Answer:
16
Step-by-step explanation:
Solve for x2= 9/49. Show your step-by-step.
Answer:
x = [tex]\frac{3}{7}[/tex], x = [tex]\frac{-3}{7}[/tex]
Step-by-step explanation:
The first step is to get rid of the square on the x, and to get rid of it, you square root both sides of the equation, like so:
[tex]x^{2} = \frac{9}{49}[/tex]
[tex]\sqrt{x^2} = \sqrt{\frac{9}{49} }[/tex]
A perfect square is when a number has two factors that are identical to one another. In this case, 9 and 49 are both perfect squares, meaning we can break them down:
The square root of 9 is 3. (3 · 3 = 9)
The square root of 49 is 7. (7 · 7 = 49)
x = [tex]\frac{3}{7}[/tex]
The answer is also x = [tex]\frac{-3}{7}[/tex] because a negative · a negative = a positive.
Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:
Opinion A: Improving the healthcare system is more important than improving the education system.
Opinion B: Improving the education system is more important than improving the healthcare system.
Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."
The outcomes were as follows:
39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."
Part A: Create and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)
Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points)
Answer:
A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B
= (0.51, 0.57)
This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)
B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.
Critical value = 2.33
Standard error = σₓ = √[p(1-p)/n]
p = sample proportion = 0.54
n = sample size = 1500
σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287
98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.54 ± (2.33 × 0.01287)
CI = 0.54 ± 0.02998)
98% CI = (0.51, 0.57)
98% Confidence interval = (0.51, 0.57)
B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?
For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;
- The sample data must have been obtained using a random sampling technique.
- The sampling distribution must be normal or approximately normal.
- The variables of the sample data must be independent of each other.
On the second point, the condition for a binomial distribution to approximate a normal distribution is that
np ≥ 10
and n(1-p) ≥ 10
The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.
For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Hope this Helps!!!
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =
Answer: x = - 3.5
Step-by-step explanation:
Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
Completing the square method :
Divide through by the Coefficient of x^2
x^2 + 7x + (49/4) = 0
a = 1, b = 7, c = 49/4
Move c to the right side of the equation
x^2 + 7x = - 49/4
Complete the square on the left hand side by squaring its half of the x term
(7/2)^2 = (49/4)
Add the output to both sides of the equation
x^2 + 7x + (49/4) = - (49/4) + (49/4)
(x + 7/2)^2 = 0
Square root of both sides
x + 7/2 = 0
x = - 7/2
x = - 3.5
Answer:
x = - 3.5
Step-by-step explanation:
Brianna and Ava go to the movie theater and purchase refreshments for their friends. Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations, determine and state the price of a drink, to the nearest cent.
Answer:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Price of one drink is $9.25
Step-by-step explanation:
Let the price of a bag of popcorn be p.
Let the price of a drink be d.
Brianna spends a total of $39.00 on 2 bags of popcorn and 2 drinks. This implies that:
2p + 2d = 39 ____________(1)
Ava spends a total of $174.50 on 8 bags of popcorn and 10 drinks. This implies that:
8p + 10d = 174.50 _________(2)
We now have two system of equations which we can use to find the price of a bag of popcorn and drink:
2p + 2d = 39 ____________(1)
8p + 10d = 174.50 _________(2)
Multiply (1) by 4 subtract from (2):
8p + 10d = 174.50 _______(2)
- 8p + 8d = 156 __________(1)
2d = 18.50
=> d = $9.25
The price of one drink is $9.25
write an expression for the perimeter of the rectangle given 3x+4 and 2x-3
Answer:
2(3x+4) + 2(2x-3)
Step-by-step explanation:
this is because to be able to find the perimeter you use the formula 2(l) + 2(w)
The expression for the perimeter of the rectangle is 10x + 2.
What is the expression for the perimeter of the rectangle?Given the sides of the rectangle:
Length = 3x+4
Width = 2x-3
To determine the expression for the perimeter of the rectangle, we need to consider that the perimeter of a rectangle is given by the sum of all its sides.
The expression for the perimeter (P) is calculated as follows:
Perimeter = 2(Length + Width)
Plug these values into the perimeter formula:
P = 2(3x+4 + 2x-3)
Now, let's simplify the expression:
P = 2(5x + 1)
Finally, we can further simplify it:
P = 10x + 2
Therefore, the perimeter is 10x + 2.
Learn about area of rectangle here: brainly.com/question/12019874
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Simplify the radicals in the given expression:
8^3√a^4b^3c^2-14ab^3√ac^2
8ab√ac^2-14ab^3ac^2
8a^2ba^3√b-14abc^3a
8ab^3ac^2-14ab^3√ac^2
8a^2bc√b-14abc√a
i've gotten the answer it is "8ab^3ac^2-14ab^3√ac^2"
Answer: it’s option c
Step-by-step explanation:
Simplified form of radical 8∛(a⁴b³c²)-14b∛(ac^(2)) is -6ab∛ac².
What is radical?
The symbol '√' that expresses a root of a number is known as radical and is read as x radical n or nth root of x. The horizontal line covering the number is called the vinculum and the number under it is called the radicand. The number n written before the radical is called the index or degree.
Given radical
8∛(a⁴b³c²)-14b∛(ac^(2))
Rewriting a⁴b³c² as (ab)³ ac²
8∛((ab)³ac²)-14b∛(ac²)
8ab∛ac² - 14b∛ac²
-6ab∛ac².
Hence, -6ab∛ac² is the simplified form of 8∛(a⁴b³c²)-14b∛(ac^(2)).
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Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x
Answer:Assuming all three, we shall find that each of the relations in 3:14 leads to a ... Then by 3:15 the relations AD//BC and AB||DE imply AD//CE, which excludes ... From 2:72, 3:11, 3:14, and 3:16 we deduce 3:19 If A, B, C are three distinct ... a point D lies between X and Y in AB/C if it belongs to XY/C, that is, if XY||CD
Step-by-step explanation:
help plssssssssssssssssss
Answer:
80
Step-by-step explanation:
BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE
BRAINLEST PLEASEThe measure of a straight angle (2x+50) (6x+2)
Answer:
see below
Step-by-step explanation:
If the two angles form a straight angle, their sum is 180
2x+50 + 6x+2 = 180
Combine like terms
8x +52 = 180
Subtract 52 from each side
8x+52-52 = 180-52
8x =128
divide each side by 8
8x/8 = 128/8
x =16
2x+50 = 2(16)+50 = 32+50 = 82
6x+2 = 6(16)+2 =96+2 = 98
John weighs 1.5 times as much as Ellen. If John weighs 144 pounds how much does Ellen weigh?
Answer:
Ellen weighs 96 lbs
Step-by-step explanation:
Look at the attachment
Answer:
It could be wrong but i got 96lbs
Step-by-step explanation:
144 divided by 1.5
There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
Answer:
c
Step-by-step explanation:
The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Given:
The number of violet balls is 2.
The number of pink balls is 4.
To find:
The probability of getting violet first and pink next, if the first ball drawn is replaced.
Explanation:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Total number of balls is:
[tex]2+4=6[/tex]
The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].
The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].
The probability of getting violet first and pink next, if the first ball drawn is replaced is:
[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]
[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]
[tex]P=\dfrac{2}{9}[/tex]
Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Learn more:
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Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 27 bags of leaves. How much money did he earn?
Answer:
$54 : 27 bags
Step-by-step explanation:
its to much to explain
i got my math wrong
A bag contains 20 brown, 16 orange, 4 navy, and 13 purple marbles. A marble is drawn at random. What is the theoretical probability of drawing a brown marble?
20/53 chance or 0.38 probability.
what’s a negative about plus a positive
Answer:
Step-by-step explanation:
when adding a negative plus a positive, count forward the amount you're adding from the negative number. Like -5+2, -5--> -4--> -3
Find two numbers, if their sum is 49 and their difference is 1/2 .
Answer:
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
Step-by-step explanation:
Let the two numbers be x and y
So we have:
[tex]x +y = 49\\x-y=\frac{1}{2}[/tex]
using the elimination method, add the two equations together:
[tex]2x=49\frac{1}{2} \\2x=\frac{99}{2}[/tex]
solve for x:
[tex]x=\frac{99}{4}\\x=24\frac{3}{4}[/tex]
substitute our value for x back into the first equation we made:
[tex]x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}[/tex]
therefore,
[tex]x=24\frac{3}{4}\\ y=24\frac{1}{4}[/tex]
Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is needed for 1 cup of sugar?
If you want I will give BRAINLIEST >_
Answer:
5 cups
Step-by-step explanation:
To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups
Answer:
14 cups of flour are needed for 1 cup of sugar.
Step-by-step explanation:
Use a ratio.
cups of flour : cups of sugar
1 3/4 : 1/8
? : 1
We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.
1 3/4 * 8 = 14
Therefore, 14 cups of flour are needed for 1 cup of sugar.
Tell me if this was helpful:)
Neil goes to the pet shop and selects a treat for his dog. He chooses one, then chooses another. What is the probability Neil selects a bone and then a ball? There are 3 collars, 4 bones, and 5 balls.
