Answer:
To be able to approximate the sampling distribution with a normal model, it is needed that [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], and both conditions are satisfied in this problem.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The sampling distribution can be approximated to a normal model if:
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.
This means that [tex]p = 0.089[/tex]
The bank has recently approved 220 loans.
This means that [tex]n = 220[/tex]
What must be true to be able to approximate the sampling distribution with a normal model?
[tex]np = 220*0.089 = 19.58 \geq 10[/tex]
[tex]n(1-p) = 220*0.911 = 200.42 \geq 10[/tex]
To be able to approximate the sampling distribution with a normal model, it is needed that [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], and both conditions are satisfied in this problem.
Find the length of an arc of circle of radius 7cm which subtends an angle 84 at the center of the circle
Answer:
Length of the arc = 10. 26
Step-by-step explanation:
14 × 11 / 15
= 154 / 15
= 10.26
Length of the arc = 10. 26
Hope this answer helps you :)
Have a great day
Mark brainliest
Which ordered pairs are solutions to the equation x+6y=4?
Answer:
(10 , -1)
Step-by-step explanation:
(10)+6(-1)=4
10-6=4
A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?
Answer:
60 feet
Step-by-step explanation:
Let x be a binomial random variable with n = 15 and p= .5. Using the exact
binomial calculation and the normal approximation with the continuity
correction, find P(x>6).
Answer: Choice C) 0.6964; 0.6972
============================================
Work Shown:
n = 15
p = 0.5
q = 1-p = 1-0.5 = 0.5
P(k) = (n C k)*(p)^k*(q)^(n-k)
P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)
----------------
If you plug in k = 7, then we get,
P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)
P(7) = (15 C 7)*(0.5)^7*(0.5)^(15-7)
P(7) = 6435*(0.5)^7*(0.5)^8
P(7) = 0.1964
-----------------
Repeat for k = 8 all the way through k = 15. You could do this by hand, but I recommend using a spreadsheet to make things go much quicker.
Once you determine those values, add them up and you should get 0.6964 which is the binomial probability we want.
------------------
As for the normal approximation, you'll need to compute the mu and sigma to get
mu = n*p = 15*0.5 = 7.5sigma = sqrt(n*p*q) = sqrt(15*0.5*0.5) = 1.93649 which is approximate.The normal distribution will have those parameters.
Since we're using a continuity correction, we need to bump the x = 6 up to x = 6.5, since we want to be larger than 6
Let's find the z score
z = (x - mu)/sigma
z = (6.5 - 7.5)/(1.93649)
z = -0.516398
Now use a Z table or a calculator to determine that P(Z > -0.516398) = 0.6972 approximately. If you're using a TI calculator, then you'll use the normalCDF function. If you're using excel, then you would use the NormDist function (make sure to turn the cumulative flag to "true"). Alternatively, you can search out free z calculators to get the job done.
Question 9
Find the volume.
Answer:
volume of the triangular pyramid=1/3×base×height
=1/3×(1/2×6×5)×10
=1/3×15×10
=50 yd³
[tex]V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height[/tex]
SOLUTION[tex]V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} [/tex]
FINAL ANSWER[tex]D. \: \: V = 50 \: {yd}^{3} [/tex]
I hope it helps ┐(・_・┐)
Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?
Answer:
No.
Step-by-step explanation:
Sadie goals = s
that means
2s+ s = 9 (2s is Connor's goals. Twice Sadie's)
3s=9
s=3
Sadie scored 3 goals
what number is exactly halfway between 2.5 and 3.5
Answer:
3 is exactly halfway between 2.5 and 3.5.
Step-by-step explanation:
The first number is 2.5
The second number is 3.5
We need to find the number that is exactly halfway between 2.5 and 3.5. It can be calculated as follows :
[tex]n=\dfrac{2.5+3.5}{2}\\\\n=\dfrac{6}{2}\\\\n=3[/tex]
Hence, 3 is exactly halfway between 2.5 and 3.5.
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
Given:
In circle D, [tex]\angle EDH\cong \angle EDG[/tex].
To find:
The length of JG.
Solution:
We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.
We have,
[tex]\angle EDH\cong \angle EDG[/tex]
It means chords EH and EG are congruent and their measures are equal.
[tex]EH=EG[/tex]
[tex]9=EG[/tex]
Using segment addition property, we get
[tex]EJ+JG=EG[/tex]
[tex]4+JG=9[/tex]
[tex]JG=9-4[/tex]
[tex]JG=5[/tex]
Therefore, the length of JG is 5 units.
Answer:
5
Step-by-step explanation:
HELP PLEASE BEING TIMED! SHOW WORK
The clinic has collected data finding that the total number of people in their service area is 50,000, 27% of the community is over the age of 65 and immunocompromised, and 11% of the community under 65 is immunocompromised. While the clinic wishes to market to all members of the community, immunocompromised people over 65 are their current priority.
1. Express the total number of people to which the health clinic must do outreach.
Answer:
13500 people
Step-by-step explanation:
0.27 x 50000 = 13500
Using proportions, it is found that the clinic must outreach 13,500 people.
---------------------------
The total number of people in the area is of 50,000.Of those 50,000, 27% are over the age of 65 and immunocompromised, which is the current priority for the clinic.The total number of people the clinic must outreach, thus, is 27% of 50,000, given by:[tex]T = \frac{27}{100} \times 50000 = 0.27(50000) = 13500[/tex]
The clinic must outreach 13,500 people.
A similar problem is given at https://brainly.com/question/22295885
please help! (listing BRAINLIST and giving points) :)
Answer:
[tex]x=7.8[/tex]
Step-by-step explanation:
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse.
The angle marked 33 degrees has its opposite side labelled with [tex]x[/tex] and the hypotenuse of the triangle labelled with 12.
Thus, we can set up the following equation to solve for [tex]x[/tex]:
[tex]\tan 33^{\circ}=\frac{x}{12},\\x=12\tan 33^{\circ}=7.79289111837\approx \boxed{7.8}[/tex]
Answer:
Step-by-step explanation:
tan(33°) = x/12
x = 12tan(33°) ≈ 7.79
What is 39% of 921?
Btw good morning to everybody!
Answer:
359.19 And good morning to you
Step-by-step explanation:
Answer:
359.19 is the 39% of 921
good afternoon to you
5. In A ABC, mZ A = 100%, m B = 30°, and m2 C = 50°. Which lists the sides from largest to
smallest?
Answer:
BC>AB>AC
Step-by-step explanation:
The side length that sees the largest angle measure has the longest length
BC>AB>AC
Somebody Please Help!!!
Step-by-step explanation:
11. shape 1 => A = ½×17×10=85m²
shape 2=> A = 17×9 =153 m²
total area = 238 m²
12. shape 1 => A = 7×3= 21 m²
shape 2=> A = 3×2 = 6 m²
total area = 27 m²
Write an equation. Let x be the unknown number.
10 is the sum of three and twice a number
Answer:
10 = 3 + 2x
Step-by-step explanation:
twice the number is 2x
the sum of 2x and 3 is written as 2x + 3
2x + 3 =10
In how many ways can the letters in the word 'Oklahoma' be arranged?
Answer:
720
Hope that this helps!
How much is 142,560 inches in miles
Answer:
11880 ft
Step-by-step explanation:
12 in = 1 ft
142560/12 = 11880
Si compraste 0.5 mts. de alambre grueso con un costo de $ 4.00 pesos por metro y 0.4 mts. de alambre delgado con un costo de $5.00 pesos por metro,
¿Cuánto fue el costo total en la compra de los metros de alambre?
Answer:
El costo total en la compra es $4.00 pesos.
Step-by-step explanation:
El costo total en la compra de los metros de alambre viene dado por la suma de los costos de los metros individuales de los alambres gruesos y delgados:
[tex] C_{t} = C_{g} + C_{d} [/tex]
En donde:
[tex] C_{t} [/tex]: es el costo total
[tex] C_{g} [/tex]: es el costo del alambre grueso
[tex] C_{d} [/tex]: es el costo del alambre delgado
Podemos encontrar el costo de cada alambre multiplicando el valor por la cantidad de metros:
[tex]C_{g} = 0.5 m*\frac{\$ 4.00}{m} = \$2.00[/tex]
[tex]C_{d} = 0.4 m*\frac{\$ 5.00}{m} = \$2.00[/tex]
Entonces, el costo total es:
[tex]C_{t} = 2.00 + 2.00 = \$4.00[/tex]
Por lo tanto, el costo total en la compra es $4.00 pesos.
Espero que te sea de utilidad!
What percent of 50 is 44
Answer:
here u go
Step-by-step explanation:
88%
Answer:
88% of 50 is 44
Step-by-step explanation:
50x=44
x=44/50
x=0.88
Therefore, 88% of 50 is 44
I need help pls and thank you
Answer:
unbounded region
A feasible region that cannot be enclosed in a closed figure is known as an unbounded region. A feasible region is a set of all possible points of an optimization problem that satisfy the problem's constraints; feasible sets may be bounded or unbounded.
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
111
Step-by-step explanation:
y-18=14
y=14+18
y=32
substitute the vale of y
3(y+5)
3(32+5)
3*37
111
UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?
Answer:
604,800
Step-by-step explanation:
10*9*8*7*6*5*4
Olivia randomly samples 50 students attending a basketball game and asks what grade they are in. Of the studets surveyed, 19 were in the seventh grade. I
there are 200 students attending the basketball game, based on the sample, how many of them are in seventh grade?
Answer:
76
Step-by-step explanation:
19 out of 50 are in 7th grade.
200/50 = 4
Multiply both numbers in the ratio by 4.
19 out of 50 = 76 out of 200
Answer: 76
What is the value of x?
Answer:12
Step-by-step explanation:
The temperature in Alaska was -12 degrees Fahrenheit.It then dropped 5 degrees overnight.what is the new temperature.
Answer:
-17 degrees Fahrenheit.
Step-by-step explanation:
-12 minus 5 is -17
Give the answer in its simplest form
Answer:
1/52
Step-by-step explanation:
as there is only one of the three of clubs,
total possible outcomes= 52
favourable outcome= 1
P(getting a three of clubs) = total outcome/ favourable outcome
= 1/52
hope this helps
Solve for x. Round to the nearest tenth, if necessary.
Answer:
X = 3.2
Step-by-step explanation:
sin(42) = x/4.6
0.7 = x/4.6
3.2 = x
Find the midpoint of the equation y = 4x - 6 between the x-intercepts and the y-intercepts.
Step-by-step explanation:
y int
x=0
y=4(0)-6
y=-6
0;-6
x int
y=0
0=4x-6
6=4x
6/4=x
3/2=x
3/2;0
Answer:
Below in bold.
Step-by-step explanation:
y = 4x - 6
Find y-intercept:
y = 4(0) - 6 = -6
Y intercept is at (0, -6)
x-intercept:
4x - 6 = 0
4x = 6
x = 6/4 =1.5.
x intercept is at (1.5, 0)
Midpoint is at ((0+1.5)/2, (-6 + 0)/2)
= (0.75, -3)
Two and three fifths plus one and three fifths
Answer:
2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5
5 5
Step-by-step explanation: The Slashes mean The number bellow
Please make this answer Brainlist...
A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments. A random survey of 850 customers found only 34 with complaints. Does this provide evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints
Answer:
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.
Step-by-step explanation:
A company hopes to improve customer satisfaction, setting a goal of less than 5% negative comments.
At the null hypothesis, we test if the proportion of negative comments is of at least 5%, that is:
[tex]H_0: p \geq 0.05[/tex]
At the alternative hypothesis, we test if this proportion is less than 0.05, that is:
[tex]H_1: p < 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]
A random survey of 850 customers found only 34 with complaints.
This means that [tex]n = 850, X = \frac{34}{850} = 0.04[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.04 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{850}}}[/tex]
[tex]z = -1.34[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.04, which is the p-value of z = -1.34.
Looking at the z-table, z = -1.34 has a p-value of 0.0901.
The p-value of the test is 0.0901 < 0.1, which means that this provides evidence at the 10% significance level that the company has reached its goal of decreasing the percentage of complaints.
Which value of n would make 3√n=8
Answer:
n = 64/9
Step-by-step explanation:
3√n=8
Divide each side by 3
3/3√n=8/3
sqrt(n) = 8/3
Square each side
(sqrt(n))^2 = (8/3)^2
n = 64/9
Answer:
n = 64 / 9
Step-by-step explanation:
3√n = 8
Divide both side of equation by 3
3√n / 3 = 8/3
√ n = 8 / 3
Square both side of equation
√n² = √(8/3)
n = 64/9