Answer: 0.38
Step-by-step explanation:
Since the variable x is represented by a standard normal distribution, the probability of x > 0.3 will be calculated thus:
P(x > 0.3)
Then, we will use a standard normal table
P(z > 0.3)
= 1 - p(z < 0.3)
= 1 - 0.62
= 0.38
Therefore, p(x > 0.3) = 0.38
The probability of x > 0.3 is 0.38.
Answer:
Step-by-step explanation:
Given
Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints
Open bracket
Next, determine the slope of the given endpoints.
Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:
In this case:
So:
Since the slope is 
, the equation is:
Where:
Recall that:
So:
Hence, the equation is:
There's two ways to do this.
The first way:
Work out the amount of sugar needed to make one cake, and then multiply that by 7.
30 grams ÷ 4 cakes = 7.5 grams for 1 cake.
7.5 grams × 7 cakes = 52.5 grams for 7 cakes.
The second way:
Work out the ratio of sugar:cake by doing 7 ÷ 4, and then multiplying that value by 30.
7 cakes ÷ 4 cakes = 1.75
1.75 × 30 grams = 52.5 grams for 7 cakes.
Either way, the answer is 52.5 grams.
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