The hexadecimal system numbering system is base 16; in other words, 16 numerals are used to express any given number.
In this system, 16 numerals are used to represent any given number. The numerals used in this system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F, where A represents 10, B represents 11, and so on, up to F, which represents 15.
This system is commonly used in computer science, as it is more compact than the decimal system, and allows for easier conversion between binary and decimal systems. In the hexadecimal system, each digit represents a power of 16, just as each digit in the decimal system represents a power of 10.
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Solve for x. -7.6 -1.2 + X 0.5
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is red. Spinner divided evenly into eight sections with three colored blue, one red, two purple, and two yellow. Determine the theoretical probability of the spinner not landing on red, P. 0.125 0.250 0.675 0.875
The theoretical probability of the spinner not landing on red is 0.875.
How to determine the theoretical probability of the spinner not landing on redThe total number of sections on the spinner is 8, out of which only one section is red. Therefore, the probability of the spinner landing on red is:
P(Red) = 1/8
The probability of the spinner not landing on red would be the probability of landing on any other section, which is:
P(Not Red) = 1 - P(Red) = 1 - 1/8 = 7/8
Therefore, the theoretical probability of the spinner not landing on red is 7/8 or 0.875 in decimal form.
So, the correct answer is: 0.875.
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Answer:
D
Step-by-step explanation:
In trapezoid ABCD, O is the point of intersection from the diagonals. The area of AOD is 15 ft^2. The altitudes from B and O to the longer base are in a 5:3 ratio. Find the area of ABD and the area of MOC if M is the midpoint of the leg CG
If M is the midpoint of the leg CG, then the
a) Area of ABD = 18.75 ft^2
b) Area of MOC = 15 ft^2
To solve this problem, we need to use the properties of trapezoids and their diagonals. Let's start with finding the area of ABD.
First, notice that ABD and COD are similar triangles because they share angle O. Thus, we can write
AB/CD = AD/CO
Since AD = BC (opposite sides of a trapezoid are parallel), we can simplify to:
AB/CD = BC/CO
We also know that the area of AOD is 15 ft^2
Area of ABD/ Area of COD = AB/CD
We can substitute the ratio AB/CD from the similarity relation above to get
Area of ABD/ Area of COD = BC/CO
Since the bases of the trapezoids are parallel
Area of ABD/ Area of COD = BD/CO
Finally, we can use the fact that the altitudes from B and O to the longer base are in a 5:3 ratio to write
Area of ABD/ Area of COD = 5/3
Area of ABD = 5/8 × Area of COD
We know that the area of AOD is 15 ft^2, so the area of COD is twice that, or 30 ft^2. Therefore
Area of ABD = 5/8 × 30 = 18.75 ft^2
Next, we need to find the area of MOC. To do this, we can use the fact that the diagonals of a trapezoid divide it into four triangles, and the areas of these triangles are proportional to the lengths of the diagonals.
Let x be the length of OC, and let y be the length of OG. Then we have
Area of MOC/ Area of MOG = x/y
Also, since M is the midpoint of CG, we have
x = 2y
Substituting this into the first equation, we get
Area of MOC/ Area of MOG = 2
We know that the area of MOG is half the area of AOD, so
Area of MOG = 15/2 ft^2
Therefore, we have
Area of MOC = 2 × Area of MOG = 15 ft^2
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Steven read that the actual distance between Memphis and Chicago is about 525 miles. On a map, the distance between the two cities is about 10 inches. Which is most likely the scale used to make the map?
Answer:About 1,012 Inches
Step-by-step explanation:
Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 20 inches long. What is the side length of each piece?
1. 10√2
2. 20√2
3. 10√3
4. 20√3
Answer:
The correct answer is:
10√2
Explanation:
In a right triangle, the hypotenuse is the side opposite the right angle and is also the longest side. The other two sides are called the legs.
In this problem, the hypotenuse of the resulting triangles is given as 20 inches. Since the quilt squares are cut on the diagonal to form triangular quilt pieces, the hypotenuse of each triangle is formed by the diagonal cut of a square.
Let's denote the side length of each square as "s" inches.
According to the Pythagorean Theorem, which relates the sides of a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
In this case, the hypotenuse is 20 inches, so we have:
20^2 = s^2 + s^2 (since the two legs of the right triangle are the sides of the square)
400 = 2s^2
Dividing both sides by 2, we get:
200 = s^2
Taking the square root of both sides, we get:
s = √200
Since we are looking for the side length of each piece in simplified radical form, we can further simplify √200 as follows:
√200 = √(100 x 2) = 10√2
So, the side length of each quilt piece is 10√
The side length of each piece of the triangular pieces of quilt cut from squares will be 10√2 inches.
This is a simple mathematics problem that can be solved using the Pythagoras theorem. This theorem states that in a right-angled triangle, the square root of the sum of the two perpendicular sides (p,b) is equal to the longest side, called the hypotenuse (h).
[tex]h = \sqrt{p^2 + b^2}[/tex]
Since the triangle pieces have been cut from a square, they will be right-angled triangles, and the two perpendicular sides will be equal, i.e., p = b.
20 = √2p² (since p and b are equal, b can be taken as p)
On squaring both sides,
400 = 2p²
p² = 400/2
p² = 200
p = √200
p = 10√2 = b
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In art class students are mixing blue and red paint to make purple paint. Hawa mixes 1 cup of blue paint and 5 cups of red paint. Jacob mixes 4 cups of blue paint and 13 cups of red paint. Use Hawa and Jacob’s percent of red paint to determine whose purple paint will be redder.
Hawa percent of red paint (to nearest whole number) =
%
Jacob percent of red paint (to nearest whole number) =
%
Hawa ’s purple paint will be redder.
Jacob’s purple paint will be redder.
The two purple paints will be equally red.
attempt 1 out of 2
Miracle Jackson
Which is more? (Percent Comparison)
Apr 10, 6:51:14 PM
Watch help video
In art class students are mixing blue and red paint to make purple paint. Hawa mixes 1 cup of blue paint and 5 cups of red paint. Jacob mixes 4 cups of blue paint and 13 cups of red paint. Use Hawa and Jacob’s percent of red paint to determine whose purple paint will be redder.
Answer:
Step-by-step explanation:
the profit p (in dollars) generated by selling x units of a certain commodity is given by the function p ( x ) = - 1500 + 12 x - 0.004 x ^ 2 What is the maximum profit, and how many units must be sold to generate it?
The profit (p) is $7500 generated by selling 1500 units of a certain commodity is given by the function p ( x ) = - 1500 + 12 x - 0.004 x²
To maximize our profit, we must locate the vertex of the parabola represented by this function. The x-value of the vertex indicates the number of units that must be sold to maximize profit.
We may use the formula for the x-coordinate of a parabola's vertex:
x = -b/2a
where a and b represent the coefficients of the quadratic function ax² + bx + c. In this situation, a = -0.004 and b = 12, resulting in:
x = -12 / 2(-0.004) = 1500
This indicates that when 1,500 units are sold, the profit is maximized.
To calculate the greatest profit, enter x = 1500 into the profit function:
P(1500) = -1500 + 12(1500) - 0.004(1500)^2
P(1500) = -1500 + 18000 - 9000
P(1500) = $7500
Therefore, the maximum possible profit is $7,500 and it is generated when 1,500 units are sold.
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To achieve this maximum profit, exactly 1500 units must be sold.
To find the maximum profit and the number of units needed to generate it, we can use the given profit function p(x) = -1500 + 12x - 0.004x^2. We need to find the vertex of the parabola represented by this quadratic function, as the vertex will give us the maximum profit and the corresponding number of units.
Step 1: Identify the coefficients a, b, and c in the quadratic function.
In p(x) = -1500 + 12x - 0.004x^2, the coefficients are:
a = -0.004
b = 12
c = -1500
Step 2: Find the x-coordinate of the vertex using the formula x = -b / (2a).
x = -12 / (2 * -0.004) = -12 / -0.008 = 1500
Step 3: Find the maximum profit by substituting the x-coordinate into the profit function p(x).
p(1500) = -1500 + 12 * 1500 - 0.004 * 1500^2
p(1500) = -1500 + 18000 - 0.004 * 2250000
p(1500) = -1500 + 18000 - 9000
p(1500) = 7500
So, the maximum profit is $7,500, and 1,500 units must be sold to generate it.
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First person to help me on this will be rewarded plsss
The compound interest investment earns more interest than the simple interest investment, and the difference becomes more significant over time.
After 10 years, the difference is relatively small, but after 20 years, the compound interest investment has earned over $3,700 more than the simple interest investment.
What are the amounts after 10 and 20 years of the investment?To calculate the amount after 10 and 20 years, we can use the following formulas:
Simple Interest: A = P * (1 + r * t)
Compound Interest: A = P * (1 + r/n)^(n*t)
Where:
A is the amount after t yearsP is the principal amount (the initial investment)r is the annual interest rate (as a decimal)n is the number of times the interest is compounded per yeart is the time in yearsUsing these formulas and the information given in the table, we can calculate the amount after 10 years and 20 years for each type of investment.
For simple interest, the interest is not compounded, so we just add the interest to the principal:
Amount after 10 years: A = $50,000 * (1 + 0.0275 * 10) = $68,750
Amount after 20 years: A = $50,000 * (1 + 0.0275 * 20) = $87,500
For compound interest, we need to use the formula above with n=12 (since the interest is compounded monthly):
Amount after 10 years: A = $50,000 * (1 + 0.0275/12)^(12*10) = $68,704.23
Amount after 20 years: A = $50,000 * (1 + 0.0275/12)^(12*20) = $91,262.47
To compare the two investments, we can look at the difference between the amounts after 10 and 20 years:
Difference after 10 years: $68,750 - $68,704.23 = $45.77
Difference after 20 years: $87,500 - $91,262.47 = $3,762.47
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PLEASE HELP DUE TODAY
Answer:
y=-1/12x+61/12
Step-by-step explanation:
y=-1/12x+61/12
Find the area of the shaded region
The area of the shaded region which is a semi-circle is 157ft.
What is semi-circle?
In geometry, a semicircle can be defined as a half of a circle formed by cutting the circle into two halves. It is formed when a line or cut passes through the center and touches the two end positions of the circle and the line is called the diameter of the circle.
The shaded region is a semi- circle.
The radius is 10 ft.
The formula for the area of semi- circle is π×r²/2 where π= 3.14 and r is the radius.
So, the area of the semi- circle is {3.14× (10)²}/ 2
= 157 ft.
Hence, the area of the shaded region which is a semi-circle is 157ft.
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Factor.
z squared+18z–19
(z - or + ?)(z- or + ?)
Answer:
(z - 1) (z + 19)
Step-by-step explanation:
z² + 18z - 19
Consider the form x² + bx + c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is −19 and whose sum is 18.
-1, 19
Write the factored form using these integers.
(z - 1) (z + 19)
2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1/2
B. Translate 1 to the left, scale vertically by 1/2 , then reflect over the y-axis.
C. Translate left by 1/2, then translate up 1.
D. Scale vertically by 1/2, reflect over the x-axis, then translate up 1.
The correct answer is option B. Translate 1 to the left, scale vertically by 1/2, then reflect over the y-axis.
What does term "transformation of a graph" means?The process of modifying the shape, location, or features of a graph is often referred to as graph transformation. Graphs are visual representations of mathematical functions or data point connections, often represented on a coordinate plane.
Translations, reflections, rotations, dilations, and other changes to the look of a graph are examples of graph transformations.
For the given problem, Transformation to get the desired result can be carried out as:
Translate '1' to the left: The transformation "x + 1" in "-k(x + 1)" shifts the graph horizontally to the left by 1 unit.Scale vertically by '1/2' : The 1/2 factor in "-k(x + 1)" vertically scales the graph, compressing it vertically.Reflect over the y-axis: The minus sign before "k" in "-k(x + 1)" reflects the graph over the y-axis, flipping it horizontally.Hence, to convert the graph of "y = k(x)" to the graph of "y = -k(x + 1)," the correct sequence of transformations is to translate 1 unit to the left, scale vertically by 1/2, and then reflect across the y-axis, which is option B.
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Use the functions f(x)=√x+1, g(x)=2x-5, and h(x) = 3x² - 3 to complete the table.
x
4
10
20
34
52
f(g(x))
Answer:
To find the values of f(g(x)) for the given values of x, we need to first evaluate g(x) for each value of x, and then plug the result into f(x).
Using the given functions:
g(x) = 2x - 5
f(x) = √(x+1)
Therefore, we have:
f(g(x)) = √(g(x) + 1) = √(2x - 5 + 1) = √(2x - 4) = 2√(x - 2)
So, we can complete the table as follows:
x f(g(x))
4 2
10 4
20 6
34 8
52 10
Therefore, the completed table is:
x f(g(x))
4 2
10 4
20 6
34 8
52 10
consider these functions f(x)=3x^3+8x-2 k(x)=4x what is the value of k(f(x)
The value of function k(f(x)) is 12x³ + 32x - 8.
