It is 1.39 standard devaitions away from the mean.
Since the mean x = 51.84 inches and the standard deviation, σ = 8.05 inches.
The amount of rainfall last year was X = 63 inches.
The difference between X and the mean x is d = X - x
= 63 - 51.84 in
= 11.16 in
To find the number of standard devaitions X is from the mean, n, we divide d by the standard deviation,σ.
So, n = d/σ
= 11.16 in/8.05 in
= 1.39
So, it is 1.39 standard devaitions away from the mean.
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A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days?
Answer:
8: 207
x: 143
and solve that to get your answer
The required answers are-
(a) The crew been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation to pave a road is,
L(d) = 207– 8d
where, length, L (in miles), and d days.
(a) For 143 miles of the road is left to be paved, the number of days is given as-
Put Length L(d) = 143 in the equation to pave a road
we get,
143 = 207– 8d
or, 8d = 207– 143
or, 8d = 64
or, d = 64/8
⇒ d = 8 days
So, The crew have been paving the road for 8 days.
(b) miles of the road have left for the crew to pave after 13 days.
Put d = 13 days in the equation to pave a road
we get,
L(d) = 207– 8*13
or, L(d) = 207– 104
⇒ L(d) = 103 miles
So,103 miles of the road have left for the crew to pave after 13 days.
Thus,The required answers are-
(a) The crew have been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=23(0.292)^x
what is the % increase
Answer:
Decay
since 0.292 is less than 1
% rate of decrease
1 - 0.292 = 0.708
70.8%
Evaluate this function: h(t) = |t+2| + 3; Find h(6)
Answer:
Step-by-step explanation:
h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11
How could you correctly write the equation4(10+5)=6(12-2)
Who is the general information of acounting
Answer:
General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.
What is
[tex] \frac{4}{60} [/tex]
simplified?
Answer:
1/15
Step-by-step explanation:
4/60
Divide the top and bottom by 4
4/4 =1
60/4= 15
1/15
1.5a + 6 = 9a + 12
please answer quick i hate math
Answer:
-0.8
Step-by-step explanation:
First move the variable terms to one side of the equal sign. I always move the smallest to the largest.
[tex]1.5a + 6 = 9a + 12 \\ - 1.5a \: \: \: \: \: \: \: \: \ \: - 1.5a[/tex]
Solve and move the constants to opposite side. I'm going to subtract 12 from both sides.
[tex] 6 = 7.5a + 12 \\ - 12 \: \: - 12[/tex]
Now solve for a by dividing both sides by 7.5
[tex] \frac{ - 6}{7.5} = \frac{7.5a}{7.5} [/tex]
[tex]a = - 0.8[/tex]
If an item is $6.49 for 36 ounces, then it is $
Answer:
0.18
Step-by-step explanation:
One card is selected at random from a deck of card. Determine the probability that card selected is not a 7( simplify your answer)
Answer:
P(~7) = 12/13
Step-by-step explanation:
There are 4 sevens in a normal deck of cards.
Therefore there are 48 cards out of 52 that are not 7.
P(~7) = 48/52 simplified, it is 12/13
What is the meaning of algebra and expressions
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio
Answer:
Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.
Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.
Examples:
• 2 + 3 is an expression
• 3 − x/2 is also an expression
Simplify.
1) 448
A) 5V3
C) 12V2
B) 8V
D) 10v2
Answer:
B
Step-by-step explanation:
The square root of 448 rounded up to 6 decimal places is 21.166010. It is the positive solution of the equation x2 = 448. We can express the square root of 448 in its lowest radical form as 8 √7.
Please help me help please please help me please
Answer:
y = 3x + 1 is the answer
Hello there! :)
The slope of this line is 3.
There are lots of ways to calculate the slope.
Here's one of them:
Rise/Run
Here, the rise is 3 (we move up 3 units)
And the run is 1 (we move 1 unit to the right)
3/1=3
So the slope is 3.
Now, the y-intercept is where the graph touches the y-axis.
Here, the y-intercept is 1.
So the equation is
y=3x+1
Hope this helps!
~Just a determined gal
#CarryOnLearning
Please mark brainliest!
[tex]MysteriousNature :)[/tex]
This table represents the gallons of water, g, left in a hot tub after draining it for m minutes.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
Drag and drop the slope and y-intercept into the corresponding boxes.
available options are -32, 15,32,480
Answer:
The answer is slope: -32 y-intercept:480
Step-by-step explanation:
I took the test
Answer: slope -32 y-intercept 480
Step-by-step explanation:
Took the k12 test
According to the concept of tragic hero, can we consider the happy prince and the swallow tragic heroes?
Answer:
Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.
Step-by-step explanation:
Two angles form a linear pair. The measure of one angle is twice the measure of the other angle. Find the measure of each angle.
The smaller angle measures =?
The larger angle measures =?
Answer:
The smaller angle measures = 60º
The larger angle measures = 120º
Step-by-step explanation:
The sum of angles in linear pair is 180
The measure of one angle is twice the measure of the other angle.
x + 2x = 180
Combine like terms
3x = 180
Divide both sides by 3
x = 60º
2x = 120º
Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60
Answer:
594.60
Step-by-step explanation:
basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3
Could you help me to solve this
Answer:
No, sorry about that, buddy, I cannot.
what is the absolute value for 115 and 15
Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answer:
20 m
Step-by-step explanation:
1/50 = 40/x
Cross multiply.
1 × x = 50 × 40
x = 2000
2000 cm × (1 m)/(100 cm) = 20 m
Answer: 20 m
if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this correct yes or no explain you answer.
Answer:yes
Step-by-step explanation:
Im not that good but if there is a birth rate of 1000 people per day then if you estimate that awnser you have a possibility of 60%
What's the negative reciprocal of 5? Question 12 options: A) 1∕5 B) –5 C) –1∕5 D) 5
Answer:
[tex]\huge\boxed{C)\ -\dfrac{1}{5}}[/tex]
Step-by-step explanation:
The reciprocal of 5: [tex]\dfrac{1}{5}[/tex]
The negative reciprocal of 5: [tex]-\dfrac{1}{5}[/tex]
2x+5y=(-24),3x+y=(-10) solve for using elimination method
Answer:
x equals -2 and y equals−4
What the value of the angle marked with x is
Answer:4.1 i think correct if im worng sorry
Step-by-step explanation:
Answer:
x = 146°
Step-by-step explanation:
this shape is a rhombus and one property is that adjacent angles are supplementary
therefore, 'x' + 34 = 180
'x' = 180-34
'x' = 146
What is tan(50)?
-.57
5.88
2.36
1.19
Answer:
1.19
Step-by-step explanation:
tan 50 degrees is the value of tangent trigonometric function for an angle equal to 50 degrees .. the value of 50 degrees is approximately 1.1918
Assume each choice is random and equally likely. What is the probability that someone gets a bowl of ice cream, with two scoops of vanilla?
Answer:
1/4
Step-by-step explanation:
Solution: as shown in the figure,
2/8 = 1/4
Answer:
3
Step-by-step explanation:
i thing
Each day, a restaurant serves x meals that consist of 1/4 of a chicken each. It also makes soup
using 1/2 of a chicken each day. The chef expresses the number of chickens she uses each day
1/4x+1/2. How many chickens does she use in three days?
Answer:
2 1/4
Step-by-step explanation:
60 twelve minus 13 twelve
Answer:
47 twelve
Step-by-step explanation:
hope it's help
Fill in the missing
numbers?
?•(-10) = 90
Answer:
?=-9
Step-by-step explanation:
A negative x negative is positive. 90/10=9 and mutiply both by -1. -10x-9=-90
There are 25 students in a class, 7 of them will be chosen to go on a field trip. How many ways can these students be chosen.
Answer:
Step-by-step explanation:
order is not important so
25 ways to fill the first spot
24 ways to fill the second
23 ways to fill the third
...
19 ways to fill the 7th
25•24•23•22•21•20•19 = 2,422,728,000
which also equals 25! / (25 - 7)!
Solve 12x- 6y = 18 for y.
The given equation solved for y as y=2x-3.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 12x-6y=18.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The equation can be solved as follows
6(2x-y)=18
⇒ 2x-y=3
⇒ y=2x-3
Therefore, the given equation solved for y as y=2x-3.
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