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2 years ago

In circle A shown below, the measure of ∠BAD is 148°:

Mathematics

2 answers:

zimovet [89]2 years ago

5 0

Answer:

Step-by-step explanation:

Remember that the subtended arc of a central angle has equal measure.

So, in this case the angle is 148°, that means the arc BD is 148°.

Now, if arc BC is 105°, it means the measure of arc CD is the difference

$arc(CD)=148\°-105\°=43\°$

Therefore, the right answer is 43°.

Bond [772]2 years ago

3 0

43 i alredy learned that in school

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A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number

serg [7]

Answer:

The probability distribution is

X : 0 1 2

f(X) : 2/7 4/7 1/7

Step-by-step explanation:

Let x is the number of defective sets purchased by the hotel.

Total number of television sets = 7

Total number of defective television sets = 2

Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.

If X=0,

$P(X=0)=\frac{^5C_3}{^7C_3}=\frac{10}{35}=\frac{2}{7}$

If X=1,

$P(X=1)=\frac{^5C_2\cdot ^2C_1}{^7C_3}=\frac{10\cdot 2}{35}=\frac{4}{7}$

If X=2,

$P(X=2)=\frac{^5C_1\cdot ^2C_2}{^7C_3}=\frac{5\cdot 1}{35}=\frac{1}{7}$

The probability distribution is

X : 0 1 2

f(X) : 2/7 4/7 1/7

The probability histogram is shown below.

3 0

2 years ago

Emma calculated the slope of the downhill hike to be . Her work is shown below. Determine whether her calculation was correct or

Greeley [361]

Answer:

Emma made a mistake. The slope should be -40.

Step-by-step explanation:

<u>Pair of points (x, y):</u>

(165, 900) and (180, 300)

<u>Slope formula:</u>

m = (y₂ - y₁)/(x₂ - x₁)

<u>Calculate the slope:</u>

Slope = (300 - 900)/(180 - 165) = -600/15 = -40

4 0

2 years ago

(40pts) Mr. Green had 200 dollars and Mrs.Green had 180 dollars. After they each bought the same t-shirt, the ratio of the numbe

yanalaym [24]

Answer:

The t-shirt cost $23.33.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac

EastWind [94]

So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon

8 0

2 years ago

A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

Ahat [919]

Answer:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$