Answer:
[tex]60x-5[/tex]
Step-by-step explanation:
Multiply 10 by 6
60x - 5
The diameters of bolts produced by a certain machine are normally distributed with a mean of 1.20 inches and a standard deviation of 0.01 inches. What proportion of bolts will have a diameter greater than 1.211 inches
Answer:
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
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 1.20 inches and a standard deviation of 0.01 inches.
This means that [tex]\mu = 1.20, \sigma = 0.01[/tex]
What proportion of bolts will have a diameter greater than 1.211 inches?
This is 1 subtracted by the p-value of Z when X = 1.211. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.211 - 1.20}{0.01}[/tex]
[tex]Z = 1.1[/tex]
[tex]Z = 1.1[/tex] has a p-value of 0.8643.
1 - 0.8643 = 0.1357
0.1357 = 13.57% of bolts will have a diameter greater than 1.211 inches
A man bought a house for 3600 Naira he repairs the house with 150 Naira if he sold the house for 4950 Naira . Find his percentage profit
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Answer:
32%
Step-by-step explanation:
The man invested a total of ...
3600 +150 = 3750
in the house. He sold it for a profit of ...
4950 -3750 = 1200
The percentage profit on his investment is ...
(1200/3750) × 100% = 32%
HELP ME PLEASEEE!!!!Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test. How long did Jordan spend studying for each test? Answers:
1 3/4 hours. 3/5 hours. 1/5 hours. or 1 2/3
Answer:
oh god I wanna feel dead oh god i wanna feel dead
The length of a rectangle is six times its width. If the perimeter of the rectangle is 126 in, find its length and width.
Answer:
Length = 54 inches and width = 9 inches.
Step-by-step explanation:
Let the width be x in , then the length is 6x in.
So 2*x + 2*6x 126
14x = 126
x = 9 in.
So L = 6*9 = 54 in, and W = 9 in.
Step-by-step explanation:
Perimeter = 2l + 2w
but;
Perimeter = 126
lenght = 6w ( let the width be the variable w)
126 = 2(6w) + 2(w)
126 = 12w + 2w
126 = 14w
126/14 =w
w = 9
Therefore width is 9
and length = 6× 9 = 54
HELP ME PLEASE . IM BEGGING!!
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?
The r-coordinate is positive, and the y-coordinate is negative.
The r-coordinate is negative, and the y-coordinate is negative.
The x-coordinate is positive, and the y-coordinate is positive.
The r-coordinate is negative, and the y-coordinate is positive.
Answer:
the x coordinate is negative and y coordinate is positive
Step-by-step explanation:
Question and choices Are below
Answer:
9ft
Step-by-step explanation:
Use the pythagorean theorem.
15^2 = 12^2 + x^2
solve for x
x^2 = 81
x = 9
Find the value of x. Round your answer to the nearest tenth.
Answer:
x = 9.7
Step-by-step explanation:
Reference angle (θ) = 68°
Opposite = 24
Adjacent = x
Apply, the trigonometric function, TOA which is:
[tex] tan (/theta) = \frac{Opp}{Adj} [/tex]
Plug in the values
[tex] tan 68 = \frac{24}{x} [/tex]
Multiply both sides by x
[tex] x*tan 68 = 24 [/tex]
Divide both sides by tan 68
[tex] x = \frac{24}{tan 68} [/tex]
x = 9.69662942
x = 9.7 (nearest tenth)
FIFTY POINTS
Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition? A. 0 B. 1 C. 2 D. 4 E. infinitely many
Each of the four angles of a quadrilateral measures 90°.
Only 1
we can construct using this condition.
as interior angle of quadrilateral and rectangle is 360°
Answer:
the answer is INFINITELY MANY
Step-by-step explanation:
Melissa has two coupons for shoes. Coupon A: Coupon B: 15% off of S41 shoes $10 rebate on S41 shoes Choose the coupon that gives the lower price. Then fill in the blank with the correct value.
Answer:22
Step-by-step explanation:
The complete sentence is
The price with coupon B is $10 less than the price with coupon A.
It depends on the original price of the S41 shoes.
Coupon A offers a 15% discount on S41 shoes, while Coupon B provides a $10 rebate on S41 shoes.
Let's assume the original price of the S41 shoes is P dollars.
Using Coupon A, the discounted price would be 85% of the original price = (0.85 * P) dollars.
Using Coupon B, the price after the $10 rebate = (P - $10) dollars.
Now, compare (0.85 * P) with (P - $10).
simplify the expression (0.85 * P) < (P - $10) as
0.85P < P - $10
0.85P - P < - $10
-0.15P < - $10
P > (- $10) / (-0.15)
P > $66.67
Therefore, if the original price of the S41 shoes is greater than $66.67, Coupon A (15% off) will give a lower price. If the original price is lower than $66.67, Coupon B ($10 rebate) will give a lower price.
Learn more about Inequality here:
https://brainly.com/question/20383699
#SPJ4
How is an equilateral triangle different from an isosceles triangle?
A.
An equilateral triangle cannot have two sides that are the same length.
B.
An equilateral triangle has to have three sides that are the same length.
C.
An equilateral triangle has to have a 90° angle.
D.
An equilateral triangle cannot have three sides that are the same length.
Answer: B
Step-by-step explanation: An Isosceles triangle has two equal sides. A equallateral triangle has all the sides equal
laraba has x naira. kunle has 15 naira less than laraba. together, the number of naira they have is:
A x- 15
B 2x
C 2x-15
D 2x+15
E 15
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Answer:
C. 2x -15
Step-by-step explanation:
The respective numbers of naira are ...
laraba: x
kunie: x-15 . . . . . 15 less than laraba
Then the total is ...
laraba + kunie = x +(x -15) = 2x -15 . . . . matches choice C
Which is the equation of a line that is perpendicular to the line with equation
Answer:
(D)
Step-by-step explanation:
The slope of the given line is (2/3) which means that a line perpendicular to it must have a slope of (-3/2).
Help me pls do correct it correctly
Answer:
Complementary Angles - 3rd one (at the bottom)
Supplementary Angles - 2nd one (at the top-right)
Vertical Angles - 1st one (at the top-left)
Feel free to mark it as brainliest :D
A triangular plaque has side lengths of 8 inches, 13 inches, and 15 inches.
Use Heron's Formula to find the area of the plaque.
==========================================================
Explanation:
a = 8, b = 13, and c = 15 are the sides of the triangle
s = (a+b+c)/2 = (8+13+15)/2 = 18 is the semi-perimeter, aka half the perimeter.
Those values are then plugged into Heron's Formula below
[tex]A = \sqrt{s*(s-a)*(s-b)*(s-c)}\\\\A = \sqrt{18*(18-8)*(18-13)*(18-15)}\\\\A = \sqrt{18*(10)*(5)*(3)}\\\\A = \sqrt{2700}\\\\A = \sqrt{900*3}\\\\A = \sqrt{900}*\sqrt{3}\\\\A = 30\sqrt{3}\\\\A \approx 51.9615\\\\A \approx 52\\\\[/tex]
The triangular plaque has an area of approximately 52 square inches.
Integrate Sin(3x)Cos(3x) dx
Answer:
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
Step-by-step explanation:
We use integration by substitution to obtain the integral, where:
[tex]u = \sin 3x[/tex], [tex]du = 3\cdot \cos 3x\,dx[/tex]
[tex]I = \int {\sin 3x\cdot \cos 3x} \, dx[/tex]
[tex]I = \frac{1}{3} \int {u} \, du[/tex]
[tex]I = \frac{1}{6}\cdot u^{2} + C[/tex]
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
can you please help me with this question ❣
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Answer:
see attached
Step-by-step explanation:
A graphing calculator is useful for this.
The region of interest is below the parabola and above the line.
What do the value of
(5 1/3)^3
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....Find what is x for that angle?
Answer:
X 30
Step-by-step explanation:
I did the math and all you had to do was times all the nymbers!
A recipe for lemon bars uses 1 sticks of
butter. Ben wants to make 4 batches.
How many sticks of butter does Ben need
to make 4 batches of lemon bars?
According to the preamble to the constitution what is one purpose of government
Answer:
The Preamble states the six purposes of government to form a more perfect union; establish jusice; insure domestic tranquility;provide for the common defense; promote the general wefare; secure the blessings of liberty now and the future
Answer:
32 I just know it the answer
Dilate the figure by the scale factor. Then enter
the new coordinates.
A(-2,4)
K=3
B(4,-1)
A'([?],[])
B'([10
C'( 10 )
C(-1,-2)
Step-by-step explanation:
A'(-6, 12)
B'(12, -3)
C'(-3, -6)
Relationships in Figures
If one measurement of a golden rectangle is 5.4 inches, what is the other measurement?
a. 8.737
b. 7.018
c. 1.618
d. 3.782
Please select the best answer from the choices provided
Answer:
A. 8.737
Step-by-step explanation:
I calculated it logically
Please help and hurry!
Answer:
25.13
C=2πr
C=2(3.14)4
2 Find the circumference and area of the pizza. Use 3.14 for pi. Round your answer to the nearest hundredth 13 in. The circumference of the pizza is
Answer:
A = 254.34 in² and circumference = 56.52 inch
Step-by-step explanation:
The attached figure shows a pizza having diameter of 18 inches
Radius of the pizza = 9 inches
The area of the pizza is given by :
[tex]A=\pi r^2\\\\=3.14\times 9^2\\\\=254.34\ in^2[/tex]
The circumference of the pizza is given by :
[tex]A=2\pi r\\\\=2\times 3.14\times 9\\\\=56.52\ inch[/tex]
Hence, this is the required solution.
What is the inverse operation of multiply by 12? A. add 12 B. subtract 12 C. multiply by 12 D. divide by 12
Answer:
D. divide by 12
Step-by-step explanation:
→ When you :
- Multiply, the inverse is divide
- Divide, the inverse is multiply
- Add, the inverse is minus
- Minus, the inverse is add
Mr. Chen writes the expression 4 ×
(
7
−
2
)
2
÷ 10 on the
board. evaluate the expression
Answer:
4*(7-2)2÷10
=4*5*1/5
=20/5
=4
Step-by-step explanation:
Lucas wants to make a bigger pencil holder. 5 cubes wide, 12 cubes long, 3 cubes high and 1 cube thick. How many cubes were used for the base of the pencil holder?
Answer:
60
Step-by-step explanation:
5 * 12 = 60
Lakshmi donates 20% of her income to charity.
What fraction of her income does Lakshmi donate to charity
Answer:
1/5
Step-by-step explanation:
Answer:
as given 20%,
so 20% into fraction
20
100
=>1
5 is the answer
SALE
70% OFF!
The original price of a chandelier is $440. How much will Victoria pay if she buys it during the
sale?
Answer:
308
Step-by-step explanation:
70/100 x 440 = 308