Answer:
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
Mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons.
This means that [tex]\mu = 15.8, \sigma = 4.2[/tex]
What is probability that a truck will weigh less than 14.3 tons?
This is the pvalue of Z when X = 14.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14.3 - 15.8}{4.2}[/tex]
[tex]Z = -0.36[/tex]
[tex]Z = -0.36[/tex] has a pvalue of 0.3594
0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons
What is the perimeter of the figure?"
9514 1404 393
Answer:
46 yd
Step-by-step explanation:
The sum of horizontal lengths across the top is 8+6 = 14 yd. The length across the bottom is the same, so the total of horizontal lengths is
14 yd +14 yd = 28 yd
The sum of vertical lengths at the right is the same as the sum of vertical lengths at the left, 9 yd, so the total of vertical lengths is ...
9 yd + 9 yd = 18 yd
The total of all lengths around the perimeter of the figure is ...
28 yd + 18 yd = 46 yd
Michael is debating the two job offers below. Determine which will result in a higher income.
OFFER A
$34,500 ANNUALLY
OFFER B
$2,885 MONTHLY
B
Step-by-step explanation:
In a year, offer B would be more. Since annually is once a year and there are 12 months in a year, multiplying B by 12 would get each to a year.
If a pyramid prism has a height of 12 ft and a square base with side = 10
ft. What is the surface are of the pyramid?
160 sq. ft
1,340 sq. ft
240 sq. ft
340 sq. ft
Find the surface area of a cylinder with a diameter of 8
yards and a height of 9 yards.
Answer:
a=326.76 yd^2
Step-by-step explanation:
a= 2pi(d/2)h+2pi(d/2)^2=2pi(8/2)9+2pi(8/2)^2= 326.72564yd^2
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
Pls someone help me with this question pls
Answer:
c
Step-by-step explanation:
trust me i am did the test aredy
GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee
Answer:
the answer is 29.7
Step-by-step explanation:
inverse tangent of (4/7)
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n= 8? O 122 - 6+ 10; when n= 8, the value is 8. 12 O B- 6- 5+10; when n = 8, the value is 12. 02-6+10; when n = 8, the value is 11. O 6-9 +10, when n = 8, the value is 9
Answer:
the answer is 8
Step-by-step explanation:
the expression is written as (n/2 - 6)+ 10
therefore when n=8..
(8/2 - 6) + 10
we now have, (4-6)+10
(-2)+10=8...
Darby’s Breakfast table an square tabletop what are your area of 36 ft.²
Answer:
Diagonal length = 8.59
Step-by-step explanation:
To find the diagonal length, we need the length of the sides. We find the length of the sides by finding the square root of 36, which is 6. Then, we use this equation (see attached image)
Suppose that there are 27 sophomores and 14 juniors in a Physiology class. Two students are chosen at random to participate in a class demonstration. What is the
probability of choosing two students at random and the first is a junior and the second one is a sophomore? Round your answer to four decimal places, if necessary.
Without calculating, which pyramid has the greater surface area? Explain
Answer:
Pyramid on the left
Step-by-step explanation:
It has bigger measurements and looks much bigger and wider than the one on the right.
Please help!!!
No links
Answer:
D Not similar
Step-by-step explanation:
For similar triangles the sides are always in proportions.
Here two sides are in proportion but third side isn't. So triangles are not similar.
Simplify the expression:
3(2+8p)
A. 6+24p
B. 30p
C. 3(10p)
D. 6p+24
Answer:
A. 6+24p
Step-by-step explanation:
=(3)(2+8p)
=(3)(2)+(3)(8p)
=6+24p
=24p+6
Which value below is equivalent to the expression 5 – 2(3 + 9) + 4?
A. -23
B. -15
C. 33
D. 40
Answer:
40
Step-by-step explanation:
5-2(3+9)+4
5-2(12)+4
3(12)+4
36+4
40
Example 5:
Mrs. Williams writes the following number on the board.
276,954
She instructs her students to write a number where the value of the 6 in their number is 10
times greater than the value of the 6 in the number on the board. Duwan writes the number
286,123. Is his answer correct? Explain how you know.
Answer:
No Duwan is in incorrect.
Step-by-step explanation:
When it asks for a number to be 10x greater, the answer would be in a digit that is 1 greater. For example 10x greater than 10 would be 100. You move the digit up once. An answer that Duwan could have used is: 260,000.
Which algebraic expression represents this mathematical statement?
the product of 7 and a number
Answer:
C. 7 * n
Step-by-step explanation:
URGENT! I will brainlist the correct first answer
Answer:
-25p
Step-by-step explanation:
I need help with these, the answer options are as follows: always true, sometimes true, never true
Thank you!!
pls it's due today.
Answer:
43.65 cm squared
Step-by-step explanation:
Find the properties of each Quadratic Function
Answer:
1.) up
2.) (-2,-5)
3.) x = -2
4.) (-2,-5)
5.) y = -5
6.) -∞ < x < ∞
7.) -5 < y < ∞
8.) (0,0)
9.) (0,0) and (-4,0)
10.) two solutions
Step-by-step explanation:
1.) because the parabola opens upward and the vertex is down
2.) the lowest point of the parabola is (-2,-5)
3.) If a line was drawn through the point x = -2, the two halves of the parabola would look symmetrical ( the same on both sides).
4.) The minimum point on the graph is ( -2,-5), because that is the lowest point on this upward parabola, and we can not determine the maximum.
5.) The minimum value of y is y = -5, because that is the lowest value of y on this graph, and we can not determine the maximum.
6.) Because the arms of the parabola continue traveling through negative infinity and positive infinity on the x-axis, the domain is -∞ < x < ∞.
7.) The arms of the parabola go from y = -5 to infinity, so the range of the parabola is -5 < y < ∞.
8.) The parabola first crosses the y-axis at the point (0,0)
9.) The parabola first crosses the x-axis at the points (0,0) and (-4,0)
10,) The solution to the parabola is the variable x. The solutions (x intercepts) of the parabola are x = 0 and x = -4.
Does this help you?
Max wants to buy shirts that cost $8 each. He also wants to buy a pair of sneakers for $39. A. Write an inequality that represents the maximum number of shirts he can buy if he has $75
Answer:
a) $39+8x<75$, b) no, c) at most 4 pairs
Step-by-step explanation:
Evaluate the following expression.
6^-3
Answer:
.0046, if you mean the -3 to be an exponent
Step-by-step explanation:
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
If you have any questions feel free to ask in the comments
A copy machine makes 136 copies in 4 minutes and 15 seconds. How many copies does it make per minute?
Answer:
The copy machine makes 32 copies per minute.
Step-by-step explanation:
Given that a copy machine makes 136 copies in 4 minutes and 15 seconds, to determine how many copies does it make per minute, the following calculation must be performed:
15 seconds = 0.25 minutes
136 / 4.25 = X
32 = X
Therefore, the copy machine makes 32 copies per minute.
you are packing gifts for the annual holiday decorations the boxes you have been given measure 10 inches in length 6 in in within 12 inches in height the gifts this year smaller so you need smaller boxes you order new boxes with Dimensions that equal the dimensions of the large boxes times a scale factor of 1/2 what is the volume of each new box
Answer:
I dont know can u explaining more
Step-by-step explanation:
its not clear too much
Which equation best represents the
statement below?
y is seven greater than the product of x
and negative five.
PLEASE I NEED THIS IN LESS THAT 2 MINUTES!!
Answer:
[tex]y=-5x+7[/tex]
Please mark brainliest!I’ll give points + brainalist for correct answer (:
Answer:
C) 2
Step-by-step explanation:
Emma: Range = 8
Arianna: Range = 6
The difference in the range is 2 (8-6)
Answer:
C) 2
Step-by-step explanation:
Emma:
Max = 20
Min = 12
Range = 20 - 12
Range = 8
Arianna:
Max = 18
Min = 12
Range = 18 - 12
Range = 6
Difference between the 2 ranges:
8 - 6 = 2
An angle measures 62° less than the measure of its complementary angle. What is the measure of each angle? (i need two answers please help see the pic)
Answer:
28° 62°
Step-by-step explanation:
Hope this helps :)
Identify segment AB all possible ways.
9.
10.
11.
12.
See attached
what is the value of a when we rewrite 8^x as a^-x/9
Answer:
[tex]a = \frac{1}{134217728}[/tex]
Step-by-step explanation:
Given
[tex]8^x = a^{-x/9}[/tex]
Required
Find a
Take log of both sides
[tex]log(8^x) = log(a^{-x/9})[/tex]
Apply law of logarithm
[tex]x\ log(8) = (-x/9) log(a)[/tex]
Divide both sides by a
[tex]log(8) = -\frac{1}{9} log(a)[/tex]
Multiply both sides by -9
[tex]-9\ log(8) = log(a)[/tex]
Apply law of logarithm
[tex]log(8^{-9}) = log(a)[/tex]
Cancel out log
[tex]8^{-9} = a[/tex]
Rewrite as:
[tex]a = 8^{-9}[/tex]
Apply law of indices
[tex]a = \frac{1}{8^9}[/tex]
[tex]a = \frac{1}{134217728}[/tex]
Find Arc ABC pls I need help
Step-by-step explanation:
Arc AD = 70
< D = 98
So
Arc BC = 2 * < D ( relation between arc and inscribed angle)
= 2 * 98
= 196
Hope it will help :)❤