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Anton [14]
2 years ago
10

Solve for the ? in the diagram below.​

Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

Answer:

step by step!

Step-by-step explanation:

let it be know, that ALL triangles equal up to 180 degrees. we know that triangle a has a 90 degree angle. first lets find the missing angle (purple question mark in triangle a): 25 + 90 = 115. 180 - 115 = 65.

you also know that the blue line is 180 degrees, so you can use the given measurement, 75, and the on you just found, 65, to find the last one. 65 + 75 = 140. 180 - 140 = 40 (purple question mark in triangle b).

now looking at triangle b, the given measurement, 40, and the one you just found, also 40, PLUS the ?, will equal 180. to do this you will do 40 + 40 = 80. 180 - 80 = 100.

? equals to 100 degrees.

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A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the lengt
Sav [38]

Answer:

a) σ  = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) =  -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ  = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score)  = ( 11,75 - 12 ) / 0,1612

z₁  = - 0,25/ 0,1612

z₁  = -1,55

From z table  P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table  P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 -  0,0606

P [ 11,75 < X < 12,35] = 0,92,44   or    92,44 %

5 0
3 years ago
Help please.
FrozenT [24]

Answer:

B think

Step-by-step explanation:

4 0
3 years ago
Misha is think of a negative integer greater than -4. What number could she be thinking of?
sammy [17]

Answer:

-5

Step-by-step explanation:

5 0
2 years ago
50 POINTS A cell phone company charges a monthly base fee for a phone plan with a limit of 500 text messages. A $0.10 fee is cha
serg [7]

Answer:

y = n +.1x

Step-by-step explanation:

y is the total. x is how much over 500 texts she is. n is her base for 500 texts and less.

8 0
2 years ago
The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 so
Shalnov [3]

Answer:

$1.475 is the average amount of snack sales per ticket sold.

Step-by-step explanation:

We are given the following in the question:

Number of popcorn bags sold = 3

Cost of  a popcorn bag = $2.25

Total cost of popcorn bag = 2.25\times 3 = $6.75

Number of soda sold = 4

Cost of  a soda = $1.50

Total cost of soda = 1.50\times 4 = $6.00

Number of candy bars sold = 2

Cost of  a candy bar = $1.00

Total cost of candy bars =  1.00\times 2 = $2.00

Total sales =

Total cost of popcorn + Total cost of soda + Total cost of candy bar

= 6.75 + 6 + 2\\=\$14.75

\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Average amount of snack sales per ticket sold =

\dfrac{\text{Total sales}}{\text{Number of tickets}} = \dfrac{14.75}{10} = 1.475

Thus, $1.475 is the average amount of snack sales per ticket sold.

5 0
3 years ago
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