Answer:
30
Step-by-step explanation:
15x+12y=90
Divide by 3
5x+4y=30
Answer:
30
Step-by-step explanation:
this is common sense
15x + 12y = 90
dividing throughout by 3, we would have
5x + 4y = 30
or
by equating
15x + 12y - 90=5x + 4y -30
15x -5x = 4y -12y -30 + 90
10x=60-8y
dividing throughout by 2
5x= 30-4y
5x+4y= 30
The value of StartRoot 52 EndRoot. is between which two integers?
5 and 6
6 and 7
7 and 8
8 and 9
===============================================
Explanation:
When you list out the perfect squares, notice that 49 and 64 are on that list.
These are values we focus on because 49 < 52 < 64
We'll apply the square root to all three sides
[tex]49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\[/tex]
This shows that [tex]\sqrt{52}[/tex] is between 7 and 8
A calculator helps confirm this
[tex]\sqrt{52} \approx 7.2111\\\\[/tex]
If a researcher decided to set their alpha level to 0.001 instead of 0.05, they would be MORE likely to reject the null hypothesis
True or false
Which expression is equivalent to 250 + 150 ?
Answer:
if 25c + 15d = 0, then d = -25/15c
Step-by-step explan
just yes, that
Several logs are stored in a pile with 22 logs on the bottom layer, 21 on the second layer, 20 on the
third layer, and so on. If the top layer has one log, how many logs are in the pile?
Answer:
[22 x 21] / 2=231 or "c"
Step-by-step explanation:
A woman making $2000 per month has her salary reduced by 20% because of sluggish sales. One year later, after a dramatic improvement in sales, she is given a 30% raise over her reduced salary. Find her salary after the raise. $ per month What percent change is this from the $2000 per month? %
The percent change from the $2000 per month will be 4%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
A woman making $2000 per month has her salary reduced by 20% because of sluggish sales. Then her salary will be
⇒ $2,000 × (1 - 0.20)
⇒ $1,600
One year later, after a dramatic improvement in sales, she is given a 30% raise over her reduced salary. Then her salary will be
⇒ $2,000 × (1 + 0.30)
⇒ $2,080
Then the percent change from the $2000 per month will be
P = [(2080 - 2000) / 2000] × 100
P = (80 / 2000) × 100
P = 0.04 × 100
P = 4%
The percent change from the $2000 per month will be 4%.
More about the percentage link is given below.
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help ASAP please plz
Arnold bought 5 1/2 yds of lumber and uses 3 ft 8 inches to build a bird house. How many
inches of lumber is left.
A) 1.7 inches
B) 154 inches
C) 162 inches
Answer:
A) 1.7 inches of lumber is left.
Alegbra- How can I solve #5?
Answer:
3
9
21
Step-by-step explanation:
For the first one use the law of total probability
B=A∩B+A'∩B
12=9+A∩B
A∩B= 3
For this one you should use demorgans law and the union formula
(A'∩B')=(AUB)'
AUB= A+B-A∩B
6+12-3=15
15'= 24-15 = 9
For this one use demorgans law again
(A'UB')=(A∩B)'
(A∩B)'= 24-A∩B= 24-3= 21
Line s is the perpendicular bisector of JK. If line s intersects JK at point L
which of the following statements must be true?
Answer:
You don't have your options listed but if one of them is Point L is the midpoint of the segment, that would be your answer.
Step-by-step explanation:
Complete the transformations below.
Then enter the final coordinates of the figure.
A
(2,4)
B
A” ([?], [])
15,2) B" ([], [])
C" ([], 1)
C(3,1)
1) <-3, -2>
2) Dilate K = 4
Enter
will give brainliest
Answer:
[tex]A(2,4)<-3,-2)A'(-1,2)>A''(-4,8)[/tex]
[tex]B)(5,2)-> B'(2,0)->B''(8,0)[/tex]
[tex]C(3,1)->C'(0,-1)->C''(0,-4)[/tex]
[tex](x,y)->(x-3,y-2)->([(x-3)*4],[(y-2)*4])[/tex]
-------------------------hope it helps...have a great day!!Suppose 54% of the registered voters in a country are Democrats. If a sample of 770 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 52%? Round your answer to four decimal places.
Answer:
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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.
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]
Suppose 54% of the registered voters in a country are Democrats. Sample of 770.