Answer:
15.15% probability that Neil selects a bone and then a ball
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Initially, there are 3+4+5 = 12 treats. 4 of those are bones. So the probability of selecting a bone is 4/12 = 1/3.
Now suppose a bone has been selected. Now there are 11 treats, 5 of which are balls. So the probability of selecting a ball in this situation is 5/11.
What is the probability Neil selects a bone and then a ball?
[tex]p = \frac{1}{3}*\frac{5}{11} = \frac{5}{33} = 0.1515[/tex]
15.15% probability that Neil selects a bone and then a ball
Determine the measure of the named angle below.
mZK
K
40°
Step-by-step explanation:
Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u
What is the rate of change
Answer:
Slope = 0
Step-by-step explanation:
Let's use the equation [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this problem.
We have two points: (2,0) and (-2, 0)
Let's plug them both into the equation shown above.
[tex]\frac{0 - 0}{-2 - 2}[/tex]
Solve.
0 - 0 = 0
-2 - 2 = -4
[tex]\frac{0}{-4}[/tex] = [tex]-\frac{0}{4}[/tex] = 0
A zero in the numerator means this equation has a slope of 0.
Any line with a slope of 0 is a horizontal line.
Slope (rate of change) = 0
The two-way table represents the results of a random survey taken to determine the preferred vehicle for male and female drivers. Given that the participant is a female, which choice is the conditional relative frequency that she prefers an SUV?
Answer: 0.75
Step-by-step explanation: just had the question on usa tp
What is the simplified form of - picture
Answer:
the answer and explanation are In the picture
hope this helps
please like and Mark as brainliest
Which formula(s) can be used to find the nth partial sum of a geometric sequence or the sum of the first n terms of a geometric series?
Step-by-step explanation:
An=A1. R raised to the power n-1
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
The boats will meet in 3.33 hours.
Step-by-step explanation:
The position of each boat can be modeled by a first order equation.
I am going to say that the first boat is at the position 0, and moving in the positive direction with a speed of 3 miles per hour. So
[tex]A(t) = 0 + 3t[/tex]
They are moving in oppositie directions, and initially are 30 miles apart. This means that the second boat starts at the position 30, and moves in the negative direction at the rate of 6 miles an hour. So
[tex]B(t) = 30 - 6t[/tex]
How soon will the boats meet?
This is t when:
[tex]A(t) = B(t)[/tex]
[tex]3t = 30 - 6t[/tex]
[tex]9t = 30[/tex]
[tex]t = \frac{30}{9}[/tex]
[tex]t = 3.33[/tex]
The boats will meet in 3.33 hours.
The algebraic expression below is a polynomial.
(x-1^k)
where k is a real number.
Please select the best answer from the choices provided
T
F
Answer:
T
Step-by-step explanation:
Just did it
Take a number from 2 to 9
Double it
Again double it
Add the number you took
first to the answer
Now again double it
Divide by 10 what did you got
ans below which no. did you took and what did you get the ans
Answer:
7
Step-by-step explanation:
It worked my number was 7.
7*2=14
14*2=24
24+7=35
35*2=70
70/10=7
7!!!
Pretty please for a homie
Consider circle Y with radius 3 m and central angle XYZ measuring 70°.
Circle Y is shown. Line segments Y Z and Y X are radii with lengths of 3 meters. Angle Z Y X is 70 degrees.
What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
1.8 meters
3.7 meters
15.2 meters
18.8 meters
Answer:
3.7
Step-by-step explanation:
The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters
How to calculate the length of an arcThe length of an arc is expressed as:
L = r theta
Given the following parameters
r = 3m
theta = 70 degrees = 70π/180
L = 3(70π/180)
L = 3.7 metres
Hence the lenght of an arc is 3.7meters
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What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3
Answer:
A. 144 units³
Step-by-step explanation:
Volume of prism= 1/2×height× base × length
Height= 3
Base= 8
Length= 12
Lets put all of these together
1/2×3 × 8 × 12
1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³
Which points are Coplanar and noncollinear. ?
Answer:
Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.
Step-by-step explanation:
Solve for x. 2/5 (x − 17) = 26 x=
Answer:
x =82
Step-by-step explanation:
2/5 (x − 17) = 26
Multiply each side by 5/2
5/2 *2/5 (x − 17) = 26*5/2
x-17 =65
Add 17 to each side
x-17+17 = 65+17
x =82
Answer:
Step-by-step explanation:
u got to just learn how to do it
