Answer:
0.0039 = 0.39% probability that she beats all 4 levels on the first try.
Step-by-step explanation:
For each level, there are only two possible outcomes. Either she can win the new level on the first try, or she cannot. The probability of winning a level on the first try is independent of any other level. This means that the binomial probability distribution is used 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.
She knows that she can win a new level on the first try 25% of the time.
This means that [tex]p = 0.25[/tex]
Janice plays through 4 levels.
This means that [tex]n = 4[/tex]
What is the probability that she beats all 4 levels on the first try?
This is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.25)^{4}.(0.75)^{0} = 0.0039[/tex]
0.0039 = 0.39% probability that she beats all 4 levels on the first try.
What is the determinant of the coefficient matrix of the system 9x+ Oy + 5z -
6x+ Oy- 12z - 3
-3x+Oy- 2z = 6 ?
0
3
6
7
Answer:
A)0
just did test on edge
Step-by-step explanation:
Find the value of 1
and 1/10-1/5
9514 1404 393
Answer:
9/10
Step-by-step explanation:
(1 1/10) - 1/5 = (1 1/10) -2/10 = 1 + (1/10 -2/10) = 1 -1/10 = 9/10
__
1.1 -0.2 = 0.9 = 9/10
If (-1, y) lies on the graph of y = 2²x, then y =
Answer: look at the picture
Step-by-step explanation: Hope this help :D
What is the sum? Keep your answer in scientific notation.
3 x 10^6 and 3 x 10^6
Answer:
9 x 10^12
Step-by-step explanation:
for multiplying scientific notation, you multiply the numbers (3 x 3) and add the exponents together (6 + 6) to get 9 x 10^12
What is the product of (2x+1) and (2x-1)? O 4x2 0 4x2 - 4x-1 0 4x2 - 2x + 1 0 4x2.1
Answer:
Step-by-step explanation:
hello :
use identity : a²-b²=(a-b)(a+b)
(2x+1) (2x-1)= (2x)²-1 =4x²-1
Given sin r = 0.5, what is cos r?
enter your answer as a decimal, rounded to the nearest hundredth.
Answer:
0.877 but rounded it will be 0.88
What is the solution to the equation?
a+5 2/3=9
PLEASE HELP!!!!
Answer:
a = -25
Step-by-step explanation: a+ 52/3 =9
multiply both sides by 3
3(a+52)/3 = 9.3
Simplify
a+52=27
Subtract 52 from both sides
a+52-52=27-52
Simplify
a= -25
What’s the derivative of x^2 - 3
Answer:
[tex]\displaystyle \frac{dy}{dx} = 2x[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = x^2 - 3[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{d}{dx}[x^2] - \frac{d}{dx}[3][/tex]Basic Power Rule: [tex]\displaystyle y' = 2x[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
What is the product of the expressions (3)(−2)(−5)(7)?
Answer:
210
Step-by-step explanation:
3*10*7
30*7
210
Remember when multiplying even number of negative terms, it cancels out the negative.
What is the diameter of a hemisphere with a volume of 877 m^3 to the nearest tenth of a meter?
Answer:
15.0
Step-by-step explanation:
It’s on deltamath
SOMEONE PLZ HELP A$AP
Answer:
<
Step-by-step explanation:
I used a scientific calculator, 2² is 4 and when I take 4.7 × 10-³ minus 4 the answer is negative, so I'm guessing that it's a number less than 4.
Again, I haven't learned this yet since I'm 12 so it might be wrong.
can u plz help me? plz think ok
ps: Wetzucchini i know u try to hack me and put a vires on me
Answer:
Piece of wood 2
Step-by-step explanation:
Because he have to cut only 0,06 cm
1. A cardboard box is 5 feet long, 1.5 feet
wide, and 2 feet high. Which of the
following answers is closest to the
volume of the box in cubic feet?
A. 8.5 ft.3
B. 15 ft.3
C. 18 ft.3
D. 24 ft.3
Answer:
The correct answer is B.
Step-by-step explanation:
V=whl=1.5·2·5=15
Answer:
B. 15 ft.3
Step-by-step explanation:
multiply all the measurements to find the volume :)
Can anyone help me? I am stuck on this question! it would mean the world if u helped me! <3
Answer:
I think the answer is 12
Step-by-step explanation:
-5-4-3
3
The function graphed above is:
Increasing on the interval(s)
Decreasing on the interval(s)
Answer:
[tex]Interval = (-2,1.5)[/tex]
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Increasing interval
To do this, we simply identify the interval at which the value of the graph increases.
The value has an increased interval between -2 and 1.5 (of the x-axis).
Hence, the increasing interval is:
[tex]Interval = (-2,1.5)[/tex]
Solving (b): Decreasing interval
To do this, we simply identify the interval at which the value of the graph decreases.
The value has decreased intervals between - infinity and -2 and also 1.5 and infinity (of the x-axis).
Hence, the decreasing interval is:
[tex]Interval = (-\infty, -2)\ u\ (1.5,\infty)[/tex]
if pablo does a experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times
Why?
Answer:
As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.
Step-by-step explanation:
This is the sample for edmentum so you might to change it up a bit! Hope this help. <33
What is the total surface area of the rectangular pyramid below?
Answer:
c. SA = 596 ft²
Step-by-step explanation:
Area of the rectangular pyramid = Base area + area of the 2 equal lateral faces + area of the 2 lateral faces
Base area = length × width
Length = 16 ft
Width = 12 ft
Base area = 16 × 12 = 192 ft²
Area of the 2 lateral faces with the following dimension:
base = 12 ft
height = 15 ft
Area = 2(½bh) = 2(½*12*15) = 180 ft²
Area of the 2 lateral faces with the following dimensions:
base = 16 ft
height = 14 ft
Area = 2(½*14*16) = 224 ft²
✅Total surface area = 192 + 180 + 224 = 596 ft²
Emma placed 100 golf balls in a bag. Thirty six of the golf balls were red 24 were blue and the rest were green . If Emma drew one golf ball from the bag without looking what is the probability that the golf ball was red
Answer:
0.36
Step-by-step explanation:
R=36
B=24
total=100
probability that its red =36/100
40% of the class of 30 students are boys.
How many are girls?
Answer:
60% are girls
60% of 40=6*40=24
Step-by-step explanation: Hope this help :D
Is 2/10 smaller than 19/100?
Answer:
Step-by-step explanation:
no cause 2/10 is the same as 20/100
Help me this question is very confusing no wrong answers please
Answer:
10
Step-by-step explanation:
maximum= most walked
then minimum would be least amount walked
Answer:
Answer = 10
Step-by-step explanation:
Mark me as Brainliest
25. Angie inherits a collection of 4213 antique duck-calls from her grandmother. If she goes around to yard sales and adds another 3 duck-calls to the collection every weekend, what's an equation that models her total collection?
A) y = 3x
B) y= 3x - 4213
C) y= 3x + 4213
D) y = 4213x+ 3
Answer:
C
Step-by-step explanation:
Angie already has a fixed number of antiques - 4213 antiques. the rate of increase of ducks would depend on the number of weekends. this is the variable number of antiques
thus the equation is :
y = 4213 + 3x
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 35 arrests last month, 27 were of males aged 15 to 34 years. Use a 10% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p = 0.7; H1: p ≠ 0.7
H0: p = 0 .7; H1: p < 0.7
H0: p < 0 .7; H1: p = 0.7
H0: p = 0.7; H1: p > 0.7
H0: p ≠ 0.7; H1: p = 0.7
(b) What sampling distribution will you use?
The Student's t, since np < 5 and nq < 5.
The standard normal, since np < 5 and nq < 5.
The standard normal, since np > 5 and nq > 5.
The Student's t, since np > 5 and nq > 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Sketch the sampling distribution and show the area corresponding to the P-value.
WebAssign Plot WebAssign Plot
WebAssign Plot WebAssign Plot
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level ?
At the = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.
At the = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant.
At the = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
At the = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
There is sufficient evidence at the 0.10 level to conclude that the true proportion of arrests of males aged 15 to 34 in Rock Springs differs from 70%.
There is insufficient evidence at the 0.10 level to conclude that the true proportion of arrests of males aged 15 to 34 in Rock Springs differs from 70%.
