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zzz [600]
3 years ago
5

Make f the subject of the formula c=

frac{5(f-32)}{9}" alt="\frac{5(f-32)}{9}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

f=\frac{9c}{5}+32

Step-by-step explanation:

c=\frac{5\left(f-32\right)}{9}

Switch sides:

\frac{5\left(f-32\right)}{9}=c

Multiply both sides by 9:

\frac{9\times5\left(f-32\right)}{9}=9c

5\left(f-32\right)=9c

Divide both sides by 5:

\frac{5\left(f-32\right)}{5}=\frac{9c}{5}

f-32=\frac{9c}{5}

Add 32 to both sides:

f-32+32=\frac{9c}{5}+32

f=\frac{9c}{5}+32

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A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 36 grams. The heavie
4vir4ik [10]

Answer:

Step-by-step explanation:

Given that:

mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:

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

Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.

From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87

We substitute z = 0.88 in the z score equation to find the raw score. Therefore:

z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\

x ≅ 507 grams

Therefore 19% of fruits weigh more than 507 grams

7 0
3 years ago
Gina works at a diner. She earns $6 each hour plus tips.In one week,she worked 37 hours a week and earned $43 in tips.How much d
oksian1 [2.3K]
The answer is $265 (how much did she make altogether)

The equation is x=6h+6


5 0
3 years ago
The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time
cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

1\leq t\geq \sqrt{2}

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

h =20-5t^{2}-----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height h = 15m  

Put height value in equation 1

15 =20-5t^{2}

5t^{2} =20-15

5t^{2} =5

t^{2} =1

t =\pm1

We know that the time is always positive, therefore t=1

when the stuntman is 10m above the ground.

height h = 10m  

Put height value in equation 1

10 =20-5t^{2}

5t^{2} =20-10

5t^{2} =10

t^{2} =\frac{10}{5}

t^{2} =2

t=\pm\sqrt{2}

t=\sqrt{2}

Therefore ,time interval of camera film him is 1\leq t\geq \sqrt{2}

7 0
3 years ago
What is the length of the actual dining room?
Schach [20]
120 inches.

This is because to find the scale factor, you have to take the square root of the area scale. This will give you 30-1 ratio. Then multiply the 4 by that number. 
6 0
3 years ago
Please help what does B equal and C equal
ycow [4]

Answer:

C=47

B=133

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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