Answer:
a) 3 kilograms
b) 5.7 kilograms
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 3.89, \sigma = 0.68[/tex]
We have to find X for both values of Z.
a) z = -1.35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.35 = \frac{X - 3.89}{0.68}[/tex]
[tex]X - 3.89 = -1.35*0.68[/tex]
[tex]X = 3[/tex]
3 kilograms
b) z = 2.64
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.64 = \frac{X - 3.89}{0.68}[/tex]
[tex]X - 3.89 = 2.64*0.68[/tex]
[tex]X = 5.7[/tex]
5.7 kilograms
Given the venn diagram below, what is the correct notation?
Answer:
D
Step-by-step explanation:
as it indicates whole F in the figure
Venn diagram are used to represent the relationships between sets. The correct notation for the shaded region is (d) F.
Given the attached Venn diagram.
The shaded region highlights
The whole of set FSome part of set MNothing in set GThis means that options (a) and (b) are false because set G is not shaded
This also means that option (c) is false because the shaded region is just a part of set M, and not the whole set M.
Hence, we can conclude that option (d) is correct because the whole of set F is shaded.
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How many different 7-digit PIN codes using only the digits 0-9 are possible?
If digits can repeat and it can start with zero than there are 10 options for every digit so the answer is 10**7, or 10000000.
hope this helps, plz mark branliest?
Number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.
We need to find the how many different 7-digit PIN codes using only the digits 0-9 are possible.
What is combination formula?Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.
First digit: 1,2,3,4,5,6,7,8,9 (cannot be 0 else it will be a 6-digit number) (9 choices)
2nd digit: 0,1,2,3,4,5,6,7,8,9 (10 choices)
As we go on, we realise that from the 2nd to 7th digit, we have 10 options (0,1,2,3,4,5,6,7,8,9)
Number of ways to get 7-digit numbers using 0-9 would be 9×10×10×10×10×10×10=9000000.
Therefore, number of 7-digit PIN codes using only the digits 0-9 are possible is 9000000.
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Solve: 25x2 − 36 = 0.
Answer:
x=1.2
Step-by-step explanation:
25x^2 -36=0
25x^2 =36
25x^2/25=36/25
x^2 =1.44
x=square root of 1.44
x=1.2
Credit card A has an APR of 22.2% and an annual fee of $50, while credit card
B has an APR of 23.9% and no annual fee. All else being equal, at about what
balance will the cards offer the same deal over the course of a year?
O A. $2385.75
B. $238.58
O C. $23,857.48
O D. $23.86
Answer:
$2,385.75
Step-by-step explanation:
The computation of the balance left that offer the same deal is shown below:
Let us assume the required balance be P
Now the equation for the credit card A is
[tex]P (1 + \frac{0.222}{12}^{12}) + \$50[/tex]
And, the equation for the credit card B is
[tex]P (1 + \frac{0.239}{12})^{12}[/tex]
Now equate these two equations which are as follows
[tex]P (1 + \frac{0.222}{12})^{12} + \$50 = P (1 + \frac{0.239}{12})^{12}[/tex]
1.246041193 P + $50 = 1.266998979 P
After solving this, the P value is $2,385.75
Answer:
A. $2,385.75
Please answer this correctly
Answer:
2/3
Step-by-step explanation:
Total sides = 6
Number 5 and all even numbers = 1+3
=> 4
P(5 or even ) = 4/6
=> 2/3
Which rates are equal? Choose 2.
A. $1,200 per 48 hours
B. $500 per 50 hours
c. $750 per 25 hours
D. $1,500 per 150 hours
E. $800 per 40 hours
Answer:
B, D
Step-by-step explanation:
In dollars per hour, the rates are ...
A. $1200/(48 h) = $25/h
B. $500/(50 h) = $10/h
C. $750/(25 h) = $30/h
D. $1500/(150 h) = $10/h . . . . matches B
E. $800/(40 h) = $20/h
Choices B and D are the same, at $10/hour.
The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half its initial mass. Starting with 210 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Round your answer to the nearest gram
Answer: 3 grams
Step-by-step explanation:
[tex]210\bigg(\dfrac{1}{2}\bigg)^6=\dfrac{210}{64}\quad =\large\boxed{3.28125}[/tex]
With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a person's Systolic Blood Pressure. Using the Estimated Regression equation, Estimate Systolic BP when some if 39 years old and they weigh 143 pound.
A. 114.785.
B. 115.532.
C. 122.471.
D. 112.569
Systolic BP Age in Yrs. Weight in lbs.
132 52
143 59 184
153 67 194
162 73 168
154 64 196
168 74 220
137 54 188
149 61 188
159 65 207
128 46 167
166 72 217
135 52 187
148 61 161
148 61 189
161 65 205
126 45 161
167 75 215
Answer:
112.569 ( D )
Step-by-step explanation:
Applying the estimated Regression Equation
y = b1X1 + b2X2 + a
b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884
b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925
a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252
y = 0.939X1 + 0.309X2 + 31.733
For x1 ( age ) =39, and x2(weight) =143
y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569
where
Sum of X1 = 981
Sum of X2 = 3102
Sum of Y = 2388
Mean X1 = 61.3125
Mean X2 = 193.875
Mean Y = 149.25
attached is the Tabular calculation of the required values needed for estimated regression equation
There are orange, yellow and blue sweets in a box. The ratio of the
number of orange, yellow and blue sweets in the box is 7:5:4. What
percentage of the sweets are blue? *
4%
25%
35%
O 16%
Answer:
25%
Step-by-step explanation:
Sum the parts of the ratio, 7 + 5 + 4 = 16 parts
Of the 16 parts, 4 parts are blue, thus percentage is
[tex]\frac{4}{16}[/tex] × 100% = [tex]\frac{1}{4}[/tex] × 100% = 25%
Simplify the slope of AC
Answer:
[tex] \frac{c}{a + b} [/tex]
Step-by-step explanation:
Point A is on the origin, hence its coordinates would be (0, 0). Coordinates of point C are (a + b, c)
Slope of AC
[tex] = \frac{c - 0}{a + b - 0} \\ \\ = \frac{c}{a + b} \\ [/tex]
Answer:
In the green box of the numerator, enter "c"
In the gray bax in the denominator, there should be "a"
Step-by-step explanation:
Slope is Rise/Run.
Here the rise is "c" because the base is at 0, and the top of the parallelogram is at "c"
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter.
x = 3t - 5 y = 5t + 1
Answer:
(See explanation below for further details).
Step-by-step explanation:
Let be a parametric curve represented by [tex]x = 3\cdot t - 5[/tex] and [tex]y = 5\cdot t + 1[/tex], where [tex]t[/tex] is the parametric variable.
The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.
[tex]t = \frac{x+5}{3}[/tex] and [tex]t = \frac{y-1}{5}[/tex]
[tex]\frac{x+5}{3} = \frac{y-1}{5}[/tex]
[tex]5\cdot (x+5) = 3\cdot (y-1)[/tex]
[tex]5\cdot x +25 = 3\cdot y - 3[/tex]
[tex]5\cdot x -3\cdot y = -28[/tex]
The parametric equations represents a linear function (first-order polynomial).
The diameter of a planet is about 1420 mi. Find the volume of the planet. Round to the nearest thousand cubic miles. Use 3.14 for pi.
Answer:
1,498,454,000 sq. miles
Step-by-step explanation:
Volume of a sphere = 4/3 (3.14) r^3
So since the diameter is 1420 miles, the radius would be half.
V = 4/3 x (3.14) x 710^3
V=4.18666667 x 357,911,000
V = 1,498,454,054.5 but if you want it rounded to the nearest thousand then it'd be 1,498,454,000.
554936 what is the value of 2nd 5 and its place?
Answer:
The value of the 2nd 5 is 50,000 and it is in the ten thousands place
Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.
Answer:
1.8 times the cost of labor.
Step-by-step explanation:
At the beginning of the year, the rate for overhead was estimated to be ...
(overhead $)/(direct labor $) = $396/$220 = 1.8
The overhead rate is 1.8 times the labor cost.
Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 20 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable, what is the probability that two or more online retail orders will turn out to be fraudulent
Answer:
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.
Step-by-step explanation:
We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.
The probability of k online retail orders that turn out to be fraudulent in the sample is:
[tex]P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}[/tex]
We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:
[tex]P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483[/tex]
The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.
In the past, 75% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually INCREASED the proportion of tourists visiting Rock City. The correct set of hypotheses is _____.
Answer:
The correct set of hypotheses is:
[tex]H_0: \pi=0.75\\\\H_a:\pi>0.75[/tex]
Step-by-step explanation:
This should be researched with a hypothesis test on the proportion of tourists visiting Rock City.
The claim that want to be tested is if the proportion has increased from the past proportion (π=0.75).
Then, the alternative hypothesis will state that the proportion is significantly higher than 0.75.
On the contrary, the alternative hypothesis will state that the proportion is not significantly different than 0.75.
This can be written as:
[tex]H_0: \pi=0.75\\\\H_a:\pi>0.75[/tex]
5: Leon throws a biased coin.
The probability of getting tails is 0.4
Work out the probability of getting heads.
The probability of heads would be 1 - probability of tails.
1-0.4 = 0.6
The probability of getting heads is 0.6
Based on the information given, the probability will be 0.6.
From the question, it was stated that Leon throws a biased coin and that the probability of getting tails is 0.4.
Therefore, the probability of getting heads will be:
= 1 - 0.4
= 0.6.
In conclusion, the correct option is 0.6.
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There are two different clocks in Wendy's house, one is 20 minutes faster in a day, and the other is 30 minutes slower in a day. If they are set to be the correct time now, how many days later will they both show the correct time?
Answer:
The answer is below
Step-by-step explanation:
For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.
Since 1 day = 1/3 hr faster
x days = 24 hr faster
Let x number of days be required to be 24 hr faster. To find x we use the formula:
[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]
For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.
Since 1 day = 1/2 hr slower
y days = 24 hr faster
Let x number of days be required to be 24 hr slower. To find x we use the formula:
[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]
For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X>7
PLEASE HELP
Answer:
1. All real numbers
2. All real numbers except y = 0
3. All real numbers except x = -7
4. All real numbers except b = 10
Step-by-step explanation:
For any function to be defined at a particular value, it should not be approaching to a value [tex]\infty[/tex] or it should not give us the [tex]\frac{0}{0}[/tex] (zero by zero) form when the input is given to the function.
The value of function will depend on the denominator.
Now, let us consider the given functions one by one:
1. 5y+2
Here denominator is 1. So, it can not attain a value [tex]\infty[/tex] or [tex]\frac{0}{0}[/tex] (zero by zero) form
So, for all real numbers, the function is defined.
[tex]2.\ \dfrac{18}{y}[/tex]
At y = 0, the value
[tex]At\ y =0, \dfrac{18}{y} \rightarrow \infty[/tex]
So, the given function is defined for all real numbers except y = 0
[tex]3.\ \dfrac{1}{x+7}[/tex]
Let us consider denominator:
x + 7 can be zero at a value x = -7
[tex]At\ x =-7, \dfrac{1}{x+7} \rightarrow \infty[/tex]
So, the given function is defined for all real numbers except x = -7
[tex]4.\ \dfrac{2b}{10-b}[/tex]
Let us consider denominator:
10-b can be zero at a value b = 10
[tex]At\ b =10, \dfrac{2b}{10-b} \rightarrow \infty[/tex]
So, the given function is defined for all real numbers except b = 10
The margin of error in a confidence interval estimate accounts for:_________
Answer:
The percentage points within which the obtained results would differ from the real population value.
Step-by-step explanation:
The ideas of the margin of error and confidence interval are borne from the observed truth, which is that there is always room for error in any statistically computed figure such as a survey or poll. For example, the result of a poll could show an 80% confidnce interval with a margin of error of 3%. This simply means that if the poll was repeated, 80% of the real population would fall within an estimate of 3%.
Statistics are not always error proof. Sometimes, the results might even be totally different from the computed results. So, it is very important that room is made for the possibility of an error, and that is why we need the mrgin of error.
A company has net income of $940,000; its weighted-average common shares outstanding are 188,000. Its dividend per share is $0.85, its market price per share is $96, and its book value per share is $88.00. Its price-earnings ratio equals?
Answer:
19.2
Step-by-step explanation:
Net income $940,000
No of shares outstanding $188,000
Earning per share = Net income / no of shares outstanding
Earning per share = 940,000 / 188,000
Earning per share = 5
Market price per share = 96
Price earning ratio = Market price / Earning per share
Price earning ratio = 96 / 5
Price earning ratio = 19.2
Write In (4/9) in terms of In 2 and In 3.
A)21n 2 - 21n 3
B)4In 2 - 4In 3
C) 3(In 2 - In 3)
D)In2 2 - 4In 3
The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The expression is given below.
⇒ ㏑(4/9)
Simplify the equation, then we have
⇒ ㏑(4/9)
⇒ ㏑ 4 - ㏑ 9
⇒ ㏑ (2)² - ㏑ (3)²
⇒ 2 ㏑ 2 - 2 ㏑ 3
The expression ㏑(4/9) is equivalent to the expression will be 2 ㏑ 2 - 2 ㏑ 3. Then the correct option is A.
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What is the x-coordinate of the solution for the system of equations? {y−x=910+2x=−2y Enter your answer in the box. x =
Answer:
-7
Step-by-step explanation:
y−x=9 ⇒ y=x+9
10+2x=−2y
5+x= -y ====== replacing y with x+9
5+x= -x-9
2x= -14
x= -7
Answer:
-7
Step-by-step explanation:
y - x = 9
10 + 2x = -2y
Solve for y in the first equation.
y = 9 + x
Put y as 9 + x in the second equation and solve for x.
10 + 2x = -2(9 + x)
10 + 2x = -18 - 2x
2x + 2x = -18 - 10
4x = -28
x = -28/4
x = -7
Just need an answer
Answer:
a
Step-by-step explanation:
x²≥4⇒ x≥2 or x≤-2
Answer:
b my man or women
Step-by-step explanation:
no need for one
The average number of spectators at a football competition for the first five days was 3,144.The attendance on the sixth day was 3,990.find the total attendance on the first five days
Answer:
Add 3, 144
+3,990
And you wil get your answer
7, 134
5% of adults participate in at least 30 minutes of exercise each day. How likely is it that a randomly chosen adult will exercise 30 minutes each day?
Answer:
5 out of 100 adults so not very likely
0.05 or 5% likely that a randomly chosen adult will exercise 30 minutes each day.
What is Probability?Probability is the possibility of occurrence of a particular event.
In other word, Probability is the ratio of number of favorable incident under an event to the Total number of incident under that event.
[tex]\text{Probability}=\frac{\text{Number of Favorable Cases}}{\text{Number of Total cases}}[/tex]
In this problem it is given that 5% of adults participate in at least 30 minutes of exercise each day.
Then it implies 5 adults out of total 100 adults participate in at least 30 minutes of exercise each day.
Here the event is that one adult exercises 30 minutes each day.
Number of adults in favor is 5
Number of total adults is 100
Probability that one randomly chosen adult will exercise 30 minutes each day is [tex]=\frac{5}{100}=0.05[/tex]
Hence 0.05 or 5% likely that a randomly chosen adult will exercise 30 minutes each day.
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Jose buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy? Use p for the number of pounds Jose will buy. Write your answer as an inequality solved for p.
Answer:
48x divided by 8= 6p
Step-by-step explanation:
Find the missing side to the nearest tenth.
Answer:
So C is root 39 I meant and B is 399.99
Step-by-step explanation:
I am correct because of Pythagorean theorem, ok so these are correct!
Answer:
Step-by-step explanation:
1. opp=5,adj=4,hypotenuse=c
[tex]c^{2} =5^{2} +4^{2} \\c^{2} =25+16\\c^{2} =41\\c=\sqrt{41} \\c=6.4\\2.opp=25,hyp=25,adj=b\\hyp^{2} =opp^{2} +adj^{2} \\25^{2} =15^{2} +b^{2} \\625=225+b^{2} \\625 - 225 =b^{2} \\400=b^{2} \\b=\sqrt{400} \\b=20.0[/tex]
P = {4,5,8, 11, 13) and
Q = {11, 12, 13, 15, 17, 19).
a An element is selected at random from P.
What is the probability that it is odd?
Answer:
60%
Step-by-step explanation:
3 of the 5 elements in P are odd (5, 11, & 13), so the probability is 3/5 or 60% or 0.6. (Depending on the format your teacher wants it in).
An investment banker deposited $50,000 in an account earning a nominal 6% per year compounded continuously. How much was in the account at the end of three years
Answer:
The amount in the account at the end of three years will be $59,861.
Step-by-step explanation:
The formula to compute the amount at the end of t years, compounded continuously is:
[tex]A=P\times e^{t\times i}[/tex]
Here,
A = Amount at the end
P = Principal amount
i = interest rate
t = number of years.
It is provided that:
P = $50,000
i = 6%
t = 3 years
Compute the amount in the account at the end of three years as follows:
[tex]A=P\times e^{t\times i}[/tex]
[tex]=50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861[/tex]
Thus, the amount in the account at the end of three years will be $59,861.