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3 years ago

What is the greatest whole number that rounds to 67,400?What is the least whole number?

1 answer:

3 0

The greatest whole number that rounds to 7,400 would be 7,399. This is because there is no number that is larger than 7,399 that would round up to 7,400, since 7,400 is the next number.

The least whole number that rounds to 7,400 would be 7,401. This is because there is no number that is less than 7,401 that would round up to 7,400, since 7,400 is the next number.

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If a celebrity charges $0.125 million for a 5 second commercial, how much will he be paid for a 45-second appearance?

Nitella [24]

I got a. I multiplied 0.125 by 45 and got 5.625. I then divided 5.625 by five an got 1.125. I'm not really sure about my answer, so I did it another way. I divided .125 by five and got .025 so I multiplied that by 45 and got 1.125. I multiplied 1.125 by 1000 and got A.

4 0

2 years ago

F(x) = -3x+17 and g(x) = x^2 -6 find g(5)-f(5)

aniked [119]

Answer:

For the given functions, the value of g(5)-f(5) = 17

Step-by-step explanation:

Here, the given functions are:

f(x) = -3x + 17

$g(x) = x ^2 - 6$

So, f(5) = -3(5) + 17

= -15 + 17 = 2

And $g(5) = (5)^2 - 6 = 25 - 6 = 19$

So, f(5) = 2 and g(5) = 19

⇒g(5) - f(5) = 19 - 2 = 17

Hence, for the given functions, the value of g(5)-f(5) = 17

3 0

2 years ago

At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equat

Step2247 [10]

Answer:

$y=8x-781$

Here, $x$ represents temperature and $y$ denotes rate of chirping per minute.

Step-by-step explanation:

Let $x$ represents temperature and $y$ denotes rate of chirping per minute.

At $106$ °F, a certain insect chirps at a rate of $67$ times per minute.

Take $(x_1,y_1)=(106,67)$

At $108$ °F, they chirp $83$ times per minute.

Take $(x_2,y_2)=(108,83)$

Slope intercept form:

$y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781$

3 0

3 years ago

A publisher reports that 30% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

Ierofanga [76]

Answer:

Test statistic = - 2.29

Pvalue = 0.0110

Step-by-step explanation:

The hypothesis :

H0 : p = 0.3

H1 : p < 0.3

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 0.2

Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110

Z = - 0.1 / √0.0019090

Z = - 0.1 / 0.0436931

Z = - 2.29

Test statistic = -2.29

The Pvalue :

P(Z < -2.29) = 0.0110

4 0

2 years ago

A pair of tangents to a circle which is inclined to each other at an angle of 60 degree are drawn at ends of two radii. The angl

Sever21 [200]

Answer:

The angle between these radii must be 120º.

Step-by-step explanation:

According to Euclidean Geometry, two tangents to a circle are symmetrical to each other and the axis of symmetry passes through the center of the circle and, hence, each tangent is perpendicular to a respective radius. We represent the statement in the diagram included below.

Then, we calculate the angle of the radius with respect to the axis of symmetry by knowing the fact that sum of internal angles within triangle equals 180º. That is to say:

$\theta = 180^{\circ}-90^{\circ}-30^{\circ}$

$\theta = 60^{\circ}$

And the angle between these two radii is twice the result.

$\theta' = 2\cdot \theta$

$\theta' = 120^{\circ}$

The angle between these radii must be 120º.

5 0

2 years ago