Answer: P (T< 685) ≈ 0.31
Step-by-step explanation:
3. A box contains 7 Green balls, 5 Red balls, and 3 Blue balls. A ball is randomly selected and its color is noted. Then it is replaced into the same box A second ball is selected randomly and its color is noted. Find the probability of each of these questions: a Selecting 1 Blue ball and 1 Green ball. b. Selecting 1 Red ball and 1 blue ball
Answer:
a. 7/45
b. 1/15
Step-by-step explanation:
15 total balls
a. Selecting 1 Blue ball and 1 Green ball
3/15 * 7/15 = 21/225 = 7/45
b. Selecting 1 Red ball and 1 blue ball
5/15 * 3/15 = 15/225 = 1/15
Sketch the angle in standard position and draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle and closer to the given angle than any other coterminal angle. Give the quadrant of the angle, if applicable. -90°
The measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively.
Given that angle is - 90°.
For the coterminal angles that are closer to -90° than any other coterminal angle, consider angles that have the same initial and terminal sides as -90°.
Since -90° is in the fourth quadrant, look for angles that also fall in the fourth quadrant.
One positive coterminal angle in the fourth quadrant would be 270°.
This angle is closer to -90° than any other coterminal angle in the fourth quadrant.
One negative coterminal angle in the fourth quadrant would be -450°.
This angle is also closer to -90° than any other coterminal angle in the fourth quadrant.
So, the measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively, both in the fourth quadrant.
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6 × 4/6 = 24 × 1/6
True
False
Answer:
True
Step-by-step explanation:
6 * 4/6 = 24 /6 = 24 * 1/6 = 4
This is a true statement
A cyclist rides his bike at a rate of 30 kilometers per hour. What is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:4.8
Step-by-step explanation:
30/3 x 1.6
One of the legs of a right triangle measures 5 cm and the other leg measures 6 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
Measure of Hypotenuse is 7.8 cm.
Step-by-step explanation:
Since the triangle is a right angle, the formula we would use is [tex]a^2 + b^2 = c^2[/tex].
We are looking for the hypotenuse that would be c.
[tex]a^2 + b^2 = c^2[/tex]
[tex]5^2 + 6^2 = c^2[/tex]
[tex]25 + 36 = c^2[/tex]
[tex]61 = c^2[/tex]
[tex]\sqrt{61} = \sqrt{c^2}[/tex]
7.8102 = c
c = 7.8 cm
15% 40% as whole numbers
Answer: Not possible
Step-by-step explanation: A whole number is an integer or a number without fractions. Both 15% and 40% are less than 1 since they are less than 100%; therefore, it is impossible to express them as whole numbers. They can only be expressed as the mixed numbers of 0.15 and 0.4, or 15/100 and 40/100.
Discovery of Trigonometry: #28 What is the length of CA? *
Answer:
sqrt(3)
Step-by-step explanation:
Each side (donated by small letter ) is opposite to its angle for example :
Side c is opposite to angle C which is 90
side b is opposite to angle B which is 60
hey guys it’s my final! mind helping? 30 points! will mark the brainiest
Compute the probability of X successes, using the binomial formula. (a) n = 5, X = 2, p = 0.025 (b) n = 12, X = 6, p = 0.45 (c) n= 6, X = 0,9 = 0.35 (d) n = 45, X = 10, p = 0.25 (e) n = 22, X = 20, p = 0.68
Answer:a) 10. have +05 x 2 P= 0.025 p(x - 2) (B) - (-2)-2 (5) 5-2 (0 •025) ( 1 - 0 025) 3 0 • 00 57 9287 n - 2 . x - -6 m-6 b) we have p= 0 45 p(x = 6) = (P)...
Step-by-step explanation:
almost how many cubes of length 5 cm can be contained in a cuboid of length 20cm, breadth 10 cm,and height 5 cm?find it.
Answer:
volume of a cube=5³cm³
=125 cm³
volume of the cuboid=20×10×5
=1000 cm³
number of cubes=1000/125
=8 cubes
Which exponential function has an x-intercept?
A.
f(x) = 100x−5 − 1
B.
f(x) = 3x−4 + 2
C.
f(x) = 7x−1 + 1
D.
f(x) = -8x+1 − 3
Answer:
therefore f(x)=100x-5-1 has an x-intercept
PQ is formed by endpoints P (3, -1) and Q (1, -6). Dilate PQ about the origin by the scale factor - }. What
are the points of the image P'Q'?
Pls help will mark brainlist
Explanation:
Multiply each coordinate, of each point, by the scale factor -1/3. That means for instance x = 3 becomes x = -1, when going from P to P'. Doing this will shrink the image, and there's also a reflection going on due to the negative scale factor.
3 increased by a
number times 2
Graph the inequality.
y> -3x²-30x-68
(Will mark brainliest)
Answer:
See below
Step-by-step explanation:
Because it's an inequality, the upside-down parabola has dashed lines instead of a sold line. Additionally, only one side of that parabola will contain the solution set, which we can easily figure out by testing a point like (0,0):
[tex]0\stackrel{?}{ > }-3(0)^2-30(0)-48\\0\stackrel{?}{ > }-48\\\\0 > -48 \text{ is true}[/tex]
Hence, the side that contains (0,0) gets shaded. See the graph below.
Solve each equation if [tex]f (x) = 2x^{2} - 2[/tex] and [tex]g(x) = 6x + 3[/tex]
S= pi^2(b^2-a^2)
b=8
a=10
work out the value of S and give the answer to 3 significant figure
Answer:
S = pi^2 * (8^2 - 10^2)
= pi^2 * (-4)
= -12.57 pi^2
The value of S is approximately -12.57 * pi^2. To express this value to three significant figures, we would round it to -13 * pi^2, which is the same as -12.6 * pi^2. So the final answer is -12.6 * pi^2.
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A town has 1.500 households. The number of people per
household is normally distributed with a mean of 3.67 and
a standard deviation of .34.
Approximately, how many
households have between 3.67 and 4.35 people?
0 510 households
o 945 households
a 715 households
o 660 households
Answer: The question is asking for the number of households that have between 3.67 and 4.35 people, which corresponds to the number of households whose number of people per household falls within one standard deviation of the mean.
A normal distribution is symmetric, so approximately 68% of the data falls within one standard deviation of the mean. So, we can estimate that approximately 68% of the 1,500 households have between 3.67 and 4.35 people.
The calculation is:
1,500 households x 68% = 1,020 households
So, approximately 1,020 households have between 3.67 and 4.35 people.
This is a rough estimate and the actual number may be slightly different, but it can be considered as a good approximation. From the given options, The answer closest to 1,020 is 945 households.
Step-by-step explanation:
carmela translates f (x) = x2 to create p (x). If p 9 (x) = f (x+3) -10 sketch the graph
The function p(x) = (x + 3)² is transformed 3 units left along the x-axis.
What are some rules of function transformations?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over the y-axis, (-x, y).
-f(x) = Reflection over the x-axis, (x, -y).
Given, A function f(x) = x².
Now, p(x) = f(x + 3).
p(x) = (x + 3)² and it is a transformed function to the parent function f(x).
Now, The function p(x) = (x + 3)² is transformed 3 units to the left along the x-axis.
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3/4 divided by 3/7 in simplest form
Answer:
7/
Step-by-step explanation:
3/4 * 7/
3 can be crossed
Leaving 7/
Write complex number in standard form.
Answer:
it's B
[tex] - \frac{9}{4} + 2i = - \frac{9}{4} - 4i[/tex]
Answer:
C
Step-by-step explanation:
please refer to the sketch
Identify the domain and range of the following relation.
x y
-2 -4
1 3
0 0
1 4
4 6
-1 -2
Answer:
domain = - 2, 1, 0, 1, 4, - 1
range = - 4, 3, 0, 4, 6, - 2
Step-by-step explanation:
x is domain
y is range
is x+3=-5y in standard form?
Answer:
Nope
Step-by-step explanation:
Standard form for a linear equation in two variables is [tex]Ax+By=C[/tex] with the terms containing x and y on the left side of the equation and a number on the right side.
[tex]x+3=-5y[/tex]
Subtract 3 from both sides.
[tex]x=-5y-3[/tex]
Add 5y.
[tex]x+5y=-3[/tex]
Write a formula for the function g(x) obtained when the graph of f(x) = 1/x is shifted down 4 units and to the right 6 units .
Please help !!!!
*NO LINKS*
Answer: [tex]g(x) = \frac{1}{x-6} - 4[/tex]
This can be written out as g(x) = 1/(x-6) - 4
The "x-6" is in the denominator, while the "-4" is not.
=============================================================
Explanation:
We'll start with the parent function [tex]f(x) = \frac{1}{x}[/tex]
When we shift 4 units down, we're subtracting 4 from the y coordinate of each point on the curve. Which is the same as subtracting 4 from f(x) because y = f(x).
So we have [tex]h(x) = f(x) - 4 = \frac{1}{x} - 4[/tex] as an intermediate step.
Then to shift 6 units to the right, we'll replace every x with "x-6". Imagine we kept the h(x) curve completely still, and instead we moved the xy axis 6 units to the left. This would give the illusion of h(x) moving 6 units to the right if we made the xy axis stay still. So that's why we go for "x-6" instead of "x+6".
Therefore, we end up with [tex]g(x) = \frac{1}{x-6} - 4[/tex]
Side note: plugging in x = 6 leads to a division by zero error. This would mean x = 6 is not in the domain.
7. Write the standard form of the
the foci.
equation of the ellipse shown in the following graph. Identify
On solving the provided question we cans ay that - equation of ellipse is given by (x2/a2) + (y2/b2) = 1.
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
distance of the focus from the centre of the ellipse is given by the equation c = √(a2 – b2).
equation of ellipse is given by (x2/a2) + (y2/b2) = 1.
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Easy Question: Correct = brainliest:
How many 2 digit numbers are multiples of 2 but not 4?
Answer:
23 I thinkkkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
ehhhhh
Answer:
46
Step-by-step explanation:
Since we are finding multiples of 2, but avoiding multiples of 4, we need to skip 4 from every 2 digit multiple starting from 10 (10, 14, 18, 22, so on...). BUT. I'm not finished yet. The answer is NOT 23. Why? Well, you forgot about the negative 2-digit multiples.
Do the same (Skip NEGATIVE 4 from every 2 digit multiple, but starting from -10, -10, -14, so on...)
Doing this, I found:
46 multiples of 2, but not 4
Multiples:
10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, -98, -94, -90, -86, -82, -78, -74, -70, -66, -62, -58, -54, -50, -46, -42, -38, -34, -30, -26, -22, -18, -14, -10
The radius of a cylinder is 7 in and the height is 24 in.
Find the Lateral Area.
36011
117611
43411
33611
Lateral Area of a Cylinder=2πrh
= 2 x π x 7 x 24
=336π
Option D
Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear
regression equation for the data to be y= 9.6x + 65.8. What does the 65.8 mean in the context of this equation?
es ))
A)
If they studied 0 hours they would earn a 65.8.
B)
The lowest grade of his five friends was a 65.8.
The lowest grade they could receive on the test was a 65.8.
D)
For every hour they studied their grade would go up 65.8 points
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3gVQKw3
The circle graph shows how a family budgets its annual income. If the total annual income is $100,000, what amount is budgeted for Clothing? Savings 6% Insurance 11% Auto 14% Clothing 15% Food 18% Leisure 13% Housing 23%
Answer:
Step-by-step explanation:
125,000 x 16% = $20,000
(23%) 28,750 + (8%) 10,000 + (9%) 11,250 + (12%) 15,000 + (16%) 20,000 + (19%) 23,750 + (13%) 16,250 = $125,000
Answer:
15000
Step-by-step explanation:
15/100×100000
=$15000
SAT scores are normally distributed and in the state of Ohio in 2017, the mean was 1149 with a standard deviation of 212. To get accepted into Yale, you need an SAT of 1460 or an ACT of 33. Which is your best option to get admitted to Yale?
Question 5 options:
1.You should take the ACT because it has a higher z-score
2.You should take the SAT because it takes a lower z-score to get in.
3.Each test has the same z-score value, so you can take either one
4.You should take the SAT because it has a higher z-score
5.You should take the ACT because it takes a lower z-score to get in.
Answer:
The correct option depends on the ACT z-score. If it's higher than 1.47 the best option is the ACT while if it's lower the best option is the SAT.
Step-by-step explanation:
Z-score:
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.
In this question:
Whichever test has the higher z-score should be taken.
SAT scores are normally distributed and in the state of Ohio in 2017, the mean was 1149 with a standard deviation of 212. To get accepted into Yale, you need an SAT of 1460.
This means that [tex]X = 1460, \mu = 1149, \sigma = 212[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1460 - 1149}{212}[/tex]
[tex]Z = 1.47[/tex]
Z-score for the ACT:
We don't have the mean.
But the correct option depends on the ACT z-score. If it's higher than 1.47 the best option is the ACT while if it's lower the best option is the SAT.
Check
Annie is comparing the cost to ship a package. One shipping
pound a package weighs. Another shipping company charges $5 for
company charges $7 for the first pound and $0.20 for each additional
the first pound and $0.30 for each additional pound.
Part A
Which equation could be used to determine p, the number of
when the costs for the two shipping companies are the same?
7+0.20p = 5 +0.30p
7+20p = 5 + 30p
A7+0.30p=5+0.20p
B0.20+7p = 0.30 + 5p
Part B
Show
pounds,
For how many pounds is the cost of the two shipping companies the
same?
Part A: The equation could be used to determine p is B0.20+7p = 0.30 + 5p Part B: Two shipping companies is the same for 25 pounds. Company 1 = $7 + (25 - 1) x $0.20 = $11.80 Company 2 = $5 + (25 - 1) x $0.30 = $11.80.
How to find pounds is the cost of the two shipping companies?The cost of shipping through two different companies will depend on a variety of factors.
These factors may include the weight and size of the package, the distance it needs to travel, the speed of delivery, and any additional services requested.
Additionally, the cost of shipping may also depend on the type of shipping service used (e.g. ground, air, or express).
To find out the cost of shipping through two different companies, it is best to contact each company directly. This can usually be done by phone, email, or through their website.
Each company will be able to provide a quote based on the package’s specifications. It is then possible to compare the cost of the two shipping companies and determine whether or not the cost is the same.
It is important to note that companies may offer discounts or other incentives for shipping with them.
Therefore, it is important to pay attention to any additional fees or discounts that may apply in order to get the best deal.
Comparing the cost of two different shipping companies can help to ensure that the most cost-effective option is chosen.
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