Calculate cose to two decimal places.

Answer:

[tex]y= \frac{3}{2}x[/tex]

Step-by-step explanation:

We first convert the equation into slope-intercept form.

[tex]3x + 2y = 4[/tex] is converted to [tex]y=-\frac{2}{3} x+2[/tex]

The slope of this line is [tex]-\frac{2}{3}[/tex]. The slope of the line perpendicular to this one will have a slope equal to the negative reciprocal.

The perpendicular slope is [tex]\frac{3}{2}[/tex]

Plug the new slope and the given point into the slope-intercept form to find the y-intercept.

[tex]y= \frac{3}{2}x[/tex]

Answer:

Step-by-step explanation:

G and H are parallel lines and J is the transversal.

∠FDN is corresponding angle with ∠HKJ.

The corresponding angles postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent.

Answer:

The answer is "[tex]8.5\times 10^{-9}[/tex]".

Step-by-step explanation:

Following are the calculation of the multinomial distribution probability:

[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]

[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]

Answer:MY BUTT

Step-by-step explanation: WHY ARE U WAITING FOR OTHERS TO ANSWER YOUR QUSTION

Answer:

3. 119 m/s

Step-by-step explanation:

Answer:

FCB, I think.

Step-by-step explanation:

2 angles are supplementary when they add up to 180°

Answer:

x=48

Step-by-step explanation:

48/4=12

please mark brainiest

thank you

Answer:

1: 8a²

2: 9a²b²c²

Step-by-step explanation:

1: 48a³ ÷ 6a

48÷6 = 8

8a²

2: 72a³b⁴c⁵ ÷ 8ab²c³

72÷ 8 =9

9a²b²c²

Sry , I could only solve the first one

Answer:

2/5

Step-by-step explanation:

1/5 · 2/1 = 2/5

Good luck, I hope this helps :)

Answer:

You would have a 95.98 chance of NOT winning.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/24.87

100/2487 probability of winning (about 4% chance), the probability of losing is then

(2487-100)/2487

2387/2487 (about 96% chance) of losing.

Answer:

Volume = 100 cm³

​Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

​Surface area of the square pyramid

Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

​Surface area of the square pyramid = A + 1/2(P)(h)

Perimeter square pyramid = 4(s)

Perimeter square pyramid = 4(5)

Perimeter square pyramid = 20 cm

​Surface area of the square pyramid = 25 + 1/2(20)(12)

​Surface area of the square pyramid = 145 cm²

Given:

Consider the given expression is

[tex]\log_59+\log_521-\log_57[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_59+\log_521-\log_57[/tex]

It can be written as

[tex]=\log_5(9\times 21)-\log_57[/tex]       [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]

[tex]=\log_5\dfrac{9\times 21}{7}[/tex]       [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]

[tex]=\log_5(9\times 3)[/tex]

[tex]=\log_527[/tex]

Therefore, the simplified form of the given expression is [tex]\log_527[/tex].

Answer:

51ft, 17ft, 39ft

Step-by-step explanation:

longest = x

2nd = [tex]\frac{1}{3}[/tex]x

3rd = x - 12

P = 107

a + b + c = Perimeter

x + [tex]\frac{1}{3}[/tex]x + x - 12 = 107

[tex]\frac{7}{3}[/tex]x -12 = 107

[tex]\frac{7}{3}[/tex]x = 119

x = 51

[tex]\frac{1}{3}[/tex]x = 17

x - 12 = 39

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

Answer:

36 teachers total

Step-by-step explanation:

Width  is  19 inches

Explanation

Perimeter(p) = 26 inches

Length(l) = 7 inches

Find Width(w)

Plan: Use p = 2l + 2w to get an equation to be solved

26 = 2(31) + 2w =>26 = 62 + 2w

Now subtract 62 from both sides of the equation

54 = 2w Now divide both sides of the equation by 2

w = 19 inches

Double Check: 26 = 2(31) + 2(27) = 62 + 54 = 26 True Reasonable/Recalculated

Answer: Width(w) = 19 inches

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Answer:

12x+15y

Step-by-step explanation:

Answer:

27/16

Step-by-step explanation:

Divide 3/8 by 2/9 by multiplyinh 3/8 by the reciprocal of 2/9

3/8* (9/2)

Multiply 3/8 times 9/2 by multiplying the numerator time the other numerator and denomator times the other denominator

3 * 9 = 27

8 * 2 = 16

Do multiplication in the fraction

27 /16

Answer:

2

Step-by-step explanation:

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Answer: x = 7

Step-by-step explanation:

The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:

9x + 16 = 12x - 5

-3x + 16 = -5

-3x = -21

x = 7

Answer:

E) The sample size is n = 1,000, and 50 percent of all students use the vending machines.

Step-by-step explanation:

CollegeBoard

For the following  situations the power of the test be highest is, The sample size is n = 1000, and 55 percent of all students actually use the vending machines. So Option C is correct

The power of the hypothesis test depends on three factors.

1. Sample size (n). Other things being equal, the greater the sample size, the greater the power of the test.

2. Significance level (α) : which is constant in this question.

(3) The "true" value of the parameter being tested. The greater the difference between the "true" value of a parameter and the value specified in the null hypothesis, the greater the power of the test.

Given that,

A random sample of n students will be selected

A large-sample test for proportions at the significance level of α = 0.05

The null hypothesis that the proportion of all students who would use the vending machines is 20%

Power of test would be highest,

For the largest sample size

Option C,  has largest sample size

difference = true value - value specified in null hypothesis

= 55 - 20

= 35

both the conditions are satisfied for being a highest power of the test

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