Answer:
15.31
Step-by-step explanation:
The expected value, E(X) is given by :
E(X) = Σx*p(x)
From the table above :
E(X) = (13 * 0.01) + (14 * 0.27) + (15 * 0.30) + (16 * 0.25) + (17 * 0.16) + (18 * 0.01)
E(X) = 15.31
Substituting the equation x = 2y + 3 into the equation y= -3x - 4 will produce the equation ?
Answer:
y=-6y-13
Step-by-step explanation:
If x=2y+3 and y=-3x-4, you can plug x's value into y=-3x-4:
y=-3(2y+3)-4
Then solve.
y=-6y-9-4
Simplify.
y=-6y-13
which statement corresponds to the conjunction x > -5 and x < 14
Answer:
-5 < x < 14
Step-by-step explanation:
-5 < x < 14
hope it is helpful to you ☺️
I will mark the brainliest 500 points
Answer:
50.3
Step-by-step explanation:
Answer:
50.3
Step-by-step explanation:
I know this because im smaart
What’s the answer to this? I need to do this for extra credit and I have no idea what this is
9514 1404 393
Answer:
20
Step-by-step explanation:
As with any evaluation problem, take it step by step according to the order of operations.
The first thing you need to do here is compute a#b.
The given definition can be simplified a bit for evaluation purposes:
a#b = a²b -ab² = ab(a -b)
Then for a=3 and b=-2, you have ...
(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30
Now, you are in a position to evaluate the expression you're asked for.
[tex]\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}[/tex]
how to solve 11/8 ÷ 4/9
[tex]3.09375[/tex] ✅
Step-by-step explanation:
[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Find the value of x
Answer:
x = 25 degree
Step-by-step explanation:
5x + 4 = 8x - 71 (being vertically opposite angle)
5x - 8x = -71 - 4
-3x = -75
x = -75/-3
x = 25
a round cake pan has a diameter of 6 inches which is closest to the area of the bottom of the Pan
A. 20 square inches B. 30 square inches
C. 40 square inches. D. 100 square inches
Answer:
The correct answer is B.
Step-by-step explanation:
The area of the closest answer is 30 since the actual area is 28 square inches.
If JK AND LM which statement is true
Answer:
Perpendicular lines meet at 90 degrees, so JK and LM meeting at 90 degrees is the correct answer.
Step-by-step explanation:
(I know they mean If JK is perpendicular to LM because I saw this question before on brainly.)
Can anyone help pls? Thanks much appreciated
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
25/22 as a decimal rounded to the nearest hundredths
Answer:
Hi there!
Step-by-step explanation:
First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)
Hope you enjoy!
A car dealership marks up all new automobiles by 15%. What was the original wholesale cost of a car with a sticker price of $22,500 at this dealership?
Answer:
$19,565.22
Step-by-step explanation:
15% of 22,500 = 3375 as we multiply by 0.15
but, 15% of an initial is still whole 1 + 0.15 = 1.15 but when using sale prices to find initial we DIVIDE
= 22500 / 1.15 = 19565.2174
and round up by 2dp currency.
= $19565.22
The way to remember is the opposite finds the original
if f(x) = x^2 + 3x, and g(x) = 2x^2, what is g(f(-1))?
Answer: g
(
x
2
−
3
x
)
=
2
x
2
−
6
x
+
2
Step-by-step explanation:
What is the value of the expression below if y = 5?
35 = (y + 2) + 4
Answer:
11
Step-by-step explanation:
Using GEMDAS
G-Group
E-Exponent
M-Multiplication
D-Division
A-Addition
S-Subtraction
Step 1: Substitute the value y=5 in the equation
35÷(5+2)+4
Step 2: Evaluate the equation by computing first the parenthesis
35÷(7)+4
Step 3: Next divide 35 by 7
(5)+4
Step 4: Add
=9
The answer is 9.
Find the GCF of 21m^5n^2 and 28m^4n2
Answer: 7m⁴n²
Step-by-step explanation:
Find the GCF of 21m⁵n² and 28m⁴n².
Find the prime factors of each term in order to find the greatest common factor (GCF).
21m⁵n² = 7 · 3 · m · m · m · m · m · n · n
28m⁴n² = 7 · 2 · 2 · m · m · m · m · n · n
The product of these common prime factors will be the Greatest Common Factor: 7 · m · m · m · m · n · n = 7m⁴n²
why 13/3hr and 4hr are equal?
Answer:
13/3 = 4 1/3 which when rounded is 4hrs
As 4.3/4 = 1.075 = 1 unit and not 2
Step-by-step explanation:
13/3 = 4.33333333 and rounded down = 4 hrs
Assume that a standard number cube is rolled.Find the theoretical probability of each event to the red box that has the correct solution
Answer:
well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance
Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly
Suppose that you collect a random sample of 250 salaries for the salespersons employed by a large PC manufacturer. Furthermore, assume that you find that two of these salaries are considerably higher than the others in the sample. Before analyzing this data set, should you delete the unusual observations
Answer:
It depends and analysis maybe with the values kept and with the values deleted depending on what we intend to find with the data.
Step-by-step explanation:
When conducting data analysis, a large chunk of time is usually spent trying to ensure that the data is prepared to be used for the require analysis. To ensure this, we tidy up the data by doing the following :
Changing the data format for variables whose units do not conform and so on.
The method of dealing with missing data is essential during data analysis. Missing data may be replaced with the mean value of the observation or completely removed. Based on the scenario, the sample size is 250 ; number of values with unusually high salary values are just 2, hence, removing this values shouldn't pose much of a threat to our data and shouldn't have much effect on the outcome. Hence, removing the Outliers.
Similarly, this unusually high values may signify certain purpose or give certain critical information about the salary and hence may not be deleted
Depending on what we hope to discover from the data, an analysis may be performed
What is a random sample?A simple random sample is a subset of persons picked at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.
When performing data analysis, a significant amount of work is typically dedicated to making sure the data is ready to be used for the required analysis. We clean up the data in the following ways to make sure of this
changing the data format for variables with non-conforming unit measurements.
During data analysis, the way missing data are handled is crucial. Missing data can either be fully eliminated or replaced with the observation's mean value. According to the scenario, the sample size is 250 there are only 2 values with abnormally high salary values, therefore deleting these values shouldn't constitute significant harm to our data or have a significant impact on the results. thus eliminating the Outliers
learn more about random samples here :
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a home improvement store charges $20 to rent a small truck for 1 hour . Each additional hour costs $25 . There is also a fuel surcharge of $0.05 for each mile driven .How much will it cost to rent the truck for 4 hours if it is driven 30 miles
Answer:
It will cost $121.50
Step-by-step explanation:
C = 20 + 25h + .05m
Now plug in the hours and miles
C = 20 + 25(4) + .05(30)
C = 20 + 100 + 1.5
C = 121.50
The total cost rent the truck for 4 hours and 30 miles drive is $121.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, a home improvement store charges $20 to rent a small truck for 1 hour.
Let the number of hours be h and the number of miles be m.
Now, total charge = 20+25h+0.05m
Here, h=4 and m=30
So, total charge = 20+25(4)+0.05(30)
= $121.5
Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.
To learn more about an equation visit:
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The width of a rectangle is 5 ft less than the length. The area of the rectangle is 234f * t ^ 2 Find the length Land width W of the rectangle: L = W =
Answer:18x13
Step-by-step explanation:
6x1=6 7x2=14 keep going up staying 5 less than or more than it doesn't matter cause its the same when dealing with just two exponents. When you get to 18x13 you get 234.
Solve for m.
13 =2m+513=2m+5
Answer:
m=13
Step-by-step explanation:
Factor completely 10x2 + 2x − 8.
Answer:
2(6+x)
Step-by-step explanation:
1. Multiply the numbers
20+2x-8
2. Subtract the numbers
12+2x
3. Factor 2 from the expression
2(6+x)
What is the answer
Please Help
Greatly Appreciated!!
Answer:
D. 3
Step-by-step explanation:
two parallel lines have the same slope
Numbers get 10x bigger or smaller when you move one place to the right on the decimal scale. true or false
Answer:
It is true!!!'djjfdjidjdneidid
To celebrate 24 years in business, a clothing store's marketing executive is ordering scratch-off discount coupons to give to customers. She would like 40% of customers in the population to receive the highest possible discount, with an SEP of 0.01 for this population. How many coupons should she order?
Answer:
She should order 2400 coupons.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
She would like 40% of customers in the population to receive the highest possible discount, with an SEP of 0.01 for this population.
This means that [tex]p = 0.4, s = 0.01[/tex]
How many coupons should she order?
We have to find n. So
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]0.01 = \sqrt{\frac{0.4*0.6}{n}}[/tex]
[tex]0.01\sqrt{n} = \sqrt{0.4*0.6}[/tex]
[tex]\sqrt{n} = \frac{\sqrt{0.4*0.6}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{\sqrt{0.4*0.6}}{0.01})^2[/tex]
[tex]n = 2400[/tex]
She should order 2400 coupons.
100 points Which expression represents the following calculation?
Subtract 32 from the product of 48 and 15.
A. 32 – (48 × 15)
B. (48 – 15) × 32
C. (48 × 15) – 32
D. 32 × (48 – 15)
Please quick
Answer:C
Step-by-step explanation: you have to multiply first than subtract because it says subtract 32 FROM the product meaning multiplying comes first than subtract
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
3x-4y=8
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]3x - 4y = 8[/tex]
Required
Graph the line
First, we calculate the intercepts
Set x = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3*0 - 4y = 8[/tex]
[tex]- 4y = 8[/tex]
Divide by -4
[tex]y = -2[/tex]
So, we have:
[tex](x,y) = (0,-2)[/tex]
Next, set y = 0
So:
[tex]3x - 4y = 8[/tex]
[tex]3x - 4 * 0 = 8[/tex]
[tex]3x = 8[/tex]
Divide by 3
[tex]x = 8/3[/tex]
So, we have:
[tex](x,y) = (8/3,0)[/tex]
The graph to be plotted must pass through [tex](x,y) = (0,-2)[/tex] and [tex](x,y) = (8/3,0)[/tex]
Here's my answer
hope it helps
I'LL GIVE BRAINLIST!!! 1. Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 109.3°
a = 5.6 km
b = 10.7 km
Answer:
c=13.6km, B=47.9⁰, A=22.8⁰,
Using the cosine rule, the missing parts of the triangle are:
c = 13.6 km; B = 47.9°; C = 22.8°
What is the Cosine Rule?Cosine rule is given as, c² = a² + b² ﹣ 2ab(cosC)
Given the following:
C = 109.3°a = 5.6 kmb = 10.7 kmFind c using the cosine rule:
c² = 5.6² + 10.7² ﹣ 2(5.6)(10.7)(cos 109.3)
c² = 185.5
c = √185.5
c = 13.6 km.
Use the cosine rule to find A:
5.6² = 10.7² + 13.6² ﹣ 2(10.7)(13.6)(cosA)
31.36 = 299.45 ﹣ 291.04(cosA)
31.36 - 299.45 = ﹣ 291.04(cosA)
-268.09 = ﹣ 291.04(cosA)
0.9211 = (cosA)
C = cos^(-1)(0.9211)
C = 22.8°
Find B:
B = 180 - 22.8 - 109.3
B = 47.9°
Therefore, using the cosine rule, the missing parts of the triangle are:
c = 13.6 km; B = 47.9°; C = 22.8°
Learn more about the cosine rule on:
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The points (-6, r)
and
(6,3) lie on a line with slope 3/4. Find the missing coordinate r.
Answer:
r=-6
Step-by-step explanation:
[tex]m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6[/tex]
i got like 4 more left ;)
Answer:
oof
Step-by-step explanation:
