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Amiraneli [1.4K]
3 years ago
7

Find the missing coefficient in the equation of the line that passes through the given point.

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0

Answer:

5) A = 4

6) B = -1

Step-by-step explanation:

Question 5

Substitute (2, -5) into the equation to find the missing coefficient

A(2) + (-5) = 3

2A - 5 = 3

2A = 8

A = 4

Question 6

Substitute (2, 7) into the equation to find the missing coefficient

3(2) + B(7) = -1

6 + 7B = -1

7B = -7

B = -1

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Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household incom
kondor19780726 [428]

Answer:

0.02

Step-by-step explanation:

Given a normal distribution :

Mean income (m) = 25000

Standard deviation of income (s) = 6000

X ≥ 12000

Using the relation to fund the standardized score :

Zscore =(x - m) / s

Zscore = ( 12000 - 25000) / 6000

Zscore = -13000 / 6000

Zscore = - 2.167

Using a z probability calculator :

P(Z ≤ - 2.167) = 0.015117

= 0.02

3 0
4 years ago
What is the difference between solving an equation and an inequality?
statuscvo [17]
When you solve an equation, it has an equal sign (=) and inequalities do not. When you solve an inequality the answer isn't exact (depending on the sign ie: <, >, etc...) equations usually are exact answers. other than that, I don't think there is a big difference in solving them.
5 0
3 years ago
Thank you so much!!!
vova2212 [387]

Answer:

\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}

Step-by-step explanation:

(1) A typical form of equation of a line is:

y = Mx + b

with, M is slope and b is y-intercept.

(2) Another straight line has equation in form of:

y = Nx + c

with N is slope and c is y-intercept

(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:

M x N = -1

(4) Transform the given equation of original line into typical form:

      7x + 4y = -24\\

<=> 4y = -7x - 24

<=>  y = (\frac{-7}{4})x  - \frac{24}{4}

<=> y = (\frac{-7}{4})x - 6

=> M = \frac{-7}{4}

=> N = \frac{-1}{M}  = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}

=> Option D: y = (\frac{4}{7})x + 8 is correct (Slope = \frac{4}{7})

Hope this helps!

:)

4 0
3 years ago
Richard practiced each of 3 piano solos for 5/12 hour. Expressed in simplest form, how long did he practice in all.
larisa86 [58]
Each hour has 60 minutes, so we need to compute 5/12 of 60 min which is \frac{5}{12} (60 min) = 5(5) = 25 min
8 0
4 years ago
Read 2 more answers
This question is the on I need help with
allsm [11]

let's recall that there are 16oz in 1 lbs, so then 12lbs is 12*16 = 192oz, plus 5, that makes it 197oz, so then 12lb 5oz is really 197oz.

likewise, 7lb is 7*16 = 112oz, plus 10 that makes it 122oz.

197 - 122 = 75 oz

and 75 oz is just 16+16+16+16+11, 4lbs and 11 oz.

3 0
3 years ago
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