Answer:
The value of the test statistic is z = -4.19.
Step-by-step explanation:
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 expected value for the population mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Average 13.5 years of experience in their specialties, with a standard deviation of 7.6 years.
This means that [tex]\mu = 13.5, \sigma = 7.6[/tex]
A random sample of 150 doctors from HMOs shows a mean of only 10.9 years of experience.
This means that [tex]n = 150, X = 10.9[/tex]
What is the test statistic?
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{10.9 - 13.5}{\frac{7.6}{\sqrt{150}}}[/tex]
[tex]z = -4.19[/tex]
The value of the test statistic is z = -4.19.
How is it similar please explain why don’t just say it looks the same please
The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
30.96 ft²
Step-by-step explanation:
area of square = 12 x 12 = 144 ft²
area of circle = (3.14)(6²) = 113.04 ft²
144 - 113.04 = 30.96 ft²
Wei biked 91 meters. Paul biked 65 meters. How much farther did Wei bike than Paul? Enter the answer in the box. meters
Answer:I have the same quastion too
Step-by-step explanation:
Vicki made 3 quarts of lemonade to serve at her party. she will serve the lemonade in glasses that hold 1 cup of liquid each. how many of these glasses can Vicki fill with lemonade? ( giving extra points etc. )
A : 16
B : 12
C : 14
D : 8
Answer: 12, B
Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12
Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?
Answer:
I don't know.
With individual lines at its various windows, a post office finds that the standard deviation for normally distributed waiting times for customers on Friday afternoon is 7.2 minutes. To test this claim, the post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes. a) With a significance level of 5 percent, conduct an appropriate test on the claim. (State your null hypothesis, test statistic, critical value, decision rule, conclusion) (15 points) b) What is the 95% confidence interval for the population variance
Answer:
H0 : σ²= 7.2²
H1 : σ² < 7.2
We can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.
Step-by-step explanation:
H0 : σ²= 7.2²
H1 : σ² < 7.2²
The test statistic :
X² = [(n - 1)*s² ÷ σ²]
s² = 3.5
n = sample size = 25. ; s²
X² = [(25 -1)*3.5² ÷ 7.2²
X² = (24 * 3.5^2) / 7.2^2
X² = 5.67
Pvalue from Chisquare statistic :
P(X² < 5.67) = 0.000042
Pvalue < α ; we reject the Null.
Hence, we can conclude that the mean waiting time of customers vary less, Than 7.2 minutes.
Expenses that are incurred directly or entirely in connection with the selling of merchandise are classified as
How long is the base of a parallelogram if it has an area of 100 square meters and a height of 5 meters?
Answer:
Base of parallelogram = 20 meter
Step-by-step explanation:
Given:
Area of parallelogram = 100 square meters
Height of parallelogram = 5 meters
Find:
Base of parallelogram
Computation:
Area of parallelogram = [Base of parallelogram][Height of parallelogram]
By putting value in the formula;
100 = [Base of parallelogram][5]
Base of parallelogram = 100 / 5
Base of parallelogram = 20 meter
the tallest building in houston in 1,002 feet tall the tallest building in dallas is 307 yards tall which of the following is true F. the dallas building is 27 yd taller than the houston building G. the houston building is 27 yd taller than the dallas building H. the dallas building is 695 ft taller than the houston building J. the houston building is 695 ft taller than the dallas building A. 200 x 80 cm x 1 km/ 1,000 cm B. 200 x 80 cm x 1 cm/ 100 C. 200 x 80 cm x 100cm/1 m x 1,000 m/ 1 km D. 200 x 80 cm x 1 m/ 100 cm x 1 km/ 1,000 m
Answer:
The tallest building in the city is the Bank of America Plaza, which rises 921 feet (281 m) in Downtown Dallas and was completed in 1985.
Step-by-step explanation:
Answer:
G. the houston building is 27 yd taller than the dallas building
Step-by-step explanation:
1,002 ft
= 334 yards (Houston)
307 yards (Dallas)
F. Incorrect because the Houston building is taller.
G. 334 - 307 = 27 (This is true)
695 ft is not equal to 27 therefore, H and J are not true.
6 times the number of waiters at a restaurant was 6 less than the number of
customers in the restaurant. The number of waiters was 3. How many customers
were there?
Answer:
12
Step-by-step explanation:
6x3-6=12
Answer:
12 customers
Step-by-step explanation:
6*3=18
18-6=12
So, there were 12 customers
:)
David ordered 210 face masks. 50% of the masks are blue. A fifth of the total masks are white and the remainder are black masks. How many black masks
Answer:
63
Step-by-step explanation:
50 % of 210 = 105
one fifth of total = 42
black masks = (105+42=) - 210 = 63 ans.
Which expression is equivalent to 3(x + 4)?
Answer:
3x + 12
Step-by-step explanation:
Use the distributive property.
3(x + 4) = 3 * x + 3 * 4 = 3x + 12
Answer: 3x + 12
Answer:
3x+12
Step-by-step explanation:
The coordinates of the vertices of the triangle shown are A(2, 13), B(10, 5) and C(12, 14). What is the length of segment AB in units?
9514 1404 393
Answer:
8√2 units
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((10 -2)² +(5 -13)²) = √(64 +64)
d = 8√2
The length of AB is 8√2 units.
