9514 1404 393
Answer:
2) (b) -7
3) (b) 14
Step-by-step explanation:
2) The sum is found by adding the numbers together. Your calculator can help if you can't do it in your head. I usually find it easier to add the positive and negative numbers separately. Of course the 0 can be ignored.
18 + 0 -4 -12 +6 -15 = (18 +6) -(4 +12 +15) = 24 -31 = -7
__
3) Apparently, we are to assume that George's percentage will apply to the next 40 pitches. Then ...
(number missed)/(number thrown) = 35%
missed = (thrown)×0.35 = 40×0.35 = 14
George is expected to miss 14 of the 40 pitches.
1. Consider the surface area of the following pyramid.
Calculate the total surface area of the pyramid. Show your work!
Answer:
Answer:
45 cm
Step-by-step explanation:
You use the formulas 1/2*base*height for area of a triangle and edge squared for the square so you do 1/2*2.24*3 for the area of one triangle, then times this by 4 to account for all triangles, then you add this to 3*3 which is the area of the square
Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are
xÌ… = 20 milligrams / 1000cycless
s1= 2 milligrams/1000cycles and for company 2, you obtain
xÌ… 2 = 15 milligrams /1000cycles
and
s2= 8 milligrams / 1000cycles
Required:
a. Do the data support the claim that the two companies produce material with different mean wear? Use α = 0.05, and assume that each population is normally distributed but that their variances are not equal. What is the P-value for this test?
b. Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2? Use the same assumptions as in part (a).
c. Construct confidence intervals that will address the questions in parts (a) and (b) above.
Step-by-step explanation:
Due to the time it took to solve this question, I had little time to type the answers fully
The answers are contained fully in the attachment I have uploaded.
A. H0: u1 = u2
H1: u1 not equal to u2
The t statistics was solved to be 3.03
The degree of freedom was solved to be 26
Given this information, this is a 3 tailed test, critical value at 5% = +-2.056
T stat > critical value
We therefore reject the null hypothesis at 5% and conclude they have different mean wear
The p value is calculated using excel and the result is 0.00544
We reject null at 5% since p value is less than 0.05
B. H0: u1 = u2
H1: u1>u2
Alpha = 0.05
Following a,
Test stat = 3.03
Df = 26
Critical value for 1 tailed test = 1.706
Test stat > 1.706
We reject H0 and conclude company 1 has higher mean wear.
We find p value for a right tailed distribution using excel
Tdist(3.03,26,1)
= 0.002722
We reject h0
C. Confidence interval
1.610 < u < 8.390
Need help question #3. Show steps please
Answer:
B.
Step-by-step explanation:
We are given:
[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]
Distribute. Recall exponent properties;
[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]
Simplify:
[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
it a tets please help it due today
Ryan made small
cherry pies with
a diameter of 2
in. What was the
area of one pie?
Answer:
area of one pie : πr² = π d²/4 = π× 2²/4 = π ≈ 3.14
PLZ ONLY TYPE IN SSS , ASA, SAS, AAS, HL) IF
the triangles are not congruent, type in NEI
what is the volume of a rectangular prism wi the the dimensions base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answer:
5/16 cm³Step-by-step explanation:
Given that:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
____________________
#IndonesianPride - kexcvi
What is -60a^2+642a-420
Answer:
The answer is −6(10a−7)(a−10)
Step-by-step explanation:
1) Factor out the common term 6.
[tex] - 6( {10a}^{2} - 107a + 70)[/tex]
2) Split the second term in 10a² - 107a + 70 into two terms.
[tex] - 6( {10a}^{2} - 7a - 100a + 70)[/tex]
3) Factor out common terms in the first two terms, then in the last two terms.
[tex] - 6(a(10a - 7) - 10(10a - 7))[/tex]
4) Factor out the common term 10a - 7.
[tex] - 6( 10a - 7)(a - 10[/tex]
Therefor, the answer is -6 ( 10a - 7) (a - 10).
Solve for the length of BA and BC, round your answer to 1 decimal place
Answer:
[tex]BA = 6.0[/tex]
[tex]BC = 13.4[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) BA
Considering the tangent of angle C, we have:
[tex]tan\ C = \frac{BA}{AC}\\[/tex]
This gives:
[tex]tan\ 25 = \frac{BA}{12}[/tex]
Make BA the subject
[tex]BA = 12 * tan\ 25[/tex]
[tex]BA = 12 * 0.4663[/tex]
[tex]BA = 6.0[/tex] --- approximated
Solving (a) BC
Using Pythagoras theorem
[tex]BC^2 = BA^2 + AC^2[/tex]
[tex]BC^2 = 6.0^2 + 12^2[/tex]
[tex]BC^2 = 180[/tex]
Square root of both sides
[tex]BC = \sqrt{180[/tex]
[tex]BC = 13.4[/tex]
Which data set COULD NOT be represented by the box plot shown?
Answer:
B : {2, 10, 13, 7, 9, 5, 15, 12, 7, 13, 11}
Step-by-step explanation:
Maximum = 15
Minimum = 4
so, the values of the data set must lies between [4,15]
In a hardware store I bought 5 screws costing
20 ¢ each and 3 light bulbs costing $3.99 each
If I paid with two $10.00 notes, how much
change did I receive?
Answer:
7.02
Step-by-step explanation:
20 ¢ x 5 = 1.00
3 x 3.99 = 11.97
11.97 + 1.00 = 12.97
20.00 - 12.97 = 7.02
Help plssss!!!!!!! 10 points
Answer:
16 every 2 years, or 8 more per year
Coastal Insurance Company underwrites insurance for beachfront properties along the Virginia, North and South Carolina and Georgia coasts. It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05. If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period
Answer:
0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period
Step-by-step explanation:
We have only the mean, so we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
It uses the estimate that the probability of a named Category III hurricane or higher striking that particular region of the coast in any one year is 0.05.
This means that [tex]\mu = 0.05n[/tex], in which n is the number of yeas.
If a homeowner takes a 30-year mortgage on a recently purchased property, what is the likelihood that the owner will experience at least one Category III hurricane during the mortgage period
30 years means that [tex]\mu = 0.05*30 = 1.5[/tex].
This probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2231 = 0.7769[/tex]
0.7769 = 77.69% probability that the owner will experience at least one Category III hurricane during the mortgage period
Let X become a variable refer to the number of Category ll hurricanes that occurred during the mortgage period. As per the information given, the variable x has a random variable.
The mortgage duration is specified as n = 30, and the likelihood of a category ll hurricane in either given year is given as p=0.05.For point a:
The chances of seeing as least one Category lll hurricane are as follows:[tex]\to P(X > 1) = 1 - P(X = 0)\\\\ \to P(X > 1) = 1^{-30} C_o (0.05)^0 (1 -0.05)^{30}\\\\ \to P(X > 1) = 0.7854[/tex]
For point b:
The chances to see at least two category III hurricanes are as follows:[tex]\to P(X > 2) = 1 - P(X =0) - P(X = 1)\\\\ \to P(X > 2) = 1 ^{-30} C_0(0.05)^0 (1 -0.05)^{30 -30} C_1 (0.05)^1+(1 - 0.05)^{29}\\\\ \to P(X > 2) = 0.4465[/tex]
Learn more:
brainly.com/question/11667993
Given f(x) = V(3 x – 12) +2, what is the range in set notation?
Answer:
Step-by-step explanation:
[2,∞)
Answer:
it's 2
Step-by-step explanation:
Evaluate 4x – 3 for x = -2.
Answer: -11
Step-by-step explanation:
4(-2)-3
-8-3
=-11
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.
Answer:
Step-by-step explanation:
30
PLEASE HELP! ANSWER QUICKLY IF YOU KNOW THIS!!
Answer:
63
Step-by-step explanation:
Answer:
117°
Step-by-step explanation: We know that the angles of a triangle have to equal 180°. We already know one angle (75°) and we can find the others. Vertical angles are congruents so the angle opposite 42° is also 42° So add 42 and 75 and you get 117. Keep in mind that all the angles have to equal 180 so 180-117 will get you the last angle measure. 180-117= 63. BUT that's not the answer because that is not x and it asks for x. So we know that a straight line also equals 180 that angle that we found that was 63 plus x should get us 180. To find that we do 180-63 and find that x=117° Hope this made sense!
Will mark brainlest Thanks
Answer:
the answer is d
Step-by-step explanation:
Please help now ASAP!!!!
Answer:
Step-by-step explanation:
I don't think u can tell from that because u need the length of each movie
Is this statement always true? Or sometimes true? Or
never true?
X-y is greater than x+y
Always
Sometimes or
Never
Answer:
Sometimes. Say x = 3 and y = 4. 3 + 4 = 7, 3 - 4 = -1. However, the subtraction problem can be greater than the addition if you add some negatives into the mix. Say x = 3 and y = -4. 3 + (-4) is the same as subtracting 4, which give you -1. However, when you subtract negative four, it's the same as adding four, which gives you seven.
evaluuate 9-b when b=8
Answer:
[tex]\huge\boxed{\sf 1}[/tex]
Step-by-step explanation:
Given the expression:
= 9 - b
Given that b = 8
= 9 - 8
= 1
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Okay so we are asked to solve 9 - b, and we are told that b=8
Therefore this is just a matter of substitution:
9 - b
Substitute 8 for b:
9 - 8
Now just finish solving:
1
Therefore, the answer is 1
Hope this helped :)
16.
C с
6.1 cm
А
B
120°
3.5 cm
o
Fig. 4.77 Circle
For the figure above:
(a) Calculate the area of the circle, centre 0.
(b) Calculate the area of the minor sector
АОВС.
(c) Calculate the area of the triangle AOB.
(d) Determine the area of the segment ABC
22
7
d determine the are of the segment ABC 22 7
O Fabiola's special seasoning mix has three ingredients. The recipe uses 5 parts
thyme, 3 parts parsley, and 1 part green onion. If she is making 45 tbsp of the
mix, how many tbsp of parsley does she need?
Answer:
i think that will be 27 because thats 3/5 of the total
Step-by-step explanation:
tell me if i got it right or wrong no hate
graph x > -4 on a number line
Answer:
Well, since x is bigger than negative 4, it cant be -5, so its either from -3 to 5.
since your question says to graph it, i attached a blank graph. put the points on the blank graph and this will help you find your answer. hope i helped.
Step-by-step explanation:
(x+6)/(x+1)=6/2
Solving proportions
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x + 6}{x + 1} = \frac{6}{2} [/tex]
[tex] \frac{6}{2} = 3[/tex]
so, the solution of the equation will be as follows:
[tex] \frac{x + 6}{x + 1} = 3[/tex]
3(x+1) = x + 6
3x + 3 = x + 6
3x - x = 6 - 3
[tex]x = \frac{3}{2} [/tex]
so, the answer will be x = 3/2
Helppp!!!! Describe the translation of figure ABCD.› *
Answer:
(x,y) ---→ ( x + 3 , y + 1 )
Step-by-step explanation:
Hello There!
All we have to do is pick one letter and count the units from the preimage to the translated image
To get to A' you have to from A and go up one unit to the right 3 units
So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )
Pls help me with this one!! :>
Answer:
i dont see a picture?
Step-by-step explanation:
Step-by-step explanation:
the student who has the highest grades in a particular group of students and who gives the valedictory speech at a graduation ceremony compare salutatorian.
watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.
terms:
• impossible
• likely
• unlikely
• certain
probability:
1. probability of rain < 1/2
2. probability of rain = 0
3. probability of rain = 1
4. probability of rain > 1/2
Answer:
Probability:
1. probability of rain < 1/2 -------- Unlikely
2. probability of rain = 0 -------- Impossible
3. probability of rain = 1 -------- Certain
4. probability of rain > 1/2 --------- Likely
Step-by-step explanation:
Given -
Terms:
• impossible
• likely
• unlikely
• certain
Probability:
1. probability of rain < 1/2
2. probability of rain = 0
3. probability of rain = 1
4. probability of rain > 1/2
To find - Watching the weather channel, you can see the probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow. drag the term to the corresponding probability of it raining tomorrow.
Proof -
Probability:
1. probability of rain < 1/2 -------- Unlikely
2. probability of rain = 0 -------- Impossible
3. probability of rain = 1 -------- Certain
4. probability of rain > 1/2 --------- Likely
Reason -
Probability is the chance that an event will occur. Weather predictions are based on probability.The probability of an event occurring is represented by a ratio.A ratio is a number that is between 0 and 1 and can include 0 and 1.
An event is impossible if it has a probability of 0.Having 13 months in a year has the probability of 0.
An event is certain if it has the probability of 1.The probability that the sun will rise tomorrow morning is 1
Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x
−
4
y
=
1
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x−4y=1
5x+6y=−5
{
x
=
1
+
4
y
5
x
+
6
y
=
−
5
⎩
⎪
⎪
⎨
⎪
⎪
⎧
x=1+4y
5x+6y=−5
1) How can we get System
B
BB from System
A
AA?
The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
To obtain System B from System A, we can perform the following steps:
Start with System A:
System A:
x - 4y = 1
5x + 6y = -5
Solve the first equation in System A for x:
x = 1 + 4y
Substitute the value of x in the second equation of System A:
5(1 + 4y) + 6y = -5
Simplify and solve for y:
5 + 20y + 6y = -5
26y = -10
y = -10/26
y = -5/13
Substitute the value of y back into the equation we found in step 2:
x = 1 + 4(-5/13)
x = 1 - 20/13
x = (13 - 20)/13
x = -7/13
Write down the equations with the values of x and y:
System B:
x = -7/13
5x + 6y = -5
Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
Learn more about expression here:
https://brainly.com/question/1859113
#SPJ8
PLS EXPLAIN HOW U GOT THE ANSWER
Sara needs to cover the top and sides of the cylinder below
diameter 6 in.
height 8 in.
About how many square inches of paper will Sara need?
O 528 in.
O 415 in.
O 207 in.
O 179 in.
415 in
take 8 times 6 four times and add them together