Answer:
a) z-distribution is used, as we have the standard deviation for the population.
b) Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.
Step-by-step explanation:
a. To compute the confidence interval use a, z or t distribution?
We have the standard deviation for the population, and thus, the z-distribution is used.
b. With 90% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ______ and _______ .
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{4.08}{\sqrt{13}} = 1.86[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is [tex]\overline{x} - 1.86[/tex]
The upper end of the interval is the sample mean added to M. So it is [tex]\overline{x} + 1.86[/tex]
Between [tex]\overline{x} - 1.86[/tex] and [tex]\overline{x} + 1.86[/tex], in which [tex]\overline{x}[/tex] is the sample mean of tics per hour.
Determine the volume of the picture below.
Answer:
[tex] \frac{1}{2} \times (13 + 22) \times 13 \times 30 \\ 6825 \: {inch}^{3} [/tex]
Answer:
V = 6825in
Step-by-step explanation:
V = Ah
h = 30 in
A= 1/2(a+b)h = 1/2 ( 13+22)13
= 1/2(35)(13)(30)
= 35 x 13 x 15
= 6825in
Can i get some help hear
Answer:
Step-by-step explanation:
Since this is a assignment, I'll give a hint.
To find the area of a trapezoid, it'ls h(b1*b2)/2.
The height is how long the trapezoid is from each base.
The bases are the lines parralel to each other.
PLS HELP I WILL GIVE BRAINLIEST
Answer:
im pretty sure its -14
Step-by-step explanation
Answer:
s= -17/12
17/12
Step-by-step explanation:
-5s - 14 = 7s +3
−5−14=7+3
-5s-14=7s+3
−5s−14=7s+3
−5−14+14=7+3+14
−5=7+17
-5s=7s+17
−5s=7s+17
−5−7=7+17−7
[tex]s=-\frac{17}{12}[/tex]
PEASE HELP
Ethan puts $1200 into a Certificate of Deposit (CD) account that earns 2.1% interest each year. What will be the interest of the CD account earned after 5 years? Round to the nearest cent (hundredths place).
Answer:
$12,600
Step-by-step explanation:
So what i did was i multiplyed 2.1 and 5 then i took that answer and multiplyed that and rounded it ang got $12,600
i hope this is right
At the start of the day, Megan has the following items for sale:
60 Sandwiches £2.40
40 Baguettes a £2.70
25 Jacket potatoes £3.25
She sells all the jacket potatoes, 65% of the sandwiches and 85% of the
baguettes.
What is the total value of her sales that day?
Answer:
266.65
Step-by-step explanation:
65% of 60 = 39 sandwiches sold
85% of 40 = 34 baguettes sold
all Jacket potatoes sold 3.25 x 25
34 x 2.70
39 x 2.40
add the total and comes to 266.65
Please someone can help me...
Answer:
C
Step-by-step explanation:
Although I don't see the graph, I will assume it's a graph about the relationship between time and distance walked.
Here's the logic:
If you walk a longer time, your distance increases.
Let f(x) = 2x – 1 and g(x) = 3x
Find g(f(x))
Answer for brainlest
Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°
Step-by-step explanation:
[tex]angle \: 4 \: makes \: a \: c \: shape \: when \: refering \: it \: to \: angle \: 6 \: which \: is \: terefore \: a \: correspndin \: angle \: \\ \\ [/tex]
Marley has marbles of the same size and shape in a bag. There are 2 green, 5
blue, and 3 red marbles in the bag. Marley picks two marbles without looking.
What is the probability he will pick two red marbles?
a) 3/15
b)1/15
c) 3/50
d) 1/4
Answer:
B.) 1/15
Step-by-step explanation:
10 total marbles3/10 - 1/1 = 2/93/10 × 2/9 = 1/15Which is the value of 2.3 - (-2.3)?
Answer:4.6
Step-by-step explanation:2.3-(-2.3) is the same thing as 2.3+2.3 which is 4.6
Answer:
4.6
Step-by-step explanation:
X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14
9514 1404 393
Answer:
11
Step-by-step explanation:
4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11
or
4 × (2 3/4) = 4 × 11/4 = 11
LM is the midsegment of trapezoid RSXY. What is the length of RS?
Can somebody help me with this
convert 77 ft to yards
Answer:
25.6667
Step-by-step explanation:
Divide the length value by 3.
77 divided 3 =
25.6667
Answer:
Step-by-step explanation:
25.66 SQM
Find the value of x that makes m parallel n .
help me pls i’m stuck
Answer:
m=1
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
m=change in y / change in x
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]
There are 1,444 souvenir paperweights that need to be packed in boxes. Each box will hold 15 paperweights. How many boxes will be needed
Answer:96.267
Step-by-step explanation:
There are 1,444 paperweights and one box will hold 15 paperweights
So you will divide 1,444 by 15, which would give you 96.267
So you would need 96 boxes and an extra box, which won't be full holding 4 paper weights
ASAP pls ...............
Answer:
36%
Step-by-step explanation:
There are 25 muffins 9 are carrots so that would mean the equation would be 9/25. Since this is a percentage we would change 25 to 100 by multiplying by 4 and multiplying the top by 4 as well which will result in 36/100 or 36%.*hope this helps*
A cylinder has a base area of 28.2m2 and a height of 3.1 m. Estimate the volume of the cylinder.
