Testing the hypothesis, it is found that the appropriate test statistic is z = 0.54.
At the null hypothesis, it is tested if the proportion of women physics majors in your college is the same as the national average of 19%, that is:
[tex]H_0: p = 0.19[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.19[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.19, n = 50, \overline{p} = \frac{11}{50} = 0.22[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.22 - 0.19}{\sqrt{\frac{0.19(0.81)}{50}}}[/tex]
[tex]z = 0.54[/tex]
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answer this question fast
Round 0.13171 to the thousandths place (three decimal places).
The table shows two ways to mix red paint and white paint to make the same shade of pink. How many cups of red paint should be added to 1 cup of white paint to make the same shade of pink?
This is the answer which is not right because this is for points...
A weight-loss clinic advertised that last month its patients, on average,8lb lost . Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last month all of their patients lost at8lb least . Last month more than half of their patients lost at least 8lb. Last month some of their patients lost more than4lb . Last month at least one of their patients lost exactly 8lb. Two months ago some of their patients lost at least 8bl. None of the above statements are true.
Answer:
Given:
A weight-loss clinic advertised that last month its patients, on average, lost 8 lbs
Average refers to mean
a. Last month all of their patients lost at least 8 lbs.
Answer: Mean or average is a measure of central tendency or in other terms refers to the central value of the dataset. If the value of mean/average is 8lb, it signifies that there are some patients who have lost weights more than 8 lbs. So, this statement is False
b. Last month at least one of their patients lost exactly 8 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than or less than 8 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost exactly 8lbs. So, this statement is False.
c. Two months ago some of their patients lost at least 8 lbs.
Answer: It is clearly mentioned that last month its patients, on average, lost 8 lbs. No information is given about the weight loss of patients before the last month. So, there is not sufficient data to check whether this statement is correct or not.
d. Last month at least one of their patients lost less than 3 lbs.
Answer: It is a possibility that all the patients have lost their weights greater than 3 lbs. Since the mean is computed by summing up all the values (weight loss in this case) by the total number of observations, it is possible that there can be no patient who has lost less than 3lbs. So, this statement is False.
e. Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs.
Answer: Mean is a measure of central tendency which is computed by the diving sum of all observations with the number of all observations (the sum of observations lesser than the mean is compensated by the sum of observations greater than the mean) and for the mean equal to 8lbs, there should be an equal number of people who lost less than 8 lbs and the number of people who lost more than 8 lbs. Hence, this statement is True.
Answer e.Last month, the number of their clients who lost less than 8 lbs was equal to the number of their clients who lost more than 8 lbs is True
the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
Based on the information provided, we can make the following conclusions:
1. Last month, all of their patients lost at least 8 lb. (This statement is true since the average refers to the mean, and the average weight loss was 8 lb. Therefore, all patients must have lost at least 8 lb.)
2. Last month, more than half of their patients lost at least 8 lb. (This statement is true since the average weight loss was 8 lb, which means that at least half of the patients must have lost 8 lb or more. As the average is pulled up by higher values, more than half should have achieved at least 8 lb weight loss.)
3. Last month, some of their patients lost more than 4 lb. (This statement is true since the average weight loss was 8 lb. If the average is 8 lb, then there must be patients who lost more than that, and losing more than 4 lb is definitely possible.)
4. Last month, at least one of their patients lost exactly 8 lb. (This statement is true since the average weight loss was 8 lb. For the average to be exactly 8 lb, at least one patient must have lost exactly 8 lb.)
5. Two months ago, some of their patients lost at least 8 lb. (There is no information provided in the given data to make any claims about weight loss two months ago, so we cannot conclude this statement based on the information given.)
So, the statements that must be true based on the information are:
- Last month all of their patients lost at least 8 lb.
- Last month more than half of their patients lost at least 8 lb.
- Last month some of their patients lost more than 4 lb.
- Last month at least one of their patients lost exactly 8 lb.
The statement "Two months ago some of their patients lost at least 8 lb" cannot be determined from the given information, so it is not necessarily true or false based on the data provided.
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hello, i need help c:
Answer: there were 50 guests
Step-by-step explanation:
a lamp post cast a Shadow 15 feet long while a 6 foot man standing nearby cast a shadow 5 ft long. what proportion can be used to determine the hight of the lamp post
Answer:
6/5=x/15
Step-by-step explanation:
6/5=x/15,where x is hight of the lamp post
x=18
51 is 10% of what number
Answer:
10 percent of 51 is 5.1
Answer:
51=10
510=100
Step-by-step explanation:
51=10/100
x10
510
What is the value of g(1)? What is the value of g(-12)? For which of the following x-values is g(x)=-6
The numeric values of the function are given as follows:
g(1) = 4.g(-12) = -10.g(x) = -6 for -8 ≤ x < -1.g(1)When x = 1, the function has a closed value on the graph at y = 4, hence:
g(1) = 4.
g(-12)When x = -1,2 the function is passing through y = -10, hence the numeric value is given as follows:
g(-12) = -10.
g(x) = -6The function is passing through the horizontal line y = -6 when -8 ≤ x < -1, hence:
g(x) = -6 for -8 ≤ x < -1.
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PLS HELP NOW! WILL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST
Answer:
y = 1.6x −5
Step-by-step explanation:
We start with two points, let’s say (0,-5) and (4,1.4).
The equation is:
y=mx+b
m is the slope and b the y-intercept.
We can find the slope by:
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{-5-1.4}{0-4} = 1.6[/tex]
Then solve the equation for b:
y = 1.6x + b ->
−5 = 1.6(0) + b ->
b = -5.
So the final equation is:
y = 1.6x −5.
Hope that helps! :)
Round your answer to the Nearest tenth
Answer:
3.3 or [tex]\frac{56}{17}[/tex]
Step-by-step explanation:
v/7 = 8/17
Cross multiply ... v times 17 & 7 times 8
17v = 56
Divide both sides by 17
v = 56/17
Keep your answer as a fraction OR
Convert to a decimal : 3.3
A friend says that his grade on the test is 5 points lower than your grade. If your
grade is represented by x, how can you represent his grade? Should you use x - 5
-
or 5 - x?
renresent you
Answer:
x-5.
Step-by-step explanation:
If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)
Answer:
x-5
Step-by-step explanation:
The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer
(b) Express the number 17
(i) in base 2
(ii) in base 5
Answer:
Step-by-step explanation:
IF 17 is in base 10
THEN
17₁₀ = 1 x 10¹ + 7 x 10⁰
10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰
32₅ = 3 x 5¹ + 2 x 5⁰
Use the graph below to find the slope of the line that goes through the points
|(1, 2) and (6,6).
Answer:
4/5
Step-by-step explanation:
m=y2-y1/x2-x1
=6-2/6-1
4/5
A company has launched a Business App. for smart mobile phones, the users who installed the application in 2015 were 10000 users, and they increase by 10% each succeeding year.
a) Determine the number of users in the year 2020.
b) If the company gains on average annual revenue of OMR 12 per user, what is the total revenue gained until the end of the year 2021?
Answer: a) 15000 b) OMR 192,000
If M is the midpoint of JK and N is the midpoint of JL, find the value of x.
Answer options:
11
13
9
12
10
Answer:10
Step-by-step explanation:
what is the slope of the line of (8,10) (-7,14)
The answer is : -4/15
Answer:
-4/15
Step-by-step explanation:
slope is simply the rise over the run which is the change in y over the change in x.
( (y_2) - (y_1) ) / ( (x_2) - (x_1) )
if you plug in your variables that gives you
(14-10) / (-7-8)
which equals
4/-15
- (4/15)
4 examples of one step equation
Answer:
Step-by-step explanation:
x + 14 = 20
4 = x²
x/4 = 50
x - 7 = 1
In the expression -3×+4y-2 what are the variables
Answer:
x and y are the variables
PLEASE HELP PLEASEEEE
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex] - {x}^{3} - 3 {x}^{2} + 4x[/tex]Plsss help!, bRAInLIST!!
Find the values of all 6 trigonometric functions for the angle inside right triangle where the opposite side of the angle is 9 cm and hypothenuse of the triangle is 13 cm.
Answer:
See belowStep-by-step explanation:
Find the missing leg x first using Pythagorean:
[tex]x=\sqrt{13^2-9^2} =\sqrt{169-81} =\sqrt{88}[/tex]Now the 6 functions, considering angle α opposite to leg with length of 9:
sine = opposite/hypotenuse
sin α = 9 / 13cosine = adjacent/hypotenuse
cos α = √88 / 13tangent = opposite / adjacent
tan α = 9 / √88cotangent = adjacent / opposite
cot α = √88 / 9secant = hypotenuse / adjacent
sec α = 13 / √88cosecant = hypotenuse / opposite
csc α = 13 / 9B=
[tex]\\ \sf\longmapsto \sqrt{13^2-9^2}=\sqrt{169-81}=\sqrt{88}\approx9.5[/tex]
Now
[tex]\\ \sf\longmapsto sinA=\dfrac{P}{H}=\dfrac{9}{13}[/tex]
[tex]\\ \sf\longmapsto cosA=\dfrac{B}{H}=\dfrac{9.5}{13}[/tex]
[tex]\\ \sf\longmapsto tanA=\dfrac{P}{B}=\dfrac{9}{9.5}[/tex]
[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{9.5}{9}[/tex]
[tex]\\ \sf\longmapsto secA=\dfrac{1}{cosA}=\dfrac{13}{9.5}[/tex]
[tex]\\ \sf\longmapsto cosecA=\dfrac{1}{sinA}=\dfrac{13}{9}[/tex]
CRITICAL THINKING Is it more difficult to walk up the ramp or the hill? Explain.
The ramp walk is more difficult than the hill. Those who know can only be about that.
The Bruce family set out 8 0’clock in the morning. They arrived at the old port of Ambertini at 09:05. How long their journey took?
pls
Answer:
1hr 5 minutes
Step-by-step explanation:
9hrs 5mins-8 hrs=1 hr 5 mins
mark me brainliest plz if you are helped
16 is 4% of what number?
Answer:
400!
Step-by-step explanation:
16 times 25 is 400, therefore 16 is four percent of 400! Also, when finding out 4% of something, divide it by 25. When fiding 25% of something, divide it by 4!
16 is 4 percent of 400 as per the concept of percentages.
16 is 4% of 400.
To determine the number that 16 is 4% of, we can set up a proportion using the concept of percentages. Let's denote the unknown number as "x." The proportion can be written as:
16/x = 4/100
To solve this proportion, we can cross-multiply:
16 (100) = 4x
1600 = 4x
To isolate x, we divide both sides of the equation by 4:
1600/4 = x
x = 400
Therefore, 16 is 4% of 400.
To verify this, we can calculate 4% of 400:
4/100 x 400 = 0.04 x 400 = 16
As we can see, 16 is indeed 4% of 400.
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Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)
Group of answer choices
8 and 1 over 2 ÷ 1 over 4
8 and 1 over 2⋅ 1 over 4
8 and 1 over 2 + 1 over 4
8 and 1 over 2 − 1 over 4
Flag question: Question 4
Answer:
(a) 8 1/2 ÷ 1/4
Step-by-step explanation:
Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).
miles = (1/4)n
If Katie jogged 8 1/2 miles, then we have ...
8 1/2 = (1/4)n
We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:
(8 1/2) ÷ (1/4) = n
_____
Additional comment
If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.
[tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]
If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)
As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.
Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm
Answer:b
:D
Step-by-step explanation:d
504
Please take a look at the picture
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔
[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]
A. [tex]x - ( - x) = -x[/tex]
Let us first solve for L. H. S.
We have,
[tex]x - ( - x)[/tex]
[tex] = x + x[/tex]
[tex] = 2x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option A is incorrect.
B. [tex]0 - ( - x) = - x[/tex]
Solving for L.H.S. , we have
[tex] = 0 - ( - x)[/tex]
[tex] = + x[/tex]
[tex]≠ - x[/tex]
[tex]≠ R. H. S. [/tex]
Hence, option B is ruled out too.
Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].
The set of all numbers less than or equal to -1
Answer:
-10,-100,-8,-7,-2,-4,-5,-20,-6,-3,-7
f(x) = x^3 + 3x^2
What would the graph look like?
Answer: the answer is in the attachment.
Answer:
Hope this helps :)
Step-by-step explanation:
how to find the circumference with a radius
Answer:
The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.
Answer:
the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference
