The probability that the event management company will sign the contract with the dance studio is; c. 0.024
How to solve binomial probability?The general formula for binomial Probability is;
P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾
From the question, we want to find;
P(X = 75)
where;
Sample size; n = 120 and probability of success; p = 0.69
Thus, we have;
P(X = 75) = ¹²⁰C₇₅ * 0.69⁷⁵ * (1 - 0.69)⁽¹²⁰ ⁻ ⁷⁵⁾
P(X = 75) = 0.024
Read more about Binomial Probability at; https://brainly.com/question/2879525
A farmer plants five apple trees in 25 minutes. If he continues to work at a constant rate, how long will it take him to plant 200 trees?
five apple trees in 25 mins.
to find:the duration he'll take to plant 200 trees.
solution:let the time taken to plant 1 tree be x.
5x=25
=>x=25/5-5 mins
time taken to plant 200 trees:
trees=200*5
=1000mins
=16.67 hours.
therefore, he'll take 16.67 hours to plant 200 trees.
trees=200*5
=1000 mins
=16.67 hours.
he will take 16.67hours to plant 200 trees.
Which of the following would best be solved using completing the square?
A) 2x^3 - 12x^2 + 5x - 30 = 0
B)5x^2 + 7x = 12
C) x^2 = 81
D) x^2 + 4x - 21 = 0
The ratio of the number of peanuts to the number of cashews in a trail mix recipe is 5:3.
Complete the table to show the relationship between peanuts and cashews in the trail mix recipe. Enter a number in each box.
Answer:
40 and 16 for 8 servings
25 and 10 for 5 servings
15 and 6 for 3 servings
Step-by-step explanation:
Which expression is equivalent to m^2 - m - 12 ?
a) (m + 2)(m - 6)
b) (m - 3)(m + 4)
c) (m - 2)(m + 6)
d) (m + 3)(m - 4)
What is the volume of the rectangular prism?
Will mark brainlyest!
Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly selected 8- to 18-year-olds in the United States, 71% had a TV in their bedroom. What is the lower boundary of our confidence interval at the 99% level?
a. 6547
b. 6714
c. 6677
d. 6839
Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:
d. 68.39%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and estimate are given by:
[tex]n = 2002, \pi = 0.71[/tex]
Hence, the lower bound is given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839[/tex]
Hence the lower bound is of 68.39%, which means that option D is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
(-3)+5+(-5)+12=
Can someone break this down for me?
I just wanted to get some help ...
Thank you !
Answer:
[tex]9[/tex]
Step-by-step explanation:
[tex](-3)+5+(-5)+12=\\-3+5-5+12=\\5-5-3+12=\\-3+12=\\12-3=\\9[/tex]
Whenever you are doing a problem that says [tex]+(-n)[/tex] (n for number), it's the same as subtracting that number.
!!!!!help please!!!!!
to G H I would be 2x2x3.
What slope would make the lines
perpendicular?
y = -1/3x +5
y = [?]x+2
can someone help? Please :(
The circumference of a wheel is 302 centimetres. Determine the diameter of the wheel. Round your answer to the nearest tenth.
At Freddy’s fro yo shop 25 percent of the 44 frozen yogurt flavors are sugar free how many frozen yogurt flavors are sugar free
A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating, a procedure used to determine the age of an object, the researcher discovers that the fossil is 3600 years old.
Find the percent error
What other estimate gives the same percent error
Answer:
11.1%
Step-by-step explanation:
% error = [(3600-3200)/3600] * 100
= 11.1%
Find the equation of the line shown
Answer:
the equation of the line is 2y-x-1
pls give brainliest
Jerry is mowing his lawn.It takes him 1/6 of an hour to mow 3/20 of his yard. What proportion of the yard does jerry mow per hour
Answer:
If he mows 3/20 in 1/6 of an hour he'll mow 18/20 or 9/10 in one hour
which means the ratios are equal
1/6:3/20 = 1:18/20 = 1:9/10
Therefore, Jerry will mow 90% of the lawn in one hour
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may GOd bless you
The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it. If there are 8 dolls in the collection, which is closest to the combined height of the dolls?
A. 1.5 meters
B. 2 meters
c. 3.1 meters
D. 4 meters
Answer:
the answer is a for approval
If the discriminant is negative, you will have....
1) two irrational solutions
2) no solution
3) two real solutions
4) one solution
Answer:
Hi mate I got you
Step-by-step explanation:
A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.
A negative discriminant indicates that neither of the solutions are real numbers.
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
which expression is equivalent to 5^4 × (5^-3)^2?
Answer:
5^-2 or 1/25
Step-by-step explanation:
use index laws.
1. (A^m)^n = a^mn
5^4 x (5^-3)^2=
5^4 x 5^-6
2. A^m x A^n = A^m+n
5^4 x 5^-6
5^-2=
1/5²=
1/25
Answer:
[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{-2}[/tex]
Step-by-step explanation:
[tex]5^{4}\times \left( 5^{-3}\right)^{2} =5^{4}\times 5^{-6}=5^{4-6}=5^{-2}[/tex]
We can write:
[tex]5^{-2}=\frac{1}{5^{2}} =\frac{1}{25}[/tex]
Please help I really need to know the answer or how to find the answer for this question
Upper left corner
==========================================================
Explanation:
There are 2 red out of 1+2+2 = 5 total. The fraction 2/5 represents the probability of picking red on the first selection.
