Answer:
The smallest sample size that we should consider is 68.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 10 minutes.
This means that [tex]\mu = 10[/tex]
What is the smallest sample size that we should consider?
This is n for which M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*10[/tex]
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up:
The smallest sample size that we should consider is 68.
Help please question in the picture
Answer:
17.5
Step-by-step explanation:
The area of a triangle is (height*base)divided by two
(the eight is really unnecessary)
so 7=base
8=height
7*5=35
35/2=17.5
3(v +67)=-13 I need help
Answer:
v= -71.3 there you go hope this helps
find the rate of change of the linear function from the point (0,8) to the point (24,4)
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Answer:
-1/6
Step-by-step explanation:
The slope (rate of change) is given by ...
m = (y2 -y1)/(x2 -x1)
m = (4 -8)/(24 -0) = -4/24 = -1/6
The rate of change of the linear function is -1/6.
_____
The equation is y = -1/6x +8.
Whose statement makes sense? Whose statement is nonsense?
Complete the explanation.
Zach's Statement: 1 pint is - 1/4 of a gallon.
Angela's Statement: 1 pint is - 1/8 of a gallon
Answer:
34
Step-by-step explanation:
100% of 80 is what number?
Select one:
160
80
8
100
Answer:
80
explanation:
100% means that its the whole of something so all of the said number
Answer:
In converting to percentage we multiply by 100%
100% of 80 =
80/100 x 100%
0.8 x 100 = 80
NB the 100% of any number is the number itself
Area
Please help solve the two questions
Answer:
1. Height=6 Base=7 Area=422. i realy cant see the hieght but i think its 7 and the base is 3 so it might be 21Step-by-step explanation:)Someone help me please!!!Divide 100 in the ratio 2:3.
Answer:
pirwvjihpwrugh
Step-by-step explanation:
wrhfuwhfuhugfrifhi
Answer:
not possible
Step-by-step explanation:
It can't be possible because the ratio would be 50:1 is possible
Help now please... I will mark brainlest
Answer:
60°
Step-by-step explanation:
That's an equilateral triangle therefore all sides and angles are the same.
Cassandra works for a company that is based off her sales. If she is paid 9.5% of her total monthly sales, calculate her pay for the month if she sells $15,670 of product.
Answer:
I don't understand what you mean. but 10.43 i guess
Reflect across the x-axis. Then rotate the shape around point B' 120 degrees clockwise.
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Answer:
see below
Step-by-step explanation:
Reflection across the x-axis just changes the signs of the y-coordinates. Rotation -120° about B' is difficult to do by hand. The transformation rule for that is ...
(x, y) ⇒ (x·cos(-120°) +y·sin(-120°), -x·sin(-120°) +y·cos(-120°))
(x, y) ⇒ ((-(x-3) +(y+2)√3)/2 +3, (-(x-3)√3 -(y+2))/2 -2)
__
It looks like your problem is presented in GeoGebra, which makes reflection and rotation easy.
Help a little bit stuck
Answer:
Surface area of rectangular prism = 250 cm²
Step-by-step explanation:
The rectangular prism is Prism B
Surface area of rectangular prism = 2lw + 2hw + 2lh
Where,
h = 10 cm
w = 5 cm
l = 5 cm
Plug in the values
Surface area of the rectangular prism = 2(5)(5) + 2(10)(5) + 2(5)(10)
= 50 + 100 + 100
= 250 cm²
What is the value of x in centimeters?
Answer:
2.5 cm
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
AC BC
-------- = ---------
FH GH
12 15
-------- = ---------
18 x
Using cross products
12x = 15*18
Divide each side by 12
12x/12 = 15*18/12
x = 2.5
giving brainliest!! easy*
Answer:
1584mm^2
Step-by-step explanation:
20 x20 = 400 and there are 3 of them
400+400+400 = 1200
1/2(16x24 ) =192 and there are 2 of them
192+192 = 384
1200+384
Answer:
1408
Step-by-step explanation:
20·16+24·16+20·16+12·﹣204+2·(20·24)2+2·(20·20)2﹣244+2·(24·20)2﹣204=1408
if i did something wrong please let me know
(i might have done it wrong, please use the answer above which would be 1584mm^2)
You need two bottles of fertilizer to treat the flower garden that has a perimeter of 42 feet. How many bottles do you need to treat a similar garden with a perimeter of 105 feet?
Answer:
5
Step-by-step explanation:
Three vans can carry
18 adults. How many
adults are in 7 vans?
Answer:
42
Step-by-step explanation:
18/3= 6
6x7= 42
Answer:
42 with u need me to explain just say it in the comments :) hope this help
Step-by-step explanation:
URGENT WILL GIVE BRAINLIEST
Answer:
It's either C or D, I'm thinking C, but I don't know for sure. Sorry for the delay
. The figure below shows a circular
driveway. What is the area of the
driveway?
Answer:
C
Step-by-step explanation:
A= πr squared
D=r*2
r=24
π=3.14
A= π(24 * 24) = 576
A= π576
A=10808.64
A=10808.6
Input the values into the formula below
to find the 8th term in the sequence.
1
-1, 4, -16,...
4)
Ist term • common ratioſdesired term - 1)
[?] •[ ][ - 1)
Answer:
The 8th term = -4,096
Step-by-step explanation:
Given:
¼, -1, 4, -16, . . .
