the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587
The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.
To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.
We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.
We the look up the probability for a value of 1 in the z-table, which is 0.1587.
This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.
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What is the quotient?
Answer:
11/50
Step-by-step explanation:
=5x2+1= 11/5
=1/10×11×5
=11/50
Maon bought 64 pack of candy for $2 each. He old all of thee pack to hi friend for $4
each. Which equation can be ued to find p, the total profit that Maon earned?
The equation representing the total profit earned by Maon is Profit = 256 - 128.
Profit is calculated by the formula -
Profit = Cost price - Selling price
Cost price = 64×2
Performing multiplication to find the cost price
Cost price = $128
Selling price = 64×4
Performing multiplication to find the selling price
Selling price = $256
Keep the values in equation to find the profit
Profit = 256 - 128
Performing subtraction on Right Hand Side of the equation to find the profit
Profit = 128
Thus, the profit earned is $128.
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The solution to an inequality is given in set builder notation as {x 1 x > 2/3}. What is another way to represent this solution set?
Answer:
Step-by-step explanation:
34/5=p2
2[(x+2y)-4(6x+3y)+(4x+3y)]
Answer:
-38x - 14y
Step-by-step explanation:
2[x+2y - 24x - 12y + 4x + 3y]
2 [ -19x -7y]
- 38x - 14y
make a box-and-whisker plot of data 21,27,22,22,25,14,16,10
The minimum value, Q1, Median, Q3 and maximum value of the data are 10,15,21.5, 23.5 and 27 respectively. The box-and-whisker plot of data is attached
How to make a box-and-whisker plot of data?Given: 21,27,22,22,25,14,16,10
Arrange the data in ascending or descending order:
10,14,16,21,22,22,25,27
The minimum value = 10. The maximum value = 27
Find the median. The median is the value in the middle. The median values are 21 and 22. Thus:
10,14,16,21,22,22,25,27
Median (Q2) = (21+22)/2 = 21.5
Consider the values to the left of the median with one of the median numbers included (since we have two numbers in the middle): 10,14,16,21
Median = (14+16)/2 = 15
Thus, Q1 = 15
Also, consider the values to the right of the median with one of the median numbers included: 22,22,25,27
Meadian = (22+25)/2 = 23.5
Thus, Q3 = 23.5
To create a box and whiskers plot use Minimum value, Maximum value, Q1, Median(Q2) and Q3 (Check the attached image)
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I need help with question one, who would you find the missing side length
similar triangles have a ratio and in this case the ratio is 1:2 i hope you understand
Use synthetic division to find the result when x4 - 11x³ +26x² + 10x + 28 is
divided by x - 7.
Answer: x³-4x²-2x-4
Tips:
Bring down top values, then multiply by the outside value, then put it under the next value, add, and repeat
high school has 36 players on the football team. the summary of the players' weights is given in the box plot. how many players weigh between 169 and 194 pounds?
There are 8 players who weigh between 169 and 194 pounds.
To answer this question, we can look at the box plot to understand the distribution of weights on the football team. The box plot shows us the minimum, maximum, median, and quartiles of the team's weights. The left quartile is 169 pounds, and the right quartile is 194 pounds. This means that 25% of the team's players weigh between 169 and 194 pounds. Since the team has 36 players, 25% of 36 is 9. However, since we are looking at the number of players between 169 and 194 pounds, we need to subtract 1 since the right quartile of 194 pounds is included in the number of players. Thus, there are 8 players who weigh between 169 and 194 pounds.
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Use square roots to solve the equation x² = -36 over the complex numbers.
Answer:
x=+/- i 6
Step-by-step explanation:
x²=+/- rad(i²*36) i²= -1
x²=+/-i rad(36) [rad = square roots]
x²=+/- i 6
Micaela has $0.20 worth of pennies and nickels. She has a total of 8 pennies and
nickels altogether. Determine the number of pennies, a, and the number of nickels,
y, that Micaela has.
Micaela has
pennies and
nickels.
Answer:
3 nickels and 5 pennies
Step-by-step explanation:
3 nickels = 15¢
5 pennies = 5¢
15+5=20
Little help here? Also say why you got the answer…?
Answer: B
Step-by-step explanation:
Equation: S=KT
Just do S divided by T to get K and you get 7
Answer: s=7t
Step-by-step explanation:
you have to multiply every answer in the t column by 7 to get the number across in the s column
The gift hop at the Harbor Lighthoue ordered a hipment of 45 hirt with a pecial whale print. The hirt come in 5 different ize, and there are the ame number of hirt in each ize. How many hirt did the tore order in each ize? Write a diviion equation with that model the tory
equation will be the number of shirts ordered in each size. division equation with that model the theory 45 ÷ 5 = 9
The Harbor Lighthouse gift shop ordered a shipment of 45 shirts with a special whale print. This means that we need to divide 45 by 5, in order to find out how many shirts were ordered in each size. To do this, we can use a division equation.
In this equation, 45 represents the total number of shirts and 5 represents the number of sizes. The answer to this equation will be the number of shirts ordered in each size. When we divide 45 by 5, we get 9 as our answer. Therefore, the store ordered 9 shirts in each size.
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Whats the common denominator to find equivalent fractions for 2/3 and 1/6.
The common denominator of the fractions 2/3 and 1/6 will be 6.
What is the lowest common multiple?The lowest common multiple is the smallest multiple which is common between any two numbers.
It means we can divide both numbers by that and that is the smallest number by which both dived.
As per the given fractions 2/3 and 1/6.
Multiply 2 in numerator and denominator in 2/3.
2/3 x 2/2 = 4/6
Now denominator is the same thus common denominator is 6.
Hence "6 will be the common denominator for the fractions 2/3 and 1/6".
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Find the equation of the line pictured.
Answer: y=-1/2x+4
Step-by-step explanation:
find the slope of the line given which would be-2/4 which simlifys down to 1/2 then add your b (y intercept) and that wold be 4.
Written as a mixed number, the improper fraction 113⁄8 would appear as
[tex]\displaystyle\\Answer:\ \frac{113}{8} =14\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\\frac{113}{8}=\\\\\frac{112+1}{8}=\\\\\frac{112}{8} +\frac{1}{8} =\\\\14+\frac{1}{8} =\\\\14\frac{1}{8}[/tex]
points b , c and d lie on a straight line
AC is perpendicular to BD
BC=6cm and BD=22cm
triangle ABC has an area of 42
calculate the size of angle x
Step-by-step explanation:
To Find : size of angle x
Solution:
Area of ΔABC = (1/2) * BC * AC
=> (1/2) * BC * AC = 42
=> (1/2) * 6 * AC = 42
=> AC = 14 cm
BD = BC + CD
=> 22 = 6 + CD
=> CD = 16 cm
Tan x = AC /CD
=> Tan x = 14/16
=> Tanx = 7/8
=> x = Tan⁻¹(7/8)
=> x = 41.186°
The size of the angle is - 41. 186°
Points b,c, and d lie in a straight line. AC is perpendicular to BDBC = 6 cm, BD = 22 cm. Triangle ABC has an area of 42cm². the size of the angle = xarea of triangle ABC = 1/2 * BC * AC
or, 1/2 *BC * AC = 42
or, 1/2 * 6 * AC = 42
or, 3 * AC = 42
divide both sides by 3,
AC = 14 cm
BD = BC + CD
or, 22 = 6 + CD
or, CD = 16 cm
tan x = [tex]\frac{AC}{CD}[/tex]
or, tan x = [tex]\frac{14}{16}[/tex]
or, tan x = [tex]\frac{7}{8}[/tex]
or , x = 41. 186°
∴ The size of the angle is - 41. 186°.
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please help me answer this question
Answer:
The two equations are true for the same value because when you substitute 7 for x both of them are correct
Step-by-step explanation:
1) 3(7) - 5 = 16 3(7) = 21
27 - 5 = 16 21 = 21
16 = 16 True
True
The ordered pair that is a solution of the equation y = | -6x + 2 |
The ordered pair that is a solution to the given equation, y = | -6x + 2 |, is (1, 4)
Determining the ordered pair that is a solution to an equationFrom the question, we are to determine the ordered pair that is a solution of the given equation
The given equation is
y = | -6x + 2 |
To determine the ordered pair that is a solution to the equation, we will pick a value for x and determine the value of y for the value
y = | -6x + 2 |
Put x = 1
y = | -6(1) + 2 |
y = | -6 + 2 |
y = | -4 |
y = 4
Hence, the ordered pair is (1, 4)
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Consider the figure shown below (not drawn to scale). Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J The length of vertical segment XY is: W(3,13) P 0 T(9,9) S(9,3) -X
Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J. the length of vertical segment XY is 6.
What is a vertical segment?Generally, A part of a line that is totally vertical is referred to as a vertical line segment. This means that the two vertices that make up the segment's ends have the same x- and y-coordinates but different z-coordinates than one another.
The length of vertical segment XY can be found by subtracting the y-coordinate of point X from the y-coordinate of point Y.
In this case, the y-coordinate of point X is 13 and the y-coordinate of point Y is 7, so the length of vertical segment XY is
13 - 7 = 6.
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Complete Question not found
Image not found
PLEASE GIVE ME RIGHT ANSWERS HELP ME FAST I BEG YOU
A function is graphed below. On which
interval of x is the average rate of change
of the function the smallest?
X
3
7
21
39
65
Y
3
18
28
36
40
Answer:
The x-axis interval of 39 to 65 has the smallest rate of change.
Step-by-step explanation:
See the attached worksheet. The interval of x that results in the least change in y can be visually seen by plotting the points and drawing a curve. The curve begins to flatten as x increases. So the smallest rate of change is between the last two points, x = 39 to 65.
This can also be calculated by finding the change in y per a change in x. The table in the graph confirms the earlier observation. Dx and Dy represent the "delta," or difference, D, between the x (Dx) and y(Dy) values. The rate of change is calculated as Dy/Dx, or the change in y divided by the change in x. The results confirm that the 39 to 65 segment is the smallest, at 0.15.
Daliyah is given one point on a line as (3,−1) and the slope of the line as −5. What is the y-intercept of the line?
Answer: The y-intercept is 14
Step-by-step explanation:
The slope intercept is y=mx+b
since we already have the slope, we can write this as
y=-5x+b
substitute the points of (3,-1) into the equation and solve for b
-1=-5(3)+b
-1=-15+b
b=14
The y-intercept is 14
The y-intercept of the line is 14.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = -5
The line passes through the point (3, -1).
The equation of the line is y = mx + c.
y = -5x + c
(3, -1) = (x, y)
-1 = -5 x 3 + c
-1 = -15 + c
-1 + 15 = c
c = 14
Thus,
The y-intercept is 14.
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If vertical angles are congruent, then two lines cut by a transversal are parallel.a. Trueb. False
The vertical angles are congruent, then the two lines cut by a transversal are parallel is False.
Option B is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Vertical angles are congruent.
Vertical angles are pairs of opposite angles made by intersecting lines.
Thus,
For vertical lines to be congruent, we do not need two parallel lines.
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at the beginning of a semester an anonymous survey was conducted on students in a statistics class. two of the questions on the survey were about gender and whether or not students have equal, more, or less energy in the afternoon compared to the morning. below are the results. what test should we perform to see if gender and energy level are associated? 1 point z test hypothesis test for a single mean anova chi-square test of independence f test comparing two means chi-square test of goodness of fit comparing two proportions
Chi-square independence test.
What is Chi-square?A test that evaluates how well a model matches real observed data is the chi-square (2) statistic.
A chi-square statistic can only be calculated with data that is random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a sizable enough sample.
The outcomes of a fair coin toss, for instance, satisfy these requirements.
To test hypotheses, chi-square tests are frequently employed.
Given the size of the sample and the number of variables in the relationship, the chi-square statistic examines the size of any discrepancies between the expected results and the actual results.
According to the total number of variables and samples used in the experiment, degrees of freedom are utilized in these tests to assess whether a particular null hypothesis can be rejected. as well.
According to our question-
The independence of two variables, each of which is categorized into a variety of categories or attributes, is also tested using the chi square statistic.
When the cell probabilities rely on the unknown parameters, the goodness of fit test is relevant as long as the unknown parameters are substituted by their estimates and as long as one degree of freedom is subtracted for each estimated parameter.
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What is 1/4 − (−1 1/2)? Write the answer as a mixed number in simplest form.
plsssssss help ill give 20 pnts
The answer as a mixed number in simplest form will be 1 3/4.
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The expression is,
⇒ 1/4 - (- 1 1/2)
Now,
Since, The expression is,
⇒ 1/4 - (- 1 1/2)
Hence, Solve the expression as;
⇒ 1/4 - (- 1 1/2) = 1/4 + 3/2
= 1/4 + 6/4
= 7/4
= 1 3/4
Thus, The answer as a mixed number in simplest form will be 1 3/4.
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b(t)=1000 times e^.03t how long to reach $1500
Answer:
Below
Step-by-step explanation:
1500 = 1000 e^.03t
1.5 = e^.03t
take LN of both sides
.405465 = .03 t t =13.5 yrs
PLEASE HELP n is m% of what
Answer:
100n/m
Step-by-step explanation:
n = m% of x
n = mx/100
x = 100n/m
What is the slope of the line that passes through the points (2, 3) and (0, 11)? Write
your answer in simplest form.
Answer:
The slope is -4.
Step-by-step explanation:
[tex]m = \frac{11 - 3}{0 - 2} = \frac{8}{ - 2} = - 4[/tex]
Question 2
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an'hour babysitting. What is the solution of the
inequality that determines how many hours she will need to babysit to buy the dress?
Let x represent the number of hours Matilda babysits.
Answer: x ≥ 8
Step-by-step explanation:
We know that our inequality must be greater than or equal to $112 because she needs at least $112 to buy the new dress. This is the first part of our inequality.
Next, we see that she already has $40 and will earn $9 an hour babysitting, if x is the number of hours. $9 an hour can become 9x, then we will add the $40 she already has for 9x + 40 as the second part of our inequality.
This complete inequality is:
9x + 40 ≥ 112
Now, we can solve by isolating the variable x with inverse operations.
9x + 40 ≥ 112
9x ≥ 72
x ≥ 8
Matilda needs to babysit at least 8 hours to afford the new dress.
Change from rectangular to cylindrical coordinates. (Let r ≥ 0 and 0 ≤ θ ≤ 2π.)
(a) (−7, 7, 7)
(√98, 7π /4,7) Incorrect:
(b) (−7, 7 3 , 1)
(14, π /3,1) Incorrect:
The cylindrical coordinates of (−7, 7, 7) are (√98, -π/4, 7). cylindrical coordinate (−7, 7 3 , 1) is (14, -π/3, 1).
We must switch from rectangular to cylindrical coordinates in the provided problem. (let r ≥ 0 and 0 ≤ θ ≤ 2π.)
A)(−7, 7, 7)
Given rectangular coordinates(x, y, z) =(−7, 7, 7)
The cylindrical coordinates are (r, θ, z)
As a result, we determine each value of r and θ separately.
r = √x²+y²
r = √(-7)²+(7)²
r = √49+49
r = √98
θ = tan⁻¹ (y/x)
θ =tan⁻¹ (7/-7)
θ =tan⁻¹ (-1)
θ = -π/4
So cylindrical coordinate = (r, θ, z) = (√98, -π/4, 7)
B) (-7,7√3,1)
Given rectangular coordinates(x, y, z) = (-1,1,1)
The cylindrical coordinates are (r, θ, z)
As a result, we determine each value of r and θ separately.
r = √x²+y²
r = √(-7)²(7√3)²
r = √49+147
r = √196
r = 14
θ = (y/x)
θ = (7√3/-7)
θ = (-√3)
θ = -π/3
So cylindrical coordinate = (r, θ, z) = (14, -π/3, 1)
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