Sam made a 70% on his test. If there were 80 questions on the test, how many did he get right?

Answer:

h>20

Step-by-step explanation:

I'm not sure though

The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

Know more about graphs here: https://brainly.com/question/17267403

#SPJ4

Answer:

C. inconsistent

Step-by-step explanation:

3x - y = 5                      6x = 2y + 5         Solve for y

3x - 5 =  y                      6x - 5 = 2y

3x - 5 = y                       \(\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}\)

3x - 5 = y                       3x - 2.5 = y

Slope = 3                       Slope = 3                    Same slope

y-intercept: -5                 y-intercept: 2.5         Different intercepts

                                                                           not solution set

Answer:

14

Step-by-step explanation:

\(4 \times (4 - .4) -. 4\)

The discount was 17 dollars and 87 cents.

What is a discount?

A discount is a reduction in the price of a product or service. It can be offered for a variety of reasons, such as to encourage sales or to reward loyal customers.

We have,

price of pair of sunglasses for $66,

coupon code discount of 30%,

15% processing fee to the price.

The final price is:

$66 * (1 - 30%) * (1 + 15%)

$66 * 0.7 * 1.15

$53.13

So, the actual discount is,

$(71 - 53.13)

= $17.87

Hence, the discount was 17 dollars and 87 cents.

To learn more about the discount visit,

https://brainly.com/question/30133422

#SPJ1

Condition of the event on tails on the first flip, the new sample space is

p + [(I1 - P) / (2 - P)] * (1 - p) = 1 / (2 - p)

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Utilize complete probability to solve the issue. E is the first head on an odd toss in the event. the sample area was divided into two cases. The first throw is either heads H₁ or tails T₁. Note that the subscript denotes the first toss.

[E] = [H₁] ∪ {E∩T₁} ⇒ (The first throw is indicated by the subscript.)

P (odd number of tosses until first H) = P(H₁) + P(E|T₁) P(T₁)

P (ET₁) = (1 - p) p + + (1 - p)³ p + (1 - p)⁵ p+ ...

= p (1 - p) [1 + (1 - p)² + (1 - p)⁴ +...]

= p(1 - p) [1 / 1 - (1 - p)²]

= (1 - P) / (2 - P)

P (odd number of tosses until 1st H) = p + [(I1 - P) / (2 - P)] * (1 - p) = 1 / (2 - p)

To know more about Probability, refer to this link:

https://brainly.com/question/12629667

#SPJ4

COMPLETE QUESTION:

Solve the problem using total probability. Event E is the 'first head on an odd toss'. Cut the sample space into two cases: the first toss is heads H₁ or the first toss is tails T₁. N.B.: The subscript indicates the first toss.

{E} = {H₁} ∪ {E∩T₁}

Hints: Apply conditional probability

P(A∩B)=P(A)P(B∣A)

and model the sample space. H Cut the sample space into two mutually exclusive events. TH TTH TTTH TTTTH TTTTTH TTTTTTH and so forth ad infinitum. The first outcome in the sample space, H, is one of the desired outcomes. All the rest of the outcomes share the same feature of tails on the first toss. Notice in this subset that the desired outcomes are alternate outcomes. When you condition the event E on tails on the first flip T₁

​what is the new sample space? What is the complement of the event E? Finally, how is P(E∣T₁) and 1 − P(E) related? Write your solution with the relevant steps.

Answer:

The consecutive odd integers are 83, 85, 87 and 89.

Step-by-step explanation:

x + (x + 2) + (x + 4) + (x + 6) = 344

4x + 12 = 344

4x = 344 - 12

4x = 332

x = 332/4

x = 83

x + 2 = 85

x + 4 = 87

x + 6 = 89

Hope this helps

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

learn more about first dark fringe click here:

https://brainly.com/question/27548790

#SPJ11

Answer:

-8

Step-by-step explanation:

The equation that can be used to determine the time for each leg is D. 600t = 480(18 – t)

Speed on going ,= 600 miles per hour.

Speed on return = 480 miles per hour

Time on returning = 18 - t

Distance = Speed × Time

Distance = 480(18 - t)

The equation that can be used to determine the time for each leg will be:

600t = 480(18 – t)

Learn more about equations on:

brainly.com/question/2928934

#SPJ1

Answer:

the answer is D

Step-by-step explanation:

Answer:

\(f(\pi / 2) = 1\)

Step-by-step explanation:

To find the exact output of a function f(x) = sin²x given the input π/2, we can look to the unit circle. Remember that sin²x is an abbreviation for (sin(x))².

We can represent the output of the function for the input π/2 as:

\(f(\pi / 2) = (\sin(\pi / 2))^2\)

First, we need to find the exact value of sin(π/2). We can find this by graphing \(\theta = \pi/2\), finding its intersection with the circumference of the unit circle, then taking the y-coordinate of the point of intersection.

This y-coordinate is 1.

Therefore,

\(f(\pi / 2) = (1)^2\)

\(\boxed{f(\pi / 2) = 1}\)

The resulting matrix of b - 2f is matrix(3,4,([0,10,-14,9,-2,0,16,11,-15,-9,-21,-9])).

To find the matrix resulting from b - 2f, we need to first find the matrix resulting from multiplying f by 2. This can be done by multiplying each element of f by 2.

f * 2 = matrix(3,4,([-2,-10,16,-6,-6,-10,-14,-6,18,18,12,14]

Next, we can subtract this matrix from b.

b - 2f = matrix(3,4,([-2,0,2,3,-8,-10,2,5,3,9,-9,5]) - matrix(3,4,([-2,-10,16,-6,-6,-10,-14,-6,18,18,12,14]))

= matrix(3,4,([0,10,-14,9,-2,0,16,11,-15,-9,-21,-9]))

Therefore, the resulting matrix of b - 2f is matrix(3,4,([0,10,-14,9,-2,0,16,11,-15,-9,-21,-9])).

To learn more about Matrix :

https://brainly.com/question/1279486

#SPJ11

In order to solve this quadratic equation by completing the square, let's analyse the coefficient b by comparing the equation with the standard form:

We have b = -12. In order to be a perfect square, the coefficient c needs to be (-12/2)^2 = (-6)^2 = 36

We already have 30, so we just need to add 6:

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

Answer:

107

Step-by-step explanation:

The formula for Area is Length x width. Take the first shape and multiply 7x5 which equals 35.

Then do the same thing for the second shape 8x9=72

Now add

35+72=107!! Hope this helped

To find the height after the third bounce, we need to evaluate the function f(x) = 9 * (0.2) ^ x * m * o at x = 3.

The given function represents a general formula for calculating the height after each bounce, but without knowing the specific values of m and o, we cannot calculate the height accurately.

The function f(x) = 9 * (0.2) ^ x * m * o implies that the height decreases with each bounce due to the decreasing exponent of 0.2. However, the specific values of m and o would determine the initial height of the ball and the rate at which it decreases.

Learn more about functions here: brainly.com/question/31062578
#SPJ11

Answer: The answer is "Maya factored correctly, but did not find the correct GCF."

Step-by-step explanation:

I just took the quiz on Edgenunity.

Answer:

Answer: Mya factored correctly, but did not find the correct GCF.

Step-by-step explanation:

The total profit when a well 50 feet deep is drilled is approximately $1164.10, rounded to two decimal places.

The total profit for drilling a well that is 50 feet deep need to integrate the marginal profit function P'(x) with respect to x from 0 to 50.

This gives us the total profit function P(x):

P(x) = ∫ P'(x) dx from 0 to 50

Substituting P'(x) = \(4 \times x^{(1/3)\) into the integral we get:

P(x) = \(\int 4 \times x^{(1/3)\) dx from 0 to 50

Integrating with respect to x get:

P(x) = 4/4 * 3/4 * x^(4/3) + C

C is the constant of integration.

The value of C we need to use the given information that the marginal profit is zero when the well is 0 feet deep.

This means that the total profit is also zero when the well is 0 feet deep.

P(0) = 0

= \(4/4 \times 3/4 \times 0^{(4/3)} + C\)

C = 0

So the total profit function is:

P(x) = \(3x^{(4/3)\)

The profit when a well 50 feet deep is drilled is:

P(50) = \(3 \times 50^{(4/3)\) dollars

Using a calculator to evaluate this expression, we get:

P(50) = \(3 \times 50^{(4/3)\)

≈ $1164.10

For similar questions on profit

https://brainly.com/question/26483369

#SPJ11

The sequence \(a_n=\frac{n^2}{n^3+5n}\) diverges.

For given question,

We have been given a sequence \(a_n=\frac{n^2}{n^3+5n}\)

We need to determine whether the sequence converges or diverges.

From given sequence we have, \(a_{n+1}=\frac{(n+1)^2}{(n+1)^3+5(n+1)}\)

We use Ratio Test.

According to Ratio Test, \(r=\frac{a_{n+1}}{a_n}\), where sequence converges if and only if |r| < 1.

Consider,

\(\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\\\\= \lim_{n \to \infty} |\frac{\frac{(n+1)^2}{(n+1)^3+5(n+1)}}{\frac{n^2}{n^3+5n}} |\\\\\\= \lim_{n \to \infty} |\frac{(n+1)^2(n^3+5n)}{n^2[(n+1)^3+5(n+1)]} |\\\\=\infty\)

Since \(\lim_{n \to \infty} |\frac{a_{n+1}}{a_n} |\) is not defined, the sequence \(a_n=\frac{n^2}{n^3+5n}\) diverges.

Therefore, the sequence \(a_n=\frac{n^2}{n^3+5n}\) diverges.

Learn more about the sequence here:

https://brainly.com/question/17175513

#SPJ4

i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!

you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.

The mentioned number in word form is three hundred ten, seven hundred sixty three, one hundred thirty six.

The arithmetic value of a number is one that is used to denote quantity. As a result, a number is a mathematical concept used for counting, measuring, and labeling. As a result, mathematics is based on numbers.

Early humans used a variety of symbols to represent numbers, as evidenced by the inscriptions discovered at archaeological sites. For instance, farmers, traders, and merchants in antiquity used tally marks to indicate quantities. A standing line is drawn for each count in tally marks, and the fifth count is indicated by crossing out the first four lines. However, this was a laborious method and it was impractical to display quantities.

Learn more about numbers

https://brainly.com/question/640813

#SPJ9

Answer:

The answer is 14.525

Step-by-step explanation:

10. 347

+ 4. 178

_________

14 . 525

Thus, the answer is 14.525.

The variance is 1.6 and the standard deviation is 1.265 when the  binomial experiment probability p n=10, p=0.2

According to the binomial theorem, the expression of the nth power of the sum of any two numbers, a and b, can be written as the sum of the n+1 terms of the specific form for every given positive integer n. The method of algebraically increasing the power of sums of two or more binomials is known as the binomial theorem. Binomial coefficients are the coefficients of binomial terms in the expansion process.

Given:

n = 10

p = 0.2

The binomial distribution is

P(X = k) = nCx (p)x * (1 - p)n - x

P(x = 1) = 10C1 * (0.2)1 * (1 - 0.2) 10 - 1

= 10 * 0.2 * 0.89

= 10 * 0.2 * 0.134    = 0.268

P(x = 2) = 10C2 * (0.2)2 * (1 - 0.2) 10 - 2

= 45 * 0.04 * 0.88

= 45 * 0.04 * 0.168   = 0.302

P(2 or fewer) = P(x = 0) + P(x = 1) + P( x= 2)

= 0.107 + 0.268 + 0.302          

= 0.667

b) Find the mean.

The binomial distribution is

                   X ~ B(10,0.2)

E(X) = n * p

= 10 * 0.2       = 2

  The mean is 2.

c)Find the variance and standard deviation.

v(X) = n*p*(1 - q)

       = 10 * 0.2 * 0.8

       = 1.6

S.D(X) = sqrt(n * p * (1 - q))

           = sqrt(1.6)

           = 1.265

The variance is 1.6. The standard deviation is 1.265.

To know more about binomial theorem visit :-

https://brainly.com/question/30100273

#SPJ4

Answer: 11, 16, 26, 41

Step-by-step explanation:

Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

For more such question on distance . visit :

https://brainly.com/question/30395212

#SPJ8

Step-by-step explanation:

r - 18 = 27

r = 27 + 18

r = 45

...

Answer:

r=45

Step-by-step explanation:

r-18 =27

r=27 +18

r=45

45 - 18 =27

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

To know more about cuboid visit:

brainly.com/question/27662032

#SPJ1

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)