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2 years ago

5=1 2/3x how do I solve for x?

Mathematics

2 answers:

poizon [28]2 years ago

8 0

$\huge\textbf{Hey there!}$

$\mathsf{5 = 1 \dfrac{2}{3}x}$

$\mathsf{1 \dfrac{2}{3}x = 5}$

$\mathsf{\dfrac{1\times3 + 2}{3}x= 5}$

$\mathsf{\dfrac{3 + 2}{3}x = 5}$

$\mathsf{\dfrac{5}{3}x = 5}$

$\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}$

$\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}$

$\large\text{SIMPLIFY IT!}$

$\mathsf{x = \dfrac{3}{5}\times5}$

$\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}$

$\mathsf{x = \dfrac{3\times5}{5\times1}}$

$\mathsf{x = \dfrac{15}{5}}$

$\mathsf{x = \dfrac{15\div5}{5\div5}}$

$\mathsf{x = \dfrac{3}{1}}$

$\mathsf{x = 3\div1}$

$\mathsf{x = 3}$

$\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark$

<h2>~ $\frak{Amphitrite1040:)}$ </h2>

LiRa [457]2 years ago

7 0

You'll first Cross multiply: 5× 3x

that'll give you 15x.

15x=12(12 is a numerical constant).

Divide both sides by the the coefficient of X .That is 15x/15= 12/15

Therefore the answer is 12/15= x

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A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d

kenny6666 [7]

Answer:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

$p_v =2*P(Z>2)=0.0455$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean differs from 24 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=25$ represent the sample mean

$\sigma=2$ represent the sample population deviation for the sample

$n=16$ sample size

$\mu_o =24$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 24, the system of hypothesis would be:

Null hypothesis: $\mu = 24$

Alternative hypothesis: $\mu \neq 24$

If we analyze the size for the sample is < 30 but we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{25-24}{\frac{2}{\sqrt{16}}}=2$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(Z>2)=0.0455$

Conclusion

6 0

4 years ago

The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( Un

kumpel [21]

This question is incomplete, the complete question is;

The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use ∝ = 0.01

Answer:

Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.

Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of female wolves is now less than ( 0.5 ) 50% in the region.

Step-by-step explanation:

Given the data in the question;

Hypothesis;

H₀ : p ≥ 0.5 { 50% }

H₁ : p < 0.5

This is a lower tailed test { H₁ : p < 0.5 }

sample size n = 34

number of female wolves x = 10

sample proportion p" = x / n = 10 / 34 = 0.2941176

claimed proportion P = 0.5

significance level ∝ = 0.01

we determine the standard deviation of p"

σ $_{p"$ = √[ (p(1 - p)) / n ] = √[ (0.5(1 - 0.5)) / 34 ]

= √[ (0.5 ×0.5) / 34 ]

σ $_{p"$ = 0.08575

Test statistics

$z_{observed$ = (p" - 0.5) / σ $_{p"$

$z_{observed$ = (0.2941176 - 0.5) / 0.08575

$z_{observed$ = -2.40

Test statistic : -2.40

Since its a lower tailed test;

P-value = P( Z < $z_{observed$ ) = P( Z < -2.40 ) = 0.0082

Rejection criteria: Reject H₀ if p-value < ∝

Decision:

Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.

Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of of female wolves is now less than ( 0.5 ) 50% in the region.

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3 years ago

Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving

Zarrin [17]

Answer: The function that models the distance they drive is

f(x) = 50x + 20 where x is the time in hours

reasonable domain: 0 ≤ x ≤ 3

Step-by-step explanation:

examples:

95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.

120 = 50(2) + 20 This means that after 2 more hours they will reach their destination.

There is a little ambiguity in the question. The function could be written as if they are starting out. f(x) = 50t

20 = 50(.4) At 50 mph it took .4 hours to go 20 miles.

120 = 5(2.4) The whole trip took 2.4 hours.

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3 years ago

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Rufina [12.5K]

Answer:

here you go

Step-by-step explanation:

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3 years ago

in a board game you must roll two 6-sided number cubes. you can only start the game if you roll a 3on at least one of the number

omeli [17]

Answer:

$1-(5/6)^2$

31% chance

1 in 3.272727273 rolls

Step-by-step explanation:

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3 years ago