What is Function composition:Function composition is a way to combine two or more functions to form a new function. In this case, we are given two functions f(x) and k(x), and we need to find the value of k(f(x)), which means we need to apply the function k(x) to the output of the function f(x).
Here we have
Functions f(x)= 3x³ +8x -2 and k(x) = 4x
To find k(f(x)), we need to substitute the expression for f(x) into k(x) wherever we see x. So, we have:
k(f(x)) = 4(f(x)) = 4(3x³ + 8x - 2)
We can simplify this expression by distributing the 4:
k(f(x)) = 12x³ + 32x - 8
Therefore,
The value of function k(f(x)) is 12x³ + 32x - 8.
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The recipe for one batch of
chocolate chip cookies calls
for 11/3 cups of chocolate
chips. Luca made 3½ batches
of cookies. How many cups of
chocolate chips did he use?
Answer:
Step-by-step explanation:
1 + 1 divided by 3 x 3.5 = 4.66 or 4 2/3
cara computes the mean and variance for the set 87, 46, 90, 78, and 89. she finds the mean to be 78. her steps for finding the variance are shown below. what is the first error cara made in computing the variance?
If Cara's calculation of the sum of the squared differences i.e. 1370 from the mean is incorrect, that would be the first error she made in computing the variance.
As the steps for finding the variance are not provided, it is difficult to determine the first error Cara made.
However, the formula for calculating the variance is:
Variance = (sum of the squared differences from the mean) / (number of observations)
The first error Cara may have made is in calculating the sum of the squared differences from the mean.
The correct steps to find the variance are:
Find the mean:
Mean = (87 + 46 + 90 + 78 + 89) / 5 = 78
Calculate the differences from the mean for each observation:
87 - 78 = 9
46 - 78 = -32
90 - 78 = 12
78 - 78 = 0
89 - 78 = 11
Square each difference:
[tex]9^2 = 81[/tex]
[tex](-32)^2 = 1024[/tex]
[tex]12^2 = 144[/tex]
[tex]0^2 = 0[/tex]
[tex]11^2 = 121[/tex]
Find the sum of the squared differences:
81 + 1024 + 144 + 0 + 121 = 1370
Divide the sum of squared differences by the number of observations:
Variance = 1370 / 5 = 274.
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Given this snippet of code, what is the value of x after executing the last statement? int x = 10, *y; y = &x; y = y + 1; *y = 100;
The value of x after executing the last statement is still 10.
After executing the last statement, the value of x is still 10. The snippet of code declares an integer variable x and a pointer variable y that points to the address of x. Then, y is incremented by 1 (which means it now points to the next memory location after x). Finally, the value 100 is assigned to the memory location pointed to by y, which is actually beyond the memory allocated for variable x. This can lead to unexpected behavior, but since the value of x is never modified directly, its value remains unchanged at 10.
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1. Decide if each quadrilateral is a paranciogram. Explain
1 Pt
105
DOOOO
B
A
75
DE
1 Pt
OO
A B
4/7 -
11
65°
E
1 Pt.
For what value of x must the quadrilateral be a parallelogram?
A
O
B
с D E
A. Yes the quadrialateral is a parallelogram, because consecutive angle are supplementary.
B. Yes the quadrialateral is a parallelogram, because one pair of opposites sides is both
parallel and congruent
C. Yes the quadrialateral is a parallelogram, because opposite angles are congruent.
D. Yes the quadrialateral is a parallelogram, because diagonals bisect each other.
E. No we do not have enough information to prove this is a parallelogram.
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For all given Quadrilaterals none has enough information provided in the problem to definitively say - if they are a parallelogram.Hence, option E is correct for all.
How to determine if Quadrilateral is a parallelogram?If a quadrilateral is a parallelogram, it satisfies the following properties:
Opposite sides are parallel.Opposite sides are equal in length.Opposite angles are equal.Diagonals bisect each other.It is important to note that in order to definitively conclude that a quadrilateral is a parallelogram, all four properties must be satisfied. If only one or some of the properties are met, it does not necessarily guarantee that the quadrilateral is a parallelogram.
Figure 1-: Adjacent angles are 105 and 75 degrees, which satify the condition of opposite angles being equal but except this no other information is provided, Hence, we don't have enough information to say figure 1 is a parallelogram.
Figure 2-: Diagonals bisect each other and make angle 65 degree with each other. Given that Diagonal 1 bisects Diagonal 2 and the opposite sides of the quadrilateral are equal, by using SAS criterion, the congruency of triangles formed by the diagonals can be derived to say that the opposite angles of the quadrilateral are also equal . However, we still need more information about parallelism of sides to definitively say given quadrilateral is a parallelogram.
Figure 3-: One pair of opposite side is equal in length ,while other pair of line is parallel to each other.This information is insufficient to determine if given quadrilateral is a parallelogram.
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See image. If you can show work please do so otherwise thank u in advanced
From the figures, AB is a tangent to the C because they make a right angles (90⁰)
What is a tangent to a circle?Recall that in n Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
We shall be determining the angle at C to see if it gives 90⁰
Using trigonometrical ratios of tangent
TanB = Opposite/Adjacent
Tan B. = 4.8/7.2
Tan B = 0.6667
B = Tan⁻¹0.6667
<B = 33.69⁰
Also in the same manner,
TanS = opp/Adj
Tan S = 7.2/4.8
Tan S = 1.5
S = Tan⁺¹1.5
< S = 56.31⁰
Npw <S + <B = 56.32 + 33.69 = 89.9999247 = 90⁰
Therefore AB makes tangent at C
20.
Tan C = Opp/Adj
Tan C = 15/11.2
Tan C = 1.3393
C = Tan⁺¹1.3393
< C = 53.25
Also, Tan B = 11.2/15
Tan B = 0.7467
B = 36.75
<B + <C = 36.75 + 53.25 = 89.9986 = 90⁰
Therefore AB makes a tangent at C
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your laundry basket contains 4 plain socks: a red one, a blue one, a yellow one and a green one. the basket also contains 4 striped socks: a red striped one, a blue striped one, a yellow stripped one and a green stripped one. if you want to wear a plain sock on your left foot and a stripped sock on your right foot, how many options do you have?
The total number of probability options will be 8 options.
1. Red plain and Red striped.
2. Blue plain and Blue striped.
3. Yellow plain and Yellow striped.
4. Green plain and Green striped.
5. Red plain and Blue striped.
6. Blue plain and Yellow striped.
7. Yellow plain and Green striped.
8. Green plain and Red striped.
There are 8 socks in the basket, and you can choose 1 plain sock and 1 striped sock.
This means that there are 8 possible combinations of socks you could choose.
Count the number of socks in the basket. There are 8 total socks (4 plain and 4 striped).
The number of options: There are 8 possible combinations of socks you could choose, so you have 8 options for wearing a plain sock on your left foot and a striped sock on your right foot.
Therefore,
You have 8 options for wearing a plain sock on your left foot and a striped sock on your right foot.
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Phil is baking a pie with cranberries and apples. Apples cost $0.60/cup and cranberries cost $0.40/cup. Phil wants to spend no more than $4.20 on the fruit for his pie.
Question
What is an inequality that represents the combinations he can use?
In ΔHIJ, the measure of ∠J=90°, HI = 6. 7 feet, and JH = 4. 8 feet. Find the measure of ∠I to the nearest degree
The measure of angle I in the triangle HIJ using given measurements is equal to 46.05 degrees.
In the triangle HIJ,
The measure of angle J is equal to 90 degrees.
This implies ,
HI is the hypotenuse.
JH is the opposite side to angle I.
In triangle HIJ,
Using trigonometric ratio we get,
sin ∠I = Opposite side / Hypotenuse
Substitute the values we have,
⇒ sin ∠I = 4.8 / 6.7
⇒ sin ∠I = 0.72
Now , take sin⁻¹ both the side of the equation we get,
⇒sin⁻¹(sin ∠I) = sin⁻¹( 0.72 )
Here sin⁻¹(sin ∠I) = ∠I
⇒∠I = sin⁻¹( 0.72 )
⇒∠I = 46.05 degrees
Therefore, the measure of angle I is equal to 46.05 degrees.
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tim wants his mean quiz score to be 90. his first 3 quiz scores were 86, 92, and 94. what score should he make on the 4th quiz in order to have a mean quiz score of exactly 90?
The score to be made on the 4th quiz in order to have a mean quiz score of exactly 90 is equal to 88.
Let us consider the score that Tim needs to get on his fourth quiz be x.
Score he needs to get in order to have a mean quiz score of 90,
Set up an equation using the formula for the mean ,
(mean score) = (sum of scores) / (number of scores)
If Tim wants his mean quiz score to be 90, then we have,
⇒ 90 = (86 + 92 + 94 + x) / 4
Multiplying both sides by 4, we get,
⇒360 = 86 + 92 + 94 + x
Simplifying this equation, we get,
⇒ x = 360 - 272
⇒ x = 88
Therefore, Tim needs to get a score of 88 on his fourth quiz in order to have a mean quiz score of exactly 90.
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Subtract the sum of -52 and - 638 from the sum of - 29 and 303 the value is
The solution of the expression is 964.
To start solving this problem, let's find the sum of -29 and 303. The sum of two numbers is the result when you add them together. So,
-29 + 303 = 274
The sum of -29 and 303 is 274.
Now, let's find the sum of -52 and -638. To add two negative numbers, you just add their absolute values and put a negative sign in front of the result. So,
-52 + (-638) = -690
The sum of -52 and -638 is -690.
Finally, the problem asks us to subtract the sum of -52 and -638 from the sum of -29 and 303. To subtract one sum from another, we just subtract the second sum from the first. So,
( -29 + 303 ) - ( -52 + -638 )
We can simplify the expression by rearranging the terms:
274 - (-690)
When we subtract a negative number, it's the same as adding its absolute value. So,
274 + 690 = 964
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MODELING REAL LIFE The volume of the largest of the six pyramids constructed by the Norte Chico people in Caral, Peru, is about 4,500,000 cubic feet. What is the height of the pyramid? A pyramid with the height h feet. Length of 8 h minus 30 feet. Width of 8 h plus 20 feet. Height: ft
The height of the pyramid whose volume is already given would be = 1,440,000 ft
How to calculate the height of the given pyramid?To calculate the height of the pyramid, the formula of the Volume of the pyramid should be used.
Volume = 1/3lwh
where l = base length = 8h-30 ft= 3.75 ft
w = base width= 8h+20 ft = -2.5 ft
h = h ft
The volume of the pyramid = 4,500,000 cubic feet
4,500,000 = 1/3 × (3.75)(-2.5)h
Make h the subject of formula;
h = 4500000×3/3.75×(-2.5)
h = 13500000/9.375
h = 1,440,000 ft.
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The Olympic record for the men's 50-meter freestyle is 21.91 seconds. Express this speed in meters per second
Answer:
50 meters/21.91 seconds = 2.282 m/sec
a report claims that the proportion of all adults who are vegetarians is 0.12. believing this claimed value is incorrect, a researcher surveys a large random sample of 1,000 adults and finds that 140 of the adults in the sample are vegetarians. what will the test statistic be equal to in this example? as you are engaging in calculations, try not to do a lot of rounding until you get to the very end, and choose the answer below that is closest to what you calculate. a. 2.5 b. 1.4 c. 1.9 d. 0.3 d. less than 0.1
The correct answer is (c) 1.9
How to calculate the test statistic?To calculate the test statistic in this example, we can use the formula for a z-test for proportions:
[tex]z = (p - P) / \sqrt{[P(1-P) / n][/tex]
where:
p is the sample proportion of vegetarians (140/1000 = 0.14)
P is the hypothesized population proportion of vegetarians (0.12)
n is the sample size (1000)
Substituting these values into the formula, we get:
[tex]z = (0.14 - 0.12) / \sqrt{[0.12(1-0.12) / 1000][/tex]
z = 0.02 / 0.0110
z = 1.818 (rounded to three decimal places)
Therefore, the test statistic in this example will be approximately equal to 1.818. The answer closest to this value is (c) 1.9
Learn more about test statistic
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Which function has real zeros at x = 3 and x = 7?f(x) = x2 4x – 21f(x) = x2 – 4x – 21f(x) = x2 – 10x 21f(x) = x2 – 10x – 21
Answer: The function that has real zeros at x = 3 and x = 7 is:
f(x) = (x - 3)(x - 7)
Expanding this function using FOIL (First, Outer, Inner, Last) method:
f(x) = x^2 - 10x + 21
Therefore, the answer is:
f(x) = x^2 - 10x + 21
Step-by-step explanation:
What is the difference of the fractions? 4/7 - 10/7
Answer:
-6/7
Step-by-step explanation:
Himpunan penyelesaian dari :
18 - 2x < 3.(2x - 1) - 3
adalah ….
Step-by-step explanation:
18-2x<3(2x-1)-3
21-2x<6x-3
24<8x
3<x
Interval notation
(3, ∞)