What is the value of the expression below? 2 [32 – (4 – 1)] Enter your answer in the box.

In triangle ABC, m <A=35°, m <B=65°, and c=15. find b round your answer to the nearest tenth

GREYUIT [131]

The answer is 65 because when you add 35+65+15 you get 115 and a triangle is 180 degrees so 180-115=65

5 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

the larger of two positive numbers is 5 more then the smaller. The product of the numbers is 66. find the numbers

Serjik [45]

Answer: 30.5 and 35.5

Step-by-step explanation:

We can use a system of linear equations to find out the answer to this problem. The larger number will be x and the smaller number will be y.

x=y+5

x+y=66

Substitute y+5 in for the bottom equation to get y+5+y=66. Simplify to get 2y+5=66. Subtract 5 from both sides and get 2y=61. Divide by 2 to get y=30.5. This is the smaller number. Add 5 to get the bigger number, which is 35.5

7 0

3 years ago

90 3/7 was a demical

LenKa [72]

90.42857143 or
90.4 to nearest decimal

6 0

3 years ago

Plastic edging for flower beds comes in 50-foot rolls and costs $6.85 per roll. What is the cost to completely edge two rectangu

Klio2033 [76]

Answer:

The cost of edging the flower beds with roll is $41.10.

Step-by-step explanation:

Given,

dimension of rectangular flower bed :

length = 40 ft

width = 15 ft

dimension of circular flower bed :

diameter = 16 ft

cost of each roll = $6.85

We need to find the cost of roll used to cover completely rectangular and circular flower bed.

Solution,

Firstly we will find out the perimeter of the rectangular flower bed.

Since we know that the perimeter of rectangle is equal to twice the sum of its length and width.

framing in equation form, we get;

Perimeter = $2(40+15)=2\times55=110\ ft$

So the perimeter of 2 flower bed = $2\times110 =220\ ft$

Again we will find out the circumference of the circular flower bed.

And we know that the circumference of the circle is equal to pi multiplied with the diameter.

framing in equation form, we get;

Circumference = $\pi\times16=50.24\ ft$

Now the total edge for covering is equal to the sum of the perimeter of two flowerbed and circumference of one circular flower bed.

Total edge = $220+50.24=270.24\ ft$

Here also given that Plastic edging for flower beds comes in 50-foot per roll.

So we will find out the number of rolls required for edging.

For this we will use the unitary method.

50 ft = 1 roll

270.24 ft = number of roll

$\therefore number\ of\ rolls = \frac{270.24}{50}=5.40$

so we can say that there will be 6 rolls required for edging.

also given the cost of 1 roll is $6.85.

So the cost of 6 rolls = $6\times6.85=\$41.10$

Hence The cost of edging the flower beds with roll is $41.10.

6 0

3 years ago