Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:
[tex]\mu = p = 0.7[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Mr. Bauer Placed the letters in the word basketball into a bag what is the probability of choosing a B not replacing it and then choosing a vowel
Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
The word basketball has 10 letters.
b is one of them, hence P(A) = 1/10 = 0.1.Then, of the 9 letters, 3 will be vowels, hence P(B|A) = 3/9 = 1/3 = 0.3333.Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Answer: 2/45
The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.
The Diameter of the medal is 6cm determine the radius of the medal
Answer:
3cm
Step-by-step explanation:
the radius is half the diameter
If the diameter = 6, the radius must = 3.
Hope this helps!
- profparis
Adía swam 7 laps in a pool Kaya swam 28 laps how many times the number of laps adía swam did kaya swim circle the letter of the correct answer
A. 4
B. 21
C. 35
D. 196
Help me my sister needs help she is in 4th grade
Name three coplanar points on plane HGD.
The plane HGD contains at least three points
The three points on the plane are H, G and D
What are coplanar points?Coplanar points are at least three points that are in the same plane
How to name the points?The name of the plane is given as:
Plane = HGD
The above means that points H, G and D are on the plane HGD
Hence, the three points on the plane are H, G and D
Read more about coplanar points at:
https://brainly.com/question/1593959
Three students are working to find the solution set of this system of equations:
y = 3x + 10
2y = 6x – 4
Use the drop-down menus to complete the statements about each of their methods.
Mia answer choices 1:
-Intersect
-Do not Intersect
-Are the same line
Mia answer choices 2:
-One
-Zero
-Infinetly many
Roberto answer choices 1:
-Can
-Cannot
Delmar answer choies 1:
-sometimes
-never
-always
Delmar answer choices 2:
-One
-Zero
-Infinitely many
In the equation, Mia correctly graphs the two lines and sees that they do not intersect. This means that the system has zero solution.
How to illustrate the equation?From the complete question, Roberto correctly sees that y cannot be equal to both 10 more than three times a number and 2 less than three times a number at the same time.
Delmar correctly concludes that because 3x + 10 and 3x - 2 will never be equal, the system has zero solution.
Learn more about equations on:
https://brainly.com/question/12444483
Given that (-2,-2) is on the graph of f(x), find
the corresponding point for the function
f(x) +5.
Enter the correct answer.
Answer: The corresponding point for the function 4f(x) is (5 , 24)
Step-by-step explanation:
no
A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between AA and BB is 55 inches.
The surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
What is of total surface area of the rectangular prism?The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of the prism.
Total surface area of the rectangular prism is calculated with the following formula.
[tex]A=2(lb+bh+lh)[/tex]
Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.
A rectangular prism is cut along a diagonal on each face to create two triangular prisms. The distance between A and B is 5 inches.
The length, width, and height of the prism is 5in, 3 in and 4 in long. Put these value in the above formula as,
[tex]A=2(5\times3+3\times4+5\times4)\\A=2(15+12+20)\\A=2(47)\\A=94\rm\; in^2[/tex]
The formula for surface area of one triangle prism is,
[tex]A_t=(a+b+c)l+bh[/tex]
Here, (a,b,c) are the sides of a triangle. The sides of the triangular face are 3 in, 4in and 5 in long. Thus, the surface area of it is,
[tex]A_t=(4+3 +5)5+3\times4\\A_t=(12)5+12\\A_t=72\rm\;in^2[/tex]
For the two triangular prism,
[tex]A_t=2\times72\\A_t=142\rm\; in^2[/tex]
Hence, the surface area of the rectangular prism is 94 in² and the surface area of the two triangular prisms is 142 in².
Learn more about the total surface area of a rectangular prism here;
https://brainly.com/question/15456870
#SPJ1
For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
answer:
[tex]\frac{4}{9}[/tex]
explanation:
the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.
[tex]\frac{16}{36} = \frac{4}{9}[/tex]
--
if this helped, please consider giving brainliest !
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a significance level for both parts. Treatment Placebo n s Question content area bottom Part 1 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. : : B. : : C. : : D. : : Part 2 The test statistic, t, is enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 State the conclusion for the test. A. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. D. the null hypothesis. There sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. Part 5 b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. 10.24 2.048 (Round to three decimal places as needed.)
There's sufficient evidence to reject the null hypothesis between the treatment group and placebo group.
How to illustrate the hypothesis?From the complete information, the value of the test statistic is -1.76 and the p-value is 0.085.
In this case, there's sufficient evidence to reject the null hypothesis. Therefore, there's evidence to warrant the rejection of the claim that the two samples are from population with same mean.
Learn more about hypothesis on:
https://brainly.com/question/15980593
i need help please !!
Answer:
22x + 155
Step-by-step explanation:
9(x-3)+ 13(x+14) use distributive law
9x - 27 + 13x + `182 gather 'like' terms
(9x+13x) + ( -27+ 182) simplify
22x + 155
Classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no
solution
Enter integers or expressions to complete the solution.
6x + 4x – 1 = 2(5x + 4)
6x + 4x -1= 5x +
1 • 5x+]•4
x-1= X+8
10x - 1x - 1 = 10x -x+8
(Simplify your answers.)
Enter your answer in the edit fields and then click Check Answer.
CHEN
1
part
remaining
OP
Question
Back
Next →
Review progress
Answer:
no solution
Step-by-step explanation:
6x + 4x - 1 = 2(5x + 4) ← distribute parenthesis
10x - 1 = 10x + 8 ( add 1 to both sides )
10x = 10x + 9 ( subtract 10x from both sides )
0 = 9 ← not possible
this indicates the equation has no solution
Help I think it’s probably D
Pyramid ABCDE is a square pyramid.
What is the lateral area of pyramid ABCDE?
A ) 162 3 cm^2
B ) 324 3 cm^2
C ) 648 3 cm ^2
D ) 1296 3 cm ^2
Answer:
B
Step-by-step explanation:
i took the test and got a 100% so ys that the answer.
Answer:
B
Step-by-step explanation:
"lateral" means "belonging to the side".
so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.
so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).
each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).
that means both side angles are 60° each.
and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is
180 - 60 - 60 = 60°
hey, all 3 angles are the same !
that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).
and that means all sides are 18 cm long.
the area of a triangle can be calculated for our scenario in 2 major ways :
1. baseline × height / 2
2. Heron's formula (since we know all 3 sides) :
A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2
I don't know which one your teacher wants you to use.
so,
1.
the height we get via Pythagoras
leg² = (baseline/2)² + height²
18² = (18/2)² + height²
324 = 81 + height²
81×4 = 81 + height²
81×3 = height²
height = sqrt(81×3) = 9×sqrt(3)
the area of the triangle is
18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²
2.
s = (18+18+18)/2 = 54/2 = 27
A = sqrt(27(27-18)(27-18)(27-18)) =
= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²
the total lateral area is then
4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²
oh, I see, i think you did not include the square root in the answer options. that is confusing.
but as you can see, option B must be correct.
i need help with this algebra question
Answer:
[tex]m=\frac{6}{7}[/tex]
Step-by-step explanation:
[tex]m=\frac{10-4}{9-2}=\frac{6}{7}[/tex]
Answer: [tex]\frac{6}{7}[/tex]
Explanation:
In the numerator we have [tex]y_2 - y_1 = 10-4 = 6[/tex] to represent the change in y, aka the rise. This is the vertical change. It's how much we go up.
The denominator has [tex]x_2 - x_1 = 9-2 = 7[/tex] to represent the run. It is the horizontal change, or how much we go to the right.
We go up 6 and to the right 7 to have a slope of [tex]m = \frac{\text{rise}}{\tex{run}} = \frac{6}{7}[/tex]
Here's how you can show the steps
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{10-4}{9-2}\\\\m = \frac{6}{7}\\\\[/tex]
Note: To write [tex]\frac{6}{7}[/tex] on the keyboard, you can type 6/7
Application of Geometric Series
Answer:
7.2224
Step-by-step explanation:
The value of the summation is given by the formula ...
Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.
Your sum has first term and ratio ...
a1 = 2(0.6) . . . . . summation term for n=1
r = 0.6
So the sum is ...
[tex]\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112[/tex]
Then the value of the entire given expression is ...
[tex]\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}[/tex]
_____
A calculator can help you find the value.
What whole number should replace C so that the
three values are in ascending order?
27%, С/10, 0.36
Answer:
3
Step-by-step explanation:
3/10 = .3
Express 10/1,000 as a decimal
Answer:
0.01
Step-by-step explanation:
hope this helps -_-
solve for x
plss help
Answer:
2
Step-by-step explanation:
These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.
If a student does not like ballet, what is the probability that student also does not like salsa?
like salsa hate salsa total
like ballet 32 42 74
hate ballet 22 4 26
total 54 46 100
if a student does not like ballet (there is 26 that do not like ballet)..what is the probability that the student does not like salsa..of those 26 that do not like ballet, 4 do not like salsa...
4/26 = 0.1538 = 15.38% rounds to 15.4% <=
Find the surface area of a square pyramid with side length 2 km and slant height 2 km
side length 2 km and slant height 2 km.
to find:the surface area of the pyramid.
solution:area of 4 triangle= 1/2 × 2 × 2 × 4
= 8km
area of rectangle= 2×2
= 4km
area= 4+8
= 12km
so, the surface area of the pyramid is 12km.
The pH of sea water is 7.6 and the PH of milk of magnesium is 10.5. 1.What are the hydrogen ion concentrations of each? 2.How many times great is the hydrogen ion concentration of the sea water than of milk of magnesium?
Answer:
2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater
Step-by-step explanation:
We're trying to find the concentration of H+ in the solution using the pH, so
let's define pH first.
pH=-log(H+)
This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)
The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8
The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11
To compare how much more the concentration of the hydrogen ion is, we just divide
(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.
Contort 39 to base five
Jason bought 3 shirts that each cost the same.He has a coupon for $10 off and he spent $65 altogether.Which equation can be used to find the cost of each shirt
Answer:
3x-10=65
Step-by-step explanation:
So, since he used the coupon, you can do 65+10=75.
The cost before the coupon is 75.
The cost of each shirt is 75/3, but that doesn't solve the question.
You can do (assume each shirt's cost is x)
3x-10=65
I could give more in depth but I can't see the options, sorry!
Answer:
(65+10) / 3= x
x would equal what each shirt costs
Step-by-step explanation:
NO LINKS!! Explain your answer (show the support by showing the changes in x and y on your table). If the relationship is linear, inverse or exponential, write the equation. #9
Answer:
relationship: inverseequation: y = 25/xStep-by-step explanation:
You are correct that the relationship is inverse, and that the product of x and y is a constant, 25.
__
The equation should be written so that y is a function of x:
[tex]\boxed{y=\dfrac{25}{x}}[/tex]
The x in the denominator clearly shows that y is proportional to the inverse of x.
Answer:
Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
Inverse relationship: the value of one variable decreases as the value of the other variable increases.
Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
Question 5
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values can be calculated by dividing 25 by the x-value.
[tex]\sf y=\dfrac{25}{x}[/tex]
40 points for this question!!!
Answer:
Never
Step-by-step explanation:
It should be never since as the value of x increases, so does y.
If the y value increases as x increases, the function is said to be increasing.
If the y value decreases as x increases, the function is said to be decreasing.
triangle ABC is circumscribed about circle touching the circle at P,Q,R . if AP=4 cm, BP=6cm, AC=12cm, then find the radius of the circle.
what is the measurement of angle p a 36B 64 c116 D 244
Answer:
b 64
Step-by-step explanation:
because p is just a mirror of o ,and o =64
Find the value of 2^-3
Answer:
Exact form would be 1/8
and the decimal form is 0.125
Answer:
2^-3=1/8=0.125
Step-by-step explanation:
We have a negative exponent (-3) in order to make an exponent positive write the reciprocal of the number
We get 2^-3 = 1/(2^3)
and 2^3=8
so we get 2^-3= 1/8 =0.125
i will give brainliest please help
A number less than 5
⇒ x < 5
When all the numbers in the spinner are substituted in the inequality, we can see that only three numbers are less than 5.
⇒ 2, 3, and 4
Reviewing the formula to calculate probability:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
Substituting the values in the formula:[tex]\dfrac{\text{Total numbers less than 5}}{\text{Total numbers in the spinner}} = \text{Probabilty of getting less than 5}[/tex]
[tex]\bullet \ \text{Total numbers less than five: 3}[/tex]
[tex]\bullet\ \text{Total numbers in the spinner} = 4[/tex]
[tex]\implies \boxed{\dfrac{3}{\text{4}} = \text{Probabilty of getting less than 5}}[/tex]
Final answer:Option B is correct.
Group b.. pls help me
Answer:
Step-by-step explanation:
m∠ABC + m∠BAC + m∠ACB = 180°
a + 2a + 6a = 180°
9a = 180°
a = 20°
m∠ABC = 20°
m∠BAC = 2 × 20° = 40°
m∠ACB = 6 × 20° = 120°
A farmer sells eggs in containers holding a dozen eggs. If he has 2178 eggs, how many containers will be filled completely? How many eggs will be left over?
Answer:
~181 containers filled completely, 6 eggs left over
Step-by-step explanation:
2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers
181 × 12 = 2,172 eggs
2,178 eggs - 2,172 = 6 eggs left over