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rodikova [14]
3 years ago
10

HELP ME OUT

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

y=1/4x

Step-by-step explanation:

each y is 1/4 of the x value

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The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
Ad libitum [116K]

Answer: a. 0.14085

b. 3.826 x 10^{-3}

c.  0.5437

d. 0.0811  

Step-by-step explanation:

Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , \mu = $527

Given standard deviation , \sigma = $160

Let X = amount spent on a randomly selected child

Also Z = \frac{X-\mu}{\sigma}

a. Probability(X>$700) = P(\frac{X-\mu}{\sigma} > \frac{700-527}{160}) = P(Z>1.08125) = 0.14085 {Using Z % table}

b. P(X<100) = P( Z < \frac{100-527}{160}) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 10^{-3}

c. P(450<X<700) = P(X<700) - P(X<=450)

   P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592

   P(X<=450) = P(Z<= \frac{450-527}{160}) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155

   So final   P(450<X<700) =  0.8592 - 0.3155 = 0.5437

d. P(X<=300) = P(Z<= \frac{300-527}{160}) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811                                                                        

All the above probabilities are calculated using Z % table along with interpolation between two values.

7 0
3 years ago
Solve each inequality and graph its solution. Can you guys solve all three please. This is do soon so please help!
mart [117]
<h2>Hi ☘</h2>

1-A 2-A 3-B

- 104 \geqslant  - 8b - 8

put -8 near -104

- 104 + 8 \geqslant  - 8b

- 96 \geqslant  - 8b

b will be alone.

\frac{ - 96}{ - 8}   \geqslant   \frac{ - 8b}{ - 8}

b  \geqslant 12

Answer A

3m - 7 >  - 4

3m >  - 4 + 7

3m > 3

\frac{3m}{3}  >  \frac{3}{3}

m > 1

Answer A

İf

m \geqslant 1

The answer would be D

But answer A

- 4x + 4 >  - 16

16 + 4  >  + 4x

20 > 4x

\frac{20}{4}  >  \frac{4x}{4}

x < 5

Answer B

<em><u>We</u></em><em><u> </u></em><em><u>learnt this</u></em><em><u> </u></em><em><u>way in Turkey</u></em><em><u>.</u></em>

3 0
3 years ago
What is the slope between these two points? (2,5) (8, 12)
Minchanka [31]

Answer:

7/6

Step-by-step explanation:

y2-y1/x2-x1(slope formula)

plug in numbers

12-5=7

8-2=6

hence 7/6

7 0
3 years ago
Cual es la ecuacion lineal de estos infinita solucion o no solucion<br>​
coldgirl [10]

Cuando has simplificado la ecuación lo mas posible y las expresiones de los dos lados quedan iguales, hay soluciones infinitas.  Pero, dado que lo has simplificado y son diferentes, no hay solución.

1.) 7x = 12 + 7x - 12

=> 7x = 7x => infinita solución

2.) x - 11 = 11 + x

=> x = 22 + x => no solución

3.) 2(4x - 6) = 8(x + 2)

=> 8x - 12 = 8x + 16 => 8x = 8x + 28 => no solución

4.) 2x - 9 = 2x - 9

=> infinita solución

5.) 8 + 4x = 4x + 10

=> 4x = 4x - 2 => no solución

6 0
3 years ago
A rectangle with a length of 6 inches and a width of 1 foot has a perimeter of 14 inches.
Pachacha [2.7K]
The length is 6 inches.
The width is 1 foot = 12 inches.

The perimeter is  (6 + 12 + 6 + 12) = 36 inches (3 feet) .

"14 inches" is false.
7 0
3 years ago
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