95% of molds filled by this machine will hold weights in are within 1106 pounds to 1194 pounds
What is an empirical rule?The empirical rule states that for a normal distribution, about 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within one standard deviation from the mean
Given a mean of 1150 pounds and a standard deviation of 22 pounds. Hence:
95% are within two standard deviations of the mean = 1150 ± 2(22) = (1106, 1194)
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Answer:
1106 - 1194
Step-by-step explanation:
What is 70% of 30? Question 4 options: A 7 B 15 C20 D 21
Answer:
Last option, 21Step-by-step explanation:
I calculated it.
Answer:
the answer is 21
21
jeff is making a fruit salad. he has 1 1/3 cups blackberries and 2 1/2 cups of strawberries. how many cups of blackberries does he have for every 1 cup of strawberries
The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
What are the mixed numbers?Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.
Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,
[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]
Jeff has 2 1/2 cups of strawberries. In the fractional number,
[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]
Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,
[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]
Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.
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Use the compass and ruler to inscribe a circle in the triangle.
Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle
The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is
Answer:
2143.57 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 2143.57 cm³This is a graph of y =2x-7
Use the graph to solve these equations
a. 2x-7=5
b. 2x-7=0
Question 3 of 10
A student performed the following steps to find the solution to the equation
x2 + 4x - 12 -0. Where did the student go wrong?
Step 1. Factor the polynomial into (x+6) and (x-2)
Step 2. x-6 = 0 and x + 2 = 0
Step 3. X = 6 and x = -2
O A. in Step 2
B. in Step 1
O C. in Step 3
D. The student did not make any mistakes, the solution is correct
Answer:
A) in Step 2
Step-by-step explanation:
Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.
a bracelet that costs 200 last year costs 158 this year. what is the percent of decrease
Need help! will award brainiest
Find the slope of a line that goes through the points (2, 5) and (-4, 3)
Answer:
[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]
Explanation:
[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]
Find slope:
[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]
insert values
[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{1}{3}[/tex]
Answer: -1/3
Step-by-step explanation:
The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.
Solve for a... b=5/7(a-11)
Answer:
[tex]a = \frac{7b}{5} -11[/tex]
Giving Brainlist Please Help!!!! Find the perimeter of the rhombus. Use the Pythagorean Theorem.
Answer:
Choice D, 20 inches.
Step-by-step explanation:
The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]
c = [tex]\sqrt{9 + 16}[/tex]
c = [tex]\sqrt{25}[/tex]
c = 5
The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.
Answer:
D. 20 in
Step-by-step explanation:
Finding the side of the rhombus :
side of the rhombus = √3² + 4²side of the rhombus = √9 + 16side of the rhombus = √25side of the rhombus = 5 inPerimeter :
4 x side length4 x 5 in20 inOur TA owns four Porsches, each works of the time, and two Ferraris, each works of the time. What is the probability that on a given day, at least half of the Porsches and at least half the Ferraris work
Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.
What is the probability that only half of the cars work?The Porches work 80% of the time and the Ferraris work 60% of the time.
Using the binomial distribution, the probability that half the Porches work is:
= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾
= 0.9728
The probability that half the Ferraris work is:
= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾
= 0.84
The probability that only half of both will work is:
= 0.9728 x 0.84
= 0.8172
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Solve this questiion please asap
Answer:
Y=3
Step-by-step explanation:
please mark brainliest
Answer:
Y = 3
If you need me to explain it step by step lmk.
Express x^2-5x+8 in the form (x-a)^2+b where a and b are integers
Answer:
[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
Step-by-step explanation:
Complete the square
[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
The volume of a tree stump can be modeled by considering it as a right cylinder. Ashley measures its height as 1.2 ft and its radius as 20 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have h = 1.2 ft = 1.2×12 = 14.4 inches
r = 20 inches
[tex]\rm V = \pi (20)^2 \times 14.4[/tex]
After calculating, we get:
V = 18095.57 ≈ 18095.6 cubic inches
Thus, the volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
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Answer:
Step-by-step explanation:
2
32 - 5v = 3v + 8
Please answer this lol I only have 30 minutes left on my skills-
Answer:
3
Step-by-step explanation:
32 - 5v = 3v + 8
Subtract V from both sides
32 -5v = 3v + 832 -3v = -3v + 8So . .
= 32 -8v = 8
Now . .
Subtract 32 from both sides
-32 -8v = 32-8 = -24= -8v = -24Now divide to get your answer!
-24 / -8 = 3
Can you help me? I don’t understand this question at all. It would really help.
Answer:
9.6 ft.
Step-by-step explanation:
Given they are similar, take the sides of the triangles in proportion.
AB/DE = AC/DF8/5 = AC/6AC = 1.6 x 6AC = 9.6 ft.HELPPPP
y=1/8x+3 in standard form
Answer:
[tex]x-8y=-24[/tex]
Step-by-step explanation:
Standard form of a linear equation: [tex]Ax+By=C[/tex]
(where A, B and C are integers, and A shouldn't be negative)
Given equation:
[tex]y=\dfrac{1}{8}x+3[/tex]
Multiply both sides by 8:
[tex]\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3[/tex]
[tex]\implies 8y=x+24[/tex]
Subtract 8y from both sides:
[tex]\implies 8y-8y=x+24-8y[/tex]
[tex]\implies 0=x+24-8y[/tex]
Subtract 24 from both sides:
[tex]\implies 0-24=x+24-8y-24[/tex]
[tex]\implies -24=x-8y[/tex]
In standard form:
[tex]\implies x-8y=-24[/tex]
Each base of a right prism is a rhombus. The figure has
a vertex at (4, 0, 2). Which ordered triple represents
other vrtices of the prism? Select three options.
(-4, 0, -2)
(0, -3,2)
(0, -3,0)
(-4, 0, 2)
(0, 3, -2)
Answer:
(0, -3, 2)
(0, -3, 0)
(-4, 0, 2)
What are vertices?Corner where 2 or more edges meet.
How would you find vertices of a rhombus?If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given
[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]
be the two points.
How many dots are in 1/2 of this group?
Answer:
the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.
and the 1/2 of this in the group Is 9
Find the median of the data. 3,5,7,9,11,3,8 The median is
Answer:
7
Step-by-step explanation:
The median is 7, if you place all the numbers in order then start crossing off the smallest and then largest number, you would be left with the number in the middle which is 7.
Answer:
7
Step-by-step explanation:
3, 3, 5, 7, 8, 9, 11
7 is in the middle.
Triangle ABC is going to be dilated by a scale factor of 3.
If A is located at (-1,2), where will A' be located?
In triangle ABC, If A is located at (-1,2), A' will be located at (-3, 6)
To answer the question, we need to know what dilation is
What is dilation?Dilation is a form of transformation in which the size of an object is increased or decreased by a factor.
For any object with coordinates (x,y) dilated by a factor k, the new coordinates of the dilated object is (kx, ky).
Given that triangle ABC is going to be dilated by a scale factor of 3 and A is located at (-1, 2).
Since
(x, y) = (-1, 2) and k = 3, The coordinates of A'The new coordinates of A' = (kx, ky)
= (3 × -1, 3 × 2)
= (-3, 6)
So, A' will be located at (-3, 6)
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What is the volume of the following rectangular prism????????
What is the square root of 3415? Thank You!
The square root of 3415 is 58.438001334748
Write the ratios for sin A and cos A.
A
26
B
10
C
24
Not drawn to scale
To produce 10 shirts, the total cost is $80; to produce 11 shirts, the total cost is $99. The average total cost of the 11th shirt is equal to Group of answer choices $8. $9. $80. $99. $19.
Aryll measures the water depth at the end of her dock. Waves are coming in, so the water level keeps changing.
The graph below shows the water level, h, in feet, t seconds after she began measuring. Approximately how much time passes between consecutive waves?
Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.
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23. Solve using the principles together. Don't forget to check.
7y - (4y - 14) = 23
---Distribute the negative sign into the terms in the parentheses
7y - 4y + 14 = 23
---Combine like terms
3y + 14 = 23
---Subtract 14 from both sides
3y = 9
---Divide both sides by 3
y = 3
Answer: y = 3
Answer Choice: A, 3
Hope this helps!
Answer:
A. The solution is y = 3.
Step-by-step explanation:
Given
7y - (4y - 14) = 23Distribute the value to the terms in parentheses.
7y - (4y - 14) = 237y - 4y + 14 = 23Simplify like terms and subtract 14 from each side.
3y + 14 - 14 = 23 - 143y = 9Divide by 3 on each side.
3y/3 = 9/3y = 3A. The solution is y = 3.
Find the area of the kite by summing the areas of the triangles that make it.
answer = 70
top triangle
1/2 times 5 times 5 = 12.5
12.5 times 2 = 25
bottom
14 - 5 = 9
1/2 times 5 × 9 = 22.5
22.5 times 2 = 45
45 + 25 = 70
The area of the kite is [tex]70in^2[/tex]
How do you find the area of a kite and what is the formulaThe area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Given;
[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]
[tex]70_2=140[/tex]
Therfore, the area of the kite is [tex]70in^2[/tex]
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Match each graph on the left with the functions on the right.
The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
What is the definition of a linear equation?
It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.
When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.
The four graph are attached in the attachment.
Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.
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