Answer:
30 2/3
Step-by-step explanation:
Choose the justification for each step in the solution to the given equation.
Answer:
addition property of equality, subtraction property of equality, simplified, division property of equality and simplified.
Step-by-step explanation:
Answer:
1 given
2 Combining like terms
3 addition property of equality
4 simplification
5 division property of equality
6 simplification
Step-by-step explanation:
In step 2, the like terms of x and x were combined and simplified to -2x.
In step 3, adding 7 to both sides of the equation to isolate the variable term is justified by the addition property of equality.
In step 4, the constants are combined on each side for simplification.
In step 5, dividing both sides of the equation by -2 to isolate the variable is justified by the division property of equality.
In step 6, simplification results in the solution of x = 4.
when conducting a perpendicular line through point of a line, how can you verify that the line contested is perpendicular?
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
Find the point slope of the line passing through the given points(use the first point (x1,y1)
(-3,4),(2,5)
Answer: y - 4 = 1/5 * (x+3)
Step-by-step explanation:
Two shooters, Rodney and Philip, practice at a shooting range. They fire rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. rounds are selected at random. The sample mean scores of Rodney and Philip are and , respectively. And, their variances are and , respectively. The standard error of the difference between their mean scores is . 13. (Round your answer to two decimal places.) The 95% confidence interval for the difference between the mean scores of Rodney and Philip is
Complete Question
Answer:
a
[tex]SE = 0.66}[/tex]
b
[tex] -3.29 < \mu_1 - \mu_2 < -0.70[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 60
The first sample mean is [tex]\= x _1 = 8[/tex]
The second sample mean is [tex]\= x _2 = 10[/tex]
The first variance is [tex]v_1 = 0.25[/tex]
The first variance is [tex]v_2 = 0.55[/tex]
Given that the confidence level is 95% then the level of significance is 5% = 0.05
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the first standard deviation is
[tex]\sigma_1 = \sqrt{v_1}[/tex]
=> [tex]\sigma_1 = \sqrt{0.25}[/tex]
=> [tex]\sigma_1 = 0.5[/tex]
Generally the second standard deviation is
[tex]\sigma_2 = \sqrt{v_2}[/tex]
=> [tex]\sigma_2 = \sqrt{0.55}[/tex]
=> [tex]\sigma_2 = 0.742 [/tex]
Generally the first standard error is
[tex]SE_1 = \frac{\sigma_1}{\sqrt{n} }[/tex]
[tex]SE_1 = \frac{0.5}{\sqrt{60} }[/tex]
[tex]SE_1 = 0.06[/tex]
Generally the second standard error is
[tex]SE_2 = \frac{\sigma_2}{\sqrt{n} }[/tex]
[tex]SE_2 = \frac{0.742}{\sqrt{60} }[/tex]
[tex]SE_2 = 0.09[/tex]
Generally the standard error of the difference between their mean scores is mathematically represented as
[tex]SE = \sqrt{SE_1^2 + SE_2^2 }[/tex]
=> [tex]SE = \sqrt{0.06^2 +0.09^2 }[/tex]
=> [tex]SE = 0.66}[/tex]
Generally 95% confidence interval is mathematically represented as
[tex](\= x_1 -\= x_2) -(Z_{\frac{\alpha }{2} } * SE) < \mu_1 - \mu_2 < (\= x_1 -\= x_2) +(Z_{\frac{\alpha }{2} } * SE)[/tex]
=> [tex](8 -10) -(1.96 * 0.66) < \mu_1 - \mu_2 < (8-10) +(Z_{\frac{\alpha }{2} } * 0.66)[/tex]
=> [tex] -3.29 < \mu_1 - \mu_2 < -0.70[/tex]
Together, Iris and Ivan weigh 120 pounds. Iris weighs 10 pounds less than Ivan. How much does each child weigh?
Answer:
Iris weighs 55 pounds, Ivan weighs 65 pounds.
Step-by-step explanation:
Divide 120 by 2: 60
Then make the 10 pound difference by adding and subtracting 5 to 60 for each answer: 55 and 65.
Iris = 55 pounds
Ivan = 65 pounds
Let x be Iris and y be Ivan.
x+ y = 120
y-10+ y = 120
2y - 10 = 120
2y = 120 + 10
2y = 130
y = 130/2
y = 65 pounds
x = y-10
= 65-10
x = 55 pounds
HELP PLS I can’t get this one done
Answer:
B
Step-by-step explanation:
Take it one term at a time
Answer: its B
Step-by-step explanation:
[tex]\sqrt[3]{256x^1^0y^7}[/tex]
256 = 2³(2³)(2²)
x^10 = x³(x³)(x³)x
y^7 = y³(y³)y
Good night!
Determine the variables tested in each of the following experiments. If applicable, determine and identify any positive or negative controls. A study is being done to test the effects of habitat space on the size of fish populations. Different sized aquariums are set up with six goldfish in each one. Over a period of six months, the fish are fed the same type and amount of food. The aquariums are equally maintained and cleaned throughout the experiment. The temperature of the water is kept constant. At the end of the experiment, the number of surviving fish are surveyed. A. Independent Variable: B. Dependent Variable: C. Controls:
Answer:
Independent Variable- size of aquariums
Dependent variable - number of surviving fish
Controls: nil
Step-by-step explanation:
In every experiment, the independent variable is manipulated and its effect on the dependent variable is observed as certain factors are kept constant.
In this study, the independent variable is the size of the aquariums. As this factor is manipulated, the number of surviving fish (dependent variable) changed accordingly. There was no mention of a control group in the experiment.
However, temperature, amount of food and type of food were held constant for all the experimental groups.
write three numbers that round to 60,000 when rounded to the nearest ten thousand
Escribe tres números distintos qué sean divisibles por 2,3,5,9,10
Answer: 90, 180, 270
Step-by-step explanation: 90 es divisible por todos esos números. Para obtener dos números más que sean divisibles por esos, simplemente multiplique 90 por 2 y 3.
A sample has an n of 99. What is the df of this sample?
Answer: The correct answer is: " 98 " .
______________________________________
Step-by-step explanation:
______________________________________
In this case, "degrees of freedom" , or "df":
"df" = n - 1 ;
in which: "n = the numeric value of the sample size."
Given: "n = 99" ; we can plug that value into the formula:
"df" = n - 1 = 99 - 1 = 98 .
______________________________________
Ms. Canciano was putting ribbon around a bulletim broard. She used 28 inches of ribbon to go all the way around and knew that the length of her board was 6 inches what is the area of her board
Answer:
48 sq inches
Step-by-step explanation:
Given that,
Ribbon used around a bulletin broard is 28 inches
The length of her board is 6 inches
Let B is breadth of her board. 28 inches is perimeter. The perimeter of rectangle is given by :
P = 2(L+B)
28=2(6+B)
14=6+B
B=8 inches
The area of a rectangle is given by :
A = L×B
A = 8×6
A=48 sq inches
So, the area of her board is 48 sq inches
Anyone know the answer
Answer:
129
Step-by-step explanation:
angle DCE= 180-(12X+15)
12X+15=20X-9
X=3
On a number line, the coordinate of X is 52, the coordinate of Y
is 121, the coordinate of Zis-21 and the coordinate of Wis 25.
Is XY = ZW? Explain your reasoning.
Answer:
No
Step-by-step explanation:
since the magnitude of xy ≠ zw,
|x-y| = xy = |52-121|= 69, |z-w| = zw = |-21-25| = 46
69 ≠ 46
You and your friend start a typing class at the same time. You measure your speed weekly in words per minute (WPM) on a class chart. If the trend continues, after how many weeks can you expect to type as quickly as your friend? What will that WPM be?
A. 6 weeks;28 WPM
B. 6 weeks; 31 WPM
C. 7 weeks;31 WPM
D. 7weeks;34 WPM
Answer:
The correct answer is 7 weeks 34 WPM
Step-by-step explanation:
The number of weeks and words typed will be D. 7weeks;34 WPM
Based on the information given, the formula to calculate my words per minutes = 13 + 3n
The formula to calculate my friend's words per minutes = 20 + 2n
Therefore, we'll equate both equations together and this will be:
13 + 3n = 20 + 2n
Collect like terms
3n - 2n = 20 - 13
n = 7.
Therefore, the WPM will be:
= 13 + 3n
= 13 + 3(7)
= 13 + 21
= 34
The number of weeks and words typed will be 7weeks;34 WPM
Read related link on:
https://brainly.com/question/18314140b
The movies has 4 bathrooms in 16 theaters what is the bathroom to theaters ratio?
Answer:
1 bathroom to 4 theaters
Step-by-step explanation:
Here is 1 and 2 but I need 3 and 4 done ASAP thankssss!
Problem 1
Answers:
A = 2x2B = 2x2C = 3x2D = 2x3E = 3x3----------------------------------------
Explanation:
The size of a matrix is simply the number of rows and the number of columns. Something like 2x3 means we have 2 rows and 3 columns.
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Problem 2
Answers:
[tex]A_{11} = -1\\\\B_{12} = 6\\\\C_{13} = \text{DNE}\\\\D_{13} = 0\\\\E_{34} = \text{DNE}\\\\A_{22} = 0\\\\B_{21} = 5\\\\C_{31} = -5\\\\D_{23} = 4\\\\E_{22} = -7\\\\[/tex]
----------------------------------------
Explanation:
When saying something like [tex]E_{23}[/tex] we are looking at the item in the second row and third column of matrix E.
The acronym DNE stands for "Does Not Exist". It's another way of saying "Undefined". For instance, note how matrix E has only 3 columns. When we write [tex]E_{34}[/tex] we're asking about something in the fourth column, but no such column exists.
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Problems 3 and 4 seem to be cut off because I don't see them on the screenshot.
SIMPLIFY:
√75r2
a. 5√3r
b. 5r√3r
c. NO SOLUTION
d. 5r√3
Answer:
d.5r√3
Step-by-step explanation:
5 and r is common when square root, so,
√5×5×3×r×r
=5r√3
Which power of 10 is equal to 1,000,000?
Answer:
it is 10 to the power of 6, so your answer is 6
Step-by-step explanation:
Can anyone help with this please
Answer:the correct answer is b
Step-by-step explanation:
Took the test also download the app called photo math all I have to do is take the photo of the problem it’s free of charge
What is the answer for 1/2(2a+4)
Answer:
a+2
Step-by-step explanation:
Answer:
the answer is 3a
Step-by-step explanation:
first you have to think about pemdas which means you have to do parenthises first so 2a+4=6a and then 6a multiplied by 1/2 wich eqauls 3 and then you add the a and now you have you have your final answer.
why does paramcium never die
Answer:
the paracium never dies because it keeps on reproducing
Step-by-step explanation:
the paracium lets say it starts as 1
and then taht 1 divides inti
1/2 and 1/2 and that 1/2 turns into 1
and it keeps on dividing and multiplying
Simplify the expression 10+ (a + 9)
Answer:
19+a
Step-by-step explanation:
The linear equation y=-2 is a horizontal line and has an undefined slope true or false
Answer:
False
Step-by-step explanation:
Although it is true that y=-2 is a horizontal line, it does not have an undefined slope. Because it is a horizontal line, it has a slope of 0.
Are the ratios 1:2 and 14:18 equivalent?
Answer:
no
Step-by-step explanation: 1:2 is like half of the whole so basically what i mean is the first number has to be half of the second number for example 2:4 or 4:8
Answer:
No
Step-by-step explanation:
If these ratios were equivalent the second would read 14:24. So if the first ratio was 1:3 the second would read 14:42.
Triangles ABC and DEF are shown above. Write ratio equal to BC/AB.
Which trigonometric ratio does this represent?
Answer:
Step-by-step explanation:
From the picture attached,
From ΔABC,
m∠B = 180° - (m∠C + m∠A)
= 180° - (90° + 32°)
= 180° - 122°
= 38°
Now we have to find the trigonometric ratio of BC and AB from ΔABC,
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(32°) = [tex]\frac{BC}{AB}[/tex]
[tex]\frac{BC}{AB}=0.53[/tex]
Therefore, ratio of BC and AB represents the "sine of angle A".
Give an example of an event that has a probability of 1 (100%).
Answer:
meteor hitting earth
Step-by-step explanation:
not sure of actual probability but i believe one that would cause mass extinction is quite improbable
Slope for (-1,4) (-5,-8)
Answer: M=3
Step-by-step explanation:
It’s timed please help
3.2b-4.7b=3b-3.3
What dose b equal
Answer:
zero
Step-by-step explanation:
What is the least common denominator for 2/7 & 9/10
7 is prime so the least common denominator is 7 times 2 times 5 which is 70.
2 1\2 diveded by3 2\5
Answer:
2
Step-by-step explanation: