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4 years ago

Can someone help me with this one

Mathematics

1 answer:

Degger [83]4 years ago

6 0

Answer:

Step-by-step explanation:

In 10 seconds -radius is 0.5 inches

in y seconds - radius is 1.25 inches

now using cross multiplication method

10 x 1.25 =0.5 x y

y= (10 x 1.25)/0.5

y = 25 seconds

hailstone should be 25 seconds long in the cloud to have a radius of 1.25 inches.

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The ages of a random sample of five university professors are 39, 54, 61, 72, and 59. Using this information, find a 99% confide

kondor19780726 [428]

Answer:

99% confidence interval for the population standard deviation = (74.97 , 635.20).

Step-by-step explanation:

We are given that the ages of a random sample of five university professors are 39, 54, 61, 72 and 59. Also, it is provided that the ages of university professors are normally distributed.

So, firstly the pivotal quantity for 99% confidence interval for the population standard deviation is given by;

P.Q. = $\frac{(n-1)s^{2} }{\sigma^{2} }$ ~ $\chi^{2} __n_-_1$

where, s = sample standard deviation

$\sigma$ = population standard deviation

n = sample of university professors = 5

Also, $s^{2}$ = $\frac{\sum (X-\bar X)^{2} }{n-1}$ = 144.5

So, 99% confidence interval for population standard deviation, $\sigma$ is;

P(0.2070 < $\chi^{2} __5_-_1$ < 14.86) = 0.99 {As the table of $\chi^{2}$ at 4 degree of freedom

gives critical values of 0.2070 & 14.86}

P(0.2070 < $\frac{(n-1)s^{2} }{\sigma^{2} }$ < 14.86) = 0.99

P( $\frac{ 0.2070}{(n-1)s^{2} }$ < $\frac{1 }{\sigma^{2} }$ < $\frac{ 14.86}{(n-1)s^{2} }$ ) = 0.99

P( $\frac{ (n-1)s^{2}}{14.86 }$ < $\sigma^{2}$ < $\frac{ (n-1)s^{2}}{0.2070 }$ ) = 0.99

99% confidence interval for $\sigma^{2}$ = ( $\frac{ (n-1)s^{2}}{14.86 }$ , $\frac{ (n-1)s^{2}}{0.2070 }$ )

= ( $\frac{ (5-1) \times 144.5^{2}}{14.86 }$ , $\frac{ (5-1) \times 144.5^{2}}{0.2070 }$ )

= (5620.525 , 403483.092)

99% confidence interval for $\sigma$ = ( $\sqrt{5620.525}$ , $\sqrt{403483.092}$ )

= (74.97 , 635.20)

Therefore, 99% confidence interval for the population standard deviation of the ages of all professors at the university is (74.97 , 635.20).

8 0

4 years ago

Find the surface area of the composite figure.

GuDViN [60]

The answer of this equation is 8cm I did the math

5 0

2 years ago

Sadie has mangos and watermelons in a ratio of 91:11. How many mangos does she have if she has 66 watermelons?

snow_lady [41]

Answer:

546 manogoes

Step-by-step explanation:

Sadie has mangos and watermelons in a ratio of 91:11.

We need to find the number of mangoes if she has 66 watermelons.

It means that,

11x = 66

x = 6

So,

Mangoes = 91x

= 91(6)

= 546

Hence, there are 546 mangoes.

3 0

3 years ago

Could someone help I’m so confused

oksano4ka [1.4K]

Answer:

6/4

Step-by-step explanation:

ratio of x to y is the slope so

you can use butterfly method/cross multiply (multiply numerator on one side to the denominator on the other to bring all the terms up and then solve for y)

4(y+3)=6(x+2)

4y+12=6x+12

y=6/4x

so it would be 6/4

4 0

3 years ago

Each license plate in a certain state has five characters (with repeats allowed). Here are the possibilities for each character.

GuDViN [60]

Answer:

one , because if the digits on a plate number are the same with others,it will only be one that is correct

3 0

3 years ago