Answer:
Base area by height
28.2*3.1=87.42cm3
PLEASE HELP DUE IN 2 HOURS AND EXPLAIN STEP BY STEP SO I CAN EASILY UNDERSTAND PLEASE
A landscaper needs to prepare 5 identical conical-shaped hanging planters by filling three-quarters of each planter with soil. If the diameter of each planter is 14 inches and the height is 28 inches, approximately how much soil is required for all the planters
Answer:
Amount of soil need = 5,331.255 inch³ (Approx.)
Step-by-step explanation:
Given;
Number of conical planters = 5
Volume used in each planter = 3/4
Diameter of planter = 14 inch
Height of planter = 28 inch
Find:
Amount of soil need
Computation:
Radius of planter = 14 /2
Radius of planter = 7 inch
Amount of soil need = [Number of conical planters][Volume used in each planter][Volume of each planter]
Amount of soil need = [5][3/4][(1/3)(π)(r²)(h)]
Amount of soil need = [5][0.75][(0.33)(3.14)(7²)(28)]
Amount of soil need = [5][0.75][(0.33)(3.14)(49)(28)]
Amount of soil need = [3.75][1,421.66]
Amount of soil need = 5,331.255 inch³ (Approx.)
To find out your balance on a savings account at a bank, which
measurements must be accurate? Check all that apply.
A. Interest rate
B. The number of times interest is calculated for your account
C. Number of customers at the bank per day
What is the answer to the equation 3 1/5 +n=9?
Answer:
n= 5 4/5
Step-by-step explanation:
3 1/5+5 4/5=9
an exponential function with a base of 3 that has been transformed from the parent by a vertical stretch by a factor of 4 and a reflection across the y-axis.
Answer:
idek bro
Step-by-step explanation:
i stink at this math
What is the length of the line? ILL MARK YOU BRAINLIEST PLS HELP
Answer:
D
Step-by-step explanation:
6^2 is 36 1^2 is 1. 36+1=37 sqrt 37
What is 36 1/2 of 146?
Answer:
This question is not worded well (textbook's fault, not yours) so there are two possible answers.
5329 or 1/4.
Step-by-step explanation:
If it means 146 36.5 times; then 36.5 • 146 = 5329 .
But if it means 36.5 out of (over) 146; then 36.5 ÷ 146 = 1/4 (aka 0.25)
A painter charges $15.05 per hour, plus an additional amount for the supplies. If he made $171.00 on a job where he worked 6 hours, how much did the supplies cost?
15.05x6= 90.3
171.00-90.3=80.7
If you have $100 and then lose $25 what is the percent change
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
The lost percentage is 25%
The percentage remaining is 75%
ThanksThanksHope it helpsA tube-feeding formula is administered to a patient via Gastrostomy at 75
ml/hr. The formula contains 6.5% protein. How much protein will the patient
receive in the entire day, if the feeding must be held (stopped) for 2 hours
before and 2 hours after the administration of Dilantin twice a day?
39
Answer:
97.5ml protein
Step-by-step explanation:
20hr * 75ml/hr = 1500ml
1500ml * .065 = 97.5ml protein
The patient will receive 78 ml protein in the entire day.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Tube feeding formula = 75 ml/hr
Protein content = 6.5% of 75 ml/hr = 0.065*75 ml/hr
⇒ Protein content = 4.875 ml/hr
Now since, the feeding must be held (stopped) for 2 hours before and 2 hours after the administration of Dilantin twice a day
So, Stoppage total hours = 2(2 + 2) = 2*4
⇒ Stoppage total hours = 8
Thus, total hours in a day when formula is feed = 24 - 8 = 16 hours
Thus Protein received by patient = 16hr * 4.875 ml/hr
⇒ Protein received by patient = 78 ml
Thus, the patient will receive 78 ml protein in the entire day.
To learn more about expressions :
brainly.com/question/11568837
#SPJ2
In a sightseeing boat near the base of the Horseshoe Falls at Niagara Falls, a
passenger estimates the angle of elevation to the top of the falls to be 30°.
If the Horseshoe Falls are 173 feet high, what is the distance from the boat
to the base of the falls?
Answer:
299.64 ft
Step-by-step explanation:
The diagrammatic representation of the problem has been attached below :
Applying trigonometry :
We use the relation :
Tanθ = opposite / Adjacent
Tan 30 = 173 / d
0.5773502 = 173 / d
0.5773502d = 173
d = 173 / 0.5773502
d = 299.64 ft
Five percent of all blue ray players manufactured by a large electronics company are defective. A quality control inspector randomly selects three players from the production line. What is the probability that exactly one of these three blue ray players is defective
Answer:
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
Step-by-step explanation:
For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Five percent of all blue ray players manufactured by a large electronics company are defective.
This means that [tex]p = 0.05[/tex]
A quality control inspector randomly selects three players from the production line.
This means that [tex]n = 3[/tex]
What is the probability that exactly one of these three blue ray players is defective?
This is P(X = 1). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.05)^{1}.(0.95)^{2} = 0.1354[/tex]
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.