What is the ratio 35 to 56 written as a fraction in lowest terms?

Answers

Answer 1
Answer: In lowest terms 35 to 56 would be written as 
Answer = 5 to 8 
:)

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What is the median of 37, 39,40, 42,42, 45, 48, 49, 51, 52?

Answers

To find a median, first order the numbers from least to greatest, or vice versa.
Then, the middle number in that sorted list is the median.

But, this list is already sorted.
So, the median is 42 & 45.

Technically, the answer is 42 & 45.

The middle of 42 & 45, however, is 43.5

Hope this helped!
The median is ........... 
43.5

Gerald bought a home for $300,000. His largest up-front cost is 10 percent, or $30,000. What is this cost called?

Answers

It is called 'down payment'.

Answer:

Down payment.

Step-by-step explanation:

We have been given that Gerald bought a home for $300,000. His largest up-front cost is 10 percent, or $30,000. We are asked to determine the name of the given cost.

We know that when something is bought on credit, an initial payment is needed to be paid and that is known as down-payment.

Therefore, the given cost is known as the down payment.

The average high temperature in Anchorage, Alaska, in January is 21°F with a standard deviation of 10°. The average high temperature in Honolulu in January is 80°F with a standard deviation of 8°. In which location would it be more unusual to have a day in January with a high of 57°F?

Answers

Answer:

In Honolulu it be more unusual to have a day in January with a high of 57°F

Step-by-step explanation:

Given,

The average high temperature in Anchorage, Alaska,

\mu_1 = 21° F,

Having standard deviation,

\sigma_1 = 10°,

Thus, the z-score for the high temperature of 57° F in alaska,

z_1=(57-\mu_1)/(\sigma_1)

=(57-21)/(10)

=3.6

By the z-score table the probability of the high temperature of 57°F in Alaska = 0.99984 = 99.984 %

Now, the average high temperature in Honolulu is,

\mu_2=80^(\circ)

Having standard deviation,

\sigma_2=8^(\circ)

Thus, the z-score for the high temperature of 57° F in Honolulu,

z_2=(57-\mu_2)/(\sigma_2)

=(57-80)/(8)

=-2.875

By the z-score table the probability of the high temperature of 57° in Honolulu = 0.00205 = 0.205 %

Since, a probability is unusual if it is less than 5 %,

Hence, In Honolulu  it be more unusual to have a day in January with a high of 57°F.

It would be more odd in Honolulu.

What is the exact area of a circle whose diameter is 18 cm? A. 9 straight pi cm2 B. 18 straight pi cm2 C. 36 straight pi cm2 D. 81 straight pi cm2

Answers

The formula for the area of a circle is:

A=πr²

We also know that the diameter of a circle is twice the size of its radius

d=2r

So if the diameter is 18...

18=2r

divide both sides by 2

9=r

The radius of the circle is equal to 9cm

Now we can solve for the area

A=πr²

A=π9²

A=π81

A=81πcm²


The exact area of a circle whose diameter is 18cm is 81πcm²


Answer=D


-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

\boxed {a_(24) = - 70}

Step-by-step explanation:

According to the following pattern sequence (-1, -4, -7, -10 ), it is Arithmetic Sequence, because every negative number is subtracted by 3. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

a_(n) = a_(1) +  (n - 1) d

a_(n): nth term in the sequence

a_(1): 1st term

n: term position

d: Common difference

-Apply to the formula:

a_(24) = -1 - 3 (24 - 1)

a_(n) = a_(24)

a_(1) = -1

n = 24

d = -3

-Solve:

a_(24) = -1 - 3 (24 - 1)

a_(24) = -1 - 3 (23)

a_(24) = -1 - 69

\boxed {a_(24) = - 70}

Therefore, the 24th term is -70.

Final answer:

The nth term of the sequence is given by the formula nth term = -1 + (n-1)(-3), resulting in a24 (the 24th term) being -70.

Explanation:

To find the nth term of any arithmetic sequence, you can use the formula: nth term = a + (n - 1)d where a is the first term and d is the common difference. In the given sequence -1, -4, -7, -10, the first term (a) is -1 and the common difference (d) is -3 (because each term is 3 less than the previous term).

So, the nth term formula for this sequence would be

nth term = -1 + (n-1)(-3)

To find the 24th term of the sequence (a24), you would substitute n with 24. So, a24 = -1 + (24-1)(-3) = -70.

Learn more about Arithmetic sequence here:

brainly.com/question/32830972

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Write the equation of the parabola with a focus (1,2) and directrix y = 1

Answers

since the y shifted and focus is above directix, parabola opens up
4P(y-k)=(x-h)^2
distance from focus to veretx=distance from vertex to directix=P

from focus to directix is
from 2 to 1 which is 1 distance
1/2=P since 1/2of 1=1/2
4(1/2)(y-k)=(x-h)^2
vertexis 1 higher than directix so add 1/2 to 1 to get 1.5
vertex=(1,1.5)
vertex=(h,k)

equation is
4(1/2)(y-1.5)=(x-1)^2
if you want vertex form
2(y-1.5)=(x-1)^2
divide 2
y-1.5=(1/2)(x-1)^2
add 1.5
y=(1/2)(x-1)^(2)+1.5