Answers
30% of the area under the normal curve lies to the left of -0.52 z - score.
What is z - score?
The relationship between a value and the mean of a group of values is quantified by a Z-score. The Z-score is calculated using standard deviations from the mean. When a data point's Z-score is 0, it means that it has the same score as the mean.
To find the z - score, divide your data point by your standard deviation after taking your data point and subtracting the mean from it.
Here, 30% = 0.30
So,
P(Z < z) = 0.30
From z - table, z - score for the probability 0.30 is -0.5244
-0.5244 ≈ -0.52
Hence, 30% of the area under the normal curve lies to the left of -0.52
z - score.
The option (c) is the correct answer.
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Related Questions
24 feet is how many meters?
Answers
Answer:
There are 7.3152 meters in 24 feet.
Step-by-step explanation:
1 foot = 0.3048, so...
0.3048 x 24 = 7.3152 meters = 24 feet.
A study is done on the number of bacteria cells in a petri dish. Suppose that the population site P(t) after t hours is given by the following. exponential function.
P(t)=2800(1.07)⁺
Find the initial population size
Does the function represent growth or decay?
O groats O decay
By what percent does the population size change each hour?
Answers
The initial population size is 2800
The function represents growth
The percentage through which the population size changes is given as 7%.
How to solve for the percentage growthThe formula is given as
[tex]Po = 2800 (1.07)^t[/tex]
From the formula that we have above, the initial population size is given as 2800.
We have p = P₀(1 + r)^t
where 1 + r = 1.07
We are to find the value of r
r = 1.07 - 1
r = 0.07
Given that the value of r is positive, this is the representation of a growth.
The percentage through which the change would occur = 0.07 x 100
= 7%
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Graphing and Solving Inequalities
m-1<-3
a
-4y <-20
5+b>1
-18
There is a graph underneath each one with lines and arrows.
Answers
The solution to inequalities are as follows.
What is inequality equation?
Inequalities are the mathematical expressions during which either side don't seem to be equal. In difference, in contrast to in equations, we tend to compare 2 values. The equal sign up between is replaced by but (or but or equal to), larger than (or larger than or equal to), or not capable sign.
Main body:
A) m-1 <-3
to solve this we need to take link terms to one side
= m< -3+1
= m < -2
B) -4y <-20
cancelling -ve sign on both sides,
= 4y <20
= y <5
C) 5+b>1
take link terms to one side
b > -4
Hence the graph is as given
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Use the Distributive Property to simplify (–5 – c)( –1).
5 + c
–5 + c
–5 – c
5 – c
Answers
If f(x) = x + 4 and g(x) = x2 + 6x + 8, what is f(x) divided by g(x)?
Answers
Answer:
[tex]\frac{x+4}{8x+8}[/tex]
Answer: 1/(x+2)
Step-by-step explanation:
[tex]\frac{x+4}{x^2+6x+8}\\[/tex]
[tex]\frac{x+4}{(x+2)(x+4)}[/tex]
the x+4 cancel each other so we are left with 1/(x+2)
if the main question was how to foil the denominator x2 + 6x + 8, i can quickly explain that.
x2 + 6x + 8
a2 + bx + c
first step is to multiply the first variable with that last or a * c which in this case would give 1 * 8 = 8
the next step would be to look at the middle number which is b, in our case 6.
so then you look for two number that can multiply to to give 8 as well as add up to 6. With easy guessing one will come up with 4 and 2.
with this values you can impute them directly into the equation as
x^2 +4x +2x+ 8
split the equation then factor
(x^2 +4x) (2x+ 8)
x(x+4) 2(x+4) note that the factored equation must always be the same in the bracket. If they are not the same then you have made a mistake somewhere across the line.
with the results giving (x+2)(x+4)
One factor of the function f(x) = x3 − 7x2 + 14x − 8 is (x − 4). Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technology. Show your work and include all intercepts in your answer.
Answers
According to the plotted graph, the x intercepts are (1,0),(2,0) and (4,0) and the y intercept is (0, -8)
Intercepts:
In the graph theory, the x-intercept is the point where a line crosses the x-axis, similarly the y-intercept is the point where a line crosses the y-axis.
Given,
One factor of the function f(x) = x³ − 7x² + 14x − 8 is (x − 4).
Here we need to identify the x and y intercept of the function through the graph of the function.
Here we have to do the following steps on the graphing calculator, to plot the function,
1) Set the x and y axis values on the graphing calculator.
2) Enter the required function on the input box.
3) Which ever the point that placed on the x axis are the points that refers the x intercept
4) Similarly, which ever the point that placed on the y axis are the points that refers the y intercept.
Now, the graph of the function is plotted and attached below.
Therefore, the x intercept are (1,0), (2,0) and (4,0) and the y intercept is (0,-8)
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ook at the following sum.
1 + 1⁄2 + 1⁄4 + 1⁄8 + 1⁄16 + 1⁄32 + 1⁄64. . .
Notice that the denominator of each fraction in the sum is twice the denominator that comes before it.
If you continue adding on fractions according to this pattern, when will you reach a sum of 2?
Answers
Answer: We will never reach a sum of 2
We get closer and closer to 2, but never actually reach this exact value.
==============================================================
Explanation:
The sequence
1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...
is geometric with these properties
a = 1 = first termr = 1/2 = common ratioWe multiply each term by 1/2 to get the next one.
Examples:
(1/8)*(1/2) = 1/16(1/32)*(1/2) = 1/64----------------
Notice how -1 < r < 1 is true, i.e. -1 < 1/2 < 1 is true.
Because of this fact, we can determine the sum of infinitely many terms.
That infinite sum is
S = a/(1-r)
This is our upper bound of what we can reach for S.
Calculating it gives:
S = a/(1-r)
S = 1/(1-0.5)
S = 2
Therefore, the sum of the infinitely many terms of this geometric sequence is 2.
1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + ... = 2
We never quite reach 2 exactly due to the fact we cannot reach infinity on the number line. Infinity is not a number, but rather a concept.
Therefore, we never reach a sum of 2. We simply get closer and closer.
-------------
Using computer software, I was able to generate this:
1 + 1/2 = 1.51 + 1/2 + 1/4 = 1.751 + 1/2 + 1/4 + 1/8 = 1.8751 + 1/2 + 1/4 + 1/8 + 1/16 = 1.93751 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 = 1.968751 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 = 1.984375The decimal values are exact without any rounding done to them. As you can see, the results of 1.5, 1.75, 1.875, etc are slowly approaching 2 but never get to that exact value itself. Visually you can think of an asymptote.
What is the factored form of this polynomial?
p(x) = x³ + 7x² + 4x − 12
Select the correct answer from each drop-down menu
Answers
Answer:
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x3+7x2
Group 2: 4x-12
Pull out from each group separately :
Group 1: (x+7) • (x2)
Group 2: (x-3) • (4)
Answer:
from the drop down menu the answers are:
x-1
x+2
x+6
8. Noah has a coin jar containing d dimes and 9 quarters worth a total of $5.00.
Select all the equations that represent this situation.
a. d+q=5
b. d+q=500
c. 0.1d +0.25q = 5
d. 10d+25q=500
e. d=50
f. q=20
Answers
Answer: A and C
d + q = 5 is one correct answer, not 500
0.1d + 0.25q = 5 as this is literally just the equation you are doing.
Evaluate the following functions.
Help
Answers
And you do the same thing for the second equation except this has -1 for x so you get 2(-1)^2+4(-1)+9 which equals 2-4+9=7. Make sense? Hope this helps
Write in slope intercept form.
Answers
Answer:
y=4x
Step-by-step explanation:
y2-y1/x2-x1
8-4/2-1
4/1
4 is the slope
We can find the intercept by finding when x is equal to zero by continuing the order pairs
(8,2),(4,1),(0,0)
The intercept is 0
Y=mx+b
M-slope
b- y intercept
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The midpoint of a given line segment must lie on the given line segment.
A. Trime
OB. False
Answers
The midpoint of a given line segment must lie on the given line segment is True.
What is midpoint?
A midpoint is a location that sits in the middle of the line connecting two points and is situated between them. If a line is drawn connecting the two points, the midpoint is the place on the line that is equally distant from both points. A point B that is situated halfway between two other points, such as A and C, is said to be the midpoint. Because of this, finding the midway only requires measuring the length of the line segment and dividing it by 2.
Here the given statement is,
=> The midpoint of a given line segment must lie on the given line segment.
Here according to the given statement we know that the midpoint of the any line lies on the given line.
Hence the given statement is True.
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Audrey is driving to a concert and needs to pay for parking. There is an automatic fee
of $6 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $2 for every hour she had her car in the lot. How much total money would
Audrey have to pay for parking if she left her car in the lot for 5 hours? How much
would Audrey have to pay if she left her car in the lot for t hours?
Answers
Answer:$16
$6 + $2(t)
Step-by-step explanation:
$6 + $2(5)
Audrey is driving to a concert and needs to pay for parking. There is an automatic fee of $6 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Audrey have to pay for parking if she left her car in the lot for 5 hours? How much would Audrey have to pay if she left her car in the lot for tt hours?
Cost of parking for 5 hours:
Cost of parking for tt hours:
An exponential function approaches 10 as x approaches infinity. Write a possible equation for the function.
Answers
An exponential function approaching a value of 10 as x approaches infinity is given as follows:
[tex]y = (0.25)^x + 10[/tex].
What is an exponential function?The general model for an exponential function is presented as follows:
[tex]y = ab^x + c[/tex]
In which the variables of the function are listed as follows:
a is the initial value of the function.b is the rate of change of the function.c is the asymptote of the function.In this problem, the function approaches value of 10 as x approaches infinity, meaning that the asymptote is of 10, hence:
c = 10.
The above condition is also only possible if the exponential function is decreasing, that is parameter b is between 0 and 1, hence one possible function is:
[tex]y = (0.25)^x + 10[/tex]
The restriction for parameter b is because if the function was increasing, that is, b > 1, it would approach infinity as x approaches infinity.
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A boat is heading towards a lighthouse, where Aaden is watching from a vertical distance of 103 feet above the water. Aaden measures an angle of depression to the boat at point
A
A to be 18
∘
∘
. At some later time, Aaden takes another measurement and finds the angle of depression to the boat (now at point
B
B) to be 75
∘
∘
. Find the distance from point
A
A to point
B
B. Round your answer to the nearest tenth of a foot if necessary.
Answers
The slope concept shows that there are 335.3953 feet between points A and B.
What is a slope?The slope is calculated by dividing the vertical and horizontal changes. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
Additionally, it is the tangent to the depression angle.
The vertical change in this issue is 103 feet.
At point A, the horizontal position is represented by xA, and the angle there is 18o, so: tan 18 degree = 103/xA xA = 103/tan 18 degree xA = - 90.5653
At point B, the horizontal position is at, and the angle is at, so: tan 75degree = 103/xB xB = 103/tan 75 degree xB = - 244.83
The measurement is given by: d = xA - xB d = -90.5653 - ( - 244.83)
d = 335.3953
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Answer:
289.4
Step-by-step explanation:
Needing help pleasee!!
Answers
ΔRNP and ΔSOP are congruent by the ASA rule.
What is Angle-Side-Angle (ASA) Rule?
If two angles and the included side of one triangle equal two angles and the included side of another, the triangles are congruent.
