Answer:
0.0250047
Step-by-step explanation:
Given that :
Proportion who need correction glasses = 70%
Number of trials = 7
Probability that exactly 2 needs correction glasses :
Using a binomial probability formula :
P(success) = p = proportion who need glasses = 0.7
P(x =x) = nCr * p^x * (1 - p)^(n - x)
P(x = 2) = 7C2 * 0.7^2 * 0.3^(7 - 2)
P(x = 2) = 7C2 * 0.7^2 * 0.3^5
P(x = 2) = 21 * 0.49 * 0.00243
P(x = 2) = 0.0250047
what’s the answer to this problem? ASAP
A 20ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, about how high does the top of the ladder reach?
Answer: 19.8 ft
Step-by-step explanation:
Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.
The formula says a^2 + b^2 = c^2
Where a and b are the two legs and C is the hypotenuse.
In this situation, the hypotenuse will be length of the ladder , and either a or b will be the length of the ladder from the building or the length of how long the ladder.
a will be 3 , and c will be 20. Input in the values into the formula and solve for b.
3^2 + b^2 = 20^2
9 + b^2 = 400
-9 -9
b^2 = 391
b = [tex]\sqrt{391}[/tex]
b = 19.77371 round to the nearest tenth is , 19.8
eighteen individuals who use a particular form of social media were assigned a new user interface to use when logging into their accounts. after using the new user interface for a week, each individual was asked to rate how easy or hard the new user interface was to use on a scale from 1 (extremely easy) to 9 (extremely hard). which of the following correctly identifies why this is not a well designed experiment?
A. There was a lack of control because not all individuals in the study used login passwords of the same length
B. The individuals may not have been randomly selected
C. There was not enough replication because the individuals used the new user interface for only one week.
D. there was a lack of control because not all individuals in the study use social media
E. the study was not comparative- only one treatment was used.
Answer:
E: The study was not comparative—only one treatment was used.
Step-by-step explanation:
Well-designed experiments should involve comparisons of at least two treatment groups, one of which could be a control group.
A well-designed experiment investigates design features that achieve the research to rule out sources of variation as reasons for the observed relationship between both the independent variable(s) and the predictor variables.
Studies that are well should include a comparison of at least two treatments, one of which may be a controlled study.Eighteen people using a specific type of social media are given a different user interface to utilize when login onto their account. After a day of just using the new user interface, each participant was asked to rate as difficult or easy it was to use the new interface on a scale of 1 to 9.The study was not properly comparative since it identified just one treatment that was not used as the well-designed study.Therefore, the final answer is "Option E".
Learn more:
brainly.com/question/11496679
Pablo has scored 33, 18, 28, and 17 points in his four basketball games so far. How many points does he need to score in his next game so that his average
(mean) is 25 points per game?
Answer:
he´ll need toscare about 10-15 more to reach his mean
Step-by-step explanation:
20points please please help!!!!!!
Solve the equation for x^2=
625
Answer:
x = ±25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Multiple RootsStep-by-step explanation:
Step 1: Define
x² = 625
Step 2: Solve for x
Square root both sides: x = ±25Step 3: Check
Plug in x into the original equation to verify it's a solution.
x = -25
Substitute in x: (-25)² = 625Exponents: 625 = 625Here we see that 625 does indeed equal 625.
∴ x = -25 is a solution to the equation.
x = 25
Substitute in x: 25² = 625Exponents: 625 = 625Here we see that 625 does indeed equal 625.
∴ x = 25 is a solution to the equation.
Solve for u
-5(-5u+5)-8u=5(u-5)-4
[tex] - 5( - 5u + 5) - 8u = 5(u - 5) - 4 [/tex]
[tex]25u - 25 - 8u = 5u - 25 - 4[/tex]
[tex]17u - 25 = 5u -29[/tex]
[tex]17u - 5u = - 29 + 25[/tex]
[tex]12u = - 4[/tex]
[tex]u = \frac{ - 4}{12} [/tex]
[tex]u = - \frac{1}{3} [/tex]
4. After taking 20% off the original price, Amber paid $35 for her dress. What was the original price? A. $63.75 B. $54.25 O C. $49.50 D. $43.75
Answer: D. $43.75
Step-by-step explanation:
You and your friend play a trivia game. You answer 64% of the questions correctly and your friend answers 0.74 of the questions correctly. What is the minimum number of questions in the game?
