Answer
Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.
Step-by-step explanation:
no step by step explanation
does that help??
The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
1) We have inequalities h > 150 and h < 160 for Lin height.
The height of the Lin varies between 150 cm to 160 cm because:
h ∈ (150, 160)
2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:
h < h' < 164
3) As the inequality for the Lin height: h > 150 and h < 160 or
h ∈ (150, 160)
And h < 164
So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.
Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
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The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to pay more for a yearbook if their names were printed on the front. of the students who were surveyed, 26 of them said they would be willing to pay extra.
with a desired confidence interval of 90%, which has a z*-score of 1.645, what is the margin of error of this survey?
Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:
[tex]n = 80, \pi = \frac{26}{80} = 0.325[/tex]
Then, the margin of error is of:
[tex]M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524[/tex]
More can be learned about the z-distribution at https://brainly.com/question/25890103
Can someone help me please?
Answer:
[tex]\bold{ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}}[/tex]
Explanation:
[tex]\dashrightarrow \ \ \sf 2sin(3\theta) = \sqrt{3}[/tex]
[tex]\dashrightarrow \ \ \sf sin(3\theta) = \dfrac{ \sqrt{3}}{2}[/tex]
[tex]\dashrightarrow \ \ \sf 3\theta = sin^{-1}(\dfrac{ \sqrt{3}}{2})[/tex]
[ your calc should be in radian mode [R] ]
[tex]\dashrightarrow \ \ \sf 3\theta = \dfrac{\pi }{3} , \ \ \dfrac{2}{3} \pi , \ \ \dfrac{7 \pi }{3}, \ \ \dfrac{8\pi }{3}, \ \dfrac{13\pi }{3}, \ \dfrac{14\pi }{3}[/tex]
[tex]\dashrightarrow \ \ \sf \theta = \dfrac{\pi }{9} , \ \ \dfrac{2}{9} \pi , \ \ \dfrac{7 \pi }{9}, \ \ \dfrac{8\pi }{9}, \ \dfrac{13\pi }{9}, \ \dfrac{14\pi }{9}[/tex]
Write equations for the horizontal and vertical lines passing through the point (3,9)
Horizontal line:
Vertical line:
Answer:
Horizontal: y = 9
Vertical: x = 3
Step-by-step explanation:
Any point is given in the form (x,y). The first number is the x and the second number is the y.
Horizontal lines (a left-right line like the horizon) have an equation in the form "y = anumber" This works because a horizontal line has ZERO slope. So there is no x in the equation because--
y = 0x + b
y = b (a number, use the y-number from the point)
A vertical line has undefined slope so you can't even pretend to use a slope equation. A vertical line (up and down) has an equation in the form
"x = anumber" Use the x from the point.
Horizontal line through (3,9) is y=9.
Vertical line through (3,9) is x=3
A tree is 7 feet tall. If it grows 9 inches each year, how tall will the tree be in 10 years
Answer:
174 in.
14.5 ft.
Step-by-step explanation:
1. 7ft = 84in
2. 9in x 10 = 90
3. 84in + 90in = 174 in
Pls help!!!!!!!!!!!!!!!!!!!!!!!
Joel borrowed $18,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a total of $20,953.80, at what rate did he borrow the money?
Enter the percent with the percent symbol. If the percent is not a whole value, enter it as a decimal where the last digit is not zero and there is a zero before the decimal point for values less than 1. For example, if the answer is .35%, 0.35% should be entered. Round the percent to the nearest thousandth of a percent if needed.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}[/tex]
[tex]\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r[/tex]
A rectangular shape of dimension 95 m by 75 is drawn to a scale 1cm to 10m. Find the area of the drawing.
Scaled dimensions
95/10=9.5cm75/10=7.5cmArea:-
Length ×Breadth9.5(7.5)71.25cm²The area of the drawing is 71.25 square cm.
What is Area of Rectangle?The area of Rectangle is length times of width.
The actual dimensions of the rectangle are 95 m by 75 m.
The drawing is made to a scale of 1 cm to 10 m, which means that each centimeter on the drawing represents 10 meters.
Let us find the area of the drawing
First calculate the area of the rectangle in real life, and then scale it down using the ratio of 1 cm to 10 m.
The area of the rectangle in real life is:
95 m × 75 m = 7125 square meters
To scale this down to the drawing, we need to divide both dimensions by 10.
The area of the drawing is
(95 m / 10) × (75 m / 10)
= 9.5 cm × 7.5 cm
= 71.25 square cm
Therefore, the area of the drawing is 71.25 square cm.
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Jorden has $275 in his bank account. The bank will pay Jorden 4% interest per year on the value of his account. If Jorden doesn’t add to his account or withdraw any money, how much will he have in his account after one year?
Answer: $11.00
Step-by-step explanation: Please see attached PDF.
Everly's age is 2 years more than 3 times Gage's age .If Everly is 23 years old, which equation represents how to find Gage's age ?
A 2e + 3 =23
B 2 e - 3 = 23
C 3e + 2 =23
D 3 e -2 = 23
need help please .
Answer:
Solution: C
Equation to find Gage's age: 3g + 2 = 23 (where g is Gage's age)
Step-by-step explanation:
Let e = Everly's age
Let g = Gage's age
Given:
Everly's age is 2 years more than 3 times Gage's age:⇒ e = 3g + 2
Given
Everly is 23 years old⇒ e = 23
Combine the equations to create an equation to find Gage's age:
⇒ 3g + 2 = 23
To find Gage's age, solve the equation for g:
⇒ 3g + 2 = 23
⇒ 3g = 21
⇒ g = 7
Therefore, Gage is 7 years old
b) If you were to roll the dice 100 times, how often would you expect to get doubles?
If you're rolling a single cube, then ...
-- There are 6 possible out comes.
-- One of them (5) is a multiple of 5 .
-- The probability of rolling it is (1/6) = 16-2/3 % .
If everything is acting perfectly random, then ion 100 rolls,
you'd expect to succeed 16 or 17 times.
If you're rolling a pair of cubes, then ...
-- There are (6 x 6) = 36 possible outcomes.
-- There are seven ways to get a multiple of 5.
(1+4), (4+1), (2+3), (3+2), (4+6), (6+4), (5+5)
-- The probability of rolling one of those is
(7/36) = 19-4/9 % .
If everything is acting perfectly random, then in 100 rolls,
you'd expect to succeed 19 or 20 times.
Which is the equation for line B?
A. y= 4/3x
B. y=3/4x
C. y=3/2x
Answer:
b. y = 3/4x
Step-by-step explanation:
you can count it on the graph or use the slope formula
Pythagorean theorem. Show your work!
Please help in really stuck!!
Answer:
[tex]\sqrt{29[/tex]
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2 = c^2. "a" and "b" represent the side lengths QR and PR, while "c" represents the hypotenuse PQ.
Let's plug in these values:
2^2 + 5^2 = c^2
4 + 25 = c^2
29 = c^2
sqrt 29 = c
Therefore "c" is the square root of 29.
Answer:
My answers is basically 29^2 or [tex]\sqrt{29}[/tex]
Step-by-step explanation:
y’all please help!!! gradpoint & will give lotsss of points :((
Answer:
f(-8) = 64
Step-by-step explanation:
Given conditions :
f(x) = { x², if x < 0}or f(x) = {∛x, if x > 0}We have x = -8
⇒ It follows x < 0
Therefore, substituting x = -8 in the function :
f(-8) = (-8)²f(-8) = 64Can you help me with this one
Answer:
??
Step-by-step explanation:
pls type the question properly have a good day:-)
Describe another way you can find 18 = 3.
Answer:
divided by 3 on both sides
Give me full working and explanation! And I give you stars and I mark you as brainliest for sure. Best deal here.
1st clock timing
1 : 152nd clock timing
2 : 003rd clock timing
3 : 304th clock timing
4 : 4530.
formula for discount: original price - final price
discount: $700 - $505.75 = $194.25In percentage:
[tex]\rightarrow \sf \dfrac{194.25}{700} *100[/tex]
[tex]\rightarrow \sf 27.75\%[/tex]
ii)
3($194.25) = $582.75 discount
In percentage: same. 27.75%
When an object is projected into the air, it follows the path of a parabola. The equation always has the
same form, but the numbers change based on the data for the projectile:
If a cannonball is launched from a height of 29.4 m above the ground with an initial velocity of 24.5 m/s,
then the equation that models its path would be h(t) =
-4.9+7 + 24.5t + 29.4. This graph shows its
path: What is the height of the cannonball before it is launched,
at t=0? Remember to include units
Answer:
29.4 m
Step-by-step explanation:
From the graph
You can clearly infer from the graph that the initial height of the cannon ball, before it is launched is 29.4 mJust find t = 0, and see where the line of the graph intersects the y-axis, which represents height of the cannon ball w.r.t time.From the equation
An even simpler method is substitute t = 0 into the equation for the motion of the cannon ballh(0) = -4.9(0)² + 24.5(0) + 29.4h(0) = 29.4 mSteve drove 130 miles from Portland to Tacoma in 2 hours. If he continues to drive at the same speed, how long will it take him to drive 390? IS IT PROPORTIONAL
On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip.
