Answer:
0.1732 = 17.32% probability exactly 24 residents own a home.
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. 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.
78% of residents in Summerville own a home.
This means that [tex]p = 0.78[/tex]
30 residents are randomly selected:
This means that [tex]n = 30[/tex]
Find the probability exactly 24 residents own a home.
This is P(X = 24).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 24) = C_{30,24}.(0.78)^{24}.(0.22)^{6} = 0.1732[/tex]
0.1732 = 17.32% probability exactly 24 residents own a home.
What is 4.6m2 in cm2 ?
Answer:
4.6
Step-by-step explanation:
Find the area of the figure, in square meters, to 1 decimal place.
Answer:
Where is the picture of the figure
Step-by-step explanation:
The sum of a number and 4 times its reciprocal is 13/3
Find both possible numbers.
Answer:
3 ; 4/3
Step-by-step explanation:
x + 4(1/x) = 13/3
x + 4/x = 13/3
x^2 -13/3x + 4 = 0
3x^2 - 13x + 12 = 0
Δ = 169 - 144 = 25
x1 = (13 + 5)/6 = 3
x2 = (13-5)/6 = 4/3
Answer:
4/3 or 3
Step-by-step explanation:
Let, the number be x.
According to the question,
x+4×1/x=13/3
or, x+4/x=13/3
or, x^2+4/x=13/3
or, 3(x^2+4)=13x
or, 3x^2+12=13x
or, 3x^2-13x+12=0
or, 3x^2-(4+9)x+12=0
or, 3x^2-4x-9x+12=0
or, x(3x-4)-3(3x-4)=0
or, (3x-4)(x-3)=0
Either, Or,
3x-4=0 x-3=0
or, 3x=4 .•. x=3
.•. x=4/3
So, the possible numbers are 4/3 or 3.
Find the value of x in the triangle shown below.
a. x=4
b.x=5
c.x=2
d.x=32
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²
9²=x²+7²
x²=81-49
x=√32units
An educational psychologist wants to check claims that regular physical exercise improves academic achievement. To control for academic aptitude, pairs of college students with similar GPAs are randomly assigned to either a treatment group that attends daily exercise classes or a control group. At the end of the experiment, the following scores were reported for the six pairs of participants:
Pair Number Phyasical excercise(X1) No Physical excercise(X2)
1 4.00 3.75
2 2.67 2.74
3 3.65 3.42
4 2.11 1.67
5 3.21 3.00
6 3.60 3.25
7 2.80 2.65
a. Using t, test the null hypothesis at the .01 level of significance.
b. Specify the p-value for this test result.
c. If appropriate (because the test result is statistically significant), use Cohen's d to estimate the effect size.
d. How might this test result be reported in the literature?
Answer:
a. We fail to reject the null hypothesis
b. p > 0.01
c. The test result is not statistically significant
d. There not is enough statistical evidence to suggest that regular exercise improves academic achievement
Step-by-step explanation:
No. Physical Exercise (X₂); 3.75, 2.74, 3.42, 1.67, 3, 3.25, 2.65
Physical Exercise (X₁); 4.00, 2.67, 3.65, 2.11, 3.21, 3.60, 2.80
GPAs Pair number; 1, 2, 3, 4, 5, 6, 7
The null hypothesis, H₀; μ₁ ≤ μ₂
The alternative hypothesis, Hₐ; μ₁ > μ₂
From the data, we have;
[tex]\overline d[/tex] ≈ 0.222857
Where;
d = X₁ - X₂
[tex]\overline d = \dfrac{1}{n} \times \sum_{i = 1}^{n} d_i[/tex]
Similarly, we have;
[tex]s_d^2=\dfrac{\sum \left (d-\overline d \right )^{2} }{n - 1}[/tex]
From which we get;
[tex]s_d[/tex] ≈ 0.160905
The critical-t at n - 1 = 7 - 1 = 6 degrees of freedom for α = 1% = 0.01, is given as follows;
[tex]t_{\alpha /2}[/tex] = [tex]t_{(0.005, \, 6)}[/tex] = 3.707
The test statistic, t = [tex]\overline d[/tex]/([tex]s_d[/tex]/√n)
∴ t = 0.222857/(0.160905/√7) ≈ 3.664
The test statistic , t ≈ 3.664
Therefore, given that the test statistic is smaller than the critical-t,
b. The p-value estimate is p > 0.01
c. The test result is not statistically significant
d. The test result can be reported in a literature as that there is not enough statistical evidence to reject the null hypothesis, therefore, there not is enough statistical evidence to suggest that regular exercise improves academic achievement
100 people in a sports centre are surveyed. 36 regularly use the fitness suite and the swimming pool. 57 use the fitness suite. 49 use the swimming pool. Complete the Venn diagram
Evaluate the expression 4+√−9 and write the result in the form a+bi
Answer:
4 + 3i
Step-by-step explanation:
i = sqrt(-1)
sqrt(-9) = 3 * sqrt(-1) = 3i
The 4 remains the same
4 + 3i
Answer:
Step-by-step explanation:
4+√(-9) = 4 + √9√(-1)
= 4 + 3i
There are 396 students who are enrolled in an introductory biology course. If there are five boys to every four girls, how many boys are in the course?
Answer:
There are 220 boys in the course.
Step-by-step explanation:
If we group the five boys and four girls together, there would be 44 (396/9) groups of nine people. Since there are five boys in every group, you would do 44*5 which is 220.
Answer:
220 boys
Step-by-step explanation:
boys:girls
5:4
396 total
(5x44)+(4x44)=396
220+176=396
220 boys
Pythagorean theorem
a = 5 b = ? c = 11
Answer:
9.8
Step-by-step explanation:
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {5}^{2} + {b}^{2} = {11}^{2} [/tex]
[tex] {b}^{2} = {11}^{2} - {5}^{2} [/tex]
[tex] {b}^{2} = 121 - 25[/tex]
[tex] {b}^{2} = 96[/tex]
[tex] \sqrt{b} = \sqrt{96} [/tex]
[tex]b = 9.78[/tex]
Ahmed invests $4000 in two different accounts. The first account paid 10 %, the second account paid 9% in
interest. At the end of the first year he had earned $370 in interest. How much was in each account?
Answer: 3000$ in 9% account
Step-by-step explanation: sums in accounts are x and (4000-x)
Interests are 0.09x and 0.10(4000-x) = 400-0.1x
Now you get 0.09x -0.1x + 400 = 370
Then -0.01x = -30 and x= 3000
PLEASE HELP WILL MARK BRAINIEST! Asap
Answer:
n=8
Step-by-step explanation:
It’s a special 30-60-90 triangle, so n=8.
Answer:
54 Ok?
Step-by-step explanation: Thats what i got
H varies directly as L. If H = 30 when L=60, determine H when L= 40.
a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)
Answer:
i) The variation equation H = k L
ii) The value of H = 20
iii) C) H = k L
Step-by-step explanation:
Step(i):-
Given that H varies directly as L
H ∝ L
H = k L
Given that H =30 and L = 60
⇒ 30 = k (60)
[tex]k = \frac{30}{60} = \frac{1}{2}[/tex]
Step(ii):-
Given that L = 40
The variation of the equation = H = k L ...(i)
put L = 40 in equation (i)
[tex]H = \frac{1}{2} X 40 = 20[/tex]
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answer:
1:[tex]\sqrt{3}[/tex];2
Step-by-step explanation:
those are the side length ratios
Answer:
1:√3:2
Step-by-step explanation:
Brainliest please
A spinner is shown below. What is the probability of spinning a dotted or solid section?
a. 2/3
b. 1/2
c. 1/4
d. 1/5
Answer:
b
Step-by-step explanation:
There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2
PLZ HELP
1
9 in.
ALGEBRA
5 in.
15 in.
What is the volume of the shoebox shown above in cubic
inches (in.3)?
29
75
675
510
Answer:
675 in³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( lis length, b is breadth and h the height )
Here l = 15, b = 5 and h = 9 , then
V = 15 × 5 × 9 = 675 in³
A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard
deviation of 7c. Three of the restaurants charge 95¢, 1.00, and $1.35. Determine the z-value for each restaurant.
Answer:
For the restaurant that charges 95 cents, the z-score is -4.29.
For the restaurant that charges $1, the z-score is -3.57.
For the restaurant that charges $1.35, the z-score is 1.43
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.
This means that [tex]\mu = 1.25, \sigma = 0.07[/tex]
Restaurant that charges 95 cents:
The z-score is found when X = 0.95. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.95 - 1.25}{0.07}[/tex]
[tex]Z = -4.29[/tex]
For the restaurant that charges 95 cents, the z-score is -4.29.
Restaurant that charges $1:.
X = 1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 1.25}{0.07}[/tex]
[tex]Z = -3.57[/tex]
For the restaurant that charges $1, the z-score is -3.57.
Restaurant that charges $1.35:
X = 1.35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.35 - 1.25}{0.07}[/tex]
[tex]Z = 1.43[/tex]
For the restaurant that charges $1.35, the z-score is 1.43
If right I’ll mark brainiest need ASAP
Answer:
The answer is 8
Answer:
16 inches
Step-by-step explanation:
First, do 56/7. You do this to see how much more feet it is than the scale. The answer is 8.
Because the answer is 8, you would multiply 2 inches by 8 to be proportional to 56 feet.
When Vondel Bradshaw checked his credit card statement, he found that a sales
slip dated 3/2 for $12.49 was posted as $12.99. He also found that a purchase
for $56.29 dated 2/19 was unauthorized. If the new balance on the statement
was $491.23, what is the correct new balance?
Answer: $548.02
Step-by-step explanation:
Correct for inaccurate postings...
add the $0.50 overcharge and the $56.29 unauthorized charge from $491.23
491.23+.50+56.29=548.02
2. State whether the number 21 is a perfect square, a perfect cube, or neither.
a. perfect square
b. neither
c. perfect cube
Answer:
B, neither
Step-by-step explanation:
21 is not a perfect square or perfect cube.
Can someone please solve this
This one takes time to type all the math work.
Let me see.
There are two triangles here.
They both have the same area.
A = (1/2)(base)(height) times 2
A = (1/2)(42)(56) times 2
A = 1,176 times 2
A = 2,352 inches^2.
We also have three rectangles. We need to find the area of each rectangle individually.
Area of bottom rectangle = 42 times 72 or 3,024 inches^2.
Area of back rectangle = 56 times 72 or 4,032 inches^2.
Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.
We now add all the areas together to find the total area of the entire figure.
Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2
Total area = 14,448 inches^2
Done!
Did you understand what was done here?
Assume that all grade-point averages are to be standardized on a scale between 0 and 6. How many grade-point averages must be obtained so that the sample mean is within 0.013 of the population mean? Assume that a 98% confidence level is desired. If using the range rule of thumb, σ can be estimated as range/4=(6-0)/2=1.5. Does the sample size seem practical?
Answer:
The sample size 'n' = 72,030
Step-by-step explanation:
Step(i):-
Given that the Estimate Error = 0.013
Given that the standard deviation of the Population = 1.5
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
Step(ii):-
Given that the Level of significance = 0.98 or 0.02
Z₀.₀₂ = 2.326
The estimated error is determined by
[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]
[tex]0.013 = \frac{2.326 X 1.5 }{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{3.489}{0.013} = 268.38[/tex]
Squaring on both sides, we get
n = 72,030
Final answer:-
The sample size 'n' = 72,030
please help me i really need help please please really really need help please
Answer:
26.5
Step-by-step explanation:
I rounded it up. Basically use pythagorean theorem.
how dizxhdklhjs'klz/'cljkdshkjl dk jkjslkn sdkjnkl jddddkls kl'lk jl
Answer:
what's that (✷‿✷)
shsyhwvqqhsidjsbshsb
An angle measures 88° less than the measure of its complementary angle. What is the measure of each angle? (please see the screen shot i need 2 answers)
Answer:
1° and 89°
Step-by-step explanation:
(x + 88°) + x = 90°
2x + 88 = 90
2x = 2
x = 1°
A type of hot tub holds 600 gallons of water one hose can fill the hot tub in 9 hours while another hose takes only 6 hours how long will it take for the hot tub to be filled if both hoses are used
Answer:
the answer is 40.
Step-by-step explanation:
[tex]t \: = \: \frac{600}{9 + 6} = 40[/tex]
A home seller wants to net $15,000. If he has agreed to pay a 5% commission, the loan payoff is $94,000 and closing costs are $16,000, what must the minimum listing price be? Round to the nearest $100.
9514 1404 393
Answer:
$131,600
Step-by-step explanation:
If the listing price is P, then the net is the difference between that and all of the various costs.
P -(5%×P) -94,000 -16000 = 15,000
0.95P = 125,000
P ≈ 131,600 . . . . . . divide by 0.95
The minimum listing price must be $131,600.
the space provided.
17 cm
10 cm
22 cm
17 cm
19 cm
Calculate the area of the composite figure, which is not drawn to scale.
Area of the composite figure, which is not drawn to scale is,
⇒ 488 cm²
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
To find the area of the composite figure, which is not drawn to scale.
Now, The figure is made by a rectangle and a triangle.
We know that;
Area of rectangle = Lenght x Width
Hence, We get;
Area of rectangle = Lenght x Width
Area of rectangle = 22 x 17
Area of rectangle = 374 cm²
And, Area of triangle = 1/2 × Height × Base
⇒ Area of triangle = 1/2 × (22 - 10) × 19
⇒ Area of triangle = 1/2 × 12 × 19
⇒ Area of triangle = 114 cm²
Thus, Area of the composite figure, which is not drawn to scale is,
⇒ 374 + 114 cm²
⇒ 488 cm²
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
uurihghgihy5thpi 20 points!!! PLEASE HELP
Answer: I only see 10 points
Step-by-step explanation:
What is a correct definition of P-value?
p-value is a measure of the probability that an observed difference could have occurred just by random chance.
Hannah was setting up a room with tables for an event. The room had 12 popular tables and 3 maple tables. What is the probability that the first person to enter the room will be randomly seated at a maple table? Give your answer as a reduced fraction.
Answer:
4 , 12 divided by 3 equals 4
Step-by-step explanation: