Answer:
[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]
Step-by-step explanation:
[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]
The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
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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Irwin has flowering plants in 15% of his garden. Which of the following is equivalent to 15%?
Answer: Im not sure
Step-by-step explanation:
You didnt list the options therefore i cant answer this for you. :I
Including a 5% sales tax, an inn charges $189 per night. Find the inn's nightly cost before the tax is added.
The inn's nightly cost before tax is added is
Answer:
180
Step-by-step explanation:
Nightly cost = x
x × 5% = Sales Tax
Total Cost : Percentage
189 : 105%
x : 100%
Cross multiply:
189 × 100% = 105% × x
189 = 1.05x
189 ÷ 1.05 = x
x = 180
The ratio of girls to boys in a a gardening club was 6:2 there were 16 boy how many are girls
Answer:
I don't know
Step-by-step explanation:
tdhdujdjbd
9+10=?????????? PLease tell Me!
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
9+10=19.
Add 9 to 10.
It's 19.
Man, that's so hard!
Even I had to use a calculator.
Mike bought yards of ribbon. Jim bought four times the amount of ribbon that Mike bought. How many yards of ribbon did Jim buy?
Answer:
four times the amount of mike
Step-by-step explanation:
What is the difference between quantitative data and qualitative data? in what situations could the number 42 be considered qualitative data? what are the characteristics of a relational database?
The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
Qualitative data describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire. Qualitative data may be difficult to precisely measure and analyze. The data may be in the form of descriptive words that can be examined for patterns or meaning, sometimes through the use of coding. Coding allows the researcher to categorize qualitative data to identify themes that correspond with the research questions and to perform quantitative analysis.
Quantitative data is numbers-based, countable, or measurable. Quantitative data is numeric, the result of a measurement, count, or some other mathematical calculation. Qualitative data is descriptive. The number 42 could be qualitative if it is a designation instead of a measurement, count, or calculation.
The seven characteristics that define relational database are:
Accuracy and Precision
Legitimacy and Validity
Reliability and Consistency
Timeliness and Relevance
Completeness and Comprehensiveness
Availability and Accessibility
Granularity and Uniqueness
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simplify: 12.9 - 2.8 - 7.2 + 9.1
A. 17.6
B. -6.2
C. 26.4
D. 12
Step by step answer pls
Answer:
D
Step-by-step explanation:
the simplification of 12.9 - 2.8 - 7.2 + 9.1 is 12
Calculate the length of ac to 1 decimal place below
Answer:
18.11
Step-by-step explanation:
Look at the file I attached
I marked a new point E for explanation purposes.
to find out the length of AC, we need to find out the length of CD and the length of CD = length of BE.
To find out the length of BE, we need to know AE, and
AE is AD - BC
AE = 11 - 4
AE = 7
Now we have AE
Use the Pythagoras theorem to calculate BE
AE² + BE² = AB²
7² + BE² = 16²
16² - 7² = BE²
207 = BE²
√207 = BE
Since BE = CD
The length of CD is √207
Now use the Pythagoras theorem again
AD² + CD² = AC²
11² + (√207)² = AC²
121 + 207 = AC²
328 = AC²
√328 = AC
AC = 18.11
Put the following equation in slope intercept form, simplifying all fractions. 12x+8y=-24
The slope intercept form of the equation 12x ₊ 8y = ₋24 is
y = ₋3/2 x ₋ 3
Given the equation is 12x ₊ 8y = ₋24
we are asked to convert the given equation into slope intercept form.
Finding a line's equation requires using the slope-intercept form of a straight line. We must know both the line's slope and the point at which the line crosses the y-axis in order to use the slope-intercept formula.
12x ₊ 8y = ₋24
⇒ 12x ₊ 8y ₊ 24 = 0
we re-arrange the equation of the line to write it in the standard form
y = mx + b.
12x ₊ 8y = ₋24
8y = ₋12x ₋ 24
now divide the terms on the right side by 8.
y = ₋12x/8 ₋ 24/8
y = ₋3/2x ₋ 3
hence we get the slope intercept form as y = ₋3/2x ₋ 3, where m=s₋3/2 and b = ₋3
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Answer:
I don't know to be honest
Step-by-step explanation:
that's great
below is a sequence of numbers:
0.5, 3, 5.5, 8, …
Calculate:
(a) the 8th term,
Answer: ______________
(b) the 100th term,
Answer: ______________
(c) which term has a value of 148.
Answer:
a) 18
b)248
c) 58
Step-by-step explanation:
The formula is:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n-1)d
[tex]a_{n}[/tex] Is the number at the n term
[tex]a_{1}[/tex] Is the first number in the sequence
n Is the number for the term
d is the common difference. How much is added each time in the sequence. In this case, 2.5
Put in the numbers that you know and solve for the unknown.
A:
[tex]a_{8}[/tex] = 0.5 + (8 -1)(2.5)
[tex]a_{8}[/tex] = 0.5 +(7)(2.5)
[tex]a_{8}[/tex] = 0.5 + 17.5
[tex]a_{8}[/tex] = 18
B:
We follow the same pattern, but we are now looking for [tex]a_{100}[/tex].
[tex]a_{100}[/tex] = 0.5 + (100-1)(2.5)
[tex]a_{100}[/tex] = 0.5 + 247.5
[tex]a_{100}[/tex] = 248
C:
This time we know the value of the number in the sequence, we do not know which term it is.
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d Put in what we know
148 = 0.5 + (n -1)2.5 Distribute the 2.5
148 = 0.5 + 2.5n - 2.5 Combine like terms
148 = 3 + 2.5n Subtract 3 from both sides of the equation
145 = 2.5n Divide both sides by 2.5
58 = n
Barbara has x dollars to spend. Joe has 2x + 3
dollars to spend. Which of these expressions
represents the total amount of money Barbara and
Joe have to spend?
Answer: A
Step-by-step explanation: A because you have to find the total amount of money so you a X
i think/ hope
Find the equation of the line.
Use exact numbers.
y=
#+
What is an explicit formula for the sequence 0,3,8,15,24,...? What is the 20th term?
Answer:
the most logical answer is
n^2-1
20th term is then 399
Step-by-step explanation:
The rule behind the sequence could be anything, but it is very likely that we're supposed to notice that the terms are all squares minus 1
0 = 1*1 - 1
3 = 2*2 - 1
8 = 3*3 - 1
15 = 4*4 - 1
24 = 5*5 - 1
So we expect that the explicit formula is n^2-1 and the 20th term is 399
Suppose the graph of y=x^2 is shifted left 6 units. Complete the modified equation: y=
Please help me
The modified equation is expressed as g(x) = x^2 - 6
Translation of coordinateTranslation is the process of changing the position on an x-plane.
Given the function of a graph expressed as y=x^2
If the function is shifted 6 units to the left, hence the resulting function is given as;
g(x) = x^2 - 6
Hence the modified equation is expressed as g(x) = x^2 - 6
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Let x1, x2, x3 be three independent random variables with binomial distributions b(4,1/2), b(6,1/3), and b(12,1/6), respectively. find (a) p(x1 = 2,x2 = 2,x3 = 5).
0.00345 is the value of p(x).
What means binomial distribution?
When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The likelihood of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.P(x₁= 2 , x₂ = 2 , x₃ = 5 )
p( x₁= 2) . p( x₂ = 2) . p( x₃ = 5) .........( as these are independent variable)
[c⁴₂ ( 0.5 )² ( 0.5 )² ] [ c⁶₂ ( 1/3)²(2/3)⁴ ] [ c¹²₅ (1/6)⁵ (5/6)⁷
= 0.375 × 0. 329 × 0.028
= 0.00345
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Solve #5, which algebraic proof is it
If angle 1 = 30° and angle 1 and angle 2 are equal, then angle 2 = 30°. This illustrates vertically opposite angles.
What are vertically opposite angles?When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
A pair of angles that are vertically opposed to one another are always equal. When two lines join to form an angle, say X=45°, the opposite angle is also 45°, for instance.
In this case, the angles are vertically opposite angles.
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y = RootIndex 3 StartRoot x EndRoot. y = negative (0.4) RootIndex 3 StartRoot x minus 2 EndRoot
Reflected over the x-axis , Compressed by a factor of 0.4. , Translated 2 units left.
What is Reflected over the x-axis?
Point (x, y) is reflected across the x-axis as (x, -y). The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.
[tex]y = \sqrt[3]{x}[/tex]
[tex]y' = - 0.4\sqrt[3]{x - 2}[/tex]
Required
The transformation from y to y'
First, y is reflected over the x-axis.
The transformation rule is
(x, y) → ( x, -y)
So, we have
y = ∛x becomes
y' = - ∛x
Next, it was compressed by a scale factor of 0.4
The rule is
y' = k * y
Where k is the scale factor (i.e. k = 0.4)
So, we have
y' = 0.4 * -∛x
y' = - (0.4)∛x
Lastly, the function is translated 2 units left;
The rule is
(x, y) → ( x - 2 ,y)
So, we have
[tex]y' = ( 0 .4)\sqrt[3]{x - 2}[/tex]
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15% of $9 is what amount of dollars>
3y+4x=9
I have to find the literal solution
Answer:
Step-by-step explanation:
3−4x/3 this is for x
y = -4/3x + 3 this is for why I’m not sure which one your trying to solve for
what is 2 over 3 divide 1 over 4
Answer: 2 2/3
Step-by-step explanation:
2/3 x 4/1 multiply the numerators together and the denominators together
2 time 4/ 3 times 1= 8over 3
then simplfy it
so your answer will be 2 and 2/3
Brittney is 4 years older than Dakota. The variable b stands for Brittney's age. Which expression stands for Dakota's age?
A. 4b
B. 4 - b
C. b + 4
D. b - 4
-12y^3 (2xy) Fully simplify
Expand and simplify
(x + 1)(x + 2)(x + 3)
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1. A block of aluminum occupies a volume of 22.0 mL and weighs
66.8 g. What is its density?
Answer:
3.04 g/mL
Step-by-step explanation:
density = mass/volume
density = 66.8 g / 22.0 mL
density = 3.04 g/mL
Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and
tangerine trees there. According to the survey, the field is 32 feet long and 6 yards wide. What is the perimeter
of the yard in feet?
Continuation of Qn on part ii)
Answer:
Step-by-step explanation:
A bed has a sale price of £257.40
This is a saving of 22% on the original price.
What was the original price of the bed?
The original price of the bed was £330.
Calculating priceFrom the question, we are to determine the original price of the bed.
Let the original price of the bed be x
From the given information,
The current sale price of the bed is £257.40, and this price is a saving of 22% on the original price
Then,
We can write that
x - 22% of x = £257.40
Thus,
x - 0.22x = £257.40
0.78x = £257.40
x = £257.40/0.78
x = £330
Hence, the original price of the bed was £330.
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Answer:330
Step-by-step explanation:
easy way to do this:
1. ok so you know 100%=x and 100-22=73 so that means that 73%=2570.40
2. so write them with the known above the unknown: 100%=x
78%=2457.40
3. no cross multiply like this [tex]\frac{100X257.40}{78}[/tex] imagine the multiplication sign is the X here( the app didn't let me change that?)
4. the solution equals 330 which the answer
5. YOU DID IT!!
A box of 8 crayons costs $0.96. How much does each crayon cost? At the unit price, how much would a box of 30 crayons cost.
Answer:
the price of 30 crayons is 3.6$.
Step-by-step explanation:
Given that
price of 8 crayons is 0.96$
so the price of 1 crayon is
0.96÷8=0.12$
now we have to find the cost of 30
crayons
we know that price of 1 crayon is 0.12$
so the price of 30 crayons is
0.12$×30= 3.6$.
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Answer:Given the cost of a box of 8 crayons, the cost of each crayon is 0.12. a box containing 30 cryaons will cost 3.6
Step-by-step explanation: Given that ,
box of 8 crayons cost=0.96 cost of each crayon=? cost of each 30 crayon box=? first, we determine the cost of abox with 30 crayons . 8 crayons cost 0.96. 1crayon cost x. x=0.96÷8=0.12 Next we determine the cost of abox with 30 crayons . 1 cryaon cost 0.12 30 crayons cost y y=30×0.12 y=3.6