Answer:
the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )
Step-by-step explanation:
Given the data in the question;
sample mean x' = 700
sample size n = 64
the standard deviation σ = 100
99% confidence interval for the true mean number of mosquitos caught in all mosquito traps = ?
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Z-critical [tex]Z_{\alpha /2[/tex] = 2.575 { from table }
So, to get the 99% confidence interval;
⇒ x' ± [tex]Z_{\alpha /2[/tex] ( σ / √n )
we substitute
⇒ 700 ± 2.575 ( 100 / √64)
⇒ 700 ± 2.575( 12.5 )
⇒ 700 ± 32.1875
⇒ ( 700 - 32.1875 ), ( 700 + 32.1875 )
⇒ ( 667.81, 732.19 )
Therefore, the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )
PLEASE HELPPPPPPPPP MEEE!
Let's calculate
4/15×285 + 3/20×320 = 124
124 students are participating in these exercises.
7 students is participating
Solve for X. Round to the nearest tenth of a degree, if necessary.
7.9
4.1
R
S.
Answer:
30
Step-by-step explanation:
this is a right triangle which is 30 60 90 and the smaller angle is always 30
Answer: 59.7
Step-by-step explanation:
please Help! Urgent!!
Answer:
Step-by-step explanation:
= [tex] ( {p}^{ \frac{1}{2} } )^{3} \times \sqrt{p ^{6} } [/tex]
= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ \frac{1}{2} × 6} } [/tex]
= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ 3} } [/tex]
= [tex] ( {p})^{ \frac{3}{2} + 3} [/tex]
= [tex] ( {p})^{ \frac{3 + 3}{2}} [/tex]
= [tex] ( {p})^{ \frac{9}{2}} [/tex]
Make a the subject of the formula.
please help asap!!!!!
Answer:
Step-by-step explanation:
W=[tex]\sqrt{x-a/a}[/tex]
squaring both sides
W^2=([tex]\sqrt{x-a/a}[/tex] )^2
W^2=x-a/a
wa=x-a
a=x-a/w
[tex] \boxed{\boxed{\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}}}[/tex]
[tex]w = \sqrt \dfrac{{x - a} }{a} [/tex][tex]w {}^{2} = \dfrac{x - a}{a} [/tex][tex]w {}^{2} = \dfrac{x}{a} - \dfrac{a}{a} [/tex][tex]w {}^{2} = \dfrac{x}{a} - 1[/tex][tex] {w}^{2} + 1 = \dfrac{x}{a} [/tex][tex] \dfrac{1}{w {}^{2} + 1 } = \dfrac{a}{x} [/tex][tex]a = \dfrac{x}{ {w}^{2} + 1 } [/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38) (−5, −38) (5, 38) (5, −38)
Answer:
(5,38)
Step-by-step explanation:
Use graphing calculator and the answer should be the point where the line crosses each other.
Answer:
5,38
Step-by-step explanation:
its correct!
leo le debe 15.00 pesos. Si su madre le da 60.00 pesos de paga y se gasta 20.00 con sus amigos
¿cuanto dinero le queda?
¿tendrá pendiente alguna deuda?
Answer:
Le quedan 25 pesos
No tendrá pendiente ninguna deuda
Step-by-step explanation:
60-15-20=25
if m<1=25 what is the measure of an angle that is complementary to <1
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
Plz help plz "??????????????
The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).
How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o
Answer:
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
Step-by-step explanation:
Given
[tex]f(x) =\frac{1}{4}3^x -6[/tex]
[tex]g(x) \to[/tex] translate f(x) 9 units up
Required
Find g(x)
The translation rule is:
[tex]g(x) \to f(x) + 9[/tex]
So, we have:
[tex]g(x) = f(x) + 10[/tex]
[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]
[tex]g(x) = \frac{1}{4}3^x +3[/tex]
find solution y ( -7-y)=0
Answer:
y = 0, y= -7
Step-by-step explanation:
[tex]y(-7-y) = 0\\=> y =0\ ,\ -7 -y =0 => y = -7[/tex]
Need this ASAP with the work
Answer:
Step-by-step explanation:
x/2-5=x/4 +2
x/2-x/4=2+5
x*4-x*2/8=7
4x-2x=8*7
2x=56
x=56/2
x=28
Answer:
J
Step-by-step explanation:
Automatically 1 and 8 are removed as answers since they are too small and go into the negatives, making the other side impossible to be equal. Then just substitute with -20 and 28 and to see which is correct.
How many solutions are there to this equation?
3(3x−1)=6x−3
A. no solutions B. one solution C. two solutions D. infinite solutions
Answer:
B. One solution
Step-by-step explanation:
The only solution is x = 0
How do you simplify √(29-12 √5)?
Answer:
2 sqaure root 5 -3
Step-by-step explanation:
See the Image below:)
(2[tex]\sqrt{5}[/tex] - 3)
What is simplification?The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying by conjunction elimination in logic inference to produce a formula that is simpler but typically non-equivalent.
