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3 years ago

The product of 4 and the sum of a number and 12 is at most 16

Mathematics

1 answer:

Vadim26 [7]3 years ago

8 0

    4(x + 12) ≤ 16
4(x) + 4(12) ≤ 16
   4x + 48 ≤ 16
   - 48 - 48
   4x ≤ 32
      4 4
   x ≤ 8

Solution Set: (8, ∞)

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In a statistics class of 13 sophomores, 12 juniors, and 8 seniors, 5 of whom are male sophomores, 6 of whom are female juniors,

8_murik_8 [283]

Answer:

$\frac{20}{33}$

Step-by-step explanation:

We are given that

Sophomores=13

Juniors=12

Seniors=8

Male sophomores=5

Female sophomores=6

Male seniors=4

We have to find the probability of randomly selecting a junior or a senior.

Total persons=13+12+8=33

Let A=Seniors

B=Juniors

Probability,P(E)= $\frac{number\;of\;favorable\;cases}{total\;number\;of cases}$

Using the formula of probability

$P(A)=\frac{8}{33}$

$P(B)=\frac{12}{33}$

$A\cap B=0$

$P(A\cap B)=0$

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(A\cup B)=\frac{8}{33}+\frac{12}{33}$

$P(A\cup B)=\frac{8+12}{33}=\frac{20}{33}$

Hence, the probability of selecting a junior or senior= $\frac{20}{33}$

3 0

3 years ago

Explain how to solve -4(1.75 + x) =18

kobusy [5.1K]

Answer:

first change any decimal to a whole. -4(175+x)=18. Then times -4 by 175 and x, -700+ 4x =18. Then add +700 to -700 which equals just 4x ,then add +700 to 18, which is 4x = 718. then divide both sides by 4 and estimate. x= 180

Step-by-step explanation:

8 0

2 years ago

Colin and Brian scored 59. Brian scored 59 more points than Colin ,so what are Colin and brain scored combine together ? Colin s

makvit [3.9K]

Answer:

Step-by-step explanation:

Let c and b represent the scores of Colin and Brian respectively. Then

c + b = 59. Since brian scored 59 more points than Colin, that means c = 0 and b = 59. Their combined score is 0 + 59 = 59.

6 0

3 years ago

5 1/3 + ( 2 1/3 + 1 1/3)=

Fiesta28 [93]

Okay so you want to do the parentheses first okay? So 2.3333...+1.3333333 is?3.666 or 3 2/3. So you got that right? So then 5 1/3+ 3 2/3. You get an easy 9. Because 1/3+ 2/3 adds up to 3/3, and is normally written as 1. So add a one to 5+3=8+1.

6 0

3 years ago

Read 2 more answers

Megan is deciding when she needs to leave for school. If it typically takes her 15 minutes to walk to school, which is a reasona

Andreas93 [3]

Answer:

A) between 7:40 and 7:45

Step-by-step explanation:

Given,

The maximum time taken by her to walk to school = 15 minutes,

Since, the school starts on 8:00 AM,

Also, 15 minutes before 8:00 AM = 7:45 AM,

Thus, the maximum time at which she has to leave home = 7: 45 AM,

Hence, the reasonable estimate of the time she should leave home to get to school by 8:00 is between 7:40 and 7:45.

OPTION A would be correct.

3 0

3 years ago