the mean systolic blood pressure of all healthy adults is less than 122 mm Hg. Simple data for 281 healthy adults, the mean systolic blood pressure level is 119.87 mm Hg and the standard deviation is 15.21 mm Hg. Complete part a and b. express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure for a healthy adult
Answers
a) The claim is given as follows:
[tex]\mu < 122[/tex]
b) The null and the alternative hypothesis are given as follows:
Null hypothesis: [tex]H_0: \mu \geq 122[/tex].Alternative hypothesis: [tex]H_0: \mu < 122[/tex].What are the null and the alternative hypothesis?The claim in this problem is given as follows:
The mean systolic blood pressure of all healthy adults is less than 122 mm Hg.
Symbolically, the claim is given as follows:
[tex]\mu < 122[/tex].
As:
The symbol [tex]\mu[/tex] represents the mean.The symbol < represents less than.At the null hypothesis, it is tested if there is not enough evidence to conclude that the claim is true, that is, not enough evidence to conclude that the mean systolic blood pressure of all healthy adults is less than 122 mm Hg, hence:
[tex]H_0: \mu \geq 122[/tex].
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the claim is true, that is, enough evidence to conclude that the mean systolic blood pressure of all healthy adults is less than 122 mm Hg, hence:
[tex]H_1: \mu < 122[/tex].
Missing InformationThe questions are given by the image at the end of the answer.
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Related Questions
the least-squares solution of a x = b is the vector in the column space of a closest to b. true or false?
Answers
The statement that least-squares solution of a x = b is the vector in the column space of a closest to b is; true
How to interpret least square solution of matrix vector?
One method for computing a least-squares solution of Ax = b is;
Compute the matrix A T A as well as the vector A T b .Form the needed augmented matrix for the given matrix equation A T Ax = A T b , and then row reduce.This equation is always consistent, and as such any solution K x will be a least-squares solution.Now, If b is in the column space of A then it tells us that there is at least one exact solution to the system Ax = b. In this case, it means that every solution to the system minimizes |Ax − b| (makes it zero) and as such is a least squares solution.
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divide 210 between James and John in ratio 3:4
Answers
well, we can simply divide 210 by (3 + 4) and then distribute accordingly
[tex]\stackrel{James}{3}~~ : ~~\stackrel{John}{4} ~~ \implies ~~ \stackrel{James}{3 ~~ \cdot \frac{210}{3+4}}~~ : ~~\stackrel{John}{4~~ \cdot \frac{210}{3+4}} ~~ \implies ~~ \stackrel{James}{3 \cdot \frac{210}{7}}~~ : ~~\stackrel{John}{4 \cdot \frac{210}{7}} \\\\\\ \stackrel{James}{3(30)}~~ : ~~\stackrel{John}{4(30)} ~~ \implies ~~ \stackrel{James}{90}~~ : ~~\stackrel{John}{120}[/tex]
Answer:
James- 90 and John- 120
Step-by-step explanation:
Since you want to divide 210 with a ratio of 3:4. It's easiest to first add your 3 and 4. This =7. Now you know you have to divide 210 by 7 before you give them to James and John. 210 divided by 7 = 30. Now do 30 times each ratio.
James has 30 x 3 and John has 30 x 4
this leaves you with 90 and 120
helppppppppppppppppppppppp.
Answers
Answer:
[tex]\huge\boxed{\sf x = 3}[/tex]
Step-by-step explanation:
Given function:f(x) = 3x - 5
Given that, f(x) = 4
Put it in the above equation.
4 = 3x - 5
Add 5 to both sides
4 + 5 = 3x
9 = 3x
Divide 3 to both sides
3 = x
x = 3
[tex]\rule[225]{225}{2}[/tex]
Part of the proceeds from a garage sale was $500 worth of $10 and $20 bills. If there were 11 more $10 bills than $20 bills, find the number of each denomination.
There were
enter your response here $10 bills
enter your response here $20 bills.
