Answers
Answer:
First table's unit rate is -1.6
Second table's unit rate is 3.5
Step-by-step explanation:
First table:
[tex]\Delta y/\Delta x =(-16--8)/(10-5)= -8/5[/tex]
and this is constant for any pair of (x, y) values of the table.
So the unit rate is: -8/5 = -1.6
Second table:
[tex]\Delta y/\Delta x =(21-7)/(6-2)=14/4=7/2[/tex]
and the rate is constant for any pair of (x, y) values of the table.
So the unit rate is: 7/2 = 3.5
Related Questions
uppose that 500 parts are tested in manufacturing and 10 are rejected. Test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.03 against Upper H Subscript 1 Baseline colon p less-than 0.03 at . Find the P-value.
Answers
Answer:
The value is [tex]p-value = 0.094963[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 500
The number of rejected parts is k = 10
The null hypothesis is [tex]H_o : p = 0.03[/tex]
The alternative hypothesis is [tex]H_1 : p < 0.03[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{10}{500}[/tex]
=> [tex]\^ p = 0.02[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{p (1-p)}{n} } }[/tex]
=> [tex]z = \frac{0.02 - 0.03 }{ \sqrt{\frac{ 0.03 (1-0.03)}{500} } }[/tex]
=> [tex]z = -1.31080[/tex]
From the z table the probability of (Z < -1.31080) is
[tex]p-value = P(Z < -1.31080) = 0.094963[/tex]
4/5 to a decimal show work
2/3 to a decimal show work
Answers
Answer:
4/5= 0.8
2/3= 0.66666666667
Step-by-step explanation:
Write the equation of a line that passes through the point (-2, 1) and has a slope of 4. A. y = 4x − 7 B. y = 4x + 1 C. y = 4x + 3 D. y = 4x + 9
Answers
Answer: D. y = 4x + 9
Step-by-step explanation:
Substitute the values of y and x from the given coordinate into the slope-intercept form using the given slope. Then solve for b
y = mx + b Given: Slope = 4 Coordinate (-2, 1)
1 = 4(-2) + b
1 = -8 + b add +8 to both sides, "cancels" -8 on right
1+ 8 = b
9 = b Rewrite equation using original slope and calculated b
y = 4x + 9
Select all the conditions for which it is possible to construct a triangle. A.A triangle with angle measures , , and B.A triangle with side lengths 3 cm, 7 cm, and 11 cm C.A triangle with side lengths 6 in, 13 in, and 12 in D.A triangle with side lengths 8 cm and 5 cm and a angle E.A triangle with angle measures and , and a 9 cm side length
Answers
Answer:
As
Step-by-step explanation:
Aaa
The cost of the lunches for the field trip can be represented by the expression:
4(29) + 4(6)
Identify the values to make these expressions true.
Expand 29 to create an equivalent expression with friendly numbers.
40 ) + 4(6)
Distribute the 4
Evaluate the multiplication
80 + 36 + 24 =
Answers
Answer: 4(20+9)+4(6) thats the first one
4(20)+4(9)+4( 6) thats the second one
80+36+24=140 that is the third
Step-by-step explanation:
Answer:
4(20+9)+4(6)
4(20)+4(9)+4( 6)
Step-by-step explanation:
How do you do this question?
Answers
Answer:
C, A, D, B
Step-by-step explanation:
(a) We need to compare the sum of this series to 3/4 and 31/36. So we just need to find the sum within 1/36.
1 / (n + 1 + 1)² ≤ 1/36
(n + 2)² ≥ 36
n + 2 ≥ 6
n ≥ 4
So we just need to find the partial sum of the terms from n=0 to n=4.
1 − 1/4 + 1/9 − 1/16 + 1/25 ≈ 0.839
We can use this to approximate the actual sum within 1/64.
(b) 1 − 1/7 + 1/49 − 1/343 + ...
We can rearrange this as the difference between two geometric series:
(1 + 1/49 + 1/2401 + ...) − (1/7 + 1/343 + 1/16807)
∑₀°° (1/49)ⁿ − ∑₀°° 1/7 (1/49)ⁿ
1 / (1 − 1/49) − (1/7) / (1 − 1/49)
(6/7) / (48/49)
7/8
So from smallest to largest, the answer is C, A, D, B.
Picking from 4 theme parks, 6 passes, and 5 food options.
Answers
Answer:
I don't get this..
Step-by-step explanation:
pls help i have 2 minutes find length
Answers
Answer:
2.4 cm
Step-by-step explanation:
i hope that I helped you.
What is m,y-intercept and the y
Answers
Answer:
m=2x-40
y intercept = -40
M is the slope
So plug in ur given slope
Can someone please help me on this
Answers
HELPPP ASAPPP
write an equation for each line
line L(the red line)___
line p(the blue line)___
line m(the black line)___
line n(the green line)___
Answers
Answer: Line L : Y=4
Line P : X=-4
Line M : Y= -2x+4
Line N : Y= 1x-1
Step-by-step explanation:
Write
179/200
as a decimal number.
Answers
Answer:
0.898
Step-by-step explanation:
You divide 179 by 200 :)
The decimal representation of 179/200 is 0.895.
What is Number system?A number system is defined as a system of writing to express numbers.
The given fraction is One hundred seventy nine divided by two hundred
179/200
We need to convert this fraction to the decimal value.
To convert the fraction 179/200 to a decimal, divide the numerator (179) by the denominator (200):
179 ÷ 200 = 0.895
So, the decimal representation of 179/200 is 0.895.
Hence, the decimal representation of 179/200 is 0.895.
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Lines E, F, and G are parallel lines cut by transversal H as shown below. What is the value of
a+b+c+d?
Answers
Answer:
okay now i get it its not easy at first but look at it for a bit and yoll get it
Suppose you have a $60,000 loan with an annual percentage rate of 8% for 25 years.
what are the monthly payments
Answers
if x=3 and y=2 then find the value of 2x²-xy+y²-4x
Answers
Answer:
4Step-by-step explanation:
Put x = 3 and y = 2 to the expression 2x²- xy+y²- 4x:
2(3)² - (3)(2) + 2² - 4(3) use PEMDAS
=2(9) - 6 + 4 - 12
= 18 - 6 + 4 - 12
= (18 + 4) - (6 + 12)
= 22 - 18
= 4
IMPLACE
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid.
Part A
Which decimal is greater than Ryan's decimal and less than Sarah's decimal?
A. 0.74
B. 0.81
C. 0.65
D. 0.89
Answers
S: 80/100=0.8
So the answer is A
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heather has red and green pens in her stationery cupboard. the ratio of green pens to the total number of pens is 4:11
what fraction of heathers pens are green
what is the ratio of green pens to red pens
heather has 56 red pens. how many green pens does she have
Answers
Step-by-step explanation:
Pen colors given = Red and green
Ratio;
Green pen : Total pen
4 : 11
Solution:
1. what fraction of heathers pens are green;
Fraction = [tex]\frac{green pen}{total pen}[/tex] = [tex]\frac{4}{11}[/tex]
2. Ratio of green pens to red pens:
let the multiples = x
Green pen Red pen Total pen
4x ? 11x
Red pen = 11x - 4x = 7x
Ratio of green pen to red pen:
4 : 7
3. heather has 56 red pens. how many green pens does she have
Number of red pen = 56;
Number of green pens = ?
Since the ratio is;
4 : 7
Number of green pen = [tex]\frac{56 x 4}{7}[/tex] = 32
Mike invests $12,500 at 9% for a term of 12 years. What is the interest earned for his investment?
Answers
Answer:
$13.5
Step-by-step explanation:
l= P×R×T/100
I= 12,500×9×12/100
l= $13,5
The interest earned for his investment after 12 years is $13,500.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, P=$12,500, rate of interest=9% and time period=12 years.
Here, simple interest = (12500×9×12)/100
= 1350000/100
= 13,500
So, the interest is $13,500
Therefore, the interest earned for his investment after 12 years is $13,500.
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The point (2,0) lies on the graph of the function y = 2x^2 - 8x + 6.
A. True
B. False
Answers
y= 2(2)^2 -8(2)+6 = 2(4)-16+6 = 16 - 16 + 6 = 6
since y=6 and not 0, the answer is B (false)
An ice sculpture is melting at a constant rate. Its weight changes -1 4/5 pounds every hour. What is the total change in weight of the sculpture after 3 1/2 hours
Answers
Answer:it said i was wrong and the correct answer should have been -6 3/10
Step-by-step explanation:
The total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.
What is rate of change of function?"The rate of change function is the rate at which one quantity is changing with respect to another quantity."
Given: The weight of an ice sculpture changes [tex]-1\frac{4}{5}[/tex] pounds every hour.
We need to find the total change in weight of the sculpture after [tex]3\frac{1}{2}[/tex] hours.
i.e., the rate of change of an ice sculpture per hour is -1 4/5 pound.
Total change in weight of the sculpture after t hours
= change in the weight of the sculpture per hour × t
= [tex](-1\frac{4}{5}) \times (3\frac{1}{2} )[/tex]
= [tex](-\frac{9}{5} ) \times (\frac{7}{2} )[/tex]
= [tex]-\frac{63}{10}[/tex]
= [tex]\bold{-6\frac{3}{10}}[/tex] pounds
Therefore, the total change in weight of the sculpture after 3 1/2 hours is, [tex]\bold{-6\frac{3}{10}}[/tex] pounds.
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Convert the measurement:
48 inches to feet
O 5 feet
O 4 feet
2 feet
6 feet
Answers
Answer:
4 feet
Step-by-step explanation:
Well, if a foot is 12 inches and you have 48 inches to convert to feet, all you need to do is divide 48 by 12. So,
48/12=4
Therefore, the answer is 4 feet!
Have an amazing day...I hope this helped you out!! C:
Question 6 of 10
What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = } - 7?
A. The graph of f(x) is shifted 7 units to the right.
B. The graph of f(x) is shifted 7 units down.
C. The graph of f(x) is shifted 7 units to the left.
O D. The graph of f(x) is shifted 7 units up.
SIR
Answers
Answer:
D I'm pretty sure
Step-by-step explanation:
Answer:
Its B. i just did this question.
Step-by-step explanation:
Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.
Answers
Answer:
5 km
Step-by-step explanation:
to convert m to km you have to divide by 1000.
5000/1000=5
hope this helps!
Show how you know 7+7=14 can help you find 7+9.
Answers
Answer:
so 7+7=14
then u add 2 to 14
which = 16
7+9=16
the u - the 2
and y get 14
that's how u can make sure ur answer is right
Answer:
Briggs certification doc moo
Step-by-step explanation:
dietary icings taken dash cm
ANSWER PLSS!! What type of number is 8/2
A) whole number
B) integer
C) rational
D) irrational
Answers
Answer:
A) whole number
B) integer
C) rational
Step-by-step explanation:
8/2 simplifies to 4
4 is a whole number
a whole number is an integer
an integer is rational
it is not irrational since it can be written as a fraction
Order the following
rational numbers from least
to greatest
-3/4, 2.5, 0, -0.80, 5/3
Answers
Answer:
-0.80, -3/4, 0, 5/3, 2.5
Step-by-step explanation:
-3.4<-0.80<0<5/3<2.5
Determine the midpoint of the segment with endpoints of (-3, 8) and (-3,
-2).
Answers
Answer:
(-3,3)
Step-by-step explanation:
Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50
cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as
many as Luis had given away.
If they both now have the same number of baseball cards, how many baseball cards did Roberto
give away?
Answers
Answer:
X=15
Step-by-step explanation:
50−x=80−3x
Step 1: Simplify both sides of the equation.
50−x=80−3x
50+−x=80+−3x
−x+50=−3x+80
Step 2: Add 3x to both sides.
−x+50+3x=−3x+80+3x
2x+50=80
Step 3: Subtract 50 from both sides.
2x+50−50=80−50
2x=30
Step 4: Divide both sides by 2.
2x \2 = 30 \2
Answer:
x=15
- 1 1/5 as improper fraction
Answers
The given - 1 1/5 expressed as improper fraction can be written as - [tex]\frac{6}{5}[/tex]
An improper fraction can be regarded as fraction whereby, the numerator is greater compare to the denominator.The numerator can regarded as the number that is on top, The denominator can regarded as the number that is at down.we were given [tex]\frac{1}{5}[/tex]-1 /5 so to express this as improper fraction, we multiply the whole number with the denominator then add to the numerator then we have
[tex]\frac{-6}{5}[/tex]-
Therefore, the improper fraction of the given figure is [tex]\frac{-6}{5}[/tex]
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Given that BD is an angle bisector
Solve for m
Answers
Answer:
24 degrees
Step-by-step explanation:
since BD is an angle bisector, the given numbers are equal to each other
this means that you can write the equation as: 6x = x + 20
subtract x from both sides to move the variable to one side, this leaves you with: 5x = 20
then divide both sides by 5 to find x: x = 4
now substitute this into the value given for angle ABD: 6(4)
this gives you 24 degrees