Answer:
x=3
Step-by-step explanation:
3^x = 27
Rewrite 27 as 3^3
3^x = 3^3
The bases are the same so the exponents are the same
x=3
A population proportion is . A sample of size will be taken and the sample proportion will be used to estimate the population proportion. Use z-table. Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within of the population proportion? b. What is the probability that the sample proportion will be within of the population proportion?
Complete Question:
A population proportion is 0.4. A sample of size 200 will be taken and the sample proportion p will be used to estimate the population proportion. Use z- table Round your answers to four decimal places. Do not round intermediate calculations. a. What is the probability that the sample proportion will be within ±0.03 of the population proportion? b. What is the probability that the sample proportion will be within ±0.08 of the population proportion?
Answer:
A) 0.61351
Step-by-step explanation:
Sample proportion = 0.4
Sample population = 200
A.) proprobaility that sample proportion 'p' is within ±0.03 of population proportion
Statistically:
P(0.4-0.03<p<0.4+0.03)
P[((0.4-0.03)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.03)-0.4)/√((0.4)(.6))/200
P[-0.03/0.0346410 < z < 0.03/0.0346410
P(−0.866025 < z < 0.866025)
P(z < - 0.8660) - P(z < 0.8660)
0.80675 - 0.19325
= 0.61351
B) proprobaility that sample proportion 'p' is within ±0.08 of population proportion
Statistically:
P(0.4-0.08<p<0.4+0.08)
P[((0.4-0.08)-0.4)/√((0.4)(.6))/200 < z < ((0.4+0.08)-0.4)/√((0.4)(.6))/200
P[-0.08/0.0346410 < z < 0.08/0.0346410
P(−2.3094 < z < 2.3094)
P(z < -2.3094 ) - P(z < 2.3094)
0.98954 - 0.010461
= 0.97908
10 points! How could you correctly rewrite the equation 4(5 + 3) = 2(22 – 6) using the distributive property?
A]20 + 18 = 44 – 6
B] 20 + 3 = 44 - 6
C]12 + 20 = - 12 + 44
D]20 + 12 = 44 – 12
Answer:
Option D
Step-by-step explanation:
[tex]4(5 + 3) = 2(22 -6)\\\boxed{\text {For the first part of the equation:}}\\\\4(5+3)\\\\=> 4*5 = 20\\=> 4*3 = 12\\\\\boxed{4(5+3)=20+12}\\\\\\\boxed{\text {For the second part of the equation:}}\\\\2(22-6)\\\\=> 2*22=44\\=> 2*-6 = -12\\\\\boxed{2(22-6)=44-12}\\\\\text {Put the two parts together, and we get:}\\\huge{\boxed{20+12=44-12}[/tex]
A principal of $3800 is invested at 8.5% interest, compounded annually. How much will the investment be worth after 12 years?
Answer: $10,114.41
Step-by-step explanation:
A = P(1 + r/n)^nt
Pls answer ASAP ....
Answer:
P=10/36=5/18
Step-by-step explanation:
if two dices are thrown the events(E)={36,45,54,63,46,55,64,56,65,66}=10
S (sample space)=36 because there are 2 dices.
soP=E/S=10/36=5/18
Calculate the interquartike range (IQR=Q3-Q1) of the following data 17, 18, 18, 19, 20, 21, 21, 23, 25
Answer:
4
Step-by-step explanation:
20 is the median
so before and after 20 is the Q3 and Q1
Q1 is 18
Q3 is 22
22 minus 18
The Interquartile range, IQR of the numbers is 4
The process of calculating the above Interquartile Range, IQR is as follows;
The given numbers in the data set are;
17, 18, 18, 19, 20, 21, 21, 23, 25
The required information;
Calculate the inter quartile range IQR = Q₃ - Q₁
The method;
The numbers in the data set are to be arranged in increasing order from smallest to largest number to give;
17, 18, 18, 19, 20, 21, 21, 23, 25 (The numbers were already arranged)
The values of first quartile, Q₁, and the third quartile, Q₃ are then found as follows;
The first quartile, Q₁ = The (n + 1)/4 th term
The third quartile, Q₃ = The 3·(n + 1)/4 th term
Where;
n = The number count in the data set = 9
Therefore:
Q₁ = The (9 + 1)/4 = The 2.5 th term = 18 + (18 - 18) × 0.5 = 18
Q₃ = The 3 × (9 + 1)/4 th term = 7.5 th term = 21 + (23 - 21) × 0.5 = 22
IQR = Q₃ - Q₁
Therefore;
IQR = 22 - 18 = 4
The Interquartile Range, IQR = 4
The Box and Whiskers plot of the above data created with MS Excel is
Learn more about interquartile range, IQR here:
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I think the answer is D, am I correct?
Answer:
It is D
Step-by-step explanation:
Answer:
The answer is D or cubic binomial.
Step-by-step explanation:
Stay safe and mark brainliest! (even though you did all the work and got it right:);))
Evelyn can run 5 laps around the track in 11 minutes. If she runs for an hour, how many laps will she run?
Answer:
27 laps
Step-by-step explanation:
So first step is to work out how many times 11 fits into 60
[tex] \frac{60}{11} = 5.4545455[/tex]
Then you would times that by the number of laps which is 5
[tex]5.454545455 \times 5 = 27.27.....[/tex]
So it is 27 laps as .27 of a lap is not a complete lap
This two-way frequency table gives the results of a screening test for heart disease conducted by determining the cholesterol level in the blood
samples of 750 patients.
Question 1
Using the two-frequency table, compute the probability of having high cholesterol. Or Phigh cholesterol)
Answer:
The probability of having high cholesterol = 0.496
Step-by-step explanation:
Given frequency data table
cholesterol level
Normal High Total
Heart diseases Yes 11 223 234
No 367 149 516
Total 378 372 750
Given data
The Cholesterol level is high n ( High cholesterol) = 372
Total n( S) = 750
The probability of having high cholesterol level
P( E) = [tex]\frac{n(E)}{n(S)} = \frac{372}{750} = 0.496[/tex]
A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?
Answer:
The graph of the function is positive on (-∞ –7).
Step-by-step explanation:
What is the slope-intercept equation of the line below?
O A. y = -2x-1
B. y=-2x+1
O C. y = 2x + 1
D. y = 2x - 1
Answer:
B. y=-2×+1
Step-by-step explanation:
2×+y-1=0
so,y=-2×+1 is the slope intercept
Tell whether each statement is a proportion:
3:9 = 6:18
28:7 = 64:16
95:100 = 17:20
60:80 = 14:16
200:300=24:36
Answer:
1. Yes
2. No
3. No
4. No
5. Yes
Step-by-step explanation:
Do you mean equal proportion?
1. 3 : 9 = 6 : 18 TRUE because 3 : 9 = 1 : 3 and 6 : 18 = 1 : 3
2. 28 : 7 = 64 : 16 FALSE because they are just not related.
3. 95 : 100 = 17 : 20 FALSE because the closest they get are 19 : 20 ≠ 17 : 20
4. 60 : 80 = 14 : 16 FALSE because the closest they get are 60 : 80 = 6 : 8 and 14 : 16 = 7 : 8
5. 200 : 300 = 24 : 36 TRUE because 200 : 300 = 2 : 3 and 24 : 36 = 2 : 3
In June, Meg runs a race 10 seconds faster than she did in April. Let y represent her finishing time for the race in April. Which expression represents her faster time in June?
y - 10
y + 10
10 - y
Answer:
y+10
Step-by-step explanation:
Answer:
The first one
Step-by-step explanation:
Y-10 bc she ran 10 seconds faster
Which of the following has a denominator of 6?
a. 6 2/3
b. 16/18
c. 6/7
d. 1/6
Answer:
D
Step-by-step explanation:
The denominator is the bottom number in a fraction, while the numerator is the top number.
numerator/denominator
Let's analyze the answer choices.
A. 6 2/3
The bottom number of the fraction is a 3, so this cannot be correct.
B. 16/18
The denominator here is 18, so this choice is also incorrect.
C. 6/7
In this fraction the numerator is a 6, but the denominator is a 7, so this choice is also wrong.
D. 1/6
This choice is the correct answer. The denominator, or bottom number is a 6.
The answer is D. 1/6.
Answer:
D
Step-by-step explanation:
Numerator/ denominator
Upper part of a fraction is numerator & down part of the fraction is denominator
What property was applied to solve the equation below?
0.36x=-1.8
0.36(+0.36)x=-1.8(+0.36)
X=-5
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
is it possible to construct a triangle with the given side lengths 6,7 and 11 units ,if not explain
Answer:
Yes!
Step-by-step explanation:
The smaller sides sum should be greater (NOT EQUAL) than the longest side's sum.
On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.
Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Does the point (2, StartRoot 6 EndRoot) lie on the circle shown? Explain.
Yes, the distance from (3, 0) to (0, 0) is 3 units.
Yes, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is 3 units.
No, the distance from (3, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
No, the distance from (0, 0) to (2, StartRoot 6 EndRoot) is not 3 units.
Answer:
The correct option is;
No, the distance from (0, 0) to (2, √6) is not 3 units
Step-by-step explanation:
The given parameters of the question are as follows;
Circle center (h, k) = (0, 0)
Point on the circle (x, y) = (3, 0)
We are required to verify whether point (2, √6) lie on the circle
We note that the radius of the circle is given by the equation of the circle as follows;
[tex]Distance \, formula = \sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}}[/tex]
Distance² = (x - h)² + (y - k)² = r² which gives;
(3 - 0)² + (0 - 0)² = 3²
Hence r² = 3² and r = 3 units
We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;
[tex]\sqrt{\left (x_{2}-x_{1} \right )^{2} + \left (y_{2}-y_{1} \right )^{2}} = Distance[/tex]
Therefore;
(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²
[tex]\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10[/tex]
Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10
Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point (2, √6), does not lie on the circle.
Answer:
d
Step-by-step explanation:
Mike’s house has three bedrooms. Each bedroom has a closet. The closet in the first bedroom measures 5 ft in length. 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined? 3 ft in width, and 7 ft in height. The closet in the second bedroom measures 5 ft in length, 4 ft in width, and 7 ft in height. The closet in the third bedroom measures 5 ft in length, 8 ft in width, and 7 ft in height. How much space is in all three closets combined?
Answer:
7 ft
Step-by-step explanation:
x^4 + y^4
How do you factor this? I have to factor it using x+y and xy.
Answer:
I'm not sure this could be factored. if it was x^4-y^4, then it would be (x-y)(x+y)(x^2+y^2)
ps. check if you have the question correct
Chen writes down a two digit number. He finds that if he swaps the digits of the number round, the new number he creates is three more than one third of the original number. What was the original number?
Answer: 27
Step-by-step explanation:
Let original number be 27,
swapping round we get 72
1/3 rd of 72 = 24
24 + 3 = 27
Answer:
Your answer is 27.
Step-by-step explanation:
I hope this helps!
While bowling with friends, Brandy rolls a strike in 8 out of 10 frames. What is the experimental probability that Brandy will roll a strike in the first frame of the next game? Enter your answer as a simplified fraction.
He rolled 8 strikes out of 10 tries.
This make the probability of rolling a strike 8/10 which reduces to 4/5
The answer is 4/5
Yesterday, Bridget's Snack Shack went through 2 bottles of ketchup. If they used 2 3/5 times
as much mustard as ketchup, how many bottles of mustard did they go through?
Write your answer as a fraction or as a whole or mixed number.
bottles
Submit
I don't know this yet >
Answer: 26/5
Step-by-step explanation:
Mustard used was 2 3/5 as much as ketchup =
2 x 2 3/5
= 2 x 13/5
= 26/5
The model represents an equation.
What value of x makes the equation true?
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value. x = -3.8
X = 2.25
x=4.12
x=2
The value of x in the model that makes the equation true is: b. x = 2.25
We can find the value of x that makes the equation true by applying our knowledge of how to model equations.
From the image given:
On your left, we have -x, in three places which can be translated to as: [tex]3 \times -x = -3x[/tex]On the left also, we are given [tex]10 \times 1 = 10[/tex]We can model the left side as:[tex]-3x + 10[/tex]
On your right, we have x in five places which can be translated to as: [tex]5 \times x = 5x[/tex]On the right also, we are given [tex]8 \times -1 = -8[/tex]We can model the left side as:[tex]5x - 8[/tex]
The equation would be:[tex]-3x + 10 = 5x - 8[/tex]
Solve the equation for the value of x. Collect like terms.[tex]-3x - 5x = - 8 - 10\\\\-8x = -18[/tex]
Divide both sides by -8[tex]x = \frac{-18}{-8} \\\\x = 2.25[/tex]
Therefore, the value of x in the model that makes the equation true is: b. x = 2.25
Learn more here:
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A scientist is filling beakers of water for an experiment. He begins with 3 liters of water in a large container and each beaker holds 2/5 of a liter of water. How many beakers can the scientist fill? *
Answer
7 beakers
Step-by-step explanation:
going by filling the beakers it goes 2/5 4/5 7/5 (1 2/5) 1 4/5 2 1/5 2 3/5 3 beakers. Count that and it equals 7 beakers using 3 liters of water.
Please help!!! The answer is written by listing the letter corresponding to each proportion.
Answer:
A.
B.
D.
E.
H.
Step-by-step explanation:
So if it's cross multiplication, the original has 5 possibilities.
There is:
x : u = y : t,
x : y = u : t,
t : y = u : x,
u : x = t : y
y : x = t : u
On Orbitz, you found a flight for $345.00 to Miami. Whoooo! As you are about to check it out, Orbitz offers you a promotion. “ Get 20% off“ What is the discount that you will be saving, if tickets are needed for you, one of your parents, and two friends?
Answer:
$276
Step-by-step explanation:
345*4 = 1380
1380*.2 = 276
Question 7 Multiple Choice Worth 1 points)
(03.03 LC)
Triangle MNO is dilated to form new triangle PQR. If angle
is congruent to angle R. what other information will prove that the two triangles are similar by the AA similarity postulate?
Side ON is congruent to side RQ.
Angle Nis congruent to angle
Side MN is congruent to side PQ.
Angle M is congruent to angle Q.
Please help
Answer:
Angle N is congruent to Angle Q.Step-by-step explanation:
If triangles MNO and PQR are similar, then the corresponding sides are propotional and the corresponding angles are congruent.
Angle M corresponds to Angle P.Angle N corresponds to Angle Q.Angle O corresponds to Angle R.So, we know by gvein that angles O and R are congruent. We only need another angle congruence to use the AA postulate of similarity.
Therefore, the right answer is the second choices, because Angle N must be congruent to Angle Q.
Answer: B: Angle N isn’t congruent to angle Q
Step-by-step explanation: You have to follow the letters MNO and PQR. We know O is congruent to R to get another angle we would use Angle N and Q because of the order since Angle M and angle Q aren’t in the same order and we’re not dealing with sides only Angles.
Question #2 [tex]5x+9\leq 4[/tex]
A circle is centered at O(0,0)O(0,0)O, left parenthesis, 0, comma, 0, right parenthesis and has a radius of \sqrt{29}
29
square root of, 29, end square root.
Where does the point T(5,-2)T(5,−2)T, left parenthesis, 5, comma, minus, 2, right parenthesis lie?
Answer:
Point T is on the circle
Step-by-step explanation:
To check where the point lies, we need to find its distance to the center of the circle.
The distance between two points (x1, y1) and (x2, y2) is given by:
[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
If the first point is O(0,0) and the second is T(5, -2), we have:
[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]
[tex]distance = \sqrt{29}[/tex]
The distance between the points is equal the radius of the circle, that means the point T is on the circle.
Answer:
inside the circle
Step-by-step explanation:
Khan Academe
Write the equation of the line with the following characteristics. Parallel to y=7x+2 through the point (0,0)
Answer:
y = 7x - 5
Step-by-step explanation:
y = 7x+2 we see the gradient is 7 (x 0) + 2 = Since the line is parallel to y= 7x +2
The new line has a slope of 7 + 2 as the intercept at y.
y - 0 = 7 ( x - 0)
y - 1/7 = x - 0
y = 7x - 5
As 7 -5 = 2
Hence equation of line becomes y=7x.
What is Equation of line?You must ensure that both equations have the same slope in order to find an equation for a line that is parallel to another. The m reflects your slope value in the general equation of a line, y=mx+b.
How to solve?Now given line y=7x+2 ,this line is parallel to another line which passes through origin(0,0)
Hence putting 0,0 in general equation to find equation of parallel line
⇒y=mx+c
⇒0=m(0)+c
⇒0=c
where m=7 as parallel lines have same slope.
Hence equation of line becomes y=7x.
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#SPJ2
Plz need help with this question asap!!!
Answer:
A.
Step-by-step explanation:
The expression (1/4) * d + 7 really just means "one-fourth times d, plus 7"
Option A says the same expression, as we know that the product means multiplication, and that we add 7 at the end. For this reason, it is the correct response.
I hope this helps!
hello,
here is your answer:
**********
The product of one-fourth and a number, plus seven.
**********
hope this helped,
:)
