Answer:
x = (-150)/49
Step-by-step explanation:
Solve for x:
49 x + 150 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 150 from both sides:
49 x + (150 - 150) = -150
Hint: | Look for the difference of two identical terms.
150 - 150 = 0:
49 x = -150
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 49 x = -150 by 49:
(49 x)/49 = (-150)/49
Hint: | Any nonzero number divided by itself is one.
49/49 = 1:
Answer: x = (-150)/49
Which expressions are equivalent to 74-x-3)? Select two options.
X )? .
0-54x-21
0-72x-713)
63x-21
067x-4
3
071-x)+7(3)
Answer:
A,EStep-by-step explanation:
Edge 2021
The expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
What are Equivalent Expressions?Equivalent expressions are expressions that have the same values when evaluated or simplified.
Given:
7(-¾x - 3)
Open the bracket
7(-¾x) -7(3)
-5¼x - 21
Therefore, the expressions that are equivalent to 7(-¾x - 3) are:
A. -5¼x - 21
E. 7(-¾x) -7(3)
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2. Solve the equation.
x - 5(x - 1) = x - (2x - 3)
Answer:
=2/3
Step-by-step explanation:
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. To estimate the difference between the proportions of deer with chronic wasting disease in two different regions, a random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region. The biologist checked for the following.
(200)(0.06)≥10
(200)(0.94)≥10
(197)(0.086)≥10
(197)(0.914)≥10
Which of the following conditions for inference was the biologist checking?
a. The population of deer within each region is approximately normal.
b. It is reasonable to generalize from the samples to the populations.
c. The samples are independent of each other.
d. The observations within each sample are close to independent.
e. The sampling distribution of the difference in sample proportions is approximately normal.
Answer:e. The sampling distribution of the difference in sample proportion is approximately normal.
Step-by-step explanation:
(200) (0.06) >= 10
(200) (0.94) >=10
(197)(0.086) >=10
(197)(0.914) >= 10
We test the sample proportions of it is normal :
Deer population 1:
Sample size, n1 = 200
Proportion, p1 = 0.06
q = 1 - p = 1 - 0.06 = 0.94
n1 * p = 200 * 0.06 = 12
n1 * q = 200 * 0.94 = 188
Deer population 2:
Sample size, n2 = 197
Proportion, p = 0.086
q = 1 - p = 1 - 0.086 = 0.914
n2 * p = 197 * 0.086 = 16.94
n2 * q = 197 * 0.914 = 180.06
Since for samples and proportions ;
n*p and nq ≥ 10 ;
We cm conclude that the sampling distribution of the difference in sample mean is appropriately normal.
The sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.
Given :
A wildlife biologist is doing research on chronic wasting disease and its impact on the deer populations in northern Colorado. A random sample of 200 deer was obtained from one region and a random sample of 197 deer was obtained from the other region.For dear population 1, the sample size is 200 and proportion is 0.06.
[tex]\rm q_1 = 1-p_1=1-0.06=0.94[/tex]
[tex]\rm n_1p_1=200\times 0.06=12\\[/tex]
[tex]\rm n_1q_1=200\times 0.94 = 188[/tex]
Now, for dear population 2, the sample size is 197 and the proportion is 0.086.
[tex]\rm q_2 = 1-p_2=1-0.086=0.914[/tex]
[tex]\rm n_2p_2=197\times 0.086=16.94[/tex]
[tex]\rm n_2q_2=197\times 0.914 = 180.06[/tex]
Therefore, from the above calculations, it can be concluded that the sampling distribution of the difference in sample proportions is approximately normal because samples and proportions are greater than or equal to 10.
So, the correct option is e).
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A DVD normally costs $22. This week it is on sale for 25% off the original price. What is the sale price of the DVD?
Answer:
$16.5
Step-by-step explanation:
25 % of 22 is 5.5
22 - 5.5 = 16.5
The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.
Given that the original price of a DVD is $22, that means the cost of the DVD is $22.
This week the sale on the original price of a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.
Here, calculate the discount on the original price of a DVD.
[tex]Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5[/tex]
The discount is $5.5 on the original price of a DVD.
Therefore, the sale price of a DVD on this week after the discount:
[tex]Sale\ price= \$22-$5.5\\Sale\ price=\$16.5[/tex]
Thus, the sale price of a DVD is $16.5.
