Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 40
2 pages left to read.
Let P represent the number of pages left to read after t hours.
Complete the equation for the relationship between the number of pages left and number of hours.
Let P represent the number of pages left to read after t hours.
Complete the equation for the relationship between the number of pages left and number of hours.
2 answers:
Answer:
The required equation is
Step-by-step explanation:
Consider the provided information.
Let P represent the number of pages left to read after t hours.
Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.
Total number of page Shryia read in 1.5 hours is:
480-402 = 78
It is given that the rate is constant i.e 1.5 hours,
Therefore, she read 78 pages in 1.5 hours.
She can read page per hour
The required equation is:
Where t represents the number of hours.
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Answer:
262 square feet of the ramp will be painted red.
Step-by-step explanation:
The lateral surface is surface area of the sides of the ramp without including the top and bottom faces
The ramp shown has three surfaces
The 2 sides are triangles with length 20 and height 8.5
The back is a rectangle shape with length 12 and height 8.5
Step 1: Finding the Area of triangle
The area of the triangle =
The area of the triangle =
The area of the triangle =
The area of the triangle = 85 square feet
Area of 2 triangles = = 170
Step 2: Finding the Area of Rectangle
Area of rectangle =
so,
Area of back rectangle = = 102 square feet
Step 3: Finding the total lateral surface area
Total Lateral Surface Area
= Area of triangle + Area of Rectangle
= 272 square feet
Answer:
(a) <em>H₀</em>: <em>μ</em> = 5 vs. <em>Hₐ</em>: <em>μ</em> ≠ 5.
(b) The test statistic value is -3.67.
(c) The <em>p</em>-value of the test is 0.0025.
(d) The mean amount of time spent in the shower by an adult is different from 5 minutes.
Step-by-step explanation:
In this case we need to test whether the mean amount of time that college students spend in the shower is significantly different from 5 minutes.
The information provided is:
(a)
The hypothesis for the test can be defined as follows:
<em>H₀</em>: The mean amount of time spent in the shower by an adult is 5 minutes, i.e. <em>μ</em> = 5.
<em>Hₐ</em>: The mean amount of time spent in the shower by an adult is different from 5 minutes, i.e. <em>μ</em> ≠ 5.
(b)
As the population standard deviation is not known we will use a <em>t</em>-test for single mean.
Compute the test statistic value as follows:
Thus, the test statistic value is -3.67.
(c)
Compute the <em>p</em>-value of the test as follows:
*Use a <em>t</em>-table.
Thus, the <em>p</em>-value of the test is 0.0025.
(d)
Decision rule:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
<em>p</em>-value = 0.0025 < <em>α</em> = 0.01
The null hypothesis will be rejected at 1% level of significance.
Thus, concluding that the mean amount of time spent in the shower by an adult is different from 5 minutes.