Answer:
Does this sample provide convincing evidence that the machine is working properly?
Yes.
Step-by-step explanation:
Normal distribution test:
[tex]$z=\frac{x- \mu }{ \frac{\sigma}{\sqrt{n}} }=\frac{ (x-\mu)\sqrt{n}}{\sigma} $[/tex]
Where,
[tex]x: \text{ sample mean}[/tex]
[tex]\sigma: \text{ standard deviation}[/tex]
[tex]n: \text{ sample size determination}[/tex]
[tex]\mu: \text{ hypothesized size of the screw}[/tex]
[tex]$z=\frac{(1.476-1.5)\sqrt{200} }{0.203 } $[/tex]
[tex]$z=\frac{(-0.024)10\sqrt{2} }{0.203 } $[/tex]
[tex]z \approx -1.672[/tex]
Once the significance level was not given, It is usually taken an assumption of a 5% significance level.
Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of [tex]\pm 1.96[/tex]
Therefore, we fail to reject the null. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!
If a circle has a diameter with endpoints of (-3, 0) and (5, 4), then the equation of the circle is?
Which of the binomials below is a factor of this trinomial? X^2+2x-63
Answer:
x+9
Step-by-step explanation:
If we use syntetic division we get that
[tex]x^2+2x-63=(x+9)(x-7)[/tex]
Answer:
(x+9)(x-7)
Step-by-step explanation:
For this trinomial, we will factor the constant at the end into 7 and 9. From here we will break down the trinomial into a binomial form.
(x + or - #) ( x + or - #)
We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.
(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63
Cheers.
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if
c= a + b.
Answer:
B
Step-by-step explanation:
The opposite sides of a parallelogram are parallel and congruent, thus
SR = PQ , that is
8a - 4 = 6a + 10 ( subtract 6a from both sides )
2a - 4 = 10 ( add 4 to both sides )
2a = 14 ( divide both sides by 2 )
a = 7
In a parallelogram consecutive angles are supplementary, thus
∠ P + ∠ Q = 180, that is
18b - 11 + 9b + 2 = 180, that is
27b - 9 = 180 ( add 9 to both sides )
27b = 189 ( divide both sides by 27 )
b = 7
Thus c = a + b = 7 + 7 = 14 → B
a map has a scale of 1cm:11.5km.two cities are 5.5cm apart on the map.to the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
Answer:
The actual distance between the two places to the nearest tenth of a kilometer is 63.3 km
Step-by-step explanation:
Here, we want to get the actual distance between two places on a map, given the scale used to draw the map and the distance of both places on the map, in terms of the scale.
The scale used here is 1cm to 11.5km
Since 1cm = 11.5km
then 5.5cm = x km
Thus ; x = 5.5 * 11.5
x = 63.25 km
Our answer in wanted to the nearest tenth of a kilometer so the answer is 63.3 km
please helppppppp !!!
Answer:
64
Step-by-step explanation:
Supplementary angles add up to 180. Since you are given one, just subtract 116 from 180 to get 180 - 116 = 64.
Solve by the quadratic formula x^2 = 6x-4
Answer:
x=3+√5 or x=3−√5
Step-by-step explanation:
The sand used for sanding icy roads in the winter is stored in a conical-shaped structure with a radius of 10 m and a height of 16 m. Calculate the maximum amount of sand which can be stored in this structure.
Answer:
1,675.516
Step-by-step explanation:
The formula for a cone is V = pi r^2 h/3.
Plugging in the values of the radius and height, V = pi 10^2 16/3
Solving, you get:
V = pi 100 5.3333333
V = 1,675.516
A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.
2Points
Use complete sentences in your explanation.
Hint: Pythagorean Theorem: a^2+ b^2 = c^2
Answer: This triangle is not a right triangle
Step-by-step explanation:
In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides. Thus, 5^2+9^2=13^2. Simplify this to get 25+81=169, then 106=169. Because 106 does not equal 169, it is not a right triangle.
Hope it helps <3
Enter the coordinates of the vertex of the graph of y=2(x+5)^2
Answer:
The vertex is ( -5,0)
Step-by-step explanation:
The vertex form of a parabola is
y = a( x-h) ^2 +k
where ( h,k) is the vertex
y=2(x+5)^2
y=2(x - -5)^2 +0
The vertex is ( -5,0)
Answer:
vertex = (- 5, 0 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x + 5)² , that is y = 2(x + 5)² + 0 ← is in vertex form
with (h, k) = (- 5, 0 )
Lucy is tiling her bathroom. She buys white and blue tiles in the ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.If she buys 16 blue tiles how much does Lucy spend on tiles in total?
Answer:
* Lucy spent £289.2 on tiles *
Step-by-step explanation:
We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -
[tex]\frac{13}{2}[/tex] = [tex]\frac{x}{16}[/tex] ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,
13 [tex]*[/tex] 16 = 2[tex]x[/tex],
208 = 2[tex]x[/tex],
[tex]x[/tex] = 104 white tiles
So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,
£2.80 [tex]*[/tex] 16 = £44.8,
£2.35 [tex]*[/tex] 104 = £244.4,
Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2
Lucy spent £289.2 on tiles
The calculation is as follows;[tex]\frac{13}{2} = \frac{x}{16}\\\\ 13\times 16 = 2x\\\\ 2 x = 208[/tex]
x = 104 while tiles
Now the total amount should be
[tex] 2.80 \times 16 = 44.8\\ And, \\ 2.35 \times 104 = 244.4[/tex]
So,
= 44.8 + 244.40
= 289.2
Learn more: https://brainly.com/question/10283285?referrer=searchResults
Write the equations after translating the graph of y = |x|:
one unit up,
Answer:
y = | x | + 1
Step-by-step explanation:
Given y then y + c represents a vertical translation of y
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 1 unit up, thus
y = | x | + 1
41. In the diagram, a l b. Find the value of x. 55° (x+ 70)
Answer:
55°
Step-by-step explanation:
The corresponding image, which I will attach, is missing in order to solve the exercise.
We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:
55 ° + (70 ° + x °) = 180 °
we solve x °
x ° = 180 ° - 55 ° - 70 °
x ° = 55 °
So the value of x is 55 °
BC=6, EF=12
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT
A: AA
B: SAS
C: SSS
D: NOT
Answer:
C: SSS
Step-by-step explanation:
Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:
i) All three corresponding angles are the same (AAA)
ii) All three corresponding sides are the same proportion (SSS)
iii) Two corresponding angles are equal and a side is in the same proportion (ASA)
iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)
Given that:
AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6
[tex]\frac{DE}{AB} =\frac{DF}{AC} =\frac{EF}{BC}\\\\\frac{24}{12}=\frac{6}{3}=\frac{12}{6}=2[/tex]
Since All the sides are in the same proportion, it supports the SSS rule.
Answer: SSS
I have done this assignment before
What is the value of this expression when t = -12? -3|t − 8| + 1.5
Answer:
-59.5
Step-by-step explanation:
We are given the expression
-3|t − 8| + 1.5
t = -12
Subtituting -12 for t in the expression, we have:
-3|-12 - 8| + 1.5
-3|-20| + 1.5
Note : |-20| = 20
-3 × 20 + 1.5
= -60 + 1.5
= -59.5
The value of the expression = -59.5
What is the standard deviation of the data set {6, 8, 6, 11, 8, 8, 9}? round to the nearest tenth
Answer:
8
Step-by-step explanation:
the one that the number has are the same is the data
The standard deviation of the data set is 1.6
What is Standard Deviation?
The standard deviation is a measure of the amount of variation or dispersion of a set of values.
Here, given data
data(x) frequency(f) xf d² = (x-mean)² fd²
6 2 12 4 8
8 3 24 0 0
9 1 9 1 1
11 1 11 9 9
mean = ∑xf / ∑f
= (12+24+9+11)/(2+3+1+1)
= 56 / 7
mean = 8
Variance = ∑fd²/∑f
= 18 / 7
= 2.57
Standard Deviation = √variance
= √2.57
= 1.6
Thus, the standard deviation of the data set is 1.6
Learn more about Standard deviation from:
https://brainly.com/question/14747159
#SPJ2
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table: Color of Tile Number of times the tile is drawn
i
6 purple, 18 pink, 26 orange
i
What is the experimental probability that Jenny will pull out a purple tile?
Answer:
6/50
Step-by-step explanation:
Jenny pulled out 6 purple tiles out of the 50 trials
Answer: The experimental probability of Jenna pulling a purple tile is 6/50.
Step-by-step explanation:
In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.
figure out if the equation is inverse or direct
Answer:
A. Inverse variation
B. Direct variation
C. Direct variation
D. Inverse variation
Hope this helps you
Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
Answer:
77 degrees
Step-by-step explanation:
The diagram is drawn and attached below.
m∠3= (3x + 4)°
m∠5 = (2x + 11)°
Angles 3 and 5 are co-interior angles and are therefore supplementary (add up to 180 degrees).
(3x + 4)°+(2x + 11)°=180°
5x+15=180
5x=180-15
5x=165
x=33
Therefore, the measure of angle 5
m∠5 = (2x + 11)°
= (2(33) + 11)°
=66+11
=77°
The measure of angle 5 is 77 degrees.
Math is dumb and i can't do it
Answer:
B
Step-by-step explanation:
its a graph and I agree math is dumb
Answer:
agreed
Step-by-step explanation:
Starting at home, Luis traveled uphill to the gift store for 50minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12mph.
Answer:
Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour
Step-by-step explanation:
circumference of a circle is 18Pi inches. What is the area of the circle?
Answer:
81pi or 254.34 inches square
Step-by-step explanation:
18pi = 2pi*r
pi*r = 9pi
r = 9
pi*(9)^2 = 81pi = 254.34 inches square
Answer: 81 pi inches, or around 254.34 inches.
Step-by-step explanation:
Since the formula for circumference of a circle is 2piR (where R would be the radius), we know that the radius of this circle is 9. From that, we simply need to plug it into the formula for area of a circle: piRsquared. 9 squared is 81, and pi is around 3.14.
Hope this helped.
Please Help!!!! Please!!! A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly revenue, R(x), after x one-dollar decreases in price. This situation can be modeled by the equation y = (blank)x2 + (blank) x + (blank) Thank you SO MUCH!
Answer:
[tex]y=-50x^2+300x+2000[/tex].
Step-by-step explanation:
It is given that a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week.
[tex]Revenue=10\times 200=2000[/tex]
If he reduces the price by $1,then he sells 50 more candle sets each week.
[tex]Revenue=(10-1)\times (200+50)=9\times 250=2250[/tex]
If he reduces the price by x $1,then he sells 50x more candle sets each week.
[tex]R(x)=(10-x)\times (200+50x)[/tex]
[tex]R(x)=10(200+50x)-x(200+50x)[/tex]
[tex]R(x)=2000+500x-200x-50x^2[/tex]
[tex]R(x)=-50x^2+300x+2000[/tex]
It can be written as
[tex]y=-50x^2+300x+2000[/tex]
Therefore, the situation can be modeled by the equation [tex]y=-50x^2+300x+2000[/tex].
Answer:
This situation can be modeled by the equation y = -50 x2 + 300x + 2,000 and by graph Y.
Step-by-step explanation:
Your welcum
HELP HELP HELP,The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m. Which of the following choices is the length of the other leg? 5 4 5 None of these choices are correct.
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
the third leg is of the length 4[tex]\sqrt{5}[/tex]
Plz help me.. thanks if you do
Answer: the answer is C.
Step-by-step explanation: 5 is lesser than or equal to meaning its a open sign. and 2 is the opposite.
Answer:
The answer is C!
Step-by-step explanation:
Hope you have a great day :D
(Brainliest?)
Helpppppppppp pleasessssss
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
Find the cube root of 10648
Here is your answer!!!
Cube root of 10648 is 22.
Answer:
22
Step-by-step explanation:
[tex]\sqrt[3]{10648}[/tex] factors into [tex]\sqrt[3]{22^{3} }[/tex]
You then apply the radical rule: [tex]\sqrt[n]{a^{n} }[/tex]=a
In in this case a = 22
Sabendo que o perímetro de um polígono é obtido através da soma de todas as medidas dos seus lados, assinale a expressão que representa o perímetro da figura abaixo
Answer:
Perimeter = (4x + 12)
Step-by-step explanation:
As given in the question itself,
"Perimeter of a polygon is the sum of measures of all the sides of the polygon."
By this property expression to calculate the perimeter of the given polygon will be,
Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2
= 3x + 4 + (x + 4) + 4
= 4x + 12
Hence, Perimeter = (4x + 12)
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah's annual gross income and annual net incom
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
50 points PLZZZZZZZ HELP!!!!!!
Answer:
[tex]2^{-98}[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10} }{2^{4} } )^{7}[/tex]
[tex](2^{-14})^{7}[/tex]
[tex]2^{-98}[/tex]
Answer:
[tex]\boxed{\frac{1}{2^{98}} }[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10}}{4^2} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]
Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> [tex](2^{-10-4})^7[/tex]
=> [tex](2^{-14})^7[/tex]
=> [tex]2^{-98}[/tex]
=> [tex]\frac{1}{2^{98}}[/tex]
y=4/3x-3 4x-6y=10 system of equations using substitution
Answer:
Point form (2, -1/3 Equation form: x=2, y= -1/3
Step-by-step explanation:
Combine 4/3 and x
Replace all occurrences of y in 4x−6y=10 with 4x/3 -3
Simplify 4x− 6 (4x/3 -3)
Solve for x in the second equation.
Simplify
4(2) /3−3