Answers
From the given parameters of linear equation, we can say that;
The number of $10 bills is; 24
The number of $20 bills is; 13
How to solve linear equation word problems?Let x be the number of the $20 dollars bills.
Then the number of the $10 dollars bills is (x + 11), according to the condition.
The money equation is expressed as;
20x + 10*(x + 11) = 500
Simplify and solve for x.
20x + 10x + 110 = 500
30x = 500 - 110
30x = 390
x = 390/30
x = 13
Then number of $10 bills is 13 + 11 = 24
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5. Which expression is equivalent to rm÷r? (4 points)
Om-n
Om+n
Om-nks
Om÷n
6. Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational (?
Answers
The expression which is equivalent to rm ÷ rn exists rm − n.
What is meant by mathematical expression?A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific rules.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one math operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
Combining operators, constants, and variables creates an expression. One or more operands, 0 or more operators, and a value can all be part of an expression.
Let the expression be rm ÷ rn
[tex]$=\frac{r m}{r n}=\frac{m}{n}$[/tex]
simplifying the above equation, we get
[tex]$r^m \div r^n$[/tex]
[tex]$=\frac{r^m}{r^n}=r^{m-n}$[/tex]
Therefore, the correct answer is option A. rm − n.
The complete question is:
Which expression is equivalent to rm ÷ rn? (4 points)
A. rm − n
B.rm + n
C. rm ⋅ n
D.rm ÷ n
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3.13R Question:
Evaluate the exponential function f(x)=(1/12)^x
Answers
The values of the exponential function are f(1) = 1/12, f(-1) = 12 and f(1/2) = √1/12
How to evaluate the exponential function?From the question, we have the following functions that can be used in our computation:
f(x) = (1/12)^x
Also from the question, we have the following x values
f(1), f(-1) and f(1/2)
This means that x = 1, -1 and 1/2
Substitute x = 1, -1 and 1/2 in the equation f(x) = (1/12)^x
So, we have the following representations
f(1) = (1/12)¹ = 1/12
f(-1) = (1/12)⁻¹ = 12
f(1/2) = (1/12)¹/² = √1/12
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A map has a scale of 1 cm to 12 km.
On a map, the distance between Cardiff and London is 20 cm.
What is the real distance, in km, between Cardiff and London?
Answers
Awnser : 240km
Step-by-step explanation:
Elizabeth makes an initial down payment of $2000
$2000
, then repays $90
$90
per week.
Calculate how many weeks it takes Elizabeth to fully pay off $45000.
Answers
Answer: 500
Step-by-step explanation:
$2000
$45,000 divided by 90 = 500
It will take her 500 weeks to pay $45,000'
Hope this helps
The side ratio of two shapes is 3:4.
Answers
The ratio of the area of the two squares is 9:16.
A square has four corners and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.
A square is a closed object with four sides that are all the same length, and its interior angles are all 90 degrees. A square can have many different characteristics. The following list includes some of a square's key characteristics.
A quadrilateral with four sides and four vertices is called a square.The square's four sides are equal to one another.A square's diagonals are parallel to one another.Each vertex of a square has a 90° internal angle.360° is the total of all interior angles.If it is square:
The ratios of the sides of two squares = 3:4
Let the common multiple of the above ratio be x.
So, side of one square = 3x
and side of the other square = 4x
Area of square = (side)²
Area of square with side 3x = (3x)² = 9x²
Area of square with side 4x = (4x)²= 16x²
Ratio of the areas of the two squares = Area of square with side 3x/Area of square with side 4x = 9x²/16x² = 9/16 = 9:16
Therefore, the ratio of the area of the two squares is 9:16.
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please help me solve the surface area
Answers
Can you please help me
Answers
Answer:
first graph
Step-by-step explanation:
x > n
the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )
the arrow from n will point in the right direction, indicating values of x greater than n.
the graph representing x > n is the first graph
a(3t5) plssssssssssssss help
Answers
Answer:3ta+5a
Step-by-step explanation:
just times it, its that easy
Given the following table of values for f(x), find f(5).
x −4 0 1 4 5 7
f(x) 3 −3 −3 −5 5 9
Answers
Check the picture below.
Which expression is equivalent to ↓
Answers
Step-by-step explanation:
Answer is D.
Breaking it down;
1/3 + 2/6 = 4/6.
4/6 - 5/6 = -1/6
-1/6 × 3/11 = -3/66
A family buys a studio apartment for $200,000. They pay a down payment of $50,000. a. Their down payment is what percent of the purchase price? b. What percent of the purchase price would a $90,000 down payment be?
Answers
Hence, in option (A) the down payment is what percent of the purchase price is [tex]25[/tex]% and in option (B) the purchase price would be [tex]90000[/tex] $ down payment is [tex]45[/tex] %.
What is the installation amount?
Installation Cost means the total cost payable by the Lessee to the Lessee’s direct contractor under the contract for the carpet installation works.
Payment of the Attendance Fees for the Designated Works may be made by the Lessee progressively in the course of the relevant Designated Works being carried out.
Here given that,
A family buys a studio apartment for $[tex]200,000[/tex]. They pay a down payment of $[tex]50,000[/tex].
(A)
The down payment is the percentage of purchase price is
[tex]\frac{50000}{200000}[/tex] × [tex]100[/tex] [tex]=[/tex] [tex]25[/tex] %
(B)
The percent of the purchase price would be [tex]90000[/tex] $ down payment is
[tex]\frac{90000}{200000}[/tex] ×[tex]100[/tex] [tex]=45[/tex] %
Hence, in option (A) the down payment is what percent of the purchase price is [tex]25[/tex]% and in option (B) the purchase price would be [tex]90000[/tex] $ down payment is [tex]45[/tex] %.
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5 liters of petrol is needed for a motorbike to cover 200km. 1)what is the mileage of the bike. 2)how much petrol is needed to cover 320km.
Answers
Answer:
1. mileage of the bike = 40Km
2. petrol needed to cover 320Km = 8L
Need help with this math question asap please
Answers
Number of sides = 13, sum of Interior angles = 1980°, the measure of one Interior angle = 152.30°, sum of exterior angles = 360°, and the measure of one exterior angle = 27.69°.
A polygon is given in the figure
According to the given question, the required solution would be as:
Number of sides = 13
Interior angles of a polygon = (sides - 2) × 180°
In this case, the number of sides is 13
Sum of Interior angles = (13 - 2) × 180
Sum of Interior angles = (11) × 180
Sum of Interior angles = 1980°
the measure of one Interior angle = 1980°/13
the measure of one Interior angle = 152.30°
The sum of exterior angles is always 360° in the regular polygon.
Sum of exterior angles = 360°
the measure of one exterior angle = 360°/13
the measure of one exterior angle = 27.69°
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The remainder is what’s left when you divide. The part you cannot divide.
You can divide 75 by 3 = 25, so the remainder is 1.
Answers
The correct dividend of 76 is required to yeild a quotient of 25 and a remainder of 1 when divided by 3.
Division FormulaWe can know the dividend, the quotient and the remainder of the division using the division formula: (Divisor x Quotient) + Remainder = Dividend
Divisor = 3
Quotient = 25
Remainder = 1
(3 × 25) + 1 = 75 + 1
(3 × 25) + 1 = 76
Thus, the dividend 76 divided by the divisor 3 have the quotient 25 and a remainder when of 1.
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A bird sits on the branch of a tree, then starts to fly. The height of the bird is described by the function y = 0.6sin(πx/12) + 35, where y represents the height of the bird measured in meters, and x represents the number of seconds since the bird left the branch.
Which function expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters?
A.y=12/πsin^-1(x-35/0.6)
B.y=12/πsin^-1(x+35/0.6)
C.y=π/12sin^-1(x/0.6)-35
D.y=π/12sin^-1(x/0.6)+35
Answers
y=12/πsin⁻¹(x-35/0.6) is the function which expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
A bird sits on the branch of a tree, then starts to fly.
The height of the bird is described by the function y = 0.6sin(πx/12) + 35
Where y represents the height of the bird measured in meters,
x represents the number of seconds since the bird left the branch
We need to find the function expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters
y=12/πsin⁻¹(x-35/0.6)
Hence, y=12/πsin⁻¹(x-35/0.6) is the function which expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters
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Answer:
Answer is A
Step-by-step explanation:
got it right on assignment.
Encuentra la ecuación de la parábola y los elementos que se solicitan, sabiendo que su vértice está en el origen y su foco está en F (0, -15).
Answers
The equation of parabola for the given statement is: [tex]x^{2} = -60y[/tex]
What is Parabola ?The locus of points where point moves under a restriction that its distance from a fixed point Focus(F) and fixed line Directrix always remain constant
Solution: here focus of parabola is on -ve y axis so we will take general equation of parabola whose focus is on -ve y axis and directrix will be above x axisi.e[tex]x^{2} =-4ay[/tex]
here a is the distance between vertex and focus and here vertex is origin so by distance formula it comes out to be a = 15
put back in above equation we get its equation[tex]x^{2} = -60y[/tex]which is our required equation of parabola.
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When Ibuprofen is given for fever to children 6 months of age up to 2 years, the usual dose is 5 milligrams (mg) per kilogram (kg) of body weight when the fever is under 102.5 degrees Fahrenheit. How much medicine would be usual dose for a 18 month old weighing 22 pounds?
Answers
If Ibuprofen is given for fever to children 6 months of age up to 2 years.The amount of much medicine that would be usual dose for a 18 month old weighing 22 pounds is 50kg.
How to find the medicine dose?1 pound = 0.45 kg
Hence,
22 pounds = 22×0.45 Kg
22 pounds = 9.9Kg
Now let find the the amount of medicine that would be the usual dose
Medicine dose = 5mg × 9.9kg
Medicine dose =49.5 kg
Medicine dose = 50 kg
Therefore the medicine dose is 50kg.
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I need help with this fast. Can anyone help me thank you
Answers
Part (a)
4, read it off the diagram.
Part (b)
(4 in)(1 ft/12 in) = 1/3 ft
Part (c)
(60 ft)(20 ft)(1/3 ft)=400 cu ft
Part (d)
(66 ft)(26 ft)(1/3 ft)=572 cu ft
Part (e)
572 cu ft - 400 cu ft = 172 cu ft
Find X n the missing angles
Answers
First picture answer:
⇒Sum of interior angles of a triangle is equal to 180°
⇒This means that ∠D+∠E+∠F=180°
⇒∠D is (5x-2)°,∠E is (9x+3)°,∠F is (11x-21)°
⇒Plug in the values of the angles in the general equation above.
[tex](5x-2)+(9x+3)+(11x-21)=180\\[/tex]
⇒Group the like terms together and simplify.
[tex]5x+9x+11x-2+3-21=180\\25x-20=180\\25x=180+20\\25x=200\\\frac{25x}{25} =\frac{200}{25} \\x=8[/tex]
⇒x=8°
________________________________________________________
Second picture answer:
⇒If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
⇒ ∠C is the exterior angle.
⇒ ∠A and ∠B are the interior angles.
The above statement simply means
∠C=∠A+∠B
⇒ Given that ∠A is (13x-11)°
∠B is(4x+1)°
∠C is (18x-15)°
⇒Plug in the values of the angles and solve for x.
[tex](18x-15)=(13x-11)+(4x+1)\\[/tex]
⇒Group the like terms and solve.
[tex]18x-13x-4x=-11+1+15\\x=5[/tex]
⇒ x=5°
How many periods of the function
y = sin x are there between
-10п < 0 ≤ 6п ?
Answers
The number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.
The given trigonometric function is y=sinx.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the interval is -10π < 0 ≤ 6π
Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.
Amplitude: 1
Period: 2π
Phase Shift: None
Vertical Shift: None
Plot (0, 0), (π/2, 1), (π, 0), (3π/2, -1) and (2π, 0)
Therefore, the number of periods of the function y = sinx are there between -10π < 0 ≤ 6π is 8.
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Find angle a, given that that the hexagon is regular
Answers
A. Directions: Add the following decimals and mixed decimals. Write your answer on the
spaces provided.
1. 8.9395 +1.2973=
2.2.8862 +8.2758=
3. 5.9529 +2.0043 =
4. 1.223+0.4643=
5. 3.2292 +9.45 =
=
100.0
6. 2.421 +6.0473=
7. 5.2697 + 4.4603
8. 0.0003 +2.6035 =
9. 3.7092 +9.2965-
10. 7.0551 +0.8388:
=
Answers
The answer for 8.9395 +1.2973 is 10.2368 for .2.8862 +8.2758=11.162, and for 5.9529 +2.0043 = 7.9572.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
1. 8.9395 +1.2973=10.2368
2.2.8862 +8.2758=11.162
3. 5.9529 +2.0043 = 7.9572
4. 1.223+0.4643=1.6873
5. 3.2292 +9.45 =12.6792
6. 2.421 +6.0473=8.4683
7. 5.2697 + 4.4603=9.73
8. 0.0003 +2.6035 =2.6038
9. 3.7092 +9.2965=13.0057
10. 7.0551 +0.8388=7.8939
Thus, the answer for 8.9395 +1.2973 is 10.2368 for .2.8862 +8.2758=11.162, and for 5.9529 +2.0043 = 7.9572.
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4[tex]\left \{ {{y=2} \atop {x=2}} \right. \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]
Answers
Answer:
5 4/9
Step-by-step explanation:
our equation is 4 2/3+7/9
2/3=6/9.
So we have 4 6/9+7/9
Simplify:
4 13/9
5 4/9
In 2000, there were 47,000 teen births in the United States. In 2015, there were 22,300 teenage births. What is the percent change in the number of teen births between 2000 and 2015?
Answers
The required percentage change in the number of teen births between 2000 and 2015 is 52.5%.
Given that,
In 2000, there were 47,000 teen births in the United States. In 2015, there were 22,300 teenage births. The percent change in the number of teen births between 2000 and 2015 is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Number of teens in the year 2000 = 47,000
Number of teens in the year 2015 = 22300
Percentage change = 47000-22300/47000 × 100 = 52.5%
Thus, the required percentage change in the number of teen births between 2000 and 2015 is 52.5%.
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3. Four relationships are given.
Relationship A: x 3 2 1 y 2 2/3 1 2 / 3 2/3 Relationship B: 2x=y
Relationship C: y=2+x
Relationship D: x 3 6 y 6 12 In which two relationships are the constant of proportionality 2?
Answers
Of the four relationships the ones that have the constant of proportionality of 2 are
Relationship B and Relationship DHow to show the the constant of proportionality existing between themThe constant of proportionality is the constant that relates the input with output terms
Relationship A
the output, y dies it equal 2 * input
an instance = 2 * 3 = 6 not 2 2/3
Relationship B
y = 2x has the constant written out already
Relationship C
Represents a linear function
Relationship D
y = 6, x = 3
y = 2x
when x = 3 y = 6
when x = 6 y = 12
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On a standardized exam, the scores are normally distributed with a mean of 85 and a standard deviation of 20. Find the z-score of a person who scored 80 on the exam.
Answers
-0.25 is the z-score of a person who scored 80 on the exam.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data
Given,
On a standardized exam, the scores are normally distributed
mean is 85 and a standard deviation is 20.
We need to find z-score of a person who scored 80 on the exam.
Z=x-μ/σ
x=80, μ=85 and σ=20
Z=80-85/20
Z=-5/20
Z=-1/4
Z=-0.25
Hence, -0.25 is the z-score of a person who scored 80 on the exam.
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