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Minchanka [31]
3 years ago
15

92 : (62 – 52 + 4 · 7 – 24)

Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0
Answer : 99

Step by step explanation
STatiana [176]3 years ago
3 0

Answer:

99

Step-by-step explanation:

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If a cookie recipe that makes 2 dozen cookies calls for 2 1/4 cups of flour, how cups of flour do you need to make 5 dozen cooki
Schach [20]

Answer:

5. 5/8 flour needed to make 5 dozen cookies

Step-by-step explanation:

2 dozen= 24

5 dozen=60

It takes 1 1/8 flour for 1 dozen cookies so 1 1/8 x 5= 5.625 in fraction form that= 5 5/8

5 0
3 years ago
The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new
Stells [14]

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%

3 0
3 years ago
Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
A book had a lenght of 5 inches and a width of 10 inches. What is the area of the book
babunello [35]

Answer:

50

Step-by-step explanation:

7 0
3 years ago
Mariah was playing a game where she gets a point if her spinner lands on a multiple of 3. What is the probability that she will
DedPeter [7]

Answer:

She has a 67% chance of getting anything other than a multiple of 3.

Step-by-step explanation:

8 to 4

7 0
3 years ago
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