Answer:
%Step-by-step explanation:
283.Modifying Above 3 with bar is the answer
NO LINKS/NO ASSESSMENTS!!!
State the Domain in inequality notation:
State the Range in inequality notation:
State the Domain in interval notation:
State the Range in interval notation:
9514 1404 393
Answer:
domain: -∞ < x < ∞, or (-∞, ∞)range: 5 ≤ y ≤ 35, or [5, 35]Step-by-step explanation:
Domain
The domain is the horizontal extent of the graph. Here, there are arrows at the ends of the curve, pointing both directions. We understand that to mean the graph extends to infinity in both directions. Then the domain is "all real numbers".
-∞ < x < ∞
(-∞, ∞)
__
Range
The range is the vertical extent of the graph. Here the graph extends from a low of 5 °F to a high of 35 °F. The arrows at the end of the graph do not indicate that the portion not shown will have any different range. Hence the range is ...
5 ≤ y ≤ 35
[5, 35]
A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α = 0.01?
Answer:
We Do not have enough evidence
Step-by-step explanation:
H0 : σ² ≤ 1.1
H0 : σ² > 1.1
The test statistic (X²) :
χ² = [(n - 1) × s²] ÷ σ²
n = sample size, = 20
s² = 1.6
σ² = 1.1
α = 0.01
χ² = (19 * 1.6) / 1.1
χ² = 27.64
Pvalue :
Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19
Pvalue = 0.091
If Pvalue < α ; Reject H0
0.091 > 0.01
Hence, Pvalue > α ; Thus we fail to reject H0.
We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.
A savings account starts with $312.50. After 9 years of continuous compounding at an interest rate, r, the account has $1250.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
The interest rate of the savings account would be = 33.3%
How to calculate the interest rate of the savings account?To calculate the interest rate of the savings account, the formula for simple interest should be used. That is;
Simple interest = Principal × time × Rate/100
simple interest = 1250-312.50 = 937.5
Principal amount = $312.50
Time = 9 years
rate = ?
That is;
937.5 = 312.50 × 9 × R/100
make R the subject of formula:
R = 937.5× 100/312.50 × 9
= 93750/2812.5
= 33.3%
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Prove: The sum of two multiples of 3
is a multiple of 3.
3m + 3n = [?](m + n)
= a multiple of
Just factor out the 3:
3m + 3n = 3 (m + n)
Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base, estimate the area under the graph using first two then four rectangles.f(x)=x^3 between x=0 and x=1
The area under the graph using the first two and then four rectangles = 0.221 unit square
According to the graphs given in the below figure,
Given in the question,
f(x) = \(x^{3}\) when x = 0 and x = 1
The first rectangle of the first graph goes from 0 to 0 .6,
Width = 0.6
Height measured from the middle point = 0.3
f( 0.3) = \(( 0.3)^{3}\)
f(0.3) = 0.027 units.
Area of first rectangle = 0.6 x 0.027 = 0.0162 unit square
Now taking the second rectangle of the first part,
It is going from 0.6 to 1.0,
Width = 0.4 units
height = 0.8 units
Height measured from the middle-
f(0.8) = \((0.8)^{3}\) = 0.512
Area of the second part of the rectangle = 0.512 x 0.4
= 0.2048 unit square
Final area = 0.2048 + 0.0162 = 0.221 square units
Therefore, the same could be done with the second part rectangle of 4
For the given first part of four rectangles = width = 0.6 units and height = 0.1 unit
so f(0.1) = \(0.1^{3}\)
= 0.001 units
Therefore, the area under the graph using the first two and then four rectangles = 0.221 unit square
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Find anexpression which represents the sum of (8x – 7) and(10x + 3) in simplest terms.
We need to determine the sum of the given expression to the simplest terms.
\((8x-7)+(10x+3)\)we need to open the bracket and add the expression.
\(\begin{gathered} (8x-7)+(10x+3) \\ 8x-7+10x+3 \\ \text{collecting the like terms, we have;} \\ 8x+10x-7+3 \\ 18x-4 \end{gathered}\)So, the sum
Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables.
T/F
Correlation analysis is a statistical technique used to measure the strength of the relationship between two variables. it is a true statement
Is correlation the measure of strength between two variables?
The relationship between two variables is generally considered strong when their r value is larger than 0.7. The correlation r measures the strength of the linear relationship between two quantitative variables.
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PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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y= 2x^+5x+1
Y=-2x^2-5x-1
Solve the problems.
The number a is less than the number b by (1)/(5) of b. By what part of a is b greater than a ?
Answer:
B is greater than A by 1/4 of A
Step-by-step explanation:
Let's use the information given in the problem to write expressions for the values of a and b:
a = b - (1/5)b = (4/5)b
b is greater than a by the difference:
b - a = b - (4/5)b = (1/5)b
To express this difference as a fraction of a, we divide by a:
(b - a)/a = ((1/5)b)/((4/5)b) = 1/4
Therefore, b is greater than a by 1/4 of a.
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
Need help please hurry!!!
Answer:
the answer is 16000
because 4 × 3848 is the best estimate for 16000 its nearby 15 k
hopefully its correct
Answer:
In an hour the factory makes 3848 pencils
In four hours the factory will make four times as much
=4×3848=15392 pencils
the best estimate is 16000 pencils
Use the equation and type the ordered-pairs. y=3^x
The ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
How to type the ordered pairs?The equation is given as:
y = 3^x
Let x = 0, 1 and 2
y = 3^0 = 1
y = 3^1 = 3
y = 3^2 = 9
So, we have the following ordered pairs (0,1), (1,3) and (2,9)
Hence, the ordered pairs of the equation y = 3^x are (0,1), (1,3) and (2,9)
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Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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PLEASE HELP FASTT!!!!!!!!!!!!!!!!!!!!!!Determine whether each ratio is equivalent to 1/2,3/9, or 5/7.
Write the ratio in the correct box.
what is the slope of this line y= 5x + 12
Answer:
Slope m = 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 5x + 12
Step 2: Break Function
Identify Parts
Slope m = 5
y-intercept b = 12
Find the sum: −3/4 and 5 /8
Answer: -0.125
Explanation: −3/4 + 5/8 = -0.125
Hope this helps
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Expand the expression
Answer:
C.
Step-by-step explanation:
Easiest and quickest way to do this is to plug it into your calc. Using the Binomial Theorem would be a time killer for this question, especially when it's an evaluation question.
Answer:
The answer is option C
Step-by-step explanation:
I just got it right
Determine a series of transformations that would map Figure J onto Figure K. J
Figure.
Figure
Figure J is rotated 90° clockwise and then translated by 3 units toward the right.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The translation does not change the shape and size of the geometry. But changes the location.
Figure J is rotated 90° clockwise and then translated by 3 units toward the right.
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Anybody know this? I need some help
Answer:
17
Step-by-step explanation:
First, you can change the equation to 12 1/2 + 4 1/2, as subtracting a negative number is actually adding it. Then, if easier, the mixed numbers can be changed to improper fractions -- 12 1/2 = 25/2 and 4 1/2 = 9/2. Then add; 25/2 + 9/2 = 34/2, and 34 divided by 2 is 17.
What is the word for added and subtracted parts of an expression
Answer:
Step-by-step explanation:
answer: terms
hope that is what you mean!
m grade> Y.4 Area and perimeter: word problems JFR
A rectangular garage is 6 meters wide and 7 meters long. What is its perimeter?
Answer:
26 meters
Step-by-step explanation:
To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters
giving brainliest!!!
Answer:
-7
32
Step-by-step explanation:
a)9-16=-7
b)4-10=-6
2∆-6
36-4
32
Solve multi-step equations with various solution sets (7th grade):
2(5x - 12) = -3(2x - 8)
Answer:
2(5x-12) = -3(2x-8)
10x-24 = -6x+24
10x+6x = 48
16x= 48
x= 3
Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
An investment of R1 500 000, made two years ago, has increased in value to R1 700 000, and has delivered R40 000 worth of dividends over the two years. What is the return on the investment? 1.6% 2.16% 3.28% 4.33%
Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.
We can use the following formula to calculate ROI:
ROI = (gain from investment - cost of investment) / cost of investment
where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.
Using the values given in the question, we can calculate the ROI as:
ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000
ROI = 0.16 or 16%
Therefore, the return on the investment is 16%.
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A food processing plant is packaging 32oz bags of coffee beans. The tolerance is 0.25 ounces. 100 bags of coffee were weighed, and the number at each weight is shown in the table below:
Weight # of bags
31.25. 1
31.7. 3
31.8. 3
31.83. 6
31.9. 15
32. 49
32.1. 14
32.2. 5
32.24. 2
32.3. 2
If more than 1 in 10 bags is outside of the acceptable tolerance, the bagging line is paused until the problem is identified. Does the line need to be paused?
Answer: No
Step-by-step explanation:
The orbit of a planet around the sun is not circular; it is an ellipse with
the Sun at one focus. The aphelion of a planet is the greatest distance
from the sun and the perihelion is its shortest distance. The mean
distance of a planet from the sun is the length of the semimajor axis of
the elliptical orbit. The perihelion of Pluto is 4551 million miles, and the
distance from the center of its elliptical orbit to the sun is 897.5 million
miles. Find the aphelion of Pluto. What is the mean distance of Pluto
from the Sun? Write an equation to represent the orbit of Pluto around
the Sun.
The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.
How to compute the equation?The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:
= 5448.5 + 897.5
= 6346 million miles
The equation of ellipse will be:
x²/a² + y²/b² = 1
x²/4659.42 + y²/4566.31 = 1
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