Answer:
(1) Correct option (A).
(2) The probability that Aadi will get Tails is 0.40.
Step-by-step explanation:
The information provided is:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(T|E)=\frac{3}{10}=0.30[/tex]
[tex]P(T|S)=\frac{20}{50}=0.40[/tex]
Here,
P (T|E) implies the probability of tail in case of Eric's experiment.
P (T|S) implies the probability of tail in case of Sue's experiment.
(1)
Now, it is given that Aadi is going to throw the coin once.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the probability of Aadi getting Tails in a single toss.
As Sue uses a larger number of trials in the experiment, i.e. n = 50 > 30 times, according to the Central limit theorem, Sue's estimate is best because she throws it .
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Aadi will get Tails})=P(T|A)[/tex]
[tex]=P(T|S)\\\\=0.40[/tex]
Thus, the probability that Aadi will get Tails is 0.40.
Answer:
The correct answer is C and 23/60
Step-by-step explanation:
Sue's estimate is best because she throws it more times than Eric.
This is because the more you throw a coin the more reliable the results will be compared to data from a coin that has been thrown less, therefore the answer is C.
For the second half you need to add the number of tails together to get you numerator and then add the amount of times the coin was thrown to get your denominator, (giving you 23/60)
Hope this helped :)
what is the slope of the line shown below?
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (3, 9) ← 2 points on the line
m = [tex]\frac{9-3}{3-1}[/tex] = [tex]\frac{6}{2}[/tex] = 3 → C
Answer:
the answer is C
Step-by-step explanation:
you take 3,9 over 1,3... 3,9 so 9+ 3 over 3+ 1 it will look like a fraction 12/4 then
1, 3 you simply to get positive 3
James earns $1000 weekly base pay as a sales-person and gets a 10% commission on everything he sells. It is said that he sold $20,000 worth of merchandise last month, how much did he earn for the month? Provide an explanation :)) A. $4,000 B. $22,000 C. $6,000 D. $2,000
Answer:
Option C.
Step-by-step explanation:
It is given that James earns $1000 weekly base pay as a sales-person.
We know that, we have 4 weeks in a month. So, monthly salary of james is
Monthly income [tex]=\$1000\times 4=\$4,000[/tex]
It is said that he sold $20,000 worth of merchandise last month and he gets a 10% commission on everything he sells.
Commission [tex]=\$20,000\times \dfrac{10}{100}=\$2,000[/tex]
Total amount = Monthly income + Commission
[tex]=\$4,000+\$2,000[/tex]
[tex]=\$6,000[/tex]
Therefore, the correct option is C.
The number of 90° angles formed by the intersections of and the two parallel lines and is
.
Answer:
4.
Step-by-step explanation:
the diameter of a circle is 14in. Find its area in terms of pie(urgent)
The area of a circle is equal to:
[tex]\pi \times {r}^{2} [/tex]
r = 1/2 the diameter
1/2 of 14 is 7
7 squared is 49
The area is 49π
9. How many ounces of a 25% alcohol solution must be mixed with 5 ounces of a 30% alcohol solution to make a 26% alcohol
solution?
ounces
The amount of 25% alcohol solution is
(Type an integer or a decimal.)
Answer:
27 Oz of 25% alcohol
Step-by-step explanation:
--percent ---------------- quantity
Alcohol I 30 ---------------- 18 Oz
alcohol II 25 ---------------- x Oz
Mixture 27 ---------------- 18 + x Oz
30*18+25x=27(18+x)
540+25x =486+27 x
25x-27x =486+540
-2x=-54
/ -2
x = 27
27 Oz of 25% alcohol
4. analyze the diagram below and complete the instructions that follow. plss
Answer:
Option D. DE/DF
Step-by-step explanation:
The following data were obtained from the question:
Opposite = DE
Hypothenus = DF
Adjacent = EF
Sin θ =.?
From trigonometrical operations,
Sin θ = Opposite/Hypothenus.
With the above information, we can find Sin θ as follow:
Sin θ = Opposite/Hypothenus.
Sin θ = DE/DF.
Can someone help me please!!!
Answer:
65°
Step-by-step explanation:
180°-50°:130°
130°÷2:65°
130° divide by 2 because the shape was isosceles triangle
can someone help me with this pleaseee
Answer:
The real part is -1
Step-by-step explanation:
The real axis is the horizontal axis
The value on the horizontal axis is -1
I need help with the ye old math
Answer:
24 scoops
Step-by-step explanation:
Each scoop is 1/4 and each bird feeder needs 1 1/2. 6 scoops of 1/4 make one bird feeder and for 4 bird feeders you would need 24 scoops.
A man purchased 10 pens. He sold 5 pens at 25% profit and the remaining 5
pens at [tex]16 \frac{2}{3} [/tex]% loss. If he received Rs 625 in total, find the cost price of each pen.
help!!!
Answer:
Rs 60
Step-by-step explanation:
[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]
[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]
[tex]5x(1.25)+5x(5/6)=625[/tex]
[tex]10.416667x=625[/tex]
[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]
[tex]x=59.99999...[/tex]
[tex]x=60[/tex]
What is the value of x? answers: A) 90° B) 65° C) 50° D) 80°
Answer:
Please mark be brainliest and I hoped this helped!
x = 80°
Step-by-step explanation:
These are both isosceles triangles, so the top 2 angles are both 65°. The last angle of that triangle is 180° - (65° + 65°) which is 50°. Then, the opposite of that angle is in the next traingle. It is also 50°. So the 2 base angles are both 50°, so x is 180° - (50° + 50°) which is 80°.
The measure of angle 'x' is 65 degrees and this can be determined by using the properties of the isosceles triangle.
Given :
Angles --- [tex]65^\circ[/tex] and x
The following steps can be used in order to determine the measure of angle 'x':
Step 1 - Both the triangles are isosceles triangles because in both the triangles two sides are similar.
Step 2 - Let the upper triangle be ABC and the lower triangle be DBE.
Step 3 - The angle B of the triangles can be calculated as:
[tex]\angle A + \angle B + \angle C = 180[/tex]
[tex]65+65+\angle B = 180[/tex]
[tex]\angle B = 50^\circ[/tex]
Step 4 - Now, angle 'x' can be calculated as:
[tex]\begin{aligned}\\\angle D + \angle B + \angle E &= 180\\x+x + 50 &= 180\\2x &= 130\\x &= 65^\circ\\\end{aligned}[/tex]
The measure of angle 'x' is 65 degrees. Therefore, the correct option is B).
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Solve C = 2mr for r could not make the correct sign for m
Answer:
C = 2mr =
r=
m=
Step-by-step explanation:
Not sure if it's correct.
Factor a2 - 11a + 28.
A. (a + 4)(a +7)
B. (a - 4)(a - 7)
C. (a + 14)(a + 2)
D. (a - 14)(a - 2)
Answer:
B. [tex](a-4)(a-7)[/tex]
Step-by-step explanation:
a*a makes it a^2
-4*-7=28
-4a+-7a=-11a
what’s the solution of y=x-4 and y=1/3x
Answer:
(6, 2)
Step-by-step explanation:
Step 1: Use substitution
x - 4 = 1/3x
Step 2: Isolate x
2/3x = 4
x = 6
Step 3: Plug back into original equation(s)
y = 6 - 4
y = 2
Answer:
(6,2)
Step-by-step explanation:
Let's use the substitution method.
x-4=1/3x
3x-12=x
3x=x+12
2x=12
x=6
y=6-4
y=2
At a profit of 8% a shopkeeper sold a calculator for Rs 1,382.40. If he wants to increase his profit by 2%, at what price should he sell the calculator?
Answer:
Step-by-step explanation:
I need help please :)))
Answer:
[tex]\mathrm {7.1 \: inches}[/tex]
Step-by-step explanation:
Circumference of a circle is [tex]\pi d[/tex]
The diameter is [tex]2.25[/tex] inches as shown in the readings of the scale.
[tex]2.25\pi[/tex]
[tex]\approx 7.06858347058[/tex]
Find x in the given figure. answers: A) 120° B) 60° C) 72° D) 168°
Answer:
x =72
Step-by-step explanation:
120 = x+48 alternate interior angles are equal
Subtract 48 from each side
120-48 = x
72 =x
Choose the best reason for using the median as the measure of central tendency.
a. When you have a lot of fractions and decimals
b. When you want to find the average
c. When the sample size is large and includes outliers
d.When the sample size is large and does not include outliers
Answer:
The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.
Answer:
C. When the sample size is large and includes outliers.
Step-by-step explanation:
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What is the value of z in the equation 2(4z − 5 − 3) = 166 − 46?
A.15
B. 17
C.30
D.32
Answer:
17Option B is the correct option.
Solution,
[tex]2(4z - 5 - 3) = 166 - 46 \\ or \: 8z - 10 - 6 = 120 \\ or \: 8z - 16 = 120 \\ or \: 8z = 120 + 16 \\ or \: 8z = 136 \\ or \: z = \frac{136}{8} \\ z = 17[/tex]
Hope this helps
Answer:
17 is the correct answer
Step-by-step explanation:
2(2×17-5-3)=166-46
2×60=120
120=120
Hence,
z=17
The number of cards in a deck of playing cards is numbered in the tens.
O A. True
B. False
Bud's cheeseburger and fries contained 1310 milligrams and 350 milligrams of sodium, respectively. Together they contained 66.4% of the recommended daily intake of sodium for
diet. What is the daily recommended intake of sodium for a 2,000 calorie diet?
Answer:
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Step-by-step explanation:
In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.
[tex]\text{total sodium} = 1310 + 350 = 1660 \text{ mg}[/tex]
We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:
[tex]\frac{1660}{x} \frac{mg}{mg} = \frac{66.4\%}{100\%}[/tex]
[tex]66.4*x = 1660*100\\x = \frac{166000}{66.4} = 2500 \text{ mg}[/tex]
The recommended daily intake of sodium for a 2000 calorie diet is 2500 mg.
Answer:
2,500 mg
1,310 + 350 = 1,660
1,660 is 66.4% of 2,500
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
Complete question:
Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?
A. likely
B. certain
C.unlikely
D.impossible
Answer:
C. unlikely
Step-by-step explanation:
If the probability that Sarah will score a point on her next turn is 1 which is 100%, then it will be certain that she will score a point on her next turn.
Again, If the probability that Sarah will score a point on her next turn is ¹/₂ which is 50%, then it will be likely that she will score a point on her next turn.
Also, If the probability that Sarah will score a point on her next turn is ¹/₃ which is 33%, then it will be unlikely that she will score a point on her next turn.
Furthermore, If the probability that Sarah will score a point on her next turn is 0 which is 0%, then it will be impossible that she will score a point on her next turn.
Thus, the correct statement for the given question is "unlikely"
what are the steps and answer
Answer:
Trust me it’s I disagree
Step-by-step explanation:
So you have to use the Pythagorean Theorum which is [tex]a^2+b^2=c^2[/tex] and in this case a is 70 and b is 40.
So if we plug those numbers in we have to square a and b and add them which is 6,500 and to find c we have to find the square root of 6500 which is about 80 so lines PR and QR are different
Answer:
It's I disagree
Step-by-step explanation:
Solve x/2 + y/3 = 1 for x
Answer:
[tex]x[/tex] = - [tex]\frac{2y}{3}[/tex] + 2
Step-by-step explanation:
Solve for [tex]x[/tex] by simplifying both sides of the equation , isolating the variable.
Hope this helped you, Also please let me know if anything is unclear or wrong!
Answer:
Step-by-step explanation:
Translate the following into an expression: m% of n
Answer:
n(m%)
Step-by-step explanation:
By Translate the following into an expression: m% of n. Thus, the expression is 0.01mn.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We have to Translate the following into an expression:
m% of n
m x 1/100 x n = 0.01mn
Thus, the expression is 0.01mn.
Learn more about simplification;
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For the equations given below, which statement is true?
-21 = 14
6.1 = -42
A. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -3.
B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by 3.
C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first
equation by -4.
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value.
Answer:
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
Step-by-step explanation:
-21=14 Equ(1)
6.1=-42 Equ(2)
Multiplying the first equation by -3 will give
-63= -42
Which is not equivalent to the second equation
Multiplying the first equation by 3, we have
-63=42
Not equivalent to the second equation
Multiplying both sides of the first equation by -4, we have
84=56
Not equivalent to the second equation
D. The equations do not have the same solution because the second eqlition can never be obtained when multiplying the first
equation by any value
. Determine whether the forces in the pair are pulling at right angles to each other. For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other. 13 lb, 35 lb, resultant force 30 lb no; 20 lb, 15 lb, resultant force 25 lb yes 13 lb, 35 lb, resultant force 30 lb yes; 20 lb, 15 lb, resultant force 25 lb yes 13 lb, 35 lb, resultant force 30 lb yes; 20 lb, 15 lb, resultant force 25 lb no 13 lb, 35 lb, resultant force 30 lb no; 20 lb, 15 lb, resultant force 25 lb no
Answer:
13lb
Step-by-step explanation:
5) A recipe for cookies calls for 2 cups of milk for 3 cups of Flour. You decide that you want to make more cookies than the recipe calls for. You have enough to use 9 cups of flour. How many cups of milk is needed if you use 9 cups of flour?
Answer: If you want to make more cookies then what is called for in this situation then you would need 6 cups of milk.
Step-by-step explanation: You have 2 cups of milk and 3 cups of flour of course. In order to make a complete batch you need 2 cups of milk and 3 cups of flour. In order to make a second batch you need the same things as you did for the first batch. Therefore two batches of cookies requires 4 cups of milk and 6 cups of flour. In this situation you want to make 3 batches of cookies. The required items are 6 cups of milk and 9 cups of flour.
A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship. Gas Mileage Distance Traveled (miles) Gasoline Used (gallons) 22 1 44 2 x 3 88 4 Which equation correctly shows a pair of equivalent ratios that can be used to find the unknown? StartFraction 1 over 22 EndFraction = StartFraction x over 2 EndFraction StartFraction 22 over 1 EndFraction = StartFraction x over 2 EndFraction StartFraction 1 over 22 EndFraction = StartFraction x over 3 EndFraction StartFraction 22 over 1 EndFraction = StartFraction x over 3 EndFraction
Answer: The answer is the second one/b.
Answer:
D. 22/1=x/3
Step-by-step explanation:
Well what you multiply by the top you must do the bottom and opposite way also goes, sometimes so to get three as shown in (x/3) you must use the 1 from (22/1) times something to equal 3. In this it would be 1*3=3 so I multiplied three to the bottom and what I do the the bottom I haft to do to the top so 22*3=x and x is equal to 66 witch makes (D. 22/1=x/3) the correct option. If you want or need to check a good way to is to use a calculator to multiply 22*3 just as a small check up.
A= 47 sq. in.
Find the value of x. If necessary, round to the nearest tenth.
Answer:
x = 9.7
Step-by-step explanation:
The area of a triangle is A = b * h / 2 where A, b, and h are the area, base and height respectively. We know that A, b, and h equal 47, x, and x respectively so we can write:
47 = x * x / 2
47 = x² / 2
94 = x²
x = ±√94
In context, x can't be negative so the answer is x = √94 = 9.7.
Answer:
9.70 inches
Step-by-step explanation:
Area of a triangle is equal to base times height divided by 2.
[tex]bh/2[/tex]
Base and height is x.
[tex]xx/2=47[/tex]
Solve for x.
[tex]x^2=47 \times 2[/tex]
[tex]x^2=94[/tex]
[tex]x=\sqrt{94}[/tex]
[tex]x=9.69536[/tex]