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3 years ago

6

Two children want to race around the city block. The length of the block is 80 yards. The width of the block is 60 yards.

2 answers:

kumpel [21]3 years ago

7 0

I thank it is a. yards i am no sure that is right

Degger [83]3 years ago

4 0

The distance run is in yards

Its A

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From her window 5m above the ground, Sherri spots a turtle on the ground at a 34 degree angle of depression. To the nearest tent

Thepotemich [5.8K]

Let y be the distance from the turtle to the base of the building.

tan (34) = 5/y
y = 5 ÷ cos(34)
y = 7.4m

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Answer: The distance is 7.4 meters (Answer A)
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3 0

3 years ago

Ninety-one percent of products come off the line within product specifications. Your quality control department selects 15 produ

Allisa [31]

Answer:

Probability of stopping the machine when $X < 9$ is 0.0002

Probability of stopping the machine when $X < 10$ is 0.0013

Probability of stopping the machine when $X < 11$ is 0.0082

Probability of stopping the machine when $X < 12$ is 0.0399

Step-by-step explanation:

There is a random binomial variable $X$ that represents the number of units come off the line within product specifications in a review of $n$ Bernoulli-type trials with probability of success $0.91$ . Therefore, the model is ${15 \choose x} (0.91) ^ {x} (0.09) ^ {(15-x)}$ . So:

$P (X < 9) = 1 - P (X \geq 9) = 1 - [{15 \choose 9} (0.91)^{9}(0.09)^{6}+...+{ 15 \choose 15}(0.91)^{15}(0.09)^{0}] = 0.0002$

$P (X < 10) = 1 - P (X \geq 10) = 1 - [{15 \choose 10}(0.91)^{10}(0.09)^{5}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0013$

$P (X < 11) = 1 - P (X \geq 11) = 1 - [{15 \choose 11}(0.91)^{11}(0.09)^{4}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0082$

$P (X < 12) = 1- P (X \geq 12) = 1 - [{15 \choose 12}(0.91)^{12}(0.09)^{3}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0399$

Probability of stopping the machine when $X < 9$ is 0.0002

Probability of stopping the machine when $X < 10$ is 0.0013

Probability of stopping the machine when $X < 11$ is 0.0082

Probability of stopping the machine when $X < 12$ is 0.0399

8 0

2 years ago

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original's angles's supplement. what is the

scoundrel [369]

Answer:

72 degrees.

Step-by-step explanation:

If the angle is x degrees its complement is 90-x degrees and it's supplement is 180-x degrees.

4(90-x) = 2/3(180 - x)

360 - 4x = 120 - 2/3 x

360 - 120 = -2/3 x + 4x

240 = -2/3 + 12/3 x

240 = 10/3 x

x = 240 * 3/10

x = 72 degrees.

7 0

2 years ago

An amount of $24,000 is borrowed for 9 years at 6.75% interest, compounded annually. If the loan is paid in full at the end of t

MA_775_DIABLO [31]

38,580 is the full amount of what he has to pay back

4 0

1 year ago

Also these 2 :) determining the vertex and shifts/translations

Mrrafil [7]

Answer:

The answer to your question is below

Step-by-step explanation:

A) f(x) = x² + 4x + 1

Find the vertex

y = x² + 4x + 1

-Subtract 1 in both sides

y - 1 = x² + 4x

-Complete the perfect trinomial square in the right side

y - 1 + (2)² = x² + 4x + (2)²

-Simplify

y - 1 + 4 = (x + 2)²

y + 3 = (x + 2)²

-Find the vertex

V = (-2, -3)

B)

f(x) = x²

g(x) = (x - 4)² - 2 See the picture below

Shifted right 4 units

Shifted down 2 units

6 0

3 years ago