Answer:
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Manufacturing Ball bearings are manufactured with a mean diameter of 5 millimeters (mm).
This means that [tex]\mu = 5[/tex]
With a standard deviation of 0.02 mm.
This means that [tex]\sigma = 0.02[/tex]
(a) What proportion of ball bearings has a diameter more than 5.03 mm
This is 1 subtracted by the pvalue of Z when X = 5.03. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.03 - 5}{0.02}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.9332
1 - 0.9332 = 0.0668
0.0668 = 6.68% of ball bearings has a diameter more than 5.03 mm
The equation of the line graphed below is
Answer:
y=1/2*x+1
explanation: The slope is 1/2 by picking any 2 points and doing rise/run. the y-intercept is 1 therefore +1 at the end.
what is the unit rate shown by the graph
Answer:
id say 30 kilometers per hour
Which step should be performed first when simplifying 25−(14−8)+3×2 ?
Step-by-step explanation:
the operation of addition first, then multiplication; whereas student 2 ... When performing arithmetic operations there can be only one correct answer
Can someone help? I’ll give brainliest
Answer:
yes i will!
Step-by-step explanation:
What value of x will make the equation below true?
5x=3x+8
Answer:
x = 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
~Hoped this helped~
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
3
What is the solution to the equation 9x = 54?
x = 6
B) x = 7
C
X = 8
x = 9
Answer:
6
Step to Step:
9x6=54
Answer:
Option A
Step-by-step explanation:
In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.
[tex]9x=54[/tex]
[tex]\div9[/tex]
[tex]54\div9=6[/tex]
[tex]x=6[/tex]
Hope this helps.
Find the value of X
Answer:
18
Step-by-step explanation:
This is a 5 sided shape, aka a pentagon, and we know that five sided shape's angles add up to 540, so our equation is:
(9x-6)+(3x+23)+95+(7x-4)+90=540.
Combine like terms:
We get 25x+90=540
x = 18
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
9x^{2} - x^{3} - 9 + x
What is ^^^ factored?
Step-by-step explanation:
9x² - x³ - 9 + x
factored = x²(9 - x) - (9 - x)
= (9 - x)(x² - 1)
= (9 - x)(x + 1)(x - 1)
What is the graph represents the equation y=1/3x+2
Step-by-step explanation:
step 1. you mean which graph represents the equation y = (1/3)x + 2?
step 2. please provide the graphs - they are missing.
step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.
step 4. the y intercept is 2 so it goes through the point (0, 2).
During a test drive, a self-driving car travels a distance of 50 miles in 80 minutes. How many miles will the car travel after 160 minutes?
Answer:
100
Step-by-step explanation:
80*2=160
so 50*2=100
02.CI.Pre-
What is the approximate distance between point L (3,5) and point M (9,- 7)?
6.3 units
13.4 units
18.0 units
90.0 units
13.4 units hope this was helpful
The distance between two given coordinate points is 13.4 units. Therefore, option B is the correct answer.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
The given coordinate points are L (3, 5) and M (9, -7).
Substitute, (x₁, y₁)=(3, 5) and (x₂, y₂)=(9, -7) in distance formula, we get
LM=√(9-3)²+(-7-5)²
= √36+144
= √180
= 13.4 units
Therefore, option B is the correct answer.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ6
5. If the ratio of boys to girls in a student's class is 5 to 7, what fraction of the class is boys?
What fraction is girls?
Answer:
Boys ratio- 5/12 girls ratio 7/12 dont think you can simplify
Step-by-step explanation:
Answer:
5 = Boys 7 = Girls
Step-by-step explanation:
Boys:Girls = 5:7. I hope this helps :)
The ratio of red to blue marbles is 4 to 5. If there are 36 marbles
how many are blue?
Answer:
There are 45 blue marbles
Step-by-step explanation:
Well if 4 times 9 is 36, then 5 times 9 is 45
= 36 : 45
2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
Find the circumference of 17 km
Answer:
23
Step-by-step explanation:
Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)
Do 4x and 15+x have the same value when x is 5
Answer:
Yes!
Step-by-step explanation:
4x5= 20
15+5= 20
PLEASEEE HURRY I WILL GIVE BRAINLEST ITS JUST ONE QUESTION
This is literally my last try and if I get this wrong I fail PLEASE answer it correctly that’s all I ask.
(I just need the last question. The multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)
Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.
Answer:
A. The first one is a check the second one is a check the third one is a check and the 6th one is a check.
B. I think it is -5. 3, 8
C. should be negative
D. I think im sure but i dont want to give you the wrong answer
Step-by-step explanation:
Good luck on your test!
What is 264*675+1239-56+887
Answer:
180270
Step-by-step explanation:
Do Pemdas to find order of operations:
(264*675)+ 1239-56+887
So it is:
(178200)+2070
This equals: 180,270
Help me please guys.
Determine the ratio in the picture below
Answer:
Sin Z=30/50 or 3/5
Step-by-step explanation:
To figure out Sin Z, you need the formula which is Sin=o/h
O=opposite
H=Hypotenuse
To find opposite, you locate the angle(angle Z) and you draw an arrow that is opposite of the angle. To find hypotenuse, you pinpoint the right angle and you find the degree that it is opposite of.
O=30
H=50
Finally, you simplify 30/50 to get 3/5ths. Hope this helps you out!
write 1,593 in standard form
Answer:
one thousand five hundred and niethree .
Step-by-step explanation:
You just use words instead of numbers.
HELP BRIANLIEST TO BEST ANSWER
The school store has 1200 pencils in stock and sells an average of 25 pencils per day. The manager reorders when the the number of pencils in stock is 650.
The number of days is the independent variable.
True or false
Answer:
If anything, I think the answer is true. That is about 30 days, and that is an independent variable to me.
Step-by-step explanation:
Answer:
false they are measuring the amount the sold
Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2
Answer:
[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]
Step-by-step explanation:
Given
[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]
Required
Simplify
[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]
Split fraction
[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]
[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]
[tex]sec\ t = \frac{1}{cos\ t}[/tex]
So, we have:
[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]
[tex]f(t) = 1 - cos\ t * cos\ t[/tex]
[tex]f(t) = 1 - cos^2\ t[/tex]
In trigonometry:
[tex]1 - cos^2\ t = sin^2\ t[/tex]
So, we have:
[tex]f(t) = sin^2\ t[/tex]
Can someone help me with this pls, it's due very soon!!
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre of strawberry plants will yield 770 pounds of strawberries when 70 cubic feet of fertilizer are applied. If 90 cubic of feet of fertilizer are applied, the yield will be 990 pounds of strawberries. Use linear interpolation to estimate the yield if 72 cubic feet of fertilizer are applied.
______________(and select unit of meansure)---> (cubic feet/ pounds per cubic foot/ pounds/cubic feet per pound
Answer:
[tex]792\ \text{pounds}[/tex]
Step-by-step explanation:
[tex]x_1=70[/tex] cubic feet of fertilizer is used in [tex]y_1=770[/tex] pounds of strawberries
[tex]x_2=90[/tex] cubic feet of fertilizer is used in [tex]y_2=990[/tex] pounds of strawberries
[tex]x=72[/tex] cubic feet of fertilizer is used
Linear interpolation is applied
[tex]y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}[/tex]
72 cubic feet of fertilizer will yield [tex]792\ \text{pounds}[/tex] of strawberries.
Can anyone help I do t know how to find all seven angles
Answer:
1. 110
2. 70
3. 70
4. 110
5. 110
6. 70
7. 70
Step-by-step explanation:
when to lines cross, opposite angles are equal so like 1 and 4 are equal
1, 4, and 5 are equal to 110
to find 2, 3, 6, and 7, subtract 110 from 180
Step-by-step explanation:
110 is vertical from angle 5 so they are the same
180-110=70 degrees
what equality is shown here on the number above?
Answer:
the equality shown is : x is greater than or equal to -3.
which of the value of x satisfies the equation below -2x-7=12
A: x= -9.5
B: x= -9
C: x=9
d:x=9.5
Assume that y varies inversely
with x. Ify = 7 when x = 2/3, find
y when x = 7/3.
Y=?
Answer:
y = 2
Step-by-step explanation:
y varies inversely with x setup is:
y = k/x
7 = [tex]\frac{k}{2/3}[/tex] (find 'k')
k = 7/1 · 2/3
k = 14/3
use what you know about 'k' and 'x' to solve for 'y'
y = 14/3 ÷ 7/3 (remember to multiply by the reciprocal when dividing fractions)
y = 14/3 · 3/7
y = 2