Answer:
y=2x+5
0=2x+5
-2x=5
x=-2.5
Proportionally means
2 fractions (ratios) are NOT equal
2 fractions (ratios) are equal
Answer:
2 fractions are equal
Step-by-step explanation:
We say that two quantities are proportional if one is always the same multiple of the other.
Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,
[tex]\frac{2}{3}=\frac{4}{6}[/tex]
A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer and explanation:
Null hypothesis: p is not 54%
Alternative hypothesis : p is equal 54%
First find standard deviation
Standard deviation is:
σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033
The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121
Therefore we can conclude that proportions are not same and fail to reject the null hypothesis
how many 1/2 kg packets of salt can you obtain from 18 kg of salt
Answer:
36
Step-by-step explanation:
18 × 2 = 36
Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg
A diet claims to help lose weight. A dietician wants to see if a particular diet helps lose weight. 120 people were on the diet for 6 months. After 6 months, the sample mean of weight loss was 0.8 pound with sample SD of 2 pounds. The distribution is more or less normal. What kind of hypothesis testing do we use
Answer:
d. t-test for means
Step-by-step explanation:
Options are "a. z-test for proportions, b. z-test for means, c. none of the other three answers, d. t-test for means"
Sample size = n = 120
Sample mean = x = 0.8
Sample standard deviation = s = 2
Claim: A particular diet helps loss weight.
Hypothesis test
The null and alternative hypothesis is
H0 : μ = 0
Ha : μ < 0
Now, when population standard deviation is unknown we use t-test otherwise use z-test. So, the kind of hypothesis testing that we use is t-test for means.
Find two consecutive whole numbers that 83 lies between.
Answer:
82, 84
Step-by-step explanation:
Which Fraction is equivalent to 3/12?
3/4
1/4
3/36
Answer:
1/4
Step-by-step explanation:
3/12 ÷3= 3÷3=1 and 12÷3=4
Gabe Amodeo, a nuclear physicist, needs 90 liters of a 50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of 50% acid solution?
Answer:
You need two equations: one for solution amounts and one for alcohol amounts.
Step-by-step explanation:
90 = X + Y
45 = (0.6)/X + (0.3)Y
Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.
From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get
X = 30 liters and Y = 60 liters.
9. Which of the following relations is a function?
A. {(-1, - 4), (-1,0), (- 1,5), (- 1, 7), (- 1,9)}
B. {(-2, - 4), (-1, 7), (1, - 1), (1, 1), (3, 9)}
C. {(-4, 9), (- 3, 1), (- 2, 3), (- 2, 12), (0, 6)
D. {(0, - 4), (1, - 4), (2, 4), (3, 4), (4, - 4)}
The relation which is a function is given by the set relation
A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { 0 , 1 , 2 , 3 , 4 }
Now , the values of y = { 4 , -4 , 4 , 4 , -4 }
And , relation is a function if and only if there exists one value in the range for every domain value.
So , the domain are all having significant and definite ranges
Therefore , the relation is A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
Hence , the function is denoted by A = { ( 0 , 4 ) , ( 1 , -4 ) , ( 2 , 4 ) , ( 3 , 4 ) , ( 4 , -4 ) }
To learn more about function rule click :
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I don’t get this please solve it please
Answer:
g=15.04
Step-by-step explanation:
g=4.7×3.2=15.04
Answer:
g/=15.03
Step-by-step explanation:
i hope it's correct in sorry if not
Help please due today!!!
Answer:
C
Step-by-step explanation:
Ivy says:
f(1) = -100
f(n) = -100 + 50( n - 1 )f(1) = -100 + 50( 1 - 1 )f(n) = -100 + 50(0 ) anything times 0 is 0!f(1) = -100You do that with the other numbers in the sequence. 2 = -50, 3 = 0 and so on
When you to n as 1, 2, and 3 they seem to all check out. So Ivy is right!
Andrey says:
f(1) = -100f(1)= -150 +50(1)f(1) = -150 + 50f(1) = -100That's a little suspicious don't you think that both answers are right..
Essentially they are both the same equation!
So let's simplify Ivy's equation!
f(n) = -100 + 50( n - 1 )
f(n) = -100 + 50n - 50
f(n)= -150 +50n
Which is basically Andrey's equation and they both seem to be right for the sequence! So both of them are right!
Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2
Answer:
Yes
Step-by-step explanation:
3(x+5.50)-3
3x+16.50)-3
-3(3x+16.50)
(Click the Picture for my question) and thank you!
Answer:
D
Step-by-step explanation:
By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:
[tex]\displaystyle \pi=\frac{C}{d}[/tex]
In fact, if you multiply both sides by the diameter d, you can see that:
[tex]C=\pi d[/tex]
Which is the formula for circumference you've been commonly taught.
6(2x - 5) = -(x + 4)
[tex]6(2x - 5) = - (x + 4)[/tex]
[tex]12x - 30 = - x - 4[/tex]
[tex]13x = 26[/tex]
[tex]x = 2[/tex]
Answer:
x = 2
Step-by-step explanation:
Solve for x:
6(2x - 5) = -(x + 4)
Use the distributive property.
12x - 30 = -(x + 4)
12x - 30 = -x - 4
Add x to both sides.
13x - 30 = -4
Add 30 to both sides.
13x = 26
Divide both sides by x.
x = 2
Your final answer would be x = 2
What is the range? The range is __
Answer:
8
Step-by-step explanation:
Take the biggest value and smallest value, and subtract the smallest value from the biggest value:
9-1=8
The range is 8
The numbers provided are 1, 2, 3, 4, and 9. Subtract the greatest from least,
9 - 1, and your answer is 8
Is anyone able to check this for me?
Pyragtheom theory
8th grade math
Answer:
Those are both correct
Step-by-step explanation:
To solve for the triangle 12^2+10^2=c^2, and for the other question, you are correct because the hypotenuse is NEVER the shortest side.
At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak.
Which statements comparing the two rentals are correct?
Select all that apply.
A. For 1 hour, both companies charge the same amount
B. For 1 hour, company A charges more than company B
C. For 2 hours, both companies charge the same amount
D. For 3 hours, company A charges more than company B
E. For 4 hours, company B charges more than company A
Answer:
a,c,e
Step-by-step explanation:
Answer:
B, C, & E
Step-by-step explanation:
Pls help will give brainlest to first person who answer correct 50 points
Answer:
-25/3
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
x = - 25/3Step-by-step explanation:
10/3 = x/(-5/2)x = 10/3*(-5/2)x = - 25/310 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.
Answer:
99 / 324,870 or 3%
Step-by-step explanation:
there are 12 face cards out of a total of 52 cards
probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]
The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Calculation of the probability:Since 5 cards are drawn at random from a standard deck
Also, we know that
there are 12 face cards out of a total of 52 cards
So here the probability be like
[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]
= [tex]99 / 324,870[/tex]
Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]
Learn more about probability here: https://brainly.com/question/21102470
Which expression has exactly two terms
4n
Ab2
5y2
3x5
Answer: 3x +5
Step-by-step explanation:
I did it
In a random survey of 300 people about the kind of apples they preferred, 178 said they preferred red apples. Based on these results, how many people out of 4500 would say they prefer red apples?
A.1830
B.2670
C.3084
D.4322
Answer:
2670
Step-by-step explanation:
4500/300 = 15
178*15=2670
I need help please.
Answer:
A. 88.75%
Step-by-step explanation:
Tori earned $62.86 as a bonus from her job. She decided to buy as many CDs as possible since they were on sale for $8.80 each. Estimate how many CDs Tori can buy.
Answer:
approximately 7 CDs for her bonus
Answer:
Toris can buy about 7 CDs
Step-by-step explanation:
63 Divided by 9 = 7
Pls help I’m failing math I’ll brainlest
Answer:
z=-9 - 5.4
hope it helps
Step-by-step explanation:
please mark me brainliest
Can someone help, marking Brainly ! Thank you if you do help .
Answer:
in order
y=0
y=1
y=2
y=3
y=4
y=5
What’s the function and domain and range. (1, -2) (-2, 0) (-1, 2) (1, 3)
Answer: Domain:
{
1
,
−
2
,
−
1
}
{
1
,
-
2
,
-
1
}
Range:
{
−
2
,
0
,
2
,
3
}
Step-by-step explanation: The domain is the set of all the values of
x
x
. The range is the set of all the values of
y
y
.
Match the numbers on the left with their equivalent forms on the right.
1. 2/25 46%
2. 23/50 70%
3. 14/20 0.08
4. 90% 0.9
Answer:
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
Step-by-step explanation:
To find the right match, we would divide the fraction on the left and select the value that is the same with the answer gotten.
1. 2/25 = 0.08 = 80%
2. 23/50 = 0.46 = 46%
3. 14/20 = 0.70 = 70%
4. 90% = 90/100 = 0.9
10
Which of the following is the midpoint between (3, 2) and (-3, 4)?
(0, 3)
(0, 3/2)
(6, 3/2)
(-6, 3)
Answer:
(0, 3)
Step-by-step explanation:
(0, 3) is the following is the midpoint between (3, 2) and (-3, 4)
What number is 120% of 16?
Answer:19.2
Step-by-step explanation:
3/5 of the students in a classroom are girls. If there are ten boys in the class, how many total students are there?
15
25
16
20
Answer:
25
Step-by-step explanation:
15=Girls
10=Boys
25 =The total of the number of students