Answers
Answer:
increase = 37.38 cm²
You'd like the first way because it took less effort and less chance of a miscalculation.
Step-by-step explanation:
first way:
(just work with the difference in height)
(0.7 x 8.7 x 2) + (0.7 x 18 x 2) = 37.38 cm²
second way:
old total lateral surface area = (31 x 8.7 x 2) + (31 x 18 x 2) = 1655.4
new total lateral surface area = (31.7 x 8.7 x 2) + (31.7 x 18 x 2) = 1692.78
increase = 1692.78 - 1655.4 = 37.38 cm²
Answer:37.38cm2
Step-by-step explanation:
Related Questions
Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for flights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.
Answers
Solution :
The null and the alternate hypothesis can be stated as :
Null hypothesis
[tex]$H_0:\mu_1 \geq \mu_2$[/tex]
Alternate hypothesis
[tex]$H_a:\mu_1 \leq \mu_2$[/tex]
We known;
[tex]$\overline x_1=\frac{\sum_{i=1}^n X_i}{n_1}$[/tex]
[tex]$=\frac{43+....+75}{7}$[/tex]
= 62.286
[tex]$\overline x_2=\frac{\sum_{i=1}^n X_i}{n_2}$[/tex]
[tex]$=\frac{66+....+81}{16}$[/tex]
= 72.125
[tex]$s_1^2=\frac{\sum_{i=1}^n(X_i- \overline X_1)^2}{n_1-1}$[/tex]
[tex]$=\frac{(43-65.5)^2+....+(75-65.5)^2}{7-1}$[/tex]
= 116.571
[tex]$s_2^2=\frac{\sum_{i=1}^n(X_i- \overline X_2)^2}{n_2-1}$[/tex]
[tex]$=\frac{(66-72.13)^2+....+(81-72.13)^2}{16-1}$[/tex]
= 23.45
Therefore, calculating the test statics :
[tex]$t=\frac{\overline x_1 - \overline x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}}$[/tex]
[tex]$t=\frac{62.29-72.125}{\sqrt{\frac{116.571}{7}+\frac{23.45}{16}}}$[/tex]
[tex]$t=\frac{-9.839}{4.2566}$[/tex]
= -2.312
Now calculating the P-value for the test as follows :
P=T.DIST(t, df)
[tex]$df=\frac{\left(\frac{s_1^2}{n_1}+\frac{s^2_2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s^2_X}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s^2_Y}{n_2}\right)^2}$[/tex]
[tex]$df=\frac{\left(\frac{116.571}{7}+\frac{23.45}{16}\right)^2}{\frac{1}{7-1}\left(\frac{116.571}{7}\right)^2+\frac{1}{16-1}\left(\frac{23.45}{16}\right)^2}$[/tex]
[tex]$=\frac{328.2868}{46.36395}$[/tex]
[tex]$\approx 7$[/tex]
P=T.DIST(t, df)
=T.DIST(-2.31, 7)
= 0.0270
Thus, the [tex]$\text{P-value}$[/tex] of the test is P = 0.0270 is [tex]$\text{less}$[/tex] than the level of significance [tex]$\alpha= 0.05$[/tex]. Hence the researcher can reject the null hypothesis.
Conclusion: The mean launch temperature for the flights with O ring damages less than that for the flights with no O rings.
I need help please fast .................
Answers
Answer:
I have no idea what sohcahtoa is but:
tan 50.1° = x/5
1.196 = x/5
multiply both sides of the equation by 5:
x = 5.98
This data shows the number of sit-ups done by 27 students in a gym class.
58 62 49 52 75 86 88 54 56 61 85 48 77 60
47 58 62 73 78 69 65 84 59 67 53 84 50
Which histogram represents the data?
Answers
Answer:
C
Step-by-step explanation:
None of the others have the correct data like C
Solve (z + 6)2 = 5
{−6±5‾√}
{6±5‾√}
{5‾√±−6}
{−6+5‾√,6−5‾√}
Answers
9514 1404 393
Answer:
(a) -6±√5
Step-by-step explanation:
(z +6)^2 = 5 . . . . . given
z +6 = ±√5 . . . . . take the square root
z = -6 ±√5 . . . . . . subtract 6
In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
15 cm
х
350
9.00
y
Answers
Answer:
x=8.6
Step-by-step explanation:
x=8.6
Let {u1,u2,u3} be an orthonormal basis for an inner product space V. If
v=au1+bu2+cu3
is so that ∥v∥=42, v is orthogonal to u3, and ⟨v,u2⟩=−42, find the possible values for a, b, and c.
Answers
• ||v|| = 42, which is to say
||v||² = 〈v, v 〉
… = 〈a u₁ + b u₂ + c u₃, a u₁ + b u₂ + c u₃〉
… = a ² 〈u₁, u₁〉 + b ² 〈u₂, u₂〉 + c ² 〈u₃, u₃〉 + 2(ab 〈u₁, u₂〉 + ac 〈u₁, u₃〉 + bc 〈u₂, u₃〉)
… = a ² ||u₁||² + b ² ||u₂||² + c ² ||u₃||²
[since each vector in the basis for V is orthogonal to any other vector in the basis, and 〈x, x〉 = ||x||² for any vector x ]
42² = a ² + b ² + c ²
[since each vector in the basis has unit length]
42 = √(a ² + b ² + c ²)
• v is orthogonal to u₃, so 〈v, u₃〉 = 0. Expanding v gives the relation
〈v, u₃〉 = 〈a u₁ + b u₂ + c u₃, u₃〉
… = a 〈u₁, u₃〉 + b 〈u₂, u₃〉 + c 〈u₃, u₃〉
… = c ||u₃||²
… = c
which gives c = 0, and so
42 = √(a ² + b ²)
• Lastly, 〈v, u₂〉 = -42, which means
〈v, u₂〉 = 〈a u₁ + b u₂ + c u₃, u₂〉
… = a 〈u₁, u₂〉 + b 〈u₂, u₂〉 + c 〈u₃, u₂〉
… = b ||u₂||²
… = b
so that b = -42. Then
42 = √(a ² + (-42)²) → a = 0
So we have a = 0, b = -42, and c = 0.
The required values are, [tex]a=0,b=-42 ,c=0[/tex]
Given,
[tex]v=au_1+bu_2+cu_3[/tex]
[tex]\left\| V\right\|=42[/tex]
Computation:
Since, [tex]v[/tex] is orthogonal to [tex]u_3[/tex] then we have,
[tex]\left<v,u_3 \right> =0\\\left< v,u_2\right> =-42[/tex]
Then,
[tex]\left\| V\right\|^2=\left<v,v \right>\\=\left<au_1+bu_2+cu_3,au_1+bu_2+cu_3 \right>\\=a_2\left\|u_1 \right\|^2+b_2\left\|u_2 \right\|^2+c_2\left\|u_3 \right\|^2\\=a^2+b^2+c^2\\=a^2+b^2+c^2=42^2[/tex]
As we know,
[tex]a=\left<v_1u_1 \right>\\b=\left< v_1u_2\right>= -42\\c=\left<v_1u_3 \right> =0[/tex]
[tex]a_2+b_2+c_2=42\\a=0[/tex]
Learn More:https://brainly.com/question/13152748
what is the measure of A, in degrees, in the figure shown?
Answers
Answer:
[tex]12.7[/tex]
Step-by-step explanation:
[tex]180 - 167.3 = 12.7 \\ < angle \: on\: a \: stright \: line \: is \: 180[/tex]
What is the product of -8 and -7
Answers
Answer:56
Step-by-step explanation: -8x-7=56
Answer: -15
Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)
There are 920 calories in 5 servings. Find the unit rate.
Answers
Answer:
184
Step-by-step explanation:
920 divided by 5 is 184 which makes it unit rate
The table below is comparing level of education achieved to the rate of unemployment and the median weekly earnings in 2008. Based on the information provided, the unemployment rate decreases the most when moving between which two consecutive educational levels?
Answers
Answer:
"less than high school" and" high school graduate".
Answer:
The table below is comparing level of education achieved to the rate of unemployment and the median weekly earnings in 2008. Based on the information provided, the unemployment rate decreases the most when moving between which two consecutive educational levels?
a.
“Less than high school” and “High School Graduate” <<<<<<<CORRECT
b.
“High school graduate” and “Some college, no degree”
c.
“Associate degree” and “Bachelor’s degree”
d.
“Professional degree” and “Doctoral degree”
Step-by-step explanation:
Edge2021
Joseph and Molly each have coin collections. Joseph starts with 15 coins in his collection and adds 25 coins each month. Molly starts with 25 coins in her collection and adds 25 coins each month. How many coins would Joseph have after 3 months?
Answers
Answer:
Joseph has 90 coins after 3 months
Step-by-step explanation:
Joseph: 25x + 15
Molly: 25x + 25
x = 3
Joseph: 25(3) + 15 = 90
Algebraic Expression:
There are c cyclists in a cycle race. 3/4 of the cyclists finish the race. How many cyclists did not finish the race?
Answers
c - 3/4
Explanation:
Subtract 3/4 from c to find how many cyclists did not finish the race.
I pick a ball from a bag, replace it and then pick
another. I keep doing this until I have chosen 40 balls. If I picked out 12 yellow balls, estimate the probability of not picking out a yellow ball.
Answers
Answer:
It should be 50%
Step-by-step explanation:
It should be 50% because there are 12 yellow balls, so it should be 50%.
Hope it helps you
Find the third quartile Q3 of the list of 24 sorted values shown below.
30 31 31 37 38 38 39 39 42 42 43 46 47 48 50 52 54 57 61 63 68 69 76 79
The third quartile Q3 is
(Type an integer or a decimal.)
Answers
Answer:
60
Step-by-step explanation:
The computation of the third quartile is given below:
The third quartile Q3 is
= 3(n + 1)÷ 4
= 3 (24 + 1) ÷ 4
= 75 ÷ 4
= 18.75th term
Now the 18.75th term is
= 18th term + 0.75 term
= 57 + (19 term - 18term)
= 57 + 0.75 (61 - 57)
= 57 + 0.75 (4)
= 60
A random sample of 146 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood
Answers
Answer:
We reject H₀ the actual percentage of type A donations differs from 40%
Step-by-step explanation:
Sample information:
sample size n = 146
Type A x₁ = 81 and p₁ = 81 / 146 p₁ = 0,5547
then q₁ = 1 - p₁ q₁ = 1 - 0,5547 q₁ = 0,4453
We choose as significance level α = 5% α = 0,05 α /2 = 0,025
from z-table we find z (c) = 1,96
National % of the population ( μ = 40 % μ = 0,4 )
Test hypothesis
Null hypothesis H₀ p₁ = μ
Alternative Hypothesis Hₐ p₁ ≠ μ
The Alternative hypothesis indicates that the test is a two-tail test
z(s) = ( p₁ - μ )/ √ p₁*q₁ / n
z(s) = ( 0,5547 - 0,40 )/ √ 0,5547*0,4453 / 146
z(s) = 0,1547 / 0,041
z(s) = 3,77
Comparing z(s) and z(c)
z(s) > z(c)
z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population
help me please and answer correctly people answer wrong on purpose
Answers
Heeeeeeeelp pleaaase
Answers
Answer:
13u√2u
Step-by-step explanation:
Remark
Removing factors from under the square root sign means factoring the numbers into prime factors. If there are an even number of equal prime factors, take one out and throw one away for all the primes that are the same. An odd number of factors always leaves 1 under the root sign.
For example
u^3 = u * u * u
One of the u's will be left behind. Of the two others, one will be discarded and one will be taken outside the root sign.
√u^3 = √(u * u * u) = u√u
one u taken out. 1 u left behind 1 u discarded.Question Breakdown
8√72u^3 = 8√2*2*2*3*3 u^3 = 8* 2*3 * u * √2u = 48u*√2u7√128u^3 = 7√(2*2*2*2*2*2*2 u^3) = 7*2*2*2 √2u = 56u√2u3u*√98u = 3u * √(7*7 * 2*u) = 21u√2uAnswer
48u√2u - 56√2u + 21u√2u
13u√2u
find the vertex h(r)=r^(2)+11r-26 PLEASE HELP ME FIGURE THIS OUT
Answers
Answer: Look at the picture
Step-by-step explanation: Hope this help :D
Aiden calculated that their family used 20% of their monthly income for food, and 15% of the money spent on food was spent on snacks. If they spent $45 on snacks, what is their monthly income?
Answers
Answer:
There monthly income is 300$
In a clothing store, 65% of the customers buy a shirt, 30% of the customers buy a pair of pants, and 20% of the customers buy both a shirt and a pair of pants. I’m f a customer is chosen at random, what is the probability that he or she buys a shirt or a pair of pants?
Answers
Answer:
The Answer will be (0.75)
Hey y’all answers in the picture ABC or D. Plz help
Answers
Answer:
D
Step-by-step explanation:
Lets use the the chart. The (5,9) if the 5 was doubled that it would equal to 10. Now you subract 1 from it making it 9.
Solve for x.
Enter the solutions from least to greatest.
(2x + 4)(3x − 2) = 0
lesser x =
greater x =
Answers
Answer:
lesser x = -2, greater x = 2/3
Step-by-step explanation:
(2x+4)= 0 ---> bring 4 to the other side
2x=-4 ----> divide by 2 on both sides
x= -4/2 = -2 ----> simplify
(3x-2)= 0 ----> bring the 2 to the other side
3x=2 ----> divide by three on both sides
x=2/3
hope this helps!
Determine which point is part of the solution set to the following
system of inequalities: f(x) < x + 4; f(x) > - X-3; and f(x) < 5.
(0,0)
(-60)
(-3, 4)
(4,6)
Answers
I had a test similar I’m not the best at it though hope this helps tho
Janae solved the equation 3.67 = c − 2.13 , and found the value for c. Janae's solution was c =1.54 Do you agree or disagree with her solution. Explain. Show your work. plzzz help me ill give yo a brainlyiest
Answers
Answer:
Solution;
given equation : 3.67 = c - 2.13
On solving equation, we get
c = 3.67 +2.13
c = 5.8
Hence, Janae solution is incorrect. So I disagree.
Answer: No because the answer is c =5.8 or 5.80
Step-by-step explanation:
Add 2.13 to both sides. 3.67 + 2.13 = 5.80
The Table shows the relationship and speeds between a cheetah and a line. What is the missing value in the table?
Cheetah (miles per hour)
7 14 ? 28 35
Lion (miles per hour)
5 10 15 20 25
A. 19
B. 21
C. 23
D. 25
Please help ASAP!!
Answers
Find x if these are similar
Answers
Answer:
C) 28
Step-by-step explanation:
RSTV = WXYZ
WX = x
[tex]\frac{RS}{VR} =\frac{WX}{ZW} \\\\\frac{7}{3} =\frac{x}{12} \\\\3x=84\\x=28[/tex]
Watch help
In APQR, PR is extended through point R to point S,
m_QRS = (4x – 15)°, m_RPQ = (x + 1), and
mZPQR = (x - 2)°. Find mZRPQ.
Answers
Answer:
m∠RPQ = 8°
Step-by-step explanation:
m∠QRS = 4x - 15
m∠RPQ = x + 1
m∠PQR = x - 2
m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS
m∠QRS = m∠RPQ + m∠PQR {Exterior angle property of triangle}
4x - 15 = x +1 + x - 2
4x - 15 = x + x + 1-2 {Combine like terms}
4x - 15 = 2x - 1 {Subtract 2x from both sides}
4x - 2x - 15 = - 1
2x - 15 = - 1 {Add 15 to both sides}
2x = -1 + 15
2x = 14 {Divide both sides by 2}
x = 14/2
x = 7
m∠RPQ = x + 1 = 7 + 1 = 8°
Answer: x+1 =(7)+1=8
Step-by-step explanation:
Find the slope of the line (2,6) and (-2,-4)
Answers
Hope this helped
HURRY! What is the circumference of the circle below? Use 3.14 for π.
Answers
Answer:
2.14 divided by 5 x 2 is the ansewer
Step-by-step explanation:
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
6/13
Step-by-step explanation: