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kompoz [17]
3 years ago
8

A deck of card is made up of 4 suits: clubs, diamonds, hearts and spades. each suit has 13 cards ranging from: 2,3,4,5,6,7,8,9,1

0,J, Q, K, A. What is the probability of drawing a 7 or 8 from a deck of playing cards?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0
The probability of drawing a 7 or 8 from a decl of playing cards is 2/13.
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Sum to n terms series 2.3+3.4+4.5+…<br>​
mart [117]

Answer:

5.6

Step-by-step explanation:

3.4-2.3=1.1

2.3+1.1=3.4

3.4+1.1=4.5

4.5+1.1=5.6

3 0
3 years ago
Valerie is making identical quilts for herself and her sister. For each quilt she buys 5 yards of solid fabric and w yards of pr
Nadusha1986 [10]
Valerie bought 18yrds of fabric. If she used 9yrds of fabric on her quilt, she will use another 9yrds on her sister's. The total is 18yrds.
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What does equivalent mean in math
nirvana33 [79]
Same is the answerso it means equal to
6 0
3 years ago
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Marrrta [24]

Given:

A figure of a circle and two secants on the circle from the outside of the circle.

To find:

The measure of angle KLM.

Solution:

According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.

Using intersecting secant theorem, we get

\angle KLM=\dfrac{1}{2}(Arc(JON)-Arc(KM))

(3x-4)=\dfrac{1}{2}(271-(x+6))

(3x-4)=\dfrac{1}{2}(271-x-6)

Multiply both sides by 2.

6x-8=265-x

Isolate the variable x.

6x+x=265+8

7x=273

Divide both sides by 7.

x=\dfrac{273}{7}

x=39

Now,

\angle KLM=(3x-4)^\circ

\angle KLM=(3(39)-4)^\circ

\angle KLM=(117-4)^\circ

\angle KLM=113^\circ

Therefore, the measure of angle KLM is 113 degrees.

5 0
3 years ago
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
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