Answer:
AB =
Step-by-step explanation:
calculate the distance using the distance formula
d =
with (x₁, y₁ ) = B (3, 2 ) and (x₂, y₂ ) = A (7, 4 )
AB =
=
=
=
≈ 4.47 ( to 2 dec. places )
Translate this phrase into an algebraic expression. The sum of 15 and twice Vidya's age Use the variable v to represent Vidya's
2 answers:
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Answer:
The answer is<em> 4.</em>
Step-by-step explanation:
Olives garden has area=
Each watermelon plants she want to grow require an area=
Hence, the number of watermelon plants she can grow in that garden is given by:
Number of watermelon plants she can grow= (Total area)/( Area 1 watermelon plant requires)
Hence, Number of watermelon plants she can grow=
Hence, she can grow 4 watermelon plants in Olives garden.
Answer:
68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Looking at a random sample of 8 jobs that it has contracted, find the probability that x (number of jobs finished on time) is within one standard deviation of the mean.
Within 1 standard deviation of the mean is from Z = -1 to Z = 1. So this probability is the pvalue of Z = 1 subtracted by the pvalue of Z = -1.
Z = 1 has a pvalue of 0.8413
Z = -1 has a pvalue of 0.1587
So there is a 0.8413 - 0.1587 = 0.6826 = 68.26% probability that the number of jobs finished on time is within 1 standard deviation of the mean.
Answer:
When f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
Step-by-step explanation:
- We know that when we add a number 'a' to the input of the function, it would move the parent function 'a' units to the left.
In other words, the rule is:
- f(x + a) will shift the parent function 'a units' to the left.
Given the function
Thus, when f(x) is replaced by f(x+5), it will shift the parent function '5 units' to the left.
- The effect on the graph of the linear parent function is shown in the attached diagram.
In the graph, the red line is representing the parent function f(x) and the blue line is representing the effect on the graph i.e. f(x+5).