This means that:
[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]
What is the probability that the sample proportion of Democrats will be greater than 52%?
This is 1 subtracted by the p-value of Z when X = 0.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]
[tex]Z = -1.11[/tex]
[tex]Z = -1.11[/tex] has a p-value of 0.1335
1 - 0.1335 = 0.8665
0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.
What is the value of the expression:5m-2n when m=3 and n=5?
9514 1404 393
Answer:
5
Step-by-step explanation:
Put the numbers where the letters are and do the arithmetic.
5(3) -2(5) = 15 -10 = 5
Answer:
5
Step-by-step explanation:
5m - 2n
Where, we have given ; m = 3 & n = 5
plug the value in the equation
= 5( 3 ) - 2 ( 5 ) = 15 - 10= 51. Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
85º and 95º
Step-by-step explanation:
supplementary angle total 180
(8x – 3) + (7x + 18) = 180
Combine like terms
15x + 15 = 180
15x = 165
x = 11
---------------------
8x – 3
8(11) - 3
88 - 3
85º
7x + 18
7(11) + 18
77 + 18
95º
7 1/5 - 6 2/5 = ?
A 13 3/5
B 1 1/5
C 1 4/5
D 4/5
Find cos(A+B), given sinA=35 and cosB=−12/13 and both A and B are in π2<θ<π
Answer:
[tex] \cos(A + B) = \cos A \cos B - \sin A \sin \: B \\ but : \cos \: A = \sqrt{1 - ({ \frac{3}{5} })^{2} } = \frac{4}{5} \\ : \sin B = \sqrt{1 - {( \frac{ - 12}{13} })^{2} } = \frac{5}{13} \\ \therefore \cos(A + B) = ( \frac{4}{5} )( \frac{ - 21}{13} ) - ( \frac{3}{5} )( \frac{5}{13} ) \\ = \frac{ - 84}{65} - \frac{3}{13} \\ = \frac{ - 99}{65} \\ = - 1.52[/tex]
Evaluate 11/12*12/121- -6/5*70/60
Answer:
82/55
Step-by-step explanation:
11/12 * 12/121 - -6/5 * 70/60 = 1/11 + 14/10 = 1/11 + 7/5 = 5/55 + 77/55 = 82/55
The required solution of the given expression is 82/55.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve, For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
The given expression is,
= 11/12*12/121- -6/5*70/60
Simplify the above expression,
= 11/121+ 70/50
= 1/11 + 7/5
The common denominator between the two fractions is 55, so
= 5 + 77 / 55
= 82 / 55
Thus, the required solution of the given expression is 82/55.
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If the code AXISEM represents the number 9.54207, what number is represented by the code XlS + SEX? a.AIM b.MIM c.MES d.SIX
Answer:
B. MIM
Step-by-step explanation:
A = 9
X = 5
I = 4
S = 2
E = 0
M = 7
XIS = 542, SEX = 205
542 + 205 = 747
747 = MIM
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a standard deviation of 0.9 years. Step 1 of 2 : If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means
Answer:
5.9 years.
Step-by-step explanation:
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]
In this question:
Mean of the population is [tex]\mu = 5.9[/tex]
If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?
By the Central Limit Theorem, the same population mean, of 5.9 years.
What is the value of x ?
Answer:
What is the value of x?
Whenever we have a problem to solve we assume the unknown quantity(or value to be identified) as x. This is just a convention followed in algebra by using a variable to denote the unknown quantity and then arrive at the solution.
What is the value of X?
What's the value of X?
X + X = X, what is the value of X?
What is the value of x ? How can I find it?
Do you know the value of x?
Value of X can be any numerical value or anything but depends solely on your question .But I find no question ok lets take an example .
If an equation is given ,
X+2=4
=> X=4–2
=>X=2
We X's value as 2 .
Now another ,
X + Y = 5 , 2X + 5Y = 10
Now taking first equation
X = 5-Y ………………………..(1)
Now taking second equation
X= 10–5Y/2…………………(2)
Now,
2(5-Y) = 10–5Y
=> 10–2Y = 10–5Y
=> 2Y = 5Y
Y has no value here because this equation not correctly represented .
Hence ,
We conclude the value of X varies with equation .
Thank You ,
Answer:
28.61258...
