Which is equivalent to sin 51°? A) cos 51° B) cos 39° C) tan 39° D) tan 51°

A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experienc

garri49 [273]

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10 and q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then p = 12 / 30 = 0,4 q = 1 - 0,4 q = 0,6

And p*n = 0,4 * 30 = 12 12 > 10

And q*n = 0,6 * 30 = 18 18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

6 0

2 years ago

Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used

atroni [7]

Answer:

The pecans used in the mixture = 8 kg

The almonds used in the mixture = 17 kg

Step-by-step explanation:

The cost of per kg of pecans = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture = 25 kg

Let us assume the weight of pecans in the mixture = m kg

So, the amount of almonds in the mixture = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

= 28.50 m

cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)

= (25 - m) x ( $ 22.25)

= 556.25 - 22.25 m

Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25

Now, Total Cost of (almonds + Pecans) = Total cost of mixture

⇒28.50 m + 556.25 - 22.25 m = $606.25

or,6.25 m = 50

or, m = 50/6.25 = 8

Hence, the pecans used in the mixture = m = 8 kg

And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg

5 0

2 years ago

Polygon CCC has an area of 404040 square units. Kennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 2 1

dsp73

The area of polygon D is given by:
Ad = k ^ 2 * Ac
Where,
k: scale factor
Ac: area of polygon C
Substituting the values we have:
Ad = (1/2) ^ 2 * (40)
Ad = (1/4) * (40)
Ad = 10 square units
Answer:
the area of Polygon D is:
Ad = 10 square units

7 0

2 years ago

Read 2 more answers

A pair of boots marked for $25 was sold at $15. What was the

patriot [66]

Answer:

40%

Step-by-step explanation:

Original price: $25

Discounted price: $15

Amount of discount: $25 - $15 = $10

The boots sold for $10 less than the original price.

To find the percent discount, we need to find what percent of $25 is $10.

percent = part/whole * 100%

percent = 10/25 * 100%

percent = 0.4 * 100%

percent = 40%

5 0

2 years ago

Anumeha is mowing lawns for a summer job. For every mowing job, she charges an initial fee of $ 10 $10dollar sign, 10 plus a con

slavikrds [6]

Answer:

F(t) = 10 + 5(t)

Step-by-step explanation:

The complete question is as follows;

Anumeha is mowing lawns for a summer job. for every mowing job, she charges an initial fee of \$10$10dollar sign, 10 plus a constant fee for each hour of work. her fee for a 555-hour job, for instance, is \$35$35dollar sign, 35. let f(t)f(t)f, left parenthesis, t, right parenthesis denote anumeha's fee for a single job fff (measured in dollars) as a function of the number of hours ttt it took her to complete it. write the function's formula.

Solution

We are interested in writing the function F(t) formula for the fee charged by Anumeha per job.

Now, the key to writing this function is knowing exactly the constant fee she charges on the job.

We were told that she got $35 for a 5 hour job.

Thus, the constant amount charged is as follows;

Since it’s $10 as initial fee and the constant fee is per hour;

35 = 10 + 5(x)

where x is the constant fee per hour

35 = 10 + 5x

5x = 35-10

5x = 25

x = 25/5

x = $5

This mess that she charges a constant fee of $5 per hour

So we can write the equation now.

F(t) = 10 + 5(t)

where t represents the number of hours she spent on the job

6 0

2 years ago

Which is equivalent to sin 51°?A) cos 51°B) cos 39°C) tan 39°D) tan 51°​

Which is equivalent to sin 51°?A) cos 51°B) cos 39°C) tan 39°D) tan 51°