p-value = 1 - 0.0764 = 0.9236 (rounded to four decimal places)
Therefore, the p-value is approximately 0.9236.
To find the p-value for a one-tail hypothesis test when rejecting the null hypothesis only in the lower tail, you need to calculate the area under the standard normal distribution curve to the left of the given Z-statistic.
Given ZSTAT = -1.43, we want to find the probability that a standard normal random variable is less than -1.43.
Using the standard normal distribution table, locate the absolute value of -1.43 (which is 1.43) and find the corresponding value in the table. The value in the table represents the cumulative probability up to that point.
Looking up the value 1.43 in the standard normal distribution table, we find the corresponding cumulative probability as approximately 0.0764.
However, since we are performing a one-tail test in the lower tail, we need to subtract this cumulative probability from 1 to get the p-value:
p-value = 1 - 0.0764 = 0.9236 (rounded to four decimal places)
Therefore, the p-value is approximately 0.9236.
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The length of a side of a square is equal to the diameter
of a circle. Which is greater, the perimeter of the square
or the circumference of the circle?
Answer:
Therefore the circumference of the circle is greater than the perimeter of the square
A model of an aircraft is 3/5 the length of the original plane. The model is 24.96 feet long. How long is the original plane?
If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
It is given in the question that the model of an aircraft is 3/5th the length of the original plane.
So, Let the length of the original plane be x feet.
According to the question
3/5th of x is 24.96
\(x\times\frac{3}{5} =24.96\)
Multiplying both sides by 5
3x=24.96*5
3x=124.8
Dividing both sides by 3
x=124.8/3
x=41.6
Hence , the value of x is 41.6 feet.
Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
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75% of the 40 beverages in the vending machine are sports drinks. How many of the beverages are sports drinks?
Amari gathered a random sample of oranges in her town. She calculated data on different variables. For one of the variables that she collected, she constructed a bar graph.
Which of the following variables did she use?
Type of orange
Diameter of the oranges
Number of navel oranges
Price per pound of oranges
Based οn the given οptiοns, it is mοst likely that Amari used the variable "Type οf οrange" tο cοnstruct the bar graphs.
What is a bar graph?A bar graph is a chart that displays categοrical data using rectangular bars with heights οr lengths prοpοrtiοnal tο the values they represent. The bars can be οriented hοrizοntally οr vertically, and each bar represents a categοry οr grοup οf categοries.
In a bar graph, the x-axis typically represents the categοries being cοmpared, while the y-axis represents the frequency, cοunt, οr percentage οf the οbservatiοns that belοng tο each categοry. The height οr length οf each bar is determined by the value οr frequency οf the categοry it represents.
The variable that Amari used tο cοnstruct a bar graph is nοt specified. Hοwever, since a bar graph is a type οf chart that displays categοrical data with rectangular bars, it is likely that she used a variable that represents a categοrical variable, such as the type οf οrange (e.g. Valencia, Navel, Blοοd, etc.).
Therefοre, based οn the given οptiοns, it is mοst likely that Amari used the variable "Type οf οrange" tο cοnstruct the bar graph.
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Evaluate -2 +7 +(-4).
ANSWER THIS QUESTION
Answer: 1
Step-by-step explanation: -2+7=5. 5-4=1.
Answer:
1
Step-by-step explanation:
A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perimeter of the rectangle?
Answer:
(24x + 24) units
Step-by-step explanation:
A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:
Perimeter = 2(length + width)
Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:
Perimeter = 2(2x + 11 + 10x + 1)
Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)
Perimeter = (24x + 24) units
sinplify by using properties (-2/9) × 1/7 - 3/14 × 1/9 + (-2/9) × 1/14
Answer:
should be -1/14
Step-by-step explanation:
Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F (5,5) to G (−3,−1).
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
F (5,5) , G (−3,−1)
The distance between them is
\( |FG| = \sqrt{( {5 + 3})^{2} + ({5 + 1})^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
We have the final answer as
10 unitsHope this helps you
Distance formula: d = √(x2-x1)²+(y2-y1)²
= √(x2-x1)²+(y2-y1)²
= √(-3-5)²+(-1-5)²
= √-8²+(-6)²
= √64+36
= √100
= 10
Best of Luck!
2-\dfrac12n=3n+162− 2 1 n=3n+16
Answer:
2-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+16
Step-by-step explanation:
May I have brainliest please? :)
NEED HELP ASAP - Algebra 2
The solution to the equation in this problem is given as follows:
y = -4.
How to solve the equation?The equation for this problem is defined as follows:
\(\frac{y - 6}{y^2 + 3y - 4} = \frac{2}{y + 4} + \frac{7}{y - 1}\)
The right side of the equality can be simplified applying the least common factor as follows:
[2(y - 1) + 7(y + 4)]/[(y + 4)(y - 1)] = (9y + 26)/(y² + 3y - 4)
The denominators of the two sides of the equality are equal, hence the solution to the equation can be obtained equaling the numerators as follows:
9y + 26 = y - 6
8y = -32
y = -32/8
y = -4.
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the weight of trucks traveling on a particular section of i-475 has a population mean of 15.8 tons and a population standard deviation of 8.2 tons. what is the probability a state highway inspector could select a sample of 50 trucks and find the sample mean to be 14.3 tons or less?
The probability a state highway inspector could select a sample of 50 trucks is option 1 which is 0.1251
Population mean = 15.8
Population standard deviation = 9.2 ,
n = 50
To find : P( xbar < 14.3 )
We know, xbar ~ N( μ , σ / √(n) )
P( Z < ( 14.3 - 15.8 ) / 9.2/ ( √50 ) ) = P( Z < -1.5/ 1.3010 ) = P( Z < -1.15)
= 1 - P( Z < 1.15)
= 1 - 0.87493 (Standard normal probability table)
= 0.12507 = 0.1251
Hence the correct option is option (1) which is 0.1251
A standard deviation (or σ) is a proportion of how distributed the information is corresponding to the mean. A low standard deviation implies information is bunched around the mean, and an exclusive requirement deviation demonstrates information is more fanned out.
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what is 3+3?
6
9
3
12
Answer:
6
Step-by-step explanation:
3+3=6
6-3=3
what is 0.06 divided by 8 working out
Answer:
0.0075
Step-by-step explanation:
0. 0 0 7 5
_______________________
8 ÷ 0. 0 6 0 0
− 0
_______________________
0 0
− 0
_______________________
0 6
− 0
_______________________
6 0
− 5 6
_______________________
4 0
− 4 0
_______________________
0
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Johnathan sold hamburgers and hotdogs at the basketball game. each hamburger cost $4.75, and each hot dog cost $2.50. he sells a total of 50 hamburgers and hotdogs. he collects a total of $170. which system of equations can be used to determine how many hamburgers he sold, x, and how many hot dogs he sold, y?
I'm pretty sure it's water bro
write the expression as a single logarithm log{3} 40 -log{3} 10 show all steps very clearly please
Answer:
Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.
a basketball team torunament has 9 teams. every team will place against another team. how many games will there be
Answer:
72 games in total
Step-by-step explanation:
hope this helps :)
Sailman A gets paid $300 a month plus $8 for every sale he makes. Salesman B gets paid $1500 a mont. Write and equation and solve to see how many salesman a must make in order to make the same amount of salesman b
the number of sales by b must be 150 to make the same amount of salesman B.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
given that :
Salesman A gets paid $300 a month plus $8 for every sale he makes :
let the no. of sales A made be : x
then, in order to make the same amount of salesman b we equate btoth the amount :
300 + 8x = 1500
8x = 1500-300
8x = 1200
x = 1200/8
x = 150
Therefore, the number of sales by A must be 150 to make the same amount of salesman b.
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Easy math questions please help!
The length of the side x is derived to be √2/2 using the Pythagoras rule.
What is the Pythagoras rule?The Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The right triangle is also an Isosceles having same base angles so;
x² + x² = 1²
2x² = 1
x² = 1/2
x = √(1/2) {take square root of both sides}
x = 1/√2
x = √2/2 {rationalize}
Therefore, the length of the side x is derived to be √2/2 using the Pythagoras rule.
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If the length of the first room is (2x+7) and the length of the second room is (2x - 1), which expression models the area of the new room once the wall is knocked
down?
6x +12
O
4x2+18
4x2+ 13x-4
4x+18x +18
The expression that models the area of the new room once the wall is knocked down is 4x^2 + 13x - 4.
To find the area of the new room, we need to multiply the length by the width. The length of the first room is given as (2x + 7), and the length of the second room is given as (2x - 1). Since the wall is being knocked down, we can combine the lengths to get the new length of the room, which is (2x + 7) + (2x - 1) = 4x + 6.
Now, we multiply the new length (4x + 6) by the width, which remains the same in both rooms. Let's assume the width is 'w.' So, the area of the new room is (4x + 6) * w.
Since we are not given the width value, we cannot simplify the expression further. Therefore, the area of the new room can be represented as (4x + 6) * w, which is equivalent to 4xw + 6w.
The expression that models the area of the new room once the wall is knocked down is 4x^2 + 13x - 4.
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What is the area of this square?
16 square miles
26 square miles
36 square miles
46 square miles
PLEASE HELP I NEED THIS
Answer:
the answer is b
Step-by-step explanation:
a basketball player shoots 8 free throws during a game. the sample space for counting the number she makes is
the sample space for counting the number of free throws made by the basketball player in the game consists of all the possible combinations of successful and unsuccessful shots, ranging from 0 to 8 makes.
the sample space for the basketball player's free throws is considered.
to determine the sample space, we need to identify all the possible outcomes for the number of successful free throws made by the player. In this case, each free throw can result in either a make or a miss, giving two possibilities for each attempt. With a total of 8 free throws, the sample space will consist of all the combinations of makes and misses, ranging from 0 makes to 8 makes.
For example, the sample space could include outcomes such as {0 makes, 8 misses}, {1 make, 7 misses}, {2 makes, 6 misses}, and so on, up to {8 makes, 0 misses}.
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a standard deck is shuffled and placed on a table. what is the expected number of cards that are next to another card of the same value? (in a standard deck there are 52 cards. there are 13 values (ace, two, three, . . . , nine, ten, jack, queen, king). each value appears on 4 different cards in the deck)
The expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.
To calculate the expected number of cards that are next to another card of the same value in a shuffled standard deck, we can consider the probability of each card being next to another card of the same value.
Let's break down the calculation:
For each card in the deck, there are two adjacent cards (one on each side) that can potentially be of the same value. However, the first and last cards only have one adjacent card each.
For the inner cards (excluding the first and last cards), there are three possibilities for each card:
The card is of the same value as the card to its left and the card to its right.
The card is of the same value as the card to its left but not the card to its right.
The card is of the same value as the card to its right but not the card to its left.
Since each card value appears on four cards in the deck, the probabilities for each of these three possibilities are:
Probability of both adjacent cards having the same value = (3/51) × (3/51) = 9/2601
Probability of only the left adjacent card having the same value = (3/51) × (48/51) = 144/2601
Probability of only the right adjacent card having the same value = (48/51) × (3/51) = 144/2601
Now, let's calculate the expected number of cards next to another card of the same value:
Expected number = (1/52) + (1/52) + (50/52) × (9/2601 + 144/2601 + 144/2601) + (1/52) = 441/2601 ≈ 0.1698
Therefore, the expected number of cards that are next to another card of the same value in a shuffled standard deck is approximately 0.1698.
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what is the fourth step of the risk assessment process? a. determine probability b. estimate severity c. determine current level of preparedness/mitigation d. identify hazards
The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.
The correct option is C.
What exactly is the risk assessment process?A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.
What exactly is the goal of risk assessment?The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.
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evaluate n/12 when n = 48
Answer:
the answer is 4 hope it's helpful
Step-by-step explanation:
Hey there!
n/12
= 48/12
= 48 ÷ 12 / 12 ÷ 12
= 4 / 1
= 4
Therefore, your answer is: 4
Good luck on your assignment and enjoy your day!
~Amphitrite1040
A circle has centre (-3,-4) and a point P(5,2) on its circumference. Determine the equation of the circle expressed in the form x²+y²+ax+by+c=0
The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.
Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.
Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point
P = radius of the circle.
We get
r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10
Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle
(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0
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Calculate the double integral.
3xy2
x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
iintegral.gif
R
the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
∫∫3xy2 dx dy = 16
We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:
∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy
Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:
∫0→1 3xy2 dx = x3y2 + c
Now, we can substitute this expression into the double integral, giving us:
∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy
Finally, we can integrate this expression with respect to y, giving us the following:
∫∫3xy2 dx dy = x3y3 + cy + d
Now, we can substitute the limits of integration into this expression, giving us the following:
∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16
therefore, the double integral is equal to 16.
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calculate the discount factor for one period for an investment given a rate of return equal to 6 percent.
Therefore, the discount factor for one period with a rate of return of 6 percent is approximately 0.9434.
To calculate the discount factor for one period with a rate of return equal to 6 percent, you can use the formula:
Discount Factor = 1 / (1 + Rate of Return)
Substituting the rate of return of 6 percent (0.06) into the formula:
Discount Factor = 1 / (1 + 0.06) = 1 / 1.06 ≈ 0.9434
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for the x-values 1,2,3 and so on, the y values of a function form an arithmetic sequence that decreases in value what type of function is it
A. Decreasing linear
B. Exponential growth
C. Increasing linear
D. Exponential decay
The type of function that fits the given description is D. Exponential decay.
In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.
Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.
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What is the surface area of the rectangular prism?
6 in.Bin.9 in
A.348 in 2
B.432 in.2
C.184 in.2
D.174 in 2
Answer:
348 in^2
Step-by-step explanation:
8 x 9 = 72
6 x 8 = 48
9 x 6 = 54
72 + 72 + 48 + 48 + 54 + 54
348