Answer:
a. Mean
b. μ = μ₀
c. 11.5%
d. Yes
Step-by-step explanation:
The given parameters are;
The mean work week for engineers, μ₀ = 63 hours
The standard deviation, σ = 5 hours
The number of engineers in Kara's sample, n = 10 engineers
The responses given by the 10 engineers are;
70; 45; 55; 60; 65; 55; 55; 60; 50; 55
a. The given information which the newly hired is hoping to find out that it is not is the mean
b. The null hypothesis which is that the company claim is correct, is therefore;
Null hypothesis, H₀; μ = μ₀ = 63 hours
c. Kara's mean, [tex]\overline x[/tex] is found as follows;
[tex]\overline x[/tex] = (70 + 45 + 55 + 60 + 65 + 55 + 55 + 60 + 50 + 55)/10 = 57
[tex]\overline x[/tex] = 57 hours
The Z-score is therefore;
[tex]Z=\dfrac{\overline x-\mu }{\sigma }[/tex]
Z = (57 - 63)/5 = -1.2
From the Z-table, we have;
The p-value for P([tex]\overline x[/tex] ≤ 57) = P(Z ≤ -1.2) = 0.11507
The probability as a percentage given to one decimal place, that the mean would be as low as Kara's mean, P([tex]\overline x[/tex] ≤ 57) = 11.5%
d. Given that the percent percentage chance (11.5%) that the mean could be as low as hers ([tex]\overline x[/tex] = 57 hours) is higher than 10%, she should accept the claim.
Pls help with trig ✋
Step-by-step explanation:
From Pythagorean theorem
x^2 = (10)^2 - (8)^2 = 36 or x =6
sin theta = opp/hyp = 6/10 = 3/5
cos theta = adj/hyp = 8/10 = 4/5
tan theta = opp/adj = 6/8 = 3/4
cot theta = 1/tan theta = 4/3
sec theta = 1/cos theta = 5/4
csc theta = 1/sin theta = 5/3
Question 8:
Inse
The ratio of boys to girls in the band is 3
to 5. There are 30 boys in the band.
What is the total number of students in
the band?
A.
50
B.
18
N
C. 48
D. 80
Answer:
50
Step-by-step explanation:
A local high adventure park has a zip line that begins 46 feet in the air. The angle of elevation of the cable is 35º. Estimate the length of
the zip line cable. Round your answer to the nearest hundredth if necessary.
Answer: [tex]80.2\ ft[/tex]
Step-by-step explanation:
Given
Zipline begins [tex]h=46\ ft[/tex] in the air
The angle of elevation is [tex]35^{\circ}[/tex]
Assume the length of the cable is l
from the figure, we can write
[tex]\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft[/tex]
Shin used a doubling and halving strategy to solve 25 times 68. Fill in the blanks in the arrays and the equations to represent her work
Answer:
[tex]25 * 68 = 1700[/tex]
Step-by-step explanation:
Given
[tex]25 * 68[/tex]
Required
Fill the array using doubling and halving
Question is incomplete, as the array is not given.
However, the solution is as follows:
[tex]25 * 68[/tex]
Double 25 and half 68
[tex]25 * 68 = 50 * 34[/tex]
Double 50 and half 34
[tex]25 * 68 = 100 * 17[/tex]
The above is now easy to solve
[tex]25 * 68 = 1700[/tex]
Need it ASAP
It for math fast as possible
Mr Martinez asked all of his students to write a situation that could describe the relationship between all of the values of x and y in the table
Answer:
gsyshehejejeijsjejekwkwkwkwkwkwk
Answer:
this dude is a loser
Step-by-step explanation:
this person is a fat loser
Bertie has just had a big win at the lottery.
He spends 4/5 of his money on a large house.
He spends 3/4 of his remaining money on a luxury yacht.
He spends 2/3 of his remaining money on a trip into space.
He gives the remaining $50,000 to charity.
How much money did he win?
how do u do 7 over 4 = 35 over m in solving proportions? plz helppppppppppp
Answer:
7/4 = 35/20
Step-by-step explanation:
35 = 7 x 5 ; 20 = 4 x 5
vector question, please help
Answer:
yes.
Step-by-step explanation:
Please help me it is geometry, and I need to pass.
Answer:
38.16
Step-by-step explanation:
cosine = adjacent leg / hypotenuse
34 / x = cos 27
x = 34 / cos 27 deg
x ≈ 38.16
Answer:
we have
cos 27°=base/hypotenuse
cos27°=34/x
x=34/cos27°= 38.16is your answer
The surface area of a soccer ball is 254.5 in?.
What is the radius to the tenths' place?
Answer:
4.5 inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, SA = 4[tex]\pi[/tex]r²
Plug in the surface area and solve for r, the radius:
SA = 4[tex]\pi[/tex]r²
254.5 = [tex]\pi[/tex]r²
20.25 = r²
4.5 = r
So, the radius is approximately 4.5 inches
Which function represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0)?
A) f(x) = - 7(x – 3) (x + 4)
B) f(x) = -6(x + 3) (x – 4)
C) f(x) = 8 (x-3) (x+4)
D) f(x) = 2 (x+3) (x – 4)
The function C represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0). Option C is correct.
What is a function, exactly?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The general parabola equation is as follows: y=p (x-h)²+k or x=p(y-k)²+h, with (h,k) indicating the vertex.
The equation of the parabola is;
y=p (x-3)²+0
y=p(y-0)²+ (-4)
On combining both the equations;
f(x) = 8 (x-3) (x+4)
The function C represents a parabola that opens downward and intersects the x-axis at (3,0) and (-4,0).
Hence,option C is correct.
Learn more about the function link.
https://brainly.com/question/5245372
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Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/ ( pages 2,3,4 only )
Answer:
2. more baking powder b/c 7/8 > 1/4
3. giraffe is herbivore b/c it sleeps less, ---> 1/6 < 3/4 ----> b/c 4/24 < 18/24
4. Question: Who helps for more time at the fair and who helps for more time?
Josh helps for less time than Sarai, as 3/8 < 8/12
Step-by-step explanation:
hope this helps
Is (0,0) a solution to this system?
y > = x^2 - 4
y < 2x-1
Answer:
no.b
Step-by-step explanation:
it just no bro
Which of the following relations is a function?
a
{(1, 1), (1, 2), (1, 3)}
b
{(0, 0), (0, 1), (1, 2)}
c
{(2,0), (3, 2), (5, 2)}
d
{(3, 1), (4, 1), (3, 2)}
Answer:
C is a function
Step-by-step explanation:
For every input in a relation, there should only exist one unique output. For example, in option A, the input 1 has 3 outputs which does not make it a function since they all have to be unique. Additionally, B and D aren't functions for the same reasons. Therefore, C is a function.
Find the zeros of the function below, algebraically.
f(x)=(x-2)^2-64
Please show how you got answer and explain :D
Answer:
x=10 and x=-6
Step-by-step explanation:
f(x)=(x-2)²-64 (Given)
0=(x-2)²-64 (Set equation equal to 0)
64=(x-2)² (Add 64 to both sides)
±8=x-2 (Take the square root of both sides)
Because there are two possible roots, make 2 equations to find both:
8=x-2 and -8=x-2
10=x and -6=x
Item 5
How many seconds are equal to 3 minutes?
Answer:
180 seconds in 3 minutes
Step-by-step explanation:
in 3 minutes there is 180 seconds
x+3y=2v make x the subject
Answer:
x = 2v-3y
Step-by-step explanation:
x+3y=2v
x = 2v - 3y [ rearrange and transpose 3y to the other side making it negative]
I hope im right!
Enter the value that belongs in the
green box.
48
y
X
42°
67
tan 48°
The value of x will be 60.33. Then the tan 48° will be 67 / 60.33.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle has angles of 48°, 42°, and 90°.
Then the value of x will be
tan 42° = x / 67
x = 60.33
Then the tan 48° is given as
tan 48° = 67 / 60.33
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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How much is the tree worth?
Answer:
8
Step-by-step explanation:
Deer = snow flake = 4
4 + 4 + 4 = 12
Dear - 3 = 1
Snowman = 1
Tree = 8
8 + 1 (snowman) + 8 = 17
Last weekend, Abigail collected 7 times as many trading cards as Trey. Together, they collected 40 trading cards. How many trading cards did Abigail collect?
Answer: 35 trading cards
Step-by-step explanation:
Assume the trading cards collected by Trey is x.
That means that the number of trading cards collected by Abigail is 7x.
Relevant expression is:
7x + x = 40
8x = 40
x = 40/8
x = 5 trading cards
This means that Trey collected 5 trading cards
Abigail collected 7 times that figure so Abigail collected:
= 7 * 5
= 35 trading cards
How do I solve these problems?
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
ASAP
AND HOW DID YOU GET THE ANSWER
( WILL MARK BRIANIST)
Answer: 11/24
Convert 3/8 to 9/24
Convert 1/12 to 2/24
Add them together to get 11/24
If I did a poor job explaining I can help more in the comments.
Answer:
Hi, there the answer is 11/24
Step-by-step explanation:
9/24+2/24
9+2/24
11/24
If you didn't understand here's something you can understand I felt like I didn't understand what I wrote on the top
Find the Least Common Multiple
[tex]\frac{3}{8} +\frac{1}{12}[/tex]
[tex]\frac{9}{24} +\frac{2}{24}[/tex]
[tex]\frac{9+2}{24}[/tex]
[tex]\frac{11}{24}[/tex]
Rewrite 3* = 243 as a logarithmic equation.
Answer:
log₃(243) = x
Step-by-step explanation:
3^x = 243
Rule: a^x = b -> logₐ(b) = x
log₃(243) = x
What is the approximate area of a semicircle with radius of 21 ft? Use 3.14
Answer:
692 ft^2
Step-by-step explanation:
Area of a circle = (pi)(radius)^2
Here,
Area of the circle = (3.14)(21 ft)^2 = 1385 ft^2
Area of half this circle = area of the semicircle = 1385 ft^2 / 2, or
Area of semicircle = 692 ft^2
will give brainlyist if quick
Answer:
B)
Step-by-step explanation:
slope = 1/2(rise/run)
Answer for 16 points and possibly a brainliest if correct
Answer: The answer is the 3rd option.... if not then it’s the fourth! They both seem correct!
Step-by-step explanation:
answer:
d) pick every 10th student who is listed on the student role for the school **you chose the correct answer**
step-by-step explanation:
'd' is the correct answer because it's the best way to survey the most amount of students
:)
!
PLS HELP!! The diagram shows triangle PQR.
Answer:
I cant figure it out, sorry :(
Amy scheduled herself from 8am-1pm sunday through wednesday on wednesday she needed to release her intervals from 11am-1pm at the last minute she serviced all of the other time for which she posted what was her overall commitment adherence percentage?
Answer:
Commitment Adherence Percentage = 81.[tex]\overline{81}[/tex]%
Step-by-step explanation:
The time period Amy scheduled herself, t = 8 a.m. - 1 p.m. from Sunday through Wednesday
The period she released her interval = 11 a. m. - 1 p.m.
Commitment Adherence Percentage = Service Minutes/(Posted Minutes + Released Lockdown Minutes) × 100
Posted minutes = 5 hours/day × 60 minutes × 4 days = 1200 minutes
Serviced minute = 5 hours/day × 60 minutes × 3 days + 3 hours × 60 minutes/hour = 1,080 minutes
Released minutes = 2 hours × 60 minutes/hour = 120 minutes
Commitment Adherence Percentage = (1,080/(1,200 + 120)) × 100 = 81.[tex]\overline{81}[/tex]%
how long is the stage