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3 years ago

Solve log (4x+5)=2. Round to the nearest thousandth if necessary.

Mathematics

2 answers:

Eva8 [605]3 years ago

7 0

10%5E2+=+4x+%2B+5
100+=+4x+%2B+5
4x+=+95
x+=+23.75
i really need a branliest plz...

Andre45 [30]3 years ago

5 0

Answer:

The solution is $x=\frac{95}{4}=23.75$ .

Step-by-step explanation:

To solve the equation $\log _{10}\left(4x+5\right)=2$ .

Use the logarithmic definition: $\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c$

$\log _{10}\left(4x+5\right)=2\quad \Rightarrow \quad \:4x+5=10^2$

Simplify

$4x+5=100$

Next, solve for $x$

$4x+5-5=100-5\\4x=95\\\frac{4x}{4}=\frac{95}{4}\\x=\frac{95}{4}$

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A simple random sample was taken of 44 water bottles from a bottling plant’s warehouse. The dissolved oxygen content (in mg/L) w

Margarita [4]

Answer:

(a) Test statistic is -2.85 and p-value is 0.0022

(b) Reject the null hypothesis. The population mean of dissolved oxygen content is not equal to 10 mg/L

Step-by-step explanation:

H0: mu equals 10

Ha: mu not equals 10

The test is a two-tailed test because the alternate hypothesis is expressed using not equal to

(a) Test statistic (z) = (sample mean - population mean) ÷ (sd/√n) = (9.14 - 10) ÷ (2/√44) = -0.86 ÷ 0.302 = -2.85

Cumulative area of the test statistic = 0.9978

p-value = 2(1 - 0.9978) = 2(0.0022) = 0.0044

(b) The critical value using 0.02 significance level is 2.422. For a two-tailed test, the region of no rejection of the test statistic lies between -2.422 and 2.422.

Conclusion:

Reject the null hypothesis because the test statistic -2.85 falls outside the region bounded by the critical values -2.422 and 2.422.

The population mean of dissolved oxygen content is not equal to 10 mg/L

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3 years ago

Midpoint is the center point on the line segment True or false?

Mariana [72]

Your Answer should be True

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3 years ago

How I do this someone ples help I need help with 25 and 27.

marta [7]

Number 15 is no solution.

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3 years ago

An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in t

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Answer:

Rachel

Step-by-step explanation:

We need to measure how far (towards the left) are the students from the mean in “standard deviations units”.

That is to say, if t is the time the student ran the mile and s is the standard deviation of the class, we must find an x such that

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For Rachel we have

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For Kenji we have

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For Nedda we have

7 - x*4 = 8, so x = 0.25

Nedda is also 0.25 standard deviations far (to the left) from the mean of his class.

As Rachel is the farthest from the mean of her class in term of standard deviations, Rachel is the fastest runner with respect to her class.

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3 years ago

SELECT ALL THAT APPLY. In a population of 250 students, 60% are Whites, 20% are Latinos, 15% are Blacks, and 5% others. In a pro

Sophie [7]

In a proportionate stratified sample of 120, there are 72 Whites, 24 Latinos, 18 Blacks and 6 others.

Proportionate Stratified Sample

A proportionate stratified sample is one in which the size of the strata in the sample is proportional to the size of the strata in the population; in other words, the chance of selecting a unit from a stratum depends on the relative size of that stratum in the population.

Calculating the Proportionate Stratified Sample

The given percentage of -

Whites = 60%

Latinos = 20%

Blacks = 5%

Strength of the sample = 120

⇒ Number of Whites = 60% of 120

= 0.6 × 120

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Count of Blacks = 15 % of 120

= 0.15 × 120

= 18

Count of others = 5% of 120

= 0.05 × 120

Thus, in a Proportionate Stratified Sample of 120, 72 are Whites, 24 are Latinos, 18 are Blacks, and 6 are others.

Learn more about Proportionate Stratified Sample here:

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6 0

1 year ago