Which is the following is a possible solution for the inequality? x+7<10
Answer:
[tex]x + 7 < 10 \\ x < 10 - 7 \\ x < 3[/tex]
3. A random sample of 100 people was taken. There were sixty people who favored Brand A. We are interested in determining whether or not the proportion of the population in favor of Brand A is significantly more than 55%. At a 0.05 level of significance, it can be concluded that the portion of the population in favor of Brand A is ____. a. Significantly greater than 60% b. Not significantly greater than 55% c. Not significantly greater than 60% d. Significantly greater than 55% e. None of the above
Testing the hypothesis, it is found that the correct option is:
b. Not significantly greater than 55%.
At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:
[tex]H_1: p < 0.55[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]
[tex]z = 1.01[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.
Looking at the z-table, z = 1.01 has a p-value of 0.8438.
1 - 0.8438 = 0.1562.
The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.
A similar problem is given at https://brainly.com/question/24330815
An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation
Answer:
a sign
Step-by-step explanation:
Write the Natural numbers after 10,999,11,009,11,001
Answer:
The next three natural numbers after 10999 are 11000,11001, and 11002.
Step-by-step explanation:
Write first natural number after 10999:
10999 + 1 = 11000
Write second natural number after 11000:
11000 + 1 = 11001
Write the third natural number after 11001:
11001 + 1 = 11002
Hence, the next three natural numbers after 10999 are 11000, 11001, and 11002.
Determine the slope of the line 8x – 4y - 9 = 0.
О.
O2
03
04
Answer:
The slope in this equation is 2x, so answer is 2.
Step-by-step explanation:
8x-4y-9=0
-8x -8x
-4y-9 = -8x
+9 +9
-4y = -8x+9
Divide by 4 on both side to have y by itself and you get
y = 2x - 9/4
For which of the following equations is x = -4 a solution?
Answer fast, please!!!
According to distributive property
[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 6.7 \: (8x \: + \: 9)[/tex]
[tex]{{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 53.6x \: + \: 60.3[/tex]
Hence , Option D is the correct answer.
1/3 x 2/5 in simplest form
Answer:
2/15
Step-by-step explanation:
1/3 x 2/5
= ( 1 x 2 ) / ( 3 x 5 )
= 2/15
Answer:
2/15
Step-by-step explanation:
1/3*2/5
(1*2)/(3*5)
2/15
Second angle of a triangle is 10 degree larger than first angle. Third angle is 10
larger than second angle. Find the smallest angle of the triangle.
someone plz help me asap I will make you brainlist
Alita wants only one green pepper. the price is three for $1.48 how much will one pepper cost?
Answer:
$0.493
Step-by-step explanation:
1.48 divided by 3
a rectangular prism has a length of 7.5m a height of 5m, and a volume of 225m³?
which steps are correct to find the width of prism? check all that apply.
Answer:
I'm too lazy to use a calculator but I'll explain the steps to you
Step-by-step explanation:
so basically all you have to do is you know that
volume=length*with*height
we already have the length and height
so do 7.5*5 on your calculator for me
and then divide that answer by 225
and then you will get your answer
excuse me for being lazy but at least I gave you your answer it's 4 am here
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve for x: 7x = 4x + 27
x =
Answer:
x = 9
Step-by-step explanation:
Step 1: Subtract 4x from both sides.
[tex]7x - 4x = 4x + 27 - 4x[/tex] [tex]3x = 27[/tex]Step 2: Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{27}{3}[/tex] [tex]x = 9[/tex]Step 3: Check if solution is correct.
[tex]7(9) = 4(9) + 27[/tex] [tex]63 = 36 + 27[/tex] [tex]63 = 63[/tex]Therefore, x = 9.
what is the equivalent fraction of 6/20 with a denominator of 10
Answer:
3/10
Step-by-step explanation:
I need the answer for this
Answer:
it is either f or h
Who ever answers first will be marked brainliest
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x≥9
Interval Notation:
[9,∞)
Step-by-step explanation:
Help with question thanks
Step-by-step explanation:
horizontal asymptote y=0
the graph is in the image above
range[-1, infinity)
domain(-infinity, infinity)
The function f(x) is shown in this graph.
The function g(x) = -2x - 5.
Compare the slopes and y-intercepts.
A. The slopes are different but the y-intercepts are the same.
B. Both the slopes and the y-intercepts are different.
C. The slopes are the same but the yintercepts are different.
D. Both the slopes and the y-intercepts are the same.
The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.
How to compare the slope and the y-intercept?The function g(x) is given as:
g(x) = -2x - 5
A linear equation is represented as:
y = mx + b
Where m represents the slope, and b represents the y-intercept.
So, the slope of the function g(x) is -2 and the y-intercept is -5
For the function f(x), the slope is calculated using:
m =(y2 -y1)/(x2 - x1)
Using the points on the graph, we have:
m =(3 - 1)/(1 - 0)
Evaluate
m = 2
The line of the function f(x) cross the y-axis at (0,3);
So, its y-intercept is 3
Hence, both functions have different slopes and different y-intercepts
Read more about linear functions at:
https://brainly.com/question/14323743
The volume of the cube shown below is 1000 cm". What is the length side, x of the cube in centimeters?
resnanse)
Answer: x = 10
Step-by-step explanation:
The formula to find the volume of a cube is as following:
V = x³
Since we already know the volume, let's substitute it in the formula.
1000 = x³
To find x, we should do the cube root on each side.
∛1000 = ∛x³
x = 10
PLEASE HELP
How would Newton’s second law of motion impact the fitness routine of someone who is significantly overweight? Is there any type of fitness activity that a significantly overweight person could do where Newton’s second law of motion would not be a factor?
Answer: The rate of change of momentum of a body over time is directly proportional to the force applied and occurs in the same direction as the applied force.
We can write the law as:
Where F is a force, and P is the momentum.
Remember that the momentum is defined as the quantity of motion, such that:
P = M*V
Where M is the mass of the moving object and V is the velocity of the moving object.
Or we can write the second law as:
F = M*a
M = mass
a = acceleration
Happy To Help ;)
Step-by-step explanation:
Find the unknown number in the equation 4 x 12 = 6 x n.
Answer:
n = 8
Step-by-step explanation:
hope this helps
Choose the system of inequality's that matches the graph
Jon has 32 trading cards. He
puts the cards into piles of 8 cards. How many piles
does he make?
Answer:
4
Step-by-step explanation:
Take the number of cards and divide by the number of cards to determine the number of piles
32/8
4
There are 4 piles
Answer:
4 piles
Step-by-step explanation:
32 ÷ 8 = 4
8 cards in a pile. 8, 16, 24 ,32.
What is the value of k?
2k+9=7−3k
k=−2
k=−0.4
k = 2
k = 3.2
PLEASE HELP !!!!!
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]k = -0.4[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]2k+9=7-3k\\\rule{150}{0.5}\\\rightarrow 2k + 9 = 7-3k\\\\\rightarrow 2k + 3k + 9 = 7 - 3k + 3k\\\\\rightarrow 5k + 9 = 7\\\\\rightarrow5k + 9 - 9 = 7 - 9\\\\\rightarrow 5k = -2\\\\\rightarrow \frac{5k=-2}{5}\\\\\rightarrow \boxed{k = -\frac{2}{5} = -0.4}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
I don’t know what to do
Answer:
B
Step-by-step explanation:
Solve the inequality x/5-3<0
Answer:
x < 15
Step-by-step explanation:
[tex]\frac{x}{5}[/tex] - 3 < 0 ( add 3 to both sides )
[tex]\frac{x}{5}[/tex] < 3 ( multiply both sides by 5 to clear the fraction )
x < 15
An item costs 490before tax, and the sales tax is39.20 .
Find the sales tax rate. Write your answer as a percentage.
Answer:
8% is the sales tax rate
Step-by-step explanation:
I'm not the best with math but the way I found the answer was by first using my local sales tax rate and determining how much the tax would be.
490 * 8.75% = 42.875
Knowing that this amount was higher than in the equation, I lowered the sales tax to 8% (0.08)
490 * 8% = 39.2
Hope this was somewhat helpful
marking people brainliest for random LOL comment if you wanna be marked brainliest
LOL, i really need points.
2/3 : 2/6 as a unit rate
Answer:
3/1
Step-by-step explanation:
please help need this done by tomorrow thank you [PHOTO]
Answer:
Step-by-step explanation:
The two angles must add to 180
(4x-2)+(3x+14)=180
7x+12=180
7x=168
x=24