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Minchanka [31]
3 years ago
14

-2(7 + y) ≥ -8(y + 1) Write the solution to each inequality.

Mathematics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

y > 1

Step-by-step explanation:

You might be interested in
Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

8 0
3 years ago
What is the distance between A and B? Round your answer to the nearest tenth.
poizon [28]
\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad &#10;B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;AB=\sqrt{[4-(-1)]^2+[1-5]^2}\implies AB=\sqrt{(4+1)^2+(1-5)^2}&#10;\\\\\\&#10;AB=\sqrt{5^2+(-4)^2}\implies AB=\sqrt{41}
4 0
3 years ago
Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.
Pavel [41]
Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6   k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
y=- \frac{3}{5}x+3 \ or \ 3x+5y=15
3 0
2 years ago
The diameter of the wheel is 22 inches what is the circumference of the world use 3.14 for pie
DiKsa [7]

Answer:

69.08 inches

Step-by-step explanation:

Circumference of the wheel

= 2 pi r

Given

Pi = 3.14

Radius r = diameter/2 = 22/2

= 11

Therefore

Circumference = 2 x 3.14 x 11

= 69.08 inches

5 0
3 years ago
Need help with factoring, x squared minus 8x +15
wariber [46]

Answer:

(x-3)(x-5)

Step-by-step explanation:

X^2-8x+15

Break the expression into groups

(x^2-3x)+(-5x+15)

Factor out x from x^2-3x

Factor out -5 from -5x+15: -5(x-3)

=x(x-3)-5(x-3)

Factor out common term x-3

=(x-3)(x-5)

Thanks for letting me help!!

7 0
3 years ago
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