Assuming the marble picked is not put back, we have 2 green out of 5-1 = 4 left over. So 2/4 = 1/2 is the probability of picking green as the second selection, based on the previous event in the first paragraph.
Multipling those fractions gets us (2/5)*(1/2) = (2*1)/(5*2) = 2/10 = 1/5 as the probability of picking red, then green with no replacement.
what is the solution of y=-2x+4
Answer:
2x+4=y
Step-by-step explanation:
Y equals 2*x+4/2x+4 so you figure out what x equals the multiply it by 2, then add 4 and the number you get is how much y is.
If you didnt understand I am very sorry. I am trying my best to explain.
Help me guys!
Show that the locus of the middle points of normal chords of the parabola y² = 4ax is
y⁴ - 2a(x - 2a)y² + 8a⁴=0
Chord of Contact:-
The chord joining the points of contact of two tangents drawn from an external point to a parabola is known as the chord of contact of tangents drawn from external point.Equation of the normal chord at any point (at², 2at) of the parabola y² = 4ax is
y + tx = 2at + at³ ....(i)
Look at the attached figure
But if M (x₁, y₁) be it's middle point its equation must be also,
T = S₁
:⟹ yy₁ - 2a (x + x₁) = y₁² - 4ax₁
:⟹ yy₁ - 2ax = y₁² - 2ax₁ .....(ii)
Therefore, from eqs. (i) and (ii) are identical, comparing, them
[tex] \sf \frac{1}{y_1} = \frac{t}{ - 2a} = \frac{2at + {at}^{3} }{ {y_1}^{2} - 2ax} \\ \\ \sf \: from \: first \: two \: relations \: ,t = - \frac{2a}{y_1} ....(iii)\\ \\ \sf \: from \: first \: two \: relations \: , \: \frac{t}{ - 2a} = \frac{2at + {at}^{3} }{{y_1}^{2} - 2ax_1} [/tex]
[tex] \implies \sf \: \frac{{y_1}^{2} - 2ax_1}{ - 2a} = 2a + {at}^{2} \: \\ \\ \implies \sf \: \frac{{y_1}^{2} - 2ax_1}{ - 2a} = 2a + a \bigg \lgroup \frac{ - 2a}{y_1} { \bigg \rgroup}^{2} \qquad\{ \: from \: eqs. \: (iii) \} \\ \\ \implies \sf \:\frac{{y_1}^{2} - 2ax_1}{ - 2a} = \frac{2a{y_1}^{2} + 4 {a}^{3} }{{y_1}^{2}} \\ \\ \implies \sf \: {y_1}^{4} - 2ax_1 {y_1}^{2} = - 4 {a}^{2} {y_1}^{2} - 8 {a}^{4} \\ \\ \implies \sf \: {y_1}^{4} - 2a(x_1 - 2a){y_1}^{2} + 8 {a}^{4} = 0[/tex]
[tex] \sf hence, \: the \: locus \: of \: middle \: point \: (x_1,y_1) \: is \: \\ \\ \qquad \qquad \: \sf \: {y_1}^{4} - 2a(x_1 - 2a){y_1}^{2} + 8 {a}^{4} = 0[/tex]
help!! Graph y>−5/4x+5
Answer:
it's the top right.
Step-by-step explanation:
hope this helps.
what is the cost of 23.5 gallons of gas
Answer:
Too much
Step-by-step explanation:
I did the math myself
need help will give brainlist
Answer:
3rd option
Step-by-step explanation:
- 1 ( [tex]\frac{3x}{2y}[/tex] )
- 1 is multiplying the complere fraction , not just 1 part of it , so
= - [tex]\frac{3x}{2y}[/tex]
I did an exam I think 3 months ago and I got F Yesterday I did the same exam I did 3 months ago and got C+ is that good or bad?
Answer:
It's good. Because over those 3 months your grade increased.
Step-by-step explanation:
Answer: hii
Thats really good, That means you have improved a lot!
Step-by-step explanation:
If you got a f and then get a c later on it means you gotten better at the topic for the exam.
Hopefully this helps you!
- Matthew :)
Select the place where the digit 6 sits in this number. 607,182
Answer:
Hundred Thousand
Step-by-step explanation:
Hundred Thousand
I hope it helped you
Answer:
Hundred thousand
Step-by-step explanation:
The digit 6 is in the hundred thousand place.
To understand place values, see the attached file.
[tex]\rule[225]{225}{2}[/tex]
You are analyzing the survey results tabulated below. The first survey question (yes/no) is whether the respondent is over 40, and the second survey question (low-cal, regular) is whether the respondent prefers your low-cal butter or the regular.
Answer:
Step-by-step explanation:
x over 4 space equals space 6 over 8 ; x=
Answer: x=3
Step-by-step explanation: This is a porportion, meaning that the numbers are set equal to each other. Look at your denominators, 4 and 8? What do they have in common? In this case, they have a factor of 2 in common, and 8 is 4x2. So then we look at the numerators now. What times 2 equals to 6? Your answer then becomes 3.
What is the third angle on a triangle with angels of 45 and 45?
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \huge\mathsf \pink{90°}[/tex]
X + 45° + 45° = 180° X + 90° = 180°X + 90° - 90° = 180° - 90° X = 90°If 65 is 20% of x, then x = ?
Answer:
325
Step-by-step explanation:
I got it right before
Answer:
325
Step-by-step explanation: