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suter [353]
2 years ago
14

Expand the expression 1/2 (3+4t-10)

Mathematics
1 answer:
Alex73 [517]2 years ago
7 0

Answer:3/2 + t - 5

Step-by-step explanation:

1/2(3+4t-10)

Open brackets

3/2 + 4t/2 - 10/2

3/2 + t - 5

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The seasonal output of a new experimental strain of pepper plants was carefully weighed. The mean weight per plant is 15.0 pound
DanielleElmas [232]

Answer:

There are 118 plants that weight between 13 and 16 pounds

Step-by-step explanation:

For any normal random variable X with mean μ and standard deviation σ : X ~ Normal(μ, σ)  

This can be translated into standard normal units by :  

Z = \frac{(X - \mu)}{\sigma}

Let X be the weight of the plant  

X ~ Normal( 15 , 1.75 )  

To find : P( 13 < X < 16 )  

= P(\frac{( 13 - 15 )}{1.75} < Z < \frac{( 16 - 15 )}{1.75})

= P( -1.142857 < Z < 0.5714286 )  

= P( Z < 0.5714286 ) - P( Z < -1.142857 )  

= 0.7161454 - 0.1265490  

= 0.5895965  

So, the probability that any one of the plants weights between 13 and 16 pounds is 0.5895965  

Hence, The expected number of plants out of 200 that will weight between 13 and 16 = 0.5895965 × 200

                                            = 117.9193  

Therefore, There are 118 plants that weight between 13 and 16 pounds.

4 0
3 years ago
I have included a picture of the equation <br><br>​
Alchen [17]

Answer:

it's c , x= 1.5 or -4

2x^2 + 5x - 12 = 0

First factor the left side of the equation

(2x-3)(x+4)=0

Second, set the factors equal to 0

2x-3=0 or x+4=0

 +3  +3       -4  -4

2x=3           -4

divide both side by 2 and you get 3/2 which equals 1.5

x=1.5 or x= -4

3 0
2 years ago
You and your friend are buying throw blankets with your names embroidered on them.The cost of the throw blanket is x dollars and
-BARSIC- [3]
The cost of the blanket is $20
The cost of each letter is $1.50
5 0
3 years ago
Read 2 more answers
What is the slope of this line​
Rashid [163]

Answer:

Slope = 2/3

Step-by-step explanation:

Slope = Change over y (rise) over change over x (run)

Pick two dot points on the line

Count how many units over they are until you get to the next dot, then count how many units up until you reach the next dot

Remember: Y runs vertically, X runs horizontally

Put the unit number that ran vertically on the top, then put the unit number that runs horizontally on the bottom

If needed simplify

The slope is 2/3

5 0
3 years ago
Which Angles are Congruent?
konstantin123 [22]

Answer:

Angle b

Step-by-step explanation:

7 0
2 years ago
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