Answer: 76.28 approximately 76
Step-by-step explanation:
Ryan bought fishing gear for 51.50, 14.99 and 5.79.
Total fishing gear bought will be the addition of the 3 fishing gear.
51.50 + 14.99 + 5.79= 72.28
The sales tax is the multiplication of the total fishing gear by 0.05
= 72.28 × 0.05
= 3.614 which is approximately 4
Amount paid by Ryan will be
Total fishing gear + Sales tax
= 72.28 + 4
= 76.28 approximately 76.
Answer:
63.2 = y
Step-by-step explanation:
The perimeter is the sum of all the sides
P = 7.8+ y+37.6 + y
171.8 = 7.8+ y+37.6 + y
Combine like terms
171.8 = 45.4 + 2y
Subtract 45.4 from both sides
171.8-45.4 = 45.4 + 2y -45.4
126.4 = 2y
Divide each side by 2
126.4/2 = 2y/2
63.2 = y
Answer:
A person must get an IQ score of at least 138.885 to qualify.
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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 115, \sigma = 17](https://tex.z-dn.net/?f=%5Cmu%20%3D%20115%2C%20%5Csigma%20%3D%2017)
(a). [7pts] What IQ score must a person get to qualify
Top 8%, so at least the 100-8 = 92th percentile.
Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![1.405 = \frac{X - 115}{17}](https://tex.z-dn.net/?f=1.405%20%3D%20%5Cfrac%7BX%20-%20115%7D%7B17%7D)
![X - 115 = 17*1.405](https://tex.z-dn.net/?f=X%20-%20115%20%3D%2017%2A1.405)
![X = 138.885](https://tex.z-dn.net/?f=X%20%3D%20138.885)
A person must get an IQ score of at least 138.885 to qualify.
Answer:
Step-by-step explanation:
x₁ = 0 ; y₁=0 &
x₂ = 1 ; y₂=2
Slope =![\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
![=\dfrac{2-0}{1-0}\\\\\\=\dfrac{2}{1}\\\\\\= 2](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B2-0%7D%7B1-0%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B2%7D%7B1%7D%5C%5C%5C%5C%5C%5C%3D%202)
Slope = 2