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notsponge [240]
3 years ago
6

Can you please help me i’ll give extra points

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

First, we need to solve for sin(67°) = 22/x. Multiply each side by x and divide each side by sin(67°)

x = 22/sin(67°) = 23.9

Use pythagorean theorem to find the last side.

a^2 + 22^2 = 23.9^2

a^2 + 484 = 571.21. Subtract each side by 484

a^2= 87.21. Take the square root of each side.

a = 9.3

x = 23.9 and the other side is 9.3

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Abdul put gas in his car. He paid $18.32 for 8 gallons of gas. What is the unit price?
givi [52]

Answer:

<em>$2.29/gal</em>

Step-by-step explanation:

The unit price is in units of cost per volume, or dollars per gallon, so you divide the cost in dollars by the volume in gallons.

unit rate = ($18.32)/(8 gal) = $2.29/gal

7 0
4 years ago
Help me againnnnnnnnnnnnnnnnnnnnnnn
OLEGan [10]

Step-by-step explanation:

(2m + 4) / 8 = w

2m + 4 = 8w

2m = 8w - 4

m = 4w - 2

8 0
2 years ago
Read 2 more answers
In a survey of 2 comma 3002,300 people who owned a certain type of​ car, 1 comma 2651,265 said they would buy that type of car a
iren [92.7K]

Answer:

55% of the people surveyed were satisfied with the​ car

Step-by-step explanation:

The proportion of people surveyed who were satisfied with the car is the number of people who said they would buy that type of car again divided by the total number of people survied.

The percentage is the proportion multiplied by 100.

We have that:

2,300 people surveyed

1,265 said they would buy that type of car again.

1265/2300 = 0.55

0.55*100 = 55%

55% of the people surveyed were satisfied with the​ car

8 0
3 years ago
Last week, the price, in dollars, of a gallon of gasoline was g. This week the price of gasoline per gallon increased by 5%. Whi
dmitriy555 [2]

The price of gasoline in this week is 1.05g. Option C

Step-by-step explanation:

Given,

The price of a gallon of gasoline = g in last week.

The price of gasoline increased by 5% this week.

To find the price of gasoline this week.

Formula

If an original price of an object a increased by b% the final price will be = a×\frac{100+b}{100}

So,

The price of gasoline in this week = g×1.05 = 1.05g

[ Please note: Here option C and E have same value. So, both are correct].

4 0
3 years ago
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
e-lub [12.9K]

Answer with Step-by-step explanation:

Since the given event is binary we can use Bernoulli's probability to sove the problem

Thus for an event 'E' with probability of success 'p' the probability that the event occurs 'r' times in 'n' trails is given by

P(E)=\frac{n!}{(n-r)!\cdot r!}\cdot p^{r}\cdot (1-p)^{n-r}

Part a)

For part a n = 11 , r =9, p = 0.75

Applying values we get

P(E)=\frac{11!}{(11-9)!\cdot 9!}\cdot (0.75)^{9}\cdot (1-0.75)^{11-9}\\\\\therefore P(E)=0.2581

Part b)

For part b n = 20 , r = 16 , p=0.75

Applying values we get

P(E)=\frac{20!}{(20-16)!\cdot 16!}\cdot (0.75)^{16}\cdot (1-0.75)^{20-16}\\\\\therefore P(E)=0.1896

3 0
3 years ago
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