Answer:
0
Step-by-step explanation:
If the slope is a horizontal line it is 0
For a standard normal distribution, P(-1≤ z ≤ 0.3) is equal to
a. 0.78
b. 0.46
c. 0.16
d. 0.62
For a standard normal distribution, P(-1≤ z ≤ 0.3) is equal to 0.46
So, the correct answer is B.
For a standard normal distribution, P(-1 ≤ z ≤ 0.3) represents the probability that a value falls between -1 and 0.3 standard deviations from the mean.
To find this probability, you can use a standard normal table or calculator.
You would first calculate the cumulative probabilities for both z-scores and then subtract the lower probability from the higher probability.
In this case, P(z ≤ 0.3) = 0.6179, and P(z ≤ -1) = 0.1587.
Now, subtract: 0.6179 - 0.1587 = 0.4592.
This value is closest to 0.46, making the correct answer option b.
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With the airplane loaded as follows, what action can be taken to balance the airplane? front seat occupants = 411 lb rear seat occupants = 100 lb main wing tanks = 44 gal
The airplane will become balanced if we add a 100- pound weight to the baggage compartment.
Why should the weight on the airplane be balanced?An airplane is used to convey people and goods from one point to another by air. The airplane must be airlifted. This means that the airplane must be balanced while on air. If the airplane is not balanced, it may be difficult to control.
Looking at the situation of this airplane, the airplane will become balanced if we add a 100- pound weight to the baggage compartment.
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select all coordinate pairs that could represent a solution to 3x - 2y = 12
is 55 810 a multiple of 10
Answer:
Yes
Step-by-step explanation:
Any number that ends with a zero is a multiple of 10
2. The tables show the numbers of gr
and purple beads Mia and Riley used
to make 5 different decorative picture
frames.
Mia's Picture Frames
Green
2
4
6
8
10
Purple
7
14
21
28
35
Riley's Picture Frames
Green 5 10 15 20
Purple 8 13 18 23
25
28
Part A
Are the numbers of green and
purple beads in Mia's picture frames
proportional? Write an equation that
relates the number of purple beads, p,
to the number of green beads, g.
Part B
Are the numbers of green and purple
beads in Riley's picture frames
proportional? Write an equation that
relates the number of purple beads, p.
Answer:
What-?
\(\(\purple{\rule{45pt}{1000000pt}}\tex\)
Part A: yes, p = 7/2 g;
Part B: no, p = g+3.
What are ratio and proportions?Fractions play a major role in the explanation of ratio and proportion. At the point when a division is addressed as a: b, in which case it is a ratio, whereas a proportion asserts that two ratios are equal. A and b are any two integers in this case. The ratio and proportion are two crucial concepts that serve as the foundation for comprehending a variety of scientific and mathematical concepts.
Given tables for different beads for picture frame,
Mia's picture frame
Green beads 2 4 6 8 10
purple beads 7 14 21 28 35
Part A: since 2/7 = 4/ 14 = 6/21 = 8/28 = 10/35 = 2/7
so the beads are in proportion,
since 2/7 = g/p, where p = purple beads and g = green beads
p = 7/2 g.
Part B Riley's picture frame
Green beads 5 10 15 20 25
purple beads 8 13 18 23 28
now 5/8 ≠ 10/13 ≠ 15/18 ≠ 20/23 ≠ 25/28
the ratio of green beads are not equal so they are not in proportion,
but they are linear (10 - 5)/(13 - 8) = (15 - 10)/(18 - 13) = (20 - 15)/(23 - 18) =1
let the equation be (g + a= p), where p = purple beads and g = green beads and a, is constant, as we find that purple beads are 3 more than green the equation is p = g + 3
Hence beads in Mia's picture frames are in proportion and not in proportion for Riley's picture frames, and equation for Mia's picture frames is p = 7/2 g, and for Riley's picture frames is p = g + 3.
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Hazel is saving her allowance to buy a new handbag to match her favorite dress. The handbag is shaped like a trapezoid with one base that is 23 centimeters long and another base that is 17 centimeters long. The trapezoid has an area of 260 square centimeters.
What is the height of the trapezoid?
The solution is: the area of the trapezoid-shaped park is 62,100 square yards.