Required:
8th term of the sequence
Solution:
1st term = ¼
Common ratio = -1/¼ = 4/-1 = -16/4 = -4
Desired term = 8
Plug in the values into the formula given:
[tex] \frac{1}{4} * -4^{(8 - 1)} [/tex]
[tex] \frac{1}{4} * -4^{7} [/tex]
[tex] \frac{1}{4} * -16,384 [/tex]
[tex] \frac{-16,384}{4} [/tex]
= -4,096
●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
"200" (and any subsequent words) was ignored because we limit queries to 32 words
Kate is reading 40 pages per hour.
The whole book takes 12.5 hour to complete.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the data we have (5, 200) and (5,0)
then slope= (200-0) / 5
= 40
So, Kate is reading 40 pages per hour.
Now, to read the whole book i.e., 500 pages it takes
= 500/40
= 12.5 hours
Learn more about Slope here:
https://brainly.com/question/3605446
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At the beginning of spring, Gabriella planted a small sunflower in her backyard.
When it was first planted, the sunflower was 20 inches tall. The sunflower then began
to grow at a rate of 1.5 inches per week. How tall would the sunflower be after 4
weeks? How tall would the sunflower be after w weeks?
Height after 4 weeks:
24
Height after w weeks:
I
Submit Answer
attempt 1 out of 2 / problem 1 out of max 1
Answer:
The sunflower be 40 inches tall after 4 weeks.
Total height of sunflower in w weeks = 20+1.5 w,
Step-by-step explanation:
Given: In the beginning, the sunflower was 20 inches tall.
The sunflower then began to grow at a rate of 1.5 inches per week.
Then, total height of sunflower in 4 weeks = 10+1.5 ×10, where 1.5 ×10= growth in 4 weeks
= 20+20 = 40 inches
So, the sunflower be 40 inches tall after 4 weeks.
CYU/LP 15-1&2 SIMILAR FIGURES
5 of 7 5 of 7 Items
What is the common ratio(scale factor) of side AD to side WZ?
4/8
4/6
15/6
5/2
Answer:
Option 4
Step-by-step explanation:
Both the quadrilaterals are similar,
ABCD ~ WXYZ
Therefore, ratio of the corresponding sides will be constant in other words ratio of the corresponding sides will be common.
Scale factor = [tex]\frac{AD}{WZ}[/tex]
= [tex]\frac{15}{6}[/tex]
= [tex]\frac{5}{2}[/tex]
Therefore, option (4) will be the correct option.
Need Help ASAP : Math Question : Professional football field is 160 feet wide. What's the width of the field in yards?
Answer:
53.3333
Step-by-step explanation:
I took 160 feet and converted it to yards
A polynomial function contains the factors x, x - 3 , and x + 1 Which graphs could represent the polynomial function? SELECT ALL THAT APPLY.
Answer:
Option B and F.
Step-by-step explanation:
Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,
[tex]x = 0[/tex]
x - 3 = 0 ➡️ x = 3
x + 1 ➡️ x = -1
Plus, the polynomial has the zeroes -1, 0 and 3.
It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.
Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).
It is observed that the graphs in options B and F follow this path.
So the correct choices are option B and F.
Look at the picture, I’ll give 40 points. If it’s correct
Answer:
8
Step-by-step explanation:
I don't know how to explain
PLEASE HELP ME ASAP I WILL GIVE A BRAINLIST!!!!!!!!!!
Answer:
a.
Mean:70.2
Median:60
Mode:85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Step-by-step explanation:
a.
The mean is the sum of all the terms, divide by the amount of terms:
(85+85+60+62+59)/5=351/5=70.2
The median is the middle-most number in the set 85,85,60,62,59: 60
The mode is the most common number in the set 85,85,60,62,59: 85
b.
The mode best supports her claim as it is the highest of the three.
c.
Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)
Plzzzzzz helpppp me
Answer:
15
Step-by-step explanation:
Just substitute x in the equation
so x=3
so
3^2=9, 5x3=15, -9
equals 15
the force keeping the moon in its orbit round the earth is inversely proportional to the square of the distance from the earth.if F =6×10^5KN and R =8×10^8.find the equation connecting Fand R.
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Answer:
F = 3.84×10^23/R²
Step-by-step explanation:
No units are given for distance, so we cannot give a constant of proportionality that has suitable units.
The general form for inverse square variation is ...
F = k/R²
Then the value of k can be found from ...
k = F·R² = (6×10^5)(8×10^8)^2 = 3.84×10^23
The formula relating the given F and R is ...
F = 3.84×10^23/R²
A 15-g sample of radioactive iodine decays in such a way that the mass remaining after t days is given by
m(t) = 15e−0.055t,
where
m(t)
is measured in grams. After how many days is there only 1 g remaining? (Round your answer to the nearest whole number.)
Answer:
Step-by-step explanation:
SHUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIT
An animal shelter has dogs and
cats. There are 5 times as many
dogs as cats. There are 42 animals
in total.
How many dogs are at the
shelter?
Answer:
(2/3,10/3)
(.667,3.333)
Step-by-step explanation:
y=5x,x+y=4
Answer:
Your answer is 8 dogs
Step-by-step explanation:÷
42 ÷ 5 = 8.4 = 8
I hope this helps
have a nice day/night
mark brainliest please :)
Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000. What was the return on his $675,000 investment? (Negative amount should be indicated by a minus sign. Enter your answer as a percent rounded to 2 decimal places.)
The return on his $675,000 investment is 3.57%.
Given that, Dave bought a rental property for $675,000 cash. One year later, he sold it for $700,000.
We need to find the what was the return on his $675,000 investment.
What is the return on investment?Return on investment or return on costs is a ratio between net income and investment.
Now, return=700,000-675,000=$25000
Return in percentage=25000/700000×100=3.571%
=3.57%
Therefore, the return on his $675,000 investment is 3.57%.
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