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4 years ago

What is the solution to the equation below? Round your answer to two

Mathematics

1 answer:

zubka84 [21]4 years ago

6 0

x = 2.33

Explanation:

Given the equation

$6^x=66$

6^x=66

Now, we use the property of log to find out the value of x

So, by taking the log on both sides, we have

$log(6)^x=log(66)$

So, from the the above equation, we have

$xlog(6)=log(66)$

Substituting the logarithmic values,

$x\times0.778=1.8194$

x = 2.33

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A study is performed in a large southern town to determine whether the average weekly grocery bill per four-person family in the

OLga [1]

Answer:

The average weekly grocery bill per four-person family in the town is significantly different from the national average.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100

Sample mean, $\bar{x}$ = $103.23

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = $8.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 100\text{ dollars}\\H_A: \mu \neq 100\text{ dollars}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{103.23- 100}{\frac{8.82}{\sqrt{25}} } = 1.831$

Now,

$t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = \pm 2.063$

Since,

$t_{stat} < t_{critical}$

We accept the null hypothesis.

We accept the null hypothesis and determine that the average weekly grocery bill per four-person family in the town is significantly same to the national average.

4 0

3 years ago

Read 2 more answers

If there are 10 apples in the fridge and 7 on the table, what is the ratio of apples in the fridge to all the apples?

nexus9112 [7]

Answer:

10:17

Step-by-step explanation:

The number of apples in the fridge is 10

The total number of apples is 17 (10+7)

The question is asking for the ratio of apples in the fridge to all of the apples

So, The ratio would be 10:17

Hope this helps!

7 0

2 years ago

Solve each equation for x.

Rufina [12.5K]

Answer:

a) x = 10

b) x = -40

c) x = 10, -40

Step-by-step explanation:

$x-10=0$

Taking 10 to the right hand side 10 becomes positive

$\\\Rightarrow x=10$

So x = 10

$\frac{x}{2}+20=0$

Taking 20 to the right hand side 20 becomes negative

$\frac{x}{2}=-20$

Multiplying both sides by 2

$x=-40$

So, x = -40

$(x-10)(\frac{x}{2}+20)=0\\\Rightarrow x-10=0, \frac{x}{2}+20=0\\\Rightarrow x=10, \frac{x}{2}=-20\\\Rightarrow x=10, x=-40$

Hence, x = 10, -40

So, two solutions can be provided

4 0

3 years ago

Please help on this thank you 10 points!!!!!!!!!!!!!!!!!!!!!!

dimaraw [331]

i think it would be two

3 0

4 years ago

The amount of fertilizer in a landscaping company’s warehouse decreases at a rate of 3% per week. The amount of fertilizer in th

Anit [1.1K]

f(w)=78,000(0.97)w hope this helps

3 0

3 years ago

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