Answer:
(2,1)
Step-by-step explanation:
f(x) = - x^2 + 4x - 3
Factor out the negative
f(x) = - (x^2 - 4x + 3)
Factor
f(x) = -(x-3) (x-1)
The zeros are at
0 = -(x-3) (x-1)
x-3 =0 x-1 =0
x=3 x=1
We know the vertex is 1/2 way between the zeros
(3+1)/2 = 4/2 =2
The x coordinate of the vertex is 2
Substitute x=2 into the equation
f(2) = -(2^2-4(2) +3)
= -(4-8+3)
= -(-1)
= 1
The vertex is (2,1)
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
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
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
An expression is given.
16
−
14
÷
2
+
(
3
+
2
)
2
What is the value of the expression?
Answer:
19
Step-by-step explanation
Answer:
19
Step-by-step explanation:
16-14÷2+(3+2)2
16-14÷2+5×2
16-7+5×2
16-7+10
16+10-7
26-7
19
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.
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 is a true statement about the two rectangular prisms shown below
Answer:
When adding up the side lengths given, you get 35
⚠️ 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]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
What is 34 x 45 - 14x (5235+-42) / 24x
Answer:
3(2040x-4039)/4x
Step-by-step explanation:
what is the unit rate of 10 1/3 miles per 1/6 hour
A. 60 mph B. 61 C. 62 D. 63
Swaty plz help me
Help
Answer:
# 1: 1/3 of the time.
# 2: 1/15
Step-by-step explanation:
#1: This is because since the dice is being tossed 1 time, that would mean that there is only a 2 in 6 chance to roll a number under 3.
#2: look at the picture attached.
Evaluate the expression when y =7 and x = 9
X + 4y
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
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 )
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]
Solve the system of linear equations by substitution.
x-2y=6
3x-5y=11
Answer:
x = -8, y = -7
Step-by-step explanation:
=> x = 6 + 2y
substitute x = 6 + 2y into the equation 3x - 5y = 11 to solve for y:
=> 3(6 + 2y) - 5y = 11
=> 18 + 6y -5y = 11
=> y = -7
substitute y = -7 into the equation x - 2y = 6 to solve for x:
=> x - 2(-7) = 6
=> x +14 = 6
=> x = -8
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:
Ethan earns $41.25 in five hours. Oliver earns $30.00 in four hours. Fabianna's hourly rate is less than Ethan's, but more than Olver's. What is her hourly rate?
$7.35
$8.25
$7.75
$6.50
Answer:
7.75
Step-by-step explanation:
41.25 divided by 5 is 8.25
30 divided by 4 is 7.5
7.75 > 7.5 but 7.75 < 8.25
I hope this helps!
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
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
How can you construct a unique triangle.
A= the length of three sides
B=the length of two of the sides and the angle between them
C=the size of two angles and one of the sides
D=the length of two sides an angle not between the.
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
Yall please help please
What is the radius of a circle that has a diameter of 34
inches?
Answer:
17 !!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
34 ÷ 2
Answer:
r=17 in
Step-by-step explanation:
Using the formula
d=2r
Solving for r
r=d/ 2=34/ 2=17in
Hope this helped!!!
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
RT and UW are parallel lines
Which angles are corresponding angles?
Answer:
<uvx and <rxv is your amswer
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
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
Find the sum: 26,807 + 58,095 = ______.
Answer:
84902
Step-by-step explanation: