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3 years ago

Are these right? if its not can u help me ?

Mathematics

1 answer:

BabaBlast [244]3 years ago

8 0

They're good, Good Job:)

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Tori ran 4/5 Mile in 1/5 hour. write an equation for the distance in miles Y that she ran in X hours if she ran at a constant ra

nirvana33 [79]

Answer:

$y=4x$

Step-by-step explanation:

Let

y ----> the distance in miles

x ----> the time in hours

using proportion

$\frac{y}{x}=\frac{(4/5)}{(1/5)}$

Simplify

$\frac{y}{x}=\frac{4}{1}$

$y=4x$

This is a linear direct variation

The unit rate or speed is the slope of the linear equation

The unit rate is 4 miles/hour

6 0

3 years ago

"A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bill

kolbaska11 [484]

Answer:

p=1

Step-by-step explanation:

Given that a day care program has an average daily expense of $75.00. The standard deviation is $5.00.

Sample size = 64

Std error of sample = $\frac{5}{\sqrt{64} } \\=0.625$

Thus sample mean will follow normal with

(75, 0.625)

Required probability

= $P(70$

It is almost a certain event with p =1

8 0

3 years ago

Read 2 more answers

Simplify: (sin θ − cos θ)^2 − (sin θ + cos θ)^2 A) −4sin(θ)cos(θ) B) 2 C) sin^2 θ D) cos^2 θ

N76 [4]

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

3 0

4 years ago

Please help easy stuff.......

nataly862011 [7]

To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.

So, for the first function, you have

$T(x) = -x-2 \implies T(-4) = -(-4)-2 = 4-2 = 2$

The name of the variable is obviously irrelelvant, so the same goes for the second function:

$w(x) = 14-6x \implies w(-3) = 14-6\cdot(-3) = 14 + 18 = 32$

3 0

3 years ago

Read 2 more answers

Solve the following proportion for x. 3/13 = x/5 Round your answer to the nearest tenth.

anastassius [24]

To solve, isolate the x. Cross multiply

3/13(13)(5) = x/5(5)(13)

3(5) = (13)x

Simplify

13x = 15

Isolate the x. Divide by 13.

13x/13 = 15/13

x = 15/13

x = 1.2

1.2 is your answer

hope this helps

8 0

3 years ago