Answer:
19.995
Step-by-step explanation:
Does the graph represent a function? Why or why not
Answer:
B
Step-by-step explanation:
It passes the vertical line test. Going up and down it doesn't touch the line at two separate points at any time.
A representative of a car manufacturer in the United States made the following claim in a news report. "Ten years ago, only 53 percent of Americans owned American-made cars, but that figure is significantly higher today." A research group conducted a study to investigate whether the claim was true. The group found that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars. A test of the appropriate hypotheses resulted in a p-value of 0.283. Assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago?
i. Yes, because 0.56 > 0.53.
ii. Yes, because a reasonable interval for the proportion is 0.56 ± 0.283.
iii. Yes, because 0.56 - 0.53 = 0.03 and 0.03 < 0.05.
iv. No, because 0.283 < 0.53.
v. No, because 0.283 > 0.05.
According to the p-value, the correct option regarding the decision of the test hypothesis is:
v. No, because 0.283 > 0.05.
What are the hypothesis tested?At the null hypothesis, we test if the proportion is still of 0.53, that is:
[tex]H_0: p = 0.53[/tex]
At the alternative hypothesis, we test if it has increased, that is:
[tex]H_1: p > 0.53[/tex].
What is the decision according to the p-value?If p-value > significance level, we do not reject the null hypothesis.If p-value < significance level, we reject the null hypothesis.In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.
More can be learned about p-values at https://brainly.com/question/16313918
Note: Please do not answer this question by putting links!
A number cube has 5 green sides and 1 orange side.
(INPUT ANSWERS AS FRACTIONS)
1. What is the probability of 2 green outcomes and 2 orange outcomes when you roll the number cube 4 times?
The probability of 2 green outcomes and 2 orange outcomes when you roll the number cube 4 times is 0.116.
How to find the probability?Assuming that it is a fair number cube, the probability of getting green is given by the quotient between the outcomes that give the color green and the total number of outcomes.
We know that there are 5 green sides (so 5 outcomes give the color green) and the dice has 6 sides (so there is a total of 6 outcomes). Then the probability of rolling green is:
P = 5/6.
The probability of rolling orange is computed in the same way, 1 outcome gives the color orange and there are 6 outcomes in total, so the probability of getting orange is:
Q = 1/6.
Now, let's assume that when we roll four times we get:
green - green - orange - orange.
The probability of that is given by the product of the individual probabilities, it is:
p = P*P*Q*Q = (5/6)*(5/6)*(1/6)*(1/6).
Now, we also need to take in account all the possible permutations, these are:
green - green - orange - orange.green - orange - green - orange.green - orange - orange - greenorange - green - green - orangeorange - green - orange - greenorange - orange - green - green.So there are 6 permutations, to get the total probability of rolling 2 green outcomes and 2 orange outcomes, we need to multiply this number by the probability we got above.
Probability = 6p = 6* (5/6)*(5/6)*(1/6)*(1/6) = 0.116
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
How do you tell if a number is a solution of an equation?
Substitute the number for the variable in the equation. Simplify the expressions on both sides of the equation. Determine whether the resulting equation is true. If it is true the number is a solution
Determine the yertices of the triangle whose sides lie on the lines:
x + 3y = 13, x- y =1, and 5x - y =-15
Answer:
4,3,
-2,5
-4,-5
Step-by-step explanation:
I NEED HELP ASAP PLEASE!!! EXPLAIN TOO
(a) Air bounce: 37 < x < 61
Tide pool climb: [tex]x\leq 39[/tex]
(b) look at the uploaded diagram
(c) 37 < x [tex]\leq 39[/tex]
PLEASE HELP ME ANSWER THIS I WILL GIVE BRAINLIEST FOR SMARTEST ANSWER!!!SHOW ALL WORK TOO
The function f(x)=18000(0. 52)x represents the value in dollars of a vehicle x years after it has been purchased new. What is the average rate of change in value per year between years 4 and 8?.
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=18000(0.52)^x \qquad \begin{cases} x_1=4\\ x_2=8 \end{cases}\implies \cfrac{f(8)-f(4)}{8-4} \\\\\\ \cfrac{[18000(0.52)^8]~~ - ~~[18000(0.52)^4]}{4}~~\approx ~~\cfrac{-1219.86}{4}~~ \approx ~~ -304.97[/tex]
notice, the rate is negative, because the car is losing value as the time moves on.
Evaluate. 1. for x=-3 and y=2
-------------
-2 -3 5
2^ x^ y^
X = - 3
Y = 2
2^ x^ y^
=2^ (-3)^ (2)^
= (-6)^(2)
= -12A cone has a height of 11 meters and a radius of 7 meters . What is the volume?
Answer:
V = 564.2 m^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h where r is the radius and h is the height
V = 1/3 pi (7)^2 (11)
V =539 /3 * pi
Letting pi be approximated by 3.14
V = 564.1533333 m^3
Rounding to the nearest tenth
V = 564.2 m^3
Answer:
564.512 m³
Step-by-step explanation:
Formula to find the volume of a cone is :
Volume = [tex]\frac{1}{3}[/tex] π r² h
Here,
r = radius = 7 m
h = height = 11 m
Let us solve now.
Volume = [tex]\frac{1}{3}[/tex] π r² h
Volume = [tex]\frac{1}{3}[/tex] π ×7² × 11
Volume = [tex]\frac{1}{3}[/tex] π × 49 × 11
Volume = [tex]\frac{1}{3}[/tex] π × 539
Volume = [tex]\frac{1}{3}[/tex] × 1693.538
Volume = 564.512 m³
Hope this helps you :-)
Let me know if you have any other questions :-)
1) Solve the inequality -60x > 10.
?
?
Answer:
[tex]\huge\boxed{\bf\:x < -\frac{1}{6} }[/tex]
Step-by-step explanation:
[tex]-60x > 10[/tex]
Let's bring -60 to the left side of the inequality. Then, the inequality sign will also get reversed.
[tex]x < - \frac{10}{60}[/tex]
On simplifying / dividing the inequality by 10 (common factor) ...
[tex]\boxed{\bf\:x < -\frac{1}{6} }[/tex]
[tex]\rule{150}{2}[/tex]
Hello.
This is a one-step inequality, meaning that we can solve it in 1 step.
This step is:
Divide both sides by -60Goal:
Isolate the variable (x)Solution:
-60x>10-x>0.167x<0.167Why was the inequality sign flipped?
When we divide both sides by a negative number, we flip the inequality sign.I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
What is the value of x, rounded to the nearest tenth?
Answer:
x ≈ 31.8
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 12² = 34²
x² + 144 = 1156 ( subtract 144 from both sides )
x² = 1012 ( take square root of both sides )
x = [tex]\sqrt{1012}[/tex] ≈ 31.8 ( to the nearest tenth )
Answer:
20.8
Step-by-step explanation:
[tex]24 = \sqrt{ {12}^{2} + {x}^{2} } [/tex]
[tex] {24}^{2} = 144 + {x}^{2} [/tex]
[tex]576 - 144 = {x}^{2} [/tex]
[tex] {x}^{2} = 432[/tex]
x=20.8
Which expression is the best estimate of 1.25 + (-2.69)?
Answer: 1+(-3)
Because you round the numbers, anything below 5 is rounded to 0 and anything 5 or above is rounded up. like 1.2 is 1, and 5.7 is 6.
Find the value of x
Answer:
17 degrees
Step-by-step explanation:
94 = 60 + 2x
94 - 60 = 2x
34 = 2x
x = 17 degrees
HELPPPPPPPThe police heighten patrols in a certain neighborhood corresponding to Rectangle EFGH,
which has vertices E(7, 7), F(1,5), G(2, 2) and H(8,4). Which is closest to the area of
rectangle EFGH?
Answer:
57.2 units^2
Step-by-step explanation:
The coordinates provided form a parallelogram, not a rectangle. See the attached image for a diagram of EFGH. The area of a parallelogram is given by:
Area = (Base) x (Height)
The attachment explains an approach of using right triangles to find the base and height of the parallelogram.
I'm not confident this was the best approach, so I hope someone would comment if a simpler solution is available.
Choose an equivalent expression. * 8(3+5x)+7x +4
Answer:
28+47x
Step-by-step explanation:
distribute the 8 throughout the 3+5x
this leaves you with
24+40x+7x+4
combine your like terms
28+47x
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth
Answer:
16 cm
Step-by-step explanation:
A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.
Since this is a right triangle, use the pythagorean theorem to find the value for x.
let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.
The pythagorean theorem is: c^2 = a^2 + b^2.
18^2 = 7^2 + x^2324 = 49 +x^2
x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm
What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?
Include your steps, answer and label. (15 points)
2x+3y)^2– 24xy = (2x-3y)^2
Answer:
[tex]\mathrm{True\:for\:all}\:x[/tex]
Step-by-step explanation:
[tex]\left(2x+3y\right)^2-24xy=\left(2x-3y\right)^2[/tex]
[tex]\left(2x+3y\right)^2-24xy[/tex]
[tex]=4x^2+12xy+9y^2-24xy[/tex]
[tex]=9y^2-12xy+4x^2[/tex]
[tex]\left(2x-3y\right)^2[/tex]
[tex]a=2x,\:\:b=3y[/tex]
[tex]=\left(2x\right)^2-2\cdot \:2x\cdot \:3y+\left(3y\right)^2[/tex]
[tex]=4x^2-12xy+9y^2[/tex]
[tex]9y^2-12xy+4x^2=4x^2-12xy+9y^2[/tex]
[tex]\mathrm{Subtract\:}9y^2\mathrm{\:from\:both\:sides}[/tex]
[tex]9y^2-12xy+4x^2-9y^2=4x^2-12xy+9y^2-9y^2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-12xy+4x^2=4x^2-12xy[/tex]
[tex]\mathrm{Subtract\:}4x^2-12xy\mathrm{\:from\:both\:sides}[/tex]
[tex]-12xy+4x^2-\left(4x^2-12xy\right)=4x^2-12xy-\left(4x^2-12xy\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]0=0[/tex]
[tex]\mathrm{Both\:sides\:are\:equal}[/tex]
[tex]\mathrm{True\:for\:all}\:x[/tex]
Perimeter of a rectangular polygon is 4cm.What is the measurement of one side? (Please show working out)
Answer:
1 cm
Step-by-step explanation:
You see, if the polygon is rectangular, it has 4 sides, and if the perimeter is 4cm, 4 divided by 4 is one.
What is the area of this figure?
48 cm
10 cm
7 cm
23 cm
6 cm
23 cm
7 cm
18 cm
square centimeters
Answer:
852 cm²
Step-by-step explanation:
Separate the figure into 3 rectangles by drawing vertical lines from the vertices.
Area of a rectangle = width x length
Total area = (18 x 23) + (23 x (23 - 7)) + (7 x 10)
= 414 + 368 + 70
= 852 cm²
7. Eddie buys 3 apples, 5 bananas, and 7 carrots from the market. What is the ratio of
bananas to carrots?
a. 7 to 5
b. 5 to 7
c. 3 to 7
d. 7 to 3
What is the ratio of bananas to carrots
Answer:
b. 5 to 7
Step-by-step explanation:
just put the amount of the bannanas to carrots
Which one is it? Please help! I need this done by tonight!
Answer:
The answer is 8^4+4. The last one
Avi measures a leaf and finds it is 10.5 centimeters long.
How many millimeters long is the leaf?
1 cm = 10 mm
Answer:
105 millimeters
Step-by-step explanation:
Lisa and complains a lot about her drink being flat infact local restaurant manager can consider banning her for making spurious complaints but then if he wondered if you should put forward for quality control job with the fizzy drinks company . if Lisa says a drink is flat how likely is she to be correct how good is he sad setting whether or not a drink is flat would Lisa be good at the quality controlled job justify your answer
A) The probability of Lisa being correct if she says a drink is flat is; 83.3%
B) The level of Lisa's accuracy in detecting a drink that is flat is; 83.3%
C) The reason why Lisa should be considered for to job is because; she has a high accuracy level and is not just complaining unnecessarily.
How do you interpret the right probability?
From the table showing Lisa's response to the last 100 drinks she bought attached, we see that;
A) When the drink was flat, she complained 5 times out of 6. Thus, if the drink is flat, the probability of her complaint being correct = 5/6 = 83.3%
B) Since she is 83.3% correct in detecting whether a drink is flat, then we can say that Lisa is 83.3% very good at detecting whether a drink is flat.
C) It would be good in recommending Lisa for the quality control job because she only complained 3 times out of 94 times that the drink was not flat while she was correct 5 out of 6 times when the drink was flat. Thus, she has a high accuracy level and is not just complaining unnecessarily.
Read more about complaints at; https://brainly.com/question/10111803
Help please! No links or files (Its worth 30 points)
Answer:
130 i think
Step-by-step explanation:
2(58+7)
58+7+65x2=130
In a random sample of 64 children who received a new antibiotic for an infection 52 of the children had positive results within 12 hours. Find a 95% confidence interval for the proportion of children with infections who will experience positive results within 12 hours when treated with this antibiotic.
Answer:
2•58 ans if you solve prperly
In a recent vote between two nominees, 0.4 of the registered voters chose Candidate A and of the registered voters chose Candidate B. What fraction of the total registered voters participated in the election?
Answer:
A. 13/20
Step-by-step explanation:
Which side is triangles show reflective sides?
Answer:
the answer is for that question is b
In ΔRST, ∠R = 85° and ∠S = 52°. Find ∠T.
Answer:
43°
Step-by-step explanation:
A triangle has a total angle of 180° and we can use it to find the answer.
The attachment is a visualization of the triangle.
In order to find angle T, we can use the triangle formula to find t.
[tex] {180}^{o} = r + s + t[/tex]
By substituting r and s, we will get
[tex] {180}^{o} = {85}^{o} + {52}^{o} + t[/tex]
Hence, we can find T, which is
[tex]t = {180}^{o} - {85}^{o} - {52}^{o} = {43}^{o} [/tex]