Answer:
112
Step-by-step explanation:
Original Score equals 14 right?
If chase doubles his original Score daily it will be
14*2 (Tuesday)=28
28×2 (Wednesday)=56
56×2 (Thursday)=112
Therefore,
Chase's Final score Equals 112
The number of points did he score on Thursday is 112.
Given that,
Chase scored 14 points on Monday. And he doubled his score each day thereafter.Based on the above information, the calculation is as follows:
On Monday = 14
On Tuesday = (14) (2) = 28
On Wednesday = (28) (2) = 56
On Thursday = (56) (2) = 112
Therefore, we can conclude that the number of points did he score on Thursday is 112.
Learn more: brainly.com/question/24169758
A triangle in the xy-coordinate plane is formed by the points (3, 5), (− 1, 5) , and (3,− 6) . What is the perimeter and area of this triangle?
Answer:
Therefore, the perimeter of the triangle is 26.7 units and the area is 22 square units.
Step-by-step explanation:
Given the vertices of a triangle as: A(3, 5), B(− 1, 5), and C(3,− 6)
Since A and B are on the same y-coordinate, we have that:
AB = 3-(-1)=4 Units
Since A and C are on the same x-coordinate, we have that:
AC=5-(-6)=11 Units
Next, we determine the distance BC using the distance formula.
Given: B(− 1, 5), and C(3,− 6)
[tex]BC=\sqrt{(3-(-1))^2+(-6-5)^2}\\= \sqrt{(4)^2+(-11)^2}=\sqrt{137}$ Units[/tex]
Therefore:
Perimeter of the Triangle
[tex]= 4+11+\sqrt{137}\\ =15+\sqrt{137}$ Units\\=26.7 Units[/tex]
On plotting the triangle, it forms a right triangle such that the:
Base = 4 Units
Height = 11 Units
Therefore:
Area of a triangle [tex]=\dfrac12 *Base*Height[/tex]
Therefore:
Area of the Triangle = 0.5 X 4 X 11
=22 Square Units.
Therefore, the perimeter of the triangle is 26.7 units and the area is 22 square units.
A magazine provided results from a poll of 1000 adults who were asked to identify their favorite pie. Among the 1000 respondents, 14 % chose chocolate pie, and the margin of error was given as plus or minus 3 percentage points. What values do ModifyingAbove p with caret , ModifyingAbove q with caret , n, E, and p represent? If the confidence level is 95 %, what is the value of alpha ?
Answer:
The value of α is 0.05.
Step-by-step explanation:
A poll of 1000 adults was conducted to determine their favorite pie.
The poll result states that among the 1000 respondents, 14 % chose chocolate pie, and the margin of error was given as plus or minus 3 percentage points.
[tex]\hat p=\text{Sample Proportion of adults who chose chocolate pie} = 0.14\\\hat q=\text{Sample Proportion of adults who did not chose chocolate pie}\\=1-\hat p\\=0.86\\n=\text{Sample size}=1000\\E=\text{Margin of Error}=0.03\\p=\text{Population Proportion of adults who chose chocolate pie}[/tex]
The confidence level is 95%.
Determine the value of significance level, α as follows:
[tex]\text{Confidence Level}=(1-\alpha)\%\\\\95\%=(1-\alpha)\%\\\\0.95=(1-\alpha)\\\\\alpha=1-0.95\\\\\alpha=0.05[/tex]
Thus, the value of α is 0.05.
At a high school, 9th and 10th graders were asked whether they would prefer
robotics or art as an elective. The results are shown in the relative frequency
table.
To the nearest percent, what percentage of 10th graders surveyed preferred robotics?
Using the percentage concept, it is found that 51% of 10th graders surveyed preferred robotics, hence option B is correct.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, we have that 33% out of 65% of the students are 7th graders who preferred robotics, hence the percentage is given by:
[tex]P = \frac{33}{65} \times 100\% = 51%[/tex]
Which means that option B is correct.
More can be learned about percentages at https://brainly.com/question/14398287
#SPJ1
Answer:
It's A. 61% The dude above me is wrong.
Step-by-step explanation:
I just took the test
The polynomial-7.5x^2 + 103 + 2142 models the yearly number of visitors (in thousands) x years after 2007 to a park. Use this polynomial to estimate the number of visitors to the park in 2021.
Answer:
In that year approximately 2114 thousand people visited the park.
Step-by-step explanation:
Since the expression [tex]y(x) = -7.5*x^2 + 103*x + 2142[/tex] models the number of visitors in the park, where x represents the number of years after 2007 and 2021 is 14 years after that, then we need to find "y" for that as shown below.
[tex]y(14) = -7.5*(14)^2 + 103*14 + 2142\\y(14) = -7.5*196 + 1442 + 2142\\y(14) = -1470 + 3584\\y(14) = 2114[/tex]
In that year approximately 2114 thousand people visited the park.
There are 9 numbers written, beginning with: 8, 5, 4, 9, 1, ... Finish the sequence.
Answer:
14 -50 -29 -541
Step-by-step explanation:
8-3=5-1=4+5=9-8=1+13=14-64=-50+21=-29-512=-541
i got this by looking up sequence pattern finder in google and clicking on the second option then inserting the numbers you gave hope this helps
Find the volume & surface area of a cylinder with radius 4 cm and height 9 cm
Answer:
V= 452.39cm³ (to 2 d.p. )
S.A. = 326.73cm² (to 2 d.p. )
Step-by-step explanation:
Vcylinder = π r² h = π (4)² (9) = 144 π = 452.3893421cm³ = 452.39cm³ (to 2 d.p. )
S.A. cylinder = 2π r h + 2π r² = 2π (4)(9) + 2π (4)² = 104π = 326.725636cm² = 326.73cm² (to 2 d.p. )
Give the coordinates of two points that lie on the hyperbola y=2/x
Answer:
(1, 2), (-2, -1)
Step-by-step explanation:
We can choose x = 1 and find y:
y = 2/1 = 2
(x, y) = (1, 2)
We can choose x = -2 and find y:
y = 2/(-2) = -1
(x, y) = (-2, -1)
look at the figure shown below
Answer:
Answer is given below with explanations.
Step-by-step explanation:
Answer is option 1) 85 : 51
[tex]given \: that \: \\ triangle \: SPT \: is \: similar \: to \: triangle \: QPR \\ corresponding \: sides \: of \: similar \: \\ triangles \: are \: in \: proportion \\ then \: \\ \frac{SP}{ QP} = \frac{PT }{ PR} \\ \frac{3x}{3x + 24} = \frac{51}{85} \\ taking \: reciprocal \: on \: both \: sides \\ \frac{3x + 24}{3x} = \frac{85}{51} [/tex]
Option 1 is correct.
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2^2+ 5^2 – 8x– 10 = 0
Stacy makes 1.5 L of yogurt. She wants to fill 125 mL cups with yogurt. Which calculation can be used to determine the number of cups Stacy can fill?
Answer:
12 cupsStep-by-step explanation:
Total amount of yogurts made by Stacy = 1.5 Litres
Volume of each cups to be filled with yogurts = 125mL = 125*10⁻³Litres
To get the number of cups Stacy can fill for her to exhaust 1.5Litres can be gotten using the relationship;
Number of cups = Total volume of yogurts made/Volume of each cup
Number of cups = 1.5/125*10⁻³
Number of cups = 1.5/0.125
Number of cups = 12 cups
Number of cups Stacy can fill is 12 cups
Make a matrix A whose action is described as follows: The hit by A rotates everything Pi/4 counterclockwise radians, then stretches by a factor of 1.8 along the x-axis and a factor of 0.7 along the y-axis and then rotates the result by Pi/3 clockwise radians.
Answer:
The required matrix is[tex]A = \left[\begin{array}{ccc}1.07&-0.21\\-0.86&1.35\end{array}\right][/tex]
Step-by-step explanation:
Matrix of rotation:
[tex]P = \left[\begin{array}{ccc}cos\pi/4&-sin\pi/4\\sin\pi/4&cos\pi/4\end{array}\right][/tex]
[tex]P = \left[\begin{array}{ccc}1/\sqrt{2} &-1/\sqrt{2} \\1/\sqrt{2} &1/\sqrt{2}\end{array}\right][/tex]
x' + iy' = (x + iy)(cosθ + isinθ)
x' = x cosθ - ysinθ
y' = x sinθ + ycosθ
In matrix form:
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}cos\theta&-sin\theta\\sin \theta&cos\theta\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
The matrix stretches by 1.8 on the x axis and 0.7 on the y axis
i.e. x' = 1.8x
y' = 0.7y
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
[tex]Q = \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right][/tex]
According to the question, the result is rotated by pi/3 clockwise radians
[tex]R = \left[\begin{array}{ccc}cos(-\pi/3)& -sin(-\pi/3)\\-sin(\pi/3)&cos(\pi/3)\end{array}\right][/tex]
[tex]R = \left[\begin{array}{ccc}1/2&\sqrt{3}/2 \\-\sqrt{3}/2 &1/2\end{array}\right][/tex]
To get the matrix A, we would multiply matrices R, Q and P together.
[tex]A = RQP = \left[\begin{array}{ccc}1/2&\sqrt{3}/2 \\-\sqrt{3}/2 &1/2\end{array}\right] \left[\begin{array}{ccc}1.8&0\\0&0.7\end{array}\right] \left[\begin{array}{ccc}1/\sqrt{2} &-1/\sqrt{2} \\1/\sqrt{2} &1/\sqrt{2}\end{array}\right][/tex]
[tex]A = \left[\begin{array}{ccc}1.07&-0.21\\-0.86&1.35\end{array}\right][/tex]
What is 6 1/2 - 2 2/3 =
Answer
3 5/6 or 3.83
Step-by-step explanation:
if a to the power x by y is equal to 1 then the value of x is
Answer:
a^x/y=1 x: 0
Step-by-step explanation: w.k.t, a^0=1( any variable raised to 0 is 1)
so, here the exponent is x/y which should have been 0 so that answer was 1.
Jennifer has carpet in her square bedroom. She decides to also purchase carpet for her living room which is rectangular in shape and 9 feet longer than her bedroom.
The area of the carpet required in the living room is given by the quadratic expression below, where x represents the side length, in feet, of the carpet in the bedroom.
X^2 + 9X
Match each part of the expression with what is represents.
Answer/Step-by-step explanation:
Let's highlight the dimensions of the bedroom and living room using the information given in the question:
==>Squared Bedroom dimensions:
Side length = w = x ft
Area = x*x = x²
==>Rectangular living room dimensions:
width = side length of the squared bedroom = x
length = (x + 9) ft
Area = L*W = x*(x+9) = x² + 9x
Now let's match each given expression with what they represent:
==>"the monomial, x, a factor of the expression x² + 9x" represents "the width of the carpet in the living room"
As we have shown in the dimensions of the squared bedroom above.
==>"the binomial, (x + 9), a factor of the expression x² + 9x" represents "the length of the carpet in the living room" as shown above in the dimensions for living room
==>"the second-degree term of the expression x² + 9x" represents "the area of the carpet in the bedroom"
i.e. the 2nd-degree term in the expression is x², which represents the area of the carpet of the given bedroom.
==>"the first-degree term of the expression x2 + 9x" represents "the increase in the area of carpet needed for the living room".
i.e. 1st-degree term in the expression is 9x. And it represents the increase in the area of the carpet for the living room. Area of bedroom is x². Area of carpet needed for living room increased by 9x. Thus, area of carpet needed for living room = x² + 9x
In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expense without borrowing money or going into debt. (a) What population is under consideration in the data set
Answer:
The population under consideration in the data set are all the adults in the United States.
Step-by-step explanation:
Sampling
This is a common statistics practice, when we want to study something from a population, we find a sample of this population.
For example:
I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
The population of interest are all the residents of New York State.
In this question:
Sample of 765 adults in the United states.
So the population under consideration in the data set are all the adults in the United States.
In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.
ith 0 identical marbles permitted to be included in any of the jars, An expression can be developed to determine the total of marbles in jar arrangements, which is:
E = [(n+j -1)!]*{1/[(j-1)!]*[(n)!]}, where n = number of identical balls and j =number of distinct jars, the contents of all of which must sum to n for each marbles in j jars arrangement. With n = 7 and j = 4. E = 10!/(3!)(7!) = 120= number of ways 7 identical marbles can be distributed to 4 distinct jars such that up to 3 boxes may be empty and the maximum to any box is 7 balls.i think is the answer
pls help me on this question
Answer:
h < 2
Step-by-step explanation:
Step 1: Distribute
10h + 40 < 60
Step 2: Subtract 40 on both sides
10h < 20
Step 3: Divide both sides by 10
h < 2
A chemist needs 120 milliliters of a 33% solution but has only 13% and 73% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
Answer:
40 ml of 73% solution required and 80 ml of 13% solution
Step-by-step explanation:
Let x = amt of 58% solution
It say's the amt of the resulting mixture is to be 120 ml, therefore
(120-x) = amt of 13% solution
A typical mixture equation
0.73x + 0.13(120-x) = 0.33(120)
0.73x + 15.6 - 0.13x = 39.6
0.6x=24
x=40 ml of 73% solution required
and
120 - 40 =80 ml of 13% solution
A production line operation is designed to fill cartons with laundry detergent to a mean weight of ounces. A sample of cartons is periodically selected and weighed to determine whether underfilling or overfilling is occurring. If the sample data lead to a conclusion of underfilling or overfilling, the production line will be shut down and adjusted to obtain proper filling.a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.: - Select your answer -: - Select your answer -b. Comment on the conclusion and the decision when cannot be rejected. Is there evidence that the production line is not operating properly
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under filling or overfilling is occurring. If the sample data lead to a conclusion of under filling or overfilling, the production line will be shut down and adjusted to obtain proper filling.
A. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
B. Comment on the conclusion and the decision when H0 cannot be rejected.
C. Comment on the conclusion and the decision when H0 can be rejected.
Solution:
A) We would set up the hypothesis. Under filling or over filling means two ways. Thus, it is a two tailed test
For null hypothesis,
H0: μ = 32
For alternative hypothesis,
H1: μ ≠ 32
B) if H0 cannot be rejected, it means that there was insufficient evidence to reject it. Thus, it would be concluded that the production line operation filled the cartons with laundry detergent to a mean weight of 32 ounces.
C) There was sufficient evidence to reject the null hypothesis. Thus, it can be concluded that there was under filling or over filling.
6.1.3
What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
Answer:
μ = 0σ = 1Step-by-step explanation:
A standard normal probability distribution is a normal distribution that has a mean of zero and a standard deviation of 1.
product 400 * 100,000
This is the value 40 million
================================================
Explanation:
You could use a calculator, or you could do it mentally. The second approach will have us note that 4*1 = 4, and then we tack on 7 zeros since we have two zeros in 400 and five zeros in 100,000 giving a total of 2+5 = 7
So that means 400*100,000 = 40,000,000 = 40 million
-------
You could also use scientific notation
400 = 4 x 10^2
100,000 = 1 x 10^5
400*100,000 = (4x10^2)*(1x10^5)
400*100,000 = (4*1) x (10^2*10^5)
400*100,000 = 4 x 10^(2+5)
400*100,000 = 4 x 10^7
400*100,000 = 40,000,000
The exponent of 7 means we move the decimal point 7 spots to the right to go from 4.0 to 40,000,000
what is the product of 25 and -6
Answer: -150
Step-by-step explanation: The result of a multiplication problem is called the product so we know that we will be multiplying here.
When multiplying integers, if the signs
are different, the product is negative.
So a positive times a negative always equals a negative.
Therefore, (+25) · (-6) is -150.
Answer: -150
Step-by-step explanation: took the unit test on edge
g True or False: A sample of size 25 provides a sample variance of 400. The standard error in this case, equal to 4, is best described as the estimate of the standard deviation of means calculated from sample of size 25.
Answer:
True.
Step-by-step explanation:
If we have for a sample of size n=25 a sample variance of 400, the standard error can be written as:
[tex]\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{\sqrt{400}}{\sqrt{25}}=\dfrac{20}{5}=4[/tex]
This way of calculating the standard error is the same used for estimating the standard deviation of the sample means for samples of size n=25.
Find the square of (2a+b)
Answer:
4a^2+4ab+b^2
Step-by-step explanation:
To find the square we multiply the expression with itself
(2a+b)×(2a+b) = 4a^2+4ab+b^2
Pls help me find the volume of this solid
Answer:
240cm³
Step-by-step explanation:
First, let's assume the entire shape is full rectangular prism without that has the middle being cut out.
What this means is that, to get the volume of the solid made out of clay, we would calculate the solid as a full rectangular prism, then find the volume of the assumed middle cut-out portion. Then find the difference between both.
Let's solve:
Find the volume of the rectangular prism assuming the solid is full:
Volume of prism = width (w) × height (h) × length (l)
w = 4cm
h = 7cm
l = 3+6+3 = 12cm
Volume of full solid = 4*7*12 = 336cm³
Next, find the volume of the assumed cut-out portion using same formula for volume of rectangular prism:
w = 4cm
h = 7-3 = 4cm
l = 6cm
Volume of assumed cut-out portion = 4*4*6 = 96cm³
Volume of solid made from clay = 336cm³ - 96cm³ = 240cm³
What is the area of the Tollowing right triangle?
13
5
Answer:
12
Step-by-step explanation:
The way to find the slope side of a traingle is
A^2+B^2=C^2 Next you substitute
5^2+B^2=13^2 Next simplify
25+B^2=169 Next use the subtraction property of equality
B^2=144 Next find the square root
B=12
Hope this helps :)
Answer:
height =12
Step-by-step explanation:
use Pythagorean theorem for right angle triangle:
a²+b²=c²
a²=c²-b²
a²=13²-5²
a²=144
a=√144-=12
Help???????????????????????????????????
Answer:
2Explanation:
F(2) means, value of function at x=2.
Here,you can see from the graph,from 0 to 4, it's a straight line and value of y is 2.
Hope this helps...
Good luck on your assignment....
One driver drives 25 mph faster than another driver does. They start at the same time and after a certain amount of time, one driver has driven 90 miles, and the other driver has driven 165 miles. What are the speeds of the two drivers?
Answer:
speed of slower driver 30 mph
speed of faster driver = 55 mph
Step-by-step explanation:
let the speed of slower driver b x mph
given
One driver drives 25 mph faster than another driver does
Speed of faster driver = (x+25) mph
we know time = speed / distance
also in same time faster will travel more distance than the slower one.
thus
driver with speed (x+25) mph would have traveled 165 miles
driver with speed x mph would have traveled 90 miles
time for driver with speed (x+25) mph = 165/(x+25)
time for driver with speed x mph = 90/x
Given that
They start at the same time and after a certain amount of time, one driver has driven 90 miles, and the other driver has driven 165 miles.
\time for driver with speed (x+25) mph =time for driver with speed x mph
165/(x+25) = 90/x
165x = 90(x+25)
=> 165x = 90x + 2250
=> 165x -90x = 2250
=> 75x = 2250
=> x = 2250/75= 30
Thus, speed of slower driver 30 mph
speed of faster driver = 30+25 = 55 mph
Will mark as brainliess and thanks for awnsering this simple question
Answer:
x=-2
Step-by-step explanation:
2 times -2=-4+3=-1
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.2 inches, and standard deviation of 3.3 inches.
A) What is the probability that a randomly chosen child has a height of less than 63.75 inches? Answer= ______________ (Round your answer to 3 decimal places.)
B) What is the probability that a randomly chosen child has a height of more than 60 inches? Answer= ______________ (Round your answer to 3 decimal places.)
Answer:
A) 0.989
B) 0.875
Step-by-step explanation:
Let the X denote height measurements of ten year old children.
Thus, X follows the Normal distribution with mean = 56.2 inches and standard deviation = 3.3 inches.
A) we have to find the probability that a randomly chosen child has a height of less than 63.75 inches.
That is;
P(X < 63.75)
using z score formula, we have;
Z = (X - μ)/σ
Where, μ is mean and σ is standard deviation.
Thus;
Z = (63.75 - 56.2)/3.3
Z = 2.288
From z distribution table, we have the value as approximately 0.989
B) Similarly, using z score formula, we have;
Z = (X - μ)/σ
Where, μ is mean and σ is standard deviation.
Thus;
we have to find the probability that a randomly chosen child has a height of more than 60 inches.
Z = (60 - 56.2)/3.3
Z = 1.1515
From z-tables, the value is approximately 0.875