The experimental probability that Connor will miss his next free-throw attempt is 2/3.
How to calculate the probability?From the information, Connor missed 12 out of his last 18 free throws.
Therefore, the probability will be:
= Number of missed throws / Total throws
= 12/18
= 2/3
Therefore, the experimental probability that Connor will miss his next free-throw attempt is 2/3.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
From past experience, it is known that a telemarketer makes a sale with probability 0.2. Assuming that results from one call to the next are independent. Determine the probability that telemarketer makes:___.
a. the first sale on the third call
b. the first sale after the third call
c. the second sale on the fifth call
d. the second sale before the fifth call
It costs $40 to register for Karate, then $15 per lesson. If Rachel is taking lessons and wants to spend no more than $250, how many lessons can she take?
Answer:
14 lessons.
Step-by-step explanation:
Distributive property 3x(x - 1)
how do u do this?step by step
there are 14 boy and 16 girls in Mr. Allen's class. What is the ratio of girls to the total numbers of students in the class? Write the ratio in 3 ways
Answer:
16/30, 8/15, 24/45
Answer:
8:15
8/15
8 to 15
Step-by-step explanation:
7 students are running for student council. how many different ways can their names be listed on the ballot
Step-by-step explanation:
7! = 5040 ways
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
Read more about fraction at
https://brainly.com/question/31896427
#SPJ1
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
Learn more about word problems at https://brainly.com/question/21405634
#SPJ1
chef johnson used 4/12 cups of flour to make 4 fruitcakes . how many cups of flour are needed for 1 fruitcake
Answer:
1/12
Step-by-step explanation:
4 fruitcakes=4/12 cups of flour
I fruitcake =x cups of flour
4x=4/12
48x=4
x=4/48
x=1/12
Item #1
Item #2
3
Oreos
$3.29
for 15 oz.
Chips Ahoy
$2.88
for 12 oz.
Unit Price
Which is the better deal? (Circle One)
Item #1 Item #2
Answer:
chips ahoy
Step-by-step explanation:
the better deal is the chips ahoy because you would almost get the same amount of cookies for less money.
Jacob spent 5 hours skiing and snowboarding. He skied for 2 hours 10 minutes.
How long did he spend snowboarding?
Answer:
he spent 2hours 50minutes snowboarding
the time he spent skiing and snowboarding minus the time he skied
5hours minus 2hours 10minutes
can someone help with this
Answer:
\(\frac{8}{45}\)
Step-by-step explanation:
'of' means 'multiply'
4/5 × 2/9 = 8/45
A large company event was held in a park on a hot day. Afterward, many of the employees got sick. Some blamed the potato salad. To investigate, a random sample of 20 sick employees and a random sample of 20 non-sick employees are selected. Each selected individual is asked if they ate the potato salad. The results are displayed in the table.
Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?
H0: There is no difference in the distribution of responses among those who are and are not sick.
Ha: There is a difference in the distribution of responses among those who are and are not sick.
H0: There is a difference in the distribution of responses among those who are and are not sick.
Ha: There is no difference in the distribution of responses among those who are and are not sick.
H0: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
H0: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.
The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.
The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.
On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.
By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.
Therefore, the correct answer is:
H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.
Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.
For more such questions on hypotheses , Visit:
https://brainly.com/question/25263462
#SPJ11
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
Simplify the expression -7c^8 * (-0.4c^3)^2
Answer:
\(-1.12c^{14}\)
Step-by-step explanation:
An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed: _____mph Direction:______ °
Answer:
your answer is gonna be 579 miles that would be your answer
The ground speed will be 454.2 mph in north east.
What is a vector?The quantity which has magnitude, direction and follows the law of vector addition is called a vector.
Given that airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination.
The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east.
The component of an airplane will be
x =450 sin 10
x = -244.8
y = 450 cos 10
x = -377.5
The component of wind will be
x =34sin 85
x = -5.98
y = 34 cos 85
x = -33.4
Then the ground speed will be 454.2 mph in north east.
More about the vector link is given below.
brainly.com/question/13188123
#SPJ2
Pls help me! Will give brainest to whoever is correct
Answer:
When x= 3,
2x => 6
5x+ 1 => 16
According to the pythagorus theorem,
hypotenus²= base² + height²
hypotenus²= 6² + 16²
hypotenus = √ 292 = 17.1
answer option no. 3
Answer:
2. 17.1 units
Step-by-step explanation:
x=3
2 x 3=6
5 x 3 + 1=16
6² + 16²=c²
36 + 256=c²
292=c²
\(\sqrt{292}\)=17.0880075
c=17.1
I need help. This is due later today.
Answer:
D is one of them
Step-by-step explanation:
Question 16 of 25
Use the zeros and the labeled point to write the quadratic function shown in
the graph
30
(1,8)
O A. y=2x2+2x– 12
O B. y=-2 - X+6
O C. y=-272 - 2x + 12
O D. y=x+x-6
SUBMIT
Answer:
x+x-6
Step-by-step explanation:
The correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the functions. It is asked to identify the statements that describe these functions.
The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).Therefore, the correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
Please help and fast for brainliest
The graph shows the number of gallons of white paint that were mixed with gallons of green paint in various different ratios:
Draw the graph on a grid. The title is Mixing Paint. The horizontal axis label is Green Paint in gallons. The scale is 0 to 24 in increments of 3. The vertical axis label is White Paint in gallons. The scale is 0 to 72 in increments of 9. Plot points at the ordered pairs 3,9 and 6,18 and 9,27.
The number of gallons of white paint mixed with 1 gallon of green paint is ______.
Answer:
3 gallons
Step-by-step explanation:
For every value of green ( 'x') ....white is 3 times as much
for 1 gallon green ====> 3 gallons white
You start driving for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
13.34
Step-by-step explanation
Pythagorean Theorem: c= sqrt(a^2+b^2) or a^2=+b^2=sqrt(c)
3^2+13^2= sqrt(178) = 13.34166= 13.34
Evaluate each expression if x= 10, y= -2, and z= -5
Answer:
There are no expressions provided in the question.
Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
learn more about quotient on brainly.com/question/16134410
#SPJ9
Select the correct answer.
Which graph represents this equation?
5y = x + 5
Answer: the graph that passes through 0,1
Step-by-step explanation:
y=1/5x+1
Find the center and radius of this
circle:
(x + 13)²+(y + 2)² = 81
Center = ([?],[])
Radius = []
Enter
The center of the circle is (13, 2)
The radius of the circle is 9
How to find the radius of the circleTo find the center and radius of the circle described by the equation:
(x + 13)² + (y + 2)² = 81
We can compare with the standard form of the equation of the circle which is
(x - h)² + (y - k)² = r²
it can be deduced that
-h = 13, h = -13
-k = 2, k = -2
r² = 81, r = 9
This is the equation for a circle with center at (13, 2) and radius 9. So the center of the circle is (13, 2) and the radius is 9.
Learn more about circle at:
https://brainly.com/question/1506955
#SPJ1
Answer:
Center = (-13,-2)
Radius = 9
Using area model solve this. David bought 5.2 pounds of oranges for $1.20 per pound. How much did David spend?
Answer:
$6.24
Step-by-step explanation:
David bought 5.2 pounds of oranges for $1.20 per pound. How much did David spend?
$1.2 * 5.2 = $6.24
An Aircraft factory manufactures airplane engines. The unit cost C ( the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function C(x)=0.6^2-324x+56,258. What is the minimum unit cost? Do not round your answer.
We have that the unit cost is given by a parabola, and the leading coefficient is given by 0.6 (it is positive), then, we have a minimum in the shape of the parabola.
A way to find the minimum is to find the vertex of the parabola (in this given case, the vertex is the minimum point) which coordinates are as follows:
\(x_v=-\frac{b}{2a},y_v=c-\frac{b^2}{4a}\)Since we need to find the minimum unit cost, we need to find the value for y. Then, we have:
\(0.6x^2-324x+56258\)a = 0.6
b = -324
c = 56258
Then
\(y_v=56258-\frac{(-324)^2}{4\cdot(0.6)}\Rightarrow y_v=12518\)Therefore, the minimum unit cost is equal to $12,518.
x2 + 7x + 12 = ** Show
x² + 7x + 12 = 0
Using the factorisation method
Find two numbers such that its product gives 12 and its sum gives 7
The two numbers are 3 and 4
Replace 7 in the equation by those two numbers and then factorise
That is;
x² + 3x + 4x + 12 = 0
x(x+3) + 4(x+3) = 0
(x+3)(x+4) = 0
Either x+3 = 0 or x+4 =0
Either x = -3 or x= -4
What is x + 2^6 + 6(x - 19) if x = 12.7?
Answer:
38.9
Step-by-step explanation:
Which of the following is a difference of cubes?
x^3 +8y^3
3x^3 - 8y^6
125x^6 - 9y^3
8x^3 - 27y^6
The difference of cube expression is (d) 8x^3 - 27y^6
How to determine the expression?From the question, the list of options represent the given parameters:
Also, we understand that:
The expression must be a difference of cube expression
An expression that is a difference of cube expression must have the following properties
Number of terms = 2Different mathematical operators i.e. sum and differenceEach term can be express as cubesUsing the above as a guide, the expression that is a difference of cube is 8x^3 - 27y^6
This is because
8x^3 = (2x)^3
- 27y^6 = (-3x)^2
Read more about difference of cube at
https://brainly.com/question/12003742
#SPJ1
NO LINKS!! URGENT HELP PLEASE!!!
11. Write the equation for the graph
This is the same as writing y = sqrt(4(x+5)) - 1
===============================================
Explanation:
The given graph appears to be a square root function.
The marked points on the curve are:
(-4,1)(-1,3)(4,5)Reflect those points over the line y = x. This will have us swap the x and y coordinates.
(-4,1) becomes (1,-4)(-1,3) becomes (3,-1)(4,5) becomes (5,4)Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.
----------
Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).
Plug the coordinates of each point into the template y = ax^2+bx+c.
For instance, plug in x = 1 and y = -4 to get...
y = ax^2+bx+c
-4 = a*1^2+b*1+c
-4 = a+b+c
Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c
Repeat for (5,4) and you should get 4 = 25a+5b+c
We have this system of equations
-4 = a+b+c-1 = 9a+3b+c4 = 25a+5b+cUse substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.
In other words
a = 1/4, b = 1/2, c = -19/4
We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4
----------
Next we complete the square
y = (1/4)x^2+(1/2)x-19/4
y = (1/4)( x^2+2x )-19/4
y = (1/4)( x^2+2x+0 )-19/4
y = (1/4)( x^2+2x+1-1 )-19/4
y = (1/4)( (x^2+2x+1)-1 )-19/4
y = (1/4)( (x+1)^2-1 )-19/4
y = (1/4)(x+1)^2- 1/4 - 19/4
y = (1/4)(x+1)^2 + (-1-19)/4
y = (1/4)(x+1)^2 - 20/4
y = (1/4)(x+1)^2 - 5
The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.
----------
The last batch of steps is to find the inverse.
Swap x and y. Then solve for y.
y = (1/4)(x+1)^2 - 5
x = (1/4)(y+1)^2 - 5
x+5 = (1/4)(y+1)^2
(1/4)(y+1)^2 = x+5
(y+1)^2 = 4(x+5)
y+1 = sqrt(4(x+5))
y = sqrt(4(x+5)) - 1
I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.
You can also use a tool like GeoGebra to verify the answer.