Answers
Answer:
x=58 degrees
Step-by-step explanation:
The angle is a right angle (90 degrees)
90-32=58
Answer:
58 degrees.
Step-by-step explanation:
This is because a right angle is 90 degrees and there's already 32 degrees of it "taken up." 90 - 32 = 58.
Related Questions
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)
Answers
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!!!
Multiply.
(x + 5)(2x - 6)
A) 2x2 - 30
B) 2x2 - 6x
C) 2x2 + 7x - 6
D) 2x2 + 4x - 30
Answers
Answer:
D) 2x² + 4x - 30
Step-by-step explanation:
Follow the FOIL method:
FOIL =
First
Outside
Inside
Last
...and is the order you multiply to solve:
(x + 5)(2x - 6) =
(x)(2x) = 2x²
(x)(-6) = -6x
(5)(2x) = 10x
(5)(-6) = -30
Combine like terms. Simplify:
2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30
2x² + 4x - 30 is your answer.
~
write an expression for the perimeter of the rectangle given 3x+4 and 2x-3
Answers
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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What symbols are used to indicated statements?
Answers
Answer: => means “implies” or “if and then”
p,q,r are statements
Step-by-step explanation:
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?
Answers
Answer: 0.75
Step-by-step explanation: just had the question on usa tp
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
Answers
Answer:
T
Step-by-step explanation:
Just did it
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.
Answers
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
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?
Answers
20/53 chance or 0.38 probability.
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?
Answers
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:
https://brainly.com/question/15620045
Suppose you have a rectangle with a perimeter of 2 cm. What can you conclude about the side lengths? Can all 4 sides of the rectangle measure a whole number of centimeters?
Answers
Answer:
Step-by-step explanation:
The formula for a perimeter of a rectangle = 2(L+B)
= 2L+2B
Where L and B are length and breadth respectively.
The question says ;
2cm = 2(L+B)
2cm = 2L+2B
Divide both sides by 2
1 = L+B
If the sum of the length and breadth is equivalent to 1cm, then the length itself is less than 1 cm. That is L < 1 cm
When all sides of the rectangle is summed, it will definitely be a whole number since the perimeter is 2 cm
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
Answers
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
Learn more on length of an arc here: https://brainly.com/question/2005046
what’s a negative about plus a positive
Answers
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
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?
Answers
Step-by-step explanation:
An=A1. R raised to the power n-1
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"
Answers
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)).
Learn more about radical here:
https://brainly.com/question/1369233
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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 >_
Answers
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:)
Determine the measure of the named angle below.
mZK
K
40°
Answers
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
Given segment CE and point D that lies on CE, find CD if CE= 11, CD= -16-3x, and ED= -13-2x
Answers
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:
Solve for x2= 9/49. Show your step-by-step.
Answers
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.
The measure of a straight angle (2x+50) (6x+2)
Answers
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
What is the rate of change
Answers
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
help plssssssssssssssssss
Answers
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 PLEASEWrite the function f(x) that is equal to the derivative of the series, please check my work...
Answers
Step-by-step explanation:
Yes, that is correct. Well done!
Pretty please for a homie
Answers
_______
Y+4=-2x+8
Y=-2x+4
someone plz help it looks easy but I dont understand
Answers
Answer:
Step-by-step explanation:
(√8)²=8,2²+2²=8
√8→2 units,2 units
(√7)²=7,(√5)²+(√2)²=5+2=7
√7→√5 units,√2 units
(√5)²=5,2²+1²=5
√5→2 units ,1 unit
3²=9,2²+(√5)²=9
3→2 units,√5 units.
What is the value of 4 to the power of 3 divided by 2 to the power of 3
Answers
Answer:
8 is the answer
Step-by-step explanation:
4 to the power of 3 is basically 4x4x4 which equals 64, and 2 to the power of 3 is 2x2x2 which is 8, and 64 divided by 8 is 8
Answer:
8
Step-by-step explanation:
4³ ÷ 2³
Indices
= (2²)³ ÷ 2³
= 2 ^ 6 ÷ 2³
= 2 ^ (6-3)
=2³ = 8
what is the 7th term in the sequence 48,40, 32, 24,
Answers
Answer:
0
Step-by-step explanation:
Take the second term and subtract the first term
40-48 = -8
Take the third term and subtract the second term
32-40 = -8
The common difference is -8
We have the 4th term
24
The fifth term is
24-8 = 16
The sixth term is 16-8 = 8
The seventh term is 8-8 =0
Answer: 16
Step-by-step explanation:
The answer is 16 because you are going down by 8s
What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3
Answers
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
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answers
Answer:
$14,000
Step-by-step explanation:
i = prt
i= ($70,000)(.04)(5)
i = $14,000
Answer:
$14000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 70000 × 4/100 × 5
I = $14000
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
Answers
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!!!
Find two numbers, if their sum is 49 and their difference is 1/2 .
Answers
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]