To find the area of the trapezoid-shaped park, we need to use the formula for the area of a trapezoid:
Area = (1/2) x (sum of parallel sides) x (distance between parallel sides)
We are given the lengths of the parallel sides and the distance between them, so we can plug these values into the formula: Area = (1/2) x (260 + 430) x 180
Area = (1/2) x 690 x 180
Area = 124,200 square yards
Therefore, the area of the park is 124,200 square yards.
To find the area of a trapezoid, you can use the formula:
Area = (1/2) × (sum of parallel sides) × (distance between parallel sides)
In your case, the parallel sides are 260 yd and 430 yd, and the distance between them is 180 yd. Plugging these values into the formula, we get:
Area = (1/2) × (260 + 430) × 180
Now, just calculate the area:
Area = (1/2) × 690 × 180
Area = 345 × 180
Area = 62,100 square yards
So, the area of the park is 62,100 square yards.
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complete question:
a park is shaped is shaped like a trapezoid. The parellel sides are 260 yd long and 430 yd long. The distance between the parallel sides in 180yd. What is the area of the park
Use Newton's method with initial approximation x _1 =0 to find x _2 , the second approximation to the root of the equation x ^3 +x+2=0. Round your answer to four decimal places. Enter you answer into a variable x2.
(a) Using Newton's method with initial approximation x_1 = 0, we find x_2 ≈ -1.0000.
Newton's method is an iterative root-finding algorithm that uses the tangent line to approximate the root of an equation. The method starts with an initial approximation and improves it iteratively by finding the intersection of the tangent line with the x-axis. In this case, we are finding the root of the equation \(x^3 + x + 2 = 0\). We start with the initial approximation x_1 = 0. To find x_2, we use the formula:
\(x_2 = x_1 - f(x_1) / f'(x_1)\),
where f(x) represents the function \(x^3 + x + 2\)and f'(x) represents the derivative of f(x). First, we evaluate f(x_1) and f'(x_1). Plugging in x_1 = 0, we get \(f(0) = 0^3 + 0 + 2 = 2\) and \(f'(0) = 3(0^2) + 1 = 1\). Substituting these values into the formula, we have:
x_2 = 0 - (2 / 1) = -2.
Rounding x_2 to four decimal places, we get x_2 ≈ -1.0000.
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A company has just paid a dividend of 4.91$. Its discount rate is 8.6%, and the expected perpetual growth rate is 3.6%. What would you expect to be the stock's price TODAY?
Based on the given dividend of $4.91, a discount rate of 8.6%, and an expected perpetual growth rate of 3.6%, we would expect the stock's price to be $98.20 today.
To determine the stock's price today, we can use the dividend discount model (DDM), also known as the Gordon growth model. The DDM calculates the present value of all future dividends, taking into account the required rate of return and the expected growth rate.
Let's plug in the values given in your question:
Dividend (D) = $4.91
Discount Rate (r) = 8.6% or 0.086
Perpetual Growth Rate (g) = 3.6% or 0.036
Now we can substitute these values into the formula to calculate the stock's price today:
Stock Price =4.91 - 0.086 = 0.036
Stock Price= 0.086−0.036 = 4.91
Simplifying the denominator:
Stock Price = 4.91/0.05
Stock Price=98.20
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Is the following statement true or false?
When you find the square root of a negative number the answer will be negative
A. True
B. False
Answer:
False
Step-by-step explanation:
No we can't find the square root of negative number.
Hope it helped you
Please Mark me the brainliest
Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.
3 ÷ 1
18 ÷ (–6)
–6 ÷ –2
27 ÷ (–9)
–15 ÷ –5
–9 ÷ 3
Answer:
IT'S B,D, AND F.
Step-by-step explanation:
i took the quiz and it was right ;)
Answer:
good luck :P
Step-by-step explanation:
On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas.
How many of these 250 customers made additional purchase?
im doing a test
Answer: 180 people
I hope i helped you! I wish you luck on the test!
Select one of the options below as your answer:
A. Gary: The balance in his check register is $500 and the balance in his bank statement is $500.
B. Gail: The balance in her check register is $400 and the balance in her bank statement is $500.
C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
The statement that shows a discrepancy between the check register and bank statement is: C. Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
The check register shows a balance of $500, while the bank statement shows a balance of $510.
In the case of Gavin, where the balance in his check register is $500 and the balance in his bank statement is $510, there is a $10 discrepancy between the two.
