Reciprocal of 14 is 1/14.
Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a standard deviation of minutes. Test the hypothesis that against the alternative that if a random sample of the test times of high school seniors has a standard deviation . Use a level of significance.
Complete question :
Past experience indicates that the time required for high school seniors to complete a standardized test is a normal random variable with a mean of 35 minutes. If a random sample of 20 high school seniors took an average of 33.1 minutes to complete this test with a standard deviation of 4.3 minutes, test the hypothesis, at the 0.05 level of significance.
Answer:
We conclude they there is significant evidence to support the claim That time required for high school seniors to complete test is less than 35 minutes.
Step-by-step explanation:
H0 : μ = 35
H1 : μ < 35
Sample size, n = 20
Standard deviation, s = 4.3
xbar = 33.1
Test statistic :
T = (xbar - μ) ÷ (s /√n)
T = (33.1 - 35) ÷ (4.3 /√20)
T = - 1.9 ÷ 0.9615092
T = - 1.976
The Pvalue can be obtained from the test statistic using a Pvalue calculator :
Pvalue at 0.05 ; df = 19 is 0.0314
Since, Pvalue < α ; We reject the Null and conclude that time required for high school candidate to complete test is less than 35 minutes
Which three-dimensional shape has 5 vertices?
A. Triangular prism
B. Rectangular pyramid
C. Triangular pyramid
Answer:
C. Triangular pyramid
Four base vertices and the upper peak vertice
I WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
CONFERENCES You are sitting down at a round table with 7 chairs for a business meeting. You notice that one of the chairs is shorter than the rest. If 7 people sit down at random, what is the probability that you will end up with the short chair?
A.1/42
B.1/42
C.1/6
D.1/7
3. Identifique a seguir qual é a sequência
composta pelos sucessores dos 5 pri-
meiros números naturais pares.
a) 0, 1, 2, 3, 4
b) 1, 2, 3, 4, 5
c) 0, 2, 4, 6, 8
d) 3, 5, 7, 9, 13
e) 1, 3, 5, 7, 9
Answer:
a resposta serta e a letra c)0,2,4,6,8
Use 4 terms of the series to approximate :
[tex]from \: trapezium \: rule \\ n = 4 \\ h = \frac{(1 - ( - 5))}{4} = \frac{3}{2} \\ from \: the \: pic \: \\ approximate \: value \: is \: 5.409[/tex]
Maria had $3,500 and invested it into an account with an annual
interest rate of 1.2%. If her investment were compounded monthly,
write an eqaution to find the value of her investment after t years.
Answer:
FV= $3,716.32
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $3,500
Interest rate (i)= 1.2% compounded monthly
First, we need to determine the monthly nominal interest rate:
Monthly interest rate= 0.012/12= 0.001
Now, to calculate the future value after 't' months, we need to use the following formula:
FV= PV*(1 + i)^t
For example, for 60 months:
FV= 3,500*(1.001^60)
FV= $3,716.32
What is 34 x 45 - 14x (5235+-42) / 24x
Answer:
3(2040x-4039)/4x
Step-by-step explanation:
⚠️ Mhanifa, can you help me, please? This is due asap and I will mark brainliest :)
The image is attached. Thanks! (There are two questions.)
Answer:
The domain is the set of x-values:
x = [-4, 4]The range is the set of y-values:
y = [-1, 2]Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
∫ c(y+e√x)dx+(2x+cosy2)dy,
C is the boundary of the region enclosed by the parabolas
y=x^2 and x=y^2
Answer:
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Step-by-step explanation: See Annex
Green Theorem establishes:
∫C ( Mdx + Ndy ) = ∫∫R ( δN/dx - δM/dy ) dA
Then
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy
Here
M = 2x + cosy² δM/dy = 1
N = y + e√x δN/dx = 2
δN/dx - δM/dy = 2 - 1 = 1
∫∫(R) dxdy ∫∫ dxdy
Now integration limits ( see Annex)
dy is from x = y² then y = √x to y = x² and for dx
dx is from 0 to 1 then
∫ dy = y | √x ; x² ∫dy = x² - √x
And
∫₀¹ ( x² - √x ) dx = x³/3 - 2/3 √x |₀¹ = 1/3 - 0
∫ C ( y + e√x) dx + ( 2x + cosy² ) dy = 1/3
Calculate the Volume
Pls help
Answer:
420
Step-by-step explanation:
Multiply length, times width, times height to get your answer.
7 times 12 times 5=420
I’ll give points + brainalist (:
Answer:
The right answer to the question is b
Answer:
B [tex]x \leq 1[/tex]
Step-by-step explanation:
Isolate the x.
[tex]-5x + 10 \geq 5\\-5x \geq -5\\x \leq 1[/tex]
The [tex]\geq[/tex] sign flipped to [tex]\leq[/tex] , because you're dividing with a negative number.
what is the unit rate of 10 1/3 miles per 1/6 hour
A. 60 mph B. 61 C. 62 D. 63
Please assist me with this two column proof. Part 1A
Answer:
Answer is in the step by step explanation
Step-by-step explanation:
Since we are given parallel lines, we know <BCA is congruent to <DAC because of alternate interior angles
Then AC is congruent to AC, that's reflexive prop
Now we have SAS, so Tri. ABC cong to tri. CDA,
Then you're done
Answer:
Step-by-step explanation:
BC = AD Given
<BCA = <CAD Alternate interior angles of parallel lines cut by a transversal.
AC = AC That's the reflexive property. A line is equal to itself
Triangle BCA = Triangle CAD SAS
Notice that the angle is included inside the two lines that define it (the angle). That's a very important consideration when using SAS. SAA doesn't always work. You can draw exceptions. SAS has no exceptions. It always works.
What is the value of x?
Answer:
x = 16
Step-by-step explanation:
(8x - 16) + (3x +20) = 180
11x + 4 = 180
11x = 176
x = 16
Which statement about the linear factors and zeros of a quadratic function is always
true?
A. The constants of the linear factors are the opposite of the function's zeros.
B. A function's zeros can be determined by setting each linear factor equal to 0 and
solving.
C. If a function's zero is an integer, then the coefficient of the variable in the linear factor
must be one.
D. Multiplying the constants of the linear factors gives one of the function's zeros, and
adding the constants gives the other zero.
Sandy can clean her room in 1/4 the time it takes her older brother to clean his. Sandy does the job in a half hour. How long does it take Sandy's brother to do it?
Answer:
2 hours
Step-by-step explanation:
Sandy is 4 times faster than her brother.1/2 hour x 4 =2hours
Flip a fair coin 6 times. Let X be the number of heads in the rst 4 ips, and Y be the number of heads on the last 4 ips. Find Cov(X; Y ).
Answer:
Cov ( X, Y ) = 1/2
Step-by-step explanation:
X = Number of heads in the first 4 flips
Y = Number of heads in the last 4 flips
Given that X and Y are binomial variables hence
P( probability ) = 1/2
Find Cov( X; Y )
xi = result of the ith flip ∴ X = x1 + x2 + x3 + x4
yj = result of the jth flip ∴ Y = y3 + y4 + y5 + y6
covariance of xi and yi = 1/2 * 1/2 = 1/4 when i = j and it is = 0 when i ≠ j
hence Cov( X; Y ) can be expressed as
Cov( X; Y ) = ∑[tex]_{i}[/tex]^4 ∑[tex]_{j}[/tex]^6 ∴ Cov( Xi , Yj ) = 2/4 = 1/2 ( given that i = j )
which is a true statement about the two rectangular prisms shown below
Answer:
When adding up the side lengths given, you get 35
Find the probability of the event that get an even number or multiple of 4, that is 4n, with given sample space S.
S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)
P(even# U 4n) = ?
Answer:
4, 8, 12 2, 6, 10, 14
7/15 chance of getting even of multiple of 4
The admission fee at an amusement park is $3.50 for children and $5.40 for adults. On a certain day, 351 people entered the park, and the admission fees collected totaled $1523. How many children and how many adults were admitted?
Answer:
Adults=155, children = 196
Step-by-step explanation:
Yall please help please
Orla says that x = 5 is a solution of x² + 3x - 10 = 0 and Fiona says that x = -5 is
a solution of x² + 3x -10=0.
One of the answers is correct. Say which answer is correct and justify your answer
Answer:
Fiona is correct
Step-by-step explanation:
Substitute x = 5 and x = - 5 into the left side of the equation and if equal to the right side then it is a solution of the equation.
x = 5 : 5² + 3(5) - 10 = 25 + 15 - 10 = 30 ≠ 0 ← not a solution
x = - 5 : ( - 5)² + 3(- 5) - 10 = 25 - 15 - 10 = 0 ← correct
Then Fiona is correct with x = - 5 being the solution
The standard recommendation for automobile oil changes is once every 3000 miles. A local mechanic is interested in determining whether people who drive more expensive cars are more likely to follow the recommendation. Independent random samples of 49 customers who drive luxury cars and 38 customers who drive compact lower-price cars were selected. The average distance driven between oil changes was 3178 miles for the luxury car owners and 3200 miles for the compact lower-price cars. The sample standard deviations were 41.80 and 50.60 miles for the luxury and compact groups, respectively. Assume that the population distributions of the distances between oil changes have the same standard deviation for the two populations. Using the 1% significance level, can you conclude that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars
Answer:
We accept H₀ we have not enough evidence to support that the mean distance between oil changes is less for all luxury cars than that for all compact lower-price cars
Step-by-step explanation:
Luxury cars sample:
sample size n₁ = 49
sample mean x₁ = 3178
sample standard deviation s₁ = 41,80
Compact lower-price cars sample
sample size n₂ = 38
sample mean x₂ = 3200
sample standard deviation s₂ = 50,60
Test Hypothesis:
Null Hypothesis H₀ x₁ - x₂ = 0 or x₁ = x₂
Alternative Hypothesis Hₐ x₁ - x₂ < 0 or x₁ < x₂
CI = 99 % then significance level is α = 1 % α = 0,01
Alternative Hypothesis indicates that we have to develop a one tail-test to the left
z(c) for α 0,01 is z(c) = -2,32
To calculate z(s)
z(s) = [ ( x₁ - x₂ 9 ] / √ (s₁²)/n₁ + (s₂)²/n₂
z(s) = ( 3178 - 3200 ) / √ 35,66 + 67,38
z(s) = ( - 22 / 10,15 )
z(s) = - 2,17
Comparing z(s) and z(c)
z(s) > z(c) - 2,17 > - 2,32
Then z(s) is in the acceptance region we accep H₀
6
There are 6 classes going on a field trip. There are 24 students in each class.
There is another class going with 27 students.
6 equal classes
27
Which equation helps to find s, the number of students in all of the classes
going on the field trip?
А
5 = (24 x 6) x 27
B
S = 27 x 7
с
S = (24 x 7) + 27
D
S = (24 x 6) + 27
It takes 16 one-inch cubes to completely cover the bottom of a cereal box without leaving any gaps or overlapping any cubes. The picture below represents one layer of 16 cubes covering the bottom of the cereal box. 8 in. 2 in. 12 in. It takes a total of 12 layers of 16 cubes to fill the entire cereal box. What is the volume, in cubic inches, of the cereal box? 0 22 cubic inches 32 cubic inches 0 141 cubic inches 192 cubic inches
Answer:
192
Step-by-step explanation:
We know that it will take 12 layers of 16 one-inch ice cubes to fill the cereal box.
The ice cubes are 1inch by 1inch.
So we take the height * length * width
12 2 8
=192
The first three steps for completing the square to solve a quadratic equation are shown. What number goes in the boxes to complete the third step?
9514 1404 393
Answer:
C. 16
Step-by-step explanation:
The x-coefficient is -8. Half that is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.
_____
It can help to keep in mind what the square of a binomial looks like:
(x -a)² = x² -2ax +a²
The coefficient of x is -2a. The constant is the square of half that (-2a/2)² = a².
Answer:
16
Step-by-step explanation:
The x-coefficient is -8. Half of -8 is -4. The number that goes in the boxes is the square of -4: (-4)² = 16.
Now, find the difference. What is 3 1-14 6 8 1 3. 2 - 1 6 = 3 12 12
Answer:
3 1/2 - 1 4/6= 1 5/6
Step-by-step explanation:
RT and UW are parallel lines
Which angles are corresponding angles?
Answer:
<uvx and <rxv is your amswer
20. what is measure of
Answer:
<D = 147 degrees
AB = 14
BC = 12
Step-by-step explanation:
From the given parallelogram;
<A and <D are supplementary, hence;
<A + <D = 180
33 + <D = 180
<D = 180 - 33
<D = 147 degrees
Since AB = CD
Hence AB = 14
Also since BC = AD, BC = 12
This shows that the opposite side of the parallelogram are parallel
Helppppp pleaseeeeeeee
Answer:
74 cm squared
Step-by-step explanation:
because each triangle will be 7, and each rectangle will be 20. (7*2)+(3*20)=74