A "place value" is just a number containing a decimal point whereby each digit place value equals ten times every place value to its right
Explain the term place value of the number?In mathematics, every digit in an integer does have a place value.
Place value is described as the value conveyed by a digit in a number just on basis of its place in the number.For instance, the place value of 7 for 3,743 is 7 hundreds = 700. Therefore, the place value of 7 for 7,432 is 7 thousands = 7,000. Here, one can see that although if the digits are equal in both numbers, this place value varies with the change in there position.The place value for digits in integers can also be expressed using base-ten blocks and therefore can help us write integers in their expanded form.Thus, a "place value" is just a number containing a decimal point whereby each digit place value equals ten times every place value to its right
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2. based on data from ac nielsen, among households in the united states, the mean number of tv sets is 2.24, with a standard deviation of 1.38. a random sample of 40 households is selected. a. describe the sampling distribution of the sample mean number of tv sets in a sample of 40 households. state the shape of the distribution and check any necessary conditions for that. state the mean and compute the standard deviation (round to 4 decimal places). (6 pts.) b. in a random sample of 40 households, what is the probability that the sample mean is 2.55 or higher? include a sketch. show all work. (8 pts.)
Therefore the mean number of sample of 40 households results in 102 television sets is 2.55 & the probability of that the sample mean is 2.55 or higher is 0.412
What is probability?The likelihood of an event happening is determined by probability. We may need to forecast an event's result in a variety of real-world circumstances. The outcomes of an event may be certain or uncertain to us. In these situations, we state that there is a likelihood that the event will occur or not.
Here,
Given:
mean number of tv sets (n)= 2.24
standard deviation ([tex]{S_d} }[/tex]) = 1.38
sample of 40 households results in 102 television sets so ,
mean number (n') = 102/40 =2.55
its mean number =2.55
the probability that the sample mean is 2.55 or higher
=> Z = [tex]\frac{n^{'}-n }{S_d} }[/tex]
=> Z =(2.55-2.24)/1.38
=>Z = 0.2246
the normal distribution of probability =
P=[tex]\frac{1 *e^{\frac{-1}{2}Z^{2} } }{\alpha \sqrt{2\pi } }[/tex]
P=0.588
therefore P(x<2.55)=0.588
=>P(2.55< x)= 1-0.588=0.412
Therefore the probability of that the sample mean is 2.55 or higher is 0.412
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Without graphing, determine whether the function represents exponential growth or exponential decay.
y = 129(1.63)x
The exponential growth of three sections is given below.
What is exponential growth?Exponential growth means whose growth more rapid in proportion.
An exponential function is of the form , where b is a positive number not equal to 1.
The value of b determines whether tha function is an exponential growth or an exponential decay.
An exponential function is an exponential growth if b > 1 and an exponential decay if b <1.
Given the function= y 4(5/6)^x
B= 5/6 < 1
Therefore, the function is an exponential decay.
Given the function
Therefore, the function is an exponential growth.
Therefore, the function is an exponential growth is y= 129(1.63)^x is an exponential growth.
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How many total atoms are in 1.0 moles of H₂O?
Answer:
Below
Step-by-step explanation:
There are three ATOMS in each MOLECULE H2 O
(two hydrogen one Oxygen)
Each mole of MOLECULES = 6.022 x 10^23
6.022 X 10^23 X 3 = 1.81 x 10^24 atoms
a caterer made a sandwich 6ft6in long for a party. by request, 3ft8in were added to the sandwich. what was the total length of the sandwich?
If a caterer made a sandwich 6feet 6inches long for a party and 3 feet 8 inches added to the sandwich The total length of the sandwich is 122 inches
The height of the sandwich = 6 feet 6 inches
Convert to the inches
We know 1 feet = 12 inches
6 feet 6 inches = 6 × 12 + 6
= 72 + 6
= 78 inches
The height added to sandwich = 3 feet 8 inches
Convert to inches
3 feet 8 inches = 3 × 12 + 8
= 36 + 8
= 44 inches
The new height of the sandwich = 78 + 44
= 122
Therefore, the final height of the sandwich is 122 inches
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To the nearest tenth, what is the BEST estimate of the value of √24?
A 2.4
B 4.1
C 4.9
D 5.1
Answer: C: 4.9
The original answer is 4.8989, so I rounded 8 to the nearest hundredth and got the answer of 4.9. Having a Mathematics calculator also helps with math like this.
The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
A graph titled Wrist Circumference versus Height has wrist circumference (centimeters) on the x-axis and height (centimeters) on the y-axis. Points are at (13.8, 151), (14.2, 151), (15.2, 156), (15.6, 159), (16, 162) and (16, 165).
Is the height of these students a function of their wrist circumference?
Yes because as wrist circumference increases height also increases.
Yes because a line can be fit to these data to predict other pairings.
No because the height of 151 cm is paired with two wrist circumferences.
No because the wrist circumference of 16 cm is paired with two heights.
Option D (No, as there are two heights associated with the wrist circumference of 16 cm.
What is meant by graph?An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is truly equal to its graph.
The wrist circumferences and heights of six kids in Alyssa's class are represented by a collection of points in the graph that is shown.
The height is represented by the y axis, and the wrist circumference by the x axis.
Any relation is referred to as a function if there is only one value of y for any given value of x. The graph is referred to as a function if it passes the vertical line test, which requires that a vertical line be drawn and only touch the graph once.
There are two y values (162 and 165) on the above graph for the x value of x=16.
The graph is not a function as a result.
Among the possibilities The correct response is option D, "No," since the wrist circumference of 16 cm pairs with two heights.
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Label the illustrations based on the Gestalt principles of grouping:
a. closure
b. proximity
c. continuity
d. illusory contours
e. simillarity
Closure is one of the Gestalt principles of grouping which states that elements are perceived as being grouped together if they are near each other and form a closure.
Proximity is another Gestalt principle of grouping which states that elements that are close together are perceived as being related. In the illustration below, the three squares appear to be grouped together because of their proximity to each other.
Continuity is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they are arranged in a continuous line or curve. In the illustration below, the three triangles appear to be grouped together because they are arranged in a continuous line.
Illusory contours is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they create an illusion of a contour or shape.
Similarity is another Gestalt principle of grouping which states that elements are perceived as being related if they have similar characteristics or features. In the illustration below, the two triangles appear to be grouped together because they are the same color and size.
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Solve the following compound inequality.
9x + 6 > 132 and -7x + 19 < -128
The solution of the inequality 9x + 6 ≥ 132 and -7x + 19 < -128 is x ≥ 14 and x > 21.
How to solve compound inequality?Compound inequalities are a type of inequality that has two or more parts.
In other words, a compound inequality is an inequality that combines two simple inequalities.
Therefore, let's solve the compound inequality as follows:
9x + 6 ≥ 132 and -7x + 19 < -128
Let's solve them independently.
9x + 6 ≥ 132
subtract 6 from both sides of the inequality
9x + 6 ≥ 132
9x + 6 - 6 ≥ 132 - 6
9x ≥ 126
divide both sides by 9
x ≥ 126 / 9
x ≥ 14
-7x + 19 < -128
subtract 19 from both sides of the inequality
-7x + 19 - 19 < - 128 - 19
-7x < - 147
divide both sides by - 7
x > - 147 / -7
x > 21
Therefore, the solution is x > 21 and x ≥ 14
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cs 2050 has 9 recitation sections. 6 of the recitation sections are led by a pair of tas, and 3 recitation sections are led by a trio of tas. there are also 5 tas who do not teach recitation. how many ways are there to line up all of the tas such that each ta with recitation partner(s) is standing next to them?
504 ways are there to line up all of the tas such that each tas with recitation partner(s) is standing next to them
Given :
cs 2050 has 9 recitation sections. 6 of the recitation sections are led by a pair of tas, and 3 recitation sections are led by a trio of tas. there are also 5 tas who do not teach recitation.
