The total area to the left of z = -2.42 and to the right of z = 2.42 under the standard normal curve is approximately 0.9927 (rounded to four decimal places).
To find the total area to the left of z = -2.42 and to the right of z = 2.42 under the standard normal curve, we can use the property that the total area under the standard normal curve is equal to 1.
Since the area to the left of z = -2.42 is the same as the area to the right of z = 2.42, we can calculate the area to the left of z = -2.42 and then subtract it from 1 to get the area to the right of z = 2.42.
Using a standard normal distribution table or a statistical software, we find that the area to the left of z = -2.42 is approximately 0.0073 (rounded to four decimal places).
Therefore, the area to the right of z = 2.42 is approximately 1 - 0.0073 = 0.9927 (rounded to four decimal places).
Hence, the total area to the left of z = -2.42 and to the right of z = 2.42 under the standard normal curve is approximately 0.9927 (rounded to four decimal places).
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write an equation inj point-slope form for the line through the given point with the given slope (8, 3); m
Hello there! (:
y-y1=m(x-x1)
y-3=6(x-8)
Hope it helps!
#CarryOnLearning
\(SparklingFlower\)
Find the value of m
Answer:
m = 9
Step-by-step explanation:
Using the rules of exponents
\((a^m)^{n}\) = \(a^{mn}\)
\(a^{m}\) × \(a^{n}\) ⇔ \(a^{(m+n)}\)
\(a^{-m}\) = \(\frac{1}{a^{m} }\)
Then
\((\frac{1}{27}) ^{m}\) × \((81)^{-1}\) = 243 ← express all values to base 3
\((\frac{1}{3^3}) ^{m}\) × \((3 ^4)^{-1}\) = \(3^{5}\)
\((3^-3)^{m}\) × \(3^{-4}\) = \(3^{5}\)
\(3^{-3m}\) × \(3^{-4}\) = \(3^{5}\)
\(3^{(-3m-4)}\) = \(3^{5}\)
Since bases on both sides are equal, both 3 , then equate exponents
- 3m - 4 = 5 ( add 4 to both sides )
- 3m = 9 ( divide both sides by - 3 )
m = - 3
Jonathan is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Jonathan’s height in centimeters?
Answer:
187.96
Step-by-step explanation:
yeah
Help me with this please
Someone please help me on this ASAP
Answer:
3x + 4y = 12Step-by-step explanation:
The standard form is:
ax + by = cUse coordinates of the line F:
(0, 3) and (4, 0)The slope is:
m = (0 - 3)/(4 - 0) = -3/4The y- intercept is 3
Use slope- intercept form and convert into standard form:
y = -3/4x + 34y = -3x + 123x + 4y = 12Answer:
\(3x+4y=12\)
Step-by-step explanation:
First we need to the know standard form and slope-intercept form, both of which are: \(ax+by=c\) (standard) & \(y=mx+b\) (slope)
Since we are given two ordered pairs to work with, we can use them to find the slope of our line using the slope formula. y2 - y1 / x2 - x1
(0, 3) would be x1 and y1 while (4, 0) would be x2 and y2
As such: \(\frac{0-3}{4-0} =-\frac{3}{4}\)
Now since our y-intercept is given to us, we can just plug it into "b" in our slope-intercept form equation. This would give us: \(y=-\frac{3}{4}x+3\)
Now we need to convert this equation into standard form; remember the format as stated above!
First lets add \(\frac{3}{4}x\) to the -3/4x in order to move it to the other side of the equation.
\(\frac{3}{4}x+y=3\)
Now we need to multiply the entire equation by the reciprocal of 3/4, this would be 4/3; so we multiply the entire equation by 4!
\(3x+4y=12\)
Huzzah! There is our answer!
Hope this helped! If you have any questions feel free to ask!
Which is equivalent to 3i ( 2i6)?
Answer:
2 * (i^6) * (3 * i) =
- 6 i
Step-by-step explanation:
radians and degrees
180° irc =
\(\Large\texttt{Answer}\)
\(180^\circ=\pi\:radians}\)
\(\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}\)
\(\Large\texttt{Process}\)
⇨ For converting from degrees to radians, use this conversion factor:
\(\bf{\cfrac{\pi}{180}}\)
⇨ Convert
\(\bf{\cfrac{180}{1}\times\cfrac{\pi}{180}}\)
⇨ The 180s cancel out, and we have:
\(\pi\)
Hence
\(\bf{180^\circ=\pi\:radians}\)
Hope that helped
what is the area of the Shaded region using 3.14 ?.
f(x) = x² – 3x; Find f(-8)
answer
answer
asap
pls
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
An integer can be written as a fraction by giving it a denominator of one
The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth
person's age?
A 32
B. 34
c. 35
D. 36
E 40
Simplify: 3a2b + 5ab – 4ab + ab2 + 8a2b
Answer: 11a2b+ab+ab2
Step-by-step explanation:
how many lines of symmetry does a regular triangle have
Answer:
3
Step-by-step explanation:
Assuming that a regular triangle means an equilateral triangle, there are 3 lines of symmetry, by starting at the three angles of the triangle and drawing a line through the bisector of the side opposite to the angle.
Find an equation of the tangent plane to the given parametric surface at the specified point. Graph the surface and the tangent plane.r(u,v)=u2i+2usinvj+ucosvk; u=1, v=0.
The equation of the tangent plane to the given parametric surface at the specific point is -2x + 4z = 0 .
In the question ,
it is given that ,
the function is r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .
Now,
According to the give function,
r(u,v) = (u² , 2usin(v) , ucos(v))
Then, solving it , We get ,
r(u,v) = (u² , 2usin(v) , ucos(v))
\(r_{u}\) = (u , 2sin(v) , cos(v))
\(r_{u}\) (1,0) = (2 , 0 , 1)
\(r_{v}\) = (0 , 2ucos(u) , -sin(v))
\(r_{v}\) (1,0) = (0 , 2 , 0)
So , the matrix become
\(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&2&0\end{array}\right]\)
On simplifying , we get
i(−2) −j(0) \(+\) k(4) = (−2 , 0 , 4)
r(2,0) = (2 , 0 , 1)
The plane is
r = −2x \(+\) 4z
r(2,0,1) = −2(2) \(+\) 4(1) = d
−4 \(+\) 4 \(=\) d
d = 0
Therefore , the equation of tangent is -2x + 4z = 0 .
The given question is incomplete , the complete question is
Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .
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PLZ HELP ANSWER ALL PARTS A & B PLZ & THANK YOU!
The time required for a certain chemical reaction is related to the amount of catalyst present during the reaction.The domain of the relation is the number of grams of catalyst,and the range is the number of seconds required for a fixed amount of the chemical to react.The following relation is the data from several reactions:[(2,180),(2.5,6),(2.7,0.05),(2.9,0.001),(3.0,6),(3.1,6)(3.1,15)(3.2,37),(3.3,176)}.
A. Is the relation a function?
B. If the domain and range were interchanged,would the relation be a function?Explain.
"Relation is a function if the terms in domain corresponds a unique value in range"
A). Given relation is a function.
B). Interchanged relation will not be a function.
A). From the given ordered pairs, x-coordinate represents the term of Domain and y- coordinate represents the Range.
We find each term of domain is associated with a unique term in range.
Therefore, relation is a one-to-one function.
B). If the terms in range and domain were interchanged, one term 6 of domain relates with two different values of range,
x = 6, y = 2.5
x= 6, y = 3
Since, a term of domain can't have two different values in range,
Therefore, interchanged relation will not be a function.
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Tony has 2/3 gallon of milk.
He wants to equally share the milk between 3 milkshakes.
Which expression represents the amount of milk that will be in each milkshake?
Answer: 2/9 gallon per shake
Step-by-step explanation:
(2/3)/3
2/9 gallon per shake
(2/9)*(3) = 6/9 or 2/3
what percent is 85 out of 125
We want to know what percent is 85 out of 125.
For doing so, we do the division 85/125 and multiply by 100%. In this case, we obtain:
\(\frac{85}{125}\cdot100=0.68\cdot100=68\)This means that 85 is 68% of 125.
what is bigger 5.6% or square root of 27
square root of 27 is bigger.
What is percentage ?
In math, one percent is equal to a hundredth part; thus, 100 percent represents the entire amount and 200 percent specifies twice that amount
First calculating square root of 27 :
\(\sqrt{27}=5.196\)
and 5.6 % is 0.056
clearly \(\sqrt{27}\) is greater than 5.6%
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A homeowner bought a dryer from a discount appliance store for $698.27 and makes 12 monthly payments of $63.29 with a credit card. The store charges $1.25 for every purchase made with a credit card. The homeowner also had to pay late fees in the amount of $35 four different times. What is the total cost of the dryer?
