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lara [203]
2 years ago
13

Solve the inequality. 5(x + 1) – 10 ≥ 2x + 3(x + 2)

Mathematics
1 answer:
Elina [12.6K]2 years ago
4 0
There are no values of x that make the inequality true
No solution.
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find the probability of being delt 5 clubs and 3 cards with one of each remaining suit in 8 card poker
kumpel [21]

Answer: 0.003757(approx).

Step-by-step explanation:

Total number of combinations of selecting r things out of n things is given by:-

^nC_r=\dfrac{n!}{r!(n-r)!}

Total cards in a deck = 52

Total number of ways of choosing 8 cards out of 52 = ^{52}C_8

Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = ^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1  [since 1 suit has 13 cards]

The required probability = =\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}

=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757

Hence, the required probability is 0.003757 (approx).

5 0
3 years ago
The side-by-side boxplots show the ages of all Oscar winners for Best Actress (females) and Best Actor (males). It's easy to see
leonid [27]
The answer is A. 61.5
3 0
3 years ago
Read 2 more answers
Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch
Ivenika [448]

Answer:

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion

Step-by-step explanation:

Given that

Rachel traveled to 5 areas to find  number of Buckeye and Monarch butterflies.

Areas Rachel Traveled to = A, B, C, D, E

The table given below shows her findings.

Area            Buckeye          Monarch

A                     15              16  

B                      27              36  

C                     12              25  

D                      24              32  

E                      44              33

Now lets find the ratio of Buckeye and Monarch Butterflies in these areas

Area A

Buckeye : Monarch = 15:16 = 0.9375

Area B

Buckeye : Monarch = 27:36 = 0.75

Area C

Buckeye : Monarch = 12:25= 0.48

Area D

Buckeye : Monarch = 24:32 = 0.75

Area E

Buckeye : Monarch = 44:33 = 1.334

As we know that if two ratios give same answer after solving the fraction then these ratios are in proportion.

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion.


4 0
3 years ago
Read 2 more answers
If 7 buses can transport 280 persons how many persons can be carried by 12 buses
skelet666 [1.2K]

Step-by-step explanation:

672 I'm pretty sure cus yea oop-

3 0
3 years ago
Read 2 more answers
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
oee [108]

Answer:

  • decay
  • 2% decrease

Step-by-step explanation:

The growth factor is the base of the exponent: 0.98. Its relation to the rate of change is ...

  growth factor = 1 + rate of change

  0.98 = 1 + (-0.02)

So, the rate of change is -0.02 = -2%. Since the rate of change is a 2% decrease, it represents decay.

8 0
3 years ago
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