Answer:
Step-by-step explanation:
y= -1/4x
Suppose that the probability distribution for birth weights is normal with a mean of 120 ounces and a standard deviation of 20 ounces. The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is [ Select ] 68%. The probability that a randomly selected infant has a birth weight between 110 and 130 is [ Select ] 68%.
Answer:
The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.
The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 120 ounces and a standard deviation of 20 ounces.
This means that \(\mu = 120, \sigma = 20\)
The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is
p-value of Z when X = 140 subtracted by the p-value of Z when X = 100.
X = 140
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{140 - 120}{20}\)
\(Z = 1\)
\(Z = 1\) has a p-value of 0.84
X = 100
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{100 - 120}{20}\)
\(Z = -1\)
\(Z = -1\) has a p-value of 0.16
0.84 - 0.16 = 0.68
The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.
The probability that a randomly selected infant has a birth weight between 110 and 130
This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 110.
X = 130
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{130 - 120}{20}\)
\(Z = 0.5\)
\(Z = 0.5\) has a p-value of 0.69
X = 110
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{110 - 120}{20}\)
\(Z = -0.5\)
\(Z = -0.5\) has a p-value of 0.31
0.69 - 0.31 = 0.38 = 38%.
The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.
solve the system of equations. which answer choice has truth to it's solution?y=X+7y=1/4x+11/2multiple choice options:x=-2x=-3y=6y=7y=11/2please show work!
Given the System of Equations:
\(\begin{cases}y=x+7 \\ \\ y=\frac{1}{4}x+\frac{11}{2}\end{cases}\)You can apply the following steps in order to solve it using the Substitution Method:
1. Substitute the second equation into the first equation:
\(\frac{1}{4}x+\frac{11}{2}=x+7\)2. Solve for "x":
\(\begin{gathered} \frac{1}{4}x-x=7-\frac{11}{2} \\ \\ -\frac{3}{4}x=\frac{3}{2} \end{gathered}\)\(\begin{gathered} x=(\frac{3}{2})(-\frac{4}{3}) \\ \\ x=-\frac{12}{6} \\ \\ x=-2 \end{gathered}\)3. You can substitute the value of "x" into the first original equation:
\(\begin{gathered} y=x+7 \\ y=(-2)+7 \end{gathered}\)4. Evaluating, you get this value of "y":
\(\begin{gathered} y=-2+7 \\ y=5 \end{gathered}\)Hence, the answer is: First option.
Find the value of -8 + 9.2 +-3.
Answer:
-1.8
Step-by-step explanation:
move the numbers around a bit because there is no multiplication so 9.2-8+-3
then take out the plus so it doesn't confuse anyone 9.2-8-3
then add 8+3 which is 11 but remember to put the negative back
9.2 - 11
which gives you -1.8
Answer:
-1.8
Step-by-step explanation:
Because,
-8 + 9.2 +-3
=> 9.2 - 8 - 3 (Commutative property)
=> 9.2 - 11 (Because subtraction is done first, and a negative + a negative = a negative)
=> -1.8 will be the final answer
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what is the LCM of 210 and 112
Answer:
1680
Step-by-step explanation:
Maria biked 25 kilometer to the store and then 310 kilometer to the post office. Jessica biked 45 kilometer to the pool and then 110 kilometer to the hot dog stand. How much farther did Jessica bike than Maria?
To find out, first determine how far Maria biked.
How far did Maria bike?
what’s the answer to this mathematical question
Answer:
15
Step-by-step explanation:
c=√a²+b²
=√9²+12²
=√9×9+12×12
=√81+144
=√225
=15
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The length of a new rectangle playing field is 8 yards longer than a quadruple the width if the perimeter of the rectangle playing field is 368 yards what are the dimensions
Answer:
width = 35.2 yd; length = 148.8 yd
Step-by-step explanation:
Let the width = w.
The length is 8 yd more than 4 times the width.
length = 4w + 8
perimeter = 2(length + width)
perimeter = 2(4w + 8 + w)
perimeter = 2(5w + 8)
perimeter = 10w + 16
perimeter = 368 yd
10w + 16 = 368
10w = 352
w = 35.2
length = 4w + 8
length = 4(35.2) + 8
length = 148.8 yd
Answer: width = 35.2 yd; length = 148.8 yd
How many real and complex roots exist for the polynomial
F(x)= x³ +2x² + 4x+8 ?