For a 12-day trip, how many loaves of elf bread should Sam bring?
Answer:
9
Step-by-step explanation:
So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:
[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]
Next, you'll make use of the cross-multiplication rule.
So 8 X D = 12 X 6
8D = 72
You'll then divide each side by 8.
[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]
D = 9
Sam would consume 9 loaves of day for a 12-day trip.
Hope that I've explained this well enough
Need help with this math question
Answer:
SAS
Step-by-step explanation:
The sides are equal on the same side
the angles are also equal
and the other sides too
1.5 = 0.25 + g
solve the equation and find the value of the variable
Answer:
its easy it should be 1.25 or well that the answer I got
What are the zeros of the following function?
Answer:
-4 and 2
Step-by-step explanation:
the graph intersects the x-axis only at the points (-4,0) and (2,0) so the only zeroes of the graph are going to be -2 and 2
i need help 9th grade math
(f + g)(x) is another way of writing f(x) + g(x).
Given that
(f + g)(x) = 10x + 7
f(x) = 6x + 2
it follows that
g(x) = (f + g)(x) - f(x)
g(x) = (10x + 7) - (6x + 2)
g(x) = 4x + 5
g(x) be n
Now
n+6x+2=10x+7Interchange x
n+2=10x-6x+7n+2=4x+7n=4x+7-2n=4x+5Option D
The athlete usually hits the target with a probability of 0.86. How many times would he hit the target if he did 50 shots?
A can of vegetables is 4.5 in. high and has a diameter of 3 in. Find the volume of the can to the nearest tenth of a unit. Use 3.14 for π.
Answer:
i dont know i tried really really hard i wish i could help
Step-by-step explanation:
ANSWER ASAP, ILL GIVE BRAILIEST
Which measurement goes from one outside edge all the way across to the other outside edge?
Diameter
Circumference
Radius
Answer:
circumference
Step-by-step explanation:
circumference shows us how sowmthing goes around. like have you ever been to the doctor and they said theyre checking a babys head circumference? theyre checking it all over.
Is this triangle acute, right or obtuse?
Answer:
acute
Step-by-step explanation:
Check using the Pythagorean Theorem:
A^2 + B^2 ≟ C^2
9^2 + 115 ≟ 11^2
196 > 121,
so this triangle is acute because the sum of each leg squared is longer than the length of the hypotenuse squared.
please help with the question
Answer: (A) 11,-2/5
Step-by-step explanation:
when we solve the equation we get x=10 -5/2y and 3 x- 10 y = 37
then we substitute the value of "x" 3 (10-5/2y)- 10y=37
then we substitute the value oh "y" y= -2/5
solution
(x,y) = (11, -2/5)
Kevin works 2 hours more than emily each time they work together. Using this information, complete the table
If Kevin works two more hours than Emily, the correct number of hours that complete the table are 6, 5, 8, and j.
How many hours do Kevin and Emily work?The number of hours can be expressed as:
The number of hours Emily works = K - 2 or the number of hours Kevin works minus 2.The number of hours Kevin works = E + 2 or number of hours Emily works plus 2.What are the missing numbers?Emily = Kevin4 hours = 6 hous (E+2)5 hours (K-2) = 7 hours 6 hours = 8 hours (E+2)h= j (E+2)Learn more about mathematics in: https://brainly.com/question/15209879
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Find the probability of randomly choosing a penny from the jar, and then choosing a dime from the jar after the first coin is replaced.
Write the probability as a fraction in simplest form
11\44 for the dime, and 12\44 for the penny.
Step-by-step explanation:
11 dimes + 21 nickels + 12 pennies = 44 coins. 12\44 probability of randomly choosing a penny from the jar. And 11\44 probability of randomly choosing a dime AFTER the penny is replaced.