the complement of event C (not smoking cigars) and S' represents the complement of event S (not smoking cigarettes).

P(C' ∩ S') = 100% - P(C U S)

P(C' ∩ S') = 100% - 43% = 57%

So, 57% of Americans smoke neither cigars nor cigarettes.

c. The percentage of Americans who smoke cigars but not cigarettes can be calculated as P(C ∩ S').

P(C ∩ S') = P(C) - P(C ∩ S)

P(C ∩ S') = 15% - 7% = 8%

So, 8% of Americans smoke cigars but not cigarettes.

d. The conditional probability that a person smokes cigarettes given that he smokes cigars can be calculated as P(S | C), where S represents the event that a person smokes cigarettes and C represents the event that a person smokes cigars.

P(S | C) = P(S ∩ C) / P(C)

P(S | C) = 7% / 15% = 0.47

So, the conditional probability that a randomly selected person smokes cigarettes given that he smokes cigars is 0.47, or 47%.

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Answer:

2.5 is greater than 2.

They are not equal

2.5 is in between 2 and 3

Since 3 is greater than 2, and 2.5 is in between them, 2.5 is greater than 2.

Answer:

4X+2=10

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

1=10. x6=60

Answer:

B.61kg

Step-by-step explanation:

use the formula

force÷acceleration=mass

183÷3=61kg

Answer:

3/11

Step-by-step explanation:

You add up all of the candies so 20+19+28 which is 66

18 is the number of strawberry candies so it becomes 18 over 66, 18/66

Symplify 18/66 and it becomes 3/11

The length of the path described by the parametric equations

 is 3/2units.

We can find the length of the path described by the parametric equations x=cos³t and y=sin³t by using the arc length formula.

The arc length formula for a parametric curve given by:

x=f(t) and y=g(t) is given by:

L = ∫[a,b] √[f'(t)² + g'(t)²] dt

where f'(t) and g'(t) are the derivatives of f(t) and g(t), respectively.

In this case, we have:

x = cos³t, so x' = -3cos²t sin t

y = sin³t, so y' = 3sin²t cos t

Therefore,

f'(t)² + g'(t)² = (-3cos²t sin t)² + (3sin²t cos t)²

= 9(cos⁴t sin²t + sin⁴t cos²t)

= 9(cos²t sin²t)(cos²t + sin²t)

= 9(cos²t sin²t)

Thus, we have:

L = ∫[0,2π] √[f'(t)² + g'(t)²] dt

= ∫[0,2π] √[9(cos²t sin²t)] dt

= 3∫[0,2π] sin t cos t dt

Using the identity sin 2t = 2sin t cos t, we can rewrite the integral as:

L = 3/2 ∫[0,2π] sin 2t dt

Integrating, we get:

L = 3/2 [-1/2 cos 2t] from 0 to 2π

= 3/4 (cos 0 - cos 4π)

= 3/2

Therefore, the length of the path described by the parametric equations x=cos³t and y=sin³t is 3/2 units.

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Answer:

1440seconds

Step-by-step explanation:

1min = 60sec

24min = ?

24/1 × 60

1440sec

Answer:

They cross at point (0.571, 4.429)

Step-by-step explanation:

I just did it and got it correct

Please mark me Brainliest

Answer:

Exact form: 163/18

Decimal form: 9.05, 5 repeating

Mixed Number form: 9 1/18

Step-by-step explanation:

I used a calculator pls let me know if im incorrect

Answer:

91°

Step-by-step explanation:

The angles are consecutive interior angles (CIA) which add up to 180°.

180 - 89 = 91

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

\(\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}\)

Substitute:

\(\displaystyle \tan6^\circ = \frac{8}{RX}\)

Take the reciprocal of both sides:

\(\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}\)

Multiply both sides by 8:

\(\displaystyle RX = \frac{8}{\tan6^\circ}\)

Use a calculator (make sure you're in Degrees mode!):

\(\displaystyle RX\approx 76.1149\)

Hence, our answer is B.

Answer:

x = 9

Step-by-step explanation: