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3 years ago

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A 13-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. Find t

he lengths of both pieces.

1 answer:

Sergio039 [100]3 years ago

4 0

4.5 dont know #imnothelpful

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The area of a square is represented by the expression 16x^4y^8. What is the length of each side of this square

Leona [35]

Answer: $4x^2y^4$

Step-by-step explanation:

Given

The area of the square is $A=16x^4y^8$

Suppose a is the side length of the square

The area of the square is given by

$\Rightarrow A=(\text{side length})^2$

So, we can write

$\Rightarrow a^2=16x^4y^8\\\Rightarrow a=4x^2y^4$

length of each side is $4x^2y^4$

5 0

3 years ago

Which letter has horizontal not vertical symmetry H, W, Y, E

Alex777 [14]

The best answer out of all of that is W if I’m right

8 0

3 years ago

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The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c

kondor19780726 [428]

Answer:

$H_0:\mu = 45$ and $H_a:\mu < 45$

$T = 34.88$

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

$\mu =45$ and $\sigma= 9.1$

This is the null hypothesis i.e.

$H_0:\mu = 45$

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

$H_a:\mu < 45$

Solving (b) and (c): The test statistic (T).

This is calculated using:

$T = \frac{\mu}{\sigma/\sqrt n}$

In this case:

$n = 50$ $\mu =45$ and $\sigma= 9.1$

So:

$T = \frac{45}{9.1/\sqrt{50}}$

$T = \frac{45}{9.1/7.07}$

$T = \frac{45}{1.29}$

$T = 34.88$

Solving (c): Accept or reject null hypothesis

$\alpha = 0.05$

First calculate the degrees of freedom (df)

$df = n - 1 = 50 - 1$

$d f = 49$

From the t distribution table,

At: $d f = 49$ , $\alpha = 0.05$ and $T = 34.88$

the t score is:

$p = 1.676$

$p > 0.05$

<em>So, the null hypothesis is not rejected</em>

7 0

2 years ago

How to write three hundred thousand, five thousand sixty three in standard form

anygoal [31]

300,000 <-- three hundred thousand

5,000 <-- five thousand

63 <-- sixty three

300,000
5,000
63

305,063

305,063 is your answer.

Hope this helps.

3 0

3 years ago

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Substitute the values for a, b, and c into b2 – 4ac to determine the discriminant. Which quadratic equations will have two real

hoa [83]

Answer: $0=2x^2-7x-9\\0=4x^2-3x-1\\0=x^2-2x-8$

Step-by-step explanation:

We know that the standard quadratic equation is ax^2+bx+c=0

Let's compare all the given equation to it and , find discriminant.

1. a=2, b= -7, c=-9

$b^2-4ac=(-7)^2-4(2)(-9)=49+72>0$

So it has 2 real number solutions.

2. a=1, b=-4, c=4

$b^2-4ac=(-4)^2-4(1)(4)=16-16=0$

So it has only 1 real number solution.

3. a=4, b=-3, c=-1

$b^2-4ac=(-3)^2-4(4)(-1)=9+16=25>0$

So it has 2 real number solutions.

4. a=1, b=-2, c=-8

$b^2-4ac=(-2)^2-4(1)(-8)=4+32=36>0$

So it has 2 real number solutions.

5. a=3, b=5, c=3

$b^2-4ac=(5)^2-4(3)(3)=25-36=-9$

Thus it does not has real solutions.

5 0

3 years ago

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