Answer:
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
7933 parts
b) How many would have a tensile strength in excess of 48 pounds?
2739.95 parts
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
z = (x-μ)/σ
x = 35 μ = 40 , σ = 5
z = 35 - 40/5
= -5/-5
= -1
Determining the Probability value from Z-Table:
P(x<35) = 0.15866
Converting to percentage = 15.866%
We are asked how many will fail to meet this specification
We have 50,000 parts
Hence,
15.866% of 50,000 parts will fail to meet the specification
= 15.866% of 50,000
= 7933 parts
Therefore, 7933 parts will fail to meet the specifications.
b) How many would have a tensile strength in excess of 48 pounds?
z = (x-μ)/σ
x = 48 μ = 40 , σ = 5
z = 48 - 40/5
z = 8/5
z = 1.6
P-value from Z-Table:
P(x<48) = 0.9452
P(x>48) = 1 - P(x<48)
1 - 0.9452
= 0.054799
Converting to percentage
= 5.4799%
Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds
We are asked, how many would have a tensile strength in excess of 48 pounds?
This would be 5.4799% of 50,000 parts
= 5.4799% × 50,000
= 2739.95
Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds
Olivia needs $104 to buy the bike she wants. She saves $8 a week. Find the number of weeks it would take for Olivia to have enough money to buy the bike.
Answer:
13
Step-by-step explanation:
This is a division problem.
$104/$8 = 13
Answer: 13
Suppose you travel 300 miles on a highway for 6 hours.At what rate did you travel?use the distance formula d=rt and solve for r.
Answer:
50 mph
Step-by-step explanation:
Bucky received $100 for his birthday. How many hours can he jet ski on Lake Smellsomemore if costs $15
per hour to rent a jet ski and he also has to spend $10 on an inflatable life jacket?
Answer:
b hours
Step-by-step explanation:
100 minus the 10 on the jacket equals 90. 90 divided by 15 is 6
Which equation show the relationship in the table?
Answer:
hours = 5 x dollars
Step-by-step explanation:
Because, for every hour you earn 5 dollars.
OPEN ENDED QUESTION
Rewrite the following problem using
commutative property of addition: -3 + 7
Answer:
4
Step-by-step explanation:
7+-3=4
Answer:
4
Step-by-step explanation:
Step 1:
7 + ( -3)
Step 2:
7 - 3
Answer:
4
Hope This Helps :)
x +2y = 5
5x -y = 3
I need help with my homework please anyone
Answer:
Step-by-step explanation:
A steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. Find the height of the balance point of the blade.
Answer:
5.6 cm
Step-by-step explanation:
Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2
L = 1 cm
The y axis or the vertical length will be
L = sqrt ( [ 4-0]^2 + [0-0]^2)
L = Sqrt(16)
L = 4 cm
Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.
That is,
Thickness = 2 × 4 = 8 mm
The height of the balance point of the blade will be;
Height = 8 mm + 4 cm + 8 mm
Height = 0.8 + 4 + 0.8
Height = 5.6 cm
Note that the thickness will be added to both the top and the bottom of the blade.
in a survey of 23 college students it was found that 17 were taking an english class 10 were taking a math class and 8 were taking both english and math. how many students were talking a math only class?
a. 6
b. 14
c. 2
d. 4
Answer:
2
Step-by-step explanation:
out of 10 that were taking math 8 of them were also taking english. 10-8=2
Place the numbers in order from least to greatest.
0.24,4 x 10^-2,0.042, 2 x 10^-4,0.004
Answer:
2x10^-4,0.004,4x10^-2,,0.042,0.24
Step-by-step explanation:
i did the paper
A car Is traveling at a speed of 90 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will
the car travel in 2 minutes? Do not round your answers.
[tex]\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}[/tex]
[tex]\hrulefill[/tex]
To convert from kilometers per hour to kilometers per minute, we simply divide by [tex]60[/tex] as there are [tex]60[/tex] minutes in an hour.
[tex]\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}[/tex]
To find how far the car will travel in a certain time, just multiply the speed by the time.
[tex]1.5\ \text{km/min}*2\ \text{min}[/tex]
[tex]\large\boxed{3\ \text{km}}[/tex]
what is the value of x?
30
45
55
60
Answer:
[tex]\boxed {\tt B. \ x=45}[/tex]
Step-by-step explanation:
x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.
Add x and 3x, and set that equal to 180.
[tex]x+3x=180[/tex]
Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.
[tex](x+3x)=180[/tex]
[tex]4x=180[/tex]
Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{180}{4}[/tex]
[tex]x=\frac{180}{4}[/tex]
[tex]x=45[/tex]
x is equal to 45, so the correct answer is B. 45
In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).
Supplementary angles add upto 180°.Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.
Then,
[tex] \angle TRS + \angle TRV = 180 \degree[/tex]
In the question, given angle TRS = x and angle TRV = 3x
[tex]x + 3x = 180 \degree[/tex]
[tex]4x = 180 \degree[/tex]
Now, divide 4 from both sides because we need to find x.
[tex]x = \frac{180 \degree}{4} [/tex]
[tex]x = 45 \degree[/tex]
It was given that Angle TRS is x
So, Angle TRS = 45°
Option B
#CarryOnLearning
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Which graph shows the solution to the inequality -3x-7 <20?
+
-10
-5
0
ch
5
10
+
-10
-5
0
5
10
A
0
-5
5
5
10
-10
+
5
10
0
-5
-10
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
You are part of a construction company that is supposed to build houses. An architect has left plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 25 houses. Island A and Island C have a total of 10 houses. Island B and Island C have a total of 25 houses. A total of 30 houses is to be built on the three islands. Determine how many houses are to be built on each island.
Answer:
Island A=5
Island B=20
Island C=5
Step-by-step explanation:
Island AB=25 house
Island AC=10 house
Island BC=25 house
Total =30 house
30-25 to get the house on island C which is 5
30-10 to get the house on island B which is 20
30 -25 to get the house on island A which is 5
HELP I'm stupid and idk what the answer is!
Answer:
72
Step-by-step explanation:
Answer:
72 m
Step-by-step explanation:
14x4=56
4x4=16
56+16=72
i need help please answer quickly this is due tomorrow
Step-by-step explanation:
elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck
Answer: see below
Step-by-step explanation:
Graph the points and rotate the graph as follows:
90° = 1 turn left180° = 2 turns left (or right)270° = 3 turns left (or 1 right)or use the following formulas:
90°: (x, y) → (-y, x)180°: (x, y) → (-x, -y)270°: (x, y) → (y, -x)1) 180°: (x, y) → (-x, -y)
D: (1, 4) → (-1, -4)
E: (7, 6) → (-7, -6)
F: (8, 3) → (-8, -3)
G: (2, 1) → (-2, -1)
2) 270°: (x, y) → (y, -x)
L: (1, 6) → (6, -1)
M: (8, 7) → (7, -8)
N: (5, 2) → (2, -5)
3) 90°: (x, y) → (-y, x)
Q: (2, 6) → (-6, 2)
R: (5, 7) → (-7, 5)
S: (7, 3) → (-3, 7)
T: (1, 1) → (-1, 1)
4) 180°: (x, y) → (-x, -y)
D: (3, 0) → (-3, 0)
E: (6, 1) → (-6, -1)
F: (7, -4) → (-7, 4)
G: (1, -6) → (-1, 6)
POSSIBLE POINTS
Sarah is making hairbows for 6 friends. She needs 1 yards of ribbon for each hairbow. How many total yards of ribbion will she use?
Answer:
6 yards
Step-by-step explanation:
she need 1 yard of ribbon for each hairbow and 6 friends to make them for
what is 5/6 divided by 5/9
Answer:
1 and 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
1.5 as a decimal
1 1/2 as a fraction
What is the place value of 3 in 9. 365?
Answer:
It is in the tenths place
Step-by-step explanation:
In the number 9.365, 3 is in the tenths place.
Find the base for the following items.
4 is 1% of what number?
Answer:
400
Step-by-step explanation:
Josh and Karen live 20 miles apart and at exactly 2 pm, both decide to ride their bikes towards each other's houses so that they can meet on the path somewhere in between. Josh rides at an average speed of 15 miles per hour and Karen rides at an average speed of 10 miles per hour. If Josh takes a 10 minute break after he starts to look at some birds while Karen rides the whole time, how many miles from Karen's house will they meet?
Answer:
They will meet at a distance 9 miles from Karen's house.
Step-by-step explanation:
Let the distance covered by Josh be [tex]S_{1}[/tex] and the distance covered by Karen be [tex]S_{2}[/tex]
The distance between Josh and Karen's houses is 20 miles. That is, the total distance both of them will cover is 20 miles.
Hence, [tex]S_{1} + S_{2} = 20 miles[/tex]
From the question, if Josh takes a 10 minute break after he starts while Karen rides the whole time, this means
If Karen rides for a total of [tex]t[/tex] mins, then Josh would spend [tex]t-10[/tex] mins for the journey
Also, Josh rides at an average speed of 15 miles per hour
and Karen rides at an average speed of 10 miles per hour
Now, for Josh
Distance = [tex]S_{1}[/tex]
Speed = 15 mile/hour (Covert to mile/minute); (NOTE: 1 hour = 60 mins)
Speed= 0.25 mile/min
Time spent = [tex]t - 10[/tex] mins
From
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Distance = 0.25 mile/min × (t-10) min
[tex]S_{1}[/tex] = 0.25(t-10) mile
[tex]S_{1}[/tex] = 0.25t - 2.5
t = ([tex]S_{1}[/tex] + 2.5) / 0.25 ....... (1)
For Karen,
Distance = [tex]S_{2}[/tex]
Speed = 10 mile/hour (Covert to mile/minute);
Speed= [tex]\frac{1}{6}[/tex] mile/min
Time spent = t
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Then, [tex]S_{2}[/tex] = [tex]\frac{1}{6}[/tex] mile/min × t min
[tex]S_{2}[/tex] = [tex]\frac{1}{6}t[/tex] mile
t = 6[tex]S_{2}[/tex] ......... (2)
Equating equations (1) and (2), we get
([tex]S_{1}[/tex] + 2.5) / 0.25 = 6[tex]S_{2}[/tex]
Then,
([tex]S_{1}[/tex] + 2.5) = 1.5[tex]S_{2}[/tex]
Recall that
[tex]S_{1} + S_{2} = 20 miles[/tex]
Then, [tex]S_{1} = 20 - S_{2}[/tex]
∴[tex]20 - S_{2}[/tex] + 2.5 = 1.5[tex]S_{2}[/tex]
2.5[tex]S_{2}[/tex] = 22.5
[tex]S_{2}[/tex] = 22.5 / 2.5
[tex]S_{2}[/tex] = 9 miles
This means Karen covers a total distance of 9 miles
Hence, they will meet at a distance 9 miles from Karen's house.
I need the answer to this with the steps, that’d help me out so much thank you❤️.
Answer: The dimensions of the frame:.
W= 2√10 or about 6.3245 inches
L= 4√10 or about 12.6491 inches
Step-by-step explanation:
This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.
Here the equation is w(2w)=80
2w^2 = 80 (2w is easier to work with than L/2).
w^2=40 (^2 means squared)
√w^2 = √40 square root of both sides: Factor 40. Take out√4
W = √4*10
W= 2√10
L= 2w = 4√10
6.3245 × 12.6491 = 80
In the figure below, what is the value of xº?
75°
79°
O A. 180°
B. 26°
O C. 64°
O D. 101°
Answer:
x=26°
B. 26°
Step-by-step explanation:
Triangle Sum theorem
75 + 79 + x =180
154 + x =180
x= 26
The second angle in a triangle is 3° less than twice the first angle. The third angle measure is 8° more than twice the first angle. Find each angle
Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.
Step-by-step explanation:
Wee will represent the first angle by f,the second by s, and the third by t.
If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation s= 2f-3 .
The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .
Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.
f+ (2f+8) + (2f -3) = 180 Combine like terms on the left side
5f + 5 = 180
-5 -5
5f= 175
f = 35
So the first angle is 35 degrees.
Second angle.
s=2(35) - 3
s= 70 -3
s = 67
The second angle is 67.
Third angle.
t = 2(35) + 8
t= 70 + 8
t= 78
The third angle is 78 degrees.
Now add the angles up to see if they equal 180 degrees.
35 + 67 + 78 = 180
180 = 180
Given that every fifteenth person in line will get a coupon for a free box of popcorn at the movies, what is the probability that you don’t get a coupon when you’re in line? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
We know that every 15th person gets a free box of popcorn.
This depends on order, but nobody knows what is his actual position, so we can assume that:
of 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
1/15
And the negation, (the probability of not getting a free box) is:
1 - 1/15 = 14/15 = 0.93...
The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]
Probability :Given that, from 15 people, 1 will get a free box of popcorn.
Then the probability of getting free popcorn is:
[tex]P(E)=\frac{1}{15}[/tex]
the probability of not getting a free box is,
[tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]
Learn more about the probability here:
https://brainly.com/question/25870256
5 n/2= (a + b), for a
Answer:
5n/2 - b =a
Step-by-step explanation:
5n/2 = (a + b)
subtract b from both sides
5n/2 - b = a
A unit rate is a rate in which one of the quantities is 1. The unit rate is the same as the constant of proportionality. In our ice cream example, 1 scoop of ice cream costs $2. The unit rate, or unit price, of dollars per scoop is 2. Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot? A 1 B 2 C 3 D 4
Answer:
The annswer is 3 for the clay pots
Step-by-step explanation:
please help, I've tried learning this multiple times but just can't get it down
-2(m + 7) = 3(m + 2)
Answer:
m= -4
Step-by-step explanation:
-2m-14=3m+6
-14=5m+6
-20=5m
m= -4
What is -2/3 plus 1/5?
Answer:
-7/15
Step-by-step explanation:
Find GCF of both denominators
GCF: 15
Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5
This gives you -10/15 + 3/15
Solve
-7/15
Find the volume of oxygen in a room with the dimensions of 144.78 cm x 198.12 cm x 144.78
Answer:
4,152,842.53301 cm³ ≈ 4.1528 m³
Step-by-step explanation:
The volume of a rectilinear room of those dimensions will be the product of those dimensions:
(144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³
A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...
4.1528 m³
_____
We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.
_____
Additional comment
These dimensions correspond to those of a room that is 57 inches square and 78 inches high.