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never [62]
3 years ago
5

When a customer places an order at Derin's bakery, there is an 85% probability that the order will include some kind of dessert.

One day, 7 customers place orders at Derin's bakery. Assuming that each order is equally likely to include dessert, what is the probability that at least order will not include dessert? Round your answer to the nearest hundredth.
Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

0.68

Step-by-step explanation:

The probability that the order will include some kind of dessert is p=0.85 and the probability that the order will not include some kind of dessert is q=1-p=1-0.85=0.15.

First, find the probability that all 7 orders include some kind of dessert:

Pr_1=C_7^7p^7q^{7-7}=p^7=(0.85)^7.

Then the probability that at least order will not include dessert is

Pr_2=1-Pr_1=1-(0.85)^7\approx 0.68

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The sum of two consecutive numbers is -165. Find the value of the smaller number.
Svetllana [295]

Answer:

-83

Step-by-step explanation:

x+(x+1)=number

x+(x+1)=-165

2x+1=-165

-1         -1

2x=-166

/2     /2

x=-83

We can check our work by adding -83+-82=-165 because -83 would be the smaller number.

-83.

7 0
2 years ago
| 3. Find the Area of the triangle.<br> 8.6 yd<br> 10.9 yd
Nitella [24]

Given:

The base of the triangle = 8.6 yd

The height of the triangle = 10.9 yd

To find the area of the triangle.

Formula

The area of a triangle with b as base and h as height is

A=\frac{1}{2}bh

Now,

Taking, b= 8.6 and h = 10.9 we get,

A=\frac{1}{2}(8.6)(10.9) sq yd

or, A= 46.87 sq yd

Hence,

The area of the given triangle is 46.87 sq yd.

7 0
2 years ago
Read 2 more answers
The waitress and the hostess at a restaurant share the tips at the end of the shift. The average amount earned in tips between t
Hitman42 [59]
The waitress gets 45/75   = 3/5  of the tips 

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8 0
3 years ago
The sum of the measures of three adjacent angles is 150°. The measures of the angles are in the ratio of ​1:2:3. What is the mea
stellarik [79]

Answer:

14•4°

step by step explanation:

ratio=1:2:3=6

angles in degree=150°

6/150°×360°(simplify)

6/5°×12°

=72°/5°

=14•4°

The largest angle=14•4°

Thanks hope it helps

8 0
3 years ago
Express 10.9090909091... as a rational number, in the form pq where p and q are positive integers with no common factors.
Alexeev081 [22]
Firts, Let x be the repeated decimal that we are trying to convert , so x=10.9090909090 equation (1)

Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
100x=1090.90909090 (2)

Subtract equation (1) from equation (2):
100x-x=1090.90909090-10.90909090
99x=1080

Solve for x
x= \frac{1080}{99}

We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>\frac{1080}{99}.
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3 years ago
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