In the given figure,
For ΔRNP and ΔSOP,
∠NRP ≅ ∠OSP ----- (Alternate angles)
∠OPS ≅ ∠RPN ----- (Opposite angles)
Side PR ≅ Side PS
Hence, ΔRNP and ΔSOP are congruent by the ASA rule.
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Convert .51 kg to milligrams using unit fractions
Answers
The conversion of .51 kg to milligrams using unit fractions is given by 510,000 mg
How to convert from kilograms to milligrams?Units can be converted from one form to another.
Kilograms written as kg is a unit of massMilligrams written as mg is also a unit of mass.Convert kilogram to milligram:
1000g = 1 kg
1 kg = 1,000,000 mg
That is,
A kilogram is equivalent to one million milligrams.
.51 kg to milligrams
= .51 × 1,000,000
= 510,000 mg
Hence, the conversion of .51 kg to milligrams is 510,000 mg.
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A small hardware store makes a profit of $20,000 during its first year. The store owner sets a goal of increasing profits by $5,000 each year for the next 4 years. Assuming that this goal in met, find the total profit during the first 5 years of business.
profit = $ ___________
Answers
40,000
S=5(20,000+40,000)/2
S=$150,000
Suppose there are 9 freshman, 13 sophomores, 13 juniors, and 16 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions?
Answers
These people are elected in 47814 different ways to these positions.
Given, there are 9 freshman, 13 sophomores, 13 juniors and 16 seniors running for the offices of president, vice president, and secretary.
Now, the number of different ways in which these people can be elected for these positions be,
C(9 , 1)×C(13 , 1)×C(13 , 1)×3! + C(9 , 1)×C(13 , 1)×C(16 , 1)×3! + C(9 , 1)×C(13 , 1)×C(16 , 1)×3! + C(13 , 1)×C(13 , 1)×C(16 , 1)×3!
= 9×13×13×6 + 9×13×16×6 + 9×13×16×6 + 13×13×16×6
= 9126 + 11232 + 11232 + 16224
= 47814
So, these people can be elected in 47814 different ways.
Hence, these people are elected in 47814 different ways to these positions.
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HELP FAST 34 POINTS AND BRAINLIEST!!
In a bag of marbles there are 9 red marbles,6 blue marbles and 3 white marbles.Using fractions in their lowest terms,calculate the probability of drawing out:
a red marble
a white marble
a blue marble
Answers
Answer:
Red: 1/2
White: 1/6
Blue: 1/3
Step-by-step explanation:
You take and find the total number of marbles, which is 18. You then take the number of each different color and make that number your numerator, and 18 your denominator and reduce.
Red: 9/18 reduces to 1/2
White: 3/18 reduces to 1/6
Blue: 6/18 reduces to 1/3
According to the Mini-Lesson, which of the following are TRUE regarding f(x) = a(b)? Check all that
apply. Assume a > 0.
00000
The Domain of the exponential functions is All Real Numbers.
The Domain of the exponential functions is a > 0.
The Horizontal Asymptote is the point (0, a).
The Horizontal Asymptote is the line y = 0.
The Range of the exponential functions is f(x) > 0.
The Range of the exponential functions is All Real Numbers.
The Horizontal Asymptote is the line =
= 0.
Answers
Answer:
The Horizontal Asymptote is the point (0, a).
The Horizontal Asymptote is the line =
= 0.
Step-by-step explanation:
The following statements are true regarding f(x) = aᵇ:
The Domain of the exponential functions is All Real Numbers.
The Horizontal Asymptote is the line y = 0.
The Range of the exponential functions is f(x) > 0.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
The horizontal asymptote is the horizontal line that the graph of the function approaches as x approaches infinity or negative infinity. In this case, the horizontal asymptote is the line y = 0, which means that as x gets very large, the value of f(x) approaches 0.
The domain of the function is the set of all values of x that can be plugged into the function. For exponential functions, the domain is all real numbers because any real number can be raised to any power.
The range of the function is the set of all possible output values that the function can produce. For exponential functions, the range is f(x) > 0, which means that the function can produce any positive real number as output.
The following conclusions about f(x) = aᵇ are correct:
All Real Numbers are the domain of exponential functions.
The line y = 0 is the Horizontal Asymptote.
The exponential functions have a range of f(x) > 0.
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Samantha travels 175 miles in 25 hours? How many miles does Samantha travel in 5 hours?
Answers
Answer:
THERES MUCH INFORMATION EXCLUDED!
Step-by-step explanation:
She travels 7 miles per 25 hours
If the total distance travelled was 500 miles and the time it took you was 5 hours, then your average speed was 500 / 5 = 100 miles per hour (mph).
BASED ON MY OWN CALCULATIONS:
I helped you..help me by marking me brainliest:)
please help me with this
Answers
Model equivalent to 16 2/3 % is Option D.
Given:
The number of students at Liam's elementary school has increased 16 2/3 % in the past two weeks.
Option D is divide into six parts with one filled which is equal to 16 2/3 %.
Total parts = 6 * 16 2/3
= 6*48+2/3
= 6 * 50/3
= 300/3
= 100%
Here total parts is equal to 100% so it is the correct option.
Therefore model equivalent to 16 2/3 % is Option D.
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Yesterday, you entered into a futures contract to sell 62,500 at $1.50 per . Your initial performance
bond is $1,500 and your maintenance level is $500. At what settle price will you get a demand for additional
funds to be posted?
Answers
The settle price at which you will get a demand for additional funds to be posted is $1.4840 per €.
What is contract?
An agreement between parties that results in legal duties for both parties is known as a contract. Mutual consent, demonstrated by a valid offer and acceptance, sufficient consideration, capability, and legality are the fundamental components needed for the agreement to be a legally enforceable contract.
Provided data from the question;
Futures contract to buy in euros = €62,500
Future contract to buy in dollar = $93,750 ( €62,500 × $1.50)
Initial performance of bond = $1,500
Maintenance level = $500
To determine the settle price at which you get a demand for additional funds to be posted =
Future contract to buy in dollar - (initial bond performance - maintenance level) ÷ future contract to in euros
$93,750 - ($1,500 - $500)
= $93,750 - $1,000
$92,750 ÷ €62,500
= $1.484
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A29-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 38 m Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answers
The length of the shadow is 24. 56m
How to determine the lengthFrom the information given, we have that;
Height of the tree = 29mThe top of the building to the tip of the shadow is 38 m Length of the shadow = cUsing the Pythagorean theorem, we have;
a² = b² + c²
Substitute the values, we get;
38² = 29² + c²
Find the squares
1444 - 841 = c²
c² = 603
Find the square root of both sides
c = 603
c = 24. 56m
Hence, the value is 24. 56m
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i need help asap with this question
Answers
Answer:
-8/9
Step-by-step explanation:
(-7/9) /( (-1 1/6) * (-3/4) ) make all fractions improper fractions
(-7/9) / (-7/6 * -3/4) solve brackets
(-7/9) / (7/8)
(-7/9) * (8/7)
-8/9
3) Helen has $1.35 in her bank of nickels and dimes. There are 9 more nickels than dimes. Find the number she has of each kind.
Answers
Michael made 22 out of 25 of his shots this basketball season. What percentage of his shots did he make?
Answers
Answer:
88%
Step-by-step explanation:
What is the coefficient in this expression?
3/2
xy
Ox
OY
Answers
in this equation ox is your answer.
What is the distance between (4,5) and (-2, -3)?
Answers
Answer:
10 units
Step-by-step explanation:
The distance formula is as follows:
D = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(-2 - 4)^2 + (-3 - 5)^2]
= √(-6)2 + (-8)2
= √100
= 10
Answer:
10 Units
Step-by-step explanation:
Distance (d) = √(-2 - 4)2 + (-3 - 5)2
= √(-6)2 + (-8)2
= √100
= 10
Hope this helps! :)