Number of ways = 9P6 * 9C3 * 1 / 5!
= 9! / ( 9 - 6 ) ! * 9! / ( 9 - 3 ) ! * 1 / 5!
= 9! / 3! * 9! / 6! * 1/5!
= 9 * 8 * 7 * 6 / 3 * 2 * 9 * 8 * 7
= 9 * 8 * 7
= 504 ways
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the number of telephone lines in each country in central america and the caribbean is shown above in a dot plot. the number of telephone lines in each country has been rounded to the nearest 250250250 thousand. according to the dot plot, what is the median number of telephone lines in thousands?
The median number of telephone line in thousands is 0
The number of telephone lines in each country = 250000
From the given dot plot
The data set will be
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 250, 250, 250, 250, 250, 500, 750, 750, 1000, 1000, 1250, 1750
The median of the data set is the middle term of the ordered data set. The order of the data set maybe ascending or descending order
There are 28 terms in the data set the middle terms will be 14th and 15th
Both 4th and 15 terms are 0
Therefore, the median is 0
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Mei Mei spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.2°F. Between 9am and noon, the temperature rose 1.9°F. Between noon and 3pm, the temperature dropped 16.4°F. Between 3pm and 6pm, the temperature dropped 15.5°F. What was the temperature at 6pm?
The temperature at 6 pm is given as follows:
-40.2 ºF.
How to obtain the temperature at 6 pm?To obtain the temperature at 6 pm, we keep looking at the temperature for each interval given in the problem.
At 9 am, the temperature is given as follows:
-10.2ºF.
Between 9am and noon, the temperature rose 1.9°F, hence the temperature at noon is given as follows:
-10.2 + 1.9 = -8.3ºF.
Between noon and 3pm, the temperature dropped 16.4°F, hence the temperature at 3 pm is given as follows:
-8.3 - 16.4 = -24.7ºF.
Between 3pm and 6pm, the temperature dropped 15.5°F, hence the temperature at 6 pm is given as follows:
-24.7 - 15.5 = -40.2 ºF.
(subtracting the decline from the previous temperature, as we did for previous intervals).
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Lawson planted a tree when it was 14 inches tall and it will grow 3 inches per year. Ezra planted a tree when it was 8 inches tall and it will grow 5 inches per year. Determine how many years it will take for the trees to be the same height. Person right gets brainlyest
Answer:
3 years
Step-by-step explanation:
Let x = number of years, and let y = height at x years.
Lawson:
Initial height: 14
Annual growth: 3
equation: y = 3x + 14
Ezra:
Initial height: 8
Annual growth: 5
equation: y = 5x + 8
We want to know the number of years, x, when the heights are equal.
y = y
3x + 14 = 5x + 8
-2x = -6
x = 3
the ________ function does the same thing as using the mathematical operator.
The power or pow() function achieves the same result as the operator "^" in mathematics.
The power of an integer is calculated using the pow() function. The power raised to the base number is returned by the pow() function, which takes two parameters (the base value and the power value). This is denoted by "^". This function in computer programming helps to determine the value of an integer raised to a certain power. This is written as,
pow = power = ^ (Power operator)
In mathematics, it also helps to calculate the number raised to power. For instance, 3^2 = 3²=9. The blank can be filled with the pow() function.
The complete question is -
The ________ function does the same thing as using the mathematical ^ operator.
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find the percentage change of the first quantity with
reference to the second quantity: 480 units, 560 units.
The percentage change of the first quantity with reference to the second quantity: 480 units, 560 units is: -14.29%.
How to find the percentage change?First step is to find the difference between the two numbers
Difference = New Number - Original Number
Difference = 480 -560
Decrease = -80
Now let find the percentage change
Percentage change = Decrease / Original Number × 100
Percentage change = -80 /560 × 100
Percentage change = -14.29%
Therefore we can conclude that the percentage change is -14.29%.
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a container weighs 5kg when empty but weighs 13kg and 25kg when it is completely full of water what is the weight of the water it is one-quarter inside the container when it is one-quarter filled with water
Answer:
10 kg is indeed the answer as given by Dr. Mani. Let us see how that comes. 30 kg minus 26 kg = 1/5 of water. So, weight of water = 5 times 4 = 20 kg.
Step-by-step explanation:
Answer:
if it filled 25 kg it the one qurter will be 9
Step-by-step explanation:
because to know the weight when it is filled =(25-5)=20kg .
now,
the first quarter =20÷4+4=9kg
find the flux of f = xy i yz j zxk out of a sphere of radius 6 centered at the origin.
The flux = 0
Divergence Theorem: What is it?According to the divergence theorem, the volume integral of the divergence of a vector point function "F" taken over the volume "V" encompassed by the surface "S" is equal to the surface integral of the normal component of F taken over the closed surface "S." As a result, the divergence theorem is symbolically represented as:∬ v ∫ ▽ F → .
The sphere is presumably closed, so we can use the divergence theorem.
▽ F =d(xy)/dx + d(yz)/dy + d(zx)/dz
▽ F =x + y + z
Now convert to spherical coordinates:
x=ρsinφcosθ,
y=ρsinφsinθ,
z=ρcosφ
The flux is then given by the volume integral for the radius 6
[tex]\int\limits\int\limitsx_{x^{2} +y^{2}+z^{2} = 36 }[/tex] f.ds = [tex]\int\limits\int\limits\int\limitsx_{x^{2} +y^{2}+z^{2} < =36 }[/tex] (x+y+z) dv
Thus the flux = 0
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How are the rational and radical related?
Any expression that contains the square root of a number is a radical expression it was in my DoNow but I got this wrong so my teacher told me it was this .
An isosceles triangle has side lengths of 3x, (4x − 7), and (1/2x+9)
Write an expression in
simplest form to represent the perimeter of the triangle. (Show your work on another paper)
The perimeter of the isosceles triangle with side lengths 3·x, (4·x - 7), and (1/2·x + 9) is 51[tex]\frac{1}{14}[/tex]
What is an isosceles triangle?An isosceles triangle is a triangle that has a pair of congruent sides and according to the triangle inequality theorem, a pair of congruent angles.
The lengths of the sides of the isosceles triangle are;
3·x, 4·x - 7, and 1/2·x + 9
Let the sides, 3·x and 4·x - 7 represent the congruent sides of the triangle, we get;
3·x = 4·x - 7
4·x - 3·x = x = 7
x = 7
The length of the sides of the triangle, found by plugging in x = 7 in the specified expressions for the lengths of the sides of the triangle are therefore;
Length of the first side; 3·x = 3 × 7 = 21
The length of the second specified side; 4·x - 7 = 4 × 7 - 7 = 21
Length of the third specified side; (1/2×x) + 9 = (1/(2 × 7)) + 9 = 1/14 + 9
The perimeter of the triangle is the sum of the lengths of the sides of the triangle, therefore;
The perimeter of the triangle is; 21 + 21 + 1/14 + 9 = 51 [tex]\frac{1}{14}[/tex]
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in a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8 if we want to test at the 5% level of significance that the population variances differ, what is the value of the test statistic?
The value of the test statistic is 0.711, for the test at the 5% level of significance that the population variances differ in a random sample of 20 patients.
Since the information given to us is from a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8, and tested at the 5% level of significance that the population variances differ. The test statistic for this problem is calculated using the F-test. The formula for the F-test is:
F-test = (variance of sample 1) / (variance of sample 2). Therefore, the test statistic for this problem is F-test = 128.0 / 178.8 = 0.711.
To determine the p-value, we need to look up the F-distribution with (df1 = 20-1 = 19, df2 = 15-1 = 14) at a significance level of 5
%. The p-value is 0.347. Therefore, at a 5% level of significance, the test statistic is 0.711 and the p-value is 0.347. We cannot reject the null hypothesis that the population variances are equal.
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If t= 9 m, what is the area of the triangle?
71
Enter the answer in the box
Answer: 1134 m^2
Step-by-step explanation:
First, you would plug in "9" to replace the variable. It would be 7(9) and 4(9). Parenthesis means multiplication.
Then, you would multiply. 7 x 9 = 63, 4 x 9 = 36
The area of a triangle is bh/2. So, 63x36=2268, 2268/2=1134.
I believe the answer is 1134 m^2.
How do you divide 56.87 by 14 with explanation?
The coordinates of point A are (-3a,4b). If point A' is the image of point A reflected over the line y = x, what
are the coordinates of A?
Answer: (4b, -3a)
Reason:
When reflecting over the line y = x, we swap the positions of the x and y coordinates.
The reflection rule is [tex](\text{x},\text{y}) \to (\text{y},\text{x})[/tex]
As an example: [tex](2,3) \to (3,2)[/tex]
The variables for this experiment include temperature, surface area, and the time required for the reaction to be completed. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. The independent variables, the ones that are intentionally manipulated, are. The dependent variable, the one that you measure the response in, is.
The independent variables, the ones that are intentionally manipulated, are temperature and surface time.
The dependent variable, the one that you measure the response in, is the reaction time.
The physical concept of temperature indicates in the numerical form how hot or cold something is. Temperature is measured with a thermometer.
Thermometers are calibrated in numerous temperature scales that historically have depended on various reference factors and thermometric materials for definition. The most common scales are the Celsius scale with the unit image °C (previously referred to as centigrade), the Fahrenheit scale (°F), and the Kelvin scale (okay), the latter being used predominantly for clinical functions. The kelvin is one of the seven base units within the worldwide machine of gadgets (SI).
Absolute zero, i.e. 0 kelvin or −273.15 °C, is the bottom factor within the thermodynamic temperature scale. Experimentally, it can be approached simplest very intently, however, no longer genuinely reached, as diagnosed in the 0.33 law of thermodynamics. it'd be not possible to extract power as the warmth from a body at that temperature.
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What is 11/32 - 2/8?
Answer:
= 3/32
Step-by-step explanation:
What is 11/32 - 2/8?
11/32 - 8/32 = 3/32
whats the probabilty tha leahs first flight was delayed
The probability that her first flight was delayed exists 0.975.
What is meant by probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.
Let event that First flight on time be denoted as OT and event that a flight exists delayed be D;
P(OT) = 0.15 and P(D) = 1 - P(OT) = 1 - 0.15 = 0.85
Let event that Luggage will make connecting flight be L and that it won't make it be L',
Given that there is a 0.95 chance that luggage will arrive on time, this is a conditional probability and can be expressed as follows:
P(L/OT) = 0.95 and also P(L/D) = 0.65
From this P(L'/OT) = 1 - P(L/OT) = 1 - 0.95 = 0.05
and P(L'/D) = 1 - P(L/D) = 1 - 0.65 = 0.35
The question is asking for the probability that the first flight was delayed (D) provided that her Luggage was not there (L').
Let the equation of conditional probability be;
P(D/L') = P( D and L')/ P(L')
P(D and L') = P(D) × P(L'/D) = 0.85 × 0.35 = 0.2975
P(L') = P(OT) × P(L'/OT) + P(D) × P(L'/D)
= 0.15(0.05) + 0.85(0.35)
= 0.305
P(L/OT) = 0.297/0.305
= 0.975
Therefore, the probability that her first flight was delayed is 0.975.
The complete question is:
Leah is flying from Boston to Denver with a connection in Chicago. The probability her first flight is on time is 0.15. If the flight is on time, the probability that her luggage will make the connecting flight in Chicago is 0.95, but if the first flight is delayed, the probability that the luggage will make it is only 0.65.
Question: Suppose you pick up Leah in Denver and her luggage is not there.
What is the probability that her first flight was delayed?
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solving systems by Substitution
x-4y=15=3x-12y=12
Answer:
There is no solution
Step-by-step explanation:
x - 4y = 15
3x -12y = 12
Times the first equation by -3
-3x +12y = -45
3x - 12y = 12
0 = -33
So, there is no solution.
Which of the following number lines represents the solution to the inequality 4x + 10 < 6?
The solution to the inequality 4x + 10 < 6 is x < -1.
What is the solution to the given inequality?Given the inequality;
4x + 10 < 6
Solve for x.
Move all terms not containing x to the right side of the inequality by subtracting 10 from both sides of the inequality.
4x + 10 < 6
4x + 10 - 10 < 6 - 10
4x < 6 - 10
Subtract 10 from 6
4x < -4
Divide each term by 4 and simplify
4x < -4
4x/4 < -4/4
Simplify the left-hand side
x < -4/4
Simplify the right-hand side
x < -1
The result in inequality form is x < -1.
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does the data provide sufficient evidence to conclude that the number of errors in auditing technique a is greater than the number of errors in auditing technique b at the 0.1 level of significance? select the [rejection region, decision of reject (rh0) or failure to reject (frh0)]. (hint: the samples are dependent)
Therefore ,we reject the null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0
What is standard deviation ?The square root of the variance is used to calculate the standard deviation, a statistic that gauges a dataset's dispersion from its mean. The standard deviation, which is proportional to the square root of variance, is calculated by comparing the variance of each data point to its mean.
Here,
The null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0
Alternate hypothesis , [tex]H_{A}[/tex]= [tex]u_{d}[/tex] ≥ 0
thus,
[tex]d^{'}[/tex]=(14 + 11 + 7 + 11 -2 + 5 + 0 +5)/9
[tex]d^{'}[/tex]=4.44
[tex]S_{d}[/tex]=6.747
t=[tex]\frac{d^{'}-D}{\frac{S_{d}}{\sqrt{n} } }[/tex]
Putting values in above equation
[tex]d_{f}[/tex]=9-1=8
α=0.10 => t(0.1,8)
t=[tex]\frac{d^{'}-D}{\frac{S_{d}}{\sqrt{n} } }[/tex] = 1.397
Therefore ,we reject the null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0
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please help me do this I've been stuck for over an hour
Find the missing length indicated. Leave your answer in simplest radical form.
when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.
so the longest leg of the larger triangle will be "z" and the shorter leg of it will be "y", so let's find those fellows using proportions
[tex]\cfrac{x}{16}=\cfrac{9}{x}\implies x^2=144\implies x=\sqrt{144}\implies \boxed{x=12} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y}{x}=\cfrac{25}{16}\implies \cfrac{y}{12}=\cfrac{25}{16}\implies y=\cfrac{(12)(25)}{16}\implies \boxed{y=\cfrac{75}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y}{z}=\cfrac{9}{x}\implies \cfrac{~~ \frac{75 }{4 } ~~}{z}=\cfrac{9}{12}\implies \cfrac{75}{4z}=\cfrac{3}{4}\implies 300=12z \\\\\\ \cfrac{300}{12}=z\implies \boxed{25=z}[/tex]
The shadow of the moon during a solar eclipse travels 2300 miles in 1 hour in the first 20 minutes the shadow traveled 7662/3 miles how long does it take for the shadow to travel 1150 miles
The time that it will take for the shadow to travel 1150 miles is; 30 minutes
How to solve linear equations?Let y represent the distance in miles
Let x represent the time in minutes
The shadow travels 2300 miles in 1 hour or 60 minutes and in the first 20 minutes the shadow traveled 766 ²/₃ miles or 2300/3 miles
Thus, the coordinates are;
(60, 2300) and (20, 2300/3)
The slope is;
m = (2300 - 2300/3)/(60 - 20)
m = 115/3 mi/min
Thus, the linear equation in point slope form is;
y - 2300 = (115/3)(x - 60)
This gives;
y = (115/3)x
When y = 1150 miles, we have;
1150 = (115/3)x
x = 30 minutes
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