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puteri [66]
3 years ago
11

An American green tree frog tadpole is about 0.00001 kilometer in length when it hatches. Write this decimal as a power of 10.

Mathematics
1 answer:
babymother [125]3 years ago
3 0

To write it in a decimal of power 10, we move the decimal place to the right. Since the movement of the decimal place is to the right, the power of 10 will be a negative number based on the number of movements.

From 0.00001 to 1, the decimal place is moved 5 times, therefore:

<span>1 x 10^-5 kilometer</span>

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In a recent survey, 40 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of twelve
worty [1.4K]

Answer:

4 people name chocolate

Step-by-step explanation:

Let's first understand the given information.

The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.

Dividing the total of people (100) by the ones who name chocolate (40) then we have:

100/40 = 2.5

Through the above equation we are actually expressing the following:

Total people = 2.5 * (people who name chocolate flavor)

Using this equation if we have now 12 people:

12 = 2.5 * (people who name chocolate flavor)

12/2.5 = (people who name chocolate flavor)

4.8 = people who chose chocolate flavor

Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.

5 0
3 years ago
21.) A rectangle has an area of 36 square units. As the length and width change, what do you know about their
natima [27]

Answer:

the length and the width are inversely proportional to each other (l=\frac{36}{w} or w=\frac{36}{l})

Step-by-step explanation:

Let

l units = length of the rectangle,

w units = width of the rectangle.

The area of the rectangle is

\text{Area}=\text{Length}\cdot \text{Width}

A rectangle has an area of 36 square units, so

l\cdot w=36

Complete the table with some values of l and w that fit the previous formula:

\begin{array}{ccc}\text{Length}&\text{Width}&\text{Area}\\ \\36&1&36\cdot 1=36\ un^2.\\18&2&18\cdot 2=36 \ un^2.\\12&3&12\cdot 3=36\ un^2.\\ 9&4&9\cdot 4=36\ un^2.\\l&w&l\cdot w=36 \ un^2.\end{array}

As you can see, the length and the width are inversely proportional to each other (l=\frac{36}{w} or w=\frac{36}{l})

4 0
3 years ago
Tom brought a board that was 7/8 of a yard long. he cut of 1/2 a yard.how much was left
Burka [1]

Answer:

3/8

Step-by-step explanation:

7/8- 1/2 which is equivilient to 4/8 is 3/8

8 0
2 years ago
Determine the value of y, if x is 5.<br> y= (x +3<br> Answer:<br> Submit Answer
zepelin [54]

Answer:

y=8

Step-by-step explanation:

substitute (plug in) 5 for x because it says that the value of x is 5

4 0
3 years ago
Read 2 more answers
Renee wants to estimate the percentage of people who lease a car. She surveys 150 individuals and finds that 33 lease a car. Fin
Oduvanchick [21]

Answer: (0.164,\ 0.276)

Step-by-step explanation:

The confidence interval of population proportion is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Given : Sample size : n=150

The proportion of individuals lease a car :hat{p}=\dfrac{33}{150}=0.22

Significance level : \alpha: 1-0.9=0.1

Critical value : z_{\alpha/2}=1.645

Then, the confidence interval of population proportion is given by :-

0.22\pm (1.645)\sqrt{\dfrac{0.22(1-0.22)}{150}}\\\\\approx0.22\pm0.056=(0.164,\ 0.276)

Hence, the confidence interval for the population proportion with a 90% confidence level= (0.164,\ 0.276)

5 0
3 years ago
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