Answers
Answer:
y = 98
z = 21
Step-by-step explanation:
in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:
y = 180 - 82
we get y = 98
<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:
4z + 14 = 98
subtract 14 from both sides:
4z = 84
divide both side by 4 to find z:
z = 21
Answer:
y = 82
z = 21
Step-by-step explanation:
You can get y almost immediately.
82 and y are supplementary. Interior angles on the same side of the transversal = 180
82 + y = 180 Subtract 82 from both sides
y = 180 - 82
y = 98
y and 4z + 14 are equal.
y = 4z + 14 Substitute for y
98 = 4z + 14 Subtract 14 from both sides.
98-14 = 4z
84 = 4z Divide by 4
84/4 = 4z/4
21 = z
Related Questions
What’s three more than seventeen?
Answers
hope this helps :)
An average scanned image occupies 0.5 megabytes of memory with a standard deviation of 0.2 megabytes. If you plan to publish 80 images on your web site, what is the probability that their total size is between 49 megabytes and 53 megabytes?
Answers
Answer:
Approximately [tex]0.012[/tex] (that's approximately [tex]1.2\%[/tex].)
Step-by-step explanation:
The question did not specify the exact distribution of the size of those images. However, the sample size [tex]n = 80[/tex] is a rather large number. Assume that:
the sizes of these [tex]80[/tex] images follow the same distribution, with mean [tex]\mu = 0.5[/tex] megabytes and standard deviation [tex]\sigma = 0.2[/tex] megabytes.the size of each image is independent of one another.If both assumptions are met, the central limit theorem would apply. This theorem would suggest that the sum of the sizes of these [tex]80[/tex] image (a random variable) will approximately follow a normal distribution. The mean of that sum would be approximately [tex]n\cdot \mu= 80 \times 0.5[/tex]. The standard deviation of that sum would be approximately [tex]\sigma\, \sqrt{n} = 0.2\times \sqrt{80}[/tex].
Let [tex]\displaystyle \Sigma X[/tex] denote the sum of these eighty sizes.
Under these assumption, [tex]\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left(n\, \mu,\, \sigma\,\sqrt{n}\right)[/tex].
That is: [tex]\displaystyle \Sigma X \stackrel{\text{app.}}{\sim} \mathrm{N}\left({80\times 0.5},\, \left(0.2\times \sqrt{80}\right)^2}\right)[/tex].
The question is asking for the probability [tex]P(49 \le \Sigma X \le 53)[/tex]. Therefore, calculate the [tex]z[/tex]-score that corresponding to [tex]\Sigma X = 49[/tex] and [tex]\Sigma X = 53[/tex]:
For [tex]\Sigma X = 49[/tex], the [tex]z[/tex]-score would be [tex]\displaystyle \frac{\sum X - n\, \mu}{\sigma \sqrt{n}} = \frac{49 - 80 \times 0.5}{0.2\times \sqrt{80}} = 2.25[/tex].For [tex]\Sigma X = 53[/tex], the [tex]z[/tex]-score would be [tex]\displaystyle \frac{\sum X - n\, \mu}{\sigma \sqrt{n}} = \frac{53 - 80 \times 0.5}{0.2\times \sqrt{80}} = 3.25[/tex].Make use of a [tex]z[/tex]-table to find these two probabilities:
[tex]P(X \le 49) = P(Z < 2.25) \approx 0.98778[/tex].[tex]P(X \le 53) = P(Z < 3.25) \approx 0.99942[/tex].Calculate the probability that this question is asking for:
[tex]\begin{aligned}& P(49 \le \Sigma X \le 53) \\ &= P(\Sigma X < 53) - P(\Sigma X < 49) \\ & \approx 0.99942 - 0.98778 \approx 0.012 = 1.2\%\end{aligned}[/tex].
1. Slope: (put your answer in the form 3/4)
Answers
Answer:
1/4x
Step-by-step explanation:
The slope of any graph can be determined with the same formula
Change in Y
Change in X
Fill in the fraction
1
—
4
Thats how you get the slope.
I hope this helps!
pls give brainliest and thanks
Which decimal has the greatest value ? 0.2 , 0.27 , 0.029 , 0.231
Answers
Answer:
0.27
Step-by-step explanation:
Greatest decimal value is 0.27
What is decimal value?Decimals are based on the preceding powers of 10
Given decimal values are
0.2,0.27,0.029,0.231
Order the decimal numbers from low to high
0.029<0.2<0.231<0.27
Hence, the greatest decimal value is 0.27
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Hurry plz!!
For parts (b) and (c), type each answer in the box below.
b. Explain why the opposite of a positive number will always be a negative
number
C. Explain why zero is its own opposite number.
Answers
1 1/6 as an improper fraction
Answers
Answer:
The mixed number 1 1/6 converted into an improper fraction is 7/6.
Step-by-step explanation:
The improper fraction representation after converting of 1 1/6 is 7/6 where numerator is 7 and denominator is 6
To convert a mixed number to an improper fraction, we follow these steps:
Multiply the whole number by the denominator of the fraction.
In this case, multiply 1 (the whole number) by 6 (the denominator), which gives 6.
Add the numerator to the result obtained in step 1.
The numerator in this case is 1. Adding 1 to 6 gives 7.
Place the result from step 2 as the numerator of the fraction, and keep the denominator the same.
The denominator remains 6.
Therefore, the improper fraction representation of 1 1/6 is 7/6.
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66% of 62 is...? **SHOW YOUR WORK** PLEASE HELP!! :'(
Answers
Step-by-step explanation:
divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry
Answer:
Fraction:
[tex]\frac{1023}{25}[/tex]
Decimal:
40.92
Mixed Number:
[tex]40\frac{23}{25}[/tex]
Step-by-step explanation:
66% is the same this as [tex]\frac{66}{100}[/tex]. You can simplify [tex]\frac{66}{100}[/tex] to [tex]\frac{33}{50}[/tex]. Then, find [tex]\frac{33}{50}[/tex] of 62, which is the same thing as [tex]\frac{33}{50}[/tex] x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).
Hope this helps! :)
The graphs below have the same shape. What is the equation of the red
graph?
Answers
one way to tell this is correct is the y-intercept is at positive 4
Answer:
C. F(x) = x^2 + 4
Step-by-step explanation:
Took the test
Find - square root 36
A.+6
B.-6
C.6
D.18
Help the I
Answers
Answer:
A.
Step-by-step explanation:
There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S. According to these figures, what is the approximate percentage of U.S. households with pet rabbits?
Answers
Answer:
C
Step-by-step explanation:
Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.
6,678,000/126,200,000 ≈ 0.05 = 5%
Answer:
C
Step-by-step explanation:
you have to divde the household pets
It Snowed 1/2 inch on Saturday and 1 3/5 inches on Sunday. How much did it snow altogether, total?
Answers
Answer:
Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.
Step-by-step explanation:
Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. Michelin wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should Michelin announce
Answers
Answer:
The minimum guaranteed mileage is [tex]x = 71489.55[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 67900[/tex]
The standard deviation is [tex]\sigma = 2050[/tex]
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as
[tex]P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X \ge x ) =1- P( Z<z) = 0.04[/tex]
=> [tex]P( X \ge x ) = P( Z<z) = 0.96[/tex]
=> [tex]z = \frac{ x - 67900 }{ 2050}[/tex]
From the z table, the critical value corresponding to 0.96 to the left of the curve is
[tex]z = 1.751[/tex]
So
[tex]1.751 = \frac{ x - 67900 }{ 2050}[/tex]
=> [tex]x = 71489.55[/tex]
Jill and Erika made 5 gallons of lemonade for their lemonade stand.
Part1: How many quarts did they make?
Part2: If they charge $2.00 per quart, how much money will they make if they sell it all?
Answers
4 * 5 = 20 quarts
Part 2: 20 * 2 = 40
They will make $40.00
Which expression is equivalent to -3(4x-0.50)?
PLEASEEEEEEEEEEEEE HELPPP
Answers
Final Answer: [tex]-12x + 1.5[/tex]
Steps/Reasons/Explanation:
Question: Which expression is equivalent to [tex]-3(4x - 0.50)?[/tex]
Step 1: Expand by distributing terms.
[tex]-3[/tex] × [tex]4x - 3[/tex] × [tex]-0.50[/tex]
Step 2: Simplify [tex]-3[/tex] × [tex]4x[/tex] to [tex]-12x[/tex].
[tex]-12x - 3[/tex] × [tex]-0.50[/tex]
Step 3: Simplify [tex]3[/tex] × [tex]-0.50[/tex] to [tex]-1.5[/tex].
[tex]-12x - (-1.5)[/tex]
Step 4: Remove parentheses and add.
[tex]-12x + 1.5[/tex]
~I hope I helped you :)~
What power of 10 makes number 3 equal 3,000
Answers
Answer:
3 power of 10 makes number 3 equal 3000
Step-by-step explanation:
10*10*10=1000
3*1000=3000
Answer:
3 x 10^3
Step-by-step explanation:
3 x 10^3
3 x 1000
3000
hope this helps, pls mark brainliest :D
The cost of 3 scarves is $26.25. What is the unit price? (cost per scarf)
Answers
$8.75 because 26.25 divided by 3 equals $8.75.
hope this helps
Find the are of the semi circle.Either enter an exact answer in terms of pie or use 3.14 and enter your answer as a decimal.The raduis is 4
Answers
I’m not sure of this is right
I haven’t done this in like 2 years
describe the relationship between the similarity ratio of two triangles and the ratio of their areas. help plz
Answers
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.
HELPPP I NEED AN ANSWER ASAP
Answers
Answer:
2, 4, and 6 (b, d, f)
Step-by-step explanation:
dont really know how to explain
Find the value of the variable that results in congruent triangles
1.
Answers
Answer:
x = 26
Step-by-step explanation:
m<B = m<E = (x + 17)°
180 - (25 + 112) = (x + 17) (sum of ∆)
180 - 137 = x + 17
43 = x + 17
Subtract both sides by 17
43 - 17 = x
x = 26
One year ago, Lindsey deposited $250 into a savings
account. Her balance is now $253. Two years ago, Jenn
deposited $250 into a savings account. Her balance is
now $257.50. Which account has the greater simple
interest rate? Explain.
Answers
Answer:
Jenn's account
Step-by-step explanation:
Given that:
LINDSAY'S ACCOUNT :
Principal = amount deposited = $250
Final Amount after 1 year = $253
Period (t) = 1 year
JENN'S ACCOUNT :
Principal = amount deposited = $250
Final Amount after 2 years = $257.50
Period (t) = 2 year
Using the relation :
A = P(1 + rt)
A = final amount ; r = interest rate ; t = time
Lindsay :
253 = 250(1 + r(1))
253 = 250 + 250r
253 - 250 = 250r
3 = 250r
r = 3/250
r = 0.012 ; (0.012 * 100) = 1.2%
Jenn:
257.50 = 250(1 + r(2))
257.50 = 250 + 500r
257.50 - 250 = 500r
7.50 = 500r
r = 7.50/500
r = 0.015 ; (0.015 * 100) = 1.5%
Hence, JENN'S deposit has the greater interest rate. (1.5 > 1.2)%
Answer:Sample response:Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.
Step-by-step explanation: please make me brainliest
Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
A, 2 5/8 cups
Step-by-step explanation:
Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.
Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each
Answers
Answer:
Step-by-step explanation:
You know the total will be $70.
She bought food, let's call that "F"
She spent $26 more on clothes than food. So her clothes purchase is "F+26".
So let's set-up the equation this way:
food + clothing = Total Spent
F + F + 26 = 70
2F + 26 = 70 (subtract 26 from both sides of the = sign)
2F = 44 (Divide both sides so you find out how much was spent on "F" or food.)
F = 22 (But the question doesn't stop there.)
Deborah spent $22 on food. (Remember, she spent $26 more on clothes, so we have to use our "clothes" equation? ) Deborah spent $48 on clothes. She spent a total of $70 on her purchases.
0.50(61 + 3s)
Use the Distributive Property to expand the expression.
Answers
Answer:
30.5 + 1.5s
Step-by-step explanation:
HELP PLEASE I GIVE BRAINLIEST
Answers
Answer:
30
Step-by-step explanation:
Perimeter of rectangle = 5y - 1 + 4y + 2 + 5y - 1 + 4y + 2
= 18y + 2
18y + 2 = 128
18y = 128 - 2
= 126
y = 126 ÷ 18
y = 7
Length of AD = 4y + 2
= 4(7) + 2
= 28 + 2
= 30
Write a story problem using the measurement interpretation of division for the following ¾ ÷ ⅛
Answers
Answer:
there was 3/4 of a pizza left and gets divided with 8 people
Step-by-step explanation:
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
¾ and ⅛
Then the division between the numbers 6 and 1/3 will be given by putting a division sign between them. Then we have
⇒ ¾ ÷ ⅛
⇒ (¾) / (⅛)
⇒ (¾) × (⁸/₁)
⇒ 6
The measurement interpretation of the division of the expression ¾ ÷ ⅛ will be 6.
More about the Algebra link is given below.
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Find the LCM of the denominators in these fractions
5/6 and 1/14
Answers
Answer:
35/42 and 3/42
Step-by-step explanation:
Multiply by 3.
HOPE THIS HELPS :)
The LCM of the denominators in the fractions 5/6 and 1/14 is 42.
What is Least Common Multiple(LCM)?The least common multiple is defined as the least positive integer that is dividable by both given numbers.
A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.
To find the least common multiple (LCM) of two numbers, you can list the multiples of each number and find the smallest number that is a multiple of both.
The multiples of 6 are 6, 12, 18, 24, 30, and so on. The multiples of 14 are 14, 28, 42, 56, and so on. The smallest number that is a multiple of both 6 and 14 is 42, so the LCM of 6 and 14 is 42.
Therefore, the denominators in the fractions 5/6 and 1/14 have an LCM of 42.
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In the lab, Karen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much Solution A as Solution B. Solution A is 10% alcohol and Solution B is 15% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 180 milliliters of pure alcohol?
Answers
Answer:
She uses 162 millitiers if Solution B.
Step-by-step explanation:
180 - 10% = 162
Solution A = 18 milliliters
Soultion B = 162 millitiers
An envelope is 60 centimeters wide. About how many inches wide is the envelope? (1 inch ≈ 2.5 centimeters)
Answers
Answer:
60/2.5 = 24 cm
Step-by-step explanation:
if you are satisfied with the results then plz make me genius
Answer:
The answer is 24 inches.
Step-by-step explanation:
Given:
1 inch = 2.5 cm
or, 1 cm = 1/2.5 inch............... eqn (i)
Now,
Wideness of envelope = 60 cm
= 60 (1/2.5) inches [From eqn (i)]
= 60/2.5 inches
= 24 inches Ans
Triangle PQR is rotated 180 clockwise about point m and the image of point p is p and the image of point r is r what are the coordinates of the image of point Q
Answers
Answer:
Rotating 180 clockwise would mean that Q is Q if r is r, the coordinates of it pointing to Q would be in your picture , can I see a picture of the problem?
Step-by-step explanation: