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noname [10]
3 years ago
6

-3 is a solution to 4x + 2 < -6

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

-3 is a solution

Step-by-step explanation:

4x+2 < -6

subtract 2 from each side

4x < -8

divide by 2

x < -2

-3 is a solution


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Most adults would not erase all of their personal information online if they could. A software firm survey of 480 randomly selec
Westkost [7]

Answer:

-7.90

Step-by-step explanation:

Let's write the null hypothesis (H0) and alternative hypothesis (Ha) from the claim statement

P = population proportion of adults who would erase all of their personal information online if they could

H_{0}:P=0.5

H1 P< 0.5

Let's write the given information:

n = sample size = 480

sample proportion = \hat p = 0.35

formula of z test statistic for one sample proportion test is as follows:

Z=\frac{\hat p-P}{\sqrt{\frac{P\times(1-P)}{n}}}

plug the above values in the above formula we get

Z =\frac{0.35-0.5}{\sqrt{\frac{0.35(1-0.5)}{480}}}=Z=-7.85584

So that the test statistic value is -7.90 (Rounded up to two decimal places)

3 0
3 years ago
Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib
olasank [31]
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
6 0
3 years ago
What is an expression that equals 24 but includes an exponet
quester [9]

3 x (2)³ is an expression that's equal to 24 .

6 0
3 years ago
Find the probability of rolling a 5 or greater on the first die and a 2 or greater on the second die
bekas [8.4K]

Answer:

The probability is 1/9

Step-by-step explanation:

The probability of rolling a 5 the first time is 1/6

The probability of rolling a number greater than 2

Numbers greater than 2 are 3, 4, 5, 6

So the probability of rolling a number out of these four is 4/6

So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be

1/6 * 4/6 = 4/36 = 1/9

6 0
3 years ago
Read 2 more answers
Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.​
Eduardwww [97]

Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>

<em><u>Add equation (iii) &  (iv)-</u></em>

9 x + 6 y = 15 a + 3 a...................(iii)

<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)

17 x = 17 a + 17 b

<u>x = a + b</u>

Put x = a + b in equation (i)-

<em>2 y = 5 a + b - 3 a - 3 b</em>

<em>2 y = 2 a - 2 b</em>

<u>y = a - b </u>

<em>∴ y - x = a - b - ( a + b )</em>

<em>y - x = a - b - a - b</em>

y - x = - 2 b

3 0
2 years ago
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