Answer:
x < -15
Step-by-step explanation:
Divide both sides by -2.
Next you will reverse the sign because you are dividing by a negative number.
According to a Gallup poll, 60% of American adults prefer saving over spending. You randomly select 4 adults and ask if they prefer spending over saving. Construct a probability distribution for the random variable x. Then graph the distribution. (Histogram)
Expected Value ______________________________
Standard Deviation _____________________________
B –
I-
N-
S-
Interpretation
Using the binomial distribution, it is found that:
The expected value is of 2.4.The standard deviation is of 0.76.The distribution is given by the histogram.For each person, there are only two possible outcomes, either they prefer saving, or they prefer spending. The preferences of each person are independent of any other person, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.The expected value is:
[tex]E(X) = np[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]
In this problem:
60% prefer saving over spending, hence [tex]p = 0.6[/tex]4 adults are selected, hence [tex]n = 4[/tex].Then:
[tex]E(X) = np = 4(0.6) = 2.4[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{2.4(0.6)(0.4)} = 0.76[/tex]
The histogram is sketched at the end of the answer.
You can learn more about the binomial distribution at https://brainly.com/question/24863377
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
solve the following problems:
in Mrs. Pregonero Math class, 12 pupils got high scores on thw test . if this is 15% of the total number of pupils in the class, how many pupils she have in all?
Answer:
Step-by-step explanation:
tey to analyze the problems
whats the answer to 3 1/2 divided by 2 1/4
Answer:
1.556
Step-by-step explanation:
Divide
3 and 1 over 23
1
2
÷ 2 and 1 over 42
1
4
= 28 over 18
28
18
Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
3 and 1 over 23
1
2
= ( 3 × 2 ) over 2
3 × 2
2
+ 1 over 2
1
2
= ( 6 + 1 ) over 2
6 + 1
2
= 7 over 2
7
2
Step 1 of 2: Divide, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 42
1
4
= ( 2 × 4 ) over 4
2 × 4
4
+ 1 over 4
1
4
= ( 8 + 1 ) over 4
8 + 1
4
= 9 over 4
9
4
Step 1 of 2: Divide, sub-step c: Divide.
Divide
7 over 2
7
2
÷ 9 over 4
9
4
= 7 over 2
7
2
× 4 over 9
4
9
= ( 7 × 4 ) over ( 2 × 9 )
7 × 4
2 × 9
= 28 over 18
28
18
To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.
Step 1 of 2: Divide.Hide
Step 2 of 2: Simplify.
Simplify
28 over 18
28
18
= 14 over 9
14
9
= 1 and 5 over 91
5
9
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
28 over 18
28
18
= ( 28 ÷ 2 ) over ( 18 ÷ 2 )
28 ÷ 2
18 ÷ 2
= 14 over 9
14
9
2 is the greatest common divisor of 28 and 18. Reduce by dividing both numerator and denominator by 2.
Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
14 over 9
14
9
= 1 and 5 over 91
5
9
14 ÷ 9 = 1 remainder 5
Answer:
1.5555555555556
Step-by-step explanation:
when you divide those numbers, thats your answer
please this done soon asap
Answer:
x-variable
Step-by-step explanation:
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.
Answer:
1. Y is the variable terminated.
2. X = 1
3. Y = -1
4. (1,0) and (0,-1)
Step-by-step explanation:
After eliminating our Y variable we can solve for X. Our equation for X is 10x=10. After dividing both sides by 10 we get that X=1.
From there we can plug 1 of our previous equations. When we plug 1 in we get that both equations have an equal Y value of -1.
Our solution would be (1,0) and (0,-1)
-2(4x-6)=6-6x help me
Answer:
x=3
Step-by-step explanation:
you have to move the terms collect like terms and divide both sides and down load photo math that helps alot with giving answersWhat is the Area of this triangle? WILL MARK BRAINLIEST
Using your research, complete the graphic organizer below. Write 2–3 complete sentences for each
answer, and provide reasoning for your choices.
What resource would you use if you had any health-related questions or concerns?
What resource would you use if you needed health advice quickly?
Student Guide (continued)
Which resource do you think is the most useful and helpful?
Which resource do you think is the most credible?
Answer:
the discussion leader will moderate the discussion.
find the inverse of f(x)=x^2-3x+2
Answer:
Step-by-step explanation:
y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]
Answer:
Step-by-step explanation:
f(x) = x² - 3x + 2
y = x² - 3x + 2
solve for x as a function of y
y - 2 = x² - 3x
complete the square by adding the square of half the x¹ coefficient to each side of the equation.
y - 2 + (-1.5)² = x² - 3x + (-1.5)²
y + 0.25 = (x - 1.5)²
[tex]\sqrt{y + 0.25}[/tex] = x - 1.5
x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]
now swap the x and y variables and revert to function notation
f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex] domain is x ≥ -0.25
each input will have two outputs except where f(-0.25) = 1.5
There were 120 tickets sold for a band concert and 3/4 of those were student tickets how many adult tickets for the concert were sold
Answer:
30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120
Ezra has $10 to spend on a taxi ride. The taxi company charges a flat rate of $4, plus $1.50 per mile. What is the maximum amount of miles Ezra can afford to travel in this taxi?
PLS ANSWER ASAP I WILL GIVE BRAINLIEST AND WILL GIVE 22 POINTS!!!!
m^(2)n+2m^(3) if m=-0.2 and n=-9.6
Hey there!
m^(2)n + 2m^3
= -0.2^(2)(-9.6) + 2(-0.2)^3
= (-0.04)(-9.6) + 2(-0.3)^3
= 0.384 + 2(-0.008)
= 0.384 - 0.016
= 0.368
Therefore, your answer is: 0.368
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
[tex]\implies\tt{ {m}^{2n} + {2m}^{3} } \\ \\ \implies\tt{ { - 0.02}^{ 2 \times - 9.6} + 2 {( - 0.02)}^{3} } \\ \\ \implies\tt{ - 0.04 \times - 9.6 + 2( - 0.0008)} \\ \\ \implies\tt{0.384 - 0.016} \\ \\ \implies\tt{0.368}[/tex]
8 times the sum of a number 4 is 5 with the variable w
Answer:
8(w+4)=5
Step-by-step explanation:
At Pizza Pi, 68% of the pizzas made last week had extra cheese. If 17 pizzas had extra cheese, how many pizzas in all were made last week?
Answer: 50
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
An angle measures 26.9 degrees. What is its complement?
Answer:
63.1°
Step-by-step explanation:
Complementary angles sum 90°
90 - 26.9 = 63.1°
please help, theres a picture
Answer:
C 1/-3
Step-by-step explanation:
To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!
In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning form my mistakes:)
*Also if I am correct could you please mark me brainliest? I am trying to level up!!
can someone help me with this i’ll give you 25 points
Answer:
Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.
Step-by-step explanation:
Answer:
angle1 = 163°
angle2 = given in diagram
angle 3 = alternating angle 1, so 163°
angle 4 = alternating angle 2, so 17°
Step-by-step explanation:
noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).
an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.
Most plumbing companies charge a fee to come to your house plus a charge per hour of work. The fees and charges for two plumbing companies are shown.
Company A Fee: $50 Charge per hour: $40 Company B Fee: $25 Charge per hour: $50
Write an equation for each company, where c = total cost (in dollars) and h = number of hours. Explain what the initial values and rates of change mean in this context.
Company A: Company B:
Answer:
Company A: [tex]y=40x+50[/tex]
Company B: [tex]y=50x+25[/tex]
Step-by-step explanation:
The initial fee is the y-intercept, as that is the cost at x = 0, or the cost before any time has passed. Afterwards, the rate the cost increases is the slope.
Linear equation in slope-intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Company A charges $50 up front and $40 per hour afterwards, so the equation would be:
[tex]y=40x+50[/tex]
Company B charges $25 up front and $50 per hour, so:
[tex]y=50x+25[/tex]
Lindsay wrote checks from her checking account for $20 and $35. Finally, she deposited $63 into her account. Which number describes the change in the balance of her account?
Answer:
20 and 35 because it says that she wrote a check.
Step-by-step explanation:
If f(x) = -3x2 + 5, find the value of f(4).
=
A. -139
B. -43
C. 53
D. 149
Answer:
B) -43
Step-by-step explanation:
f(x) = -3x²+5
f(4) = -3(4)²+5
f(4) = -3(16)+5
f(4) = -48+5
f(4) = -43
Answer:
B) -43
Step-by-step explanation:
f(x) = -3x²+5
f(4) = -3(4)²+5
f(4) = -3(16)+5
f(4) = -48+5
f(4) = -43
Which equation is correct?
235 × 8 = 200 × 8 + 30 × 8 + 5
235 × 8 = 2,000 × 8 + 300 × 8 + 50 × 8
235 × 8 = 200 + 30 × 8 + 5 × 8
235 × 8 = 200 × 8 + 30 × 8 + 5 × 8
I LOVE YOUUU
The correct expression of 235 * 8 is 200 * 8 + 30 * 8 + 5 * 8
How to determine the correct expression?The product expression is given as:
235 * 8
Express 235 as place values
235 * 8 = (200 + 30 + 5) * 8
Expand the bracket
235 * 8 = 200 * 8 + 30 * 8 + 5 * 8
Hence, the correct expression of 235 * 8 is 200 * 8 + 30 * 8 + 5 * 8
Read more about place values at:
https://brainly.com/question/12386995
When Tom purchased a new motorcycle, he paid a 5% sales tax. The amount of sales tax he paid was $265.
What was the total cost of the motorcycle including the sales tax?
Enter your answer in the box.
Answer:
The total cost of the motorcycle was $5,565.
Step-by-step explanation:
Find the value of x .
K
M
(2x – 10) (2x + 40)º
-
N
Answer:
?????????????????????????
Rebecca can swim 90 meters in 2 minutes. If you graph this with minutes on the x-axis and meters on the y-axis, what will be the slope of the line?
May I please have some help with this problem?
The slope of a line is the average rate of change of the line.
The slope of the line would be 45
From the question, we understand that she can swim 90 meters in 2 minutes.
So, the slope (m) of the line of the graph would be
[tex]m=\frac{90 - 0}{2 - 0}[/tex]
Simplify the numerator, and the denominator
[tex]m=\frac{90}{2}[/tex]
Divide 90 by 2
[tex]m=45[/tex]
Hence, the slope of the line would be 45
Read more about slopes at:
https://brainly.com/question/4015585
PLS HELP ASAP PICTURE ATTACHED
Answer:
100000+)9(87)238388292838
write 6 out of 40 as a fraction a decimal and a percent
Answer:15% , 0.15 , 6/40 or 3/20
Step-by-step explanation:
The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.
Answer:
3/20, 0.15, 15%
Step-by-step explanation:
Fraction:
6/40 un-simplified
3/20 simplified
Decimal:
0.15
Percentage:
15%
Which angle is complementary to <1?
Answer:
I don't know sorry but have a nice time answering this question
Question
You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (3w+4) subscriptions and your friend has sold (5w+1) subscriptions.
a. Write an expression in simplest form that represents the difference between the number of subscriptions your friend has sold and the number you have sold.
b. After 5 weeks, your friend has sold
more subscriptions than you.
Answer:
Your friend sold (5w + 1) subscriptions.
You sold (3w + 4) subscriptions.
The difference between what your friend sold and what you sold is
(5w + 1 ) - (3w + 4)
= 5w + 1 - 3w - 4
= 5w - 3w + 1 - 4
= 2w - 3
Answer: 2w - 3
If it is negative then it means the subscription sold by friend is less than the subscription sold by me and if it is positive then it means the subscription sold by friend is more than the subscription sold by me.
Brainliest plz
PLEASE HELP!!! Find the Least Common Multiple of these two monomials:
12a^4b^2c^5 and 40a^3b^7c^1
Answer:
The least common multiple of 12a^4b^2c^5 and 40a^3b^7c^1, is 1
Step-by-step explanation:
Rob has dimes and quarters in a jar the ratio of dimes to quarters is 3 to 7 the jar contains 47 quarters what is the total amount of money in the jar.
Summarize given information. For every 7 quarters, theres three dimes. So divide 47 by 7 and multiply by 3 to find the amount of dimes. If there is a remainder left, further action must be taken.
47 / 7 = 6 (with remainder left over)
In this case, only 42 would work therefore there are 5 extra quarters left. based on the number 6, there are 18 dimes and 42 quarters. Based on further calculations, of the five quarters left, there should be 2 dimes. So, the amount should become 20 dimes and 47 quarters leaving the percentage of 2.2 quarters per dime in this instant.
20 Dimes = $2
47 Quarters = $11.75
11.75 + 2 = 13.75
So there is about $13.75 in the jar.