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#SPJ2
Four of our eight planets are gas giants.
The rest are made of rock. What fraction
of our planets are gas giants?
Answer:
half of them 50% .5 4/8 1/2
Answer:
4/8 or 1/2 or 50%
Step-by-step explanation:
According to your info in the question:
4 planets are gas giants.
8 total planets.
4 / 8 simplified is 1/2
Simplify
(5i²+8i+10) - (3i²-10i+3)
Answer:
2i^2+18i+7
Step-by-step explanation:
(5i^2+8i+10)-(3i^2-10i+3)
5i^2+8i+10-3i^2+10i-3
2i^2+18i+7
Ales read 1/3 of a book Monday. 28 pages Tuesday . still has 1/3 left to read. how many pages in book
Answer:
there are 84 pages in the book.
Step-by-step explanation:
let's call the pages in the book b.
1/3b + 1/3b + 28 = b
2/3b + 28 = b
subtract 2/3b from both sides of the equation
2/3b - 2/3b + 28 = b - 2/3b
28 = b - 2/3b
28 = b/3
multiply both sides of the equation by 3
28 * 3 = b/3 * 3
28 * 3 = b
84 = b
Answer:
The book has 84 pages
Step-by-step explanation:
Equations
Let's make:
x = number of pages of the book
Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:
[tex]\displaystyle \frac{x}{3}+28+\frac{x}{3}=x[/tex]
Multiplying by 3:
[tex]x+84+x=3x[/tex]
Simplifying:
x = 84
The book has 84 pages
3 ÷ 1/8 simplified dont use calculator the answer is not 24
Answer:
Step-by-step explanation:
Since we converted 3 1/8 to 25/8, this is actually (25/8)/100. This simplifies to: (25/8)/100 = 25/(8*100) = 1/8 * 25/100 = 1/8 * 1/4 or 1/(4*8) = 1/32. A simplest fraction is a fraction of the form a/b where a and b share no factors other than 1. And 1/32 is the simplest fraction you can get.
Answer: 24/1
Step-by-step explanation:
The answer is 24....maybe just add the 1 under it
What is √9 (a very dum question)
Answer:
3 lol
Step-by-step explanation:
It’s not dum lol
Answer:
3
Step-by-step explanation:
yea
On Saturday, Ms. Rivera went to the store with $50. She needed to get clothes for the gym. She bought 5 pairs of socks for $3 dollars each, then paid $25 for shorts. Thankfully, Ms. Rivera had a coupon for half off everything! How much money did Ms. Rivera go home with?
Answer:
20
Step-by-step explanation:
She bought 5 pairs of socks which are 3 dollars each
(5 times 3 = 15 )
With the 25 dollar shorts
( 25 + 15 = 40 )
with a coupon of half off
( 40 divided by 2 = 20)
Five units to the right of -6
Answer: -1
Step-by-step explanation:
what are the factors of 15
Answer:
[tex]factors \: of15 = 3 , 1\: and \: 5[/tex]
A deck of cards is shuffled and then divided into two halves of 26 cards each. A card is drawn from one of the halves; it turns out to be an ace. The ace is then placed in the second half-deck. The half is then shuffled, and a card is drawn from it. Compute the probability that this drawn card is an ace. Hint: Condition on whether or not the interchanged card is selected.
Answer:
[tex]\frac{3}{52}[/tex]
Step-by-step explanation:
Hope this helps! Ask me anything if you have any questions! I'm free to help you anytime!
PLZ HELP ASAP
A cereal box holds 729 cubic inches if the area of the base measures 40.5 square inches
Answer:
The height = 18 inches
Step-by-step explanation:
The volume = area of the base × height
Area of the base = 40.5 inches²
The volume = 729 inches³
729 = 40.5 × height
Height = 729 ÷ 40.5 = 18 inches
Find the slope of the two coordinates:
(2, 4) and (4, 14)
Write the equation of the line in Point-Slope Form
using the first coordinate.
Answer:
3,6
Step-by-step explanation:
Can anyone help me pls
least common multiple of 35 and 15
Given that P=x+y. Find P when: x=−5 and y=−3
Answer:
P = - 8
Step-by-step explanation:
Given
P = x + y ← substitute x = - 5 and y = - 3
P = - 5 + (- 3) = - 5 - 3 = - 8
Rotate 90° counterclockwise about the origin.
