Answer:
x = (-150)/49
Step-by-step explanation:
Solve for x:
49 x + 150 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 150 from both sides:
49 x + (150 - 150) = -150
Hint: | Look for the difference of two identical terms.
150 - 150 = 0:
49 x = -150
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 49 x = -150 by 49:
(49 x)/49 = (-150)/49
Hint: | Any nonzero number divided by itself is one.
49/49 = 1:
Answer: x = (-150)/49
The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to
Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
PLEASE HELP I NEED HELP WITH AN ALGEBRA 2 QUESTION ILL GIVE BRAINLEST
Answer:
the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2
Step-by-step explanation:
all possible factors:
±3/2, ±1/2, ±3, ±1
2x³ + 3x² - 8x + 3
let '2' = p and let '3' = q
factors of 'p' are 1 and 2
let '3' = q
factors of 'q' are 1 and 3
possible factors are q/p
PLEASE help!!!!
Im timed!
Answer:
it would be B
Step-by-step explanation:
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
Need help don’t know what to do I’m confused
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
Solve the Equation
P + 75 = 100.
Answer:
P= 25 so
25+75= 100
Step-by-step explanation:
100-75
Answer:
P=25
Step-by-step explanation:
P+75=100
-75 -75
_________
P=25
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
Select all the correct answers.
Janine needs to calculate the value of log , 81
Which expressions could she input into her calculator to find this value?
In 81
12
✓
in 81
In 12
log 81
log 12
log 81
In 12
log 12
log 81
Answer:
In 81 / In 12 ;
log 81 / log 12
Step-by-step explanation:
Log 12 81
Log 81 base 12
According to rule of logarithm :
Log 81 base 12 = (log 81 base 10) / log 12 base 10)
Obtaining the value :
(log 81 base 10) / log 12 base 10) = 1.7684564
Using trial and error method :
log 81 / In 12 = 0.7680308
In 81 / In 12 = 1.7684564
In 81 / 12 = 0.3662040
Hence, the correct answers are :
In 81 / In 12
log 81 / log 12
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
A
-50, 35, -24.5,..;5th term
The 5th term of the sequence is 70
Answer:
Step-by-step explanation:
The first term here is -50 and the common ratio is 0.70. Note that the second term is 0.70(50) = 35.
The formula a(n) = a(0)*r^(n -1) becomes a(n) = -50*0.70^(n -1), and so
the 5th term is a(5) = -50*0.70^4 = -12.005
I need help please.
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
What number is 120% of 16?
Answer:19.2
Step-by-step explanation:
Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3
Answer:
y -y1= m(x-x1) is in point slope form
y --9 = -2 (x-10)
y+9 = -2(x-10)
Step-by-step explanation:
HOPE THIS HELPS!!!
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
Answer:
(6x^(3)+11x^(2)-19x+5)-:-(3x-2)
Step-by-step explanation:[tex]63+112+32+1[/tex]
for some reason it showed that but yeah hope this helps!
List two examples of words/phrases that describe the mathematical operation of multiplication.
Answer:
Multiplied, Group Addition
Step-by-step explanation:
Again, all I know of.
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?
Group of answer choices
4/8
0
6/8
6/16
Corey need a 24 boards that are 47 1/2 inches long
A. How many feet a boards should he buy? Explains.
B. if you can only buy 8-fot boards, how many should he buy? explain
Answer:
Step-by-step explanation:
1 foot = 12 inches
47.5 inches × (1 foot)/(12 inches) = (47.5/12) feet
24 boards × ((47.5/12) feet)/board = 95 feet
:::::
(8 feet)/board × (12 inches)/foot = (96 inches)/board
96/47.5 = 2 remainder 1
An 8-foot board provides two 47.5" boards, with an inch wasted.
He needs to buy 12 of the 8-foot boards.
2
If f(x) = -2x2- x, what is f(2) and f(3)?
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answer:
2 2/5
Step-by-step explanation:
3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5
Answer:
3/10 of the pizza is given to each person
Step-by-step explanation:
total number of people= 10
number of pizzas=3
as a fraction, this would be 3/10
you can also use this as 30 out of 100 if that's easier to understand.
Hope this helps ༼ つ ◕_◕ ༽つ
121/2% in to a fraction
9514 1404 393
Answer:
1/8
Step-by-step explanation:
You can replace % with /100 to make it a fraction.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
__
Or, you can reduce the decimal fraction.
12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8
Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost
Answer:
.33 cents
Step-by-step explanation:
1.488 divided by 2.1 rounded to nearest tenth
What is 83% as a decimal SHOW WORK IF U CAN HELP ASAP!!
0.83Answer:
Step-by-step explanation:
83% means 83 per 100 or 83/100 if you divide 83 by 100 you get 0.83
Answer:
.83
Step-by-step explanation:
to turn a percentage into a number you have to divide by 100, meaning you need to move the decimal point to the left 2 times so you get:
.83
hope this helps!!
y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:
Answer: the initial number of water lily’s
Step-by-step explanation:
the value 1.106 represents the population increase rate
edge 2021
The value 3.915 represents the initial population of water lilies
Expoenential equationsThe standard exponential equation is given as y = ab^x
where;
a is the initial populationb is the rate (growth or decline)Given the exponential equation y = 3.915(1.106^x
On comparison, we can see that;
a = 3. 915
This shows that the value 3.915 represents the initial population of water lilies
Learn more on exponential equation here: https://brainly.com/question/2456547
Max walks 10 meters in 4 seconds what is his walking rate in meters per second
Answer:
2.5 m/s
Step-by-step explanation:
10/4 gets the answer. it is just distance over time
Answer: 2.5 m/s
Step-by-step explanation:
28 decreased by 2.6%
Answer:
Please check the explanation.
Step-by-step explanation:
Given
28 decreased by 2.6%First we need to determine the percentage decrease such as:
Percentage decrease = 2.6% of 28
= 2.6/100 × 28
= 0.026 × 28
= 0.73
New value can be determined using the formula
New vaue = 28 - percentage decrease
= 28 - 0.73
= 27.27
If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys
Answer:
b right handed boys
Step-by-step explanation:
