Answer:
Step-by-step explanation:
Supplementary angles:
They add up to 180º.
So
Answer:v71
Step-by-step explanation:
71717171717171717171717171717171717171717171717171
Question 2 of 10
How many solutions does the system of equations below have?
y=3x+4
y+6= 3x
OA. Exactly 1 solution
B. No solution
OC. More than 1 solution
OD. At least 1 solution
SUBMIT
Answer:
B, No solution
Step-by-step explanation:
If two lines are graphed, the point they intersect is the solution. However, if the slope is the same, they will never intersect
In the first and second equation, the slopes are both 3 so they will never intersect.
What os the product of 5 and 8 \( \sqrt{200} \)in simplest radical form?
How do I solve this equation
The value of x in the intersecting chords LM and LK is determined as 10.
option A.
What is the value of x?The value of x is calculated by applying intersecting chord theorem, which states that if two chords AB and CD in a circle intersect at a point P, then the product of the lengths of the segments of each chord is equal.
In other words, AP x PB = CP x PD.
From the diagram, we will have the following equation;
|JL| x |JM| = |LK| x |LK|
5 x (15 + 5) = (x)(x)
5 (20) = x²
100 = x²
x = √ 100
x = 10
Thus, the length of segment LK is determined as 10.
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At a carnival, the probability that you choose a winning rubber duck from 25 ducks is 0.24. How many are not winning ducks?
Answer:
1-0.24=0.76 so the probabily of not winning ducks is 0.76
Answer:
19 ducks
Step-by-step explanation:
19 is 76% of 25
(Since 24% is 0.24)
A bicycle wheel has diameter 66 cm. Find how many turns the wheel makes when the bicycle travels 400 metres.
The number of turns the wheel makes is 1.93 ≈ 2.
What is Turns?
This is referred to as a cycle. It is a unit of plane angle measurement that is equivalent to 2π radians, 360 degrees, or 400 gradians.
formular for calculating Turns:
Turns = Lenght
Circumference
Circumference of a circle, C= πD
Where,
Diameter=D
π =22/7
Calculating Circumference;
C= 22 * 66
7
=207.4
From the question:
D= 66cm
L =400m
Calculating Turns:
Turns = Lenght
Circumference
= 400m
207.4
Turns =1.93
Turns =1.93≈ 2
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Write the coordinates of the vertices after a reflection over the line x=2.
D' = (8, 5)
E' = (6, 5)
F' = (4, 8)
G' = (7, 8)
Explanation:The current coordinates before reflection are:
D(-4, 5), E(-2, 5), F(0, 8) and G(-3, 8)
as aschan chages as follows:n
D' = (8, 5)
E' = (6, 5)
F' = (4, 8)
G' = (7, 8)
\(\)Ray-Ann bounces a basketball to Steve as shown in the diagram below. What is the
distance between Ray-Ann and Steve? Round your answer to the nearest tenth of a
foot. Enter deg after any degree value.
7 ft
124°
6 ft
The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:
11.5 feet.
What is the law of cosines?The law of cosines states that we can find the length of the missing side c of a triangle as follows:
c² = a² + b² - 2abcos(C)
The parameters of the equation are given as follows:
C is the opposite angle to the missing side C.a and b are the sides that are adjacent to the angle C.In the context of this problem, the values of these parameters are given as follows:
C = 124º.a = 6 ft, b = 7 ft.Hence the distance between Ray-Ann and Steve is obtained as follows:
c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º
c² = 132
c = square root of 132
c = 11.5 feet.
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What are the two types of hypotheses used in a hypothesis test? type I and type II null and alternative Your answer is correct. left-tailed and right-tailed population and sample How are they related? They sum to zero. One is a subset of the other. They are equal. They are complements.
Answer:
There are two types of hypotheses tests. null and alternative
They are complements.
Step-by-step explanation:
There are two types of hypotheses tests. null and alternative
the table shows the summary of both tests.
True Situation DECISION
Accept H0 Reject H0
(or accept Ha)
H0 is true Correct decision Wrong Decision
(no error) type I error
H0 is false Wrong Decision Correct decision
type II error ( no error)
The probability of making a type I error is conventionally denoted by alpha and that of committing a type II error is indicated by beta.
∝ = P ( type I error) = P (reject H0 / H0 is true)
β = P (type II error) = P (accept H0 / H0 is false)
When ∝ becomes larger, β tends to become smaller . There is inverse relationship between ∝ and β.
When H0 is true Ha is false when Ha is false H0 is true. So they are compliments of each other.
The 7% sales tax on a new $32,000 car.
Answer:
$34,240
Step-by-step explanation:
7% of $32,000 is $2,240
$32,000+$2,240=$34,240
( - 37 + 37 ) ÷ - 15 = What is the answerr
Answer:
0
Step-by-step explanation:
\(~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0\)
Answer:
0
Step-by-step explanation:
Following PEMDAS -37+37 is 0 and 0/-15 is also 0
What is the least common multiple of 6, 3, 7, and 4?
please help and its math and Prize 14 points
Answer:
The least common multiple of 3, 4, 6, and 7 is 84.
Let's check
84 / 3 = 28
84 / 4 = 21
84 / 6 = 14
84 / 7 = 12
Young's rule find dosage for child. Adult dosage is 75mg. And the age of the child is 12. Calcuate child dosage in my.C=ad________ (a+12)
Given:
The adult dosage is 75mg and the age of the child is 12.
The formula to find the child's dosage is
\(C=\frac{ad}{a+12}\)where a is the child's age, d is the usual adult's dosage and C is the child's dosage.
Required:
We need to find the child's dosage.
Explanation:
Consider the formula to find the child's dosage.
\(C=\frac{ad}{a+12}\)Substitute a =12 and d =75 in the formula.
\(C=\frac{12\times75}{12+12}\)\(C=\frac{900}{24}=37.5\text{ mg.}\)Final answer:
The child's dosage is 37.5mg.
Round 822,119 to the nearest ten thousand.
Answer:
820,000
Step-by-step explanation:
2 is lower than 5 so round down to 20
Pls Brainliest If Helps
Answer:
820,000
Step-by-step explanation:
The 10,000 digit is the 2 on the left.
All digits to the right of the left 2 become zero.
820,000
The first digit that is dropped is the right 2.
Since it is not 5 or more, the 2 that is kept does not go up to 3.
Answer: 820,000
I need help! DUE IN 2 HOURS WILL MARK BRAINLIEST!!!
The exponential model for the data is: \(y = 693(1.5)^x\)
When the cost is of $6000, the weight is of approximately 5.3 carats.
What is an exponential function?An exponential function is modeled by:
\(y = ab^x\)
In which:
a is the initial value.b is the rate of change.From the table, the rate of change is given by:
b = 4980/3210 = 3210/2140 = 2140/1430 = 1.5.
When x = 1, y = 1040, hence the initial value is found as follows:
1.5a = 1040.
a = 1040/1.5
a = 693.
So the model is:
\(y = 693(1.5)^x\)
When the cost is of $6000, the weight is found as follows:
\(693(1.5)^x = 6000\)
\((1.5)^x = \frac{6000}{693}\)
\(1.5^x = 8.658\)
\(\log{1.5^x} = \log{8.658}\)
x log(1.5) = log(8.658)
x = log(8.658)/log(1.5)
x = 5.3
When the cost is of $6000, the weight is of approximately 5.3 carats.
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Jim can type 3850 words in 70 minutes.
David can type 3300 in 60 minutes.
Dan can type 2400 words in 40 minutes.
Who types at the fastest rate of words per minute?
Answer:
Dan, because he types 60 words per minute.
Step-by-step explanation:
Jim: 3850/70 = 55 words/minute
David: 3300/60 = 55 words/minute
Dan: 2400/40 = 60 words/minute
If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area? HINT: Area = width * length
Answer:
The answer is no 1:
\(3x ^{2} + 23x + 14\)
Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.
She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
Answer: a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.
What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)
Answer:
y=5
Step-by-step explanation:
If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.
Use the equation
y-y=m(x-x)
y-5=0(x-(-4))
y-5=0
y=5
Answer:
y=5
Step-by-step explanation:
I will mark brainlist please help me!!
Answer:
x = 3
Step-by-step explanation:
Since the angles are congruent and the sides are not equal, the triangles are similar.
Hence, we'll use the similarity ratio.
JK / LK = MN / LM
We know that
JK = x
LK = 6
MN = 4
LM = 8
\(\displaystyle \frac{x}{6} = \frac{4}{8} \\\\Cross\ multiply\\\\x \times 8 = 4 \times 6\\\\8x = 24\\\\Divide \ both \ sides \ by \ 8\\\\x = 24/8\\\\x = 3\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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Number of Certified Organic Farms in the United States, 2001–2008
Year Farms
2001 6,231
2002 6,574
2003 7,237
2004 7,211
2005 7,701
2006 8,581
2007 10,302
2008 11,796
Click here for the Excel Data File
(a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated by a minus sign. Do not round the intermediate calculations. Round your final answers to 2 decimal places.)
(b) Use each of the three fitted trend equations to make numerical forecasts for the next 3 years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.)
Answer:
ŷ = 739.49X + 4876.43
y = 6755.98 - 388.24x + 125.30x²
y = 5428.98(1.09)^x
B.)
Linear:
ŷ = 739.49(9) + 4876.43
y = 11531.8
Year 2010 ; x = 10
y = 739.49(10) + 4876.43
y = 12271.3
Year 2011 ; x = 11
y = 739.49(11) + 4876.43
y = 13010.8
Quadratic :
Year 2009 ; x = 9
y = 6755.98 - 388.24(9) + 125.30(9^2)
y = 13411.1
Year 2010 ; x = 10
y = 6755.98 - 388.24(10) + 125.30(10^2)
y = 15403.6
Year 2011 ; x = 11
y = 6755.98 - 388.24(11) + 125.30(11^2)
y = 17646.6
Exponential:
Year 2009 ; x = 9
y = 5428.98(1.09)^9
y = 11791.2
Year 2010 ; x = 10
y = 5428.98(1.09)^10
y = 12852.4
Year 2011 ; x = 11
y = 5428.98(1.09)^11
y = 14009.1
Step-by-step explanation:
X :
1
2
3
4
5
6
7
8
Y:
6231
6574
7237
7211
7701
8581
10302
11796
Using the online linear regression calculator :
The linear trend :
ŷ = 739.49X + 4876.43
Where x = year
With 2006 representing 1 ; and so on
Slope = m = 739.49
Intercept (c) = 4876.43
y = predicted variable
The quadratic model:
General form:
y = A + Bx + Cx²
y = 6755.98 - 388.24x + 125.30x²
The exponential model:
y = AB^x
y = 5428.98(1.09)^x
B.) Next three years :
Year 2009 ; x = 9
Year 2010 ; x = 10
Year 2011 ; x = 11
Linear:
ŷ = 739.49(9) + 4876.43
y = 11531.8
Year 2010 ; x = 10
y = 739.49(10) + 4876.43
y = 12271.3
Year 2011 ; x = 11
y = 739.49(11) + 4876.43
y = 13010.8
Quadratic :
Year 2009 ; x = 9
y = 6755.98 - 388.24(9) + 125.30(9^2)
y = 13411.1
Year 2010 ; x = 10
y = 6755.98 - 388.24(10) + 125.30(10^2)
y = 15403.6
Year 2011 ; x = 11
y = 6755.98 - 388.24(11) + 125.30(11^2)
y = 17646.6
Exponential:
Year 2009 ; x = 9
y = 5428.98(1.09)^9
y = 11791.2
Year 2010 ; x = 10
y = 5428.98(1.09)^10
y = 12852.4
Year 2011 ; x = 11
y = 5428.98(1.09)^11
y = 14009.1
Question 1b Match each expression on the left with an equivalent expression on the right. Some answer options on the left side will be used more than once. 132 ÷ 11 28 2 288 126 7)98 sixty-four divided by four Jestion ID: 29430 Clear 1b of 12 48 3 36 ÷ 2 36 ÷ 3 Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your cursor is over the target before releasing.
The equivalent expression for the given expression 132/11 is 12.
1) Given that, 132/11
Here, the equivalent expression is 132/11 =12
2) 126/7 = 18
3) 7)98(14
7
_______
28
28
________
0
4) Sixty-four divided by four
That is, 64/4 = 16
5) 28÷2
= 28/2
= 14
6) 28/2 = 14
7) 48/3 = 16
8) 36÷2
= 36/2
= 18
9) 36÷3
= 36/3
= 12
Therefore, the equivalent expression for the given expression 132/11 is 12.
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A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
Please explain your answer to the question in the picture with steps.
what is the answer to 5/6 x 4/3
Answer: 5/6 * 4/3 = 10/9
The Decimal Would Be: 1.111111
Step-by-step explanation:
8/3 +8/-7. What is answer
Answer:
1 11/21
Step-by-step explanation:
When added, the answer as a mixed number is 1 11/21.
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Type 7.2e-4 as a floating-point literal but not using scientific notation, with a single digit before and five digits after the decimal point.
Answer:
A
Step-by-step explanation:i did the test
The value of the floating point number is A = 0.00072
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = 7.2e⁻⁴
On simplifying the equation , we get
A = 7.2 x 10⁻⁴
The value of the decimal point is moved 4 units to the left , so
The number A is A = 0.00072
Hence , the floating point number is A = 0.00072
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HELP I HAVE 5 MIN LEFTTT
Answer:
yes its correct
Step-by-step explanation:
Using Additive Inverse to Factor by Grouping
Factor the polynomial 4x4-20x²-3x² + 15 by grouping. What is the resulting expression?
O (4x²+3)(x2²-5)
O (4x²-3)(x²-5)
O (4x² - 5)(x²+3)
O (4x²+5)(x²-3)
Let a=\(4x^{4} -20x^{2} -3x^{2} +15\) . So the resulting polynomial after factorization is a= \((4x^{2} -3)(x^{2} -5)\).
What is polynomial?A polynomial is an expression that only uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.
How do you identify a polynomial?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Let
\(a=4x^{4}-20x^{2} -3x^{2} +15\\=4x^{4} -3x^{2} -20x^{2} +15\\=x^{2} (4x^{2} -3)-5(4x^{2} -3)\\=(4x^{2} -3)(x^{2} -5)\)
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Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°