Answer:
A is the answer!
Because that's reduced of 16/30
(PLEASE HELP) A teacher surveyed a sample of students from Lake Middle School. He asked the students where they'd like to go for a field trip. He recorded these results:
• 80 chose the aquarium.
• 60 chose the science center.
• 30 chose the planetarium.
• 40 chose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He'll then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
(he surveyed 210 students and about 38% of them chose the aquarium)
Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium.
Answer:
relative frequency of choosing aquarium is 80/210
about 400 students out of 2000 will choose aquarium
Step-by-step explanation:
relative frequency of choosing aquarium is 80/210
proportion:
a = students who choose aquarium
80/210 = a/1000
210a = 80000
a = 80000/210 which is close to 80000/200 which equals 800/2 or about 400 students
A line is parallel to the line y=-2/3x+1 and it passes through the point (4,-1). Determine the slope of the line.
A) m=2/3
B)m=-3/2
C)m=-2/3
D)m= 3/2
Answer:
C) m=-2/3
Step-by-step explanation:
Parallel slope means it'll be the same.
m = -2/3
Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of
money she has after 20 years?
Answer:
$900
Step-by-step explanation:
The formula for simple interest is I = PRT where I is the interest earned, P is the principal/amount deposited or borrowed, R = rate as a decimal, and T = time in years
I = PRT
I = (500)(0.04)(20)
I = 400
Add the interest to the principal, and she will have $900 in 20 years.
Please let me know if you have questions about this.
Can someone help me simplify and write in power form and show me step by step how to do it for both problem 8 and 9?
Answer:
[tex]\frac{-1.1x^{25} }{-1.1x^{11} }[/tex] [tex]\frac{mx^{67} }{mx^{37} }[/tex]
Step-by-step explanation:
Sine (-1.1) is the same as (-1.1) you just put them together and if the numbers are by each other you just add up the exponents. But if the question says this [tex]\frac{-1.1x^{2} }{-1.1x^{3} }[/tex] than you subtract the exponents.
·[tex](-1.1)x^{13}X (-1.1)x^{12} = add\\\frac{-1.1x^{2} }{-1.1x^{2} } = subtract[/tex]
Hope this helps. Have a blessed day :)
The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!
Answer:
75 Units
Step-by-step explanation:
i got this on khan :)
Find x so the distance between (x,−1) and (4x−2,5) is 10
Answer:
[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]
Step-by-step explanation:
(x,−1) and (4x−2,5) is 10
[tex] \sqrt{(4x - 2 - x)^2 + (-1 - 5)^2} = 10 [/tex]
[tex] (3x - 2)^2 + (-6)^2 = 100 [/tex]
[tex] 9x^2 - 12x + 4 + 36 = 100 [/tex]
[tex] 9x^2 - 12x + 40 = 100 [/tex]
[tex] 9x^2 - 12x - 60 = 0 [/tex]
[tex] 3x^2 - 4x - 20 = 0 [/tex]
[tex] 3x^2 - 10x + 6x - 20 = 0 [/tex]
[tex] x(3x - 10) + 2(3x - 10) = 0 [/tex]
[tex] (3x - 10)(x + 2) = 0 [/tex]
[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]
The length of the rectangle is six times it’s width. If the perimeter is 84yd find the length and width
Answer:
W = 6
L = 36
Step-by-step explanation:
2L + 2W = 84
L = 6W
Substitute for L in the first equation
2 (6W) + 2W = 84
12W + 2W = 84
14W = 84
W = 6
Substitute W in the first equation
2L + 2(6) = 84
2L + 12 = 84
2L = 72
L = 36
Plug both values in both equations to be sure
2(36) + 2(6) = 84
36 = 6 * 6
Hope that helps!
i need to simplify this −x<−29
Answer:
x > 29
Step-by-step explanation:
Answer:
[tex]x > 29[/tex]
Step-by-step explanation:
Given: −x<−29
To find: Simplified
Solution: Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.
The process entails collecting like terms, which implies adding or subtracting terms in an expression.
Multiply both sides by -1 (reverse the inequality)
[tex](-x) (-1) > (-29) (-1)[/tex]
Simplify
[tex]x > 29[/tex]
Which of the a-values satisfy the following inequality?
7 + a < 11
Choose all answers that apply:
A: a=3
B: a=4
C: a=5
Answer:
A = 3
I hope it's helps you
Sadie volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 316 people went to The Youth Wing, 497 people went to Social Issues, and 460 went to Fiction and Literature. On Sunday, the library had 1400 total visitors. Based on what Sadie had recorded on Saturday, about how many people should be expected to go to The Youth Wing? Round your answer to the nearest whole number..
Answer:
347Step-by-step explanation:
Total visitors on Saturday:
316 + 497 + 460 = 1273Proportion of people who went to The Youth Wing on Saturday:
316/1273 = 0.248Expected number of people to visit The Youth Wing on Sunday:
1400*0.248 = 347 (rounded)NEED HELP FOR TEST!!!
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. B. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on?
find the erea of the trapezoid.
Answer:
288
Step-by-step explanation:
Answer:
36 m²
Step-by-step explanation:
A = 1/2h × (sum of bases)
A = 1/2(4)(6 + 12)
A = 2·(18)
A = 36 sq m
What is the area, in square centimeters, of the shaded part of the rectangle shown below
Answer:
Step-by-step explanation:
i think you forgot to link or import the question
Five years ago alex was 12 times as old as tom alex is 41 now how old is tom now
Step-by-step explanation:
I think this will help you. Thanks.
PLEASEEEEE HELPP
Karen is having a party. She’ll have 2 tables fir every 6 guest
Answer:
i hate these questions lol her name do be karen sorry um you do multiplicaton for this question i hate aleks expesially thqat question i feel you bro
Step-by-step explanation:
Answer: it’s all in the explanation!
Step-by-step explanation:
So, in the question, it states that she’s gunna have two tables for every six guests. You’re gonna need to find out how much people are going to be at ONE table, so two divided by six! And as you know, that equals three. For the first space, since it’s a odd number, you need to use the three instead of six since there’s gunna be one table by itself. So three times 5. The first space is gunna be 15 :). The second space is somewhat the same process. What times three equals 21? Seven! So for the second space, you’re gunna pit seven. For the third one, you do 8 times three, which equals 24. And for the last space, it’s 10, for three times ten :), hoped this helped!
An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 7 km east of the refinery. The cost of laying pipe is $300,000 per km over land to a point P on the north bank and $600,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round the answer to two decimal places.)
please help me this is confusing please add an explanation to it
Answer:
2
Step-by-step explanation:
As it would look better.
1 would make the graph too big
12 would be useless as there are no "answers" more than 12
10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.
What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have
Answer:
34 the answer
Step-by-step explanation:
Julisha poured 0.9 liter of water into an
empty flask. She boiled the water for 15
minutes then measured the amount of water
that remained. She found that 80% of the
water remained in the flask. Measured in
liters, how much water evaporated?
PLS I NEED HELP! ASAP.
Answer:
0.18
Rounded
0.2
Step-by-step explanation:
what is the slope of the line?
khan academy
Answer:
4/5 is the slope
Answer:
(-5,-4) or (-4, -5)
Step-by-step explanation:
What number must be added to -9 to equal +4?
Answer:
[tex]13[/tex]
Step-by-step explanation:
let the unknown number be x
[tex]x + ( - 9) = 4 \\ x - 9 = 4 \\ x = 4 + 9 \\ x = 13[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
The function g(x) is a transformation of the quadratic parent function, f(x)
What function is g(x)?
Answer:
Option A.
Step-by-step explanation:
The parent function is the quadratic function, that is:
[tex]f(x) = x^2[/tex]
Function g:
The function g is the function f concave down, that is, -f.
Also, for the parent function, we have that y = 1 when x = 1. On the function g, otherwise, we have that when x = 1, y = -1/3. So:
[tex]g(x) = -\frac{1}{3}f(x) = -\frac{1}{3}x^2[/tex]
The correct answer is given by option A.
-3x^2
just did it and it’s correct. Your welcome <3
7 1/2 x 3/4 = 45/8 =
Answer:
90/6 is the answer
Step-by-step explanation:
Answer:
15/71
Step-by-step explanation:
(
71
2
x)(3)
4
=
45
8
(
71
2
x)(3)*(8)=(45)*(4)
852x=180
Step 2: Divide both sides by 852.
852x
852
=
180
852
An expression is given.
16
−
14
÷
2
+
(
3
+
2
)
2
What is the value of the expression?
Answer:
19
Step-by-step explanation
Answer:
19
Step-by-step explanation:
16-14÷2+(3+2)2
16-14÷2+5×2
16-7+5×2
16-7+10
16+10-7
26-7
19
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let p represent the proportion of registered voters in the state that would vote to raise taxes.Reference: Ref 20-4How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence
Answer:
A sample of 6758 would be needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes.
This means that [tex]\pi = \frac{580}{1200} = 0.4833[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample n would you need to estimate p with margin of error 0.01 with 90% confidence?
This is n for which M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.4833*0.5167}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.4833*0.5167}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.4833*0.5167}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.4833*0.5167}}{0.01})^2[/tex]
[tex]n = 6757.5[/tex]
Rounding up:
A sample of 6758 would be needed.
HELP HELP HELP IM BEGGIN YU
Answer:
Option C
Step-by-step explanation:
If two triangles are congruent then their corresponding sides and angles are congruent.
[tex]---------------[/tex]
hope it helps you..
have a great day!!
Answer:
option c is correct answer of this question
hope it helps
Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit
Answer:
B) -35
Step-by-step explanation:
-20+(-15)
as taught when there is a minus and plus sign together it becomes a minus sign automatically (+ -)= -
Therefore -20+(-15)
will be -20-15 which gives you -35
In the Eqaulity -8 ≤ -5. Which number appears farther left on a number line and why?
A -8 appears farther left because -8 is smaller -5
B -5 appears farther left because -5 is larger than -8
C -8 appears farther left because -8 is larger than -5
D -5 appears farther left because -5 is smaller than -8
NO LINKS PLEASE
What are the 3 missing numbers on the 3 blanks?
Answer:
[tex]y=\frac{3}{2} x+0[/tex]
Step-by-step explanation:
points on the line are:-
[tex](0,0) and(2,3)[/tex]
[tex]m=\frac{3-0}{2-0} =\frac{3}{2}[/tex]
[tex]y=mx+b[/tex]
[tex]y=\frac{3}{2} x+b[/tex]
[tex]0=\frac{3}{2}(0)+b[/tex]
[tex]0=b[/tex]
so...
[tex]y=\frac{3}{2} x+0[/tex]
[tex]---------[/tex]
hope it helps...
have a great day!!
Consider the figure shown. What is the measure of exterior angle
Answer:
What grade are you in? I am not sure about this question...
Step-by-step explanation: