Answer:
a) 4,913
b) 10
Step-by-step explanation:
a) [2(3 + 4) + 3]³
= [2(7) + 3]³
= (14 + 3)³
= 17³
= 4913
b) 5 + (3² - 2²)
= 5 + (9 - 4)
= 5 + 5
= 10
Anybody Know? It’s just a SOLVE FOR X
Answer:
Hello! answer: 10
Step-by-step explanation:
x = 10 because...
10 × 3 = 30 30 + 5 = 35 35 + 55 + 90 = 180 therefore x = 10 hope that helps!
Lin and Claire each threw a rock into a stream. The black graph represents the height of a stone t seconds after it was tossed up by Lin and the purple graph represents the height of a stone t seconds after it was tossed up by Claire.
1) Whose stone hit the water second, and at what time?
2) How long did it take for Claire's rock to reach its maximum? What is the maximum height?
3) Who had the higher initial height? What was it?
Uh oh, looks like you need the graph to answer this question! If you post the graph then I can answer in numbers but for now, I'll try to explain:
1) I assume the graph looks like a dome shape, so based on that, where the line comes back down and hits the bottom line on which x value is larger will be whose stone hit the water second and what time will be what x value represents the time it hit the water.
2) look at the highest value on the purple graph and that is the maximum height (the y value of that point) and the x value of that highest point will be the time it took for the stone to reach its maximum height.
3) based on this question, the graph should start not on the 0 but at a point on the y axis, so whoever's starting y value is higher will be this answer and what that is will be the number answer to the what was it part.
Hope this helps and if you post the graph then I can do more! :)
I would greatly appreciate if you could solve this 4 me. Thank you!
Answer:
Look at the image.
Step-by-step explanation:
Please help me find the answer
A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?
Use - 3.14 and round your answer to the nearest hundredth.
Answer:
18312.5mm³
Step-by-step explanation:
Given parameters:
Height of cylinder = 18mm
radius = 18mm
Unknown:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
Insert the given parameters and solve;
Volume = 3.14 x 18² x 18
Volume = 18312.5mm³
Answer:
282.6
Step-by-step explanation:
volume= h*(pie*r^2)
3*3=9
9*pie=28.26
10*28.6=282.6
Il
11
1-42
Find the absolute value for |-43|
-1
0
43
-43
An absolute value is always a positive value
The absolute value for |-43| would be 43
please help with this question i will mark you brainliest!
9514 1404 393
Answer:
equation: y = 4x
graph is attached
Step-by-step explanation:
Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...
cost = (cost per pound) × (pounds)
y = 4x
__
This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.
14. Which makes the number sentence true?
12 - 3= 7+_
Q11. A car uses 25 litres of petrol to travel 176 miles. How far can the car travel using 44 litres
?
[2]
Duration and how far can the car travel using
of petrol? O!!
Step-by-step explanation:
you would do 25 / 25 and 176 / 25 and you would get 1 petrol and 7.04 miles
then 1 times 44 and 7.04 times 44 and that would be 44 petrol and 309.76 miles
Please Help! 100 Points to whoever does!
Answer:
cross multiply
(3+2) 10^3==
5*10^3
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answer:
Step-by-step explanation:
A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a city 38 miles north of the transmitter to a second city 36 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter? Hint: assume that the transmitter is at the origin. Write the equations of the line and circle.
9514 1404 393
Answer:
63.7% or 33.35 miles
Step-by-step explanation:
The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.
The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...
y/38 +x/36 = 1
19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount
Then the distance from the origin to the line is ...
d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243
The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:
x² + (26.1243)² = 31²
x² = 31² -(684/√685)² = 190429/685
x ≈ 16.6733
The driving distance for which the transmitter is picked up is twice this, so is ...
2x = 2(16.6733) ≈ 33.3466 . . . miles
The total drive length is also given by the Pythagorean theorem:
drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles
Then the fraction of the drive during which the signal is picked up is ...
fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%
__
The signal is picked up for 33.35 miles, about 63.7% of the drive.
______
The intercept-form equation for a line is ...
x/(x-intercept) +y/(y-intercept) = 1
The distance from (x, y) to line ax+by+c=0 is given by ...
d = |ax+by+c|/√(a²+b²)
The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:
c² = a² +b²
The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams
Answer:
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 90 grams and a standard deviation of 2 grams.
This means that [tex]\mu = 90, \sigma = 2[/tex]
What percentage of the grasshoppers weigh between 86 grams and 94 grams?
The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So
X = 94
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{94 - 90}{2}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772.
X = 86
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{86 - 90}{2}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.9772 - 0.0228 = 0.9544
0.9544*100% = 95.44%
95.44% of the grasshoppers weigh between 86 grams and 94 grams.
What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
Answer:
the answer is c y=2x-2
Step-by-step explanation:
:)
An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips. a. State the hypotheses that can be used to test the assumption. H 0: p Select H a: p Select b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?
Answer:
a) The null hypothesis is [tex]H_0: p \leq \frac{2}{3}[/tex] and the alternate hypothesis is [tex]H_1: p > \frac{2}{3}[/tex].
b) The sample proportion is 0.6710.
Step-by-step explanation:
Question a:
An airline promotion to business travelers is based on the assumption that no more than two-thirds of business travelers use a laptop computer on overnight business trips.
At the null hypothesis, we test if the proportion is two-thirds or less, that is:
[tex]H_0: p \leq \frac{2}{3}[/tex]
At the alternate hypothesis, we test if the proportion is of more than two-thirds, that is:
[tex]H_1: p > \frac{2}{3}[/tex]
b. What is the sample proportion from an American Express-sponsored survey that found 359 of 535 business travelers use a laptop computer on overnight business trips (to 4 decimals)?
359 out of 535 is 359/535 = 0.6710.
The sample proportion is 0.6710.
Does anyone understand this?
Answer: understand what
Step-by-step explanation:
Answer:
where qurstion
Step-by-step explanation:
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25 POINTS NEED HELP QUICKLY:
Choose the system of inequalities that best matches the graph below.
A.
B.
C.
D.
Answer: D y>2x-1
y<1/3x+1
Step-by-step explanation: I took the test and got it right
The points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities D y>2x-1 and y<1/3x+1 which is correct options (D).
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given the system of inequalities as
y>2x-1 and y<1/3x+1.
To determine the solutions, you first have to graph both of the lines in the problem.
y = 2x-1 and y = 1/3x+1. Then, to shift them to inequality, you have to shade the half-plane that they represent.
The solution is the space that they have in common. In this case, it will be on the right side of the graph.
The points (0, 0) and (6/5, 7/5) are included in the shaded region they have in common.
Hence, the points (0, 0) and (6/5, 7/5) are solutions to the system of inequalities y>2x-1 and y<1/3x+1.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
There is a population of millions of computer chips produced at a factory. The production process is so precious that it is known that the population standard deviation for their mass is 2 milligrams. We want to get a 95% confidence interval for the mass of a single microchip produced here. So we randomly sample 100 microchips. The sample average mass turns out to be 1972 milligrams. They found this by placing them all on a scale at once and finding a mass of 197.2 grams, and then dividing by 100. You don't think they would actually weigh each one individually, do you? That would be super annoying.
Required:
Find a 95% confidence interval for the mass of a microchip produced at this factory.
Answer:
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{2}{\sqrt{100}} = 0.392[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 1972 - 0.392 = 1971.608 milligrams
The upper end of the interval is the sample mean added to M. So it is 1972 + 0.392 = 1972.392 milligrams
The 95% confidence interval for the mass of a microchip produced at this factory is between 1971.608 milligrams and 1972.392 milligrams.
(3x2+2−x3)−(−5x3+2x2+1)
Express the answer in standard form.
Enter your answer in the box.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
ax²+bx+c
Simplify each term.
3x²+2−x³+5x³−2x²−1
Simplify by adding terms.
4x³+x²+1
Step-by-step explanation:
A- x=-2
B- y=4
C- y=1
D- x=1
Answer:
Your correct answer is C. y = 1
Hoped this helped!
briniliest, pls?
Harvey is often late for work. He leaves home late 60% of the time, but then drives very fast. This gives him a 50% chance of getting to work on time. When Harvey leaves home on time, he drives so slowly that he is late 70% of the time. What is the probability that Harvey left home on time if he gets to work on time
Answer:
40%
Step-by-step explanation:
what should be added to -13/25+21/5+-21/18 to get 5?
ATQ,
= [tex] \dfrac{ - 13}{25} + \dfrac{21}{5} + \frac{ - 21}{18} + x = 5[/tex]
Take the lcm of 25,5,18 and then manipulate it accordingly.= [tex] \dfrac{ 377}{150} + x = 5[/tex]
= [tex] x = 5 - \dfrac{ 377}{150}[/tex]
= [tex] x = \dfrac{ 373}{150}[/tex]
Answer
=727/150
Step-by-step explanation:
-13/25 + 21/18 + 21/18
= -13 + 105/25 + 21/18
= 92/25 + 21/18
= 1656 + 525/450
= 2181/450 = 727/150
Have nice day
I need to know this question asap
Answer:
.
Step-by-step explanation:
1. Points scored by a basketball player are 12, 15, 8, 12, 15, 10, 3, 14, and 15
Calculate the:
a) mean
b) median
c) mode
d) midrange
e) Use the relative location of the mean, median, and mode calculated describe the sets as
symmetric, skewed left, or skewed right.
Answer:
mean : add all of them and divide by how much they are
mode: is what repeats it self like 15 is the most repeated.
jucinta has two blue marbles 4 red marbles and five green marbles in the bag of the marbles are the same size she will select one marble from the bag without looking what is the probability that Justina will select green marble write your answer as a fraction
Answer:
2+4+5 = 11. since there are 5 green marbles the answer is 5/11
What is 12n+36m+60= pls answer
Answer:
you can't do that because they are different variables, so there are no like terms
Step-by-step explanation:
there is no answer for this equation
Answer:
Step-by-step explanation:
12n+36m+60=0
12n+36m=-69
12(n+3m)=-69
n+3m=-69/12
Find the sum of the series if n = 6, r = 1/4, a = 2.
Answer:
8.25
[tex]8\frac{1}{4}[/tex]
Step-by-step explanation:
n + r + a
6 + 0.25 + 2
8 + 0.25
8.25
Looking in her food pantry, Professor Martinez finds a package of 12 flavored water bottles. The package contains 5 strawberry flavored water bottles and 7 mango flavored water bottles, each without labeling. All the bottles look alike and have equal probability of being chosen. Three bottles are randomly selected without replacing them.
a. The probability that all (exactly three) bottles are strawberry flavored is: _______
b. The probability that at least one of the three bottles are strawberry flavored is: _________
c. The probability that exactly 2 bottles are strawberry flavored is: _________
Answer:
a) 12/24 * 11/24*10/24
b) 1 - 12/24 * 11/24*10/24
c) 12/24 * 11/24 *12/24
Step-by-step explanation:
Total number of bottles = 12 + 5+7 = 24
a. The probability that all (exactly three) bottles are strawberry flavored is: 212
12/24 * 11/24*10/24
b. The probability that at least one of the three bottles are strawberry flavored is:
1 - P (no strawberry bottle)
1 - (12/24*11/24*10/24)
c. The probability that exactly 2
12/24 * 11/24 *12/24
Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?
Answer:
si se tirs undado you need to
slope= -1/2, y-intercept = 4
Answer:
y=-1/2x+4
Step-by-step explanation:
y=mx+b
where m=slope and b=y-intercept
so
y=-1/2x+4