North is the positive y-direction on a coordinate plane, and 1 unit on the plane represents 1 foot. A soccer ball is kicked dire
ctly east from point (-3,4). If the ball travels a horizontal distance of 23 feet through the air and rolls an extra 14 feet, what are the coordinates of the point where the soccer ball stops
1 answer:
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Answer:
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?
This is 1 subtracted by the pvalue of Z when X = 16. So
has a pvalue of 0.9082
1 - 0.9082 = 0.0918
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Answer: B.) $1,383.53
Step-by-step explanation:
Given: The total number bricks required to make the wall= 830
The speed of crew= 300 bricks/hour
Total hours they take to make the wall=
The cost of labour =$4,000 per eight-hour
⇒The cost of labour for 1 hour =
Now, the cost of wall=
Hence, B is the right answer, the cost of the new wall= $1383.53
Answer:
There cannot be equal errors in both and yellow has fewer errors.
Step-by-step explanation:
we can do paired t test for these two colours
(one tailed test)
df = 9
The data can be tabulated as follows:
Yellow white
5 7
2 6
6 8
7 5
2 9
5 11
3 8
8 3
4 6
9 10
t-Test: Paired Two Sample for Means
Yellow white
Mean 5.1 7.3
Variance 5.877777778 5.788888889
Observations 10 10
Pearson Correlation -0.139051655
Hypothesized Mean Difference 0
df 9
t Stat -1.908439275
P(T<=t) one-tail 0.044341411
t Critical one-tail 1.833112923
P(T<=t) two-tail 0.088682822
t Critical two-tail 2.262157158
Since p value one tailed = 0.0443 and it is <0.05 our significance level, we reject null hypothesis.
There cannot be equal errors in both and yellow has fewer errors.