A counselor at the local chapter of Impulse Buyers Anonymous had just conducted a weekend workshop on how to be less suggestible. To find out if the workshop had any effect, she had each participant fill out a questionnaire that measured suggestibility, with high scores indicating high suggestibility. (Several such questionnaires exist.) Suppose that the national norm (mean) for the questionnaire that was used was 25 and that the participants produced the following statistics. Construct a 95 percent confidence interval and sentence of interpretation that tells about the effect of the workshop.ΣΧ = 242 ΣΧ2 = 5,413 N = 11
Answer:
(20.322 ; 23.678)
Step-by-step explanation:
Given that :
ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11
Mean, m = ΣΧ / N = 242 / 11 = 22
Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]
Standard deviation = sqrt[(5413/11) - (242/11)^2]
Standard deviation = sqrt(8.0909090) = 2.84
Confidence interval = m ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Lower boundary = 22 - 1.96*2.84/sqrt(11)
Lower boundary = 22 - (1.96 * 0.8562922) = 20.322
Upper boundary = 22 + (1.96 * 0.8562922) = 23.678
0/0=? *please answer*
Answer:
0000000000000000000
Step-by-step explanation:
the equation equals any number so you could use a variable
so the answer unsimplified is infinity
oh nawgs whats thay do to the bod :(
Answer:
lol
Step-by-step explanation:
.....................
Defective Merchandise Suppose that 8% of a certain batch of calculators have a defective case, and that 11 % have defective batteries. Also, 3% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
Answer:
0.84 = 84% probability that the calculator has a good case and good batteries.
Step-by-step explanation:
We have these following percentages:
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
Using Venn Diagrams:
Event A: Defective Case
Event B: Defecitve Battery
So the probabilities are: [tex]P(A) = 0.08, P(B) = 0.11, P(A \cap B) = 0.03[/tex]
Probability of at least one problem:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.08 + 0.11 - 0.03 = 0.16[/tex]
Find the probability that the calculator has a good case and good batteries.
No problems, so
[tex]p = 1 - P(A \cup B) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is 0.84 or 84%
Calculation of the probability:Since
8% of a certain batch of calculators have a defective case.
11 % have defective batteries.
3% have both a defective case and defective batteries.
So, the probability is
= 1- (0.08 + 0.11 - 0.03)
= 1 - 0.16
= 0.84
Therefore, The probability that the calculator has a good case and good batteries is 0.84 or 84%
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Which of the following is not a function
{(-1,-2), (0, -3),(1,-2), (2,1)}
{(-1,-2), (0, -3), (1, -2), (2, 1)
{(-2, 2), (-1,1),(0,0),(1,1)}
{(-2,0), (2,2), (2, -2), (7,3)}
Answer:
The final set is not a function.
Step-by-step explanation:
There are two x-values that are the same, making it not a function. Notice, this is not the same in the other sets, because each x corresponds to exactly one y-value in the other functions.
Reduce the ratio to its lowest form. 72:8
Answer:
9:1
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 72 and 8 is 8
Divide both terms by the GCF, 8:
72 ÷ 8 = 9
8 ÷ 8 = 1
The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :
72 : 8 = 9 : 1
Therefore:
72 : 8 = 9 : 1
Buffy ate 10 hot dogs every 35 minutes. At that rate, how long, in minutes will it take to eat 6 hot dogs
Answer:
21 minutes
Step-by-step explanation:
35 ÷ 10 = 3.5
3.5 × 4 = 14
35 - 14 = 21
=21
If a pound of coffee costs 12. How many ounces can be brought for 3.90
2. How many terms are there in the expression: 3a + 6
Answer: 2
Step-by-step explanation: That expression is a binomial in any case the terms in a polynomial are separated by a plus or minus sign (+,-) so you can determine the number of terms by counting how many number or variable are being separated (ex: 3a+a-1 would have 3 terms and be a trinomial)
Please help w my math homework giving a 100 points
Answer:
It is only 5 point not 100,she cappin
Step-by-step explanation:
What is the area of this figure?
Answer:
75.398
Step-by-step explanation:
If X = 10, find the value of the variable b. If your answer is not an integer, round to 2 decimal places.
What is the volume, in cubic cm, of a rectangular prism with a height of 8cm, a width of 2cm, and a length of 7cm?
Please , help .
Answer:
v = A x H = LxW xH = 7cm x 2cm x 8cm =112CM^3
Answer:
112 cm³
Step-by-step explanation:
In this question, we have to find the volume of a rectangular prism.
The formula to find the volume of a rectangular prism would be: V = L × W × H
To find the volume, plug in the values and solve.
Solve:
V = 7 × 2 × 8
V = 14 × 8
V = 112
This means that the volume of the rectangular prism is 112 cm³
Remember, volume is always represented with a exponent of 3, or cubed, in the unit.
Your answer would be 112 cm³
A lake is regularly fished by 200 fishermen. A study has found that 31% of the fish
in a lake are bass. Scientists determine there are approximately 16 000 fish in the
lake and that no more than one quarter of any type of fish should be taken out of
the lake in a year if the species is to survive. What is the limit on the number of
bass for each fisherman in one year?*
SHOW ALL STEPS OF YOUR CALCULATIONS
Answer:
Step-by-step explanation:
I think I had this question
−6y=4,3x-18y=43x−18y=4 has no solution. Change one constant or coefficient to make a new system with an infinite number of solutions.
Answer: the anwer is =46.76
Step-by-step explanation:
1.Encuentra de dos formas diferentes el área de las figuras mostradas en cada literal:
Answer:
Cuadrilátero A: [tex]A = y^{2}+4\cdot y +4[/tex]
Cuadrilátero B: [tex]A = a^{2}+6\cdot a + 9[/tex]
Step-by-step explanation:
Existen dos formas distintas de determinar las áreas de cada cuadrilátero:
(i) Obtener el área de cada cuadrado y sumar los resultados.
(ii) Calcular los lados del cuadrilátero grande y determinar el área.
Cuadrilátero A
Método (i)
[tex]A = y^{2}+2\cdot y +4+2\cdot y[/tex]
[tex]A = y^{2}+4\cdot y +4[/tex]
Método (ii)
[tex]A = (y+2)\cdot (y+2)[/tex]
[tex]A = y^{2}+4\cdot y + 4[/tex]
Cuadrilátero B
Método (i)
[tex]A = a^{2}+3\cdot a +9 + 3\cdot a[/tex]
[tex]A = a^{2}+6\cdot a +9[/tex]
Método (ii)
[tex]A = (a+3)\cdot (a+3)[/tex]
[tex]A = a^{2}+6\cdot a + 9[/tex]
The school band is having its end-of-year dinner at a local restaurant. The director wants to give the server a 20% gratuity, and the sales tax is 8.25%. He
will use the amount of the bill to find each additional amount.
Part A
Which components would the director use to write an equation to determine the total cost of the meal, given the amount of the bill, <?
Select all the components of the equation.
X+0.20
0.825x
0.20x
x+0.825
0.0825x
x
Answer:
Step-by-step explanation:
x is the amount of the bill
tax = 8.25% of x = 0.0825x
tip = 20% of x = 0.20x
total payment = x + 0.0825x + 0.20x = 1.2825x
The total cost of the meal is given by the equation A = x + 0.2x + 0.0825x and A = 1.2825x , where x is the initial cost of the meal
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 total cost of the meal be represented as A
Now , the equation will be
Let the cost of the meal be x
Let the tip percentage be = 20 %
Now , the sales tax percentage of the meal = 8.25 %
So , the total cost of the meal A = cost of the meal + ( tip percentage x cost of the meal ) + ( sales tax percentage of the meal x cost of the meal )
Substituting the values in the equation , we get
The total cost of the meal A = x + ( 20/100 )x + ( 8.25/100 )x
On simplifying the equation , we get
The total cost of the meal A = x + 0.2x + 0.0825x
The total cost of the meal A = 1.2825x
Hence , the equation is A = 1.2825x
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Expand this expression
.-(-5+ +12)
Answer:
-(-5+12)
opening bracket
-1×-5=5
-1×+12=-12
5+12=17
Answer: = -7
Step-by-step explanation:
you have to remove the + sign and the period and your answer will be -7
what is the GCF of 8,12,16
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
4 * 2 = 8
4 * 3 = 12
4 * 4 = 16
PLEASE HELP ASAP, I HAVE 10 MINUTES ;
Arianna and her children went into a grocery store where they sell peaches for $1 each and mangos for $0.50 each. Arianna has $9 to spend and must buy at least 13 peaches and mangos altogether. If x represents the number of peaches purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Step-by-step explanation:
when 13 bought we find these inequalities
x + 12y < 7 no
2x + 11y < 7.5 no
3x + 10y < 8 no
4x + 9y < 8.5 no
5x + 8y > 9 yes
When 14 bought we find these inequalities
x + 13y < 7.5 no
2x + 12y < 8 no
3x + 11y < 8.5 no
4x + 10y > 9 yes
We want to find and solve a system of inequalities to determine some possible solutions to Arianna's situation.
The possible solution is:
x = 2
y = 12
And the graph can be seen at the end.
Now let's see how to solve this.
First, we need to write the system of inequalities, the information given is:
Price of each peach = $1.Price of each mango = $0.50Arianna has $9.Arianna must buy at least 13 fruits.Now we can define the variables:
x = number of peaches that she buysy = number of mangos that she buysThen we must have:
x + y ≥ 13 (this means that she buys at least 13 fruits)
x*$1 + y*$0.50 ≤ $9 (this means that she can't spend more than $9)
Now we just need to graph these two lines, we can rewrite them as:
y ≥ 13 - x
y ≤ $9.00/$0.50 - x*$1/$0.50 = 18 - x*2
Then we just need to graph the two lines, and shade the region above the first one, and the region below the second one, the graph can be seen below:
Any point inside the double shaded region in the first quadrant is a possible solution. (we restrict only to the first quadrant because we can not use negative values for x nor for y).
Then a possible solution that we could choose is:
x = 2
y = 12
This means that she buys 2 peaches and 12 mangos.
If you want to learn more, you can read:
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(-12/45)+15/35-12/45+15/35 slove step vise
Answer:
[tex]\frac{35}{105}[/tex]
Step-by-step explanation:
Which expression is equivalent to
Square root of 80
Answer:
2nd answer
Step-by-step explanation:
B
Answer:
4 5sqared and 80^1/2
Step-by-step explanation:
Trophies for Gunther’s soccer team will cost $6.25 each, plus 15 cents for every word on the engraving. Which equation could be used to find the cost, c, of each trophy based on the number of words, w , on the engraving?
Select one:
c=6.25+0.15w
c=6.25−0.15w
c=6.25+15w
c=15+6.25w
Answer: c=6.25+0.15w
Step-by-step explanation:
D
А
A
10
ол |
3
сл| -
alw
Answer:
1/5 is the answer eeeeeeeeeeeeee
What is true about the domain of the following two graphs
Answer:
the domain for both graphs is infinity
Step-by-step explanation:
both graphs are absolute value graphs, which means there is an infinite amount of possible x values in positive and negative directions.
edit: actually, if there are no arrows of the ends of the graphs, then what i just said is not true. a possible answer if that's the case may be both graphs have domains that include negatives
HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!
Answer:
Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160
Step-by-step explanation:
Answer:
again sorry I do not know but I think it d because it not the same as the rest.
In 2010 there were 2000 American lions in a conservation park in Wisconsin. The lion population is decreasing
by 8% every year. Which of the following functions models the lion population after x years?
Step-by-step explanation:
After each year, the new population of the lions is 100% - 8% = 92% of the population of the lions the year before.
Hence our exponential base should be 0.92, indicating exponential decay. (A)
Answer:
after each year the new population of the lions
is 100% - 8% is equals to 92% of the population of the lion year before
Hence our exponential base should be 0.92 (A)
Original price of a sled: $99.50
Discount: 50%
Answer:
49.75
Step-by-step explanation:
1/2 (50%) of 99.50 is 49.75
In a certain chemical, the ratio of zinc to copper is 4 to 11. A jar of the chemical contains 418 grams of
copper. How many grams of zinc does it contain?
It contains
grams of zinc.
Answer:
Step-by-step explanation:
Zinc:copper = 4:11
Amount of zinc = 4x
Amount of copper = 11x
11x = 418
x = 38 grams
Amount of zinc = 4x = 152 grams
Solve for v. 9 2 V-2 > 6
Answer:
V>[tex]\frac{2}{23}[/tex]Step-by-step explanation: