Answer:
A
Step-by-step explanation:
|4 − y| = 1
drop absolute value lines
create two problems
4 - y = 1
and
4 - y = -1
solve for y
What is the approximate circumference of a circle with a radius of 4?
1. 12.57
2. 25.13
3.50.27
4. 16
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 4.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The approximate circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]
2.) 25.13 ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]
Therefore, the circumference of the circle is ≈ 25.13.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Construct a data set that has the given statistics.
n = 7
x = 12
S = 0
Answer:
The desired data-set is: {12,12,12,12,12,12,12}
Step-by-step explanation:
n = 7
Data set of 7 elements.
x = 12
Mean of 12
S = 0
Standard deviation of 0.
Desired data-set:
Since the desired standard deviation is 0, all the elements in the data-set will be the same. Since the mean is 12, all elements is 12. 7 elements.
The desired data-set is: {12,12,12,12,12,12,12}
Mr. Akika has 33 18 cent and 32 cent stamps all told. The stamps are worth $9.02. How many of each kind of stamp does he have? Mr. Akika has 18 cent stamps and 32-сent stamps Enter your answer in each of the answer boxes.
Answer:
Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
Step-by-step explanation:
Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:
10 x 0.18 + 23 x 0.32 = 9.16
11 x 0.18 + 22 x 0.32 = 9.02
Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.
A department store buys 100 shirts at a cost of $2000 and sells them at a selling price of $25 each. Find the percent markup.
Answer:
Mark up % = 25%
Step-by-step explanation:
Cost of 100 shirts = 2000
Cost of 1 shirt = 2000/100 = 20
Selling price of 1shirt = 25
[tex]\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%[/tex]
a map shows that the top of a hill is 200m above sea level and the bottom of a lagoon is 15m below sea level. express these distancesat a distances from sea level and what is difference between the two heights
Answer:
200 m
-15 m
215 m
Step-by-step explanation:
Given :
Top of hill = 200 m above sea level ; height of hill top is positive 200m = 200 m
Bottom of lagoon = 15m *below sea level ; bottom of lagoon = - 15m
We have related the height of the two points with respect to sea level ; points above sea level are represented as positive ; points below are represented as negative.
Difference between the two heights :
Hill top - bottom of lagoon :
200 m - (-15) m
200 m + 15 m
215 m
Difference between the heights is 215 m
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below in years. Find the mean retirement age.56 65 62 53 68 58 65 52 56
Answer:
59.44
Step-by-step explanation:
Nine employees If an electronic company retired last year
The retirement ages are listed below
56, 65, 62, 53, 68, 58, 65, 52, 56
The mean retirement age can be calculated as follows
= 56+65+62+53+68+58+65+52+56/9
= 535/9
= 59.44
Hence the mean retirement age is 59.44
there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
U.S. women aged 20 or over have a mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl. Assume that the distribution is Normal. What proportion of women have HDL below 45 mg/dl or less?
Answer:
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
Step-by-step explanation:
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.
Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.
This means that [tex]\mu = 55, \sigma = 15[/tex]
What proportion of women have HDL below 45 mg/dl or less?
This is the p-value of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 55}{15}[/tex]
[tex]Z = -0.67[/tex]
[tex]Z = -0.67[/tex] has a p-value of 0.2514
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
Please help answer these math riddles
Answer:
Challenge B is 1.827
Step-by-step explanation:
I need more letters to submit this.
which number represents 4%
Answer:
4
Step-by-step explanation:
4x(a-b)+3(b-a) factorise
Answer:
-(a-b) (3-4x). hope this helps
can anybody help me please? I'll give brainlest for correct answer
Answer:
1) 40 degrees
2) 140 degrees
3) 110 degrees
4) 70 degrees
5) 70 degrees
Explanation:
Use the curved protractor they have created you, and count every dash as 10 degrees. Keep in mind that the whole thing equals 180 degrees, and half would equal 90 degrees. Some call it a right angle.
Let me know if my answer is correct for the other users that will see this message. Thank you!
-kiniwih426
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
The Coffee Counter charges $8.00 per pound for Kenyan French Roast coffee and $10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for $9.00 per pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for $9.00 per pound.
Answer:
x = 9
y = 9
Step-by-step explanation:
Given :
Let :
Kenyan French roast coffee = x
Cost per x = $8
Sumatran Coffee = y
Cost per y = $10
x + y = 18 - - - - (1)
8x + 10y = 9 * 18 ;
8x + 10y = 162 - - - - (2)
From (1):
x = 18 - y
Put x = 18 - y in (2)
8(18 - y) + 10y = 162
144 - 8y + 10y = 162
2y = 162 - 144
2y = 18
y = 9
x = 18 - y
x = 18 - 9
x = 9
A teacher offers 8 extra credit assignments.what is the domain of this graph
You might need: Calculator
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these
flowers rapidly increases as the trees blossom.
The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts,
L(t), is modeled by the following function:
5.9
L(t) = 750.
(1)
Complete the following sentence about the rate of change in the locust population.
2
The population of locusts gains of its size every
3
days.
Answer:
5.9
Answer directly from Khan
If one point on a graph is (5,5) and the slope of the line is -4, write the equation of the line in slope-
intercept form.
Answer:
y = -4x + 25
Step-by-step explanation:
[tex](x_1, y_1) = (5, 5) \ ; \ slope ,\ m = -4[/tex]
Equation of line :
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 5) = -4(x-5)\\y - 5 = -4x + 20\\y = -4x +20 + 5\\y = -4x + 25[/tex]
Answer:
0=4x+y-5
Step-by-step explanation:
slope(m)=-4
y-intercept(c)=5
now, the equation joining the straight line satisfy the equation,
y=mx+c
or, y= -4x+5
or, 4x+y-5=0
or, 0=4x+y-5
it is the required equation.
Teresa received a $90 gift card for a coffee store. she used it in buying some coffee that cost her $8.21 per pound. After buying the coffee, she had $65.37 left on her card. how many pounds of coffee did she buy?
Answer:
3 Pounds of Coffee
Step-by-step explanation:
To find out how much she spent on the pounds of coffee, you would have to takeaway $65.37 away from the total of $90 which will give you $24.63, which is how much she has spent on the coffee. To find out how many pounds of coffee she bought, you would have to divide $24.63 by $8.21 giving you 3, which is how many pounds of coffee Teresa bought.
Much appreciated if this is marked as brainliest :)
A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present.
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let
[tex]A \to Amount[/tex]
[tex]t \to time[/tex]
Given
[tex]A(0) = 200[/tex] --- initial
[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes
Required
[tex]A(10)[/tex] --- amount left after 5 minutes
To do this, we make use of:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(5) = 160[/tex] implies that:
[tex]160 = 200 * e^{k*5}[/tex]
Divide both sides by 200
[tex]0.80 = e^{k*5}[/tex]
Take natural logarithm of both sides
[tex]\ln(0.80) = \ln(e^{k*5})[/tex]
[tex]\ln(0.80) = \ln(e^{5k})[/tex]
[tex]\ln(0.80) = 5k\ln(e)[/tex]
So, we have:
[tex]-0.223 = 5k[/tex]
Divide by 5
[tex]k = -0.045[/tex]
So, the function is:
[tex]A(t) = A(0) * e^{kt}[/tex]
[tex]A(t) = 200 * e^{-0.045t}[/tex]
The amount after 10 minutes is:
[tex]A(10) = 200 * e^{-0.045*10}[/tex]
[tex]A(10) = 200 * e^{-0.45}[/tex]
[tex]A(10) = 127.53[/tex]
Dwayne improved his score on Commander
Quest from 65,720 to 88,722. By what percent
did his score increase?
Answer:
35%
Step-by-step explanation:
What was the numerical difference?