Answer:
a) Level of significance [tex]\alpha = 0.01[/tex]
b) Standard normal
[tex]p = 0.75[/tex]
[tex]Z = 0.62[/tex]
c)
[tex]P = 0.5352[/tex]
d)
[tex]P > \alpha[/tex]
e) We fail to reject null hypothesis
Step-by-step explanation:
Let us say
The null hypothesis H_0 is p= 0.70 which means that Probability of arresting male of age ranging between 15 to 34 years is 0.7
Alternate hypothesis H_1 is p not equal to 0.7 which means that Probability of arresting male of age ranging between 15 to 34 years is not equal to 0.7
a) For 1% level of significance [tex]\alpha = 0.01[/tex]
b) Standard normal
[tex]n_p > 5\\n_q >5[/tex]
[tex]p = \frac{24}{32} = 0.75[/tex]
[tex]Z = \frac{(0.75-0.70)}{\sqrt{\frac{(0.7*0.3)}{32} } } = 0.62[/tex]
c)
[tex]P = 2 * 0.2676 = 0.5352[/tex]
d)
[tex]P > \alpha[/tex]
e) We fail to reject null hypothesis
Hence, there is not enough data to prove that at 1% level of significance the probability of number of male arrested between age 15-34 is 0.70
In a geometric sequence, a2 = 2, a3 = 20, & a4 = 200.
Which equation can be used to find the nth term of the sequence, an?
an = 10 * 2n-1
an = 2n-1
an = 1/5 * 10n-1
an = 2 * 18n-1
Answer:
the first one
the first one Step-by-step explanation:
the first one Step-by-step explanation:from the formula Un =ar^n-1
where a is 2
where a is 2 r = 20/2=10
where a is 2 r = 20/2=10 so Un= 10×2^n-1
that's all.....have fun
Answer:
C.) an =1/5 * 10n-1
Step-by-step explanation:
D.) is out of the question just at first look.
A.) is irregular to the sequence, giving you the wrong outputs.
B.) is also irregular to the sequence.
Leaveing your answer...
please help
me on this math problem
Answer:
12 feet
Step-by-step explanation:
[tex] \sin(41.5) = \frac{8}{x} [/tex]
[tex]x \sin(41.5) = 8[/tex]
[tex]x = \frac{8}{ \sin(41.5) } [/tex]
[tex]x = 12 [/tex]
(rounded to the nearest whole foot)
An expression is shown.
12. 12. 12. 12 +7(3-3-3-3+3)
Which of the following shows this expression written using exponents?
А 4^12 + 7 (53)
B 4^12 + 7 (43+3)
C 12^4+7 (3^5)
D 12^4 +7 (3^4+3)
Answer:
im pretty sure its D :) hope this helps you out.
Could you guys help me?
Answer:
its 1881
Step-by-step explanation:
banakz akaknsz a a
A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 7% vinegar. The chef wants to make 310 milliliters of a mixture that contains 19% vinegar. How much vinegar and how much Italian dressing should she use?
Answer:
Amount of vinegar. 100% : 20 milliliters
Amount of Italian dressing: 140 milliliters
Step-by-step explanation:
Let's call A the amount of vinegar. 100%
Let's call B the amount of Italian dressing . 12% vinegar
The resulting mixture should have 23% vinegar, and 160 milliliters.
Then we know that the total amount of mixture will be:
Then the total amount of pure antifreeze in the mixture will be:
Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation: We substitute the value of B into one of the two equations and solve for A.
Find the length of side XZ 12.6cm 29°
Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = = =
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = ≈ 14. 4 ( to 3 sig. figs )
Answer:
14.4
Step-by-step explanation:
Factorise the following:
a² - 144
Answer:
[tex]( a+ 12)(a - 12)[/tex]
Step-by-step explanation:
[tex] {a}^{2} - 144[/tex]
[tex] {a}^{2} - {12}^{2} [/tex]
Since both terms are perfect squares, factor using the difference of squares formula,
[tex] {a}^{2} - {b}^{2} = ( a+b )(a - b)[/tex]
where a=a and b=12.
[tex](a+ 12)(a - 12)[/tex]
Hope it is helpful....