Answer:
Solution of the given expression is 26
Solution of the given expression is 8.67
Step-by-step explanation:
Given:
a] 
b] 
Find the solution;
Computation:
a] 
Step 1 ;
Changed mixed fraction into simple fraction
⇒ 13/3 x 6
Step 2 ;
⇒ 13 x 2
26
Solution of the given expression is 26
b] 
Step 1 ;
Changed mixed fraction into simple fraction
⇒ (13/5) x (10/3)
Step 2 ;
⇒ 130 / 15
8.67
Solution of the given expression is 8.67
Shipment = 72 cases of books + 94 cases of magazines
1 case of books = 35 pounds
1 case of magazines = 23 pounds
Shipment = 72 × 35 + 94 × 23 pounds
72 × 35 = 2520
94 × 23 = 2162
Shipment = 2520 + 2162 pounds
Shipment = 4682 pounds
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 :
Let X be the weight of the plant
X ~ Normal( 15 , 1.75 )
To find : P( 13 < X < 16 )

= 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.
Answer:the size of the button hole is 2.35 cm
Step-by-step explanation:
For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.
The formula for determining the circumference of a circle is expressed as
Circumference = πd or 2πr
Where
d represents the diameter of the circle
π is a constant given as 3.14
From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be
d = circumference/π = 7.38/3.14
d = 2.35 cm
4x^2 = 12x
4x^2 - 12x = 0
4x(x - 3) = 0
4x = 0
x = 0...not this one
x - 3 = 0
x = 3 <== ur number