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3 years ago

Solve the equation 4(x – 2) = 3x + 1.

Mathematics

2 answers:

Zina [86]3 years ago

4 0

Answer:

x=9

Step-by-step explanation:

4(x – 2) = 3x + 1

Distribute 4x-8 = 3x+1

Subtract 3x from each side

4x -8-3x = 3x-3x + 1

x-8 =1

Add 8 to each side

x-8+8 = 1+8

x=9

insens350 [35]3 years ago

3 0

First distribute the four

4(x - 2) = 3x + 1 =

4x - 8 = 3x + 1

Now isolate the variable

4x - 8 = 3x + 1 =

4x = 3x + 9 =

x = 9

so your answer is nine

hoped this helped

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Jasmine wants to have an equal quantity of forks and spoons, what is the least number of packages of forks jasmine should buy to

vlada-n [284]

Answer:

6 packages of forks

Step-by-step explanation:

If Jasmine wants to have an equal quantity of forks and spoons, we need to list the multiples of each quantity and determine the least common multiple (LCM).

Forks: 10, 20, 30, 40, 50, 60, 70, 80, 90

Spoons: 12, 24, 36, 48, 60, 72, 84, 96

The LCM in this example is 60. In order to have exactly 60 forks and 60 spoons, Jasmine will need to buy 6 packages of forks [60 ÷ 10 = 6] and 5 packages of spoons [60 ÷ 12 = 5].

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3 years ago

Are G and F mutually exclusive events? Explain. G and F are mutually exclusive because if you are not a finalist, then you canno

Alika [10]

Answer: G and F are mutually exclusive because they cannot occur together

Step-by-step explanation:

According to the definition of mutually exclusive events,

The events which can not occur together and probability of them occurring together is 0 are known as mutually exclusive events.

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The second statement contradict the question about being mutually exclusive events.

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The last statement is correct one that conforms with the question and obeys the definition of mutually exclusive events.

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3 years ago

Write an expression that can be used to check the quotient of 646 ÷ 3

S_A_V [24]

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5 0

3 years ago

Read 2 more answers

Suppose that 15% of the fields in a given agricultural area are infested with the sweet potato whitefly. One hundred fields in t

hram777 [196]

Answer:

a. $\mu=15$

b. $\mu=7.8586 \ and \ \mu=22.1414$

c. Choice A- Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

Step-by-step explanation:

a.Binomial distribution is defined by the expression

$P(X=k)=C_k^n.p^k.(1-p)^{n-k}$

Let n be the number of trials, $n=100$

and p be the probability of success, $p=15\%$

The mean of a binomial distribution is the probability x sample size.

$\mu=np=100\times0.15=15$

b.Limits within which p is approximately 95%

sd of a binomial distribution is given as: $\sigma=\sqrt npq\\q=1-p$

Therefore, $\sigma=\sqrt(100\times0.015\times0.85)=3.5707$

Use the empirical rule to find the limits. From the rule, approximately 95% of the observations are within to standard deviations from mean.

$sd_1=>\mu-2\sigma=15-2\times3.3507=7.8586\\sd_2=>\mu-2\sigma=15+2\times3.3507=22.1414$

Hence, approximately 95% of the observations are within 7.8586 and 22.1414 (areas of infestation).

c. $x=45$ is not within the limits in b above (7.8586,22.1414). X=45 appears to be a large area of infestation. A.Based on limits above, it is unlikely that we would see x = 45, so it might be possible that the trials are not independent.

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3 years ago

Can someone pls help me with this

Over [174]

i believe it is 2 i took the test but it was a while ago sorry if it’s wrong!

4 0

3 years ago