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2 years ago

Which length is 10 6 times greater than a nanometer?

1 answer:

8 0

A nanometer (nm) is 10⁻⁹ m.

Therefore
10⁶ x 1 nm = 10⁶(10⁻⁹ m) = 10⁻³ m

By definition,
10⁻³ m = 1 mm (millimeter)

Answer: 1 millimeter

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The arena wants to estimate the previous two month’s ticket-sale income. In total, 71,115 people attended different events at th

AveGali [126]

Hey there,
Total no. of people= 71,115
Average cost of ticket = 21.15 pounds
Total ticket income= 71,115 x 21.15
= 1,504,082.25 pounds

Hope this helps :))

~Top

7 0

2 years ago

A recent study found that 51 children who watched a commercial for Walker Crisps (potato chips) featuring a long-standing sports

hichkok12 [17]

Answer:

The claim is that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The kind of test to use is a t -test because a t -test is used to check if there is a difference between means of a population

$t = 3.054$

The p-value is $p-value = P(Z > 3.054) = 0.0011291$

The conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

The test statistics is

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 51$

The first sample mean is $\mu_1 = 36$

The second sample size is $n_2 = 41$

The second sample size is $\mu_2 = 25$

The first standard deviation is $\sigma _1 = 21.4 \ g$

The second standard deviation is $\sigma _2 = 12.8 \ g$

The level of significance is $\alpha = 0.05$

The null hypothesis is $H_o : \mu_1 = \mu_ 2$

The alternative hypothesis is $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} } }$

=> $t = \frac{ 36 - 25}{ \sqrt{ \frac{ 21.4^2}{51} + \frac{ 12.8^2}{41} } }$

=> $t = 3.054$

The p-value is mathematically represented as

$p-value = P(Z > 3.054)$

Generally from the z table

$P(Z > 3.054) = 0.0011291$

=> $p-value = P(Z > 3.054) = 0.0011291$

From the values obtained we see that $p-value < \alpha$ so the null hypothesis is rejected

Thus the conclusion is

There is sufficient evidence to conclude that the mean amount of Walker Crisps eaten was significantly higher for the children who watched the sports celebrity- endorsed Walker Crisps commercial

5 0

2 years ago

A walking trail is 1,580.76 feet long. A lake is located 70.62 feet away from the end of the trail. What is the total distance f

Aleks04 [339]

Answer: $1651.38\ ft$

Step-by-step explanation:

Given

A walking trail is $1580.76\ ft$ long and a lake is located $70.62\ ft$ away from end of the trail

The distance from the start of the trail to the lake is the sum of the length of the trail and lake

$\Rightarrow 1580.76+70.62\\\Rightarrow 1651.38\ ft$

5 0

2 years ago

There are 600 pages in a novel. Rui feng reads 150 pages of the novel on friday and 40% of the remaining pages on sunday express

nadya68 [22]

Step-by-step explanation:

percentage

current number/total number * 100

150/400*100 is 37.5%

5 0

2 years ago

Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $

soldier1979 [14.2K]

If he buys x pens and y pencils

3x + y = 10
x ≤ y

You draw the line 3x + y = 10 .(it passes by (0,10) and (-10/3,0)


You Draw the line y=x [it passes by (0,0), (1,1), (2,2)]


Solution: is the points with integer x and y, that belong to the segment of the line 3x +y = 10 between the x-axis and the line y=x. Those points are (1,7) , (2,4), (3, 1).

Hope this helps ^-^

6 0

2 years ago

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