D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.
What are positive and negative co-relations?When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.
When two variables move in opposition to one another—that is, when one rises, the other falls, this is known as a negative correlation.
Given, A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades.
No, Because it is possible that the student gets lower test grades because of another factor, such as not studying.
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There are 3 black markers in a bin. Given the probability that a marker selected at random is black, how many markers are in the box? (use only the digits 0 - 9 to write the value. ).
There are total 18 markers in the box.
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -
P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
Given is that there are 3 black markers in a bin. The probability that a marker selected at random is black is -
P(black marker) = 1/6
Assume that there are [x] markers in the box. Then, we can write -
P(black marker) = 3/x
1/6 = 3/x
x = 18
Therefore, there are total 18 markers in the box.
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Find the equation of the linear function g that ha g(10)=5 and that i parallel to q(r)=−19/5r6
The linear equation for g is g(r)= (19/5)r - 33.
Parallel lines have the same slope. Therefore, line g(10)=5 and line q(r)=19/5 r+6 have the same slope of 19/5.
Apply slope m=19/5, and point (r=10, g=5) to line function g, we will find the y-intercept of the linear function g :
5 = 19/5 * 10 + b
solving for b we get,
b=-33
Substitute m=19/5 and b=-33 to slope-intercept form of the g function for the linear function we are looking for:
g(r)= (19/5)r - 33
Therefore, the linear function of g is g(r)= (19/5)r - 33
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in a survey, the planning value for the population proportion is 0.35. how large a sample should be taken to provide a confidence interval with a margin of error of ? round your answer up to the next whole number.
The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.
According to the statement
We have to find that the sample should be taken to provide a confidence interval with a margin of error.
For this purpose, we know that the
The confidence interval is the probability that a population parameter will fall between a set of values for a certain proportion of times.
And
With the given information
In the survey as
p* = 0.35
confidence interval=95%
E=margin of error = 0.05
and then
[tex]a=(\frac{z}{E} )^{2} *pq[/tex]
and substitute the values
[tex]a=(\frac{1.96}{0.05} )^{2} *0.35*0.65[/tex]
then the sample is 350.
So, The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.
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What are 2 things you know about this image???
Answer:
At the beginning, the object has zero speed, and then it begins to accelerate. After accelerating for a time, the object stops accelerating, and its speed remains constant.
The length of a certain insect is 7/8 inches. What is length of the tail if it's half the insects total length
Answer:
7/16 inches or 0.4375 inches
Step-by-step explanation:
Length of insect (L) = 7/8 inches
According to question,
Length of tail = 1/2 of L
= 1/2 * 7/8
= 7/16 inches or 0.4375 inches
Three of five baseketball players scored more than 10 points. What percent of the players scored more than 10 points?
60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Three of the five basketball players scored more than 10 points.
Total number of basketball players = 5
The number of players who scored more than 10 points = 3
In fraction:
= 3/5
= 0.6
To convert the above fraction into the percentage multiply it by 100:
= 0.6x100
The percent of the players scored more than 10 points = 60%
Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.
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james has oennies nickels and dimes in his ban he has more that 1.60 and less than 2.00 uin the band there are 5 times as many pennies as dimes there is an equal number of nuckles and imes what is the exact amount of money in his bank
The exact amount of money in his bank is $ 1.8.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question=
Let "p" be the number of penniesLet "d" be the number of dimesLet "n" be the number of nickelsGiven that,
There are 5 times as many pennies as dimes
Number of pennies = 5 times the number of dimes
p = 5d ----------- eqn 1There is an equal number of nickels and dimesn = d -------- eqn 2We know that
value of 1 dime = 0.10 dollarvalue of 1 nickel = 0.05 dollarvalue of 1 penny = 0.01 dollarThe total value of coins is:total value = d(0.10) + n(0.05) + p(0.01)Substitute eqn 1 and eqn 2total value = d(0.10) + d(0.05) + 5d(0.01)total value = 0.2dGiven that he has more than $1.60 and less than $2.00 in the bank
Therefore, 0.2d must be greater than 1.60 and less than 2.00
Try for d = 8total value = 0.2 x 8 = 1.6But value must be greater than 1.6Try for d = 9total value = 0.2 x 9 = 1.8Thus 1.8 is greater than 1.60 and less than 2.0
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please help! I’m struggling
Answer: C
Step-by-step explanation:
If you look at the picture, you can see that it is decreasing from hour 3 to hour 4.
This means that from 3 < x < 4, it is decreasing.
Somone please explain how to answer these two questions!
Answer:
b and c
Step-by-step explanation:
Like terms are numbers that have the same variable and/or exponent. You can combine them to simplify equations.
3x+2x+3y-7y=5x-4y
3x and 2x are like terms because they share a variable of x. You can add them which gives you 5x. 3y and -7y are also like terms so they can be combined to make -4y.
2x+1+7x=9x+1
2x and 7x are like terms so they can be added for a sum of 9x.
if measurements are made on four different days, find the level such that there is probability only 0.02 that the mean glucose level of four test results falls above for shelia's glucose level distribution. what is the value of ?
For the value of L = 144.48, the probability of having L greater than the mean glucose level of Shelia is 0.02.
Here it is given that Sheila's glucose level follows a normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl
L is the patient's blood test level.
It is given that the probability that the mean glucose level i.e 128 mg/dl is above L is 0.02.
We need to find L
We know
P(128>L) = 0.02
or, 1 - P(128 ≤ L) = 0.02
or, P(128 ≤ L) = 0.98
We know that for any Normal distribution we find the probability by converting it to standard form and then checking the p-value.
P(X < x) = Φ[(x - μ)/σ]
where,
μ = mean
σ = standard deviation
Therefore,
Φ[(L - 128)/8] = 0.98
we see that for a Z score of 2.06,
Therefore we get
(L - 128)/8 = 2.06
or, L - 128 = 16.48
or, L = 128 + 16.48
= 144.48
Therefore, the value of L would be 144.48
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Complete Question
Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl. Let L denote a patient's glucose level.
If measurements are made on four different days, find level L such that there is a probability of only 0.02 that the mean glucose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L?
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How do confidence intervals tell you whether your results are statistically significant?.
It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.
Confidence Interval;
In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.
Therefore,
The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0
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1. MGSE8.G.6: Which set of side lengths cannot form a right triangle? Choose all that apply.
A. 24 mm, 32 mm, 40 mm
B. 27 mm, 35 mm, 46 mm
C. 7 mm, 24 mm, 25 mm
D. 6 mm, 8 mm, 10 mm
E. 12 mm, 16 mm, 20 mm
F. 12 mm, 34 mm, 37 mm
The following are the sets which cannot form a right triangle:
b. 27 mm, 35 mm, 46 mm
f. 12 mm, 34 mm, 37 mm
Given,
Here some set of lengths given. We have to find which set of lengths can not form a right triangle.
To check whether it is a right triangle or not we will use Pythagoras theorem. If it holds true then the set will form a right triangle and if it is not true then it will not form a right triangle.
The pythogaras theorem is c²=a²+b²,where c = hypotenuse which is the largest length of the sides, a and b are other two sides.
a. 24 mm, 32 mm, 40 mm
c = 40 mm as it is the largest side.
substitute the values:
40² = 24² + 32²
1600 = 576 + 1024
1600 = 1600
The Pythagoras theorem holds true here. So this set will form a right angled triangle
b. 27 mm, 35 mm, 46 mm
c = 46 mm as it is the largest side.
substitute the values:
46² = 27² + 35²
2116 = 729 + 1225
2116 = 1954
The Pythagoras theorem does not hold true here. So this set will not form a right angled triangle.
c. 7 mm, 24 mm, 25 mm
c = 25 mm as it is the largest side.
substitute the values:
25² = 7² + 24²
625 = 49 + 576
625 = 625
The Pythagoras theorem holds true here. So this set will form a right angled triangle
d. 6 mm, 8 mm, 10 mm
c = 10 mm as it is the largest side.
substitute the values:
10² = 6² + 8²
100 = 36 + 64
100 = 100
The Pythagoras theorem holds true here. So this set will form a right angled triangle.
e. 12 mm, 16 mm, 20 mm
c = 20 mm as it is the largest side.
substitute the values:
20² = 16² + 12²
400 = 256 + 144
400 = 400
The Pythagoras theorem holds true here. So this set will form a right angled triangle.
f. 12 mm, 34 mm, 37 mm
c = 37 mm as it is the largest side.
substitute the values:
37² = 12² + 34²
1369 = 144 + 1156
1369 = 1300
The Pythagoras theorem does not hold true here. So this set will not form a right angled triangle.
Hence we get the required answers.
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Manny and Ada pool their money from a fundraiser. Manny raised 7 dollars less than twice what Ada raised.
Manny made $45 more than Ada. If the amount that Ada raised is represented by a then which of the following equations correctly models the information given?
During the fundraiser, Ada made $52.
How would you define a fundraiser?
An occasion for raising money for a cause, charity, or non-profit group is known as a fundraising event (also known as a fundraiser).
Which one has two variables in a linear equation?
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.
Given specifications:
We must approach this issue methodically if we are to find a solution.
Let Manny's fundraising total equal M.
Ada's fundraising total = A
Let's now proceed sentence by sentence through the issue and explain it algebraically;
Ada raised more money ($7) than Manny did.
Algebraically;
M = 2A - 7 ——- (I)
Ada earned $45 less than Manny did.
M = A + 45 ——- (II)
Now that two equations have been established, we may equalize them and find A;
2A - 7 = A + 45
2A - A = 45 + 7
A = 52
During the fundraiser, Ada made $52.
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A circular arc has measure and is intercepted by a central angle of radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.
A circular arc has measure and is intercepted by a central angle of radians.
The radius (r) of circle is 1.91 m
Here given data :
• circular arc (s) = 5 cm
• Angel (A) = 5π/6
We know that the following formula is,
Length arc = radius × angel
=> Radius (r) = Length / angel
=> Radius (r) = 5 m / (5π /6)
=> Radius (r) = ( 5 × 6 / 5π ) m
=> Radius (r) = 6/π m
=> Radius (r) = 1.91 m
Therefore, radius of the circle is 1.91 m.
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If 15 sheet of chart paper is 250 gms, how many will weigh 3kg
Answer:
180
Step-by-step explanation:
sheet : grams
15 : 250
x : 3000
3000*15 = 250x
45000 = 250x
45000/250 = x
x = 180
The equation P=3s represents the perimeter P of an equilateral triangle with side length s. What is the perimeter of an equilateral triangle with side length 6 mi ?
The Perimeter of equilateral triangle with side length 6 mi is given by 18 meter.
Given the equation is, P = 3s
where P is the perimeter of equilateral triangle with side length of s.
Now given that the side length of triangle is 6 mi.
So, s = 6 mi
Thus, the perimeter of such triangle is, P = 3*6 = 18 mi.
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what is Segment Addition Postulate
The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC. See Diagram 1 to gain a clearer understanding of this postulate definition.
Remember that a line segment is part of a line bound by two clear end points. It is comprised of a bunch of points between those two end points.
An easier way of stating the segment addition postulate is that if point B lies on line segment AC, then AB + BC will equal AC. That seems pretty simple, does it not?
geometry parallelogram prac.
Answer: Sir would you like me to give you an example to this or answers??
Step-by-step explanation:...
Of all the bolts in a box, 1% are defective. There are 62 defective bolts.
How many bolts in total are in the box
The bolts in total are in the box is 6200
How do percentages work?
percentage is a relative number that is used to represent hundredths of any quantity. Since one percent (1%) equals one hundredth of something, 100 percent denotes the entire amount, and 200 percent denotes twice the amount mentioned.
What use does % serve?
The easiest approach to use percentages is to compare two amounts while setting the second amount's base to 100. Assume for the moment that we are interested in the percentage of women who are working.
Based on the given conditions, formulate: 62 x 100/1
Divide a fraction by multiplying its reciprocal:62 x 100
get the result:6200
Answer: 6200
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Seth's third goal is to join some friends on a trip to see a skateboarding show. The cost of the trip will be $350. How many hours will Seth need to work to afford the trip?
Answer:
is there any other parts to this question if so please give so i can solve
Step-by-step explanation:
Select the number that would make this statement true: 542.9 ÷ ________ = 5.429
Answer:
The correct answer would be 100.
Step-by-step explanation:
542.9 divided by 5.429, would be 100.
Therefore, the correct answer is 100.
Answer:
100
Step-by-step explanation:
[tex]\frac{542.9}{5.429}[/tex] = 100
Check
[tex]\frac{542.9}{100}[/tex] =
Jessica bought 5 yards of fabric, plus 20% extra fabric. Derek bought 3 yards of fabric, plus 25% extra. Who bought more fabric? How much more?
bill has three one-piece jump suits, five pairs of work pants, and eight work shirts. he either wears a jump suit, or pants and a shirt to work. how many different possible outfits does he have?
He have 48 different possible outfits to wear at work with three one-piece jump suits, five pairs of work pants, and eight work shirts.
What is counting principle?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n ways to carry out both of these actions if there are n ways to perform one action and m ways to perform another action after that.
Here,
5 pants with each of 8 shirts,
=5 x 8
=40 combinations of shirts and pants.
40 shirt/pants outfits + 8 jumpsuits = 48 total outfits.
With three one-piece jumpsuits, five pairs of work pants, and eight work shirts, he has 48 different work-appropriate outfit options.
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What is the y-intercept of the line 6x – 9y = 18?
(0, -2)
(0, 3)
(3, 0)
(-2, 0)
Answer:
(0, -2)
Step-by-step explanation:
What is the y-intercept of the line 6x – 9y = 18?
(0, -2)
(0, 3)
(3, 0)
(-2, 0)
You need to solve for y:
6x – 9y = 18
6x – 9y - 6x = 18 - 6x
– 9y = 18 - 6x
– 9y/-9 = 18/-9 - 6x/-9
y = - 2 + 2/3x
or:
y = 2/3x - 2
y-intercept is: (0 , -2)
Answer:
(0, - 2 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
6x - 9y = 18 ( subtract 6 from both sides )
- 9y = - 6x + 18 ( divide through by - 9 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with y- intercept c = - 2 , that is (0, - 2 ) in coordinate form
On the coordinate grid draw the graph of y=2x-3
Use the value of x from -2 to +2
Answer:2x
Step-by-step explanation:
What is the 41st term of the sequence 8, 10, 12, 14,... ?
88
41
322
90
Answer:
Step-by-step explanation:
We will find the 41st term of the given arithmetic sequence is equal to 88.
Denity i meaured in unit of ma per unit of volume. It can be thought of a a unit rate. The ma off a block of aluminum i 9. 45 gram. The volume i 3. 5 cubic centimeter. What i the denity of the aluminum?
The density of the metal will be 2700 kilograms per cubic meter.
The quantity of molecules in a given volume is referred to as density. Kg/m2 is the unit of measurement for density. density is a scalar quantity. Higher densities result in more molecules being present in a given volume. After that, the density is given as,
Volume / Mass equals density.
A chunk of metal weighs 9.45 grams. 3.5 cubic centimeters of volume.
The density of the aluminum is then specified as,
D = 9.45 / 3.5
In grams per cubic centimeter, D = 2.7.
2700 kilograms per cubic meter is the same as D.
The density of the aluminum will be 2700 kilograms per cubic meter.
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Which expression is equivalent to startroot startfraction 1 minus cosine (10 x) over 2 endfraction endroot? cos(5x) cos(20x) sin(5x) sin(20x)
[tex]\sqrt{1-cos(10x)/2}[/tex]The expression is equivalent to sin(5x)
Given that,
start root start fraction 1 minus cosine (10 x) over 2 end fraction end root which means [tex]\sqrt{1-cos(10x)/2}[/tex]
To find : The equivalent expression to the equation [tex]\sqrt{1-cos(10x)/2}[/tex] --> (1)
We know that,
From trigonometry,
Half angle formula
What is the value of 1 cos 2x? The expression 1 - cos2x is written as 1 - cos2x = 2sin2x. This makes it possible to recognize trigonometric identities. These are the phrases that enable you to discover a precise response to your query.
1−cos2x=2sin²x and
Similarly,
1−cosx=2sin²(x/2)
Then
1-cos10x = 2sin²(5x)
Substitute above expression in (1)
Then,
[tex]\sqrt{1-cos(10x)/2}[/tex] = [tex]\sqrt{2sin^2(5x)/2}[/tex]
= [tex]\sqrt{sin^2(5x)}[/tex]
= sin(5x)
Therefore, [tex]\sqrt{1-cos(10x)/2}[/tex] is equivalent to sin(5x)
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Solve 3a + 4 = 39 - 2a
a =
Each month working in a sales job, you earn $4300 plus $250 for every big client, c, you sign. However, there is a $400 penalty for every client, x , whose business you lose for the company. Write an expression to represent your monthly earnings
The expression to represent your monthly earnings would be 4550x - 400y.
What are the linear equations in two variables?
A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equations.
Let the number of clients signed be 'x' and the number of clients whose business lose for the company be 'y'.
For each client signed company will earn = $4300 + $250
and for every client, y, whose business you lose for the company the penalty would be = $400
So we can prepare the equation for total monthly earning as
Monthly earning = (4300 + 250)x - (400)y
= 4550x - 400y.
Hence, the expression to represent your monthly earnings would be
4550x - 400y.
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