Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
Answer:
x=4 Inch
Step-by-step explanation:
Length of the Square = 24 Inches
If a Square of Length x cm is cut out from each corner
Length of the Box = 24-x-x=(24-2x) Inches
Width of the Box =24-x-x=(24-2x) Inches
Height of the box = x inches
Volume of a Cuboid = Length X Width X Height
V(x)= x(24-2x)(24-2x)
Simplifying
V(x)=4x(12-x)(12-x)
To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.
V(x)=4x(12-x)(12-x)
Set the derivative equal to zero to obtain the critical points
x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.
When x=4
V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches
When x=4 Inch, the volume, V of the open box is largest.
It should be noted that the z score for Thomas test grade is 0.237.
<h3>How to illustrate the information?</h3>
From the information, Thomas took a test in Social Studies and earned a 74.8 and there is the fact that all the students' test grades in the Social Studies class had a mean of 72.6 and a standard deviation of 9.3,
Therefore, the z score for Thomas test grade will be:
= Test score - Mean / Standard deviation
= 74.8 - 72.6 / 9.3
= 0.237.
Therefore, it should be noted that the z score for Thomas test grade is 0.237.
Learn more about standard deviation on:
brainly.com/question/12402189
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Thomas and Pablo began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Thomas took a test in Social Studies and earned a 74.8, and Pablo took a test in Science and earned a 64.1. Use the fact that all the students' test grades in the Social Studies class had a mean of 72.6 and a standard deviation of 9.3, and all the students' test grades in Science had a mean of 61.1 and a standard deviation of 9.8 to answer the following questions.
Calculate the z score for Thomas test grade.
Answer:
how should I help you with
Complete the equivalent equation for –7x<span> – 60 = </span>x2<span> + 10</span>x.
(x<span> + 5</span>)(x<span> + 12) = 0</span>
What are the solutions of –7x<span> – 60 = </span>x2<span> + 10</span>x?
x<span> = -12 or -5</span>
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