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nydimaria [60]
3 years ago
10

Find the critical value ze necessary to form a confidence interval at the level of confidence shown below

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

1.31

Step-by-step explanation:

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A flower takes 8 minutes to grow 5.2 inches. How many inches will the flower grow in 17 minutes?
svp [43]
11.05 inches.

EXPLANATION:

Firstly, lets see the unit rate for how many inches per minute.

5.2 divided by 8 is 0.65 inches every minute.

Now since there is 17 mins, simply do 0.65 inches per min x 17 mins.

11.05 inches.

Hope this helps!
5 0
3 years ago
Find the value of x.
brilliants [131]

Answer:

4

Step-by-step explanation:

4 0
2 years ago
a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo
allochka39001 [22]

The water will last for 3 days

<em><u>Solution:</u></em>

Given that, village having a population of 4000, requires 150 litres of water per head per day

<em><u>Let us first find the volume of tank</u></em>

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

volume\ of\ tank = length \times breadth \times height

Volume\ of\ tank = 20 \times 15 \times 6 = 1800

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

<em><u>Therefore, water required for 4000 people per day is:</u></em>

\rightarrow 4000 \times 150 = 600000 \text{ liters }

Convert to meters

600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3

<em><u>How many days will the water of this tank last?</u></em>

\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}

\text{Number of days water will last } = \frac{1800}{600} = 3

Thus the water will last for 3 days

5 0
3 years ago
5^(2x-1)+5^(x+1)=250<br> how do you solve?<br> thank you
zepelin [54]

Answer:

<em>x = 2</em>

Step-by-step explanation:

<u>Exponential Equations</u>

Solve:

5^{2x-1}+5^{x+1}=250

Separate each exponential:

5^{2x}5^{-1}+5^{x}5^{1}=250

Operating:

\displaystyle \frac{5^{2x}}{5}+5^{x}5=250

Multiplying by 5:

5^{2x}+25\cdot5^x=1250

Rearranging:

5^{2x}+25\cdot5^x-1250=0

Recall that:

5^{2x}=(5^{x})^2

(5^{x})^2+25\cdot5^x-1250=0

Calling

y=5^{x}:

y^2+25y-1250=0

Factoring:

(y-25)(y+50)=0

There are two possible solutions:

y=25

y=-50

Since

y=5^{x}

y cannot be negative, thus:

5^{x}=25=5^2

The solution is:

x = 2

8 0
3 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0
3 years ago
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