Null hypothesis: [tex]p = 0.81[/tex]
Alternative hypothesis: [tex]p \ne 0.81[/tex]
The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.
If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81
If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81
However, she wants to know if the percentage is 81%.
If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative and if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A recent study suggested that 81% of senior citizens take at least one prescription medication.
Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital.
She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication.
The null and alternative hypotheses for this hypothesis test will be
Null hypotheses
p = 0.81
Alternative hypotheses
p ≠ 81
According to a recent study, 81 percent of the population (in this case elderly folks) uses at least one drug. The alternate hypothesis is essentially the inverse of the null hypothesis.
If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative.
If Amelia needed to know if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=
Answer:
y = (-1/5)x + 23/5
Step-by-step explanation:
Given:
Two points;
(-2,5) and (3,4)
Find:
Equation of slope
Computation:
y = mx + b
5 = m(-2) + b
5 = -2m + b .......... Eq1
4 = m(3) + b
4 = 3m + b .......... Eq2
Eq2 - Eq1
-1 = 5m
m = -1/5
5 = -2m + b
5 = -2(-1/5) + b
5 = 2/5 + b
b = 23/5
y = mx + b
y = (-1/5)x + 23/5
Suponga que las calificaciones para el IQ (coeficiente de inteligencia) de una población adulta sigue una distribución aproximadamente normal, con una desviación estándar de 15 . Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105. Con base en estos datos, ¿es posible concluir que el IQ medio para la población es menor de 100? Utilice un nivel de significación de 0.01
Answer:
El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.
Step-by-step explanation:
Teste que IQ medio para la población es menor de 100
En la hipótese nula, lo teste es se el IQ medio eres de al menos 100, o sea:
[tex]H_0: \mu \geq 100[/tex]
En la hipótese alternative, lo teste es se el IQ medio es menor de 100, o sea:
[tex]H_1: \mu < 100[/tex]
La estatistica de teste es:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
En que X es el promedio de la muestra, [tex]\mu[/tex] es lo valor testado en la hipótese nula, [tex]\sigma[/tex] es la desviacion estandar y n es lo tamaño de la muestra.
100 testado en la hipótese nula:
Entonces [tex]\mu = 100[/tex]
Desviácion esstándar de 15: Una muestra aleatoria de 25 adultos procedentes de esa población tiene un IQ medio de 105.
Esto significa que [tex]\sigma = 15, n = 25, X = 105[/tex]
Estatisitica de teste:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{105 - 100}{\frac{15}{\sqrt{25}}}[/tex]
[tex]z = 1.67[/tex]
P-value de lo teste e decisión:
El p-value de lo teste es la probabilidad de encontrar una amostra com média abajo de 105, que es 1 subtraído por el p-value de z = 1.67.
En la tabla-z, z = 1.67 tiene un p-value de 0.9525.
1 - 0.9525 = 0.0475
El p-value de lo teste es de 0.0475 > 0.01, o que implica que con base en estos datos, no es posible concluir que el IQ medio para la población es menor de 100.
what is the sum of the rational expressions x-4/2x+3x/2x-1
Answer:
May the ans will help you.
A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows: One Unit ofFood I Food II Food IIIUnits of Protein 10 15 20Units of Carbohydrates 1 2 1Units of Iron 4 8 11Calories 80 120 100The dietician wishes to determine the number of units of each food to use to create a balanced meal containing at least 40 units of protein, 6 units of carbohydrates, and 12 units of iron, and with as few calories as possible. Use solver to find how many units of each food should be used in order to minimize calories.
Answer:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Step-by-step explanation:
Protein Carbohydrates Iron calories
Food 1 (x₁) 10 1 4 80
Food 2 (x₂) 15 2 8 120
Food 3 (x₃) 20 1 11 100
Requirements 40 6 12
From the table we get
Objective Function z :
z = 80*x₁ + 120*x₂ + 100*x₃ to minimize
Subjet to:
Constraint 1. at least 40 U of protein
10*x₁ + 15*x₂ + 20*x₃ ≥ 40
Constraint 2. at least 6 U of carbohydrates
1*x₁ + 2*x₂ + 1*x₃ ≥ 6
Constraint 3. at least 12 U of Iron
4*x₁ + 8*x₂ + 11*x₃ ≥ 12
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
With the help of an on-line solver after 6 iterations the optimal solution is:
z (min) = 360 x₁ = x₃ = 0 x₂ = 3
Nadia has $1.35 in nickels. How many nickels
does she have?
Answer:
27 Nickels
Step-by-step explanation:
Divide 1.35 by 0.05
= 27
At the end of a snowstorm, Jamal had 18 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 2.5 inches per hour. Assuming no more snow was falling, how much snow would Jamal have on his lawn 5 hours after the snow began to melt? How much snow would Jamal have on his lawn after tt hours of snow melting?
Answer:
Part 1)
5.5 inches.
Part 2)
[tex]y=-2.5t+18[/tex]
Step-by-step explanation:
We can write a linear equation to model the function.
Let y represent the inches of snow and let t represent the number of hours since the end of the snowstorm.
A linear equation is in the form:
[tex]y=mt+b[/tex]
Since there was 18 inches of snow in the beginning, our y-intercept or b is 18.
Since it melts at a constant rate of 2.5 inches per hour, our slope or m is -2.5.
Substitute:
[tex]y=-2.5t+18[/tex]
This equation models how much snow Jamal will have on his lawn after t hours of snow melting.
So, after five hours, t = 5. Substitute and evaluate:
[tex]y=-2.5(5)+18=5.5\text{ inches}[/tex]
After five hours, there will still be 5.5 inches of snow.
hi will you assit me please? God bless you for helping students
2)
110°
18x + 2
A) 8
C) 6
B) 12
D) -10
Answer:
C) 6
Step-by-step explanation:
Alternate interior angles are congruent meaning that they are equal to each other sp 18x+2=110 is simplified to 18x=108. Then divide by 18 to get x equal to 6. Hope this helped and post more :)
The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.10 Find the probability that X <_-3
Answer:
0.3 probability that [tex]x \leq -3[/tex]
Step-by-step explanation:
The probability distribution is given in the table.
Probability that x <= -3
The values that are -3 or lower are -3 and -5. So
[tex]P(X \leq -3) = P(X = -3) + P(X = -5)[/tex]
From the table:
[tex]P(X = -3) = 0.13, P(X = -5) = 0.17[/tex]. So
[tex]P(X \leq -3) = P(X = -3) + P(X = -5) = 0.13 + 0.17 = 0.3[/tex]
0.3 probability that [tex]x \leq -3[/tex]
Answer:0.3
Step-by-step explanation:
Find the angle measurements of the intersections for the two equations f(x) = 4x - 5 and g(x) = 2x^2 - 5.
Multiple answers
63
7 (This is one of the answers already)
20
76
90
Answer:
76° is the other one
Step-by-step explanation:
nope, no precise calculation here. the option are thankfully enough apart that solving it graphically is just fine. look at the screenshot. the upper intersection is the one with the 7° angle
the lower one is somewhat less than 90° :P
Answer:
76 is the other
Step-by-step explanation:
please help me please
Answer:
30,000
Step-by-step explanation:
Given the line segment AB=36 cm and a point C on directed line segment AB that partitions AB into the ratio 1 to 2, find the lengths of the line segments AC and CB
Find two consecutive integers whose sum is 901.
the answer is :
x+1 and x+2
Answer:
900+1=901
Step-by-step explanation:
Please help please guys how are you doing
Answer:
the answer of the the triangle is 6
Answer:
6
Step-by-step explanation:
First row:
8 ÷ 2 = 4. → Square: 4
Second row:
14 - 4 = 10.
[two circles] = 10. So, 10÷2 = 5.
Circle = 5
Third Row:
[triangle] + 5 = 11
11 - 5 = 6
Triangle = 6
Graph the Image of AKLM after a translation 1 unit left and 7 units up.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Pick a point (such as K, L, or M). Count one grid square to the left and 7 up. That is its new location.
Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate
Your neighbor is putting in a small square deck with side length x+4, as pictured below, where x is measured in feet. (x + 4) (x + 4) Part A Write a polymonial in standard form that represents the area of the deck Part B. Write an expression for the cost of the lumber for the top of the deck if the lumber costs $5 per square foot. Part C. If x = 3 feet what will be the cost of lumber for the top of the deck?
Please help meee! I'll make you brainliest or anything you want I swear! I'm desperate
here we go it riddle time! READY??
whats starts off tall when young and shorter when older
(please dont report we r j trying to have some fun)
Use the table to approximate AB in the triangle below.
Answer:
Answer is 6.1 units
Step-by-step explanation:
The measure of length of AB in the triangle ABC is 6.1 units.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given triangle ABC, BC=5 and ∠A=55°.
We know that, sinθ= Opposite leg length/Hypotenuse length
Here, sinA=BC/AB
sin55°=5/AB
0.82=5/AB
AB=5/0.82
AB=6.1 units
Therefore, the measure of length of AB in the triangle ABC is 6.1 units.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ2
Given the inequalities y < 4 x - 6 and y < X - 6 graphed on the same coordinat
grid, which of the following coordinates gives a true statement?
A. (6,-2)
B. (-4,-2)
C. (-6,-2)
D. None of the above
please helppppppppppppppp
Answer:
10 units
Step-by-step explanation:
Given that,
The area is modeled by the equation as follows :
[tex]A=-l^2-10l+300[/tex]
Where
l is the linear dimensions of the frame.
Put A = 100
So,
[tex]-l^2-10l+300=100\\\\-l^2-10l+200=0\\\\l=10,-20[/tex]
So, the linear dimension of the frame is equal to 10 units.
What number is missing here?
2, 3, 5, 8, 13. ?
Answer:
2, 3, 5, 8, 13 missing number is 18.
Which of these strategies would eliminate a variable in the system of equations?
-7x + 2y = 5
3x - 5y = -5
A. Add the equations
B. Multiply the top equation by 3, multiply the bottom equation by 7, then add the equations.
C. Multiply the top equation by 5, multiply the bottom equation by 2, then add the equations.
Answer:
Step-by-step explanation:
A
Find the hypotenuse, c, of the triangle.
====================================
Work Shown:
a^2+b^2 = c^2 ... pythagorean theorem
c = sqrt(a^2+b^2)
c = sqrt(4^2+12^2)
c = 12.6491106406736
c = 12.65
Answer:
[tex]4 \sqrt{10} [/tex]Step-by-step explanation:
Given,
Height of the triangle = 4
Base of the triangle = 12
Therefore,
Hypotenuse of the triangle
[tex] {(base)}^{2} + {(height)}^{2} = {(hypotenuse)}^{2} [/tex]
[tex] = > {(12)}^{2} + {(4)}^{2} = {(hypotenuse)}^{2} [/tex]
[tex] = > {(hypotenuse)}^{2} = 144 + 16[/tex]
[tex] = > {(hypotenuse)}^{2} = 160[/tex]
[tex] = > hypotenuse = \sqrt{160} [/tex]
[tex] = > hupotenuse = \sqrt{5 \times 2 \times 2 \times 2 \times 2 \times 2} [/tex]
[tex] = > hypotenuse = 2 \times 2 \sqrt{5 \times 2} [/tex]
[tex] = > hypotenuse = 4 \sqrt{10} \: (ans)[/tex]
cos() =
O A. V
B.
173
2
OC.
OD.
-3
Answer:
-√3/2
Step-by-step explanation:
Given the expression:
Cos(7π/6)
Conver to degrees
= Cos(7(180)/6)
= cos 210
= -√3/2
Hence the value of cos(7π/6) is -√3/2
A city is designing a new trail system that will be
6 1/6 miles long. They plan on placing 49 mileage signs to show the distance. How far apart will each sign be?
Step-by-step explanation:
the answer is 6.125 and its will be divided by 125
Simplify: (5x + 3) – (3x – 2)
Answer: 2x+5
Step-by-step explanation:
(5x + 3) – (3x – 2)
5x+3-3x+2
2x+5
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
╭⋟───────────────
[tex](5x+ 3) - (3x - 2) \\ = 5x + 3 - 3x + 2 \\ = 5x - 3x + 3 + 2 \\ = 2x + 5[/tex]
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
What is the answer plz?
Answer:
[tex]1\frac{9}{12}[/tex]
Step-by-step explanation:
Convert any whole numbers to improper fractions
[tex]\frac{9}{4}-\frac{3}{6}[/tex]
Find the LCM of the denominators and use multiplication to change the denominators to the LCM
[tex]\frac{27}{12}-\frac{6}{12}[/tex]
Subtract
[tex]\frac{21}{12}[/tex]
Simplify
[tex]1\frac{3}{4}[/tex]
[tex]1\frac{9}{12}[/tex] can be simplified to [tex]1\frac{3}{4}[/tex] so the answer is [tex]1\frac{9}{12}[/tex]
Pls help this is urgent!!!
Answer:
1/2
Step-by-step explanation:
numbers taken = 1 to 40
multiples of 2 are = {2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40}
so there are 20 favourable outcomes.
probability = 20/40
=1/2
for multiples of 3
multiples = {3,6,9,12,15,18,21,24,27,30,33,36,39}
there are 13 favourable outcomes
probability = 13/40
since there is no 13/40 the answer should be the probability of multiples of 2 i.e 1/2
There are red, blue, and white buttons in a box. The ratio of the
number of red buttons to the number of white buttons is 4:7.
The ratio of the number of blue buttons to the number of red buttons
is 3:2. There are 280 white buttons.
How many buttons are there altogether?
Please help i’m very confused
Answer:
680
Step-by-step explanation:
Ratio of red to white 4 : 7
Number of white = 280
White + red buttons = x
7x / 11 = 280
7x = 280 * 11
7x = 3080
x = 3080 / 7
x = 440
Number of red buttons 440 - 280 = 160
Number of red bottons ;
Blue + red buttons = x
3 : 2 ; blue : red
3 + 2 = 5 ;
2x / 5 = 160
2x = 160 * 5
2x = 800
x = 800 / 2
x = 400
Number of Blue buttons :
400 - 160 = 240
Total :
White + red + blue
280 + 160 + 240 = 680 buttons
The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?
Answer:
[tex]h(x) = \sqrt{x+5}[/tex], option C.
Step-by-step explanation:
The parent function is [tex]f(x) = \sqrt{x}[/tex]
Function h:
Function h is function f shifted left 5 units.
Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]
Thus:
[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]
The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.
Answer:
c
Step-by-step explanation: