The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, [tex]\mu[/tex] = 48 monthsStandard deviation, [tex]\sigma[/tex] = 8 monthsThe z-score is then computed as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
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Please help will give brainiest if right
Answer:
Equation: 2x + x + 72 = 180m∠1 = 72°m∠2 = 108°Step-by-step explanation:
The angles lie on a straight line summing to total 180 degrees.
Form an equation:
m∠1 + m∠2 = 180
2x + x + 72 = 180
and solve:
3x + 72 = 180
3x = 180 - 72
3x = 108
x = 36
Find m∠1: 2(x) = 2(36) = 72°Find m∠2: x + 72 = 36 + 72 = 108°Answer:
see below
Step-by-step explanation:
We are here given a straight line which is splitted into two parts by a line , such that it makes two angles.
Also we know that the angle measure of a straight line is 180° . Therefore; here the sum of angles 1 and 2 will be 180° .
So that,
==> angle 1 + angle 2 = 180°
==> 2x + x + 72° = 180°
==> 3x = 180° - 72°
==> 3x = 108°
==> x = 108°/3
==> x = 36° .
The equation which we used to solve the problem is ,
==> Equation = 2x + x + 72° = 180°
For finding the individual angels substitute the value of x into their expressions , as ;
==> angle 1 = 2x = 2(36°) = 72°
==> angle 3 = x + 72° = 36° + 72° = 108° .
And we are done!
Rewrite in the distributive property, please?
-3(5x-10)
Answer: -15x+30
Step-by-step explanation:
-3(5x-10)=
-3*5x-10(-3)=
-15x-(-30)=-15x+30
Answer:
-15x-30
Step-by-step explanation:
Just multiply -3 by 5 in 5x and get -15 and then put x back with -15. thhen multiply -3 by 10 and get -30
can someone help, fasttt!
Answer:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Step-by-step explanation:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
[tex]\sqrt[3]{x} = 3[/tex]
Answer:
x = 27
Step-by-step explanation:
You need to cube each side.
[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]
x = 27
why might a dot plot not be the best choice for graphing
Answer:
Dot plots are hard to construct when dealing with larger, more precise data sets. This makes it difficult to read multiple data points, and it gets very confusing after a while. Therefore, it would not be a good choice for graphing due to its inaccuracy.
Answer:
Dot plot aren't too good for large sets of datas. If you also got many data that are close together, the more you got the harder it will be might to read the data that your doing
A 1.0 l buffer solution is 0.15 m in hcn and 0.10 m in nacn. which action will destroy the buffer?
The buffer will probably be destroyed by the addition of HCN.
What is buffer solution?A weak acid and the conjugate base of the weak acid, or a weak base and the conjugate acid of the weak base, are combined to form the buffer solution, a water-based solvent solution. They withstand being diluted or having modest amounts of acid or alkali added to them without changing their pH.
Given that a 1.0 l buffer solution is 0.15 m in HCN and 0.10 m in NaCN.
We need to find a action which one destroy the buffer solution.
A buffer is a substance made of salt and a weak acid that is beneficial. From the aforementioned chemicals, HCN is a potent acid and NaCN is a salt between HF and NaCN. Therefore, the buffer will probably be destroyed by the addition of HCN.
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Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $157,581, what were the sales (in $) last month?
Answer:
173, 339.10
Step-by-step explanation:
Move the decimal from 157,581.00 to the left to give you 10% of 15,758.10.
Add 15,758.10 to 157,581.00 to give you the total from last month.
Or, convert 10% to a decimal.
157,781 x 0.10 = 15,758.10
15,758.10 + 157,581 = 173,339.10
The answer to 5√12 × √7, given in its simplest form, is t√√u, where t and u are integers.
Calculate the values of t and u.
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form: 10√21 where t = 10 and u =21
twice a number increased by three is between negative three and seven
The number can be -3, -2, -1, 0 ,1
Here, we are given that twice a number is increased by three and the result is between negative three and seven.
Let the number be x
Twice of the number = 2x
Four more than twice the number = 2x + 4
This number is between -3, 7
⇒ -3 < 2x +4 < 7
subtracting 4 from both sides we get
-3 -4 < 2x < 7 - 4
-7 < 2x < 3
Dividing both sides by 2 we get
-7/2 < x < 3/2
- 3.5 < x < 1.5
Thus the original number lies between -3.5 and 1.5
This means that it can take 5 values-
-3, -2, -1, 0 ,1
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There is a step missing from the equation below. Which equation is the missing step
Answer: 25=0.011x+13
A = {-1, 0, 1,...}
What numbers are shown
in set A?
A. Whole numbers
B. Counting numbers
C. Integers
Answer:
C. integers
Step-by-step explanation:
integers are similar to whole numbers : all numbers without any fractional part, but including negative numbers.
whole numbers only include positive numbers (incl. 0) without any fractional part.
natural numbers (I guess, that is the meaning of "counting numbers") are all positive numbers (but without 0) without any fractional part.
so, C is correct, because A contains also -1.
Answer:
B
Step-by-step explanation:
it cat be a whole number because whole number are set of positive number from 0 and above excluding fraction , negative integer or decimal.
integers include both positive and negative numbers excluding fraction and decimal
Let , which represents the set of points on and inside an in the xy-plane. find two specific examples two vectors, and a vector and a scalar to show that h is not a subspace of .
The two vectors and a vector and a scalar which shows that H is not a subspace of [tex]R^2[/tex] are [tex]\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}[/tex] , [tex]\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}[/tex] and [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] and 6.
Given the set, [tex]H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}[/tex] which represents the set of points on and inside an ellipse in the xy-plane.
We have to show that H is not a subspace.
We can show that this set is not closed under vector addition of two vectors by finding those vectors.
[tex]\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right][/tex] and [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right][/tex] are two vectors in H, since it satisfies the given condition, [tex]8x^2+5y^2\leq 1[/tex].
i.e., [tex]8\times(\frac{1}{5})^2 + 5\times (\frac{1}{4})^2 = 0.6325\leq 1[/tex] and [tex]8\times(\frac{1}{6})^2 + 5\times (\frac{1}{7})^2 = 0.3242\leq 1[/tex]
[tex]\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right][/tex] + [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right][/tex] = [tex]\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right][/tex]
But [tex]8\times(\frac{11}{30})^2 + 5\times (\frac{11}{28})^2 =1.847 \geq 1[/tex]
So the vector [tex]\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right][/tex] does not belongs to H.
So It is not closed under addition.
Now we will prove that H is not closed under scalar multiplication of a vector and a scalar either.
[tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] is a vector in H. But [tex]6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] does not belongs to H, where 6 is a scalar.
This is because [tex]6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] = [tex]\left[\begin{array}{c}1 \\2 \end{array}\right][/tex] and [tex]8\times1^2 + 5\times 2^2 =28 \geq 1[/tex].
So the two vectors are [tex]\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}[/tex] and [tex]\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}[/tex] and one vector and a scalar are [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] and 6.
The question is incomplete. Find the complete question below:
Let [tex]H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}[/tex], which represents the set of points on and inside an in the xy-plane. Find two specific examples two vectors, and a vector and a scalar to show that H is not a subspace of [tex]R^2[/tex].
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Please help me for scale factors
Answer:
91/7=13
so x=11×13
x=143
I need help asap pls
The results of the equations are listed below:
T' = 20 °C A ≈ 113.097 m² A = 100 ft² s = 312.5 mi C' = $ 120 C' = $ 40 s = 27.5 mi T' = 100 °C C' = $ 60 A = 112 ft²How to use equations to find required information?
In this problem we must make use of given formulas and substitute all known variables to determine all the required information:
Case 1
The temperature in Celsius scale in terms of the temperature in Fahrenheit scale is defined by the following formula:
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (68 - 32)
T' = 20 °C
Case 2
The area of the circle in terms of its radius is presented below:
A = π · r²
A = π · (6 m)²
A ≈ 113.097 m²
Case 3
The area of the triangle as a function of its base and its height is shown in the following formula:
A = 0.5 · b · h
A = 0.5 · (8 ft) · (25 ft)
A = 100 ft²
Case 4
The traveled distance is the product of the velocity and time:
s = v · t
s = (62.5 mi / h) · (5 h)
s = 312.5 mi
Case 5
The simple interest formula is equal to the product of the invested amount, interest rate and time divided by 100:
C' = (C · r · t) / 100
C' = [(300) · (5) · (8)] / 100
C' = $ 120
Case 6
C' = (C · r · t) / 100
C' = [(200) · (2) · (10)] / 100
C' = $ 40
Case 7
s = v · t
s = (45 mi / h) · (0.5 h)
s = 27.5 mi
Case 8
T' = (5 / 9) · (T - 32)
T' = (5 / 9) · (212 - 32)
T' = 100 °C
Case 9
C' = (C · r · t) / 100
C' = [(1200) · (2.5) · (2)] / 100
C' = $ 60
Case 10
The area of the rectangle is equal to the product of its base and its height:
A = b · h
A = (14 ft) · (8 ft)
A = 112 ft²
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65 POINTS!!!
Given g(x) = −4x + 4, identify the domain, range, and x-intercept of the function.
A)Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (1, 0)
B)Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−1, 0)
C)Domain: −4 < x < 4; Range: − 4 < y < ∞; x-intercept (1, 0)
D)Domain: −4 < x < 4; Range: −∞ < y < 4; x-intercept (−1, 0)
The domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
How to identify the domain, range, and x-intercept of the function?The equation of the function is given as
g(x) = 4x + 4
The function g(x) is a linear function.
There is no restriction on the input values and output values of a linear function
This means that the domain and the range of a linear function are the set of all real numbers
Set g(x) to 0, to determine the x-intercept
So, we have
4x + 4 = 0
Divide through by 1
So, we have
x + 1 = 0
Evaluate the like terms
x = -1
Hence, the domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
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Answer: Your answer is B darling.
Step-by-step explanation:
A poll was taken in a town with a population of 15,000. The poll asked for an opinion of the city council's performance for the past year. The number of
people who thought that the council had done well was 9,500. What percent of the population voted favorably? (Round to the nearest tenth if necessary)
So the percentage would be 9500/15000 = 63.333333333... = 63.3...%
The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as?
The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
What is inferential statistics?Statistical inference is the method of using data analysis to infer characteristics of a probability distribution. Inferential statistical analysis deduces population properties, for example, by testing hypotheses and generating estimates. The observed data set is assumed to be a sample from a larger population. Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.Descriptive statistics is only concerned with the properties of the observed data and does not assume that the data come from a larger population. Inferential statistics differ from descriptive statistics.Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
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What is 166.44 dived by 4. PLEASE USE LONG DIVISION. The person who USES LONG DIVISION TO GET THE ANSWER GETS 10 points and brainiest.
Answer:
41.61
Step-by-step explanation:
Just divide.
[tex]\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}[/tex]
Answer: We have the equation:
166.44 ÷ 4 = 41.610
Calculated to 3 decimal places.
0 4 1. 6 1 0
4 1 6 6. 4 4 0
− 0
1 6
− 1 6
0 6
− 4
2 4
− 2 4
0 4
− 4
0 0
− 0
0
Step-by-step explanation: hope this helps
simplify. -2(7-n) +4
Answer:
-2(7+2n) +4 = 5
step by step explantation:
-2(7-n) +4
-2×7 =-14
-2x-n = 2n
14+2n = 4
2n = 14 - 4
2n/ 2= 10/2
n= 5
Scatter plots are used to visualize association in samples of paired data (x, y). group starts
a. true
b. false
three quarters of the 84 crayons are broken. How many crayons are broken?
Answer:
63 crayons are broken
Step-by-step explanation:
84 ÷ 4 = 21
21 x 3 = 63
can be checked by 84 - 63 = 21
Ricky has some cookies. he ate 1/8 of his cookies and an additional 14 cookies on friday. he then ate 3/10 of the remaining cookies and an additional 24 cookies on saturday. he ate 40 cookies on sunday and had 34 cookies left. how many cookies did ricky have at first?
Ricky had 176 cookies initially
Let Ricky has x number of cookies
Cookies left after he ate 1/8 of his cookies and additional 14 cookies:
x - (1/8x + 14)
Cookies left after he ate 3/10 of the remaining cookies and an additional 24 cookies on Saturday:
x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24)
Cookies left after he ate 40 more cookies on Sunday
x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24) - 40 ------(1)
Cookies left with him at the end = 34
Therefore, equating equation (1) with 34
(7/10)((7x/8) - 14) - 64 = 34
x = 176
Thus Ricky had 176 cookies intially
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express
the speed
10m
per second as
km per hour
10 m/s can be expressed as 36km/h.
Here, we are given an expression for speed, that is: 10 meter per second.
Now, as per the rules of mathematics,
1 kilometer = 1000 meters
⇒ 1 meter = 1/1000 kilometers
or 1 meter = 0.001 kilometers
and also, 1 hour = 60 mins
and 1 min = 60 seconds
⇒ 60 mins = 60 × 60 seconds
= 3600 seconds
Thus, 1 hour = 60 mins = 3600 seconds
⇒ 1 second = 1/3600 hours
Now, we need to convert meter per second into kilometer per hour,
1 meter/ 1 second = [tex]\frac{0.001}{\frac{1}{3600} }[/tex]
= (0.001 × 3600)/ 1
= 3.6
This 1 meter per second = 3.6 kilometer per hour
⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour
Thus, 10 m/s is 36km/h.
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solve the similtaneous equations
y=9-x
y=2x^2+4x+6
The solution of the given equation are (1/2 , 17/2) and (-3 , 12)
The two equation that we have been given are :
y = 9 – x (1)
y = 2x² + 4x + 6 (2)
We will solve this simultaneously, from equation (1) we will equate the value of y in equation (2) we get
9 – x = 2x² + 4x + 6
3 = 2x² + 5x
2x² + 5x – 3 = 0
Now to find the factors of the value x we will use quadratic formula.
x = (-b±√b² – 4ac)/2a
x = [ -5 ± √25 + 24 ]/4
x = [ -5 ± 7 ]/4
x = (-5 + 7)/4 and x = (-5 – 7)/4
x = 1/2 and x= -3
putting the required value of x in equation (1) we get
y = 9 – 1/2 and y = 9 – (-3)
y = 17/2 and y = 12
Hence the solution of the equation is (1/2 , 17/2) and (-3 , 12)
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Do you guys know how to find a square root or cube root without a calculator? I need a explanation and a example.
Answer:
square of the following
2×2=4
3×3=9
4×4=16
2×2×2=8
now
square root
√4
√2×2
=2 answer likewise other
again
cube root
√8
=√2×2×2
=2 through that you can find these
at first you should know square and cube of different numbers from 1 to 20 is the required you should know then you can easily find out answer
Factor:
3t³-21t²-12t
Answer:
3t (t²-7t-4t)
Step-by-step explanation:
The highest common factor was 3t
The absolute value function is a -------- linear function.
piecewise
different
complete
negative
Opositive
Answer:
Piecewise
Step-by-step explanation:
It is basically made up of 2 linear functions
A smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi. how much fruit will be in the smoothie?
The amount of fruit in the smoothie will be 3/2 .
It is given in the question that a smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi.
We have to find the amount of fruit in the smoothie.
We know that,
Amount of fruit in the smoothie = Amount of peach in the smoothie + Amount of banana in the smoothie + Amount of kiwi in the smoothie
Hence,
Amount of fruit in the smoothie = 4/6 + 1/2 + 2/6
Adding all the fractions, we get,
4/6 + 3/6 + 2/6 = 9/6 = 3/2
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The formula for simple interest is I=Prt.
a. Solve the formula for t.
t= ___
b. Use the new formula to find the value of t in the table.
The value of t in the table is____years.
a. The formula solved for t is t = I/Pr
b. The value of t in the table is 3 years
Simple InterestFrom the question, we are to solve for t in the given formula
The given formula is the formula for simple interest
I = Prt
To solve for t, we will divide both sides of the equation by Pr
That is,
I/Pr = Prt/Pr
I/Pr = t
∴ t = I/Pr
The formula solved for t is t = I/Pr
b. We are to find the value of t when
I = $75
P = $500
r = 5% = 0.05
From
t = I/Pr
t = 75/(500×0.05)
t = 75/25
t = 3 years
Hence, the value of t in the table is 3 years
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order these following rational numbers from greatest to least:
25% -0.17 3/5 -1/12 12
Answer:
12, 3/5, 25%, -1/12, -0.17
Step-by-step explanation:
The simplest way to do this is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.
25% is already a percentage
-0.17 = -17%
3/5 = 60%
-1/12 (you can use a calculator to divide and find the percentage here) = -8.33
12 = 1200%
Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):
12, 3/5, 25%, -1/12, -0.17
FINAL ANSWER: 12, 3/5, 25%, -1/12, -0.17