Answer:
-2 - 7 i
Srry If Im wrng but Hope this helped :)
Answer:
It is -2-7i
Step-by-step explanation:
A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex] = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130
Evaluate 5 + 8x when x = 2
A statement and a proposed negation are given below. Statement: The product of any irrational number and any rational number is irrational. Proposed negation: The product of any irrational number and any rational number is rational. Which of the following correctly describes the relation between the statement and the proposed negation? The proposed negation is correct. The proposed negation is not correct. A possible correct negation would be: There is not an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There does not exist an irrational product of any irrational number and any rational number. The proposed negation is not correct. A possible correct negation would be: There is an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There exists an irrational product of an irrational number and a rational number.
Answer:
The proposed negation is not correct. A possible corect negation woulld be: There is an irrational number and, a rational number whose product is rational.
Step-by-step explanation:
From the given information above:
STATEMENT: "The product of ANY irrational number and ANY rational number is irrational".
From the above statement, the word "ANY" is very vital. Let assume we choose an element x from a particular set X of irrational numbers, as well as an element y from the set Y of a rational number, therefore, the statement has a use case and applies to every x and y element. Thus, in an effective mathematical way, the statement typically implies "for all x in set X and for all y in set Y, the product x*y is irrational.
However; from the negation of the "for all" statement is "there exists" (any text in discrete arithmetic will assist you to become fully aware of this fact). Any ramifications in the statement is likewise negated, i.e; if the statement infers that the resulted product of x and y is irrational, at that point the negation(invalidation) infers that the item isn't irrational. For example, it is rational. At the point when we set up every one of these facts, we get:
"There exist an element x in the set X, in addition to that; there exists an element y in set Y; x*y is rational".
If we express that into the option given; the right option is:
"There exist an irrational number and a rational number whose product is rational"
Paula kitten weighs 3 1/2 pounds write this weight in the boxes using pounds and ounces.
Answer:
Step by step explanation
First, we have to convert 3 1/2 into a decimal, so we have to do the following:
1/2 = 1 divided by 2 3 1/2 = 3 + (1÷2) = 0.5 (1 ÷ 2 done by long division)
Then we add the whole number.
3 + 0.5 = 3.5
Next, we multiply
3.5 x 16 = 56 ounces.
Answer:
3 pounds and 8 ounces
Step-by-step explanation:
1 pound (lbs) = 16 ounces (oz)
Using both pounds and ounces, the problem is asking us to eliminate the decimal and substitute it for the number of ounces (a smaller unit than pounds)
So we know it is 3 pounds, but what is half a pound equal to in terms of ounces?
Remember 1 lb = 16 oz, so 1/2 of a lb = half of 16 oz
Half of 16 (or 16 ÷ 2) equals 8
Therefore, half a pound equals 8 ounces
Combining the two units together means the boxes weigh 3 pounds and 8 ounces
What value will make the equation true -21 - ? = 1and1/2
Answer:
the answer would be -21 - (-22 1/2)= 1 1/2
The value that will make the equation true would be -21 - (-22 1/2)= 1 1/2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that the equation as;
-21 - (-22 1/2)
Now the mixed fraction is 22 1/2 = 45/2
The difference of the equation is;
-21 - (-22 1/2)
-21 - (-45/2)
= 1 1/2
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
x/-7 +14 >/ 16
show your work
include a number line
9514 1404 393
Answer:
x ≤ -14
Step-by-step explanation:
We assume you want to solve ...
x/(-7) +14 ≥ 16
Subtract 14, then multiply by -7.
x/(-7) ≥ 2 . . . . subtract 14
x ≤ -14 . . . . . . multiplying by a negative number reverses the inequality
The solution is shown on the number line below.
Tom needs AT LEAST $400 for a new video game system. He already has $120. He earns $8 an hour at his job. Solve the equality.
Answer:
428
Step-by-step explanation:
Hayden has 90 trading cards
Answer:
9
Step-by-step explanation:
90/10 =9
] 1) Convert the number 2,371,875,908 to scientific notation.
Answer:
2.3718759×10^9
Step-by-step explanation:
Its the answer
Answer:
2.371875908 × 109 is ur answer.
Step-by-step explanation:
hope this helps!
~mina
Solve for pizza in the pie chart!
Answer:
24
Step-by-step explanation:
30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24
Answer:
The answer is 24 students
Step-by-step explanation:
The pizza section of the pie chart is 30% and the total amount of students is 80 so you just have to find 30% of 80. You find this by multiplying 80 times .3 . Then you will get 24.
Expand. Put the boxes in order to show the correct expansion.
Response 4 should be + or -
loga z5y3 =
:: log
:: logi
:: logs
:: logs
:: 5
:: 3
:: 4
:: y3
Answer:
Box-4 → (+)
Step-by-step explanation:
To find the value in the 4th box, we will expand the given logarithmic expression.
log₄x⁵y³ = log₄x⁵ + log₄y³
= 5log₄x + 3log₄y
Therefore, each box will have the values as,
Box-1 → 5
Box-2 → log₄
Box-3 → x
Box-4 → (+)
Box-5 → 3
Box-6 → log₄
Box-7 → y
There is the (+) sign in Box-4.
Suppose that two high school students decide to see if they get the same results as the
researcher. They both do 30 minutes of aerobic exercise and, immediately following the
exercise, take the test. The mean of their scores is = 25.2 seconds, the same as that of the
publication article. It is appropriate to conclude which of the following?
Complete question is;
A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.
H0 : μ = 25, Ha : μ > 25
To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.
It is appropriate to conclude which of the following?
Select one:
A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
D. None of the above
Answer:
D. None of the above
Step-by-step explanation:
We see that the researcher wants to test the hypotheses;
Null hypothesis; H0 : μ = 25,
Alternative hypothesis; Ha : μ > 25
Population mean = 25 and standard deviation σ = 4
After testing a sample of 1000 students, he discovered that;
Sample size; n = 1000
Sample mean; x¯ = 25.2
After calculations, he got P-value as less than 0.0001.
Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.
Thus, none of the options are correct.
Kym used the integer tiles to find the sum of (–3)+6.The line showed that the answer is negative 3.Which of the following does Kym need to do to get the correct answer
Answer:I need points
Step-by-step explanation:
adsfnsafasfj;ljfdksfas;lfkjdf;lksdfjsdlksfajf
Answer:
remove the zero pairs
so B
Step-by-step explanation:
The least common multiple of 3, 4, 6, and 8 is
Answer:
24 is the least common multiple of 3, 4, 6, and 8 is
alex, bella, cara share £90; work how much each of them have if:
alex has £x
bella has 3 times as much as alex
cara has £10 less than alex
Step-by-step explanation:
given,
alex = x
bella = 3x
cara = x - 10
and also given,
[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]
Given x = £20,
Alex = £x = £20
Bella = £3x = £3x20 = £60
Cara = £(x-10) =£(20-10) =£10
The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters
Answer:
B
Step-by-step explanation:
The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88
Answer:
B
Step-by-step explanation:
the circumference of a circle is
2×pi×r
with r being the radius (half the diameter).
2r is then the diameter.
so, in our case the circumference is
42×pi = 42 × 3.14 = 131.88 mm
You have two pitchers and each can contain 600 ml of liquid. One pitcher is one-third full and contains vinegar. The other pitcher is two-fifths full of vinegar. Oil is added to fill each pitcher completely. The contents of each pitcher are poured into one large container. What fraction of the mixture in the large container is vinegar?
Answer:
answera c
Step-by-step explanation:
SALE
75% off
original price!
The original price of a red clay pot is $40. What is the sale price?
Is this correct? Or are the numbers wrong
Answer:
I think that's right. But the angle in the corner actually might be the 28 degrees. One sec this question is a little confusing
Step-by-step explanation:
A store is having a sale on jelly beans and almonds. For 2 pounds of jelly beans and 3 pounds of almonds, the total cost is $11. For 4 pounds of jelly beans and 8 pounds of almonds, the total cost is $25. Find them cost for each jelly beans and each pound of almonds.
One diagonal of square EFGH is shown on the coordinate grid.
G
0
4 5 6
Which of the following statements is correct?
A А. The location of point F could be (1,6) because diagonals of a square are congruent and perpendicular.
B. The location of point F could be (-1, 6) because diagonals of a square are similar and perpendicular.
C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.
The location of point F could be (1,6) because diagonals of a square are similar and perpendicular.
D.
Answer:
C. The location of point F could be (-1,6) because diagonals of a square are congruent and perpendicular.
Step-by-step explanation:
I took the quiz. I hope this helps :)
pdf Ron, Sue, and Ted arrive at the beginning of a professor’s office hours. The amount of time they will stay is exponentially distributed with means 1, 1/2, and 1/3 hours. (a) What is the expected time until only one student remains? (b) For each student, find the probability they are the last student left. (c) What is the expected time until all three students are gone?
Answer:
a) 0.45 hours
b)
P( Ron ) = 7/12
P( sue ) = 4/15
P(Ted ) = 3/20
c) 1.22 hours
Step-by-step explanation:
Ron , sue and Ted
mean values = 1, 1/2 , 1/3 hours
a) determine the expected time until only one student remains
E(x) = 9/20 = 0.45 hours
b) Probability that each student is the last student left
P( Ron ) = 7/12
P( sue ) = 4/15
P(Ted ) = 3/20
C) Time until all students are gone
= 146 / 120 = 1.22 hours
attached below is the detailed solution
This question is based on the concept of probability.Therefore, the answers are as follows:
(a) 0.45 hours
[tex]\bold{(b) \, P(Ron) = \dfrac{7}{12} ,P (Sue) = \dfrac{4}{15} ,P(Ted) = \dfrac{3}{20}\beta}[/tex]
(c) 1.22 hours
Given:
The amount of time they will stay is exponentially distributed with means 1, 1/2, and 1/3 hours.
According to the question,
The amount of time they will stay is exponentially distributed with means 1, 1/2, and 1/3 hours.
(a) The expected time until only one student remains,
[tex]E(X) = \dfrac{9}{20} = 0.45 \,hours[/tex]
(b) Now, find the probability they are the last student left,
[tex]P(Ron) = \dfrac{7}{12} \\P (Sue) = \dfrac{4}{15} \\P(Ted) = \dfrac{3}{20}[/tex]
(c) The expected time until all three students are gone is,
[tex]= \dfrac{146}{120} \\\\= 1.22 hours[/tex]
Therefore, the answers are as follows:
(a) 0.45 hours
[tex](b) P(Ron) = \dfrac{7}{12} ,P (Sue) = \dfrac{4}{15} ,P(Ted) = \dfrac{3}{20}\beta[/tex]
(c) 1.22 hours
For more details, prefer this link:
https://brainly.com/question/23044118
Solve the system using a matrix,
3x – 2y = 2
6x - 5y = -1
9514 1404 393
Answer:
(x, y) = (4, 5)
Step-by-step explanation:
The solution to the matrix equation ...
[tex]\left[\begin{array}{cc}3&-2\\6&-5\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}2\\-1\end{array}\right][/tex]
is shown in the attachment. It is found by multiplying the equation on the left by the inverse of the coefficient matrix.
[tex]\left[\begin{array}{c}x\\y\end{array}\right] =\left[\begin{array}{c}4\\5\end{array}\right][/tex]
3w-4z=8
2w+3z=-6 solve
Answer:
W = 0
Z = -2
Step-by-step explanation:
While simplyfying the equation, i noticed that one is 24 and the other is -24, which meant that one value is non existent, and after i found out that w = 0 imputing the reslut made that easier
Find Angel C !!!
Thank you
Answer:
c = 24
Step-by-step explanation:
Angle c is supplementary to 146 and their sum is 180
c + 146 = 180 subtract 146 from both sides
c = 34
Help please I will give brainlist
A probability calculator is required on this problem; answer to six decimal places. Suppose we will flip a fair coin 100 times. Using a calculator, find the probability of getting between 42 and 58 heads (inclusive) in two ways: By a Normal approximation: 0.910869 Exactly: 0.920609 How far off is the Normal approximation
Answer:
0.910870.911374 0.000504Step-by-step explanation:
Number of toss ( n ) = 100
probability of a head in 1 toss ( p ) = 0.5
Hence : np = 100 * 0.5 = 50 > 5, also n( 1-p) = 50 > 5
mean value ( μ ) = np = 50
std = √ n(p)(1-p) = √100(0.5)(0.5) = 5
Using Normal approximation
P( 42 ≤ x ≤ 58 ) = P ( 42-0.5 ≤ x ≤ 58 + 0.5 )
= P( (41.5 - 50) / 5 < Z < (58.5 - 50) / 5 )
= P ( -1.7 < Z < 1.7 )
= 0.91087
Using Calculator to get the exact value
P( 42 ≤ x ≤ 58 ) = 0.911374
How far off is the Normal distribution (Absolute value of error )= | 0.911374 - 0.91087 | = 0.000504
ye I don’t so any of y’all got the answer?
An exam has 40 multiple-choice questions, each with 5 choices. Only 1 of the 5 choices for each
question is correct. If you used a table of random digits to randomly choose your answer on all
questions, about how many answers would you expect to get correct?
Select one:
O
a. 40
O
b. 0
0
C. 20
d. 8
e. 5
I will give a brilliant if the answer was correct
Please helppp
Answer:
D.8
Step-by-step explanation:
Since your chance of success is only 1 out of 5 or rather, 20%, so
40 divided by 5 equals 8, so the answer is D.
(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)
Expected number of answers to be correct = 8.
What is probability?Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.
Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (Event) = Favorable Outcome/Total Outcome = x/n
Given,
Number of questions = 40
One of 5 choices is correct
then, probability of getting correct option = 1/5
Number of correct answers = 40 × 1/5 = 8
Hence, 8 answers are expected to be correct.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ6
Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.
a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.
Answer:
Paired or Independent Samples
Quantities Samples
a. Paired Samples because the heights of the identical twins are dependent on each other.
b. Independent Samples; the height of men and women are independent of the other.
c. Independent Samples; rents in two different cities are not expected to be dependent on each other.
d. Paired Samples; rent in a certain town between this year and last year are dependent on each other.
Step-by-step explanation:
Paired Samples are used when there is a natural or matched coupling such that a data set is generated in which each data point in one dependent sample is uniquely paired to a data point in the second dependent sample. In this case, the two samples are dependent on each other.
Independent Samples are used when there is a random selection of samples because their observations are independent.