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Ber [7]
3 years ago
7

How many solutions does 0.5(x−3)=3x−2.5 have?

Mathematics
1 answer:
Yanka [14]3 years ago
6 0

Answer:

3

Step-by-step explanation:

mark brainliest pls

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(21.23) A study of the effect of exposure to color (red or blue) on the ability to solve puzzles used 42 subjects. Half the subj
Cloud [144]

Answer:

There is enough statistical evidence to say that the means are different.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"The two-sample t statistic for comparing the population means has value (±0.001)."</em>

<em />

The null and alternative hypothesis are:

H_0: \mu_r-\mu_b=0\\\\H_1: \mu_r-\mu_b\neq0

The level of significance is assumed to be α=0.01.

The difference of the sample means is:

M_d=M_r-M_b=9.64-15.84=-6.20

The standard deviation for the difference of the means is:

s_d=\sqrt\frac{s_r^2+s_b^2}{n} } =\sqrt\frac{3.43^2+8.65^2}{21} }=\sqrt{\frac{85.59}{21} }=\sqrt{4.12} =2.03

Then, the t-statistic is:

t=\frac{M_d-(\mu_r-\mu_b)}{s_d} =\frac{-6.20-0}{2.03}= -3.05

The degrees of freedom are:

df=n_r+n_b-2=21+21-2=40

With 40 degrees of freedom the t-critial for a significance of α=0.01 is t=±2.705.

As the t-statistic lies in the rejection region, the effect is significant and the null hypothesis is rejected.

There is enough statistical evidence to say that the means are different.

7 0
3 years ago
Daniela is a stain glass artist; she created the window below for her living room. What is
OLga [1]
The window has a shape of a semi-circle (half of a circle).

We know the diameter d = 12 ft.

The area of a (complete) circle is given by the formula:
A = π × r²

The radius can be found by halving the diameter:
r = d ÷ 2
  = 12 ÷ 2
  = 6 ft

Therefore the area of the circle will be:
<span>A = π × r²
    = 3.14 × 6</span>²
    = <span>3.14 × 36
    = 113.04 ft²

And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
   = 56.52 ft²

Hence, the area of the window will be 56.52 ft².
3 0
3 years ago
A quiz has thirty questions whose answers can only be correct or incorrect.
satela [25.4K]

Using a system of equations, it is found that Gina got 22 questions correct in the test.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of questions she got correct.
  • Variable y: Number of questions she got wrong.

The test has 30 questions, hence:

x + y = 30 -> y = 30 - x.

She scored 152 points, hence, considering the value of each question:

8x - 3y = 152.

Since y = 30 - x:

8x - 3(30 - x) = 152

11x = 242

x = 242/11

x = 22

Gina got 22 questions correct in the test.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
What is 1 1/3 as a improper fraction
Mumz [18]
Okay so for this all you have to do is add 1 to 1/3.

However, to do this you first need to convert 1 into a fraction.

1 = 3/3
3/3 + 1/3 = 4/3

Hope this helps :)
8 0
3 years ago
Please help!!! I'm really confused.
olya-2409 [2.1K]

The value of root 10 is between 3 and 3.5

4 0
3 years ago
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