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3 years ago

What is the probability that she draws a card less than 5

Mathematics

2 answers:

crimeas [40]3 years ago

6 0

Answer:

Number of favourable outcomes i.e. ‘a card of diamond’ is 13 out of 52 cards. Therefore, probability of getting ‘a card of diamond’ Number of favorable outcomes P(D) = Total number of possible outcome = 13/52 = 1/4 (v) a king or a queen. Total number of king is 4 out of 52 cards. Total number of queen is 4 out of 52 cards

Step-by-step explanation:

sladkih [1.3K]3 years ago

6 0

Answer:

4/13

Step-by-step explanation:

16/52 = 4/13

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Mr. Jamison will stain the deck in his backyard, the deck has an area of 752.4 sqaure feet. If the deck is 33 feet long how wide

shtirl [24]

answer:The width of the deck is 22.8 feet.

Step-by-step explanation:

Since we have given that

Area of the deck = 752.4 square feet

Length of deck = 33 feet

Let width of deck be 'x'.

Since Deck is in the shape of rectangle.

As we know the formula for "Area of rectangle ":

\begin{gathered}Area=Length\times width\\\\752.4=33\times x\\\\\dfrac{752.4}{33}=x\\\\22.8=x\end{gathered}

Area=Length×width

752.4=33×x

752.4

22.8=x

Hence, the width of the deck is 22.8 feet.

6 0

2 years ago

What is 3³ evaluate this question

seraphim [82]

Answer:27

Step-by-step explanation:

3 x 3 x 3

8 0

2 years ago

Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph

Dennis_Churaev [7]

ANSWER TO QUESTION 1

$f(x)=(x-2)(x+3)(x-1)^2$ .

EXPLANATION

The function given to us is,

$f(x)=x^4-x^3-7x^2+13x-6$

According to rational roots theorem,

$\pm1,\pm2,\pm3,\pm6$ are possible rational zeros of

$f(x)=x^4-x^3-7x^2+13x-6$ .

We find out that,

$f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6$

$f(-3)=81+27-63-39-6$

$f(-3)=6-6$

$f(-3)=0$

Also

$f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6$

$f(2)=16-8-28+26-6$

$f(2)=6-6$

$f(2)=0$

This implies that

$x-2 and x+3$ are factors of

$f(x)=x^4-x^3-7x^2+13x-6$ and hence $(x-2)(x+3)=x^2+x-6$ is also a factor.

We perform the long division as shown in the diagram.

Hence,

$f(x)=(x-2)(x+3)(x-1)^2$ .

ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots

$x=2$ and $x=-3$ have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.

Also the root $x=1$ has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.

Now we determine the position of the graph on the following intervals,

$x\le -3$

$f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6$

$f(-4)=150\:>0$

$-3\le x \le 1$

$f(0)=-6\:$

$1\le x\le 2$

$f(1.5)=-0.56\:$

$x \ge 2$

$f(3)=24\:>0$

We can now use these information to sketch the function as shown in diagram

4 0

2 years ago

Ordered pair for 6x-4y=16

Rashid [163]

Answer:

Step-by-step explanation:

Ordered pair for 6x-4y=16

8 0

2 years ago

Pls help no links pls

nikdorinn [45]

Hope this kind of puts you in the right direction

4 0

2 years ago