A possible explanation for this discrepancy could be outstanding checks or deposits that have not yet cleared or been recorded in either the check register or the bank statement.
For example, Gavin might have written a check for $20 that has not been cashed or processed by the bank yet. Therefore, the check register still reflects the $20 in his balance, while the bank statement does not show the deduction. Similarly, Gavin may have made a deposit of $10 that has not yet been credited to his account in the bank statement.
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If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed
Answer:
5400
Step-by-step explanation:
you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter
3. In the figure, BE bisects CBD. If CBE = (3x – 7)
and CBD = 94°, find the value of x.
Answer:
18 = x
Step-by-step explanation:
BE bisects CBD so that means
1/2 CBD = CBE
1/2 (94) = 3x-7
47 = 3x-7
Add 7 to each side
47+7 = 3x-7+7
54 = 3x
Divide by 3
54/3 = 3x/3
18 = x
-1/2 minus 1/5. reduce to the simpiliest form
Answer:
It should be -7/10
Answer: The answer is -7/10 :)
Step-by-step explanation:
-1/2-1/5=-7/10
Please answer correctly I’ll mark you brainlist!
Answer:
296.96 m
Step-by-step explanation:
Bring the following fractions to the given denominator. Check if the domain of the fraction changed. If yes, state the changes. p/p-2 to a denominator of 4-p^2
The domain of the expression changed from p≠2 to p≠-2
50 pts btw
Answer:
it did not change because the expression p-2 still remains the denominator
st
2. Find the surface area of the sphere below.
.
3.1 m
-
Answer:
120.7016
Step-by-step explanation:
surface area of sphere=4πr²
solution
=4*3.14*3.1*3.1
=120.7016
1. Which square-large, medium, or small-covers more of the plane? Explain your reasoning.
The large square covers more
(See attachment below)
Explanation- The large square has the highest dimension and by extension, it has the highest area.
This means that, less large squares will be needed to cover more areas compared to other sizes of the squares
Area of the square =(side)².
square, in geometry, a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle and a special kind of parallelogram.
By observation,
9 small squares are equivalent to one large square, implying that the 5 large squares are giving us 45 small squares.
4 small squares can fit into one medium square, implying that the 10 medium squares are giving us 40 small squares.
There are only 10 small squares.
Hence, the large square covers more of the plane
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a physicist examines 28 sedimentary samples for potassium chloride concentration. the mean potassium chloride concentration for the sample data is 0.158 cc/cubic meter with a standard deviation of 0.0171. determine the 98% confidence interval for the population mean potassium chloride concentration. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
The critical value that should be used in constructing the confidence interval is (0.150 , 0.166).
The given parameter is as follows,
t\alpha /2,df = 2.473
Margin of error = E = t\alpha/2,df * (s sqrt n)
= 2.473 * (0.0171 / \sqrt28)
Margin of error = E = 0.008
If the populace preferred deviation (σ) is known, a speculation take a look at carried out for one populace imply is known as one-imply z-take a look at or definitely z-take a look at. A z-take a look at is a speculation take a look at for trying out a populace imply, μ, in opposition to a intended populace imply, μ0.
The 98% confidence interval estimate of the population mean is,
\bar x - E < \mu < \bar x + E
0.158 - 0.008 < \mu < 0.158 + 0.008
0.150 < \mu < 0.166
(0.150 , 0.166)
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-9e - 4 > 41
show u work plz
Answer:
e = -5
Step-by-step explanation:
-9e - 4 > 41
+4 +4
-9e > 45
divide by -9 on both sides
e = -5
Hope dis helped!
.
Larry is starting his own lawn service company. He has initial startup costs totaling $300, plus ongoing operating expenses. The function representing Larry's expenses and the function representing Larry's income for lawn services are shown in the graph below.
Approximately how many lawns will Larry have to mow before he starts making a profit?
Anwer Choises:
Larry must mow approximately 300 lawns before he starts making a profit.
Larry must mow approximately 350 lawns before he starts making a profit.
Larry must mow approximately 25 lawns before he starts making a profit.
Larry will start making a profit when he mows his first lawn.
Answer:
Larry must mow approximately 25 lawns before he starts making a profit
Step-by-step explanation:
identify the slope of a line with run -16 and rise 4
Answer:
The slope is
11 − 2 or − 5.5 .
Step-by-step explanation:
To find the slope given two points, we use the formula
rise
run
, or
y
2
−
y
1
x
2
−
x
1
.
Plug in the given points into the formula:
5
−
(
−
6
)
4
−
6
=
11
−
2
Therefore, the slope is
11
−
2
or
−
5.5
.
Hope this helps!
A cylinder has a height of 10 yards and a diameter of 38 yards. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
11335.40 not sure po sa answer
find the derivative of the function g(x) = (x^2 - x +
1)^10.(tanx)^3.
The derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).
To find the derivative of the given function g(x), we can apply the product rule and the chain rule. Let's break down the function into its constituent parts: f(x) = (x² - x + 1\()^1^0\) and h(x) = (tan(x))³.
Using the product rule, the derivative of g(x) can be calculated as g'(x) = f'(x) * h(x) + f(x) * h'(x).
First, let's find f'(x). We have f(x) = (x² - x + 1\()^1^0\), which is a composite function. Applying the chain rule, f'(x) = 10(x² - x + 1\()^9\) * (2x - 1).
Next, let's determine h'(x). We have h(x) = (tan(x))³. Applying the chain rule, h'(x) = 3(tan(x))² * sec²(x).
Now, we substitute these derivatives back into the product rule formula:
g'(x) = f'(x) * h(x) + f(x) * h'(x)
= 10(x² - x + 1)² * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\)* (tan(x))² * sec²(x).
In summary, the derivative of the function g(x) = (x² - x + 1\()^1^0\) * (tan(x))³ is g'(x) = 10(x² - x + 1)⁹ * (2x - 1) * (tan(x))³ + 3(x² - x + 1\()^1^0\) * (tan(x))² * sec²(x).
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if a=6, evaluate the following expression:
10+a/4
Answer:
11.5
Step-by-step explanation:
10 + a / 4 if a = 6
10 + 6 / 4
10 + 1.5
11.5
I hope this helps! Have a lovely day!! :)
Answer:
23/2 or 11.5
Step-by-step explanation:
Simplify 6/4 --> 3/2
Convert 10 into a fraction --> 20/2
20/2 + 3/2 = 23/2
Use elimination to solve eachsystem of equations2x + 3y = 9 8x - 5y = 19
Multiply the first equation by 4:
\(\begin{gathered} 4(2x+3y=9) \\ 8x+12y=36 \end{gathered}\)Subtract the second equation:
\(\begin{gathered} 8x+12y=36 \\ - \\ 8x-5y=19 \end{gathered}\)This is:
\(\begin{gathered} 8x+12y-(8x-5y)=36-19 \\ 8x+12y-8x+5y=17 \end{gathered}\)Simplify:
\(\begin{gathered} 17y=17 \\ \frac{17y}{17}=\frac{17}{17} \\ y=1 \end{gathered}\)Substitute y = 1 in the first equation:
\(\begin{gathered} 2x+3(1)=9 \\ 2x+3=9 \end{gathered}\)Ans solve for x:
\(\begin{gathered} 2x+3-3=9-3 \\ 2x=6 \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}\)Answer:
x = 3
y = 1
Complete the proofs on a seperate sheet of paper!
The proof is completed and showed that < 2 ≅ < 3 as required.
How to show that < 2 ≅ < 3Given data
<1 and <2 are linear pair
<1 + <3 = 180 degrees
required to proof <2 ≅ <3
linear pair implies mathematically that the sum of the two angles are 180 degrees, hence we have:
< 1 + < 2 = 180 degrees equation 1
also given that,
< 1 + < 3 = 180 degrees equation 1
equating equation 1 and equation 2 gives
< 1 + < 2 = < 1 + < 3
< 2 = < 3
Hence the required proof
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Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
The number line which represents the solution bro the inequality y -2 < -5 is;
An open circle is at negative 3. Everything to the left of the circle is shaded.
First, we must solve the inequality so that it looks it's simplest form in order to be represented on a number line.
Solving the inequality is as follows;
y - 2 < -5
y < -5 +2
y < -3.
In essence, representation of the inequality, y < -3 on the number line is as follows;
An open circle is at negative 3. Everything to the left of the circle is shaded.
PS: It is only a closed circle if the inequality includes an equal to sign.
Is it possible for an even degree function to have no zeros? Explain.
Answer:
A polynomial of even degree can have any number from 0 to n distinct real roots
Step-by-step explanation: Yes it can