Step-by-step explanation:
Don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
Which of the following is the rule for the dilation below?
Group of answer choices
(x,y)⟶(x+2,y+2)
(x,y)⟶(3x,3y)
(x,y)⟶(2x,2y)
None of these
(x,y)⟶(12x,12y)
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:
Can someone help me with this? please
9514 1404 393
Answer:
(30, 72, 78)
Step-by-step explanation:
When testing a number of triples to see if they are Pythagorean triples, it can be convenient to let a spreadsheet do the math. The attachment shows us the triple at lower left (30, 72, 78) is a Pythagorean triple. That is, the sum of the squares of the smaller two numbers is the square of the larger, so they can form a right triangle.
__
You may recognize these numbers have the ratios 5:12:13, the ratios of an often-used triple.
Lean a is 6 years older than Hayden.The product of their age is 40. How old is hayden
5.7
Step-by-step explanation:
Lean- 6x
Hayden- x
x+ 6x=40 Equation
7x=40 Added the x and 6x
x= 5.7 Divided from each side
HELP TIMED
Which is equivalent to ?
Answer:
C the one with the 12
so the 3 turn into 1/3 now 1/3 times 1/4 = 1/12
now turn the 1/12 into the outside of the sign
Step-by-step explanation:
Is 7/12,1/6,-1/4,-2/3 arithmetic?
Answer: Yes since its + (-5/12) each time
Step-by-step explanation:
All expressions equivalent to 4(2+x):
Answer and Step-by-step explanation:
8 + 4x -- Distributed the 4 to the 2 and x.
2(4 + 2x) -- Taking out the 2 from the 8 and 4x, instead of the 4.
These are the answers.
#teamtrees #PAW (Plant And Water)
Find the measure of the missing angle
Answer:
c = 49
b = 131
Step-by-step explanation:
c and 49 are vertical angles and vertical angles are equal
c = 49
b and 49 are supplementary angles and supplementary angles add to 180 degrees
b+49 = 180
b = 180-49
b =131
Answer:
Hello!
c = 49
b = 131
explanation: 131 + 131 + 49 + 49 = 360
hope that helps!
Kelly owns a donut shop she wants to determine if she should add iced coffee to her menu. She gives a survey to the first 10 morning customers that come into her shop for the week
If agronomists used an exponential model to fit the data, which function h(t), which represents the height of the beanstalk t days after planting, best fits the data? Beans begin to sprout on the 14th day. Consider the value predicted by the model on the 14th day. Which statement is true?
When using GeoGebra, I'm getting the regression curve to be roughly
h(t) = 1.67*(1.4)^t
I'm not sure how your teacher got 1.64 instead of the 1.67, but it's fairly close. So it seems like choice B is the best answer for the first part.
---------------------------------------------------
Once we know the regression equation, we plug in t = 14 to find that,
h(t) = 1.64*(1.4)^t
h(14) = 1.64*(1.4)^(14)
h(14) = 182.236911939151
h(14) = 182.2
If 14 days have gone by, then we estimate the height is roughly 182.2 inches.
Compared to what the table says, which is 190 inches, we see that we have an underestimate. The error is about 190-182.2 = 7.8 which is under 10.
Answer: Choice C
The model under-predicts the actual height by less than 10 inches
Find the surface area of the prism.
7 mm
4 mm
5 mm
Answer:
Since there are 2 sides, a front & back, and a top & bottom, you must find the surface area of each of those 3 surfaces and multiply by 2.
Step-by-step explanation:
The formula would be:
Top & Bottom - 5 × 4 (multiply by 2 for top AND bottom)
Front & Back - 5 × 7 (multiply by 2 for front AND back)
Sides - 4 × 7 (multiply by 2 for BOTH sides)
___________________________________________________
Once you find the 3 surface areas, add the areas all together for the total. (I did not show the answer because that is for you to do on your own.)
Ex. Top & Bottom + Front & Back + Sides
Answer:
166 is the answer.
Evaluate: 2^-4=
A1/8
B-16
C1/16
D-8
Answer:
C) 1/16
Step-by-step explanation:
2*2*2*2=16
Therefore, 2^(-4)=1/16.
Answer:
C) [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
2⁻⁴
2⁴ = 2 × 2 × 2 × 2 = 16
[tex]\frac{1}{16}[/tex]