Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
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
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
Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 168 pounds
Answer:
Permit fish=14 pounds if thats the question
Tarpon=154
Step-by-step explanation:
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
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
Find an expression for the volume of the cubic box.
PLEASE HELP ME ASAP!!!! I WILL GOVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
its the last one
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
okijuhygtnfcgfhui89y76tfrybbhhiylgtfrtc gjvhjbulygturtcfvhgjbhiuytyfc bmnbnkjuihy
If x^(y)=5^(x-y) then dy/dx=
First, rewrite
[tex]x^y=e^{\ln x^y}=e^{y\ln x}[/tex]
[tex]5^{x-y}=e^{\ln5^{x-y}} = e^{\ln(5)(x-y)}[/tex]
Now, differentiate both sides using the chain rule:
[tex]\dfrac{\mathrm d\left(e^{y\ln x}\right)}{\mathrm dx}=\dfrac{\mathrm d\left(e^{\ln(5)(x-y)}\right)}{\mathrm dx}[/tex]
[tex]e^{y\ln x}\dfrac{\mathrm d(y\ln x)}{\mathrm dx}=e^{\ln(5)(x-y)}\dfrac{\mathrm d(\ln(5)(x-y))}{\mathrm dx}[/tex]
[tex]x^y\left(\dfrac{\mathrm dy}{\mathrm dx}\ln x+y\dfrac{\mathrm d(\ln x)}{\mathrm dx}\right)=\ln(5)5^{x-y}\left(\dfrac{\mathrm d(x)}{\mathrm dx}-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]
[tex]x^y\left(\ln x\dfrac{\mathrm dy}{\mathrm dx}+\dfrac yx\right)=\ln(5)5^{x-y}\left(1-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]
[tex]\left(x^y\ln x+\ln(5)5^{x-y}\right)\dfrac{\mathrm dy}{\mathrm dx}=\ln(5)5^{x-y}-yx^{y-1}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\ln(5)5^{x-y}-yx^{y-1}}{x^y\ln x+\ln(5)5^{x-y}}[/tex]
Specially equipped c argo planes and helicopters help "attack" wildfires by dropping flame retar dant chemicals and water True o False
Answer:
True
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?
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
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.
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
Answer:
4/5= 0.8
2/3= 0.66666666667
Step-by-step explanation:
Order the following
rational numbers from least
to greatest
-3/4, 2.5, 0, -0.80, 5/3
Answer:
-0.80, -3/4, 0, 5/3, 2.5
Step-by-step explanation:
A scanner can scan 20 pages and 120 seconds. How many pages can scan in 4 minutes?
Answer:
40 pages
Step-by-step explanation:
120 or 2 min x 2 = 4
20 x 2 = 40
Sorry I couldn't explain more, but I hope this helps!
Answer:
40 pages
Step-by-step explanation:
convert 4 mins -> 240 secs
then cross multiply 20/120 and x/240 (x represents the pages scanned)
u then get 120x=4800
simplify(divide)-> x=40
Given that BD is an angle bisector
Solve for m
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
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
Answer:
D I'm pretty sure
Step-by-step explanation:
Answer:
Its B. i just did this question.
Step-by-step explanation:
1119 divided by 4 and some random stuff cause it aint long enough
Answer:
29.25 if rounded up it equals 29.3
Step-by-step explanation:
Which is the slope of the line that passes through the points (4, 2) and
(6, 7)?
Answer:
2.5
Step-by-step explanation:
Use the formula y2-y1 divided by x2-x1
Plug in the values: (7-2)/(6-4)
5/2
=2.5
HELP ME PLS!! Here’s a picture that i uploaded for the question.
there is no picture :(
Need help Fast Inputs & outputs : equation
Answer:
-3
Step-by-step explanation:
-9t-4=23
-9t=27
t=-3
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
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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pls help i have 2 minutes find length
Answer:
2.4 cm
Step-by-step explanation:
i hope that I helped you.
You want to test whether salaries for male doctors are different from salaries for female doctors, using a random sample of 100 male and 100 female doctors. The statistical test you should use is
Complete Question
You want to test whether salaries for male doctors are different from salaries for female doctors, using a random sample of 100 male and 100 female doctors. The statistical test you should use is
a. t-Test: Two-Sample Assuming Equal Variances
b. t-Test: Two-Sample Assuming Unequal Variances
c. z-Test: Two Sample for Means
d. t-Test: Paired Two Sample for Means
Answer:
The correct option is C
Step-by-step explanation:
From the question we can see that
The salaries for male doctors is independent of The salaries for female doctors
Hence the samples obtained from both populations are independent
Also both of the random samples are sufficiently large.
So given that the samples are independent and sufficiently large then the best statistical test to use is z-Test: Two Sample for Means
Determine the midpoint of the segment with endpoints of (-3, 8) and (-3,
-2).
Answer:
(-3,3)
Step-by-step explanation:
Picking from 4 theme parks, 6 passes, and 5 food options.
Answer:
I don't get this..
Step-by-step explanation:
what are the numbers divisible by 4110
Answer:
4110 / 1 = 4110
4110 / 2 = 2055
4110 / 3 = 1370
4110 / 5 = 822
4110 / 6 = 685
4110 / 10 = 411
4110 / 15 = 274
4110 / 30 = 137
4110 / 137 = 30
4110 / 274 = 15
4110 / 411 = 10
4110 / 685 = 6
4110 / 822 = 5
4110 / 1370 = 3
4110 / 2055 = 2
4110 / 4110 = 1
Answer:
2,5,1,3,6,10,15,30,137
Can someone please help me on this
What is m,y-intercept and the y
Answer:
m=2x-40
y intercept = -40
please help me with this i need help with it+ send the answers not the explnation please
Answer: the picture is blocked
Step-by-step explanation:
I need help asap
Solve for k
1/3(k-9)=1/3k+1/3
Thank you :)
Answer:
solve 1/3 (k - 9) = 1/3 k + 1/3 for k = (no solutions exist)
Step-by-step explanation:
Mike invests $12,500 at 9% for a term of 12 years. What is the interest earned for his investment?
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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