Answer:
7182
Step-by-step explanation:
All you shoud do is to replace x by 9
● y = 10 * 9^3 -12*9
● y = 7182
Please answer this in two minutes
Answer:
m<B = 63.4°
Step-by-step explanation:
tangent = opposite ÷ adjacent
tan B = [tex]\frac{4}{2}[/tex]
tan B = 2
B = tan⁻¹ (2)
B = 63.4°
Hope this helps.
factor the following trinomials x2-18x+81
Answer:
(x - 9)(x - 9)
Step-by-step explanation:
Hey there!
Well to factor,
x^2-18x+81
we need to figure out what times what equal 81 and adds together to get -18.
-9*-9 = 81
-9 + -9 = -18
x*x = x^2
Factored - (x - 9)(x - 9)
Hope this helps :)
Different cereals are randomly selected and the sugar content in grams of sugar per grams of cereal are obtained. Use a .05 significance level to test the claim of cereal lobbyist that the mean sugar content for all cereals is less than .3 g. Data set: 0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
Answer:
Step-by-step explanation:
Hello!
X: content of sugar of a sample of cereal.
Data set:
0.03, 0.24, 0.30, 0.47, 0.43, 0.07, 0.47, 0.13, 0.44, 0.39, 0.48, 0.17, 0.13, 0.09, 0.45, 0.43
n= 16
[tex]\frac{}{X}[/tex]= 0.295g
S= 0.17g
You have to test if the mean sugar content is less than 0.3g
H₀: μ ≥ 0.3
H₁: μ < 0.3
α: 0.05
Assuming that the variable has a normal distribution, you have to conduct a t test:
[tex]t= \frac{\frac{}{X}-Mu }{\frac{S}{\sqrt{n} } } ~~t_{n-1}[/tex]
[tex]t_{H_0}= \frac{0.295-0.30}{\frac{0.17}{\sqrt{16} } } = -0.12[/tex]
p-value: 0.4533
The p-value is greater than α, the decision is to not reject the null hypothesis.
At a 5% significance level the decision is to not reject the null hypothesis. You can conclude that the average sugar content of the cereal is equal or greater than 0.3g of sugar per gram of cereal.
I hope this helps!
there are 9000 children in a town the probability that a child is affected by a virus 1/3 how many children are not likely to be affected
Answer:
6,000 children
Step-by-step explanation:
1/3 of 9,000 is 3,000
Meaning that out of 9,000 children, 3,000 WILL get affected. Since we are trying to figure out how many children will NOT get affected, just subtract the number of infected by the total amount which would be 6,000
The lengths of the sides of a triangle are 3, 3, 3 square root two . Can the triangle be a right triangle? yes or no
Answer:
no
Step-by-step explanation:
It is an equal lateral triangle, a right triangle has a side that is longer then the others
Solve the quadratic equation by using a numeric approach. x squared + 1.1 x minus 2 = 0 a. x = 1.7 and x = -29.2 c. x = 2.3 and x = -22.2 b. x = 3.7 and x = 29.2 d. x = 1.9 and x = -22.2
Answer:
None of the options are correct, the correct answers are: x = 0.967 and -2.067
Step-by-step explanation:
[tex]x^2 + 1.1x - 2 = 0[/tex]
Comparing this equation with [tex]ax^2 + bx + c = 0[/tex]
a = 1, b = 1.1, c = -2
Using the almighty formula for solving quadratic equation:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm \sqrt{1.1^2 - 4(1)(-2)} }{2(1)} \\x = \frac{-1.1 \pm 3.035 }{2}\\x_1 = \frac{-1.1 + 3.035 }{2} = 0.967\\x_2 = -\frac{-1.1 - 3.035 }{2} = -2.067[/tex]
Answer:
A on edge 2021. Just took practice quiz.
Step-by-step explanation:
x = 1.7 and x = -29.2
what is the value of [3.6]
Answer:
3
Step-by-step explanation:
You remove the brackets and round down to the nearest whole number which is three..
Edge 2020
~theLocoCoco
Answer:
a
Step-by-step explanation:
edge 2021
Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items. Rock beats Scissors, Scissors beat Paper, and Paper beats Rock. Assuming that both Jim and Renee have an equal chance of choosing any one of the hand signs, what is the probability that Jim will win
Answer: [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
Given: Jim and Renee will play one game of Rock, Paper, Scissors. In this game, each will select and show a hand sign for one of the three items.
Rock beats Scissors, Scissors beat Paper, and Paper beats Rock.
We assume that both Jim and Renee have an equal chance of choosing any one of the hand signs.
Since, there are 3 possibilities, either Jim win or Renee or its a tie.
So, the probability that Jim will win: [tex]\dfrac{\text{Outcomes for Jim to win}}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{1}{3}[/tex]
Hence, the required probability is [tex]\dfrac{1}{3}[/tex] .
Water is essential for our life. Here r the few uses of water. Arrange these activities in order from least to most, according to the amount of water used. To water the fields,kneading the dough,taking a bath,to drink, swimming
To drink, kneading the dough, taking a bath, water fields and swimming
In my opinion
Answer:
Step-by-step explanation:
Watering the fields is going to take the most water.
Swimming requires a good deal of water, but the answer depends on where you do the swimming. I will assume it is a pool. But if it is a river or lake, you might look at the order of these first two listed.
Taking a bath takes more water than you might think, and the water has to be purified after using once. I shower does not really cut down on the amount of water used.
Taking a drink requires, usually, 8 oz. That's more than the water needed for kneading bread dough.
To get the answer the way it is asked, read from the bottom up.
Find the 9th term geometric sequence 1,1/2,1/2^2w. Please show the steps.
Answer:
9th term geometric sequence (a9) = 1 / 256
Step-by-step explanation:
Given:
Geometric sequence 1,1/2,1/2²
First term (a) = 1
Common ratio (r) = A2 / A1 = (1/2) / 1 = 1/2
Number of term (n) = 9
Find:
9th term geometric sequence (a9)
Computation:
[tex]an = ar^{n-1}[/tex]
a9 = ar⁹⁻¹
a9 = (1)(1/2)⁸
a9 = (1/2)⁸
a9 = 1/256
9th term geometric sequence (a9) = 1 / 256
You’re working in a pharmacy, and are making a table to help with dosage amounts for a certain drug. The recommended dosage is 40 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours. You want entries for children weighing 10 pounds, 15 pounds and 30 pounds. The drug comes in a 200 mg5 ml formula. If 1 teaspoon = 5 ml, how many teaspoons are required for each entry? Round your answer to the nearest 14 teaspoon.
Answer: The children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.
Step-by-step explanation:
Given, The recommended dosage is 40 milligrams per 2.2 pounds of body weight, divided into three daily doses and taken every 8 hours.
i.e. for 1 pound of body weight required dosage per day= [tex]\dfrac{40}{2.2}=18.18\ ml[/tex]
Each dose consist = [tex]\dfrac{18.18}{3}=6.06\ ml[/tex] drug.
so, 1 pound of body weight required 6.06 ml for each dose.
Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml
If 1 teaspoon = 5 ml, then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.
15 pounds of body weight require 15 x 6.06 ml drug= 90.9 ml
Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.
30 pounds of body weight require 30 x 6.06 ml drug= 181.8 ml
Then 30 pounds of body weight require (181.8 ml ÷5) = 36.36 ≈ 36 teaspoons.
Hence, the children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively.
Answer:
A. 1, 1 1/2 , 2 3/4
Step-by-step explanation:
REMEMBER: 1 teaspoon = 5 ml.
For 1 pound of body weight required dosage per day= {40}{2.2}=18.18 ml
Each dose consist = {18.18}{3}=6.06 ml drug.
so, 1 pound of body weight required 6.06 ml for each dose.
Then, 10 pounds of body weight require 10 x 6.06 ml drug= 60.6 ml
If 1 teaspoon = 5 ml, then 10 pounds of body weight require (60.6 ml ÷5) = 12.12 ≈12 teaspoons.
15 pounds of body weight require 15 x 6.06 ml drug= 90.9 ml
Then 15 pounds of body weight require (90.9 ml ÷5) = 18.18≈18 teaspoons.
30 pounds of body weight require 30 x 6.06 ml drug= 181.8 ml
Then 30 pounds of body weight require (181.8 ml ÷5) = 36.36 ≈ 36 teaspoons.
Hence, the children weighing 10 pounds, 15 pounds and 30 pounds require 12 teaspoons , 18 teaspoons, 36 teaspoons respectively which deduct to 1, 1 1/2 , 2 3/4 when converted to the fraction requested in the problem.
Which equation represents a line that has a slope of −2/3 and a y-intercept of 4?
Answer:
y = -2/3x + 4
Step-by-step explanation:
In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.
The number with which "x" is multiplied is the slope.
So in this case, the slope is -2/3; so the equation should be like -2/3x.
The y-intercept is 4, so it is the number with which no variable is multiplied.
So the equation is:
=> y = -2/3x + 4
A politician claims that a larger proportion of members of the news media are Democrats when compared to the general public. Let p1 represent the proportion of the news media that is Democrat and p2 represent the proportion of the public that is Democrat. What are the appropriate null and alternative hypotheses that correspond to this claim
Answer:
[tex]H_{o}[/tex]: Larger proportion of news media = democrats
Ha : Large proportion of news media [tex]\neq[/tex] democrats
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
Which of the following is the reciprocal parent function?
A. F(x) = -X
B. F(x) = x^3
C. F(x)=1/x
D. F(x)= (x)
SUBMIT
Answer:
C. F(x)=1/x
Step-by-step explanation:
The reciprocal of a number is 1 divided by that number. It is also called the multiplicative inverse. Hence, the reciprocal function is ...
F(x)=1/x . . . . . . matches choice C
In how many different ways can you make exactly $0.75 using only nickels, dimes, and quarters, if you must have at least one of each coin?
Answer:18
Step-by-step explanation:
There are total of 6 ways to make exactly $0.75 using a nickels, dimes, and quarters.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Since we know that
1 Quarter = 0.25 of Dollar
1 Dime = 0.10 of Dollar
1 Nickel = 0.05 of Dollar
Let's say we make Q number of the quarter, D number or dime, and N number of nickel.
Then equation formed will be
0.25Q + 0.10D + 0.05N = 0.75
From it is clear that the possible outcomes are
Qarteres =1, Dime =1, Nickel =2
Qarteres =1, Dime =2,Nickel = 4
Qarteres =1,Dime =3, Nickel = 6
Qarteres =1,Dime =4, Nickel = 8
Qarteres = 2, Dime =1,Nickel = 1
Qarteres = 2, Dime =2, Nickel = 3
Hence there will be a total of 6 outcomes.
For more about the equation
brainly.com/question/2263981
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Please answer it now in two minutes
Answer:
901.1 km²
Step-by-step explanation:
The area of ∆WXY can be found using the formula, ½*a*b*sin(θ),
Where a and b, are two known sides of the triangle, and θ is the angle between both sides.
To find the area of ∆WXY, follow the steps below:
Step 1: Find XY using the law of sines.
m < W = 180 - (65 + 48) (sum of angles in a ∆)
W = 180 - (113) = 67°
X = 65°
WY = 49 km
XY = ?
[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]
[tex] \frac{XY}{sin(67)} = \frac{49}{sin(65)} [/tex]
[tex] \frac{XY}{0.92} = \frac{49}{0.91} [/tex]
Cross multiply
[tex] XY*0.91 = 49*0.92[/tex]
Divide both sides by 0.91
[tex] \frac{XY*0.91}{0.91} = \frac{49*0.92}{0.91} [/tex]
[tex] XY = 49.54 [/tex]
XY ≈ 49.5
Step 2: find the area
Area = ½*WY*XY*sin(Y)
Area = ½*49*49.5*sin(48)
Area = ½*49*49.5*0.743
Area = 901.07325
Area = 901.1 km² (nearest tenth)
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.11 hours 0.25 hours 0.88 hours 1.84 hours green t-shirts
Answer:
Step-by-step explanation:
Berto’s train was 34 miles past the egg farm .
Eduardo’s train had 12 miles to go before it reached the egg farm.
Distance between two trains = 34 + 12 = 46 miles
This distance has to be reduced to zero for their crossing each other .
Rate at which this distance is reduced = their relative velocity
= 110 - 85
= 25 miles / h [ They are moving in the same direction ]
So, time taken for them to meet each other
= 46 / relative velocity
= 46 / 25
= 1.84 hours .
Answer:
The answer is D or 1.84 hours.
Step-by-step explanation:
I got 100% on this quiz.
For which value of 0 is cot (0) undefined?
90°
180°
270°
450°
Answer:
The value of cot theta is undefined for all the options
Step-by-step explanation:
I think the best way to go about this is by the use of a calculator.
All that needs to be done is to input the individual values to see where we have an answer that is out of it.
Now, moving away from the calculators, we know quite well that cot is a derivative of tan.
By knowing the values at which we have tan as undefined, we can appropriately see values where cot too would be undefined.
On a normal scientific calculator, there is no cot functionality.
The way around this is to express
Cot theta as 1/tan theta
Thus cot 90 = 1/cot(90) = calculation error
Cot 180 = 1/tan (180) = calculation error
Cot 270 = 1/tan 270 = calculation error
Cot 450 = 1/tan (450) = calculation error
This shows that the value of cot is undefined for all of these options
Answer:
180
Step-by-step explanation:
Which equation represents a proportional relationship that has a constant proportionality equal to 0.7
Y/x=7/10
Y/x=1/7
XY=7/10
XY=1/7
Answer:
first option
Step-by-step explanation:
The equation representing a proportional relationship is
y = kx ← k is the constant of proportion
Here k = 0.7, thus
y = 0.7x ← is the required equation
Given
[tex]\frac{y}{x}[/tex] = [tex]\frac{7}{10}[/tex] ( cross- multiply )
10y = 7x ( divide both sides by 10 )
y = [tex]\frac{7}{10}[/tex] x = 0.7 x ← the required equation
help me out??? first pic is the graph second is the answer choices
Answer: Choice D. 2x^2+2y^2 = 32
=================================================
Explanation:
The highest point of this circle is (0,4). The lowest point is (0,-4). The midpoint between the two mentioned points is (0,0). This is the center of the circle. You'll find that (0,0) is also the midpoint of the left-most and right-most points on this circle.
(h,k) = (0,0) is the center
r = 4 is the radius as it is the distance from the center to the edge of the circle
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 4^2
x^2+y^2 = 16 is one way to express the equation of the circle
For some reason, your teacher has decided to multiply both sides by 2. I'm not exactly sure why. But doing so leads to...
x^2+y^2 = 16
2(x^2+y^2) = 2*16
2x^2+2y^2 = 32
This matches up with choice D.
Answer:
D.
Step-by-step explanation:
According to the graph, the circle has a center of (0, 0) and a radius of 4. That means that the equation of the circle will be (x - 0)^2 + (y + 0)^2 = 4^2.
x^2 + y^2 = 16
A. If you divided all terms by 20, the radius would become 16 / 20 = 8 / 10 = 0.8. That is not 1, so choice A is incorrect.
B. If you multiplied all terms by 6, the radius would be 16 * 6 = 96, which is not 144. Choice B is incorrect.
C. This choice is obviously incorrect, since it should be + y instead of - y.
D. This choice is correct. All terms are multiplied by 2.
Hope this helps!
what is the product number of 88 and 26?
Answer:
2288
Step-by-step explanation:
In a game, one player throws two fair, six-sided die at the same time. If the player receives a five or a one on either die, that player wins. What is the probability that a player wins after playing the game once
Answer:
probability that a player wins after playing the game once = 5/9
Step-by-step explanation:
To solve this, we will find the probability of the opposite event which in this case, it's probability of not winning and subtract it from 1.
Since, we are told that there are 2 fair six sided die thrown at the same time and that he receives a five or a one on either die ;
Probability of not winning, P(not win) = 4/6.
Thus;
P(winning) = 1 - ((4/6) × (4/6))
P(winning) = 1 - 4/9 = 5/9
The following sphere has a diameter of 11 inches.
What is the volume of the sphere? Use 3.14 for it and round your answer to the nearest tenth.
O 5,572.5 in.3
O 696.6 in.)
O 174.1 in."
O 126.6 in.3
Answer:
[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]
Step-by-step explanation:
Diameter = 11 inches
Radius = 11/2 = 5.5 inches
[tex]Volume \ of \ a \ sphere = \frac{4}{3} \pi r^3[/tex]
Where r = 5.5
V = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(166.375)[/tex]
V = [tex]\frac{2090.7}{3}[/tex]
V = 696.9 in.³
how would you solve #81?
Can somebody please help me with this & show work ?? :)
Answer:
s = 116°, q and t are 64°
Step-by-step explanation:
isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64
What is the perimeter of the parallelogram?
Answer 18
Solve 5+5+4+4=18
A simple random sample from a population with a normal distribution of 102 body temperatures has x overbarequals98.40degrees Upper F and sequals0.66degrees Upper F. Construct an 80% confidence interval estimate of the standard deviation of body temperature of all healthy humans. Is it safe to conclude that the population standard deviation is less than 1.80degrees Upper F?
Answer:
It is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F
Step-by-step explanation:
The given information are;
The sample size, n = 102
The sample mean = 98.4°F
The sample standard deviation = 0.66°F
[tex]\sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}< \sigma < \sqrt{\dfrac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}[/tex]
α = 0.2, ∴ α/2 = 0.1
[tex]\chi _{1-\alpha /2}[/tex] = [tex]\chi _{0.9, 101}[/tex] = 83.267
[tex]\chi _{\alpha /2}[/tex] = [tex]\chi _{0.1, 101}[/tex] = 119.589,
Which gives;
[tex]\sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{119.589}^{}}}< \sigma < \sqrt{\dfrac{\left (102-1 \right )0.66^{2}}{83.267}^{}}}[/tex]
0.607 < σ <0.727
Therefore, it is 80% statistically safe to conclude that the population standard deviation is less than 1.8°F.
Emily asked the players on her volleyball team their height in inches and listed the results below. What is the range of the data set? Round to the nearest tenth when necessary. 70, 70, 70, 60, 65, 67
Answer:
the range is 10
Step-by-step explanation:
70 is the highest and 60 is the lowest
70-60=10
The graph of g(x) is a transformation of the graph of f(x)=4x.
42
Step-by-step explan
Please answer this in two minutes
Answer:
14.
Step-by-step explanation:
From the question given, we obtained the following information:
When angle θ = 60°
Adjacent = 7
Hypothenus = s
When angle θ = 30°
Opposite = 7
Hypothenus = s
We can use any of the above to determine the value of 's'.
Here, we shall consider when angle θ is 60°.
Cos θ = Adjacent /Hypothenus
Angle θ = 60°
Adjacent = 7
Hypothenus = s
Cos θ = Adjacent /Hypothenus
Cos 60° = 7/s
But Cos 60° = 1/2
1/2 = 7/s
Cross multiply
s = 2 x 7
s = 14
Therefore, the value of 's' is 14