Answer:
The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
Step-by-step explanation:
A publisher reports that 35% of their readers own a laptop.
This means that the null hypothesis is:
[tex]H_0: p = 0.35[/tex]
A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.
This means that the alternate hypothesis is:
[tex]H_{a}: p \neq 0.35[/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.
0.35 is tested at the null hypothesis:
This means that [tex]\mu = 0.35, \sigma = \sqrt{0.35*0.65}[/tex]
A random sample of 190 found that 32% of the readers owned a laptop.
This means that [tex]X = 0.32, n = 190[/tex]
Z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}[/tex]
[tex]z = -0.87[/tex]
pvalue of the test and decision:
As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87
Looking at the z-table, z = -0.87 has a pvalue of 0.1922
2*0.1922 = 0.3844
0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
3 1/4+3/8equals to what?
Answer:
6 5/8
Step-by-step explanation:
Answer:
it equals 29/8 you can also write it as 3 5/8
Step-by-step explanation:
first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps
Someone please answer this correctly!!
Answer:
1.98 × 10^10
Step-by-step explanation:
First solve for how many text messages were sent out per one month:
22,000,000 × 900
19,800,000,000
Convert into scientific notation:
1.98 × 10^10
In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.
Please help me with this ASAP Don’t ANSWER With links please ****
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get
[tex]10^2=(6)^2+h^2[/tex]
[tex]100=36+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]64=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
The lateral area of a cone is:
[tex]A_L=\pi rl[/tex]
[tex]A_L=\pi (6)(8)[/tex]
[tex]A_L=48\pi[/tex]
The surface area of a cone is:
[tex]A_S=\pi rl+\pi r^2[/tex]
[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]
[tex]A_S=48\pi +36\pi[/tex]
[tex]A_S=84\pi[/tex]
Volume of cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]
[tex]V=\dfrac{288}{3}\pi [/tex]
[tex]V=96\pi [/tex]
Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.
help plssssssssssssssssss
During a certain epidemic, the number of people that are
infected at any time increases at a rate proportional to the
number of people that are infected at that time. If 1,000 people
are infected when the epidemic is first discovered, and 1,200
are infected 7 days later, how many people are infected 12 days
after the epidemic is first discovered?
9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
PLZ HELP ASAP I WILL MARK BRANLIEST!!!
Answer:
Top left
Step-by-step explanation:
It’s the only one with a data point very far from the rest
Answer:
its diff for all of is but it deff right
Step-by-step explanation:
k12 right
so, this is in math and, I NEED HELP!!!!!. could you first multiply the width by the height? Explain.
Answer:
Explain what?? May I ask
A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random? Question 5 options: 5/20 1/7 5/21 1/5
Answer:
1/5
Step-by-step explanation:
5 out of 25 reduces to 1 out of 5
What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3
answer d
Step-by-step explanation:
because I learned this
Answer: 144 pi units^3
Step-by-step explanation:
Find P (Horse Female) Hint: P(A and B)
P(B)
Animals on Farm
Male. Female
Cow 1. 5 6
Sheep 4 3 7 [?]
Horse 2 214
Chicken 2
3
8
14. 26
-13 15
Piel 5
=========================================================
Explanation:
The vertical bar means "given", so saying "P(Horse | Female)" means "The probability of selecting a horse given the animal is female". Since we know the animal is female, we focus only on the second column.
There are 2 female horses out of 26 female animals total. Therefore, the probability we want is 2/26 = 1/13
Side note: The hint your teacher provides is also another route you can take, but I find it's a bit more complicated in my opinion.
P (Horse | Female) = 1/13
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
What is conditional probability?"It is the probability of an event occurring given that another event has already occurred."
Formula for conditional probability:The probability of event A occurring given that event B has already occurred is,
P(A|B) = P(A ∩ B)/P(B)
where, P(A ∩ B) the joint probability of events A and B
For given example,
We need to find P (Horse | Female)
From given table we can observe that there are 40 animals on farm.
⇒ n(S) = 40
First we find the probability of female animals on farm.
⇒ number of female animals = 26
Using the formula of probability,
⇒ P(Female) = n(Female)/n(S)
⇒ P(Female) = 26/40
First we find the probability of female horse [P(Horse and Female)] animals on farm.
⇒ n(Horse and Female) = 2
Using the formula of probability,
⇒ P(Horse and Female) = n(Horse and Female) / n(S)
⇒ P(Horse and Female) = 2/40
Using the formula of conditional probability,
⇒ P (Horse | Female) = P (Horse and Female) / P(Female)
⇒ P (Horse | Female) = (2/40) / (26/40)
⇒ P (Horse | Female) = 2/26
⇒ P (Horse | Female) = 1/13
Therefore, P (Horse | Female) = 1/13
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A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated.
(a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.)
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
i. The sampling distribution of p is approximately normal because np is less than 10.
ii. The sampling distribution of p is approximately normal because np is at least 10.
iii. The sampling distribution of p is not approximately normal because np is less than 10
iv. The sampling distribution of p is not approximately normal because np is at least 10
v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Answer:
a) The mean is 0.05 and the standard deviation is 0.0218.
b) v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].
If [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the sampling distribution of the sample proportion p will be approximately normal.
Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.
This means that [tex]p = 0.05[/tex]
A random sample of n = 100 people
So [tex]n = 100[/tex]
(a) What are the mean and standard deviation of the sampling distribution of p?
Mean [tex]\mu = p = 0.05[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218[/tex]
The mean is 0.05 and the standard deviation is 0.0218.
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
[tex]np = 100*0.95 = 95 > 10[/tex]
[tex]n(1-p) = 100*0.05 = 5 < 10[/tex]
As n(1-p) < 10, it is not approximately normal, option v.
5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:
An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.
The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379
I've added the missing data as an attachment.
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Where:
[tex]a \to[/tex] the first term
[tex]b \to[/tex] rate
[tex]x \to[/tex] years after 1999
[tex]y \to[/tex] depreciated value
When [tex]x = 0\ \&\ y=12500[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]12500 = ab^0[/tex]
[tex]12500 = a*1[/tex]
[tex]12500 = a[/tex]
[tex]a =12500[/tex]
When [tex]x = 1\, \&\ y = 10750[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]10750 = ab^1[/tex]
[tex]10750 = ab[/tex]
Substitute [tex]a =12500[/tex]
[tex]10750 = 12500 \times b[/tex]
Solve for b
[tex]b =\frac{10750 }{12500}[/tex]
[tex]b =0.86[/tex]
So, the equation is:
[tex]y = ab^x[/tex]
[tex]y = 12500(0.86)^x[/tex]
To calculate the depreciated value in 2010, we first solve for x in 2010
[tex]x = 2010 - 1999[/tex]
[tex]x = 11[/tex]
So, the depreciated value (y) is:
[tex]y = 12500(0.86)^x[/tex]
[tex]y = 12500 \times 0.86^{11}[/tex]
[tex]y = 2379[/tex]
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3.
Andre and Molly have a tree fort that consists of two rectangular rooms,
The upper level has a length of 5 feet, a width of 3 feet, and a helght
of 6 feet. The lower level has a length of 6 feet, a width of 5 feet, and a
height of 8 feet.
What is the combined volume of the two levels of the tree fort?
33 cubic feet
150 cubic feet
240 cubic feet
330 cubic feet
Help!
Answer:
330 cubic feet
Step-by-step explanation:
The formula for Volume is L (length) x W (width) x H (Hight)
So all we have to do is multiply the numbers for each floor and then add them together.
5 x 3 = 15 15 x 6 = 90
6 x 5 = 30 30 x 8 = 240
240 + 90 = 330
Now add you cubic feet since volume is cubed.
330 cubed feet
Thus, your answer is 330 cubed feet.
Hope this helps! :)
plz anser will give branlist
Answer:
A
Step-by-step explanation:
First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome
A ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir
quería saber el problema este q no me se la respuesta
Can someone help me with this please ?
Answer:
radius is 2.5 cm
hope it helps.
Answer:
radius = 2 1/2 cm or 2.5 cm
Step-by-step explanation:
diameter = 5 cm
radius = 5/2 = 2 1/2 cm
3. Maxine has assets worth $145,000 and liabilities totaling $75,000. What is Maxine's net worth?
A $155,000
B-$15,000
C $70,000
D-$85,000
Which of the following describes a triangle that has two angles with measures 30 degrees and 50 degrees?
A) acute
B) equilateral
C) obtuse
E) right
I think that C is the correct answer
Answer:
C. obtuse is absolutely right
I'm. not the best at finding angles sadly
Answer:
obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse
Use the distance that these 9 students skimmer cars traveled in inches to calculate the MIDDLE 50%
468, 376, 540, 198, 230, 531, 281, 426, 346
a. 458 - 353.3
b. 255.5 - 499.5
c. 281 - 468
d. 230 - 531
9514 1404 393
Answer:
b. 255.5 to 499.5
Step-by-step explanation:
The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.
first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B
The third quartile is the average of numbers 7 and 8:
third quartile = (468 +531)/2 = 499.5 . . . . . also matches answer choice B
The middle 50% is 255.5 to 499.5.
_____
When I put the numbers in order, I get ...
198 230 ^ 281 246 376 426 468 ^ 531 540
^ indicates that the quartile here is the average of the adjacent numbers
bold indicates the median (2nd quartile)
A group of people move a large box that weighs 90 Newtons, 10 meters in 20 seconds, how much power was used?
Answer:
P = 45 W
Step-by-step explanation:
Given that,
The weight of a box, W = 90 N
Distance moved, d = 10 m
Time, t = 20 s
We need to find the amount of power used. The rate of doing work is called power It can be calculated as the formula,
[tex]P=\dfrac{W}{t}\\\\P=\dfrac{Fd}{t}\\\\P=\dfrac{90\times 10}{20}\\\\P=45\ W[/tex]
So, 45 W of power was used.
Which images below are scalene triangles?
Triangle A has three sides each measuring 7 units. Triangle B has two sides that are equal in length, and the base is longer than the two sides. Triangle C has no sides of equal length. Triangle D has sides of length seven, three, and six.
Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D
Answer:
Triangle C and D
Is your correct answer
Triangle A have 3 sides equal so it is equilateral triangle
Triangle B have 2 sides equal so it is isosceles triangle
Triangle C have no equal sides so it is scalene triangle
Triangle D have no equal sides so it is scalene triangle
Triangles C and D are scalene triangles.
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;
Triangle A has three sides each measuring 7 units.
Triangle B has two sides that are equal in length, and the base is longer than the two sides.
Triangle C has no sides of equal length.
Triangle D has sides of length seven, three, and six.
Now, We know that;
A scalene triangle have different sides.
Hence, Triangles C and D are scalene triangles.
Thus, We get;
Triangles C and D are scalene triangles.
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what is 0.065 rounded to the nearest tenths?
please help :)
Answer:
Step-by-step explanation:
0.1 ;-;
Can someone help me pls
Answer:
57°
Step-by-step explanation:
180-56=114
114÷2=57
Answer:
57°
Step-by-step explanation:
AO and BO are both the radius of the circle, so they are equal. Since it makes an iscosoles triangle, angles A and B are equal.
180-66=114
114/2=57
What is 5% as a fraction?
Answer:
The answer would be 5/100 or 1/20 in it's simplest form
Step-by-step explanation:
So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.
Ignore the messy writing, i was in a hurry.
Evaluate f(x)=−5ex+4+3 for x=−6.
Answer:
f(-6) = 30e+7 or 88.55
Step-by-step explanation:
First you want to plug in the -6 into the function getting you:
-5e(-6)+4+3
You can multiply the -5*-6=30
Then add 4+3 giving you 7
So the final answer is 30e+7
someone plzz help mee!!!!
Answer:
-4 is the opposite of -1/4
find the area of the composite figure
Answer:
6808 yds
Step-by-step explanation:
First find the area in black in total
190 x 48 = 9120
then find the area of the two squares
34 x 34 = 1156
1156 x 2 = the two square combined = 2312
subtract the total area in black with the area of the combined squares
9120 - 2312 = 6808
Hoped this helped.
michelle has four credit cards with the balances and interest rates listed below. She wants to pay off her credit cards one at a time, based on the interest rate. In which order should Michelle pay off her credit cards
Answer:
3,2,1,4
Step-by-step explanation: