Answer:
The answer is "[tex]0.34 \pm 0.060[/tex]".
Step-by-step explanation:
Point estimate = Sample proportion [tex]= \frac{102}{300}= 0.34[/tex]
For [tex]95\%[/tex] confidence, [tex]z = 1.96[/tex]
Hence,
Margin of error[tex]= 1.96 \times \sqrt{0.34\times \frac{0.84}{300}}=1.96 \times 0.0308 = 0.060[/tex]
Therefore,
Confidence interval in the tri-equality form:
[tex]\to 0.34 - 0.060 < p < 0.34 + 0.060\\\\\to 0.28 < p < 0.4[/tex]
Confidence interval using point estimate and margin of error:
[tex]p = 0.34 \pm 0.060[/tex]
A 20kg patient requires a 500 mg dose of a particular drug solution contains 100 mg/tsp. How many milliliters of the solution should be given to the patient to deliver the required dose?
Answer:
The answer is "25 ml".
Step-by-step explanation:
Dose[tex]= 500 \ mg\\\\[/tex]
Solution [tex]= 100\ \frac{mg}{teaspoonful}\\\\[/tex]
Calculating the Conversions:
Teaspoonful [tex]= 5 \ ml \ \text{(Ounce = 30 ml = 6 Tablespoonsful)}[/tex]
[tex]\therefore\\\\Solution = \frac{100\ mg}{ 5\ ml} = 20\ \frac{mg}{ml}\\\\Dose \ volume = \frac{500\ mg}{ 20\ \frac{mg}{ml}} = 25\ ml[/tex]
In a right angle triangle ABC angle B=90⁰ and AB+BC= 31cm AB-BC=17 cm the find sinA,cosA,sinC,cosC.
Answer:
see explanation
Step-by-step explanation:
Given
AB + BC = 31
AB - BC = 17
Add the 2 equations
2AB = 48 ( divide both sides by 2 )
AB = 24
Substitute AB = 24 into the first equation
24 + BC = 31 ( subtract 24 from both sides )
BC = 7
Using Pythagoras' identity to find the hypotenuse AC
AC² = AB² + BC² = 24² + 7² = 576 + 49 = 625 ( take square root of both sides )
AC = [tex]\sqrt{625}[/tex] = 25
Then
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]
sinC = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]
cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]
Determine the coefficient of x^3 in the expansion of (1 – x)^5(1 + 1/x)^5
Notice that
(1 - x)⁵ (1 + 1/x)⁵ = ((1 - x) (1 + 1/x))⁵ = (1 - x + 1/x - 1)⁵ = (1/x - x)⁵
Recall the binomial theorem:
[tex]\displaystyle(a+b)^n = \sum_{k=0}^n\binom nk a^{n-k}b^k[/tex]
Let a = 1/x, b = -x, and n = 5. Then
[tex]\displaystyle\left(\frac1x-x\right)^5 = \sum_{k=0}^5\binom5k\left(\frac1x\right)^{5-k}(-x)^k = \sum_{k=0}^5 (-1)^k\binom5k x^{2k-5}[/tex]
We get an x ³ term for
2k - 5 = 3 ==> 2k = 8 ==> k = 4
so that the coefficient would be
[tex](-1)^4\dbinom54 = \boxed{5}[/tex]
If 7 beans were on your plate, and you took away 2 bananas, how many apples are left?
Answer:
4 tacos
Step-by-step explanation:
according to the converse of triangle proportionality theorem, 7 beans is equivalent to 5 bananas, so if we took 2 away we would be left with 4 tacos, not apples because an apple a day keeps the doctor away and we are in a pandemic right now
find the missing side.
Answer:
I htink x ≈ 8
Step-by-step explanation:
Answer:
X is approximately 7.8.
Step-by-step explanation:
You can use SOH-CAH-TOA to help figure out what function (sin, cos, tan) you need to use in order to figure out the missing side.
For this one, we can see the angle is pointing to the opposite side (x length), and we have been given the hypotenuse (18). So we want to use the sin function.
[tex]sin\ (angle)=\frac{opposite}{hypotenouse}[/tex]
[tex]sin (26)=\frac{x}{18}[/tex]
[tex]0.438=\frac{x}{18}[/tex]
[tex]7.890... = x[/tex]
Using Pythagorean theorm, you can figure out the other side if need be :)
For reference:
[tex]sin (angle)=\frac{opposite}{hypotenuse}[/tex]
[tex]cos(angle)=\frac{adjacent}{hypotenuse}[/tex]
[tex]tan(angle)=\frac{opposite}{adjacent}[/tex]
A tank is capable of holding 36,18 and 72 litres of milk . Determine which is the greatest vessel which can be uses to fill each one of them on exact number of times
Answer:
Greatest vessel to fill each in exact number of times is 6 litres
Step-by-step explanation:
To solve this, we will find the greatest common factor of 36,18 and 72
Thus;
Their prime factors are;
18: 2, 3
36: 2, 2, 3, 3,
72: 2, 2, 2, 3, 3
The factors common to all of them are 2 & 3.
Thus;
GCF = 2 × 3 = 6
solve the system of inequalities x>17, x>12
What is the sum of the greatest number and least number formed by the digits 4,7,0and 9
Answer:
13819
Step-by-step explanation:
The biggest number is :9740
The smallest number is :4079
Sum means addition so...
9470 + 4079 = 13819
TAKE YOUR TIME!!!! 75 POINTS!!!
Explain how data is transmitted over the internet. Make reference to the terms TCP/IP and why this system is needed.
Use this scaffold to help you write your response:
1. Identify and define the different components that is required to transmit data on the internet (e.g. TCP/IP/Computer)
2. Describe what each of these do
3. Explain how they work together to transmit data
4. Explain why each one is important in the system
5. Can you support your explanation with an example?
Answer:
TCP/IP stands for Transmission Control Protocol/Internet Protocol and is a set of protocols used to interconnect/connect network devices on the internet. think of it as a set of rules that kind of tell how the network works/ or should work, and what boundaries there are.
TCP/IP specifies how data is exchanged, via the internet. It basically provides communications that identify how/what packets the data should be distributed in, as well as, addressed, transmitted, and received at the destination.
TCP/IP requires a central management so it is capable of making networks reliable, and the added ability of recovering info/data automatically from any failure on any device on the network chain.
TCP also defines how applications can create access and channels of communication across a certain or any network. Like I mentioned before, it manages how a message (a message can be any type of data that is being sent from one user to another, or and pieces of data that are being transmitted to and through various areas) is assembled into smaller packets before they travel across the internet and reassemble in the right order once reached at the destination address.
IP defines how to address and route each packet to make sure it reaches, said, destination. Each gateway computer on the network checks the IP address to determine where to forward the message.
bonus :
ASCII:
it is the American Standard Code for Information Interchange and is pronounced as (ask-ee).
This is a special code all machines use to receive and deliver data.
This standardized code will allow computers to translate data in the form of special characters.
Because ASCII is a standardized code for all computers, it's easier for them to share information this way without losing data in the translation.
*think about an iPhone sending a message to an Android. two different softwares, so how can messages be sent in the correct order and without any data being lost?
how many line of symmetry is this figure
Answer:
There are sixteen lines.
what is the volume of the cylinder
I think the answer is C
I'm not sure
17. Write an equation in slope-intercept form for the line that passes through (0,6) and
is parallel to the line described by y = 2x +3.
Answer:
y = 2x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
The line passes through (0, 6 ) ⇒ c = 6
y = 2x + 6 ← equation of parallel line
Name the property shown by the statement a + (b + 2) = (a + b) + 2
Answer:
The associative property
Step-by-step explanation:
In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:
[tex]x^n=b[/tex] [tex]\sqrt[n]{b}=x[/tex]
[tex]a*b[/tex] [tex]a[/tex] ÷ [tex]b[/tex]
[tex]a+b[/tex] [tex]a-b[/tex]
i would like if someone helped me with this.
Answer:
the answer is to the question is b
Answer:
(-1.5,9)
Step-by-step explanation:
In second quadrant the x- component is negative where as y- component is positive
SOMEONE HELP ME PLEASE
which of the following are remote interior angles of 5 ?
Answer:
The answer is B and C.
Answer: B AND C
Step-by-step explanation:
Remote interior angles are angles that are opposite from the exterior angles (5 in this case).
Trousers are sold at $40. During a clearance sale, the trousers are sold for $30. What is the markdown rate?
A.20%
B.25%
C.30%
D.33%
Answer:
25%
Step-by-step explanation:
40-30=10
10/40*100
25%
need help pleaseee!!!
Answer:
it should be the third option
Step-by-step explanation:
I hope this help
What the equation for the slope intersection for the graph tue picture that showing ?
Answer:
Y = -5X +-1
Step-by-step explanation:
x1 y1 x2 y2
-1 4 1 -6
(Y2-Y1) (-6)-(4)= -10 ΔY -10
(X2-X1) (1)-(-1)= 2 ΔX 2
slope= -5
B= -1
Y =-5X +-1
a two-digit number is 5 times as large as the sum of its digits. What number is it?
Answer:
45
Step-by-step explanation:
CHECK ANSWER:
45 *5 = 225
45+5 = 50
50 < 225
sum < times
I hope this helped !
Write each fraction as a decimal. Use bar notation if necessary.
1. 8/9 2. -2/5. 3. 7/11
Answer:
rgre5ydytye453efdfe45fgs4terwt
Step-by-step explanation:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbvbcn
Answer:1. 0.889, 2. −0.4, 3. 0.636 (i rounded the answers to the nearest thousandths)
Step-by-step explanation: the thing is when you are changing them from fraction to decimal you use long division for example
let us say the fraction is a half.
we put the numerator inside and the denominator outside.
so in this case 2 is outside and 1 is inside.
(forgive my drawing)
So after the zero we put a point if it is any number we still put a point after the first division answer.
We also put a zero next to 1 even though it is any other number a the answer on top we still put a zero if the number is over like in this case.
so 10 divide by 2 is 5 we put it on top.
Since we got an answer with no reminder our answer is 0.5.
Which expressions
are
equivalent to -6+4q+(-6q)?
Choose all answers that apply:
–6(q + 1) — 42
2(q -3)
None of the above
Answer:
None of the Above are correct
A car salesman claims that the variance of prices on convertibles is higher than the variance on station wagons. To test this claim, he selects random samples of each type of car, and records the prices. The standard deviation of 16 convertibles is $6800 and the standard deviation of 24 station wagons is $3900. For , what is the p-value? Group of answer choices
Answer:
Hence the critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.
Step-by-step explanation:
Hypotheses are:
[tex]H_{0}:\sigma_{1}^{2}=\sigma_{2}^{2}\\H_{a}:\sigma_{1}^{2}>\sigma_{2}^{2}[/tex]
Here we have s_{1}=6800 and s_{2}=3900. Here we will use F -test. The Value of test statistics is
[tex]F=\frac{s_{1}^{2}}{s_{2}^{2}}\\\\F=\frac{6800^{2}}{3900^{2}}\\\\F=3.0401[/tex]
Here the degree of freedom of the numerator is [tex]df_{1}=n_{1}-1=16-1=15[/tex] and The degree of the denominator is
[tex]df_{2}=n_{2}-1 \\\\=24-1=23 .[/tex]
The critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.
Answer:
Step-by-step explanation:
Help is needed here…
Answer: 2(−5x^2 +9)(5x^2 +9)
Step-by-step explanation:
Given: 162-50x^4
Factor out 2: 2(81-25x^4)
Rewrite: 2(9^2-(5x^2)^2)
Use difference of squares: 2(9-5x^2)(9+5x^2)
Reorder (if you need to) 2(-5x^2+9)(5x^2+9)
Answer:
6(27 - 8x^4)
Step-by-step explanation:
162 - 50x^4 /2
2(81 - 24x^4) /3
6(27 - 8x^4)
Which is a desirable characteristic when choosing a line of credit?
a. rewards program
b. annual fee
c. amount of down payment
d. amount of collateral
Answer:
Rewards program
Step-by-step explanation:
A line of credit is a predetermined quantity of money that somehow a bank lends to a person and is issued by a financial company. Reward programme: Reward program's internet shopping centre goods were exchanged and point can redeem for items using Reward program's internet shopping mall points.
Answer:
A. rewards
Step-by-step explanation:
Which of the following is equivalent to (16^3/2)^1/2
Answer:
8
Step-by-step explanation:
(16^3/2)^1/2
We know a^b^c = a^(b*c)
16 ^(3/2*1/2)
16 ^3/4
Rewriting 16 as 2^4
2^4^3/4
2^(4*3/4)
2^3
8
2/4+1=1/6 x-7 what is the value of x in this epuation
Two more than three times a number is 18.
Let the number be x
ATQ
[tex]\\ \sf\longmapsto 3x+2=18[/tex]
Take 2 to right side[tex]\\ \sf\longmapsto 3x=18-2[/tex]
[tex]\\ \sf\longmapsto 3x=16[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{16}{3}[/tex]
[tex]\\ \sf\longmapsto x=5.3[/tex]
[tex]\\ \sf\longmapsto x\approx 5[/tex]
A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the probability that both will be orange
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
Simplify
Rewrite the expression in the form 9^n
(9^2)^5
Answer:
9^10
Step-by-step explanation:
(a^b)^c = a^(b×c)
hihi
