Help for this problem! I'm stuck

exis [7]

We can simplify it by combining like terms
We get -7x -3x = -10x and -10x+8x = -2x
then we get -2x + 2 = -8
-2x = -10
x = 5

4 0

3 years ago

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Find the terminal point p(x y) on the unit circle determined by the given value of t. t = -3 pi / 2

Vlada [557]

-3pi/2 is the same thing as pi/2

the terminal point on the unit circle for pi/2 is (0,1)

so that means the terminal point for -3pi/2 is also (0,1).

7 0

3 years ago

PROBLEM SOLVING Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during

Akimi4 [234]

Answer:

Probability that at most 50 seals were observed during a randomly chosen survey is 0.0516.

Step-by-step explanation:

We are given that Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey.

The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals.

Let X = <u><em>numbers of seals observed</em></u>

The z score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean numbers of seals = 73

$\sigma$ = standard deviation = 14.1

Now, the probability that at most 50 seals were observed during a randomly chosen survey is given by = P(X $\leq$ 50 seals)

P(X $\leq$ 50) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{50-73}{14.1}$ ) = P(Z $\leq$ -1.63) = 1 - P(Z < 1.63)

= 1 - 0.94845 = <u>0.0516</u>

The above probability is calculated by looking at the value of x = 1.63 in the z table which has an area of 0.94845.

4 0

4 years ago

Out of 340 racers who started the marathon, 302 completed the race, 26 gave up, and 12 were disqualified. What percentage did no

tangare [24]

Answer:

11.18%

Step-by-step explanation:

Total = 340

Completed = 302

Not completed = 340 - 302 = 38

Not completed% = 38/340*100% = 11.18%

3 0

3 years ago

Ciro purchased a concert ticket for $56 . The cost of the ticket was 4/5 the cost of his dinner. The cost of his hotel was 2 1/2

NeTakaya

$266

<h3>Further explanation</h3>

<u>Given:</u>

Ciro purchased a concert ticket for $56.

The cost of the ticket was ⁴/₅ the cost of his dinner.

The cost of his hotel was 2¹/₂ times much as his ticket.

<u>Question:</u>

How much did Ciro spend altogether for the concert ticket, hotel, and dinner?

<u>The Process:</u>

Note from all the data above we can start from the cost of his dinner by forming a pattern of 5 units.

$Dinner: \boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}\boxed{\cdot}$

Since the cost of the ticket is ⁴/₅ the cost of the dinner, then we arrange the cost of the ticket by forming a pattern of 4 units containing $ 14 each. Recall that $\boxed{\$ 56 \div 4 = \$ 14}$

$Ticket: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 56$

Let us calculate the cost of his dinner:

$\boxed{ \ 1 \ unit = \$ 14 \rightarrow 5 \ units = \$ \ ? \ }$

$Dinner: \boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14}\boxed{\$ 14} = \$ 70}$

$\boxed{ \ \ or \ 5 \ unit \times \$ 14 = \$ 70 \ }$

Hence, the cost of his dinner is $\boxed{\boxed{ \ \$ 70 \ }}$

Since the cost of his hotel is 2¹/₂ times much as his ticket, then we arrange the cost of his hotel by forming a pattern of two and one-half units of the cost of ticket.

Let us calculate the cost of his hotel:

$\boxed{ \ 1 \ ticket = \$ 56 \rightarrow 2\frac{1}{2} \ units = \$ \ ? \ }$

$Hotel: \boxed{\$ 56}\boxed{\$ 56}\boxed{\$ 28} = \$ 140}$

$\boxed{ \ \ or \ \frac{5}{2} \ unit \times \$ 56 = \$ 140 \ }$

Recall that $\boxed{\ 2\frac{1}{2} = \frac{5}{2}}$

Hence, the cost of his hotel is $\boxed{\boxed{ \ \$ 140 \ }}$

In the final step, we calculate how much Ciro spend altogether for the concert ticket, hotel, and dinner.

$\boxed{ \ The \ concert \ ticket = \$ 56 \ }$

$\boxed{ \ The \ hotel = \$ 140 \ }$

$\boxed{ \ The \ dinner = \$ 70 \ }$

$\boxed{ \ \$ 56 + \$ 140 + \$ 70 = \$ 266 \ }$

Thus, Ciro spent $266 altogether for the concert ticket, hotel, and dinner.

<h3>Learn more</h3>

What is the width of the actual snowflake? brainly.com/question/1070912
How much does his cat weigh (Jesse's)? brainly.com/question/388037
How much more paint will Mathilde need to buy? brainly.com/question/36885

Keywords: Ciro purchased a concert ticket for $56, pattern, 4/5 the cost of his dinner, the cost of his hotel was 2 1/2 times much as his ticket, Ciro spend altogether

4 0

4 years ago

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