Answer:
as probability of this is higher than 0.05 level this is not significantly high number .
Step-by-step explanation:
we have here a binomial distribution with the following data:
p = 0.76 and n = 8
therefore probability that a least 7 of the 8 adults require eyesight correction is P (X> = 7)
P (X> = 7) = P (X = 7) + P (X = 8) = nCr * (p) ^ (n) * (1-p) ^ (n-r)
= (8C7) * (0.76) ^ 8 * (0.24) ^ (8-7) + (8C8) * (0.76) ^ 8 * (0.24) ^ (8-8)
nCr = n! / (r! * (n-r)!
replacing:
(8C7) = 8! / (7! * (8-7)!) = 8
(8C8) = 8! / (8! * (8-8)!) = 1
P (X> = 7) = 8 * 0.0267 + 1 * 0.11130 = 0.325
as probability of this is higher than 0.05 level this is not significantly high number .
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
I need help plz someone help me solved this problem I need help ASAP! I will mark you as brainiest!
Step-by-step explanation:
P= R - C = -0,5x^2 + 70x -2100= 300
P=-0,5x^2 +70x -2400=-0,5(x^2 -140x +4800)=-0,5(x^2- 80x -60x +4800)=-0,5(x-60)(x-80)=0
so x =60 or x=80
Answer:
Total cost is 123 items selled
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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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.
More about the equivalent link is given below.
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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:
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.
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%
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]
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
Hui recorded the temperature at the same time each day for one month.
He found that the MAD for his data set was 4.3. What does this information tell you about the temperatures that Hui recorded?
Choose True or False for each statement.
The lowest temperature varied only 4.3 degrees from the mean temperature.
True/false
On most days the temperature varied about 4.3 degrees from the mean temperature.
Choose...
No temperature varied more than 4.3 degrees from the mean temperature.
Choose...
The highest temperature varied about 4.3 degrees from the lowest temperature.
Choose...
Answer:
The only true statement is statement 2.
On most days the temperature varied about 4.3 degrees from the mean temperature.
Step-by-step explanation:
The MAD is known as the Mean Absolute Deviation for any given dataset.
The absolute deviation is a measure of dispersion which quantifies the spread of the variables in the dataset from the mean.
It gives the only the positive value of the deviations of each variable from the mean.
The mean absolute deviation now signifies the average of the sum of all of these positive deviations of each variable from the mean.
Hence, the MAD value only gives how much the variables will varubfrom the mean on average.
Looking at the statements, it is evident that the MAD temperature value of 4.3 doesn't directly give the maximum or minimum variation from the mean temperature or the highest variation from the mean, rather it does show that 'On most days the temperature varied about 4.3 degrees from the mean temperature'.
Hope this Helps!!!
Answer:
a c e
Step-by-step explanation:
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).
If f(x)=x^2, find f(-3)
Answer: f(-3) = 9
Step-by-step explanation:
Plug in -3 for x
f(-3) = (-3)^2
Square -3
(-3)^2 = 9
Answer:
f(-3)=9
Step-by-step explanation:
f(x)=[tex]x^{2}[/tex]
To find f(-3) replace x in the function by -3
Therefore:
f(−3)=(−3)^2
=−1^2 × 3^2 =1 × 9 = 9
HOPE THIS HELPS
HAVE A GOOD DAY:)
What is the measure of angle RST? Help!!
Answer:
62
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)
RST = 1/2 ( 47+77)
= 1/2 (124)
= 62
Write the equation of each line in slope intercept form (If possible please show work)
Answer:
y = -2/3x-9
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2/3x+b
We have a point we can substitute into the line
-5 = -2/3(-6)+b
Subtract 4 from each side
-5-4 =4+b-4
-9 =b
y = -2/3x-9
In a large population, 58 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Answer:
0.97
Step-by-step explanation:
From the question:
If 58% = 58/100 of the people have been vaccinated, then;
1 - (58/100) = 42% = 42/100 of the people have not been vaccinated.