Answer:
higher then 64
Step-by-step explanation:
Since, [tex]64\% = \frac{64}{100} \ \ Or \ \ =\frac{32}{50}\\\\[/tex] and [tex]74\% = \frac{74}{100} \ \ Or \ \ = \frac{37}{50}\\\\[/tex]
After simplifying both fractions, the denominators of both fractions are 50.As a consequence, the show's minimum lot of questions will be 50.Learn more about the minimum number:
brainly.com/question/1724612
which of the following shows these numbers in order from least to greatest?
[tex] \sqrt{213.16} [/tex]
[tex]14\frac{1}{3} [/tex]
15
[tex]13 \frac{12}{8} [/tex]
[tex] {2}^{4} [/tex]
[tex] \sqrt[3]{2197} [/tex]
9514 1404 393
Answer:
[tex]\sqrt[3]{2197}, 14\frac{1}{3}, 13\frac{12}{8}, \sqrt{213.16}, 15, 2^4[/tex]
Step-by-step explanation:
The values of the given numbers, in order, rounded to 1 decimal place are ...
[tex]\begin{array}{cc}\sqrt{213.16}&14.6\\14\frac{1}{3}&14.3\\15&15.0\\13\frac{12}{8}&14.5\\2^4&16.0\\\sqrt[3]{2197}&13.0\end{array}[/tex]
Their least-to-greatest ordering is shown above.
Round 48.612 to the nearest whole number.
Which one should I choose
Can anyone help me with this? If u are going to answer please know what u are doing
Answer:
x- intercept (5, 0)
y- intercept (0, 2)
Step-by-step explanation:
x- intercept occurs at y= 0.
To find the x- intercept of the linear equation, substitute y= 0 into the equation.
4x +10y= 20
When y= 0,
4x +10(0)= 20
4x= 20
x= 20 ÷4 (÷4 on both sides)
x= 5
Thus, the x-intercept is (5, 0).
y-intercept occurs at x= 0.
4x +10y= 20
When x= 0,
4(0) +10y= 20
10y= 20
y= 20 ÷10 (÷10 on both sides)
y= 2
Thus, the y-intercept is (0, 2).
How many solutions does the system have?
5x−y=2
5x−y=−2
Answer:
10
Step-by-step explanation:
Answer:
khan says no solution
Step-by-step explanation:
khan knows best
NEED HELP PLZ!
Find 4B.
Answer:
D or the fourth option
Step-by-step explanation:
because you just multiply the numbers in the bracket by 4. so it will be 8, -16, 20, -4.
I hope this helped. :)
Tyler used 27.05 gallons of gas Marie used 6.2 times as many gallons of gas as Taylor how many gallons of gas did Marie use ?
167.71 = Marie
27.05 = Tyler
Answer:
167.71
Step-by-step explanation:
Multiply 27.05 and 6.2.
Find the zeros for each function
1. f(x)= x^3 + 12x^2 + 21x + 10
2. f(x) = x^4 + x^3 - 11x^2 - 9x + 18
9514 1404 393
Answer:
zeros are -10, and -1 (multiplicity 2)zeros are {-3, -2, 1, 3}Step-by-step explanation:
For higher-degree polynomials I find it extremely useful to use a graphing calculator to find the zeros.
The usual approaches are ...
use the rational root theoremtry values of x=±1narrow the search using Descartes' rule of signsestimate maximum or minimum root values__
1. Rational roots will be factors of 10, so ±1, ±2, ±5, or ±10. The signs are all positive, so there are no positive real roots. The sum of odd-degree coefficients is the same as the sum of even-degree coefficients, so -1 is one of the roots. Removing that using synthetic division gives you ...
f(x) = (x +1)(x^2 +11 +10)
The quadratic (more or less obviously) factors as (x+1)(x+10), so the complete factorization is ...
f(x) = (x +1)^2(x +10)
and the zeros are {-10, -1, -1}.
__
2. Rational roots will be factors of 18, so will be ±1, ±2, ±3, ±6, ±9, ±18. The sum of coefficients is 0, so x=1 is a root. The rule of signs tells you that there are 2 positive real roots, so there is one more positive real root. Synthetic division tells you the factoring so far is ...
f(x) = (x -1)(x^3 +2x^2 -9x -18)
We note that the first two coefficients have the same ratio as the last two, so we can factor by grouping.
x^3 +2x^2 -9x -18 = x^2(x +2) -9(x +2) = (x^2 -9)(x +2)
Factoring the difference of squares gives you the complete factorization, hence all of the roots. (The zeros are the values of x that make the factors zero.)
f(x) = (x -1)(x +2)(x -3)(x +3)
The zeros are {-3, -2, 1, 3}.
If Mrs. Kliesch’s Thrive class has 9 students and 6 of the students are girls, what percent of her class is girls?
Answer:
30% of girls in her class
PLEASE HELP!!
multiplying complex numbers standard form
3i(-5+i)
Answer:
-3-15i
Step-by-step explanation:
3i*-5 = -15i
3i*i = 3i^2 (i^2 = -1)
= -3-15i
I need help pleasssssss
Answer:
49.5%
Step-by-step explanation:
Mr.smith has a maximum of $50 to spend at a museum a ticket to the museum cost $7 he can spend p dollars to buy other things at the museum which inequality can be used to find the possible values for p?
Answer:
https://brainly.com/question/11804436
Step-by-step explanation:
USE LINK!!!!
Simplify: 4x + (−6x)
Answer: -2x
Step-by-step explanation:
4x+(-6x)
When there is a + in front of an expression in a parentheses, the expression remains the same.
4x-6x
Collect like terms
-2x
At a dog shelter, a 26-pound bag of dog food will feed 40 dogs. How many dogs would you expect to feed with a 13-pound bag of dog food? (Input only whole numbers.)
Answer:
the answer is 20 dogs
Step-by-step explanation:
there you go
:)
ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
D
Step-by-step explanation:
Area of circle: π*r^2
[tex]\pi *(40^{2} -18^{2} )[/tex]
=3.14*1276
=4006.64
If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth of the county's population, estimate the population of the county in 2023. (P0 is the initial population. Round your value of h to four decimal places. Round your answer to the nearest whole number.)
Answer:
126807 people
Step-by-step explanation:
Given;
P= Poe^ht
Where;
P= population at time t
Po= population at the beginning
h= growth constant
t= time
1998- 2008 is ten years.
110429= 100,000e^10h
1.1 = e^10h
ln(1.1) = lne^10h
0.095 = 10h
h= 0.0095
In 2023, t = 25 years
P= 100,000e^(0.0095 × 25)
P= 126807 people
) Solve for x: –3(4x – 1) = –6(2x + 3)
Answer: there's no solution
Step-by-step explanation:
first, we remove the parenthesis.
-12x + 3 = -12x - 18
then, we cancel equal terms.
3 = -18
that doesn't work, so it makes a false statement.
no solution.
19. If x + 3 is a factor of the
polynomial h(x), then_____
is a zero or solution.
If x + 3 is a factor of the polynomial h(x), then -3 is a zero or solution.
An ant crawls across a yard. Its distance from an anthill
, as a function of time,
is modeled by y=-3x + 107.
Which statement best describes the function?
O
A. The function is linear at some points and nonlinear at other points,
B. The function is nonlinear.
c. Not enough information is given to decide.
O
D. The function is linear.
SUBMIT
Answer:
The function is linear at some points and nonlinear at other points,
Step-by-step explanation:
An ant crawls across a yard. Its distance from an anthill
, as a function of time,
is modeled by y=-3x + 107.
Answer: D : It’s linear
.
Step-by-step explanation:
3 3/7 x 2
Whats the answer?
Answer:
6 6/7
Step-by-step explanation:
Turn the mixed fraction into a improper fraction
24/7*2
Now just multiply
48/7
6 6/7
3 3/7 = 24/7
24/7 x 2 = 48/7 OR 6 6/7
1. In the diagram, c || d. Identify three numbered
angles that have a measure of 68º.
1
2
3
5
6
7
680
Answer:
1, 4, and 5 all have a measurement of 68 degrees
Step-by-step explanation:
they are vertical and corresponding angles