Answer:
The probability is \(P(0.35 <X < 0.55) = 0.9921772\)
Step-by-step explanation:
From the question we are told that
The sample size is n = 175
The population proportion is p = 0.45
Generally the mean of the sampling distribution is \(\mu_{x} = 0.45\)
Generally the standard deviation is mathematically represented as
\(\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }\)
=> \(\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }\)
=> \(\sigma_{x} = 0.0376\)
Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is
\(P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )\)
=> \(P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )\)
Generally \(\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)\)
So
\(P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )\)
=> \(P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )\)
From the z-table
\(P( Z< 2.6595 ) = 0.99609\)
and
\(P( Z< - 2.6595 ) = 0.0039128\)
So
\(P(0.35 <X < 0.55) =0.99609 - 0.0039128\)
=> \(P(0.35 <X < 0.55) = 0.9921772\)
what is the variable "d" equal to in the equation 2d + 13
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
Pls help answer fast rapidly is of khan academy:
Answer:
expanded: 7+0.08
standard: 7.08
Step-by-step explanation:
The hundredths place is the second digit after the decimal, so 8 hundredths is 0.08.
Hannah pays $27.50 for her dinner at her favorite restaurant in New York City. The cost of her dinner includes tax and tip, which was a 30% increase on the cost of her meal. What is the cost of Hannah’s meal without tax and tip?
Answer: $19.10
Step-by-step explanation:
To be honestly im not sure if this is 100% correct but, i did the work so it should be. So what i did was move the decimal from $27.50 one place to the left which is= 2.750. i then rounded the easiest number which then gave me the answer $2.80. Now the percentage, its 30% so you then change it to .30
then you multiply that number (.30 which is basically 3) with $2.80.
$2.80
x .30
--------
you then get $8.40
which is the total cost of tax AND tip.
you subtract that with the cost of the dinner. ( $27.50 - $8.40 ) and you get the answer $19.10! I hope this helps! :))
Terry finished cooking at 7:36 p.m. She cooked for 2 hours and 40 minutes. What time did she start cooking?
Answer:
2:56 pm
Step-by-step explanation:
end time: 7:36 pm
Borrow one hour from the hours and add it as 60 minutes to the minutes.
7:36 pm = 6:96 pm
Now subtract 2:40 from 6:96.
Subtract 2 from 7 and subtract 40 from 96.
7:36 pm - 2:40 = 6:96 pm - 2:40 = 2:56 pm
Answer: 2:56 pm
PLEASE HELP SOLVE THIS WUESTION SOLVE FOR y
Answer:
y = 5
Step-by-step explanation:
12^2 + y = 13^ 2
144 + y = 169
169 - 144 = 25
sqrt of 25 = 5
y = 5
Answer:
A, y=5
Step-by-step explanation:
I just did it right now
PLS HELP QUICKLY!!!!!!!!!!
Answer:
6.300
Step-by-step explanation:
Answer: What is "A" rounded to the nearest thousandth? answer: 6.340
What is "A" rounded to the nearest hundredth? Answer: 6.300
Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.
Hope this helps, I'm doing math too, just taking a break to help someone else out.
evaluate the expression for x=-3 Thank you
\( {x}^{2 } - 2x + 4\)
Answer: 7
Step-by-step explanation:
3 x 3 = 9 - 2(3)+4
9-6+4
=7
kingston wrote 24 words in 2/3 of a min. at this rate, how many words will he type in 3 1/2 min
Answer:
Step-by-step explanation:
Find the next three terms in each geometric sequence. -4, 16, -64, ...
Answer:
Step-by-step explanation:
Common ratio r = a₂/a₁ = 16/(-4) = -4
a₄ = a₃(-4) = 256
a₅ = a₄(-4) = -1024
a₆ = a₅(-4) = 4096
7. The graph of part of linear function g is shown on the grid. Which inequality best represents the domain of the part shown?
Answer:
a
Step-by-step explanation:
Domain means the change in x.
so the domain will be which values of x the fn goes through.
you can see the black line goes from -9 to 2 in x values.
the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.
so x is between -9 and 2, 2 is with equals -9 is without,
so the first one.
The inequality best represents the domain of the part shown should be -9<x ≤2.
What is domain?Here domain means the change in the x. Here the domain should be the values of with respect to fn. Also, here we have to watch the blank line that goes from -9 to 2 in x values.
Since 9 should not be filled however 2 should be.
hence, The inequality best represents the domain of the part shown should be -9<x ≤2.
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Solve for x
Answer choices:
4
5
8
3
2
Answer:
4
Step-by-step explanation:
You need to find XYW
<xYW = <XYZ - <WYZ
<XYW = 128 - 85
<XYW = 43
12x - 5 = 43 Add 5 to both sides
12x = 43 + 5
12x = 48 Divide by 12
x = 48/12
x = 4
6. Use the following matrices to answer the questions. (2 points each)
5 -8
2 -6
-8
-2 3
A
외
B =
[4
18] c- [5 5] -
C=
9 1
03
9
1
a. Is the operation E + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
b. Is the operation B + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
c. Is the operation E. D possible? Circle YES or NO
If yes, state the dimensions of the answer:
d. Is the operation D E possible? Circle YES or NO
If yes, state the dimensions of the answer:
e. Is the operation A D possible? Circle YES or NO
If yes, state the dimensions of the answer:
1
-1 10
E
11
7 -1 0
Answer:
its a such a hard questions i think you should ask to you're teacher ?
Compare the algebraically expressed function f(x) = 1 4 x2 - 2x to the function shown in the graph to determine which statement is true. A) The algebraic function has a greater maximum value. B) The algebraic function has a lower minimum value. C) The graphed function has a greater maximum value. D) The graphed function has a lower minimum value.
The correct statement regarding the minimum value of the quadratic functions is given as follows:
D) The graphed function has a lower minimum value.
How to obtain the minimum value of the quadratic functions?From the graph, the minimum value of the quadratic function is given as follows:
y = -8.
The algebraic function is defined as follows:
f(x) = 0.25x² - 2x.
Hence the coefficients are given as follows:
a = 0.25 and b = -2.
The x-coordinate of the vertex is given as follows:
x = -b/2a
x = 2/0.5
x = 4.
Then the y-coordinate of the vertex, representing the minimum value, is given as follows:
f(4) = 0.25(4)² - 2(4)
f(4) = -4 -> meaning that the graphed function has a lower minimum value.
Missing InformationThe graph is given by the image presented at the end of the answer.
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Which of the following is not possible?
A. An acute scalene triangle
B. A triangle with two acute exterior angles
C. An obtuse isosceles triangle
D. An equiangular acute triangle
Answer:
B
Step-by-step explanation:
just trust me...it's right ;)
Step-by-step explanation:
THE CORRECT ANSWER IS OPTION B.
A TRIANGLE CAN FORM IN A, C, D, BUT NOT IN B.
HOPE THIS HELPS YOU.
-7b=-56 pls answer with the work and steps
Answer:
b=8
Step-by-step explanation:
Solution steps:
-7b=-56
b=-56 / -57
b=8
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{ b = 8}}}}}\)
Step-by-step explanation:
\( \sf{ - 7b = - 56}\)
divide both sides of the equation by -7
\( \sf{ \dashrightarrow\frac{ - 7b}{ - 7} = \frac{ - 56}{ - 7} }\)
Calculate
\( \dashrightarrow \sf{b = 8}\)
Hope I helped!
Best regards! :D
Gavin is making a scale replica of a tent for his social studies project. The replica is in the shape of a triangular prism. It has an isosceles triangle base with side lengths 6 inches, 5 inches, and 5 inches. The height of the triangle is 4 inches, and the depth of the tent is 7 inches. How much fabric will Gavin need to make the outside of the replica, including the "floor"?
The fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in²
What is surface area?
Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.
Surface area of triangular prism with isosceles triangle base is find out using the following formula,
\(A_s=[(2a+b)\times l]+2\times A_b\)
Gavin is making a scale replica of a tent for his social studies project.
The replica is in the shape of a triangular prism. It has an isosceles triangle base with side lengths 6 inches, 5 inches, and 5 inches.
The base area of the prism is,
\(A=\dfrac{1}{2}\sqrt{5^2-\dfrac{6^2}{4}}{\times6}\\A=12\rm\; in^2\)
The height of the triangle is 4 inches, and the depth of the tent is 7 inches.
Put the values in the above formula as,
\(A_s=[(2\times5+6)\times 7]+2\times12\\A_s=136\rm \; in^2\)
Thus, the fabric required to Gavin to make the outside of the replica, including the "floor" is 136 in².
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Simplify -6+ 13 need help really badly
Answer:
7
Step-by-step explanation:
-6+13 is the same as 13-6
Which of the following equations represents a linear function?
2x − 4 = 6
x = −2
y equals one half times x squared
y equals two thirds times x plus 4
Answer:
y equals 2/3 x plus 4 is correct.
The equation y= 1/3x + 4 represents a linear function.
What is Linear Equation?A linear function is a function that can be represented by a straight line. The equation of a linear function is typically in the form y = mx + b, where m represents the slope and b represents the y-intercept.
1. 2x − 4 = 6 is a linear equation, but it is not a function because it does not isolate y.
2. x = −2" represents a vertical line with a slope of infinity, but it does not have the form y = mx + b.
3. y = 1/2x² represents a quadratic function because it contains x raised to the power of 2.
4. y= 1/3x + 4 represents a linear function.
Therefore, the equation y= 1/3x + 4 represents a linear function.
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What is the distance between (4, 6) and (5, 0)
Answer:
6 units
Step-by-step explanation:
Given data
x1=4
y1=6
x2=5
y2=0
substitute in the formula for the distance between two points
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((5-4)²+(0-6)²)
d=√((1)²+(6)²)
d=√36)
d=6
Hence the distance is 6 units
Which of the following numbers is between 2/5 and 7/8 ?
A: 15/16
B: 3/4
C: 3/8
D: 1/3
Answer:
B
Step-by-step explanation:
The required fraction lies between the numbers 2/5 and 7/8 is 3/4. Option B is correct.
Given that,
It is to be identified, which number lies between fractions 2/5 and 3/8.
Fraction is defined as the number of compositions that constitute the Whole.
Here,
2 / 5 = 0.4 and 7 / 8 = 0.875
Now,
A. 15 / 16 = 0.9375 which exceed 0.875, so it is not correct option.
B. 3/4 = 0.74 which lies between 2/5 and 7 / 8, so It is the correct option.
C. 3/8 = 0.375 which exceeds 2/5, so it is not correct option.
D. 1 /3 = 0.34 which exceeds 2/5, so it is not the correct option.
Thus, the required fraction lies between the numbers 2/5 and 7/8 is 3/4. Option B is correct.
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the difference between twice a number and a number that is 5 more than it is 3. What is the number?
Answer:
4?
Step-by-step explanation:
Answer:
2n-(n+5)=3
Step-by-step explanation:
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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Please help i kinda need this fast
Answer:
the first page :
x =20
the second page :
x = 45
Step-by-step explanation:
first question
to find angle BOC subtract 110 from 180( because 180 degrees is a straight line)
angle BOC = 70 degrees
this means that the angle opposite to it is also 70 degrees ( DOA)
now to find x, add up 110, 70, 70, 90, x to get 360
110 + 70 + 70 + 90 + x = 360
x = 20
second question :
every thing adds up to 360 degrees.
90 + 5x + x = 360
6x = 270
x = 45
Which expression is equivalently to x^2 + 2x + 2?
Answer:
(X-1+I)(x-1-I)
Step-by-step explanation:
Expression (x + 1 - i)(x + 1 + i) is equivalent to x² + 2x +2.
Option (B) is correct option.
What is an algebraic expression?Variables, integers, and a variety of mathematical procedures make up an algebraic expression.
To find the expression equivalent to x² + 2x +2,
Solve with the help of options.
(A)
(x - 1 + i)(x - 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x - 1 + i)(x - 1 - i) = (x -1)² - i² = x² + 1 - 2x +1 = x² - 2x + 2
(B)
(x + 1 - i)(x + 1 - i)
Solve by using formula (a + b)(a - b) = a² - b²
(x + 1 - i)(x + 1 + i) = (x + 1)² - i² = x² + 1 + 2x +1 = x² + 2x + 2
Expression in option (B) is equivalent to x² + 2x + 2.
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Academic Advising: In 2014, the Community College Survey of Student Engagement reported that 32% of the students surveyed rarely or never use academic advising services. Since then, a local California community college that participated in the survey hired several new academic counselors and focused on outreach efforts to increase student awareness of available services. The counseling office staff then conducted a survey of 500 randomly selected students at the college, and 26% of those students said that they rarely or never use academic advising services. Campus administrators want to know whether the hiring and outreach efforts increased student use of academic advising. Which alternative hypothesis is appropriate?
Answer:
The alternative hypothesis is that the proportion of the students surveyed that rarely or never use academic advising services is less than 32% or 0.32. That is the students use of academic advising has increased.
Ha: p < 0.32
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
Let p represent the proportion of the students surveyed that rarely or never use academic advising services.
The null hypothesis is that the proportion of the students surveyed that rarely or never use academic advising services is equal to 32% or 0.32.
H0: p = 0.32
The alternative hypothesis is that the proportion of the students surveyed that rarely or never use academic advising services is less than 32% or 0.32. That is the students use of academic advising has increased.
Ha: p < 0.32
(36)^x+2= 6
Solve and round to the nearest 100th
Please help I am confused and need an explanation
As the given equation is (36)ˣ⁺² = 6 , then the solution for the given equation is x ≈ -1.54.
The given equation in the question is (36)ˣ⁺² = 6
according to the given equation , the goal is to solve the equation for x.
For solving this equation ,
we'll have to use logarithmic operations which is as follows:
log36(6) = x+2.
We will be further using a calculator to determine the logarithmic value: log36(6) ≈ 0.4607.
Now, By subtracting 2 from both sides, we will get the value of x as:
x ≈ -1.54.
When we round off this value to the nearest 100th, we will get -1.54.
Thus , the solution for the given equation is x ≈ -1.54.
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During a review game, Mr. Pai's class correctly answered 65 questions on the first try. If there were 75 questions in the game, at what rate were questions answered correctly on the first try? Express your answer as a decimal. Round to the nearest thousandth.
A. 0.087
B. 0.867
C. 0.133
D. 1.154
Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B
What is RateRate can be defined as comparing two or more ratio with a standard value.
The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.
The rate is given as;
rate = 65 / 75
rate = 0.867
The rate of correct answers is 0.867
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Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.
The correct equation that matches the given graph is y = cos(x) + 1.
To determine the equation that matches the given graph, we can observe the key features and points provided.
The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.
The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.
The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.
Based on these observations, the function can be represented as a cosine function.
The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:
y = cos(x) + 1
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Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000
The area of a certain desert (Desert 1) is eight times the area of another desert (Desert 2). If the sum of their areas is
27,000,000 square miles, find the area of each desert.
What is the area of Desert 1?
Answer:
1687500
Step-by-step explanation:
If their sum is 27,000,000 then their are millions of ways to find this answer. like one can be 13500000. But that answer is obviously incorrect. If you divide that by 8, your answer will be 1687500.