Answers
Answer:
The answer is only c) x=5
Step-by-step explanation:
|x| means that this is an absolute value. If the number is a negative, removing the value bars will make it a positive again. Positives stay positives. So the only answer greater than value of 2 is 5.
Related Questions
can someone please help me with this
Answers
Hope you understand :)
Answer:
DF = 3.0
<E = 31°
<F = 59°
Step-by-step explanation:
1. Use the Pythagorean Theorem to find side DF.
a² + b² = c²
5² + b² = 5.83²
25 + b² = 33.9889
b² = 8.9889
b = √8.9889
b = 2.998149429
b = 3.0
Side DF is equal to 3.0.
2. Use SOHCAHTOA to find the measure of <E. We know two sides: adjacent (5) and hypotenuse (5.83). So, we will use cosine.
Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{5.83}[/tex] = 0.8576329331
Take the inverse cosine to find <E in degrees.
cos⁻¹ (0.8576329331) = 30.95 = 31°
<E is equal to 31°.
3. Add the two angles and subtract from 180° or use SOHCAHTOA to find the measure of <F.
90° + 31° + x = 180°
121° + x = 180°
x = 59°
or
We know two sides: adjacent (3.0) and hypotenuse (5.83). So, we will use cosine.
Cosine = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3.0}{5.83}[/tex] = 0.5145797599
Take the inverse cosine.
cos⁻¹(0.5145797599) = 59.03063031 = 59°
<F is equal to 59°.
Hope that helps. :)
A set of dishes has a list price of $399 with a 15% discount rate. What is the discount amount?
Answers
Note: 399 dollar to pound = 263.34 pound
Solution: 15% off 399 is equal to (15 x 15) / 100 = 59.85. So if you buy an item at $399 with 15% discounts, you will pay $339.15 and get 59.85 cashback rewards. hope this helps you
Answer:
The discount is 59.85
Step-by-step explanation:
To find the discount, take the amount and multiply by the discount rate
discount =399 * 15%
= 399 * .15
=59.85
The discount is 59.85
Which facts are true for the graph of the function below? Check all that apply.
F(x) = logo6x
A. It is decreasing.
B. The y-intercept is (0,6).
c. The domain is x>6.
D. The range is y> 0.
O E. The x-intercept is (1,0).
F. It is increasing.
Answers
Answer:
It is increasing and the x-intercept is (1,0) so F and E
Step-by-step explanation:
A P E X
The true statements are F and E
What is a log function?The logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
We need to graph the log function. F(x) = log6x
Domain: x>0 All real number greater than 0.
Range: All real number.
y-intercept: Put x=0 and solve for y. (Does not exist)
y-intercept: Put y=0 and solve for x. (1,0)
Log function is increasing function.
F is true. (It is increasing)
D is False. (Because Range is all real number)
E is true. (x-intercept (1,0))
A is false. (It is decreasing.)
B is false. (The y-intercept is (0, 6))
C is false. (Domain is x>0)
Hence, F and E are true.
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John sold a generator and made a profit o $98, which is equal to 4 1/4 percent of the cost price.What was the cost of the Generator?
Answers
Divide the profit by the percentage:
98 / 0.0425 = 2305.88
The cost was $2,305.88
Please answer this correctly
Answers
Answer:
50%
Step-by-step explanation:
There are 3 numbers that fit this rule, 4, 5, and 6. Since there are 6 number total, and 3 fit the rule, there is a 3/6 chance or 50% or rolling either of those numbers.
Answer:
50%
Step-by-step explanation:
The numbers that are 5 or greater than 3 on a dice are 4, 5, and 6.
3 numbers out of 6.
3/6 = 1/2
Convert to percentage.
1/2 × 100
= 50%
P(5 or greater than 3) = 50%
I need help on question 6.
Answers
Answer: 135 degrees
Step-by-step explanation:
First you now that ABD+DBC=180 degrees
Subsitute so you get: (5x+10)+(2x-5)=180
Solve:
(5x+10)+(2x-5)=180
=> 7x+5=180
=> 7x=175
=> x= 25
Plug in 25 :
ABD= 5*25+10=135
And there is your answer
My soccer team has 16 players. I have to choose a starting lineup of a goalie and 10 regular players (the regular players are interchangeable). How many different starting lineups can i choose? *the answer is not 4368*
Answers
Answer:
3003
Step-by-step explanation:
We want to find out how many ways we can choose 10 players among 15 players (since the goalie is not interchangeable)
The number of different lineups you can have can be found by using combination:
[tex]^{15}C_{10} = \frac{15!}{(15 - 10)! 10!}\\ \\= \frac{15!}{5! * 10!} \\\\= 3003[/tex]
There are 3003 different lineups that can be chosen.
the pie chart on the left shows the mean of transport 60 people use every morning to get to work. How many people use the train to go to work
Answers
Answer:
I wanna end myself bye random stranger.
Two dice are rolled. Determine the probability of the following: rolling a 6 or doubles
Answers
Answer as an exact fraction = 5/18
Answer as an approximate decimal = 0.2778
Answer as an approximate percentage = 27.78%
============================================================
Explanation:
x = result of the first die
y = result of the second die
(x,y) paired together shows the results of both dice at the same time.
Something like (x,y) = (4,2) means we got 4 on the first die and 2 on the second die.
--------
Let's list the ways of rolling a 6
(1,5)(2,4)(3,3)(4,2)(5,1)There are 5 ways to roll a 6. Each pair listed has the property x+y = 6.
--------
List all the ways of getting doubles
(1,1)(2,2)(3,3)(4,4)(5,5)(6,6)There are 6 ways to roll doubles. Each pair mentioned has x = y.
--------
We have 5+6 = 11 items listed above. However, there are only 10 unique pairs though because (3,3) was listed twice. So we could say 5+6-1 = 11-1 = 10.
This is out of 6*6 = 36 different ways to roll the two dice. The probability is therefore 10/36 = 5/18.
Using a calculator, 5/18 = 0.2778 = 27.78%
About 2% of the population has a particular genetic mutation. 1000 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 10
Answers
Answer:
Step-by-step explanation:
We khow that the genetic mutation affect 2 percent of the population .
Let's try to understand what does this mean :
in a group of 100 people there is possibility of finding 2 people with this genetic mutation in a group of 1000 the possibility raises to 20 people so we can deduce that each time we add a zero we add a zero in 2so :
100⇒21000⇒2010000⇒200100000⇒2000and so on
There is a 0.9986 probability that a randomly selected 27-year-old male lives through the year. A life insurance company charges $174 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $90 comma 000 as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving? The value corresponding to surviving the year is $ negative 173.76. The value corresponding to not surviving the year is $ 125.76.
Answers
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
There is a 0.9986 probability that a randomly selected 27-year-old male lives through the year. A life insurance company charges $174 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $90 comma 000 as a death benefit. Complete parts (a) through (c) below.
a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
b. If the 27 -year-old male purchases the policy, what is his expected value?
c. Can the insurance company expect to make a profit from many such policies? Why? From the point of view of the insurance company, the expected value of the policy is
Answer:
a. The life insurance company charges $174 for insuring if the male survives
Value(survive) = -$174
The life insurance company pays $90,000 for insuring if the male does not survive.
Value(not survive) = $89,826
b. The expected value for a 27-year-old male is
E(x) = -$48
c. The expected value for the insurance company is
E(x) = $48
Step-by-step explanation:
The probability that a randomly selected 27-year-old male survives is given by
P(survive) = 0.99864
The probability that a randomly selected 27-year-old male does not survive is given by
P(not survive) = 1 - P(survive)
P(not survive) = 1 - 0.99864
P(not survive) = 0.0014
a. From the perspective of the 27-year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
If 27-year-old male survives:
The life insurance company charges $174 for insuring if the male survives
Value(survive) = -$174
If 27-year-old male does not survive:
The life insurance company pays $90,000 for insuring if the male does not survive.
Value(not survive) = $90,000 - 174
Value(not survive) = $89,826
b. If the 27-year-old male purchases the policy, what is his expected value?
The expected value for a 27-year-old male is given by
E(x) = P(survive)×Value(survive) + P(not survive)×Value(not survive)
E(x) = 0.9986×-174 + 0.0014×89,826
E(x) = -$48
The negative sign indicates that it is a loss from the perspective of the 27-year-old male.
c. Can the insurance company expect to make a profit from many such policies? Why? From the point of view of the insurance company, the expected value of the policy is
The expected value for the insurance company is given by
E(x) = 0.9986×174 + 0.0014×-89,826
E(x) = $48
The positive sign indicates that it is a profit from the perspective of the insurance company.
If a4=16 and a8=32 and an= 128 for an arithmetic sequence what is the value of n?
Answers
Answer:
n = 32
Step-by-step explanation:
an = a1 + (n - 1)d
a4 = a1 + 3d = 16
a8 = a1 + 7d = 32
7d - 3d = 32 - 16
4d = 16
d = 4
a4 = a1 + 3d = 16
a1 + 3(4) = 16
a1 + 12 = 16
a1 = 4
an = 4 + (n - 1)4 = 128
4 + 4n - 4 = 128
4n = 128
n = 32
In 1998, Mary Meagher set the women's world swimming record for the 100-m butterfly. She swam the distance in 57.93 seconds. On average, how long did she take to swim 10 m?
Answers
Answer:
5.793 s
Step-by-step explanation:
On average she swam 1/10 the distance in 1/10 the time.
She took an average of 5.793 seconds to swim 10 m.
___
10 m is 1/10 of 100 m
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=12,BC=5x−2,AC=3x+20
Answers
Answer:
AB=BC
root AB=root BC
root(x2-x1
what is the square root of -16
Answers
Answer:
Step-by-step explanation:
[tex]\sqrt{-16}=\sqrt{16i^{2}}\\\\ =\sqrt{4^{2}*i^{2}}\\\\=4i[/tex]
Multiply (4x-3w)(5x-7w)
Answers
Answer:
20x² - 43xw + 21w²
Step-by-step explanation:
We use FOIL to expand the expression:
F - First
4x(5x) = 20x²
O - Outside
4x(-7w) = -28xw
I - Inside
-3w(5x) = -15xw
L - Last
-3w(-7w) = 21w²
20x² - 28xw - 15xw + 21w²
Combine like terms and add up using correct signs and you should get your answer.
Answer:
[tex]20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]
solution,
[tex](4x - 3w)(5x - 7w) \\ = 4x(5x - 7w) - 3w(5x - 7w) \\ = 20 {x}^{2} - 28xw - 15xw + 21 {w}^{2} \\ = 20 {x}^{2} - 43xw + 21 {w}^{2} [/tex]
Hope this helps...
Good luck on your assignment..
I NEED HELP ASAP PLEASE, THANKS! :)
Answers
Answer:
[tex]\dfrac{6^2-3^2}{2}=\dfrac{27}{2}[/tex]
Step-by-step explanation:
You can go to the trouble to integrate y = x from 3 to 6, or you can figure the area geometrically.
[tex]\displaystyle\int_3^6{x}\,dx=\left.\dfrac{x^2}{2}\right|_3^6=\dfrac{6^2-3^2}{2}\quad\text{using integration}\\\\A=\dfrac{1}{2}(b_1+b_2)h=\dfrac{1}{2}(6+3)(6-3)=\dfrac{6^2-3^2}{2}\quad\text{using geometry}[/tex]
HELP lol thankssssss
Answers
Answer:
8 : 1
Step-by-step explanation:
Consider the points on the line relating raspberry juice to lemon- lime soda
That is
raspberry juice lemon- lime sode
8 1
16 2
24 3
32 4
These values are all in the ratio of 8 : 1
Answer:
8:1
Step-by-step explanation:
i just know
In a certain city, the monthly cost of residential electric service is given by the function C = 0.08n = 14, where n is the number of kilowatt hours (kWh) used 8 cents is the cost per kWh, and 14 is a fixed charge. Find the monthly bill if 600 kWh were used. $
Answers
Answer:
b and I will be there at work and I will be there at work and I will be there at work and I will
Step-by-step explanation:
you are not going to be able to make it to the meeting tonight but I can tomorrow if you have time
Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the solid lines. Other times, he takes the shortcut shown by the dashed line.
A right triangle. The distance from the angle with measure 90 degrees to Job is 15 kilometers. From the angle to Home is a. They hypotenuse is 17 kilometers.
How many fewer kilometers does Mr. Jones bike when he takes the shortcut instead of the long route?
6 kilometers
8 kilometers
23 kilometers
32 kilometers
Mark this and return
Answers
Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.
[tex]Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km[/tex]
Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
Answer:
a
Step-by-step explanation:
on edge
Find the missing value.
Hint: Use the number line to find the missing value.
–9+ = -3
I need help
Answers
start at -9 and jump from each number
until you get to -3
now count the amount of spaces you jumped until you got to -3
you jumped 6 spaces to -3
if you jumped to the right the answer is a positive
if you jumped to the left the answer is negative
Where is the opposite of the opposite of -1.9 situated on the number line?
Answers
Answer:
-1.9
Step-by-step explanation:
The opposite of the opposite is the original number, -1.9.
It is located at -1.9 on the number line.
Answer:
a
Step-by-step explanation:
Which statement is true? Question 6 options: A) |13| = – 13 B) – |13| = 13 C) – |–13| = 13 D) |–13| = 13
Answers
Answer:
D because absolute value always makes the sign positive but if there is a negative before the absolute value, that would still stay there.
Step-by-step explanation:
An equation |-13|=13 is correct. Therefore, option D is the correct answer.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
Here,
A) |13|=-13
Absolute value of positive integer is positive. So, option A is incorrect.
B) -|13|=13
Absolute value of positive integer is positive.
Then, -13≠13
So, option B is incorrect.
C) -|-13|=13
Absolute value of negative integer is positive.
Then, -13≠13
So, option C is incorrect.
D) |-13|=13
Absolute value of negative integer is positive.
So, option D is incorrect.
An equation |-13|=13 is correct. Therefore, option D is the correct answer.
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At a carnival, contestants are asked to keep rolling a pair of dice until they roll snake eyes. The number of rolls needed has a mean of 36 rolls, with a standard deviation of 5.4 rolls. The distribution of the number of rolls needed is not assumed to be symmetric.
Between what two numbers of rolls does Chebyshev's Theorem guarantee that we will find at least 75% of the contestants?
Answers
Answer:
The two numbers of rolls are 25.2 and 46.8.
Step-by-step explanation:
The Chebyshev's theorem states that, if X is a r.v. with mean µ and standard deviation σ, then for any positive number k, we have
[tex]P (|X -\mu| < k\sigma) \geq (1-\frac{1}{k^{2}})[/tex]
Here
[tex](1-\frac{1}{k^{2}})=0.75\\\\\Rightarrow \frac{1}{k^{2}}=0.25\\\\\Rightarrow k=\sqrt{\frac{1}{0.25}}\\\\\Rightarrow k=2[/tex]
Then we know that,
[tex]|X - \mu| \geq k\sigma,\\\\ \Rightarrow \mu - k\sigma \leq X \leq \mu + k\sigma[/tex].
Here it is given that mean (µ) = 36 and standard deviation (σ) = 5.4.
Compute the two values between which at least 75% of the contestants lie as follows:
[tex]P(\mu - k\sigma \leq X \leq \mu + k\sigma)=0.75\\\\P(36 - 2\cdot\ 5.4 \leq X \leq 36 + 2\cdot\ 5.4)=0.75\\\\P(25.2\leq X\leq 46.8)=0.75[/tex]
Thus, the two numbers of rolls are 25.2 and 46.8.
Suppose that a high school marching band has 97 members. Of these 97 band members, 31 are seniors, 18 play the trumpet, and 6 are seniors who play the trumpet.What is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? Give your answer as a percentage, rounded to one decimal place.___%What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?___%
Answers
Answer:
Step-by-step explanation:
33.3%
19.4%
KEVIN HAS TWO PART-TIME JOBS. HE DELIVERS PIZZA FOR PEDRO'S PIZZERIA
AND MAKES $8 AN HOUR, PLUS $20 FOR DRIVING EXPENSES EACH WEEK. HE
ALSO DOES ODD JOBS FOR A LOCAL HARDWARE STORE, WHERE HE IS PAID $10
AN HOUR.
A. WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE H
REPRESENTS THE NUMBER OF HOURS KEVIN WORKS, AND A
REPRESENTS THE AMOUNT HE EARNS AT EACH JOB IN A WEEK. B. HOW MANY HOURS MUST KEVIN WORK AT EACH JOB SO THAT HIS EARNINGS FROM BOTH SIDES ARE THE SAME? C. WHAT WOULD HIS INCOME FROM EACH JOB BE IN THAT CASE?
Answers
Answer:
A. A = 8h + 10
A = 10h
B. 5 hours
C. $50
Step-by-step explanation:
A. https://brainly.com/question/17036764
Pizza Place: A = 8h + 10
Hardware Store: A = 10h
Since you had made a separate question for part A, I answered that.
B. Kevin's earnings is represented by A. Because we want the earnings for each job to be equal, set the two equations equal to each other. Solve for h.
8h + 10 = 10h
10 = 2h
5 = h
Kevin has to work 5 hours.
C. Plug 5 into each equation.
A = 8h + 10
A = 8(5) + 10
A = 40 + 10
A = 50
A = 10h
A = 10(5)
A = 50
Kevin will make 50 from each job.
Someone help me please
Answers
Answer:
√111 lie between 10 and 11
Step-by-step explanation:
In order to calculate betwwen which values does √111 lie we would have to make the following calculation:
If we calculate 10∧2, the result is=100
If we calculate 11∧2 the result is=121
Therefore, according to that calculations we can be secure that the most certain options of would be that the √111 would be 10<√111<11
Therefore, √111 lie between 10 and 11
Applying Angle Pair Relationships
Try it
Z
What is m 22? 75
y
What is mZ1?
1
4
13 16
A
2/3
14 15
5
75°
9 12
6
>
7
w
101 11
What is the measure of angle 1
Answers
Answer:
∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.
The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Now, We get;
∠2 = 75°
Because of alternate interior angles.
And, Since ∠1 and ∠2 form a linear pair,
Hence, they are also supplementary which means that;
⇒ ∠1 = 180 - ∠2
⇒ ∠1 = 180 - 75
⇒ ∠1 = 105°
Thus, The value of angles are,
⇒ ∠1 = 105°
⇒ ∠2 = 75°
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5x + 7y = -29, y = x + 1
Answers
Answer:d
Step-by-step explanation:
The weights of items produced by a company are normally distributed with a mean of 5 ounces and a standard deviation of 0.2 ounces. What is the minimum weight of the heaviest 9.85% of all items produced?
Answers
Answer:
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
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, we have that:
[tex]\mu = 5, \sigma = 0.2[/tex]
What is the minimum weight of the heaviest 9.85% of all items produced?
This is the 100 - 9.85 = 90.15th percentile, which is X when Z has a pvalue of 0.9015. So X when Z = 1.29.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.29 = \frac{X - 5}{0.2}[/tex]
[tex]X - 5 = 1.29*0.2[/tex]
[tex]X = 5.26[/tex]
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.