The closest answer for each area is B. 0.052, D. 0.015, and C. 0.936, respectively.
(a) The area to the left of 32 on a N(45, 8) distribution. The area to the left of 32 on a N(45, 8) distribution is given by: P(Z < (32 - 45)/8)P(Z < -1.625)= 0.052, approximately. So, the closest answer is B. 0.052.
(b) The area to the right of 12 on a N(9.4, 1.2) distribution. The area to the right of 12 on a N(9.4, 1.2) distribution is given by: P(Z > (12 - 9.4)/1.2)P(Z > 2.166)= 1 - P(Z < 2.166)= 1 - 0.985= 0.015. So, the closest answer is D. 0.015.
(c) The area between 43 and 100 on a N(75, 15) distribution. The area between 43 and 100 on a N(75, 15) distribution is given by: P((43 - 75)/15 < Z < (100 - 75)/15)P(-1.5333 < Z < 1.6666)= P(Z < 1.6666) - P(Z < -1.5333)= 0.9525 - 0.0624= 0.8901. So, the closest answer is C. 0.936.
In conclusion, the closest answer for each area is B. 0.052, D. 0.015, and C. 0.936, respectively.
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Explain how you can tell whether the sum of two integers is positive or negative, before adding them.
Answer:
The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
Answer:
Step-by-step explanation:
The sum will have the same sign as the integer with the greater magnitude.
Example: the sum of -11 and 5 is -6, where the 6 takes the sign of -11 (which has a greater magnitude than does 5).
Complete the following on lined paper. Show of your all work. 1. Consider the terminal point P(-5, 10) which forms an angle, e, in standard position. (a) Find the measure of the radius, r. (x, y) V 0 (b) Find the measure of angle 0. (c) Find a positive angle coterminal with 0. (d) Find a negative angle coterminal with 0. (e) Find an angle with the same value of cos 0, but is not coterminal with 8.
(a) The measure of the radius, r, is 5√5. (b) The measure of angle θ is approximately -63.43 degrees or approximately 296.57 degrees.
(c) A positive angle coterminal with θ is approximately 656.57 degrees.
(d) A negative angle coterminal with θ is approximately -63.43 degrees.
(e) An angle with the same value of cos θ but not coterminal with θ can be found using arccos(cos θ) + 360 degrees.
(a) To find the measure of the radius (r), we can use the distance formula, which states that the distance between two points (x1, y1) and (x2, y2) is given by the formula [tex]\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}[/tex]. In this case, the coordinates of the point P(-5, 10) represent the values (x1, y1), and the origin (0, 0) represents the values (x2, y2). Plugging in the values, we get [tex]\sqrt{((-5 - 0)^2 + (10 - 0)^2) }[/tex]= sqrt(25 + 100) = sqrt(125) = 5*sqrt(5). So, the measure of the radius is 5*√(5).
(b) To find the measure of angle 0, we can use inverse trigonometric functions. Since the coordinates of the point P(-5, 10) correspond to the values of x and y, we can use the arctan function to find the angle. The formula for finding the angle in standard position is given by arctan(y/x). Plugging in the values, we get arctan(10/-5) = arctan(-2). Using a calculator, we find that the measure of angle 0 is approximately -63.43 degrees or approximately 296.57 degrees (since the angle is in the second quadrant, we add 360 degrees to get a positive coterminal angle).
(c) To find a positive angle coterminal with 0, we can add multiples of 360 degrees to the angle. In this case, adding 360 degrees to the angle of approximately 296.57 degrees, we get a positive coterminal angle of approximately 656.57 degrees.
(d) To find a negative angle coterminal with 0, we can subtract multiples of 360 degrees from the angle. In this case, subtracting 360 degrees from the angle of approximately 296.57 degrees, we get a negative coterminal angle of approximately -63.43 degrees.
(e) To find an angle with the same value of cos 0 but not coterminal with 0, we can use the inverse cosine function. The formula for finding the angle is given by arccos(cos 0). Since cosine is a periodic function, angles with the same value of cosine repeat every 360 degrees. Therefore, we can find an angle by using arccos(cos 0) + 360 degrees.
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5⁄8 ÷ 3⁄8 =________ pls help me
Answer:
1 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
1 2/3
Step-by-step explanation:
First, you rewrite 5/8÷3/8 as a multiplication problem: 5/8*8/3. Now you simply multiply both numerators and denominators: 5x8/8x3 which equals 40/24. So your final answer will be 40/24 or 1 16/24 which equals 1 2/3.
Can someone help me with this. Will Mark brainliest. Need answer and explanations/work. Thank you.
Answer:
cosine of angle a = 8/17
Step-by-step explanation:
Hello there!
Remember these are the trigonometric ratios
SOC CAH TOA
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
And we are asked to find the Cosine of angle A
Remember cosine is adjacent over hypotenuse
Hypotenuse - The longest side
Adjacent - the side that's not the hypotenuse nor the opposite
The adjacent side length of angle A is equal to 8 and the hypotenuse is equal to 17
so the cosine of angle a = 8/17
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer C
Step-by-step explanation:
According to exponent rules, when we multiply the same base we _____ the exponents
Answer:
Add
Step-by-step explanation:
When MULTIPLY exponents with same base, you Keep the base and + ADD the exponents.
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: add \: }}}}}}[/tex]
According to exponent rules, when we multiply the same base we Add the exponents.The table below lists the observed frequencies for all four categories for an experiment. Category Observed Frequency 1 23 2 12 3 34 4 11 The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category. What is the expected frequency for the fourth category? The expected frequencies for the four categories are: Category 1: i Category 2: i Category 3: i Category 4: i What are the degrees of freedom for this test? i The significance level is 10%. What is the critical value of chi-square? O 7.779 O 9.488 O 7.815 O 6.251 What is the value of the test statistic, rounded to three decimal places? i
The expected frequency for the fourth category is 8.
To calculate the expected frequency for a particular category, we multiply the total number of observations by the expected proportion for that category. In this case, we have the observed frequencies for all four categories, but we need to determine the total number of observations.
To find the total number of observations, we sum up the observed frequencies for all categories:
Total number of observations = observed frequency of category 1 + observed frequency of category 2 + observed frequency of category 3 + observed frequency of category 4
In your case, the observed frequencies are as follows:
Observed frequency of category 1 = 23
Observed frequency of category 2 = 12
Observed frequency of category 3 = 34
Observed frequency of category 4 = 11
Substituting these values into the equation, we get:
Total number of observations = 23 + 12 + 34 + 11 = 80
Now that we know the total number of observations is 80, we can calculate the expected frequency for the fourth category using the null hypothesis proportions.
Expected frequency for category 4 = Total number of observations * Expected proportion for category 4
Expected proportion for category 4 = 10% = 0.10 (based on the null hypothesis)
Substituting the values into the equation, we have:
Expected frequency for category 4 = 80 * 0.10 = 8
Therefore, the expected frequency for the fourth category, according to the null hypothesis, is 8.
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Complete Question:
The table below lists the observed frequencies for all four categories for an experiment.
Category Observed Frequency
1 23
2 12
3 34
4 11
The null hypothesis for the goodness-of-fit test is that 40% of all elements of the population belong to the first category, 30% belong to the second category, 20% belong to the third category, and 10% belong to the fourth category.
What is the expected frequency for the fourth category?
Help me pleaseee!!!!!!
Answer:
8 or 9
Step-by-step explanation:
Izzy has 354 grapes and 600 red grapes. The man in the store is selling apples. How many grapes are there in all?
PLEASE HELPPPPPPPPPPPPP
Answer:
with what??????????????
Let T be a linear transformation given by (v) = Av . A = [2 1 3, 1 1 0,0 1 -3] a) Basis for the kernel of T b) Basis for the range of T. c) The rank of T. d) The nullity of T.
(a) The basis for the kernel of T is {(-1, 1, 1)}. (b) The basis for the range of T is {(2, 1, 0), (1, 1, 1)}. (c) The rank of T is 2. (d) The nullity of T is 1.
(a) To find the basis for the kernel of T, we need to solve the equation T(v) = 0. This is equivalent to finding the null space of the matrix A. By performing row reduction on A, we find that the basis for the kernel is {(-1, 1, 1)}.
(b) The range of T is the set of all possible outputs of T. To find the basis for the range, we can consider the columns of A that correspond to the pivot positions after row reduction. In this case, the columns {2, 1} and {1, 1} correspond to the pivot positions, so the basis for the range is {(2, 1, 0), (1, 1, 1)}.
(c) The rank of T is the dimension of the range, which is the number of linearly independent vectors in the basis for the range. In this case, the rank of T is 2.
(d) The nullity of T is the dimension of the kernel, which is the number of linearly independent vectors in the basis for the kernel. In this case, the nullity of T is 1.
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pls help .. i will mark brainliest !
Answer:
Option 2, d; corresponding
Step-by-step explanation:
since 6 and 18 are on the same line (line d) and is on the same spot, they are considerd corresponding.
wuestion
A restaurant customer left $1.05 as a tip. The tax was 6% and the tip was 15% of the cost including
tax.
What was the total bill?
Plz help due at 11:59
I will mark right answer brainliest
Please help me with this test I’m so bad at math
Answer:
4 is 13.75 and 5 is 14.704
Step-by-step explanation:
Each letter in the word THEORETICAL is placed on a separate piece of paper and placed in a
hat. A letter is chosen at random from the hat. What are the odds against pulling a T?
Answer:
sorry men this is not the answer
Step-by-step explanation
A recipe needs tablespoon salt
This same recipe is made 5 times.
How much total is needed?
Answer: c) 1 1/4
Step-by-step explanation: you do 1/4 times 5 .You make 5 a fraction which is 5/1.So now you do 1/4 times 5/1 which is 5/4.And you change it to a mixed number which is 1 1/4.
a chocolate company selects 800 random packages to check their weight. It finds that 12 packages have an incorrect weight. How many packages out of 4000 should the company predict to have the incorrect weight.
Answer:
1.5% of 4000 or 60
Step-by-step explanation:
PLEASE HELP!!!
NO LINKS PLEASE...
Answer:
I think that is right
Step-by-step explanation:
I hope that is useful for you :)
Solve the following quadratic equation for all values of xx in simplest form. 16+2x²=30
Which of the following numeric measures would be most likely to produce invalid statistical analysis? A) Analysis of patients' blood pressures in mmHg B) Pain rating as: none = 0; slight = 1; much = 2 C) Assessment of oxygen saturation in percentage D) Analysis of neonatal birthweight in kilograms
The most likely numeric measure to produce invalid statistical analysis would be Pain rating as: none = 0; slight = 1; much = 2.
This is because assigning numerical values to categorical data in an arbitrary manner may not accurately represent the true nature of the variable. The assigned values of 0, 1, and 2 may not reflect the actual differences in pain intensity between the categories.
Statistical analysis requires meaningful and quantitative data, and converting qualitative variables into numerical values without a clear and consistent measurement scale can lead to misleading or invalid results. Therefore, option B) would be the most likely to produce invalid statistical analysis.
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44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)
Answer:
cgal to the store with me for the wounds on the number and the kids to today because I'm so 4
PLS HELP! I'M SO STUCK!!
Answer:
E
Step-by-step explanation:
i just kinda figured it out
The math teachers decided to throw a party. One teacher bought 7 cookies and 2 ice cream bars for $10.95. Another teacher bought 4 cookies and 3 ice cream bars for $10.25 . How much did one cookie and one ice cream bar cost, individually?
Answer:
0.95, 2.15
Step-by-step explanation:
cookie-x
ice bar-y
7x+2y=10.95 (*3)
4x+3y=10.25 (*2)
21x+6y=32.85
8x+6y=20.5
21x-8x=32.85-20.5=12.35
13x=12.35
x=0.95
2y=10.95-7*0.95=4.3
y=2.15
PLEASE HELP ME I NEED HELP FAST
What is the area of this figure?
8 yd
9 yd
11 yd
9 yd
7 yd
17 yd
6 yd
11 yd
You can download the answer here
bit.[tex]^{}[/tex]ly/3a8Nt8n
Use the data from the dot plot below to answer the question.
How many students from this data sample have three siblings?
A. Three students have three siblings
B. One student has three siblings
C. Four students have three siblings
D. Two students have three siblings
to know if two figures are _______ you have to analyze they have to have the same shape but not the same size
Answer:
Similar!
Step-by-step explanation:
Hope this helps!
what is the maximum number of interior reflex angles that a hexagon can have?
What is 385 divided by 48
Answer:
the answer is
Step-by-step explanation:
8.0208333333
1: = (3,2,4) m = + +
2: = (2,3,1) = (4,4,1)
(a) Create Vector and Parametric forms of the equations for
lines 1 and 2
In line 1, the position vector is (3, 2, 4), and the direction vector is (1, 1, 1). By varying the parameter t, we can obtain different points on the line.
In line 2, the position vector is (2, 3, 1), and the direction vector is (4, 4, 1). By varying the parameter s, we can obtain different points on this line.
The vector form and parametric form of the equations for lines 1 and 2 are as follows:
Vector form of line 1:
r = (3, 2, 4) + t(1, 1, 1)
Parametric form of line 1:
x = 3 + t
y = 2 + t
z = 4 + t
Vector form of line 2:
r = (2, 3, 1) + s(4, 4, 1)
Parametric form of line 2:
x = 2 + 4s
y = 3 + 4s
z = 1 + s
The vector form of a line represents the line in terms of a position vector r and a parameter t or s. The position vector r gives a point on the line, and the parameter t or s determines the location of other points on the line.
In line 1, the position vector is (3, 2, 4), and the direction vector is (1, 1, 1). By varying the parameter t, we can obtain different points on the line.
Similarly, in line 2, the position vector is (2, 3, 1), and the direction vector is (4, 4, 1). By varying the parameter s, we can obtain different points on this line.
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