Answers
Explanation
Given that
[tex]\begin{gathered} z=-4.80 \\ x=23.55 \\ \mu=32.67 \end{gathered}[/tex]Using the z-score formula;
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ -4.80=\frac{23.55-32.67}{\sigma} \\ -4.80\sigma=-9.12 \\ \sigma=\frac{-9.12}{-4.80} \\ \sigma=1.9 \end{gathered}[/tex]Answer: 1.9
Related Questions
Use the circle graph below to answer each question. 1. What percent of the Milton's budget is for rent? 2. What percent of the Milton's budget is for clothes? 3. If the Milton's have a $2,000 budget, how much of that budget will go in savings? 4. If the Milton's have a $2,000 budget, how much of that budget will go towards food? 5. If the Milton's have a $2,000 budget, how much of that budget will go towards misc items?
Answers
We are given the Pie chart of Milton's family budget with the following detail:
Food = 33%
Rent = 25%
Savings = 6%
Clothes = 15%
Misc = 21%
1. The percentage of the budget allocated to rent is 25%
2. The percentage of the budget allocated to clothes is 15%
3.
If the budget is $2,000, the amount allocated to Savings is:
[tex]\begin{gathered} Savings=6\text{\%}\times\text{\$}2,000 \\ Savings=\frac{6}{100}\times2,000 \\ Savings=\text{ \$}120 \end{gathered}[/tex]4.
If the budget is $2,000, the amount allocated to food is:
[tex]\begin{gathered} Food=33\text{\%}\times\text{\$}2,000 \\ Food=\frac{33}{100}\times2,000 \\ Food=\text{\$}660 \end{gathered}[/tex]5.
If the budget is $2,000, the amount allocated to Misc is:
[tex]\begin{gathered} Misc=21\text{\%}\times\text{\$}2,000 \\ Misc=\frac{21}{100}\times2,000 \\ Misc=\text{\$}420 \end{gathered}[/tex]which of the following is most likely to represent a fixed rate, secured debit?A- Student loanB- Credit CardC- Loan from a friend D- dealer-finaced auto loan
Answers
D because financing has a fixed rate
a friend's loan has no rate
the credit card varies the rate while you are using it
The student loan has no financing
Parker has tangerines and apricots in a ratio of 12:95. How many apricots does hehave if he has 96 tangerines?On the double number line below, fill in the given values, then use multiplication ordivision to find the missing value.
Answers
We know that if Parker has 12 tangerines he has 95 apricots, so to find how many apricots he has we need to do a rule of tree
[tex]\begin{gathered} x\text{ apricots }\cdot\frac{12\text{ tangerines}}{95\text{ apricots}}=96\text{ tangerines} \\ x\text{ apricots = 96 tangerines }\cdot\frac{95\text{ apricots}}{12\text{ tangerines}} \\ x\text{ apricots =}\frac{96\cdot95}{12}\text{ apricots = }\frac{9120}{12}\text{ apricots} \\ x=760 \end{gathered}[/tex]So the answer is that Parker has 760 apricots is he has 96 tangerines.
The length of an arc of a circle is 5/3 pi feet. Find the measure of the angle that subtends (forms)the arc if the diameter is 18 feet.
Answers
EXPLANATION
We are given the following parameters:
Length of arc= 5/3pi
Diameter = 18 feet
Therefore, radius =18/2 = 9 feets
The formula for the length of the arc is given below.
[tex]\text{length of arc =}\frac{\theta}{360}\times2\pi r^{}[/tex]We will substitute the given parameters into the formula above to get the measure of the angle.
[tex]\begin{gathered} \frac{5}{3}\pi=\frac{\theta}{360}2\pi\times9^{} \\ \frac{5}{3}\pi=\frac{18\theta}{360}\pi \\ crossmultiply\text{ } \\ 3\times18\theta\pi=360\times5\pi \\ 54\theta\pi=1800\pi \\ \text{Divide both sides by 54}\pi \\ \theta=\frac{1800\pi}{54\pi} \\ \theta=33.3^0 \end{gathered}[/tex]Therefore, the measure of the angle is
[tex]\theta=33.3^0[/tex]The scores of Janet in her math tests are 65, 78, 56, 73, 67, 92. Find themedian score of Janet.
Answers
Answer
70
Explanations;
Given the following datasets that represents the scores of Janet in her math tests
65, 78, 56, 73, 67, 92.
The median is the middle value of the dataset after rearrangement. On rearranging in ascending order;
56, 65 (67, 73) 78, 92
Since there are 2 numbers at the middle, hence the median is the mean value of the data
[tex]\begin{gathered} Median=\frac{67+73}{2} \\ Median=\frac{140}{2} \\ Median=70 \end{gathered}[/tex]Hence the median scores is 70
How do I go about solving it. What would the answer be?
Answers
The given sum is
[tex]\sum ^9_{k\mathop=4}(5k+3)[/tex]This means we have to replace k = 4, 5, 6, 7, 8, 9, and then we sum
[tex]\begin{gathered} (5\cdot4+3)+(5\cdot5+3)+(5\cdot6+3)+(5\cdot7+3)+(5\cdot8+3)+(5\cdot9+3) \\ 20+3+25+3+30+3+35+3+40+3+45+3=213 \\ \end{gathered}[/tex]Hence, the sum is equal to 213. The right answer is C.John flew a kite. He started flying the cat at 2:20 p.m. and ended at 3:14 p.m. How many minutes did John fly a kite?A. 47 minutesB. 50 minutesC. 54 minutesD. 55 minutes
Answers
Given data:
The initial time is t=2:20 pm.
The final timme is t'=3:14 pm.
The time during which kite fly is,
[tex]\begin{gathered} T=3\colon14-2\colon20 \\ =54\text{ min} \end{gathered}[/tex]Thus, option (C) is correct.
Convert repeating decimal 0.155….to fraction
Answers
Given the repeating decimal 0.155...
We will convert it to a fraction as follows:
[tex]\begin{gathered} 0.1555.\ldots=0.1+0.055\ldots \\ \\ =\frac{1}{10}+\frac{5}{100-10} \\ \\ =\frac{1}{10}+\frac{5}{90}=\frac{9}{90}+\frac{5}{90}=\frac{14}{90}=\frac{7}{45} \end{gathered}[/tex]so, the answer will be:
[tex]0.1555\ldots=\frac{7}{45}[/tex]I kinda started it but I don’t know how to find the answer
Answers
Solution
[tex]\begin{gathered} x^2+2x-16=0 \\ \\ \text{ using quadratic formula} \\ \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ a=1,b=2,c=-16 \\ \\ \Rightarrow x=\frac{-2\pm\sqrt{2^2-4(1)(-16)}}{2(1)} \\ \\ \Rightarrow x=\frac{-2\pm\sqrt{4+64}}{2} \\ \\ \Rightarrow x=-1-\sqrt{17} \\ \\ \Rightarrow x=-1+\sqrt{17} \\ \\ \text{ since }x>0 \\ \\ \text{ Therefore the value of }x=-1+\sqrt{17} \end{gathered}[/tex]18. What is the multiple zero and multiplicity of f(x) = (x - 1)(x - 1)(x + 7)?multiple zero = 2; multiplicity = 1multiple zero = 2; multiplicity = -1multiple zero = -1; multiplicity = 2multiple zero = 1; multiplicity = 2
Answers
A polynomial written in factorized form is giving us the information we need about the roots or zeros.
In this case, the polynomial is:
[tex]f(x)=(x-1)(x-1)(x+7)=(x-1)^2(x+7)[/tex]In this case, we have two zeros: x=1 and x=-7.
NOTE: a zero "a" will be expressed in a factor (x-a). That is why the zeros are 1 and -7.
As x=1 appears 2 times as a factor, we can group the factor.
x=1 is a zero with multiplicity of 2.
Answer: the multiple zero is x=1 and has a multiplicity of 2.
multiple zero = 1; multiplicity = 2 [Fourth option]
the cost of 9kg of rice is $111.24a)what is the cost of 10kg?b)what is the cost of 10.6kg?
Answers
SOLUTION:
Case: Unit rates
Given: 9kg of rice cost $111.24
First we calculate the cost per kg
Since 9kg cost $111.24
1kg will be:
[tex]\begin{gathered} 1kg\text{ of rice =}\frac{111.24}{9} \\ 1kg\text{ of rice = 12.36} \end{gathered}[/tex]1kg costs $12.36
a) the cost of 10kg
The cost of 10kg will be:
[tex]\begin{gathered} 10kg\text{ of rice will be} \\ =\text{ 10 }\times12.36 \\ =\text{ 123.60} \end{gathered}[/tex]The cost of 10kg of rice is $123.60
b) the cost of 10.6kg
The cost of 10.6kg will be:
[tex]\begin{gathered} 10.6kg\text{ of rice will be} \\ =10.6\text{ }\times12.36 \\ =\text{ 131.0}2 \end{gathered}[/tex]The cost of 10.6kg of rice is $131.02
Final answer:
a) The cost of 10kg of rice is $123.60
b) The cost of 10.6kg of rice is $131.02
10.6 kg cost will be 131.016
the dot is on the secomd line if you cant see it
Answers
The fraction of the hour joey used for practicing the piano can be gotten from the gaps in the number line.
Since there are 3 equal gaps in the number line , this denotes the fraction of the hour that each gap would represent is
[tex]\frac{1}{3}[/tex]This implies that the first point is = 0
This implies that the second point is = 1/3
This implies that the third point is = 2/3
This implies that the fourth point is = 1
In conclusion, the answer is B for the second point.
If x varies directly as y, and x=-30 when y=-6, find x when y=-4.
Answers
Let us now introduce a constant 'k' inorder to get the relationship between x and y,
[tex]\begin{gathered} x\propto ky \\ x=ky \end{gathered}[/tex]Let us substitute x = -30 and y = -6 inorder to get the relationship,
[tex]\begin{gathered} -30=k\times-6 \\ -30=-6k \\ \text{divide both sides by -6} \\ \frac{-30}{-6}=\frac{-6k}{-6} \end{gathered}[/tex][tex]\begin{gathered} k=5 \\ \text{The relationshiop betw}een\text{ x and y is,} \\ x=5y \end{gathered}[/tex]Let us now solve for x when y = -4,
[tex]\begin{gathered} x=5y \\ x=5\times-4 \\ x=-20 \end{gathered}[/tex]Hence, x is -20.
*DUE TODAY* ANSWER ASAP Olivia has read 40 pages of a 70 page book, 60 pages of an 85 page book and 43 of a 65 page book. What is the percentage of pages Olivia has not read? PLEASE GIVE ME A STEP BY STEP EXPLANATION PLEASE!
Answers
STEP2: turn all of the fractions you have just made into percentages ( divide the numerator by the denominator then, times by 100)
STEP 3: add all of the percentages up and put the sum of them all over 300 ( e.g each percentage added up / 300 )
STEP 4: turn that fraction you just made back into a percentage then that should be your answer!!!
If you need any more help just ask me!
A sequence is shown below.10, 12, 14, 16, ...Which function can be used to determine the nthnumber in the sequence?
Answers
Answer:
The nth term of the given sequence can be determined using the function;
[tex]a_n=2n+8[/tex]Explanation:
Given the sequence;
[tex]10,12,14,16,\ldots[/tex]The sequence is an arithmetic progression with a common difference d and first term a;
[tex]\begin{gathered} d=12-10 \\ d=2 \\ a=10 \end{gathered}[/tex]Recall that the nth term of an AP can be calculated using the formula;
[tex]a_n=a+(n-1)d[/tex]substituting the given values;
[tex]\begin{gathered} a_n=a+(n-1)d \\ a_n=10+(n-1)2 \\ a_n=10+2(n-1) \\ a_n=10+2n-2 \\ a_n=2n+10-2 \\ a_n=2n+8 \end{gathered}[/tex]Therefore, the nth term of the given sequence can be determined using the function;
[tex]a_n=2n+8[/tex]Which of the following tables corresponds to the equation below?
Answers
Solution:
Given the equation;
[tex]y=\frac{1}{4}(4^x)[/tex]We would create a table of values such that x ranges from 0 to 5;
[tex]\begin{gathered} x=0; \\ \\ y=\frac{1}{4}(4^0)=\frac{1}{4} \\ \\ (0,\frac{1}{4}) \\ \\ x=1; \\ \\ y=\frac{1}{4}(4^1)=1 \\ \\ (1,1) \\ \\ x=2; \\ \\ y=\frac{1}{4}(4^2)=4 \\ \\ (2,4) \end{gathered}[/tex]Then;
[tex]\begin{gathered} x=3; \\ \\ y=\frac{1}{4}(4^3)=16 \\ \\ (3,16) \\ \\ x=4; \\ \\ y=\frac{1}{4}(4^4)=64 \\ \\ (4,64) \\ \\ x=5; \\ \\ y=\frac{1}{4}(4^5)=256 \\ \\ (5,256) \end{gathered}[/tex]Thus, the correct table is;
Answer:
its D
Step-by-step explanation:
A rectangular prism has volume 10,878 cubic feet, length 7 feet, and height 42 feet. Find its width, in feet.
Answers
Answer: The width is 37 feet
Given data
Volume = 10, 878 cubic feet
Length = 7 feet
Height = 42 feet
width = ?
Let width = w
Volume of the rectangular prism = l x w x h
10, 878 = 7 x 42 x w
10, 878 = 294 x w
10, 878 = 294w
Divide both sides by 294
10, 878 /294 = 294w/294
w = 10, 878 / 294
w = 37 feet
Therefore, the width is 37 feet
Type the correct answer in the box. Use numerals instead of words.The expression x^2 - 12x + 36 factors to (x - )^2
Answers
Explanation: Here we have a factorization problem and the way we solve it depends on the complexity and degree of the equation. We can see our equation is a simple quadratic function so we will use a simple method to solve it.
Step 1: Let's take a look at the illustration bellow
Step 2: As we can see above, we just need to find a way to represent the second term as a sum and the last term as multiplication using the same numbers.
Result: Once we found that this number is -6 so we can represent our factor as
[tex](x-6)^2[/tex]And that is our final answer.
ABC and BCD are identical triangles. The overlapping area is 19cm . Find the area ofthe shaded figure.
Answers
The area of the shaded figure is 45 [tex]cm^{2}[/tex]
It is given that ABC and BCD are identical triangles and the overlapping area is 19[tex]cm^{2}[/tex]
Now, to evaluate the area of the shaded figure, we will calculate the area of the two triangles ABC and BCD, then we will subtract the overlapping area from it.
So, by evaluating the figure, it comes out that the length of the triangle is 4 units and 1 unit is 2cm.
So, Height of the triangle = 4 * 2 cm = 8 cm
And the base of the triangle is 3 units, then,
Base of the triangle = 3* 2 cm = 6 cm
The area of the triangle = 1/2 * base* height
Area of triangle ABC = [tex]\frac{1}{2} *8*6 = 24cm^{2}[/tex]
The area of both the triangles = area(ABC) +area(BCD)
Since two the triangles are identical, their areas are also identical,
So, the Area of both the triangles = 2*area(ABC) = 2*24 = 64[tex]cm^{2}[/tex]
Now, The area of the shaded figure = area(ABC) +area(BCD) - overlapping area.
The area of the shaded figure = 64 - 19 = 45 [tex]cm^{2}[/tex]
To read more about areas, visit https://brainly.com/question/27683633
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please help with this question
Answers
if each u it cube has edge's of length 1/2 foot, what is the volume of the blue-outlined prism
we have that
the volume of each cube is equal to
V=(1/2)^3
V=1/8 ft3
the rectangular prism volume is equal to
calculate the volume by the numbers of cube
so
V=(5)(2)(2)=20 cubes
Multiply by the volume of each cube
20*(1/8)=2.5 ft3
the volume of the rectangular prism is 2.5 ft3
y=2/3 × + 4. use this equation to find y for the following values of x. x=0
Answers
a) for x = 0
y = (2/3) x 0 + 4
y = 0 + 4
y = 4
b) x = 3
y = (2/3) x 3 + 4
y = 6/3 + 4
y = 2 + 4
y = 6
c) x = 9
y = (2/3) x 9 + 4
y = 18/3 + 4
y = 6 + 4
y = 10
d) x = -9
y = (2/3) x (-9) + 4
y = -18/3 + 4
y = - 6 + 4
y = -2
e) x = 10
y = (2/3) x 10 + 4
y = 20/3 + 4
y = 32/3
f) x = 1/2
[tex]\begin{gathered} y\text{ = }\frac{2}{3}\text{ x }\frac{1}{2}\text{ + 4} \\ y\text{ = }\frac{1}{3}\text{ + 4} \\ y\text{ = }\frac{1\text{ + 12}}{3} \\ y\text{ = }\frac{13}{3} \end{gathered}[/tex]Find the equation of the line that contains the points (2,4) and (8,9). Write the equation in the form y=mx+b and identify m and b.m=b=
Answers
Find the equation of the line that contains the points (2,4) and (8,9). Write the equation in the form y=mx+b and identify m and b.
step 1
Find the slope
m=(9-4)/(8-2)
m=5/6step 2
Find the equation in slope-intercept form
y=mx+b
we have
m=5/6
point (2,4)
substitute and solve for b
4=(5/6)(2)+b
4=(5/3)+b
b=4-5/3
b=7/3therefore
y=(5/6)x+7/33 view. writing simplity expressions The volume of a cube is calculated by multiplying all three side lengths. If a cube has a side of 16 cm, which expression can be used to calculate the volume? A. 161 B. 167 C. 162 D. 164 에 2y Click to add speaker notes
Answers
If we have a cube with a side length of 16 cm, we can calculate the volume as the length side powered to the 3rd or multiplying the side length 3 times:
[tex]V=l\cdot l\cdot l=l^3=16^3[/tex]Answer: V = 16^3 (Option C).
The circumference of a circle is 56.52 what is the diameter
Answers
SOLUTION
We have been given the circumfeence of the circle as 56.52 and we are told to find the diameter
Circumference of a circle C is found as
[tex]\begin{gathered} C\text{ }=\pi d \\ \text{Where }\pi\text{ = 3.14 and d is the diameter. So from } \\ C\text{ }=\pi d \\ 56.52\text{ }=3.14d \\ d\text{ = }\frac{56.52}{3.14} \\ \\ d\text{ = 18} \end{gathered}[/tex]Therefore, the diameter is 18
6y-(2y-5)=29 step by step
Answers
The given expression is
[tex]6y-(2y-5)=29[/tex]First, we use the distributive property to solve the parenthesis, we have to multiply the negative sign with each term inside the parenthesis.
[tex]6y-2y+5=29[/tex]We reduce like terms, 6y and -2y are like terms in this case,
[tex]4y+5=29[/tex]Then, we subtract 5 on each side.
[tex]\begin{gathered} 4y+5-5=29-5 \\ 4y=24 \end{gathered}[/tex]At last, we divide the equation by 4.
[tex]\begin{gathered} \frac{4y}{4}=\frac{24}{4} \\ y=6 \end{gathered}[/tex]Therefore, the solution is 6.18 18 After bisecting the original angle, there are two angles that each measure 18°. Which statement is true? A) The original angle of 2° was bisected into two congruent angles. B) The original angle of 9° was bisected into two congruent angles. Eliminate The original angle of 36° was bisected into two congruent angles. D) The original angle of 72° was bisected into two congruent angles.
Answers
After bisecting the original angle, there are two angles that each measure 18°. Which statement is true? A) The original angle of 2° was bisected into two congruent angles. B) The original angle of 9° was bisected into two congruent angles. Eliminate The original angle of 36° was bisected into two congruent angles. D) The original angle of 72° was bisected into two congruent angles.
we know that
when bisecting an angle, the angle is divided into two equal parts
so
The original measure of the angle is
18(2)=36 degrees
therefore
The statement that is true is
The original angle of 36° was bisected into two congruent anglesClick an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan. Click the trashcan to clear all your answers.Indicate in standard form the equation of the line through the given points.K(6,4), L(-6,4)
Answers
The equation between two points is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]Plugging the values of the points given we have:
[tex]\begin{gathered} y-4=\frac{4-4}{-6-6}(x-6) \\ y-4=\frac{0}{-12}(x-6) \\ y-4=0(x-6) \\ y-4=0 \\ y=4 \end{gathered}[/tex]Therefore the equation in standar form is:
[tex]y=4[/tex]For points K (-6,6) and P (-3,-2), find the following:m:| m:I m:Distance:Equation of a line 1:
Answers
From the question
We are given the points
[tex]K(-6,6),P(-3,-2)[/tex]Finding the slopre, m
Slope is calculated using
[tex]m=\frac{y_{2_{}}-y_1}{x_2-x_1}[/tex]From the given points
[tex]\begin{gathered} x_1=-6,y_1=6 \\ x_2=-3,y_2=-2 \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} m=\frac{-2-6}{-3-(-6)} \\ m=\frac{-8}{-3+6} \\ m=\frac{-8}{3} \end{gathered}[/tex]Therefore, m = -8/3
The next thing is to find
[tex]\mleft\Vert m\mright?[/tex]A slope parallel to m
For parallel lines, slopes are equal
Therefore,
[tex]\mleft\Vert m=-\frac{8}{3}\mright?[/tex]Next, we are to find
[tex]\perp m[/tex]A slope perpendicular to m
For perpendicular lines, the product of the slopes = -1
Therefore
[tex]\perp m=-\frac{1}{m}[/tex]Hence,
[tex]\begin{gathered} \perp m=-\frac{1}{-\frac{8}{3}} \\ \perp m=\frac{3}{8} \end{gathered}[/tex]Therefore,
[tex]\perp m=\frac{3}{8}[/tex]Next, we are to find the distance KP
Using the formula
[tex]KP=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]This gives
[tex]\begin{gathered} KP=\sqrt[]{(-3-(-6))^2+(-2-6)^2} \\ KP=\sqrt[]{3^2+(-8)^2} \\ KP=\sqrt[]{9+64} \\ KP=\sqrt[]{73} \end{gathered}[/tex]Therefore,
[tex]\text{Distance }=\sqrt[]{73}[/tex]Next, equation of the line
The equation can be calculated using
[tex]\frac{y-y_1}{x-x_1}=m[/tex]By inserting values we have
[tex]\begin{gathered} \frac{y-6}{x-(-6)}=-\frac{8}{3} \\ \frac{y-6}{x+6}=-\frac{8}{3} \\ y-6=\frac{-8}{3}(x+6) \\ y-6=-\frac{8}{3}x-6(\frac{8}{3}) \\ y-6=-\frac{8}{3}x-16 \\ y=-\frac{8}{3}x-16+6 \\ y=-\frac{8}{3}x-10 \end{gathered}[/tex]Therefore the equation is
[tex]y=-\frac{8}{3}x-10[/tex]A patient takes three 25 mg capsules a day. How many milligrams is he taking daily?
Answers
Given:
A patient takes three 25 mg capsules a day.
[tex]3\times25\text{ mg=75mg}[/tex]Answer: A patient is taking 75 mg capsules every day.
-8, {0, -3, 1, -1}, {-1, 1, -2}, {3, -5, 4, -1}, {4, -2, 2}
Answers
Solution
17. -8
18. 0, -3 ,1 , -1
19. -1 ,1 ,-2
20. 3, -5 ,4 ,-1
21. 4, -2. 2