Given equation [tex]\sqrt{(29 - 12\sqrt{5}) }[/tex]
[tex]\sqrt{(29 - 12\sqrt{5}) }[/tex] = [tex]\sqrt{(9 + 20 - 2 x 3 x 2\sqrt{5}) }[/tex]
= [tex]\sqrt{(3^{2} + (2\sqrt{5} )^{2} - 2 x 3 x 2\sqrt{5}) }[/tex]...…(1)
the equation is now in the form of (a - b)² = a² + b² + 2ab
equation (1) can be written as where a = 2√5 and b = 3
[tex]\sqrt{(2\sqrt{5} - 3 )^{2} }[/tex] = 2√5 - 3
Hence the simplified equation is 2√5 - 3
Learn more about simplification;
https://brainly.com/question/23509407
#SPJ2
What are the zeros of the function f(x) = x2 – 10x + 21?
help bro
Answer:
3, 7
Step-by-step explanation:
"Zeros" means solutions to the equation f(x) = 0. In other words, what are the values of x that make the function's value equal to zero?
This one can be solved by factoring.
[tex]x^2-10x+21=0\\(x-7)(x-3)=0\\x-7=0 \text{ or } x-3=0\\x=7 \text{ or } x=3[/tex]
Which statement is given in the diagram?
Answer:
D
Step-by-step explanation:
Someone please help!
A. Match the given solid figures to its corresponding formulas. Write the
letter of the correct answer in the blank.
please help
This is a Right answer....
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family that has four children, what is the probability that it is not ideal
Answer:
0.3125 = 31.25% probability that it is not ideal.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. 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.
0.5 probability of a children being a girl:
This means that [tex]p = 0.5[/tex]
If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?
Not ideal is less than two girls, so this is P(X < 2).
Four children means that [tex]n = 4[/tex]. So
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]
[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125[/tex]
0.3125 = 31.25% probability that it is not ideal.
https://www.amphi.com/cms/lib/AZ01901095/Centricity/Domain/4604/6th%20ELA%20website%20040620.pdf
I HELP FOR THIS ANSWER THIS ANSWERS
THIS FOR GRADE PLEASE HELP
Answer:
I tried but it said 4 0 4 e r r o r i d k why
Step-by-step explanation:
somebody help me and show your work pls
Answer:
40x(14)
Step-by-step explanation:
5x(2)y(0)(2x(4)(3)
5x(2)x1) x8x(12)
5x(2)x8x(12)
40x(14)
Raden says that a trapezoid is a
quadrilateral because it has four sides.
Amanda says that a trapezoid is a
parallelogram because it has a pair of
parallel sides. Who is correct? Explain.
Answer:
Raden is correct
Step-by-step explanation:
A quadrilateral is any polygon that has four sides and four angles.
A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides and angles of a parallelogram are equal. Also, the diagonals are equal to each other and bisect each other.
A trapezoid is a quadrilateral with atleast a pair of parallel sides. It has no perpendicular sides or right angles.
Raden is correct because a trapezoid is a quadrilateral since it has four sides. Amanda is not correct because for a trapezoid to be a parallelogram it must have two pairs of parallel sides and not just a single pair of parallel side.
Plz help me well mark brainliest if correct
Answer:
I think it is b) 70
Step-by-step explanation:
Arrange the numbers in ascending order then find the middle number.
Answer:
70
Step-by-step explanation:
Write down all the data points: 20, 40, 50, 70, 80, 90, 110 and identify which is in the very middle.
a rectangle has a base of 10 and a height of 12 what is it area
Answer:
120
hope this helps
have a good day :)
Step-by-step explanation:
120 if not that 60
Step-by-step explanation:
hope this helped
Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB
Answer: a b f
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
pls help it’s a multiple answer choice
Answer:
E and A
Step-by-step explanation:
10.3.23
Question Help
o
In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are
all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?
The probability is
o
(Simplify your answer.)
Answer:
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: High school student.
Event B: Is on the swin team.
Probability of selecting a high school student:
Of the 1500 students, 200 are on high school. So
[tex]P(A) = \frac{200}{1500}[/tex]
Probability of selecting a high school student who swims:
Of the 1500 students, 45 are high school students who swim. So
[tex]P(A \cap B) = \frac{45}{1500}[/tex]
What is the probability that a high school member selected at random is on the swim team?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]
The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]
Any help at all would be appreciated!
Answer:
√24
Step-by-step explanation:
Answer:
[tex] \sqrt{24} [/tex]
as
[tex] \sqrt{25} = 5[/tex]
so
[tex] \sqrt{24} \: is \: nearly \: equal \: to \: 5[/tex]
also it is smaller than 5 and the number shown on the number line is left to 5 so it must be smaller than 5
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
6.5 / 12 = x / 24
x = 6.5 × 24 / 12
x = 6.5 × 2
x = 13
Answer:
Step-by-step explanation:
x/y=x/y
6.5/12=x/24
do cross multiplication
12x=24*6.5
x=156/12
x=13
Find the value of x. Please help!!!!
Answer:
9°
Step-by-step explanation:
In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.
Sum of angles in a ∆ = 180°
80° + m/_2 + m/_2 = 180°
80° + (5x + 5) + (5x + 5) = 180°
10x + 90° = 180°
10x = 90°
x = 9°
HELP ME PLEASE I BEG YOU!!!!!
Answer:
will you msg me . . . . .. . ..
Answer:
422 cm²
Step-by-step explanation:
Small rectangular prism: 3*4 + 8*3 + 8*3 + 8*4 + 8*4 = 124
Large rectangular prism: 5*7 + 5*7 + 10*5 + 10*5 + 10*7 + (10*7 - 4*3 ) = 298
Total: 124 + 298 = 422 cm²
*Calculate only areas of surfaces showing and add them up
The small rectangular prism has 5, and the large rectangular prism has 6 (with a 4*3 rectangle on its top surface covered)