Answer:
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.
This means that [tex]\mu = 4.8, \sigma = 0.7[/tex]
(a) Probability that the the thickness is less than 3.0 mm
pvalue of Z when X = 3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 4.8}{0.7}[/tex]
[tex]Z = -2.57[/tex]
[tex]Z = -2.57[/tex] has a pvalue of 0.0051
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
The average temperature for four days was 22°. What must the temperature be on the fifth day in order to make 23° the temperature for the five days?
Answer:
27°C
Step-by-step explanation:
Average temperature on 4 days
[tex] = \frac{total \: temperatures \: for \: 4 \: days}{4} [/tex]
Total temperatures for 4 days
= 4(22)
= 88
If the average temperature throughout 5 days is 23°,
total temperature for 5 days
= 5(23)
= 115
Temperature on the 5th day
= total temperatures for 5 days -total temperature for 4 days
= 115 -88
= 27°C
given the circumference of circle b is 85 ft . what is the arc lenght of arc ADC?and the lenght of arc Ac
Answer:
Length of arc AC = 10.6 ft
Length of arc ADC = 73.4 ft
Step-by-step explanation:
θ = 45°
Circumference = 85 ft
✔️First, find the radius:
Circumference of a circle = 2πr
Thus:
85 = 2πr
Solve for r
Use 3.14 as π
Divide both sides by 2π
85/2π = r
85/2*3.14 = r
85/6.28 = r
r = 13.5350318 ≈ 13.5 ft (nearest tenth)
✔️Find length of arc ADC:
Length of arc = θ/360 × Circumference of the circle
θ = 360 - 45° = 315°
Circumference = 85 ft
Plug in the values
Length of arc ADC = 315/360 × 85
= 74.375 ≈ 73.4 ft (nearest tenth)
✔️Find length of arc AD:
Length of arc = θ/360 × Circumference of the circle
θ = 45°
Circumference = 85 ft
Plug in the values
Length of arc AC = 45/360 × 85
= 10.625 ≈ 10.6 ft (nearest tenth)
Help me pls I need a good grade
Answer: 226
Step-by-step explanation:
arc ZW is 180 (it is a semi Circle) and arc WX is 46 (the angle opposite the arc)
so arc ZWX is 180+46=226
-3/8*2/5 + 2/5 * 5/8
Answer:
.1
Step-by-step explanation:
Answer:
0.1
Step-by-step explanation
what is the answer? can someone help me
Answer:the answer u put is correct
Step-by-step explanation:
What can you say about
Someone please can help me to find the grids on the graph, please.
Answer:hold up
Step-by-step explanation:
one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored
The boy scored:
500 x 80% = 400 (marks)
PLS HELP
A triangle is shown.
Part A: What is the value of x, in degrees?
13.8
16
20
24
Part B: What is the measure of 2Ain degrees?
22
30
38
48
Answer:
A: x=16
B: ∠A=22
Step-by-step explanation:
A
The angles in a triangle always add up to 180. Therefore:
∠A+∠B+∠C=180
(2x-10)+(3x)+(4x+46)=180
2x+3x+4x+46-10=180
9x=180-36
x=144/9
x=16
B
∠A=2x-10
∠A=2(16)-10
∠A=32-10
∠A=22
which statement is most likely true about the place modeled I the diagrams?
Answer:
The answer is below. I hope this is the answer your looking for.
Step-by-step explanation:
The logging company would like to use its sample to provide convincing statistical evidence that over 50 percent of the trees in the forest are spruce trees. The logging company has decided to use a chi-square goodness-of-fit test to justify its claim. Why is the chi-square goodness-of-fit test not an appropriate procedure for the logging company to use
Answer:
The chi-square goodness-of-fit test is best used with categorical variables. The trees in the forest are not categorical variables but numerical.
Step-by-step explanation:
The chi-square goodness-of-fit test determines whether the distribution of cases in a single categorical variable follows a known distribution. The chi-square goodness-of-fit test data deal with data frequencies, levels, or counts of cases rather than percentages or other data transformations. Lastly, the categories of the variables are mutually exclusive because they assume the form of either or.
Answer:
A chi-square goodness-of-fit test would be used to show that the entire distribution of trees in the forest is different than what the forester reported, not necessarily the individual proportion representing the spruce trees.
Step-by-step explanation:
The answer is the explanation. Got it from CollegeBoard.org
look at pic 10 pts will mark brainilest
Answer:
The Answer is C
Step-by-step explanation:
2.00/5= C
can i have brainlist please :)
when can a parallelogram also be a kite?
9514 1404 393
Answer:
when it is a rhombus
Step-by-step explanation:
A kite is a figure in which the diagonals are perpendicular, and one of them is bisected by the other. It will be a parallelogram if both diagonals bisect each other. Such a figure (with mutually perpendicular bisectors as diagonals) is a rhombus.
A parallelogram that is a rhombus will also be a kite.
The skating rink charges $0.75 to rent skates and $1.25 per hour to skate. Which equation
can be used to find the number of hours (h) someone skated if he or she was charged
$4.50?
a) 0.75 + 1.25 = 4.50
b) h(0.75 + 1.25) = 4.50
c) 0.75 + 1.25h = 4.50
d) 0.75h + 1.25 = 4.50
Answer:
C.
It can be read as...
".75 was charged for skates, and 1.25 was charged per hour for a total of 4.50."
No other answer choice has this. A does not have the variable h, B includes .75 which is NOT charged per hour, as well as D.
I hope this helps you!
While standing on a pier, Lynette saw a balloon floating 20 feet above her and a fish swimming 4 feet below the surface of the water.
Let 0 represent the water surface, and let the positive side of 0 represent position above the surface. Which number sentence correctly compares the distances of the balloon and the fish to the surface of the water?
A. |-4| < |20|
B. |-4| > |20|
C. |4| < |20|
D. |4| > |-20|
Answer:
I'd go with A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
help pls will give brainliest !!!!
Answer:
can you retake the picture i cant really see this one very well
Step-by-step explanation:
can someone solve these for me? its factoring trinomials
you can dm the answers on ig as well if you'd like
Answer:
1.) [tex]\left(x-3\right)\left(x+6\right)[/tex]
2.) [tex]\left(a-3\right)^2[/tex]
3.) [tex]=\left(t+8\right)\left(t-9\right)[/tex]
4.) [tex]=\left(b+7\right)^2[/tex]
Step-by-step explanation:
2.) [tex]=a^2-2a\cdot \:3+3^2[/tex], [tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex].
[tex]a=a,\:b=3[/tex]
[tex]=\left(a-3\right)^2[/tex]
3.) [tex]=\left(t^2+8t\right)+\left(-9t-72\right)[/tex][tex]=t\left(t+8\right)-9\left(t+8\right)[/tex], [tex]\mathrm{Factor\:out\:common\:term\:}t+8[/tex].
[tex]=\left(t+8\right)\left(t-9\right)[/tex]
Help me please :(.....
Answer:
1, 1, 3, 3
Step-by-step explanation:
For an even function, f(-x) = f(x).
So, f(-1) = f(1) = 1.
Similarly, the other three blanks are 1, 3, and 3, respectively.
Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =
Answer
its confusing
Step-by-step explanation:
I picked the last one by accident but what is the correct answer?
2.1.1 Taxable income.
2.1.2 Tax rebates.
2.1.3 Tax threshold.
Answer:
Taxable income:
Taxable income includes wages, salaries, bonuses, and tips, as well as investment income and various types of unearned income. ... Taxable income also includes earnings generated from appreciated assets that have been sold during the year and from dividends and interest income.
Tax rebates:
A tax rebate (or tax refund) is money you reclaim from HMRC if you've paid too much tax. Travel tax refunds are a great example. If you're paying your own way to get to temporary workplaces, you can claim back some tax on your travel expenses.
Tax threshold:
The tax threshold is the amount of income below which you do not pay any income tax. The filing threshold is the income amount below which you do not have to file a tax return to Sars.
A glass prism on a chandelier is 80 millimeters long. A base of the prism is an equilateral triangle with side lengths of 9 millimeters and a height of about 5.8 millimeters. What is the approximate surface area of the prism?
Let's find the area of the equilateral triangle first:
There are two triangles - one on each end. So we multiply our previous expression by 2.
Each rectangle is 75 millimeters long and 9 millimeters wide: 75*9 mm^2.
We have 3 rectangles each the same size so we multiply 75*9 by 3.
75*9*3 = 2025
2025 + 70.2 = 2095.2
( PLEASE HELP )Use the table to write a proportion .
In a middle school of 80 students, 42 girls and 38 boys. What is the probability
that if two students were randomly chosen, the first is a boy and then a girl
sequentially?
Answer:
dont have idea
Step-by-step explanation:
have not studied that topic
Find x and y and thank you
Answer:
x = 8.66
y = 5
A park is rectangular with a length of 2/3
miles. If the area of the park is 3/9
square miles, what is its width? Input your answer as a fraction.
Answer:
Step-by-step explanation:
let : x the width
the area is 2/3 × x =3/9
x = (3/9)×3/2
x =1/2 miles
Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?
A-2629feet
B-2639feet
C-20feet
D-231feet
And explain
Answer:
i think B
Step-by-step explanation:
PLZ ANSWER NO FAKE LINKS
Answer:
equation is 4*3 =12
Step-by-step explanation:
She had 12 guests because there was 4 parts each.
HELP PLSSSS
hey can u look at the pic above pls and help
Answer:
1,296 students attended the fall play.
Step-by-step explanation:
Let the amount of students = s
Let the amount of adults = a
Three times the adults: 3a
150 fewer than three times the adults:3a-150
amount of students = 150 fewer than three times the adults: s=3a-150
We also know that a+s=1778. Let's sub in the value for s that we got above:
a+s=1778
a+3a-150=1778
4a=1928
a=482
a+s=1778
482+s=1778
s=1296