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Anon25 [30]
2 years ago
12

Dorothy Wagner is currently selling 90 "I ♥ Calculus" T-shirts per day, but sales are dropping at a rate of 7 per day. She is cu

rrently charging $7 per T-shirt, but to compensate for dwindling sales, she is increasing the unit price by $1 per day. How fast, and in what direction, is her daily revenue currently changing?
Mathematics
1 answer:
TEA [102]2 years ago
6 0
She will have to add 3 more dollars so 3 more days
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A professor surveys his students about their opinions on how well he taught the course. He puts this survey on the last page of
natima [27]
Response/ NonResponse: Some students might be too tired to answer the question or in converse,  a student might feel that his or her grade might be reflected on the survey since it is not anonymous, he or she might sugarcoat the answer. (incorrect response bias)
6 0
2 years ago
Read 2 more answers
The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 3
viva [34]

Answer:

119.45 m

Step-by-step explanation:

Given:

When angle of elevation of the sun changes from 58° to 36° the length of shadow of a pole increases by 90 m.

To find:

Length of pole = ?

Solution:

Kindly refer to the attached image.

\triangle ABC represents the 1st angle of elevation of sun i.e.  58°

\triangle ABD represents the 2nd angle of elevation of sun i.e.  36°

Change in shadow is represented by CD = 90 m

Let height of pole, AB = h m

Let side BC = x m

Now, let us apply tangent rules in \triangle ABC, \triangle ABD one by one:

tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan58^\circ=\dfrac{AB}{BC}\\\Rightarrow tan58^\circ=\dfrac{h}{x}\\\Rightarrow x = 0.624h ..... (1)

tan36^\circ = \dfrac{h}{x+90}

Putting value of x using equation (1):

tan36^\circ = \dfrac{h}{0.624h+90}\\\Rightarrow 0.726\times 0.624h+0.726\times 90 = h\\\Rightarrow h-0.453h =65.34\\\Rightarrow \bold{h = 119.45\ m}

119.45 m is the height of pole.

7 0
2 years ago
PLEASE HELP WILL GIVE BRAINLIEST
nata0808 [166]

Answer:

234.25 miles

Step-by-step explanation:

19+18+17+16+15+14+13+12+10+9+8+7+6+5+4+3+2+1=179

5+(20-1)*5+0.75*179

5+19*5+134.25

5+95+134.25

100+134.25

234.25

5 0
2 years ago
A poll found that 5% of teenagers (ages 13 to 17) suffer from arachnophobia and are extremely afraid of spiders. At a summer cam
brilliants [131]

Answer:

a) Calculate the probability that at least one of them suffers from arachnophobia.

x = number of students suffering from arachnophobia

= P(x ≥ 1)

= 1 - P(x = 0)

= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰ ]

= 1 - (0.95)¹¹

= 0.4311999 = 0.4312

b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666

=  P(x = 2)

=  (¹¹₂) x (0.05)² x (0.95)⁹

where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55

= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867

c) Calculate the probability that at most 1 of them suffers from arachnophobia?

P(x ≤ 1)

= P(x = 0) + P(x = 1)    

= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]

= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981

4 0
2 years ago
olivia purchases gifts for mothers day. thev first is a pair of sunglasses for $16.35 and the second is a bracelet . her total i
mash [69]

Answer:

$23.40

Step-by-step explanation:

You have to subtract $39.75 by $16.35 as $39.75 is the total and we have to find out how much the bracelet is. There is also no regrouping.

7 0
2 years ago
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