Answer:214
Step-by-step explanation:
428 divided by 2. Half of the pages are even, half of 428 is 214
Answer:
214
Step-by-step explanation:
just divide the number of pages with 2
Avicenna, a major insurance company, offers five-year life insurance policies to -65 year-olds. If the holder of one of these policies dies before the age of 70 , the company must pay out $24,200 to the beneficiary of the policy. Executives at Avicenna are considering offering these policies for $573 each. Suppose that for each holder of a policy there is a 2% chance that they will die before the age of and 70 a 98% chance they will live to the age of 70.
Answer:
The question is about the least amount to charge each policyholder as premium
The least premium is $484
Step-by-step explanation:
The least amount of premium to charge for this policy is the sum of the expected values of outcome of both instances of policyholder dying before the age of 70 and living after the age of 70 years
expected value of dying before 70 years=payout*probability=$24,200*2%=$484
Expected of living after 70=payout*probability=$0*98%=$0
sum of expected values=$484+$0=$484
Note that payout is nil if policyholder lives beyond 70 years
The premium of $573 means that a profit of $89 is recorded
What is (7p + 6) - (9p - 7)?
Answer:
-2p +13
Step-by-step explanation:
(7p + 6) - (9p - 7)
Distribute the minus sign
(7p + 6) - 9p + 7
Combine like terms
7p -9p +6 +7
-2p +13
Answer:
-2p + 13
Step-by-step explanation:
Distribute the -1 to (9p - 7):
7p + 6 - 9p + 7
Add like terms (7p and -9p, 6 and 7):
-2p + 13
After seeing countless commercials claiming one can get cheaper car insurance from an online company, a local insurance agent was concerned that he might lose some customers. To investigate, he randomly selected profiles for 10 of his clients and checked online price quotes for their policies. Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote) and using Excel’s t-test for paired data, he obtained t-statistic = 0.709 p-value = 0.248 Note that the above is based on the difference between his price and online quotes.
What are the null and alternative hypotheses, respectively?
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0
Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0
Step-by-step explanation:
We are given that a local insurance agent randomly selected profiles for 10 of his clients and checked online price quotes for their policies.
Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote), he obtained t-statistic = 0.709 p-value = 0.248.
Here , we will use the concept of Paired data test statistics because the prices that the local insurance agent offered and the corresponding online quotes are from the same single data. These information has not been taken from the two independent samples.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0
Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0
Here, null hypothesis states that there is no difference between the price he offered them and the corresponding online quote.
On the other hand, alternate hypothesis states that there is difference between the price he offered them and the corresponding online quote.
Hence, this would be the correct null and alternative hypothesis.
The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?
Answer:
6 and 8
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle measures 10 inches.
To find the length of one of the legs, we use the idea of Pythagorean Triples.
Pythagorean Triples are any set of three numbers that satisfies the Pythagorean Theorem. Some common examples are:
3, 4 and 55, 12 and 139, 40 and 41Note that in a Pythagorean Triple,
The longest length is always the Hypotenuse.New Triples can be formed from product of existing triples.In our given triangle, the Hypotenuse=10 Inches
Consider the Pythagorean Triple 3,4, and 5
5 is the HypotenuseMultiply the Triples by 2, we obtain:6, 8 and 10 (in which 10 is the hypotenuse)Therefore, 6 and 8 could be the length of a leg of the 30°-60°-90° triangle.
What type of triangle is shown in the image?
Acute scalene triangle
Obtuse scalene triangle
Acute isosceles triangle
Right isosceles triangle
Answer:
acute isosceles
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
just cause
Rewrite as a simplified fraction.
0.1 with the 1 repeating
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{1}{9} =0.111111111111111111[/tex]
1567÷135
plz help 50 points
Answer:
11.60740741
Step-by-step explanation:
Answer:
11.6074074074
Step-by-step explanation:
Simplify the following expression.
(57x + 79) - (-30x + 6)
Answer:
87x + 73
Step-by-step explanation:
Combine like terms. Combining the x terms yields 87x; combining the constants yields 73. Thus, the desired expression is 87x + 73.
Answer:87x+73
Step-by-step explanation:
Distribute the Negative Sign:
=57x+79+−1(−30x+6)
=57x+79+−1(−30x)+(−1)(6)
=57x+79+30x+−6
Combine Like Terms:
=57x+79+30x+−6
=(57x+30x)+(79+−6)
=87x+73
Solve for a,b,and/or c
Help solve ASAP!
Answer:
a=90-67=23°
.................
What is the slope (m) and y- and y-intercept (b) of the equation y = -4x + 6
Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and the b is your constant term which represents the y-intercept of the line
This linear equation has a slope equal to -4 since it's
the coefficient of the number in front of your variable.
This equation has a y-intercept that is equal to 6 since it's
in the place of the b in the equation y = mx + b.
please help me. how do you do this?
Explanation:
Each "square" in the table has two lines. The top line matches the label of the degree of the polynomial. The bottom line matches the name for the number of terms.
Where one or the other is missing, fill it in according to the description above.
For example, the "square" in the lower right corner will say ...
quartic
trinomial
Need help with this..
Answer:
Step-by-step explanation:
m4 + m3 = 180 (Supplementary angle on 1 line)
m6 +m3 = 180 (Supplementary angle)
-> m6=m4
-> x+80 = 4x-10
-> 90 = 3x
-> x = 30
-> m6=m4 = 80+30 = 110
...
m1+m4 = 180 (Supplementary angle on 1 line)
-> m1 = 180 -110 = 70
Lena is 10 years old. She asks her dad how old he is. He tells her that the lcm of their ages is 14 times the hcf of their ages. She knows that her dad is at least 30 years old but younger than 45. Work out how old her dad is.
Answer:
35
Step-by-step explanation:
Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.
The LCM will be abx = 14x, so we have ab = 14.
Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...
a=2, b=7
For a=2 and ax=10, we have x=5.
The dad's age is bx = 7·5 = 35.
Ryan randomly draws equal sized cards labeled with letters A, B, C, D and F from a hat and records the results in the table. Find the theoretical and experimental probabilities of randomly drawing a card that is labeled with the letter C. Frequency A 36, B 50, C 111, D 59, F 44 total 300
Answer:
We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:
P = 1/5 = 0.20
Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.
The experimental probability is:
Pe = 111/300 = 0.37
You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.
Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.
The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.
can someone help me and provide steps, please?
Answer:
Step-by-step explanation:
Okay so basically what you need to do is find out how much you can take from 360, in this you you would add the two numbers (70+105) and subtract from 360.
In the game of “rock, paper, scissors”, rock beats scissors, paper beats rock and scissors beats paper. If the
game is played between two people, on which game would you reasonably expect to win for the first time?
a. 1st game c. 3rd game
b. 2nd game d. 4th game
Answer:
C because you would have completed every outcome
What percentage of students who take honors English are taking a non-honors math class?
Answer:
B
Step-by-step explanation:
Took quiz GL
Answer:
the answer is not B
Step-by-step explanation:
the answer is A I actually took the quiz
ASAP HELP PLEASE GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing!!
Answer:
C x = (-5+sqrt(-3))/2
D x = ( -5-sqrt(-3))/2
Step-by-step explanation:
Set the polynomial equal to zero
x^2 + 5x+7 =0
Subtract 7 from each side
x^2 + 5x+7-7 =-7
x^2 + 5x = -7
Complete the square by taking the coefficient of x and dividing by 2 and then squaring it
(5/2)^2 = 25/4
x^2 + 5x + 25/4 = -7+25/4
(x+5/2)^2 = -28/4 +25/4
(x+5/2)^2 = -3/4
Take the square root of each side
x+5/2 = ±sqrt(-3/4)
Subtract 5/2 from each side
x+5/2 -5/2 = -5/2±sqrt(-3/4)
x = -5/2±sqrt(-3/4)
x = -5/2±sqrt(-3)/2
x = (-5±sqrt(-3))/2
Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?
Answer:
A) 16 cm
B) 50.24 cm
Step-by-step explanation:
Part A:
The diameter is double the radius
The radius is half of the diameter
To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.
1) Multiply 8 by 2.
[tex]8*2=16 cm[/tex]
Part B:
The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]
To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.
1) Multiply pi by 16.
[tex]\pi*16=50.24[/tex]
Pi in this case is 3.14
A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?
Answer:
14 or 13 layers
Step-by-step explanation:
Answer:
A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?
5 layers
There are 6 seats in the first row of the theater, 9 seats in the second row, and 12 seats in the third row. This pattern continues for each row in the theater. Write a mule for an, the number of seats in the n th row.
Answer:
the ninth row has 30 seats
Step-by-step explanation:
because the first row started off as six 3 X 9 = 27 but the rule is add three more seat every row but if thee first row started of with six then you have to add 3 more to the ninth row which mean there are 30 seats
is -18/3 a integer yes or no?
Answer:yes
Step-by-step explanation:
An integer is a number that can be written without fractional exponent
-18/3=-6 so it is an integer
Using the numbers 4.3, -1.07, and -2.971, write an expression containing both addition and subtraction that simplified to a positive number.
Answer:
4.3 + (-1.07)+(-2.971)
Step-by-step explanation:
4.3 + (-1.07)+(-2.971)
4.3 -1.07-2.971
4.3 - 4.041= 0.259
Which mixes number is equivalent to the improper fraction 4/3
Answer:
1 1/3
Step-by-step explanation:
take the denominator and times it to the mixed number.
so 3*1 = 3
then add the numerator to that, so
3 + 1 = 4
making it, 4/3
Solve for e.
9e + 4 = -5e + 14 + 13e
Answer:
e = 10
Step-by-step explanation:
In this problem we are told to solve for e. This means we need to isolate the variable e, leaving it completely by itself on one side of the equation.
9e + 4 = -5e + 14 + 13e
We can do this multiple ways, but I will show you how I would do it.
First I would subtract 4 from both sides.
9e + 4 = -5e + 14 + 13e
9e = -5e + 14 + 13e - 4
We can simplify the right side of the equation down by subtracting four from 14.
9e = -5e + 10 + 13e
Next, let's simplify our algebraic expressions. We can subtract 5e from 13e (or add -5e to 13e whatever tickles your fancy)
-5e + 13e = 8e
9e = 8e + 10
Now we subtract algebraic expression 8e from both sides
9e - 8e = 10
All of our expressions with the variable e are now on one side but we aren't done yet. Compute 9e - 8e.
9e - 8e = 10
1e = 10
or
e = 10
We have isolated e! Our final answer is e = 10
The measure of an angle is 7º. What is the measure of its complementary angle?
Answer:
83°
Step-by-step explanation:
A complementary angles' measurements will equal 90°. One of the angles = 7°. Subtract 7 from 90:
90 - 7 = 83
83° is the measurement of the complementary angle.
~
Answer:
83°
Step-by-step explanation:
Complementary angles add up to 90° in measurement.
With that in mind:
[tex]90 -7=83[/tex]
The complementary angle would measure 83°.
Brainilest Appreciated!
given h(x)=4x-4, solve for x when h(x)=0
Answer:
x=1
Step-by-step explanation:
4x-4=0
4x=4
Therefore, x=1
Describe using the word x. It simply means to translate the amount you've discovered into the variable x.
Given
h(x)=4x-4
once h(x) = 0
0 = 4x-4
4x = 4
x =4/4
x = 1
The phrase "f (x)" denotes a formula with x serving as its input variable.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.Four main categories can be used to classify different sorts of functions. The following relationships are based on the element: One to One Function, Many to One Function, Onto Function, One to One and Onto Function, Into Function.To learn more about h in terms of X refer to:
https://brainly.com/question/27250605
#SPJ2
I keep gettin it wrong please help!!!
Answer:
-5≤ x ≤5 or [-5,5]
Step-by-step explanation:
domain is related to independent variable x
black dots means that number is included in the domain
in this case function is from -5,5 included or -5≤ x ≤5 or [-5,5]
A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for governor. Construct the 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate. Please show written work for question a to c below. a) Find critical value(s). b) "Find the Margin of Error" c) Find confidence interval for the problem.
Answer:
a) z = 2.327
b) The margin of error is of 0.065.
c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 300, \pi = \frac{112}{300} = 0.3733[/tex]
a) 98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]z = 2.327[/tex] is the critical value.
b)
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
So, applying to this question:
[tex]M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065[/tex]
The margin of error is of 0.065.
c) Find confidence interval for the problem.
[tex]\pi - M = 0.3733 - 0.065 = 0.3083[/tex]
[tex]\pi + M = 0.3733 + 0.065 = 0.4383[/tex]
The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
PI is the _ of a circle's _ to its _
Answer:
ratiocircumferencediameterStep-by-step explanation:
Pi is the ratio of a circle's circumference to its diameter.
_____
We suspect you have answer choices for filling in these blanks. Besides the words shown above, there are other ways they can be filled:
Pi is the ratio of a circle's area to its radius squared.
Pi is the measure of a circle's central angle to its diameter endpoints.