Answer:
An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.
See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?
July 10 book Science up55 down8
AA BB
CC DD
Step-by-step explanation:
please helpppp As soon as possible
Answer: 4 pairs
Step-by-step explanation:
121-16=105. However, 121 can be made by squaring -11 or 11. 16 can be made by squaring 4 or -4. Thus, the choices are 11,4 11,-4 -11,4 -11,-4
Given: y ll z
Prove: m25+ m2 2 + m26 = 180°
L
A
M
1
2
3
y
4
5
6
7
Z
С
B
Assemble the proof by dragging ties to
the Statements and Reasons columns.
Answer:
As per the properties of parallel lines and interior alternate angles postulate, we can prove that:
[tex]m\angle 5+m\angle 2+m\angle 6=180^\circ[/tex]
Step-by-step explanation:
Given:
Line y || z
i.e. y is parallel to z.
To Prove:
[tex]m\angle 5+m\angle 2+m\angle 6=180^\circ[/tex]
Solution:
It is given that the lines y and z are parallel to each other.
[tex]m\angle 5, m\angle 1[/tex] are interior alternate angles because lines y and z are parallel and one line AC cuts them.
So, [tex]m\angle 5= m\angle 1[/tex] ..... (1)
Similarly,
[tex]m\angle 6, m\angle 3[/tex] are interior alternate angles because lines y and z are parallel and one line AB cuts them.
So, [tex]m\angle 6= m\angle 3[/tex] ...... (2)
Now, we know that the line y is a straight line and A is one point on it.
Sum of all the angles on one side of a line on a point is always equal to [tex]180^\circ[/tex].
i.e.
[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex]
Using equations (1) and (2):
We can see that:
[tex]m\angle 5+m\angle 2+m\angle 6=180^\circ[/tex]
Hence proved.
Answer: yes
Step-by-step explanation: yes
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temperature should remain constant over time. What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly?
a.positive
b.zero
b.negative
c.undefined
Answer:
B. zero
Step-by-step explanation:
If the temperature is supposed to remain constant over time (the same) when working properly, then this means that there is no increase or decrease over time.
If there were a line to represent this, then it would be a straight line with a slope of 0 because the temperature would remain the same.
4 − –5f = –66 f = _______
Answer:
f = -14
Step-by-step explanation:
given:
4 − (–5f) = –66
4 + 5f = -66 ( subtract 4 from both sides)
5f = -66 - 4
5f = -70 (divide both sides by 5)
f = (-70) / 5
f = -14
Cereal costs 2.79 for 16.4 ounces. At this rate how much does 25 ounces of cereal cost? Round to the Nearest Cent.
Answer:
$4.25
Step-by-step explanation:
We can create a proportion to find how much 25 oz will cost:
[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]
We can cross multiply to find x.
16.4x = 69.75
x = 4.25
So, this means 25 ounces of cereal will be $4.25
• A researcher claims that the average wind speed in a certain city is 8 miles per hour. A sample of 32 days has an average wind speed of 8.2 miles per hour. The standard deviation of the population is .6 miles per hour. At 5% level of significance is there enough evidence to reject the claim?
Answer:
Not reject null hypothesis since the p value is greater than 0.05
Step-by-step explanation:
We have the following:
z = (x ^ -m) / (sd / n ^ (1/2))
Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:
z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89
P (x> 8.2) = P (z> 1.89)
P (x> 8.2) = 1 - P (z <1.89)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) = 0.0287
since this is a two tailed test, the area of 0.0287 must be doubled the p value
the p value = 0.05794
Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05
The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
Step-by-step explanation:
The answer is 56.
Answer:
The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.
Step-by-step explanation:
edge
How can you write arithmetic and geometric sequences using recursive and explicit formulas modeled in a real world context?
Answer:
The answer is below
Step-by-step explanation:
They would be written like this:
Arithmetic Progression:
Explicit formula
Tn = a + (n-1) * d
Recursive formula
Tn = Tn-1 + d
Where a is the first term, d is the common differance and n is the number of terms.
Geometric Progression:
Explicit formula
Tn = a * r ^ (n-1)
Recursive formula
Tn = Tn-1 * r
Where r is common ratio
Question 1 of 16,
The area of a trapezoid is 189 cm . The height is 14 cm and the length of one of the parallel sides is 8 cm. Find the length of the second parallel side.
Answer:
19cm
Step-by-step explanation:
The area of a trapezoid [tex]=\dfrac12(a+b)h[/tex] (where a and b are the parallel sides).
Given:
Area = 189 Square cm
Height, h=14cm
a=8cm
We want to find the value of the other parallel side, b.
Substitution of the given values gives:
[tex]189=\dfrac12(8+b)14\\189=7(8+b)\\$Divide both sides by 7\\8+b=27\\Subtract 8 from both sides\\b+8-8=27-8\\b=19cm[/tex]
The length of the second parallel side is 19cm.
The FDA regulates that a fish that is consumed is allowed to contain at most 1 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the amount of mercury in the fish from each of the 53 lakes. Do the data provide enough evidence to show that the fish in all Florida lakes have different mercury than the allowable amount?
Required:
State the random variable, population parameter, and hypotheses.
Answer:
Yes. At a significance level of 0.05, there is enough evidence to support the claim that the fish in all Florida lakes have different mercury than the allowable amount.
The random variable is the sample mean amount of mercury in the bass fish from the lakes of Florida.
The population parameter is the mean amount of mercury in the bass fish of Florida lakes.
The alternative hypothesis (Ha) states that the amount of mercury significantly differs from 1 mg/kg.
The null hypothesis (H0) states that the amount of mercury is not significantly different from 1 mg/kg.
[tex]H_0: \mu=1\\\\H_a:\mu\neq 1[/tex]
Step-by-step explanation:
The question is incomplete.
There is no data provided.
We will work with a sample mean of 0.95 mg/kg and sample standard deviation of 0.15 mg/kg to show the procedure.
This is a hypothesis test for the population mean.
The claim is that the fish in all Florida lakes have different mercury than the allowable amount (1 mg of mercury per kg of fish).
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=1\\\\H_a:\mu\neq 1[/tex]
The significance level is assumed to be 0.05.
The sample has a size n=53.
The sample mean is M=0.95.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.15.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.15}{\sqrt{53}}=0.0206[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{0.95-1}{0.0206}=\dfrac{-0.05}{0.0206}=-2.427[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=53-1=52[/tex]
This test is a two-tailed test, with 52 degrees of freedom and t=-2.427, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=2\cdot P(t<-2.427)=0.019[/tex]
As the P-value (0.019) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
At a significance level of 0.05, there is enough evidence to support the claim that the fish in all Florida lakes have different mercury than the allowable amount.
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)
Answer:
GOOGLE :)
equation:
y=mx+b
m= slope (how steep the line is(negative is \ positive is /))
b= y intercept (where it is on the vertical line(up and down line))
step by step
1. locate y intercept and plotthe point
2.from that point use slop to find second point and plot
Suppose that y is directly proportional to x and that y = 16 when x = 8. Find the constant of proportionality k.
Then, find y when x = 12.
Answer: 24
Step-by-step explanation:
Variation: y ∞ x
y = kx , where k is the constant of proportionality
now to find k, we substitute for y and x in the equation above
16 = 8k
therefore,
k = ¹⁶/₈
= 2.
Now, to find y , we move back to the equation above and substitute for x and k to get y
y = 12(2)
= 24
A simple random sample of size nequals200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 106 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Upper H 0: ▼ sigma mu p ▼ not equals less than equals greater than 0.5 Upper H 1: ▼ p mu sigma ▼ less than greater than not equals equals 0.5 (b) Calculate the P-value. P-valueequals nothing (Round to three decimal places as needed.) (c) State the conclusion for the test. Choose the correct answer below. A. Do not reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. B. Do not reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. C. Reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. D. Reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. (d) State the conclusion in context of the problem. There ▼ is not is sufficient evidence at the alpha equals 0.05 level of significance to conclude that more than half of all drivers drive a car made in this country. Click to select your answer(s).
Answer:
Explained below.
Step-by-step explanation:
The information provided is:
n = 200
X = 106
α = 0.05
The sample proportion is:
[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]
(a)
A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.
The hypothesis is:
H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]
Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]
(b)
Compute the value of the test statistic:
[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]
[tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]
Compute the p-value as follows:
[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]
*Use a z-table.
Thus, the p-value of the test is 0.198.
(c)
Decision rule:
Reject the null hypothesis if the p-value is less than the significance level.
p-value = 0.198 > α = 0.05
The null hypothesis will not be rejected.
The correct option is (A).
(d)
Conclusion:
There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.
Identify the function value which will be used for M,, the maximum function value on the i, j - th rectangle.
a. f (xi-1»Y;-1)
b. f (x-1,Y;)
c. f(x,y;-))
d. f(x;,y;)
e. None of these
Answer:
A.
Step-by-step explanation:
A. i just took the test
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 18 options: A) 56° B) 112° C) 180° D) 28°
Answer:
B) 112°
Step-by-step explanation:
After the double reflection the point is effectively rotated by an amount that is double the angle between the lines of reflection:
2·56° = 112°
_____
In the attached, lines l and m are separated by 56°, as required by the problem statement.
help asapppp....thanks
Answer:
a) -8x^3 + x^2 + 6x
b)16x^2 -9
c) 24x^4 + 37x^3 +13x^2 -18x
Step-by-step explanation:
a) distribute -2x to x and 4x^2 then do the same for the other part and then add the ones w the same exponent.
b) do foil ( multiply first outside inside last) which will be 4x times 4x then 4x times 3 then -3 times 4x and 3 times -3. add like exponents
c) do the same as above
A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z)
Find the work done.
Answer:
Work done = 0 J
Step-by-step explanation:
work done= ∫ F. dr
= [tex]\int\limits^2_0 {x} \, dx[/tex] + [tex]\int\limits^2_2 {x} \, dx[/tex] + [tex]\int\limits^0_2 {x} \, dx[/tex] + [tex]\int\limits^0_0 {x} \, dx[/tex] + [tex]\int\limits^0_0 {y} \, dy[/tex] + [tex]\int\limits^5_0 {y} \, dy[/tex] + [tex]\int\limits^5_5 {y} \, dy[/tex] + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex] + [tex]\int\limits^1_0 {z} \, dz[/tex] + [tex]\int\limits^1_1 {z} \, dz[/tex] + [tex]\int\limits^0_1 {z} \, dz[/tex]
Work done= x²/2 + y²/2 + z²/2
Applying integral limits for entire pathway
Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2
Work done = 0 J
two bags contains 10 balls each. Every round you choose with equal probability one of the two bags and pick out a ball. After a while, you choose an empty ball. What is the probability for the other bag to contain exactly 4 balls at that time？
Answer:
6.10%
Step-by-step explanation:
For every round since we are choosing with equal probability, then the probability of choosing from either of the bags is 1/2
Here, this scenario is only possible when a particular bag has been chosen 10 times and the other bag has been chosen 6 times ( meaning a particular bag has been emptied and for a particular bag to be emptied, all of its content would have been picked)
Now on the 17th trial, an empty bag is chosen
Therefore the required probability will be;
16C0 * (1/2)^10 * (1/2)^6 * 1/2 = 0.0610 = 6.1%
Nina had 17 marbles in a bag. Her mother put a handful of marbles in the bag. When Nina counts her marbles, she discovers she now has 34 of them. Which of the following equations will help Nina solve for the number of marbles, m, that her mom put in the bag? 17 + 34 = m 17 + m = 34 17m = 34 m − 17 = 34
Answer:
17+m=34
Step-by-step explanation:
Nina had 17 marbles in a bag + the x amount of marbles that her mom gives her.
so 17+x=34
(x is the variable that I chose however it could be any variable, so it would also mean the same thing as 17+m=34)
Hope this helped!
Answer:
17 + m = 34.
Step-by-step explanation:
Nina had 17 marbles;
Mother put a handful of marbles, let's say m.
Now Nina has 34 marbles.
34 marbles is [=] 17 marbles Nina had before + m from her mother.
17 + m = 34 will be the right equation.
17 + 34 = m — wrong;17 + m = 34 — right;17m = 34 — wrong;m - 17 = 34 — wrong.simplity 1-5(3 + 2-3)?
Answer:
-9
Step-by-step explanation:
1 - 5 (3 + 2 - 3)
1 − 5 ( 5 − 3 )
1 - 5 x 3
1 - 10
-9
www.g "You roll a fair six-sided die twice. Find the probability of rolling a 4 the first time and a number greater than 3 the second time."
The sum of Joe's and Sheila's ages is 115. Fourteen years ago, Joe was twice as old as Sheila. How old is Sheila now?
Answer: Sheila today = [tex]46\dfrac{1}{3}[/tex] yrs old
Step-by-step explanation:
J + S = 115 v⇒ J = 115 - S
Current Ages Ages 14 years ago
Joe (J) = 115 - S J - 14 = 2(S - 14)
Sheila (S) = S
Substitute J = 115 - S into the "14 years ago" equation
J - 14 = 2(S - 14)
(115 - S) - 14 = 2(S - 14)
111 -S = 2S - 28
111 = 3S - 28
139 = 3S
46 [tex]\frac{1}{3}[/tex] = S
It is odd that the result was not an integer. I wonder if you meant to type "Joe was twice as old as Sheila is today. That would change the equation to:
J - 14 = 2S
111 - S = 2S
111 = 3S
37 = S
I already completed part 1 as pictured, I need help solving part 2. Part 2: (c) How many new homes were completed in the 12-month period through January 2011, and how did that compare to the number of new homes started in 2010? If necessary, round your answer to the nearest whole number. In the 12 month period through January 2011, there were 423,831 new homes completed, which was _________ fewer OR more than the number of new homes in 2010.
Answer:
423,831104,840 fewerStep-by-step explanation:
Given:
281,000 homes sold through Jan 2011 was 66.3% of homes completed
378,000 homes was a 28.5% decrease from starts in 2010
Find:
(i) Homes completed in 12 months through Jan 2011
(ii) Comparison to homes started in 2010
Solution:
(i) Using the given relation, we can find homes completed through Jan 2011.
281,000 = 0.663×completed
completed = 281,000/0.663 = 423,831
__
(ii) Similarly, we can find the number of 2010 starts:
starts(1 -28.5%) = 378,000
starts = 378,000/0.715 = 528,671
The relation of completions in 2011 to starts in 2010 is ...
423,831 -528,671 = -104,840
__
Through Jan 2011, there were 423,831 homes completed, which was 104,840 fewer than the number of starts in 2010.
_____
Comment on your question
Your problem statement supplies the answer to the first question in 2(c). Part 1(b) tells you the relation between starts in 2011 and in 2010, so you can easily figure starts in 2010 from your answer to that question.
Not sure of how I would solve this
what is the value of -x+ the absolute value of -y
Answer:
[tex]-x+| \: y\: |[/tex]
Step-by-step explanation:
[tex]-x+|-y|[/tex]
[tex]\mathrm{Apply\:absolute\:rule}: \left|-y\right|\:=| \: y\: |[/tex]
[tex]-x+| \: y\: |[/tex]
You are asked to lift something that is 15 kg. How many pounds is it? lbs
Answer:
33.0693394
Step-by-step explanation:
1 klio is 2.20462262,just mulipily by 15.
6th grade math , help me please :)
Answer:
A= 20x
B= 15n
C= 15x+ 9
D= a + 15
E= 9x + 3y
F= 10w + 10z
Step-by-step explanation:
Please help meeeeeeeee
Answer:
The lines will intersect infinitely many times, because they are identical.
Step-by-step explanation:
Let's change the equations of the lines into (y=mx+b) form.
6x-4y=2 Divide by 2.
3x-2y=1 Move x and divide by -2.
-2y=1-3x ---> y= -1/2+3/2x
The equation of the first line is y=3/2x- 1/2
-2y+3x=1
-2y=1-3x
y = 3/2x -1/2
The equation of the second line is y = 3/2x- 1/2.
The lines are identical- infinitely many intersections.
Step-by-step explanation:
I think the answer is third because it doesn't has a solution.
Three Savings accounts are advertised. - One savings account offers an APR of 2.43% compounded daily - another one offers an APR of 2.46% compounded monthly - A third offers an APR of 2.47% compounded annually Which one pays the most interest at the end of the one-year explain how you know your answers right
Answer:
2.46% monthly pays the most
Step-by-step explanation:
The formula for the effective annual rate of interest when nominal rate r is compounded n times per year is ...
r' = (1 +r/n)^n -1
For 2.43% compounded daily, the effective annual rate is ...
r' = (1 +0.0243/365)^365 -1 ≈ 2.4597%
For 2.46% compounded monthly, the effective annual rate is ...
r' = (1 +0.0246/12)^12 -1 ≈ 2.4879%
For 2.47% compounded annually, the effective annual rate is ...
r' = (1 +0.0247/1)^1 -1 = 2.47%
__
The account with an APR of 2.46% compounded monthly pays the most interest. (2.49% > 2.47% > 2.46% ⇔ monthly > annually > daily)
multiply your income by 2 to get your monthly income: $900
Answer:
monthly income=$900
the monthly income was multipled by 2
so, real income was, $900/2
=$ 450
so, $450×2=$900...
The real income is $400.
MultiplicationThe term multiplication refers to the product of two or more than two numbers.
How to find real income?Let us assume that the real income is x.
We have to multiply the real income by 2 to get the monthly income of $900.
This implies that [tex]x\times 2=\$900[/tex],
Solving the above expression, we will get
[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]
So, the real income is $400.
Learn more about expression here-https://brainly.com/question/14083225
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