M (3.2), N'(5,5), P'(4,5), Q'(2, 2)
M"1-2.3). N'(-5,5), P'(-5.4), (-2,2)
M(-2,-3). N'(-5.-5), P'(-5.-4). Q'-2,-2)
M*2.3). N'(5,5), P75,4), Q (2.2)
Answer:
it should be the second one
Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students, 40% go on to college. Of the 70% who do not face a disciplinary action, 60% go on to college. What percent of the students from the high school go on to college
Answer:
54% of the students from the high school go on to college
Step-by-step explanation:
We have these following percentages:
30% of the students from a high school face a disciplinary action of some kind before they graduate. Of those, 40% go on to college.
70% do not face action, and of those, 60% go to college.
What percent of the students from the high school go on to college?
Sum of 40% of 30%(face disciplinary action) and 70% of 60%(do not
face disciplinary action). So
[tex]0.4*0.3 + 0.7*0.6 = 0.12 + 0.42 = 0.54[/tex]
54% of the students from the high school go on to college
1) All birds can fly. (2) Penguins are birds. Therefore, (3) Penguins can fly. Question 1 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.
Answer:
The correct Answer is - Fails the true premises test and passes the proper form test.
Step-by-step explanation:
Given,
The first premise is - All birds can fly
The second premise is - Penguins are birds
Conclusion - Penguins can fly
As we know that all birds cannot fly , so first premise is not true.
Penguins is a bird , it is true . So second premise is true.
As , to pass the true premise test, both premises has to be true
But here, in this question , one premise is not true
So, it Fails the true premises test.
As the argument is valid
If the premises is true , then the conclusion is valid
So, it passes the proper form test.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+4)
41°
81°
The occupancy of the room must be less than 437 people
a) p 437
c) p ≤ 437
d) p ≥ 437
pls pls pls help i’m so confused
Answer:
x=50
hope it helps........
Answer:
50°
Step-by-step explanation:
Thousands of years ago, a group of people called the Sumerians decided that, since a year is roughly 360 days, 360 was a nice number of parts to split a circle into (that, and it's a very easy number to divide up into smaller parts without dealing with
if you can help please do :)
Step-by-step explanation:
A
[tex]180 - 60 - 70 = 50 \\x = 180 - 50 = 130 \\ x = 130[/tex]
Which theorem or postulate proves that △ABC and △DEF are similar?
The two triangles are similar by which postulate or theorem?
SAS Similarity Theorem
SSS Similarity Theorem
AA Similarity Postulate
Answer:
AA Similarty
Step-by-step explanation: We are given that two angles are congruent so we use AA SImilarity. Stating that if two angles are congruent, then the figures are similar.
The postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.
What is the AA Similarity Postulate?The AA similarity postulate states that when two triangles have two pairs of corresponding angles that are congruent to each other, the two triangles are regarded as similar triangles.
Thus, triangles ABC and DEF have:
two pairs of congruent angles - ∠B ≅ ∠E and ∠C ≅ ∠F.
Therefore, the postulate that can be used to prove that triangles ABC and DEF are similar triangles is: C. AA Similarity Postulate.
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20x-3y = 4 and 3x -y = -5
Answer:
Step-by-step explanation:
3x-y=-5
y=3x+5
20x-3(3x+5)=4
20x-9x-15=4
11x=19
x=[tex]\frac{19}{11}[/tex]
y=3([tex]\frac{19}{11}[/tex])+5
y=[tex]\frac{112}{11}[/tex]
an area of 6 yards is equal to 54 square feet. 9 square yards is equal to how many square feet? explain or show your reasoning
Answer:
81 squared feet
Step-by-step explanation:
find the height of the cylinder if the volume is 340, and the length is 3
Answer:
113
Step-by-step explanation:
divide the volume with the length
4.) What is the better buy?:
$5 for 8 pens
OR
$32.50 for 50
pens?
Show your work.
Answer:
$5 for 8 pens
Step-by-step explanation:
0.625 times 8= 5 dollars
0.625 times 50= 31.25
which is way cheaper
Answer:
5 for 8 pens
Step-by-step explanation:
I did it on a paper.
Lol