OA. 2 real roots and 1 complex root
OB. 1 real root and 2 complex roots
C. 3 real roots and 0 complex roots
D. 0 real roots and 3 complex roots
The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:
B. 1 real root and 2 complex roots.
How to identify the zeros of the function?The function in this problem is defined as follows:
F(x) = x³ + 2x² + 4x + 8.
The function is of the third degree, hence the total number of zeros of the function is of 3.
From the graph, the function has only one x-intercept, which is given as follows:
x = -2.
Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.
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Which point is located at (3, -1)?A.point AB.point DC.point ED.point F
B) point D
1) Examining that graph we can locate the point whose coordinates are (3,-1). Note that the x-coordinate is positive, and the y-coordinate is negative
2) This leads us to conclude that (3,-1) is in Quadrant IV and since the x-coordinate is 3 and the y-coordinate is 1 we can tell that
3) The answer is point D
Activity 1:
Q\Circle the coefficient of each of these terms:
14d f) 3.5g
11k +4 g) W
5.3e +67 h) X
918273k + 87 I) k + 455
-5g j) 3X +1
Answer:
e) 14
f) 3.5 and 11
g) 1 and 5.3
h) 1 and 918273
i) 1 and -5
j) 3
Step-by-step explanation:
A coefficient is the number or constant that multiplies a variable in an algebraic expression. It is placed before a variable.
We are to find the coefficient of each of the terms.
e) 14d
Considering the above definition, d is the variable. The coefficient to be circled is 14
f) 3.5g + 11k +4
Considering the above definition, g and k are variables respectively.
The coefficient to be circled are 3.5 and 11 respectively
g) w + 5.3e +67 = 1w + 5.3e +67
Considering the above definition, w and e are variables respectively.
The coefficient to be circled are 1 and 5.3 respectively
h) x + 918273k + 87 = 1x + 918273k + 87
Considering the above definition, x and k are variables respectively.
The coefficient to be circled are 1 and 918273 respectively
I) k + 455 -5g = 1k + 455 -5g
Considering the above definition, k and g are variables respectively.
The coefficient to be circled are 1 and -5 respectively
j) 3x +1
Considering the above definition, x is the variable. The coefficient to be circled is 3
Note the answer to (f), (g) and (h) would be slightly different if the signs are opposite. That is if we have: x - 918273k + 87. Coefficient = -918273
If 3.5g - 11k +4, Coefficient = 3.5 and -11
For w - 5.3e +67, Coefficient = -5.3 and 67
You can used the formula to find the omitted questions(a to d)
Find the surface area of the cylinder: Use 3.14 for
2 cm
15 cm
A. 100.48 cm
B. 97,43 cm
C. 36.28 cm
D. 33.14 cm
2 of 4 Answered
Answer:
Well on my end i got 47.12, with pi included
Step-by-step explanation:
The surface area of the cylinder with the diameter 2cm and height 15cm is \(100.48 \; cm^2\)
Calculation to find Surface area of cylinder:
Given the diameter of the cylinder is 2cm and height 15cm
Formula :
The surface area of the cylinder =\(2\pi r^2+2\pi rh\)
where 'r' is the radius and 'h' is the height of the cylinder
Diameter = 2cm
\(radius =\frac{diameter }{2} =\frac{2}{2} =1\)
radius = 1cm and height is 15 cm
the value of pi is 3.14
Substiute all the values
\(SA = 2\pi r^2+2\pi rh\\SA=2(3.14)(1)^2+2(3.14)(1)(15)\\SA=6.28+94.2\\SA=100.48 cm^2\)
The surface area of the cylinder with the diameter 2cm and height 15cm is \(100.48 \; cm^2\)
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A student is taking a multiple choice test that has 30 questions. She needs to answer at least 20
questions to submit her test. In order to earn a passing grade, she needs to get at least as many
questions correct as she got incorrect (not left blank). In order to qualify for a scholarship, she
needs to score at least 100 points, where correct answers are worth 15 points each, and each
incorrect response is 7 points off
Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment
m
(Round to one decimal place as needed)
ample Get more help-
HW Score: 39.53%, 17 of 43 points
O Points: 0 of 6
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 14 subjects had a mean wake time of 105 0 min After treatment, the 14 subjects had a
mean wake time of 782 min and a standard deviation of 24 1 min Assume that the 14 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the
mean wake time for a population with drug treatments What does the result suggest about the mean wake time of 105 0 min before the treatment? Does the drug appear to be effective?
The result suggests that the mean wake time might have really reduced since the values barely fall above 100 min as in before treatment with a high degree of confidence. thus , the drug is effective.
Confidence interval is written in the form as;
(Sample mean - margin of error, sample mean + margin of error)
The sample mean represent x , it is the point estimate for the population mean.
Margin of error = z × s/√n
Where s = sample standard deviation = 21.8
n = number of samples = 17
Now the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score
then the degree of freedom, df for the sample.
df = n - 1 = 17 - 1 = 16
Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01
α/2 = 0.01/2 = 0.005
Therefore the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995
the t distribution table, z = 2.921
Margin of error = 2.921 × 21.8/√17
= 15.44
The confidence interval for the mean wake time for a population with drug treatments will be; 90.3 ± 15.44
The upper limit is 90.3 + 15.44 = 105.74 mins
The lower limit is 90.3 - 15.44 = 74.86 mins
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What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
the highway is in Alberta. How many kilometres are in Alberta?
Answer:
472.2 km
Step-by-step explanation:
Which situation results in a final value of zero? choices are in the screenshot.
Answer:
B
Step-by-step explanation:
If a person had $2.25 and buys an item for $2.25 then sells it for the same price they made $0 back.
How do you write 582,030 in expanded form
Answer:
500,000 + 80,000 + 2,000 + 30
My little sister’s homework and the stuff I’ve put is wrong
The area of the rectangle is (14 + 1/3) square yards.
How to get the area of the rectangle?We know that for a rectangle of length L and width W, the area is:
A = L*W
Here we know that:
L = (4 + 2/3) yards.
W = (3 + 1/4) yards.
We just need to take the product between these two numbers, we will get:
area = (4 + 2/3)* (3 + 1/4) yd²
Expanding the product:
(4 + 2/3)* (3 + 1/4) yd² = [ 4*3 + 4*(1/4) + (2/3)*3 + (2/3)*(1/4)] yd²
= [ 12 + 1 + 2 + 2/6] yd²
= (14 + 1/3) yd²
That is the area of the rectangle.
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a, b, c, and d are four different numbers and the proportion is true, which of the following is false?
If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, then none of the statements is false.
What is proportion?
In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.
Since a/b = c/d, are proportional then can cross-multiply to get ad = bc.
Now, evaluate each statement -
A. b/a = d/c
Cross-multiplying, it is obtained that bc = ad, which is true based on the original proportion.
Therefore, this statement is true.
B. a/c = b/d
Cross-multiplying, it is obtained ad = bc, which is also true based on the original proportion.
Therefore, this statement is true.
C. b/a = c/d
This is equivalent to the original proportion, so it is true.
D. (a + b)/b = (c + d)/d
Simplify the equation -
d(a + b) = b(c + d)
da + db = bc + bd
da = bc
Cross-multiplying, it is obtained that da = bc, which is true based on the original proportion.
Therefore, this statement is true.
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HELPPP I DONT UNDERSTAND
Answer:
\(\boxed{\bf \angle B = 58^{o}}\)
Step-by-step explanation:
The cyclic quadrilateral sum of the opposite angle is 180°. From the given figure....
\(\bf \angle B + \angle D= {180}^{o} \)
Where....
~\(\bf \angle B = 3x+7\)
~\(\bf \angle D = 6x+20\)
\(\bf 3x+7+6x+20 ={180}^{o} \)\(\bf 9x+27=180^{o}\)\(\bf 9x=180-27\)\(\bf 9x=153\)\(\bf x = \cfrac{153}{9} \)\(\boxed{\bf x=17^{o}}\)Now, that we found x, let's find angle B....
\(\bf \angle \: B = 3x + 3\)\(\bf 3(17) + 7\)\(\bf 58^{o}\)\(\sf Therefore, \: \boxed{\sf \angle B = 58^{o}}\)
Write the word sentence as an inequality a number b is less than 15
the following pair of triangles are similar. find the value of x 10 x x+2 x+14
The numerical value of x in the similar pair of triangle is 10.
What is the numerical value of x?A ratio is simply the relation between two amounts showing how many times a value is contained within another value.
From the diagram,
Side A of the small triangle = 10
Side B of the small triangle = x + 2
Side A of the Big triangle = 10 + x
Side B of the big triangle = x + 14
Hence;
Ratio of Side A to Side B of the small triangle = 10 / x + 2
Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14
Since the triangle area similar, equate the two ratio and solve for x.
