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3 years ago

Calculate the probability of picking a heart from a standard pack of playing cards

Mathematics

2 answers:

AveGali [126]3 years ago

6 0

Answer:

1/4

Step-by-step explanation:

probability of picking hearts = Number of cards with hearts / Total number of cards

= 13/52

= 1/4

muminat3 years ago

5 0

There are 52 cards in a deck. 13 of which are hearts.
13/52 = 1/4
There is a 1/4 chance of randomly picking up a heart in a deck of cards.

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Select all that are like terms to 5a^5b^4.

tankabanditka [31]

Answer:

a^5b^4

-a^5b^4

9a^5b^4

Step-by-step explanation:

Like terms will all have the same bases and exponents.

a^5b^4

-a^5b^4

9a^5b^4

they all contain a^5 b^4

8 0

3 years ago

In this question, i is a unit vector due east and j is a unit vector due north. A cyclist rides at a speed of 4 m/s on a bearing

d1i1m1o1n [39]

Answer:

a) 1.04i + 3.86j

b) magnitude = 8; bearing = 302.7°

Step-by-step explanation:

The first diagram represents the velocity vector of the cyclist.

To express this vector in the form xi + yj, we have to find the components of the vector in the horizontal (i) and vertical (j) directions.

If we consider the horizontal component of the vector to be $x$ , and the vertical component to be $y$ , then:

• horizontal component ⇒ $sin (15^{\circ}) = \frac{x}{4}$

⇒ $x = 4\space\ sin(15^{\circ})$

⇒ $x \approx \bf 1.04$

• vertical component ⇒ $cos(15^{\circ}) = \frac{y}{4}$

⇒ $y = 4 \space\ cos(15^{\circ})$

⇒ $y \approx \bf 3.86$

Now that we have the values of both the horizontal and vertical component, we can write the vector in the form of xi + yj:

vector ⇒ 1.04i + 3.86j

The second diagram shows the first vector (red), the second vector (blue), and the resultant vector v (black). The dashed lines represent the components of the respective vectors.

To add two vectors given their magnitudes and direction, we have to add their components.

In order to find the horizontal and vertical components of the given vectors, we can use a method similar to that used above, so that:

○ For the first vector (magnitude 6):

• horizontal component ⇒ $x = 6 \space\ sin (60^{\circ})$

⇒ $\bf 5.2$

• vertical component ⇒ $y = 6 \space\ cos(60^{\circ})$

⇒ $y = \bf 3$

○ For the second vector (magnitude 2):

• horizontal component ⇒ $x = 2 \space\ cos (40^{\circ})$

⇒ $\bf 1.5$

• vertical component ⇒ $y = 2 \space\ sin(40^{\circ})$

⇒ $\bf 1.3$

Now we can add the respective components together:

v = 5.2i + 3j + 1.5i + 1.3j

⇒ (5.2 + 1.5)i + (3 + 1.3)j

⇒ 6.7i + 4.3j

∴ Magnitude of v ⇒ $|v| = \sqrt{(6.7)^2 + (4.3)^2}$

⇒ $|v| \approx \bf 8$

To find the bearing of v, we have to first calculate the angle marked $\alpha$ :

$tan \alpha = \frac{4.3}{6.7}$

⇒ $\alpha = tan^{-1}(\frac{4.3}{6.7})$

⇒ $\alpha = \bf 32.7^{\circ}$

∴ Bearing = 270° + 32.7°

= 302.7°

8 0

2 years ago

Find the Hypotenuse - Round to nearest tenth. Sem 8 cm

prohojiy [21]

Answer:

Hypothenuse = 6.2 cm

Step-by-step explanation:

a^2+b^2=c^2

=> 5^2+b^2=8^2

=> 25+b^2=64

=> b^2=64-25

=> b^2=39

=> b=6.245

plz mark as brainliest!

4 0

3 years ago

PLLEAASEE HELP PLEaSE QUICK Grace ran 8 laps and walked 3 laps around the gym track. Grace ran twice as many laps as Tami ran. T

Alchen [17]

Answer:

grace by 1 lap.

Step-by-step explanation:

Grace.

ran 8 laps

walked 3 laps

Tami.

ran 8/2 laps which is 4

walked 3•2 laps which is 6.

add all of them together

Grace has 11 while Tami has 10.

11-10 is 1

8 0

4 years ago

What is 7 1/5 written as a fraction

Bess [88]

7 1/5 = 7 + 1/5
= 7/1 + 1/5
= (7/1 × 5/5) + 1/5
= 35/5 + 1/5
= 36/5
= 36 ÷ 5

= 7.2

7 0

3 years ago

Calculate the probability of picking a heart from a standard pack of playing cards​

Calculate the probability of picking a heart from a standard pack of playing cards