Answer:
I'm not sure if you have the question quite right. Whenever you multiply x and y by something, it is a dilation. So 3 of those are dilations. If you add or subtract something from x, it is a translation.
Hope that helps.
Step-by-step explanation:
Why can the value of the variable a in the expression a + 2 be any number?
Why does the variable b in the equation 6 + 2 = 5 have only one value?
Please help
Answer:
(a) Because the expression is not an equation
(b) Because the expression is an equation
Step-by-step explanation:
Solving (a): a + 2
The above expression can assume any value for a because it is not an equation.
Take for instance:
a = 2;
[tex]a + 2 \to 2 + 2 = 4[/tex]
[tex]a =-4[/tex]
[tex]a + 2 \to -4 + 2 = -2[/tex]
The reason for this is because the expression is not an equation
Solving (b): [tex]b + 2 = 5[/tex]
The above expression can assume only value for b, and the value is:
[tex]b + 2 = 5[/tex]
[tex]b = 5-2[/tex]
[tex]b =3[/tex]
This means that only [tex]b =3[/tex] will make the equation true.
The reason for this is because the expression is an equation
Please I need help! Thank you
Step-by-step explanation:
everything can be found in the picture
Answer:
h = [tex]\frac{K^2}{17}[/tex]
Step-by-step explanation:
Given
K = [tex]\sqrt{17h}[/tex] ( square both sides )
K² = 17h ( divide both sides by 17 )
[tex]\frac{K^2}{17}[/tex] = h
Solve the equation by factoring. 2x^2=8x
Answer:
x= 0 x=4
Step-by-step explanation:
2x^2=8x
Subtract 8x from each side
2x^2 -8x=8x-8x
2x^2 - 8x =0
Factor 2x
2x( x-4) =0
Using the zero product property
2x =0 x-4 =0
x= 0 x=4
Answer:
(0,4)
Step-by-step explanation:
Divide both sides of the equation by 2
x^2=4x
Move the variable to the left-hand side and change it's sign
x^2-4x=0
Factor out x from the expression
xx(x-4)=0
Separate into possible cases. )When the product of factors equals 0, at least one factor is 0)
x=0
x-4=0
solve the equation for x
x=0
x=4
The equation has 2 solutions
Duncan is investigating if residents of a city support the construction of a new school. He is curious about the difference of opinion between residents in north and south parts of the city. He obtained separate random samples of voter from each region. Here are results:
Support Construction North South
Yes 274 240
No 726 520
Total 1000 760
Duncan wants to use these results to construct a 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction (PN-Ps). Assume that all of the condition for inference have been met.
Answer:
The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
North:
274 out of 1000. So
[tex]p_N = \frac{274}{1000} = 0.274, s_N = \sqrt{\frac{0.274*0.726}{1000}} = 0.0141[/tex]
South
240 out of 760. So
[tex]p_S = \frac{240}{760} = 0.3158, s_S = \sqrt{\frac{0.3158*0.6842}{760}} = 0.0169[/tex]
Distribution of the difference:
[tex]p = p_N - p_S = 0.274 - 0.3158 = -0.0418[/tex]
[tex]s = \sqrt{s_N^2+s_S^2} = \sqrt{0.0141^2+0.0169^2} = 0.022[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]p - zs = -0.0418 - 1.96*0.022 = -0.0849[/tex]
Upper bound:
[tex]p + zs = -0.0418 + 1.96*0.022 = 0.0013[/tex]
The 95% confidence of interval to estimate the difference in the proportion of the residents in these regions who support the construction is (-0.0849, 0.0013).
Given the proportion and number of residents in the North and South of
0.274, 1000, and approximately 0.316, 760, we have;
The 95% Confidence interval for the difference in proportion of those in support of the construction is; C.I. = (-0.085, 0.00109)How can the confidence interval be found?The given parameter presented in a tabular form are;
[tex]\begin{array}{|c|c|c|}Support \ Constructtion&North&South\\Yes&274&240\\No&726&520\\Total & 1000& 760\end{array}\right][/tex]
Which gives;
Proportion of the North resident that support, [tex]\mathbf{\hat p_N}[/tex] = 274 ÷ 1000 = 0.274
The number of people sampled in the north, n₁ = 1,000
Proportion of the South resident that support, [tex]\mathbf{\hat p_S}[/tex] = 240 ÷ 760 ≈ 0.316
The number of people sampled in the south, n₂ = 760
The confidence interval for the difference of two proportions are given
as follows;
[tex]\hat{p}_N-\hat{p}_S\pm \mathbf{ z^{*}\sqrt{\dfrac{\hat{p}_N \cdot \left (1-\hat{p}_N \right )}{n_{1}}+\dfrac{\hat{p}_S \cdot \left (1-\hat{p}_S \right )}{n_{2}}}}[/tex]
Where;
The z-score at 95% confidence level is 1.96
Which gives;
[tex]C.I. = \left(0.274-0.316 \right)\pm 1.96 \times \sqrt{\dfrac{0.274 \times \left (1-0.274 \right )}{1000}+\dfrac{0.316 \times \left (1-0.316 \right )}{760}}[/tex]
C.I. ≈ (-0.085, 0.00109)
The 95% confidence interval, C. I. of the difference in the proportion of
the residents in the regions who support the construction, [tex]\hat p_N[/tex] - [tex]\hat p_S[/tex] is
therefore;
[tex]\underline{C.I. = (-0.085, \, 0.00109)}[/tex]Learn more calculating the confidence interval here:
https://brainly.com/question/15308274
Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lime, what is the probability that it does not have a chocolate center?
Answer:
ok first we have to add the number of lollipops up
9+13+5+11+7+15=60
so there is 60 lollipops in total
now we have to add up the ones with out a chocolates center
11+7+15=33
so 33/60
we can simplify this
11/20
now we multiply both by 5
55/100
so 55%
Hope This Helps!!!
The correct answer is option A which is the probability of not having a chocolate center is 55%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The given data is:-
9+13+5+11+7+15=60
So there are 60 lollipops in total, now we have to add up the ones without a chocolate center.
The probability will be calculated as:-
11+7+15=33
P =33/60
P = 11 / 20
Now we multiply both by 5
P = 55/100
Therefore the correct answer is option A which is the probability of not having a chocolate center is 55%.
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Need help with this question 30 points and ill give brainlist ASAP
Answer:
my answer is A. you only need substitute n from 1 to 4
Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is
Answer:
[tex]x = \pi \div 4 [/tex]
1.) Determine the measure of angle x. please help and take all my points
Answer:
120 degrees
Step-by-step explanation:
a straight line is 180 degrees, so 180-60
In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?
Answer:
54degrees
Step-by-step explanation:
From the given diagram;
2<P + 136 + 74 + 42 = 360 (sum of angle at a point is 360degrees)
2<P +252 = 360
2<P = 360 - 252
2<P = 108
<P = 108/2
<P = 54
Hence the measure of <P is 54degrees
Three coins are tossed.
What is the probability that
all three will land tails up?
Answer: 1/4
Step-by-step explanation:
What value of z divides the standard normal distribution so that half the area is on one side and half is on the other
Answer:
0.0
Step-by-step explanation:
PLEASE HELP ME!! Kevin earns a base salary of $350.00 every week with an additional 12%
commission on everything he sells. If Kevin sold $4950.00 worth of items
last week, what was his total pay?
============================================================
Explanation:
He sold $4950 worth of items. Take 12% of this amount to get
12% of 4950 = 0.12*4950 = 594
So he earns $594 in commission on top of the $350 base salary paid every week. In total, he earns 594+350 = 944 dollars for that week
This isn't the per week pay because he would need to sell exactly $4950 worth of goods each week to keep this same weekly pay.
What measure of positions divides the data into 100?
Answer:
the answer to this question would be percentiles
A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.
Answer:
2/13
Step-by-step explanation:
For a deck of card
Total cards = 52
Total spade = 4
Total diamond = 4
pr(drawing a spade) = number of spade/total cards
pr(drawing a spade) = 4/52 = 1/13
pr(drawing a diamond) = 4/52 = 1/13
Pr(diamond or a spade) = 1/13 + 1/13 = 2/13
A box contains 35 gems, of which 10 are real diamonds and 25 are fake diamonds. Gems are randomly taken out of the box, one at a time without replacement. What is the probability that exactly 2 fakes are selected before the second real diamond is selected
Answer:
Step-by-step explanation:
The total number of ways of selecting 3 gems of any kind without replacement is 35 * 34 * 33 = 39270
Now selecting 2 gems from 25 is 25C2
25 C 2 = 25 * 24/2 = 300
Selecting one good gem is 10
Total selection = 300 * 10 = 3000
P(gems) = 3000 / 39270
P(gems) = 300/3927
P(gems) = 100/1309
Beth has to carry 9 grocery bags into the house. each grocery bag weighs 5 6/10 pounds. how many pounds does beth carry in all? steps??