10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )
Cross multiply
10( x + 14 ) = ( 10 + x )( x + 2 )
Expand using FOIL method
10x + 140 = 10x + 20 + x² + 2x
10x + 140 = x² + 12x + 20
x² + 12x + 20 = 10x + 140
x² + 12x + 20 - 10x - 140 = 0
x² + 2x - 120 = 0
Factor the left side of the equation
( x - 10 )( x + 12 ) = 0
Hence;
x - 10 = 0 and x + 12 = 0
x = 10 and x = -12
Since the dimension of the triangle cannot be negative,
x = 10
Therefore, the value of x is 10.
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Express 0.bar 36 in p/q form is
Step-by-step explanation:
4/11
please check the image above for confirmation
Answer:
.
Step-by-step explanation:
Express \(\sf0.\overline{36}\) in p/q form
\(\large\underline{\sf{Solution-}}\)
Given that:
\(\longmapsto\sf0.\overline{36}\)
Let this be equal to x.
So,
\(\longmapsto\sf x=0.\overline{36}- - - -(1)\)
Multiplying both side by 100,
\(\longmapsto\sf 100x=36.\overline{36}- - - -(2)\)
Subtracting (2) from (1),
\(\longmapsto\sf 100x-x=36.\overline{36}-0.\overline{36}\)
\(\longmapsto\sf 99x=36\)
So,
\(\longmapsto\sf x=\dfrac{36}{99}\)
Dividing by 9,
\(\sf\longmapsto x=\dfrac{4}{11}\)
Hence,
\(\sf\longmapsto\bf0.\overline{36}=\dfrac{4}{11}\)
List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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sally has 2/8 cookies in a jar she ate 1/4 how many dose she have left :explain
Answer:
1.5 cookies if 2/8 is like 2 cookies out of 8, 1/16 if its like 2/8 of a cookie
Step-by-step explanation: \
1.5: 2 x 3/4 (already ate 1/4) = 1.5
1/16= 1/4 (2/8 reduced) x 1/4
Merrisa is booking a holiday costing £660.
She needs to pay a deposit of of the total cost of the booking
How much does she pay?
The amount of money she will have to pay for booking of the holidays would be = £220
How to calculate the amount ofr deposit?The total amount of money that will cost Merrisa for booking of holidays = £660
The fraction of the total cost that she needs to deposit = 1/3
Therefore, the actual amount that she needs to deposit = 1/3 of £660
= 1/3× 660
= £220
Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.
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What is 10.56 divided by 2.4?
Answer:
10.56÷2.4=4.4
Step-by-step explanation:
studies have proven that smart people, defined as people with high iq scores, are no better job performers, do not earn more money, and are not promoted more often than others. general mental ability and iq are a myth. in particular, research has proven that there is no correlation between iq and job performance
Level of intelligence has had a noticeable impact on developmental and grown-up psychology for a really long time. Without even a trace of a reasonable hypothetical model of inner mental capabilities, in any case, building legitimacy for intelligence-level tests has forever been hard to lay out.
Test legitimacy, along these lines, has forever been aberrant, by corresponding individual contrasts in test scores with what are thought to be different models of intelligence. Work execution has, because of multiple factors, being one such model. Relationships of around 0.5 have been routinely referred to as proof of test legitimacy, and as a defense for the utilization of the tests in developmental examinations, instructive and word-related choice, and research programs on wellsprings of individual contrasts. Here, those relationships are inspected along with the nature of the first information and the numerous remedies expected to show up at them. It is presumed that extensive watchfulness should be practiced in referring to such relationships for test approval.
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On average, 66% of the days in Seattle, Washington, are cloudy or rainy. Describe a model that you could use to simulate this situation.
Since on average, 66% of the days in Seattle, Washington, are cloudy or rainy, a model that could be used to simulate this situation is an experimental probability model of about 2/3.
How to describe a model that you could use to simulate this situation?In this scenario and exercise, you are to required to describe a model that you could be used to simulate a situation in which 66% of the days in Seattle, Washington, are cloudy or rainy on an average.
In this context, we can reasonably infer and logically deduce that the most accurate and feasible model to use would be an experimental probability model of about 2/3;
66% = 66/100 = 33/50 ≈ 2/3.
In conclusion, you should select two (2) red marbles that each represent cloudy or rainy days and one (1) blue marble that represent non-cloudy or non-rainy days, and then pick one marble randomly. Repeat several times in order to determine experimental probability that a day would either be cloudy or rainy.
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The average snail can move 1.81 X 10³ mi in 5 hours. What is its rate of speed in miles per hour?
Answer:
Step-by-step explanation:
How Far Can A Snail Travel In One Hour
If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.
Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.
This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.