Answer:
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
Step-by-step explanation:
When multiplying or dividing an inequality by a negative "flip" the inequality sign
The student should have switched the direction of the inequality sign to
get –5 > x for a final answer.
---------------
Note:
For a more conventional appearance the entire inequality can be flipped to
–5 < x
In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What is the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth?
The probability that a randomly selected student from the all-boys school will be shorter than 63 inches tall is approximately 0.9%.
To find the probability that a randomly selected student will be shorter than 63 inches tall, we need to use the standard normal distribution table or a statistical calculator.
Calculate the z-score for the value of 63 inches using the formula:
z = (X - μ) / σ
where X is the value (63 inches), μ is the mean (70 inches), and σ is the standard deviation (3 inches).
z = (63 - 70) / 3
z = -7 / 3
z = -2.3333
Now, we look up the area to the left of the z-score -2.3333 in the standard normal distribution table.
Using a standard normal distribution table, the cumulative probability for z = -2.33 (rounded to two decimal places) is approximately 0.009.
So, the probability that a randomly selected student will be shorter than 63 inches tall is approximately 0.009 or 0.9% (rounded to the nearest thousandth).
To learn more on Statistics click:
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4
Select the correct answer.
Which of the equations below represents a line parallel to the yaxis?
A. X= -y
B. X= 4y
C.x=y
D.X= 4
HELP
Answer:
x=4
Step-by-step explanation:
The y axis is a line where the value of x does not change ( x=0)
It is a vertical line
The only line where the value of x does not change is x=4
It is a vertical line at x=4
Which two products can add to find 9 times 4?
Answer:
2x18=36
im not sure if that's what you meant but i can answer again if you want
Step-by-step explanation:
Answer:
sin ( 330 )
csc ( 60 )
cos ( 390 )
Step-by-step explanation:
The area of the base of a rectangular prism is 40 squared inches. If the length of the prism is 4 inches, and the height of the prism is 5 inches, what is the total surface area of the rectangular prism
Answer:
220
Step-by-step explanation:
What is the measure of
Answer: Measure of what?
Answer:
measurement of what-?
pls help fast i will give brainliest to the first answer i swear
Answer:
Green block= 5x5x5= 125 cm
Flat white block= 1x4x5= 20 cm
Standing white block= 9x3x7= 189 cm
Blue block= 3x4x2.5= 30 cm
The fridge= 174x57=9918 604998 divided by 9918 = 61 d= 61 cm
Step-by-step explanation:
Find the surface area of the prism.
Answer:
792 feet
Step-by-step explanation:
based on my calculations this is the answers.
792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.
At noon three students, Abby, Ben, and Cassie, are standing so that Abby is m west of Ben and Cassie is m east of Ben. While Ben stays in his initial position, Abby begins walking south at a constant rate of m/min and Cassie begins walking north at a constant rate of m/min. In how many minutes will the distance between Cassie and Ben be twice the distance between Abby and Ben?
Answer:
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .
A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .
solution 2
Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.
In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in
minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .
Select the correct answer.
The daily high temperature of Elk Creek drops by 1.2°C every day. What is the net change in the daily high temperature after two calendar weeks?
Answer: the correct answer is 16.8°C.
Step-by-step explanation:
Answer:
-16.8
the number is in the negatives because the temperature is dropping
I hope this helps
solve for cos(57)=x/15
Step-by-step explanation:
cos(57)=x/15
0.544×15=xx=8.16stay safe healthy and happy.Answer:
If you mean 57 degrees then the answer is 8.1695...
If you mean 57 radians then the answer is 13.498...
Step-by-step explanation:
Isolate the x by multiplying 15 on both sides
15 x cos(57) = x
Help
Please edge 21 I really need help I don’t want to go to summer school
Answer:
C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts
Step-by-step explanation:
it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.
Use cosine law to find the value of x. Show working. use ^ for power and sqrt for square root
Answer:
x ≈ 11.89
Step-by-step explanation:
Using the cosine rule
x² = 4² + 9² - ( 2 × 4 × 9 × cos128° )
= 16 + 81 - 72cos128°
= 97 - (- 44.33 )
= 141.33 ( take the square root of both sides )
x = [tex]\sqrt{141.33}[/tex] ≈ 11.89 ( to 2 dec. places )
Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four-year term of the loan, what was the rate of simple interest?
Answer:
The rate is 3 percentage
PLS HELP ME WITH THIS QUESTION!!
Answer:
a
Step-by-step explanation:
PLEASE HELP THANK YOU BRANLIEST IS PROVIDED
Answer:
Solution given;
area of semi circle=½πr²=1/2×3.14×4²=25.12in²
area of rectangle ABCD=l×b=8×13=104in²
area of rectangle CEFI=l×b=3×6=18in²
Total area =25.12+104+18=147.12in²
Area of circle
πr²π(7+6-5/2)²π(8/2)²16π25.12in²Area of centre rectangle
8(13)104in²Area of right rectangle
3(6)18in²Total
18+104+25.12122+25.12147.12in²Can someone please help me with math.
Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false
Answer:
true
Step-by-step explanation:
subject?
Correct I’ll give brainlist no links or I’ll report
PLEASE HELP!
What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12
Answer:
y=-5
Step-by-step explanation:
ASAP someone please help. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 58
b. 28, 47
c. 65, 25
Answer:
c
Step-by-step explanation:
Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30
===========================================================
Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
p+q > rp+r > qq+r > pIf any of those three are false, then we cannot make a triangle with side lengths p,q,r
-----------------
Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
20/100 + 4/10 =20/100 + x = x move a fraction to make the equation true
Answer:
remove 4/10
20/100=20/100= 1 which is x
Step-by-step explanation:
Mrk ME BRAINLIEST PLZZZZZZZZZZ
AkkakamakjakakaijJaja
Answer:
B
Step-by-step explanation:
I first combined like terms. next I subtracted the x on the left from both sides. Lastly, I subtracted 3 from both sides. hope this helped!
Which expresion is equivalent to -5 -(-7)?
HURRY 20 POINTS
Answer:
2 (the answer should have a positive sign.)The equivalent to -5-(-7) is -5+7.Step-by-step explanation:
To solve this problem, use the order of operations.
PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
[tex]\sf{-5-(-7)=-5+7}[/tex]
[tex]\sf{-5+7}[/tex]
Add or subtract.
Solve.
[tex]-5+7=2[/tex]
[tex]\large\boxed{2}[/tex]
So, the correct answer is 2.
Answer:3+(px6)
Step-by-step explanation:
Ethan is practicing kicking field goals before a football game. He starts by kicking from 22 yards and increases his distance by 3.5 yards
every minute. He uses the equation shown to find the distance of his kicks (y), in yards, after different numbers of minutes (x).
y = 3.5x + 22
After how many minutes will Ethan be kicking from 50 yards?
a 4
6 7
8
d 9
does anybbody know the answer to this? #help
Answer:
each tube costs $1.5 so put it the point in between 1 and 2
thank you
Step-by-step explanation:
true or false dialations of an angle are congruent to the original angle
Answer: True
Step-by-step explanation: Dilations do not change the angle measure. All line segments are changed by the same factor, therefore the angle remains the same.
Helpppp chile. I’m stuck sidnfifnfig vkfniffnf
Step-by-step explanation:
12*4 - 2*2
48 - 4
44 ft of carpet.
complete the square f(x)=x^2-12x-4
Answer:
Solve for x over the real numbers:
x^2 - 12 x - 4 = 0
Add 4 to both sides:
x^2 - 12 x = 4
Add 36 to both sides:
x^2 - 12 x + 36 = 40
Write the left hand side as a square:
(x - 6)^2 = 40
Take the square root of both sides:
x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)
Add 6 to both sides:
x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)
Add 6 to both sides:
Answer: |
| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)
Find the distance between the points (4,3) and (1,0).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
[tex]distance = \sqrt{(x_{1} -x_{2})^2+(y_{1} -y_{2})^2 }[/tex]
[tex]=\sqrt{(1-4)^2+(0-3)^2 } \\=\sqrt{3^2 + 3^2}\\=\sqrt{18}\\=3\sqrt{2}[/tex]
Answer:
3√2
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(0 - 3)² + (1 - 4)²
√(-3)² + (-3)²
√(9) + (9)
√18
3√2