Answer: [tex]50\frac{2}{5}[/tex] or 50.4 pounds
Step-by-step explanation:
You multiply:
[tex]9*5\frac{6}{10} \\\\=9*\frac{56}{10} (5\frac{6}{10} =\frac{5(10)+6}{10} =\frac{50+6}{10} =\frac{56}{10} )\\\\=\frac{9*56}{10} =\frac{504}{10}\\\\ =\frac{2(252)}{2(5)}=\frac{252}{5} =50.4[/tex]
Isaac is on the swim team, and he is training for an upcoming race. He swims across a 50-meter pool in 3/5 of a minute. At this rate, how far can Isaac swim per minute?
Answer:
83.3...
Step-by-step explanation:
50x5/5=250/3
x=83.3
Isaac can swim 83.3 per minute.
It is required to find how far Isaac swim per minute.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
Isaac swims across a 50-meter pool in 3/5 of a minute.
According to question we have
50-meter = 3/5 of a minute
50x5/3meter= 1 minute
=250/3 meter/minute
=83.3meter/minute
Therefore, Isaac can swim 83.3 per minute.
Learn more about arithmetic here:
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Find the value of x that makes ABCD a parallelogram
Can you please show attachments.
Answer:
Step-by-step explanation:
can you give the question? XD
how far does the train travel if it is doing 65km/h during a time of 95 minutes ? give your answer in kilometers and then in meters
9514 1404 393
Answer:
102 11/12 km ≈ 102.917 km
102,916 2/3 m ≈ 102,917 m
Step-by-step explanation:
1 minute is 1/60 of an hour, so 95 minutes is 95/60 hours = 19/12 hours.
Distance is the product of speed and time, so ...
distance = (65 km/h)(19/12 h) = 1235/12 km = 102 11/12 km ≈ 102.917 km
__
Each kilometer is 1000 meters, so this distance is ...
(102.917 km) × (1000 m/km) = 102,917 m
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
The answer is in the picture. To be honest, I am not 100% sure about it.
PLS PLS PLSSSSSSSSSSS
Answer:
20%decrease? id.k if its decrease or increase but its 20%
Step-by-step explanation:
PLEASE HELP
h(3) = 5x2^-x , Evaluate the function h (3)
does x*x*x*x*x = 5x?
I'm not really sure so it would help.
Answer:
Step-by-step explanation:
no ,x*x*x*x*x=x^5
x+x+x+x+x=5x
in multiplication those who have same base we add their power.
in addition those variables which have same base(or are like term) we add them.
A bag contains 10 green marbles and 15 whites marbles. suppose a marble is randomly selected. what are the odds in favor of picking a white marble?
Answer:
15/25, simplified to 3/5. As a decimal, 0.6, or a 60% as a percentage.
What is the x-intercept of the equation 4x - 5y = - 20
Answer:
x=-5
Step-by-step explanation:
use inverse operations to solve the equation HELP NOW!!!
Answer:
w=18
Step-by-step explanation:
-1-2 = =3
w/-6 = -3
-6x-3 = 18
w=18
Answer:
w = 18
Step-by-step explanation:
[tex]\frac{w}{-6}+2=-1\\\frac{w}{-6}=-3\\w=18[/tex]
find the value of x easy math question #1 please help
Answer:
40 degrees
Step-by-step explanation:
Angles in a triangle add to 180 so
100+40+2x=180
140+2x=180
2x=40
x=20
2x=2(20)=40
The defensive coaches had hoped that the average number of tackles of the opponent’s QB would increase during the game in a distribution of 15% of the tackles in the first quarter,15% in the second,30% in the third, and 40% in the fourth. The mean number of tackles for the 2007 season was as follows: 37, 35, 73, 40. Did the mean sacks per game fit the desired distribution? Let a = 0.10.
Find tan(B) in the triangle.
c. 5/12
Step-by-step explanation:
tan= opposite/adjacent
[tex]{\huge{\underline{\bf{\pink{Hello \: mate \: (◕ᴗ◕✿)}}}}} \\ \\ = > \mathcal\blue{tan \beta = perpendicular \: \div base\: } \\ \\ \mathcal\blue{=>perpendicular = 5 \: } \\ \\\blue{=>Base = 12 \: } \\ \\ \\ \huge\mathfrak\red{=>tan \beta = 5 /12\: } \\ \\ {\huge{\boxed{\sf{\green{✓✓venom✓✓}}}}}[/tex]
For the inverse variation equation p = 8/v what is the value of p when V = One-fourth?
Answer:
32
Step-by-step explanation:
p=8/1/4
p=8÷¼
p=8×4
p=32
hope this helps
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