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3 years ago

Prove the following please help

Mathematics

1 answer:

MaRussiya [10]3 years ago

4 0

Step-by-step explanation:

5. I assume you mean this:

(cos²x / sin x) + sin x

Add using common denominator.

(cos²x / sin x) + (sin²x / sin x)

(cos²x + sin²x) / sin x

Use Pythagorean identity.

1 / sin x

csc x

6. tan²x cos²x

Write tangent in terms of sine and cosine.

(sin²x / cos²x) cos²x

Simplify.

sin²x

Use Pythagorean identity.

1 − cos²x

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Consumer products are required by law to contain at least as much as the amount printed on the package. For example, a bag of po

Troyanec [42]

Answer:

The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

Step-by-step explanation:

We are given that

Standard deviation, $\sigma=0.2$ ounces

We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.

$P(x\geq 10)=0.99$

Assume the bag weight distribution is bell-shaped

Therefore,

$P(\frac{x-\mu}{\sigma}\geq 10)=0.99$

We know that

$z=\frac{x-\mu}{\sigma}$

Using the value of z

Now,

$\frac{10-\mu}{0.2}=0.99$

$10-\mu=0.99\times 0.2$

$\mu=10-0.99\times 0.2$

$\mu=9.802$

Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

5 0

3 years ago

Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost h

Liula [17]

Answer:

$35.76

Step-by-step explanation:

12.60

23.10

--------

35.76

4 0

3 years ago

Read 2 more answers

6xy (x 2 - xy + y 2 )

Liono4ka [1.6K]

(if 2 is a square)

6xy ( x2 - xy + y2)

= 6x3y - 6x2y2 - 6xy3 --------------the threes and twos on this line are squares and cubics. the six is just a whole number

6 0

3 years ago

4. If your company purchases an annuity that will pay $50,000/year for 10 years at a 11% discount rate, what is the value of the

julsineya [31]

Answer:

The value of the annuity is $326,852.3766.

Step-by-step explanation:

Here is the required formula to find the present value of annuity:

We can find the present value of annuity:

$PV = P + P (\frac{1-(1+r)^{-(n-1)} }{r})$

Here:

P = $50,000

n = represents the number of number of periods

r = 0.11

$PV = 50,000 + 50,5000 (\frac{1-(1+0.11)^{-(10-1)} }{0.11})$

PV = $326,852.3766

The value of the annuity is $326,852.3766 i.e. PV = $326,852.3766.

Keywords: discount rate, present value of annuity

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4 0

3 years ago

There are 178 more bikers than hikers if there are 676 people in the park total how many people are hikers?

Verizon [17]

Answer:

The total number of hikers are 427

Step-by-step explanation:

Let:

The number of bikers = x

The number of hikers = y

There are 178 more bikers than hikers

y = x + 178

if there are 676 people in the park total how many people are hikers?

Hence:

x + y = 676

we substitute x + 178 for y

x + x + 178 = 676

2x + 178 = 676

2x = 676 - 178

2x = 498

x = 498/2

x = 249

y =x + 178

y = 249 + 178

y = 427

Therefore:

The number of bikers = x = 249

The number of hikers = y = 427

The total number of hikers are 427

3 0

3 years ago