1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Stolb23 [73]
3 years ago
13

Find the x Please help me and show how you got it :)

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.

  (x +5)/15 = (5x +1)/35

Multiplying by 105, we have ...

  7(x +5) = 3(5x +1)

  7x +35 = 15x +3 . . . . . eliminate parentheses

  32 = 8x . . . . . . . . . subtract 7x+3 from both sides

  4 = x . . . . . . . . divide by 8

You might be interested in
In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa
arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

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

<em>The significance level is 0.05.</em>

<em>The data is:</em>

<em>Brand X: 91, 100, 88, 89</em>

<em>Brand Y: 99, 96, 94, 99</em>

<em>Brand Z: 83, 88, 89, 76</em>

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

H_0:\mu_x=\mu_y=\mu_z

Alternative hypothesis: the means are not equal

H_a: \mu_x\neq\mu_y\neq\mu_z

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33

Then, we calculate the mean standard error (MSE):

MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91

The MSB is then:

s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172

Now we calculate the F statistic as:

F=MSB/MSE=172/23.78=7.23

The degrees of freedom of the numerator are:

dfn=a-1=3-1=2

The degrees of freedom of the denominator are:

dfd=N-a=3*4-3=12-3=9

The P-value of F=7.23, dfn=2 and dfd=9 is:

P-value=P(F>7.23)=0.01342

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0
3 years ago
A cooler measures 30 cm wide, 30 cm long, and 25 cm tall. Which is the correct unit of measurement to use when describing the am
Vikentia [17]
The correct answer is B. cm3

This is saying "centimeters cubed", and is true because you are multiplying 3 dimensions of centimeters, width*length*height, to get the answer. Thus, you are multiplying the numbers <em>and </em>the units. 30*30*25 and cm*cm*cm
3 0
3 years ago
Please please help me I will give brainileist
Temka [501]

Answer:

26

Step-by-step explanation:

Average = all the numbers added together then divided by the amount of numbers in the equation

21+24+25+25+26+26+26+26+27+29= 255

Since there are ten numbers in this equation, divide the sum by 10

25.5

round up

26

7 0
2 years ago
If f(x) = 3x + 2 and g(x) = x^2 + 1, which expression is equivalent to (g(f(x))?
love history [14]
<span>Whenever we are given one function and must calculate a funciton of the funciton, such as g(f(x)) in this case, we simply substitute the second function, f(x) in this case, in the first function, g(x) in this case, wherever the first function has a variable. Therefore, g(f(x)) = (3x + 2)^2 + 1 g(f(x)) = 9x^2 + 12x + 4 + 1 g(f(x)) = 9x^2 + 12x + 5</span>
7 0
3 years ago
Multiply or divide as indicated (a+b)^9 / (a+b)^4
Allushta [10]
I believe (a+b)^5 would be the answer
5 0
2 years ago
Other questions:
  • \You want to find out the favorite subjects of students at your school. Which plan describes a good sample?
    12·2 answers
  • PLEASE HELP ME FAST I NEED HELP
    13·1 answer
  • In 20 words or fewer, how many solutions does x^2 -36=0 have?What values of x make the equation true?
    5·1 answer
  • find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the la
    11·1 answer
  • The table below shows an inequality and a number by which to divide both sides.
    9·2 answers
  • Select all the expressions that represent the area of the large, outer rectangle in figure A.
    5·2 answers
  • Choose Yes or No to tell whether each value of p is a solution for this inequality.
    7·1 answer
  • P(x)=2x^2+4x+2<br>please say the answer fast I have an activity​
    11·1 answer
  • If the sides of this square are increased by 1 inch each, how would the perimeter change? What would it change to?
    12·1 answer
  • Rewrite each expression without using absolute value notation.<br><br> |x-y| if x&gt;y
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!