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3 years ago

180 mins is how many hours? Hours:Minutes

Mathematics

2 answers:

tresset_1 [31]3 years ago

7 0

180 min is 3 hrs becuz 180 min by 60 min is equal to 3 hrs 180÷60=3

marshall27 [118]3 years ago

3 0

180:60 = 3hour
:) :) :) :) :)

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Find the 13th term of the sequence 8, -16, 32, -64, ...

barxatty [35]

The pattern is to multiply by -2 each time
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32
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Answer is A

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2 years ago

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there are 4/7 as many girls as there are boys. There are 66 students in the fifth grade. How many students are girls?

zhenek [66]

My guess is 24 girls.

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2 years ago

How do I find this, what’s the formula to find the 20th term and can anyone explain the formula? Will award brainliest

harina [27]

Answer:

f(n) = n^2 +1
f(20) = 401

Step-by-step explanation:

The first differences of the sequence are ...

5-2 = 3
10-5 = 5
17-10 = 7
26-17 = 9
37-26 = 11

Second differences are ...

5 -3 = 2
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9 -7 = 2
11 -9 = 2

The second differences are constant, so the sequence can be described by a second-degree polynomial.

We can write and solve three equations for the coefficients of the polynomial. Let's define the polynomial for the sequence as ...

f(n) = an^2 + bn + c

Then the first three terms of the sequence are ...

f(1) = 2 = a·1^2 + b·1 + c
f(2) = 5 = a·2^2 +b·2 + c
f(3) = 10 = a·3^2 +b·3 +c

Subtracting the first equation from the other two gives ...

3a +b = 3

8a +2b = 8

Subtracting the first of these from half the second gives ...

(4a +b) -(3a +b) = (4) -(3)

a = 1 . . . . . simplify

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3·1 +b = 3

b = 0

And substituting the values for a and b into the equation for f(1), we have ...

1·1 + 0 + c = 2

c = 1

So, the formula for the sequence is ...

f(n) = n^2 + 1

The 20th term is f(20):

f(20) = 20^2 +1 = 401

_____

<em>Comment on the solution</em>

It looks like this matches the solution of the "worked example" on your problem page.

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3 years ago

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Leto [7]

Answer:

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Step-by-step explanation:

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3 years ago

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In a study of parents' perceptions of their children's size, researchers asked parents to estimate their youngest child's height

tatyana61 [14]

Answer:

Test statistic t=6.505

P-value=0

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This is a hypothesis test for the population mean.

The claim is that parents tend to underestimate their youngest child's size.

Then, the null and alternative hypothesis are:

$H_0: \mu=0\\\\H_a:\mu> 0$

The significance level is assumed to be 0.05.

The sample has a size n=39.

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As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.2.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7.2}{\sqrt{39}}=1.153$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.5-0}{1.153}=\dfrac{7.5}{1.153}=6.505$

The degrees of freedom for this sample size are:

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This test is a right-tailed test, with 38 degrees of freedom and t=6.505, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>6.505)=0$

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that parents tend to underestimate their youngest child's size.

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3 years ago