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Vsevolod [243]
2 years ago
11

3. Tim has 5/12 of a jar of blackberry jam and 3/8

Mathematics
1 answer:
Rama09 [41]2 years ago
8 0

Answer:

The answers are 10/24 and 9/24.

Step-by-step explanation:

Given:

Tim has 5/12 of a jar of blackberry jam and 3/8  of a jar of strawberry jam.

Now, to write using a common denominator.​

So, we get the multiples of denominator of the fractions to get common denominator:

12 - 12, <u>24</u>, 36.

8  -  8, 16, <u>24</u>.

Here we see that <u>24</u> is the common denominator.

Now, we multiply the numerator and denominator with the same number to get the common denominator of the fractions:

⇒  \frac{5}{12}=\frac{5\times 2}{12\times 2} =\frac{10}{24}

⇒  \frac{3}{8}=\frac{3\times 3}{8\times 3} =\frac{9}{24}

Therefore, the answers are 10/24 and 9/24.

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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts
Alexxandr [17]

Answer:

The value of the test statistic is t = 2.67

Step-by-step explanation:

The null hypothesis is:

H_{0} = 7.8

The alternate hypotesis is:

H_{1} \neq 7.8

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem, we have that:

X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}

t = 2.67

The value of the test statistic is t = 2.67

5 0
3 years ago
Complete the assignment on a separate sheet of paper<br><br> Please attach pictures of your work.
Irina18 [472]

Answer:

<u>TO FIND :-</u>

  • Length of all missing sides.

<u>FORMULAES TO KNOW BEFORE SOLVING :-</u>

  • \sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}
  • \cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}
  • \tan \theta = \frac{Side \: opposite \: to \: \theta}{Side \: adjacent \: to \: \theta}

<u>SOLUTION :-</u>

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

=> \sin 16 = \frac{7}{x}

=> \frac{7}{x} = 0.27563......

=> x = \frac{7}{0.27563....} = 25.39568..... ≈ 25.3

2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

=> \sin 29 = \frac{6}{x}

=> \frac{6}{x} = 0.48480......

=> x = \frac{6}{0.48480....} = 12.37599..... ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

=> \sin 30 = \frac{x}{11}

=> \frac{x}{11} = 0.5

=> x = 0.5 \times 11 = 5.5

4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

=> \cos 43 = \frac{x}{12}

=> \frac{x}{12} = 0.73135......

=> x = 12 \times 0.73135.... = 8.77624.... ≈ 8.8

5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

=> \cos 55 = \frac{x}{6}

=> \frac{x}{6} = 0.57357......

=> x = 6 \times 0.57357.... = 3.44145.... ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

=> \cos 73 = \frac{8}{x}

=> \frac{8}{x} = 0.29237......

=> x = \frac{8}{0.29237.....} = 27.36242..... ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

=> \tan 69 = \frac{12}{x}

=> \frac{12}{x} = 2.60508......

=> x = \frac{12}{2.60508....}  = 4.60636.... ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

=> \tan 20 = \frac{11}{x}

=> \frac{11}{x} = 0.36397......

=> x = \frac{11}{0.36397....}  =30.22225.... ≈ 30.2

5 0
2 years ago
-7-(-9) =<br> What is the answer to the question
Rudiy27
Answer: 2

-7 - (-9) could be visualized as -7 + 9

-7 + 9 is 2
7 0
3 years ago
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The pool at "Splash Around" is open for 14 weeks during the summer. You can swim for $6 a session, or you can buy a membership f
iris [78.8K]
Price before membership= price 1 = $6
price after membership = price 2 = $4
Membership price = $100
SO according to price 1 and price 2; price after membership saves up $2 for each session.
Hence to justify the price of membership number of sessions can be calculated as follows:-
$2 saved = 1 session
to make it $100 multiply both sides by 50
2×50 = 1×50
100$ saved = 50 sessions
so 50 sessions ate required to justify buying the membership.


Hope this helped :)
4 0
3 years ago
Read 2 more answers
You are flying from Houston to Chicago. You leave Houston at 7:30 A.M. At 8:35 A.M. you fly over Little Rock, a distance of 455
Irina18 [472]

Answer:How long does it take to fly between Little Rock, AR and Houston, TX? Get the flight duration. Use the calculator to view a map and find flying times between cities. ... Supermodel Coco Rocha back on the runway just 3 months after giving birth ... you can use DistanceCalc.com to get the distance from Little Rock to Houston.

Step-by-step explanation:

7 0
2 years ago
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