Pls help me I don’t know I just need 5 and 6 to be answered
Answer:
5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?
6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!
Step-by-step explanation:
Find the equation of a circle that has a diameter with endpoints given by the points
A(-4,1) & B(4,2).
Step-by-step explanation:
The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.
Coordinates of centre can be find out by the midpoint formula.
[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]
Now the measure of radius can be obtained by half the distance between them.
[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]
We know the general equation of circle as ,
[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]
(h,k) is centre r is radius.[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]
Find the area of the figure. Round your answer to the nearest tenth :)
Answer:
6
Step-by-step explanation:
Savings Account: A woman deposits $400 in a savings account that pays 6% annually. If she withdraws all the money in the account after 120 days, how much does she withdraw (rounded to the nearest dollar)? She withdraws $ * after 120 days.
I'm struggling with this one any help would be greatly appreciated!
Answer:
jdbdvfbf did ddbvdrvd d dv
HELP ASAP! I WILL MARK BRIANLIST! THANK YOU (:
2
In 2002, there were 450 households in the city of Klean that recycled. Each year since 2002, the number of
households that recycle has grown by 8%. Write a function to represent the number of households
in Klean that recycle x years since 2002.
Answer:
450 x 1.08 ^ X = N
Step-by-step explanation:
Since in 2002, there were 450 households in the city of Klean that recycled, and each year since 2002, the number of households that recycle has grown by 8%, to write a function to represent the number of households in Klean that recycle X years since 2002 the following mathematical reasoning should be raised:
450 (initial number) x 1.08 (8% is added to the initial number) ^ X (years) = Number of households that recycle
450 x 1.08 ^ X = N
Thus, for example, if said number were calculated in 2007, that is, 5 years after 2002, the equation would apply as follows:
450 x 1.08 ^ 5 = N
450 x 1.4693 = N
661.20 = N
Find the surface area
No link please and thank you
Answer:
1200 in^2
Step-by-step explanation:
SA = 2B + Ph
SA = 2(8 * 15 / 2) + 40(27)
SA = 1200
Find the distance between the two numbers on the number
line.
Answer:
3 1/2
Step-by-step explanation:
|-7| - |-3 1/2| = 3 1/2
Can someone please tell me how to do this
Answer:
no solution
Step-by-step explanation:
both sides = -2 when we substitute n for 2 so
therefore it doesn’t have solution or doesn’t satisfy the inequality
Cuz n should be > not equal
Can somebody help me?
Answer:
the answer 24 squared
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Add 11 on both sides, therefore getting x is less than or equal to 11. Now find the graph that fits the description - therefore D.
Which expression is equivalent to the expression 6(-2n + 7) - 3(5n + 9)?
Jose bought a 10-pound bag of food for his dog.
He fed his dog one-half of a pound of dog food
each day. Which equation is used to determine,
y, the amount of dog food that remains at the
end of each day, x?
The answer choices are on the top. Also please don’t send me links :) <3
Answer:
B
Step-by-step explanation:
so your starting value (10) is not going to have the x by it. instead he is feeding his dog so it will be subtracted from.
x is the number of days he can feed his dog. this will be mulitplied with something.
0.5 is how much he feeds his dog each day. this will be times the number of days or x.
so it makes your answer [tex]y=10-0.5x[/tex]
What is the radius of a circle with the equation x2 + y2 +6x – 2y+3 = 0;
Round your answer to the nearest thousandth.
Answer:
can you help me
Step-by-step explanation:
find the area of the shape below
I WILL MARK BRAINLEST!!
Answer:
25.75 sq units
Step-by-step explanation:
Big triangle = 1/2 * 3.5 * 9 = 15.75
Tiny triangle = .5 * 2 * 2 = 2
Medium triangle = .5 * 2 * 5 = 5
square = 2 * 2
15.75 + 4 + 5 + 2
Write \sqrt{-27}
−27
in simplest radical form.
Answer:
im not sure if sqrt of -27 by it self or over -27 but anyways.
sqrt{-27} = 3i(sqrt)3
sqrt{-37}/(-27) = - i(sqrt)3/9
Jerome bowling average ,j, is at or above the leagues average of 100. Witch inequality BEST represents?
The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who is 30-49 years old is chosen at random, what is the probability that they have completed a bachelor's degree and no more? Round your answer to the nearest thousandth.
Answer:
If a resident who is 30-49 years old is chosen at random, the probability that they have completed a bachelor's degree and no more is 29.13%.
Step-by-step explanation:
Taking into account the educational table provided, if a resident who is 30-49 years old is chosen at random, to determine what is the probability that they have completed a bachelor's degree and no more the following calculation must be performed:
30-39 Bachelor's degree = 1576
40-49 Bachelor's degree = 443
30-39 Total = 4062
40-49 Total = 2869
4062 + 2869 = 100
1576 + 443 = X
6931 = 100
2019 = X
2019 x 100/6931 = X
201900/6931 = X
29,129 = X
Therefore, if a resident who is 30-49 years old is chosen at random, the probability that they have completed a bachelor's degree and no more is 29.13%.
Answer:
0.296
Step-by-step explanation:
Have completed bachelor’s degree: 1008
Age 30-39: 3407
Probability : [tex]\frac{1008}{3407}[/tex]
≈0.296