Now:
Probability, P( > 1 ), that at least one of the selected four has been vaccinated is given by;
P( > 1 ) = 1 - P(0) -----------(1)
Where;
P(0) = probability that all of the four have not been vaccinated.
P(0) = P(1) x P(2) x P(3) x P(4)
Where;
P(1) = Probability that the first out of the four has not been vaccinated
P(2) = Probability that the second out of the four has not been vaccinated
P(3) = Probability that the third out of the four has not been vaccinated
P(4) = Probability that the fourth out of the four has not been vaccinated
Remember that 42/100 of the population have not been vaccinated. Therefore,
P(1) = 42/100
P(2) = 42/100
P(3) = 42/100
P(4) = 42/100
P(0) = (42/100) x (42/100) x (42/100) x (42/100)
P(0) = (42/100)⁴
P(0) = (0.42)⁴
P(0) = 0.03111696
Therefore, from equation (1);
P( > 1 ) = 1 - 0.03111696
P( > 1 ) = 0.96888304 ≅ 0.97
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.97
The probability will be "0.969".
According to the question,
Population,
P = 58%or,
= 0.58
Number of people,
n = 4In a Binomial distribution,
→ [tex]P(X=x )= n_C_x P^x q^{n-x}[/tex]
where,
→ [tex]q = 1-P[/tex]
[tex]= 0.42[/tex]
∴ X = at least one
hence,
→ [tex]P(x \geq 1) = 1-P(X<1)[/tex]
[tex]= 1-P(x=0)[/tex]
[tex]=1-4_C_0 (0.58)^0 (0.42)^4[/tex]
[tex]= 1-0.03112[/tex]
[tex]= 0.969[/tex]
Thus the answer above is right.
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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
Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math majors. You survey 135 science majors, and find out that 82 of them regularly exercise. You survey 92 math majors, and find out that 41 of them regularly exercise. You test your hypothesis that the proportions are different at the 1% significance level.1. Which of the following is the correct null hypothesis? A. H0 : A = 0 B. H0 : p = 0 C. H0: P1 = P2 D. H0 : H1 = 12 2. Which of the following is the correct alternative hypothesis? A. H0.: P1 + P2 B. H0 : P1 > P2 C. H0 : Pi + P2 D. H0 : M1 is not equal to M2 3. What is the pooled proportion of Science and Math majors that regularly exercise? 4. What is the p-value of your test? 5. State the conclusion of your test in context?6. What is a 99% confidence interval for the difference in the true proportions of Science and Math majors who regularly exercise?
Answer:
1. H0: P1 = P2
2. Ha: P1 ≠ P2
3. pooled proportion p = 0.542
4. P-value = 0.0171
5. The null hypothesis failed to be rejected.
At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .
6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).
Step-by-step explanation:
We should perform a hypothesis test on the difference of proportions.
As we want to test if there is significant difference, the hypothesis are:
Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).
Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).
The sample 1 (science), of size n1=135 has a proportion of p1=0.607.
[tex]p_1=X_1/n_1=82/135=0.607[/tex]
The sample 2 (math), of size n2=92 has a proportion of p2=0.446.
[tex]p_2=X_2/n_2=41/92=0.446[/tex]
The difference between proportions is (p1-p2)=0.162.
[tex]p_d=p_1-p_2=0.607-0.446=0.162[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]\text{P-value}=2\cdot P(z>2.4014)=0.0171[/tex]
As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.
The null hypothesis failed to be rejected.
At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .
We want to calculate the bounds of a 99% confidence interval of the difference between proportions.
For a 99% CI, the critical value for z is z=2.576.
The margin of error is:
[tex]MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735[/tex]
Then, the lower and upper bounds of the confidence interval are:
[tex]LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335[/tex]
The 99% confidence interval for the difference between proportions is (-0.012, 0.335).
Finding missing angles
Hope you understand :)
Answer:
x°=55°
Step-by-step explanation:
90°=35°+x°
90°-35°=x°
55°=x°
therefore, x°=55°
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.
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).
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.
From a group of 10 women and 15 men, a researcher wants to randomly select
women and men for a study in how many ways can the study group be selected?
O A 17,876
78,016,400
OG 105, 102,625
OD 00,000,000
WO
Answer:
The total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
Step-by-step explanation:
The complete question is:
From a group of 10 women and 15 men, a researcher wants to randomly select 5 women and 5 men for a study in how many ways can the study group be selected?
Solution:
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!\cdot (n-k)!}[/tex]
The number of women in the group: [tex]n_{w}=10[/tex].
The number of women the researcher selects for the study, [tex]k_{w}=5[/tex]
Compute the total number of ways to select 5 women from 10 as follows:
[tex]{n_{w}\choose k_{w}}=\frac{n_{w}!}{k_{w}!\cdot (n_{w}-k_{w})!}=\frac{10!}{5!\cdot (10-5)!}=\frac{10!}{5!\times 5!}=252[/tex]
The number of men in the group: [tex]n_{m}=15[/tex].
The number of men the researcher selects for the study, [tex]k_{m}=5[/tex]
Compute the total number of ways to select 5 men from 15 as follows:
[tex]{n_{m}\choose k_{m}}=\frac{n_{m}!}{k_{m}!\cdot (n_{m}-k_{m})!}=\frac{15!}{5!\cdot (15-5)!}=\frac{15!}{5!\times 10!}=3003[/tex]
Compute the total number of ways the researcher can select 5 women and 5 men for a study as follows:
[tex]{n_{w}\choose k_{w}}\times {n_{m}\choose k_{m}}=252\times 3003=756756[/tex]
Thus, the total number of ways the researcher can select 5 women and 5 men for a study is 7,56,756.
The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make (gx). Table f(x) x= -2, -1, 2, 3, 4 y= 1/9, 1/3, 9, 27, 81 Table g(x) x= -2, -1, 2, 3, 4 y= -17/9, -5/3, 7, 25, 79
I need answers this in 5min pls help!!
Answer:
f(x) translate 2 units down to get the function g(x).
Step-by-step explanation:
From the given tables it is clear that the x-values for both tables are -2,-1,2,3,4.
Difference between y-values of both functions are:
[tex]\dfrac{-17}{9}-\dfrac{1}{9}=-2[/tex]
[tex]\dfrac{-5}{3}-\dfrac{1}{3}=-2[/tex]
[tex]7-9=-2[/tex]
[tex]25-27=-2[/tex]
[tex]79-81=-2[/tex]
So, difference between y-values of both functions is constant, i.e., -2.
Now, we get
[tex]g(x)=f(x)-2[/tex]
It means function f(x) shifts 2 units down to get the function g(x).
Therefore, f(x) translate 2 units down to get the function g(x).
Answer: horizontal or vertical stretch
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
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.
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
HELP ME !!! PLEASE SOMEONE
Answer:
The sequence is step 7, 9, 1, 4, 2, 8
Step-by-step explanation:
They give us a series of steps to organize the operation of the inverse of the function y = (x-4) / (33-x)
they give us 9 steps, which 3 are incorrect since it is only done in 6 steps.
1. The first step is step # 7
It is the exchange of variables, it would be:
x = (y -4) / (33 - y)
2. The second step is step # 9
the denominator (33-y) is multiplied by x, like this:
x * (33 - y) = y -4
3. The third step is step # 1
Multiply the x by 33 - y, like this:
33 * x - x * y = y - 4
4. The fourth step is step # 4
We rearrange the equation:
33 * x + 4 = y + x * y
5. The fifth step is step # 2
We take common factor "and"
33 * x + 4 = y * (1 + x)
6. The sixth and last step is step # 8
We solve for "y", that is, we pass divide (1 + x) and it would be:
y = f ^ -1 (x) = 33 * x + 4 / (1 + x)
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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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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https://brainly.com/question/25870256
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"