$713.27
$809.48
$900.73
$914.48
If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.
To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.
The total cost of the dryer can be calculated as follows:
Cost of dryer = $698.27
Total credit card charges = 12 x $1.25 = $15
Total late fees = 4 x $35 = $140
Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees
= $698.27 + $15 + $140
= $809.27
Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.
So, correct option is A.
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which of rthe following goups of scores would hav ethe smallest standard deviation 20, 40, 60, 80, 100
In dataset 60 is the data is spread more tightly around the mean than in other datasets. Accordingly, it would have a smaller standard deviation.
n dataset C, the data is spread more tightly around the mean than in other datasets. Accordingly, it would have a smaller standard deviation
Standard deviation is 60
What do you mean by standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a high or low standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points are close to the mean. The curve at the top is more dispersed and has a greater standard deviation than the curve at the bottom, which is more concentrated around the mean and has a lower standard deviation.
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1. 4 times the sum of x and 2
4(x+2)
hope this helps
Help pls look at question, I'm confused so yeah.
Answer
225 ml
Step-by-step explanation:
90 ml =2 parts
1 part=45
5 parts= 225
The value of a piece of land deprecates at a rate of 0.60 per year after three years land is worth 2500 what was the original value of the building
Well, there is actually a formula for this kind of exercises:
n is the price the land had in the third year year
2500=n-nx0.6
2500=n(1-0.6)
2500=nx0.4
n=2500:0.4
n=6250
m is the price the land had in the second year
6250=m-mx0.6
6250=m(1-0.6)
6250=nx0.4
p=6250:0.4
p=15625
p is the price the land had in the first year
15625=p-px0.6
15625=p(1-0.6)
15625=px0.4
p=15625:0.4
p=39,062.5 <- this should be your answer. Hope this helps.
Solve for C⁰... photo above
Answer:
c = 9
Step-by-step explanation:
Since angle d and 59 are on a right angle (indicated by the small square)
We can equate the sum of these angles to 90:
d+59=90
Now we subtract 59 from both sides:
d+59-59=90-59
d=31
Since angles d,c and 140 are on a straight line we can equate the sum of these 3 to 180:
c+d+140=180
Substitute d with 31 from previous working out:
c+31+140=180
Simplify:
c+171=180
Subtract 171 from both sides:
c+171-171=180-171
Simplify:
c= 9
Please help solve like now ASAP ASAP
3x - 7 = 29
What is x
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x - 7 = 29
Step 2: Solve for x
Add 7 on both sides: 3x = 36Divide 3 on both sides: x = 12Step 3: Check
Plug in x to verify it's a solution.
Substitute: 3(12) - 7 = 29Multiply: 36 - 7 = 29Subtract: 29 = 29Here we see that 29 does indeed equal 29.
∴ x = 12 is a solution of the equation.
What is 86 Inches in Feet?
86 inches are equivalent to 7.17 feet
To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):
86 inches ÷ 12 inches/foot = 7.17 feet
The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).
Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.
Inches and feet are often used to measure an object's height, breadth, and length in the United States.
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Alaina has scores of 72, 82, 83, and 89 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests
The compound inequality to find the range of scores she can make on her final exam to receive a C will be 44.5 ≥ x ≥ 71.5
How to compute the inequality?Based on the information, the inequality will be:
70 ≥ (73 + 83 + 85 + 90 + 2x) / 6 ≥ 79
70 ≥ (331 + 2x) / 6 ≥ 79
420 ≥ 331 + 2x ≥ 474
89 ≥ 2x ≥ 143
44.5 ≥ x ≥ 71.5
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Alaina has scores of 73,83,85,90 on her math tests. Use a compound inequality to find the range of scores she can make on her final exam to receive a C in the course. The final exam counts as two tests, and a C is received if the final course average is from 70 to 79
Please help,, I'll mark as brainliest if correct
the answer is, the number of packages of corn purchased
Answer:
C. The number of packages of corn purchased.
Step-by-step explanation:
We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression represents the cost of the corn for a number of packages.
Since the cost of each package of corn is $3.59 and represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.
please help quick!!!!!!
Step-by-step explanation:
3x=x+70(exterior angle of a triangle is equal to 2 opposite interior angles)
or,2x=70
or,x=70/2
or,x=35
3x=3×35
=105°
plse give brainliest if u like with this solution.