88722 - 65720 = 23002
Which number is the denominator for the % increase?
It must be 65720.
23002/ 65720 * 100 = 35%
So if we take 35% of 65720 and add it on to 65720 what do we get.
35/100 * 65720 + 65720 = 88722 just as we should.
Help me please if you can't don't touch it
Answer:
The correct answer is A
Step-by-step explanation:
someone asap
A small factory has 3 machines for producing protractors. The high speed machines produces 61% the protractors but 6% of its output is defective. The medium speed machine produces 24% of the protractors, of which 4%o are defective. The low speed machine, which has a defective rate of 2% produces the remainder.
{a) Draw a tree diagram.
(b) What is the probability of a protractor not being defective given it came from a low speed machine?
(c). Knowing that a protractor is defective, what ls the probability it came from the high speed machine?
graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]
Given:
The y-intercept of a line = 6
The slope of the line = [tex]-\dfrac{3}{2}[/tex]
To find:
The graph of the given line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get
[tex]y=-\dfrac{3}{2}x+6[/tex]
At [tex]x=0[/tex],
[tex]y=-\dfrac{3}{2}(0)+6[/tex]
[tex]y=0+6[/tex]
[tex]y=6[/tex]
At [tex]x=2[/tex],
[tex]y=-\dfrac{3}{2}(2)+6[/tex]
[tex]y=-3+6[/tex]
[tex]y=3[/tex]
Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.
The required graph is shown below.
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
See below.
Step-by-step explanation:
Alternate Interior Angles - 1
Alternate Exterior Angles - 2
Corresponding Angles - 4
Same-side Exterior Angles - 5
Same-side Interior Angles - 3
Answer:38292
A
Step-by-step explanation:w
jkwlw44444
AD=7, BD=3, DE=6. Find BC
Answer:
the answer to this is 10 i think sorry if it is wrong
Step-by-step explanation:
The triangles are similar and the measure of BC = 60/7 units
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔABC
Let the second triangle be ΔADE
Now , ΔABC and ΔADE are similar triangles
where corresponding sides of similar triangles are in the same ratio
So , AD / AB = DE / BC
On simplifying , we get
7 / 10 = 6 / BC
Multiply by BC on both sides , we get
BC ( 7/10 ) = 6
Multiply by 10 on both sides , we get
7BC = 60
Divide by 7 on both sides , we get
BC = 60/7
Hence , the measure of BC = 60/7 units
To learn more about similar triangles click :
https://brainly.com/question/29378183
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Get brainiest if right!!!
10points if right!!
Answer:
the next three terms, 0.075,0.0375,0.01875 (common ratio 0.5)
the formula is 0.3*0.5^n-1
the formula for finding the nth term of a geometric sequence preset would be
a*r^n-1
a is first term
r is common ratio
Step-by-step explanation:
Which pair of angles are vertical angles?
A)
B)
C)
D)
Answer:
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal.
here,vertically opposite angles are
angle RQW and angle TQU
angle RQV ang angle SQU
angle SQR and angle UQV
angle WQV and angle SQT
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
What is the value of k?
9514 1404 393
Answer:
k = 10
Step-by-step explanation:
The exterior angle is equal to the sum of the remote interior angles.
115° = (4k +5)° +(6k +10)°
115 = 10k +15 . . . . . . . . . . . divide by °, simplify
100 = 10k . . . . . . . . . . . . subtract 15
10 = k . . . . . . . . . . . . . . divide by 10
What is the probability that Omar will get to drive the car after the first roll?
Answer:
1/6
Step-by-step explanation:
For Omar to drive, he has to get a six when a die is rolled ;
The probability that Omar will get to drive his car is :
Required outcome = (6) = 1
Total possible outcomes = (1,2,3,4,5,6)
P(rolling a 6) = required outcome / Total possible outcomes
P(rolling a 6) = 1/6
Probability of Omar driving his car is 1/6
