There is very strong evidence to reject the null hypothesis, and to conclude that the machine gives radiation doses lower than the maximum on the label.
What is hypothesis testing?Hypothesis testing is a statistical method used to test a claim or a hypothesis about a population parameter, based on a sample of data. The goal of hypothesis testing is to determine whether there is enough evidence in the sample data to support or reject a claim about a population.
What is t-test?A t-test is a type of statistical hypothesis test that compares the mean of a sample to a known population mean. There are different types of t-tests, depending on the design of the study and the number of samples being compared.
To test the claim that the machine gives a radiation dose lower than the maximum on the label (5.00 milliroentgens), we can use a one-sample t-test. A one-sample t-test compares the mean of a sample to a known population mean (in this case, the maximum on the label). The null hypothesis for this test is that the mean radiation dose given by the machine is equal to or greater than the maximum on the label (5.00 milliroentgens). The alternative hypothesis is that the mean radiation dose given by the machine is less than the maximum on the label.
The test statistic for a one-sample t-test is:
t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
Plugging in the given values:
t = (4.23 - 5.00) / (1.91 / sqrt(46)) = -4.05
We can use a t-distribution table to find the p-value associated with this test statistic. With 45 degrees of freedom (sample size - 1), the p-value for t = -4.05 is extremely low, much less than 0.001, the significance level commonly used in hypothesis testing.
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PLZZZ HELPPP ILL GIVE BRAINLIEST
Answer:
45
Step-by-step explanation:
when a = 6 , b =2
2a^2/ b^3 + b(2a+6)
=2(6)^2/ (2)^3 +(2)[2(6)+6)
=45
The measurement of angle DBE is 0.1x-33 and the measurement of angle CBE is 0.3x-39 what's the value of x
Answer:
x = 405
Step-by-step explanation:
DBE is 0.1x-33 and the measurement of angle CBE is
The sum of both angles form a right angled triangle ;
DBE + CBE = DBC
DBC = RIGHT angled triangle = 90°
(0.1x-33) + (0.3x - 39) = 90°
0.1x - 33 + 0.3x - 39 = 90°
0.1x + 0.3x - 33 - 39 = 90
0.4x - 72 = 90
0.4x = 90 + 72
0.4x = 162
x = 162 / 0.4
x = 405
What is the distance between the points (3,7) and (-2, 10)
Answer:
√34
Step-by-step explanation:
To find the distance between two points, you can use the distance formula, which is:
d = √[(x2 - x1)^2 + (y2 - y1)^2]
We can plug in the points (3, 7) and (-2, 10) to get:
d = √[(-2 - 3)^2 + (10 - 7)^2]
We can simplify.
d = √[(-5)^2 + (3)^2]
d = √(25 + 9)
d = √(34)
d = √34
Change the following mixed numbers to improper fractions
a) 4 3/8 b) 2 1/3 c) 5 2/5
Answer:
A.35/8
B.7/3
C.27/5
those r the improper fractions of the mixed fractions
Given square ABCD, what is the length of AD?
Let A, B and C represent distinct non-zero digits. Suppose x is the sum ofall possible 3-digit numbers formed by A, B and C without repetition.Consider the following statements1. The 4-digit least value of x is 1332.2. The 3-digit greatest value of x is 888.Which of the above statements islare correct?
Statement 1 is correct and Statement 2 is not correct.
As A, B and C represent distinct non-zero digits
For least value of x
Let A=1, B=2, C=3
The possible numbers that can be formed using 1,2,3 are 6 {using permutations}
123, 132, 213, 312, 231, 321
x is the sum of all possible 3-digit numbers formed by A, B and C without repetition so
x= 123+ 132+ 213+ 312+ 231+ 321
x=1332
So statement 1 is correct
statement 2 cannot be correct as least value of x is 4-digit so greatest value of x cannot be a three digit number.
The 4-digit least value of x is 1332 so Statement 1 is correct and Statement cannot be correct.
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PLEASE HELP DUE IN 1 HOUR, AND PLEASE DON'T PUT THOSE LINKS OR ELSE I WILL REPORT YOU.
Answer:
h ≤ 16
Step-by-step explanation:
If he plans to cook 16 of less hotdogs, h is going to be equal to or less than 16. The circle is closed because he could cook 16.
Answer:
For the first question it would be answer 4
Since they ask you "at most 16 hot dogs," that means that it has to be less than or equal to 16.
For the second question, you would put the endpoint on 16 and make the arrow going left.
Hannah either walks or cycles to school. The probability that she walks to school is 0.75 If she walks, the probability that she is late is 0.6 If she cycles, the probability that she is late is 0.2 Work out the probability that on any one day Hannah will not be late for school.
If Hanna is walking there is a 0.4 chance of not being late. 0.75 x 0.4 = 0.3 probability of not being late.
If Hanna cycles there is a chance of 0.8 of not being late. 0.6 x 0.8 = 0.48.
0.48 + 0.3 = 0.78.
In other words, there is a 78% probability of her not being late.
1. What is the sum of the interior angles of a quadrilateral?
Answer:
360 degrees
Step-by-step explanation:
Answer:
360°
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is 360°
For every 150 dogs, there are 300 cats. write this ratio in simples form in all three ways.
Answer:
Step-by-step explanation:
150 : 300
In simplest form
1 : 2
In fraction form
1/2
In decimal form
0.5
Answer:
1:2 1/2 1÷2
Step-by-step explanation:
divide both of them by 150. You get 1:2, which can be converted to 1/2 and 1÷2
jaxon is ordering a taxi from an online service. the taxi charger 4$ just for the pickup and then an additional $0.75 per mile driven. how much would a taxi ride cost that is m miles long?
Answer:
i think you asking for a equation if so here
hope it helps brainiest?
Step-by-step explanation:
x=total cost
x=0.75m+4
PLEASE HELP I AM DESPERATE!
Question is in the picture please help!!!
Answer:
(a) (5, 9)
Step-by-step explanation:
You want the solution to the system ...
x = 5y = 2x -1SolutionThe value of x is already given, so no work is required to find that.
The value of y is found by using that value of x in the equation for y:
y = 2x -1
y = 2·5 -1 = 10 -1 = 9
The solution is (x, y) = (5, 9).
What are the different types of algorithms?
Different types of algorithms are:
Brute Force algorithm Greedy algorithmRecursive algorithmBacktracking algorithmWhat is Brute Force algorithm?As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search—also referred to as generate and test—involves iteratively listing all potential candidates for the solution and determining whether each one satisfies the problem's statement.
A brute-force algorithm would count all integers from 1 to n and determine whether each one divides n without a remainder in order to find the divisors of a natural number n.
For the eight queens puzzle, a brute force method would look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece could engage in mutually exclusive attacks for each configuration.
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In the right triangle shown, mZA = 45° and AB = 12.
B
12
45
How long is BC?
Answer:
6sqrt(2)=8.5
Step-by-step explanation:
Using pythagoras theorem
The measure of BC is 8.486 unit.
What is Trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given angle is 45 degree.
Hypotenuse = 12 unit
Now, using Trigonometry
sin 45 = P/ H
sin 45 = BC / 12
0.707 = x/ 12
x = 8.486 unit
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The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,256)
Answer:
P(x) = ([tex]\frac{2}{5}[/tex])x(x + 3)(x - 1)²
Step-by-step explanation:
Given - The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-3. It goes through the point (5,256)
To find - Formula for P(x) ?
Proof -
Given that,
P(x) has a root of multiplicity 2 at x=1
So,
(x - 1)² is a factor.
Now,
Given that, there is roots of multiplicity 1 at x=0 and x=-3
So,
(x - 0) and ( x - (-3) are also factor
So,
P(x) can be written as
P(x) = Ax(x + 3)(x - 1)² .........(1)
where A is a constant.
Now,
Given that, It goes through the point (5,256)
⇒At x = 5, P(x) = 256
So,
Put the values of x and P(x) in equation (1), we get
P(x) = Ax(x + 3)(x - 1)²
⇒256 = A(5)(5 + 3)(5 - 1)²
⇒256 = 5A(8)(4)²
⇒256 = 40A(16)
⇒256 = 640 A
⇒A = [tex]\frac{256}{640}[/tex] = [tex]\frac{2}{5}[/tex]
∴ we get
P(x) = ([tex]\frac{2}{5}[/tex])x(x + 3)(x - 1)²
True or False: The point (0, 3) lies on the x-axis.
Answer:
false
Step-by-step explanation:
(x,y)
if the first cord is 0 its on y
is the second cord is 0 its on x
Answer: True
Since the x-coordinate being 0, the point lies on the y-axis. The y-coordinate =+3 being positive, the point lies on the +ve y-axis.
Step-by-step explanation: Hope this help :D
Solve for h.
h/ 6 - 1 = 3 h =
HELP ASAP
The quadrilateral below is a trapezoid
Answer:
Step-by-step explanation:
9x+2+5x-4=180
14x-2=180
14x=80+2
x=182/14
x=13
angle B=5x-4
=5*13-4
=65-6
=61
the ratio of red to grern to blue sweets in a packet is 2:3:1. if there are 18 green sweets, how many blue sweets are there??
what is 37 and 4/8 rounded to the nearest whole number
Answer:
38
Step-by-step explanation:
Answer:
38
Step-by-step explanation:
please help quickly
The polygons are similar. x = ___ Write your answer as a decimal
By using the fact that the two images are similar, we can write and solve a linear equation to get x = 3/2.
How to find the value of x?We know that the two figures are similar, then, if we take the quotient between the adjacent sides for both figures, these quotients should give the same value.
Thus, we can write the equation:
14/10 = (x + 9)/(x + 6)
Now we can solve that equation for x, if we multiply both sides by (x + 6) we will get:
(14/10)*(x + 6) = x + 9
Now we can multiply both sides by 10 to get:
14*(x + 6) = 10*(x + 9)
14x + 84 = 10x + 90
Now we can solve this linear equation for x.
14x - 10x = 90 - 84
4x = 6
x = 6/4
x = 3/2
That is the value of x.
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Ricardo's town recently voted on a new education funding package. Of the voters who voted for the bill, 20% voted for it. What fraction of the voters voted in favor of the measure?
Enter the fraction in simplest form.
The fraction of the voters who voted in favor of the measure will be 1/5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Ricardo's town recently voted on a new education funding package. Of the voters who voted for the bill, 20% voted for it.
The fraction of the voters who voted in favor of the measure will be given as,
⇒ 20%
⇒ 20 / 100
⇒ 1 / 5
The fraction of the voters who voted in favor of the measure will be 1/5.
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What is the x in 4x+20?
Answer:
the answer is 5 because if you divide it its your answer
Answer:
x=-5
Step-by-step explanation:
Set " 4x+20" equal to 0 (4x+20=0)
Do the opposite operation of 20 (in this case is subtraction) and subtract 20 from both sides (4x+20-20=0-20).
You'll be left with 4x=-20.
Divide both sides by 4 (4x/4=-20/4).
4 divided 4 equals x.
-20 divided by 4 equals -5.
x=-5.
Hope this was helpful.
For what value of k the given equation 4 K X² 2k 4 x+ 8k+ 1 0 is a perfect square?
For k=0 or k=3, the given equation will be a perfect square.
Note: we are taking the equation to be: (4−k) X^2+(2k+4) x+8k+1=0
Taking,
(4−k) X2+(2k+4) x+8k+1=0
Here, a=4+k, b=2k+4, c=8k+1
The given equation will be a perfect square, When D= 0
We know, D = b^2−4ac [A perfect square trinomial is an expression that can be generated from the square of a binomial equation. If an equation has the formula ax^2 + bx + c and meets the requirement b^2 = 4ac, it is referred to as a perfect square trinomial. The formula for the perfect square has the following variations: ax2 + 2abx + b2 = (ax + b). When b^2 = 4ac, we know that an equation is a perfect square.]
b2−4ac=0
(2k+4)2−4(4−k) (8k+1) =0
4k2+16+16k−4(32k−8k2+4−k) =0
K2+4+4k−32k+8k2−4+k=0
9k2−27k = 0
K2−3k = 0
k(k−3) =0
k=0 or k=3
Hence for k=0 or k=3, the given equation will be a perfect square.
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Given that y varies indirectly as x and that x = 15 when y = 3, then the value of k is
Answer:
Step-by-step explanation:
the equation of this function has the form y = k/x, and when x = 15 and y = 3, the value of k can be calculated as follows:
3 = k/15, or (by multiplying both sides by 15) k = 45
Then y = 45/x
Joules and calories are two different units of energy. The equation j=0. 239c relates the measures, where c stands for calories and j stands for joules. Complete the table
To complete the table, we can simply multiply the number of calories by 0.239 to find the equivalent amount of Joules.
The equation relates Joules to calories as j = 0.239c, where c stands for calories and j stands for joules. For example, 1 calorie is equal to 0.239 Joules, 2 calories is equal to 0.478 Joules, and so on.
Joules (j) Calories (c)
0.239c 1
0.478c 2
0.717c 3
0.956c 4
1.195c 5
1.434c 6
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Complete each nuclear fission reaction. 235 92 u 1 0 n → 90 36 kr a 56 ba 3 1 0 n a: 239 94 pu 1 0 n → b c ba 91 38 sr 3 1 0 n b: c:
a: 235 92 U + 1 0 n → 90 36 Kr + 141 56 Ba + 3 1 0 n
b: 239 94 Pu + 1 0 n → 96 38 Sr + 143 55 Ba + 3 1 0 n
c: It is not possible to complete this nuclear fission reaction as it is not a valid input. There is no nuclide with the atomic number 94 and mass number 239.
What is nuclear fission?Nuclear reactions are those that involve the nucleus of an atom. Nuclear fission involves the splitting of an atomic nucleus and the formation of two distinct atomic species.
Nuclear fission is a nuclear reaction in which the nucleus of an atom is split into two or more smaller nuclei, along with the release of a large amount of energy. In the first reaction, an atom of Uranium-235 (U-235) is hit by a neutron, which causes the nucleus to split into Krypton-90 (Kr-90) and Barium-141 (Ba-141) along with 3 neutrons. In the second reaction, an atom of Plutonium-239 (Pu-239) is hit by a neutron, which causes the nucleus to split into Strontium-96 (Sr-96) and Barium-143 (Ba-143) along with 3 neutrons.
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can someone help me plssss. ill give u extra points like 50
Someone help me out my grade are bad
Answer:
-26Step-by-step explanation:
x - 4y =
-2 - (6 x 4) =
-2 - (24) =
-2 - 24 =
-26
Hope that helps! :)
-Aphrodite
PLS HELP ASAP 50 POINTS!!!!
Triangle ABC is congruent to triangle PDF. Dude AC corresponds to what side in triangle PDF
Answer:
PF
Step-by-step explanation:
Since the triangles are congruent, meaning they are the same shape, we can just match the lines between the two triangles. In triangle ABC, the line AC is the hypotenuse of the triangle. So, we need to find the hypotenuse of the triangle PDF. Looking, we can see the hypotenuse of the triangle PDF is the line, or side, PF.
Hope this helped!