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BigorU [14]
3 years ago
9

WILL MARK BRAINLIEST

Mathematics
2 answers:
koban [17]3 years ago
8 0
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. So the y-intercept of y = 3x + 2 is 2
Eddi Din [679]3 years ago
7 0

Answer:

The y-intercept of the function​ ​ y=3x+2 ​ ​​is equal to the y-intercept of the function represented in the graph.

Step-by-step explanation:

The slope intercept form of a line.

y=mx+b          .... (1)

Where, m is slope and b is y-intercept of the line.

The given function is

y=3x+2          .... (2)

On comparing (1) and (2), we get

m=3

b=2

Therefore slope of given function is 3 and y-intercept of given function is 2.

From the given graph it is noticed that the line intersects the y-axis at y=2, therefore the y-intercept of the function represented in the graph is 2.

Therefore y-intercept of the function​ ​ y=3x+2 ​ ​​is equal to the y-intercept of the function represented in the graph.

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a group of friends are riding bicycles. She takes 4 hours to ride 25.6 kilometers whats there speed?
Dvinal [7]

Answer:

6.4 Kilometers Per Hour

Step-by-step explanation:

To find how many kilometers per hour divide the kilometers traveled by the amount of hours they have rode.

25.6/4=6.4

5 0
2 years ago
Two different sizes of square metal duct are joined by a piece that is a frustum of a pyramid. Find the lateral surface area, if
Allisa [31]

Answer:

288 in²

Step-by-step explanation:

The formula used to solve this question is :

Lateral Surface Area = s( P1 + P2)

Where s = slant height = 2 inches

P1 and P2 = Perimeter of the bases

Perimeter of base 1 = 4 × length of the end of the small square

4 × 17 inches = 68 inches

Perimeter of base 2 = 4 × length of the end of the large square

4 × 19 inches = 76 inches

Lateral Surface Area = 2 × (68 + 76)

= 2 × 144

= 288 in²

8 0
3 years ago
your family went out to dinner to celebrate your grandmas 100th birthday. The total for the dinner was $208.60, so your parents
Allushta [10]

Answer:

\%Tip = 13.04\%

Step-by-step explanation:

Given

Tip= \$31.29

Bill = \$208.60

Required

Determine the percentage of the tip

First, we calculate the amount paid

Amount = Tip + Bill

Amount = \$31.29 + \$208.60

Amount = \$239.89

The percentage of the tip is then calculated using:

\%Tip = \frac{Tip}{Amount} * 100\%

\%Tip = \frac{31.29}{239.89} * 100\%

\%Tip = \frac{31.29* 100}{239.89} \%

\%Tip = \frac{3129}{239.89} \%

\%Tip = 13.04\%

8 0
2 years ago
(02.01)Line segment CD has a length of 3 units. It is translated 2 units to the right on a coordinate plane to obtain line segme
kipiarov [429]
The translation of a segment or object, from one location to another on the plane, doesn't change its length, just its location.

so it used to be there, now is here, but its length never changed.
7 0
3 years ago
Read 2 more answers
What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success​ p? C
charle [14.2K]

Answer:

(D)E[ X ] =np.

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success​ p,

f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq  x\leq n

E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}

Now,

x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)

Substituting,

E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}

Factoring out the n and one p from the above expression:

E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}

Representing k=x-1 in the above gives us:

E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}

This can then be written by the Binomial Formula as:

E[ X ] = (np) (p +(1 - p))^{n -1 }= np.

5 0
3 years ago
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