Answer: There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
(FULL CREDIT TO maksimylian, I DID NOT WRITE THIS ANSWER)
Answer:
Randomly surveying 50 girls would most likely bring non-seventh-graders into the sample.
The sample also does not take any boys into account, and they most likely make up about half of the seventh-grade population.
The results would not be a representative sample of the population.
Step-by-step explanation:
From edge
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earning the cupcake shop earns in 5 days.
Answer:
4750
Step-by-step explanation:
950x
950× 5
4750
varying directly with number of days
If 3^1-x +3^1+x = 90, Find the value of x
Answer:
[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3^{1-x}+3^{1+x}=90[/tex]
First, note that this is the same as:
[tex]3\cdot 3^{-x}+3\cdot 3^x=90[/tex]
Factor out a 3:
[tex]3(3^{-x}+3^{x})=90[/tex]
Divide both sides by 3:
[tex]3^{-x}+3^x=30[/tex]
Change the negative exponent into a fraction:
[tex]\frac{1}{3^x}+3^x=30[/tex]
Multiply both sides by 3^x:
[tex]3^x(\frac{1}{3^x}+3^x)=(30)(3^x)[/tex]
Distribute:
[tex](1)+(3^x)^2=30(3^x)[/tex]
Let u equal 3^x. So:
[tex]1+u^2=30u[/tex]
Subtract 30u from both sides:
[tex]u^2-30u+1=0[/tex]
This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:
[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute:
[tex]u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}[/tex]
Simplify:
[tex]u=\frac{30\pm \sqrt{900-4}}{2}[/tex]
Subtract:
[tex]u=\frac{30\pm \sqrt{896}}{2}[/tex]
Simplify:
[tex]u=\frac{30\pm 8\sqrt{14}}{2}[/tex]
Simplify:
[tex]u=15\pm 4\sqrt{14}[/tex]
Substitute back u:
[tex]3^x=15\pm 4\sqrt{14}[/tex]
Take the log to base 3 of both sides:
[tex]\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}[/tex]
The left side cancels:
[tex]x=\log_3{15\pm 4\sqrt{14}}[/tex]
So, our solutions are:
[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]
And we're done!
Ms. Lady works-out with Ms. Beetle; her average crawling time has increased to 4 feet per minute, while Ms. Beetle, who is used to eating Hot Cheetos and watching TV, averages 2.5 feet per minute. While at Senn's Elm Tree-house, the three decide to experiment with linear equations. The objective is to end up at the Rose Bush at the same time. Senn still averages 5 feet per minute. How much of a head start does he need to give each of his friends in order for their function rules to intersect at 92 feet (the rose bush). What is the equation for each bug which makes their experiment successful? Create a table and graph representing the situation.
Answer:
Senn needs to give Ms. Lady 4.6 minutes head start
Senn needs to give Ms. Beetle 18.4 minutes head start
The equation for each bug are;
For Senn, the equation for the experiment is 5 × t₁ = 92 feet
For Ms. Lady, the equation for the experiment is 4 × (t₁ + 4.6) = 92 feet
For Ms. Beetle , the equation for the experiment is 4 × (t₁ + 18.4) = 92 feet
Please find attached the required graph and table of values
Step-by-step explanation:
The given parameters are;
The average crawling time of Ms. Lady = 4 feet per minute
The average crawling time of Ms. Beetle = 2.5 feet per minute
The average crawling time of Senn = 5 feet per minute
The distance to the rose bush = 92 feet
Therefore, we have;
The time, t, duration for Senn to arrive at the Rose bush is given by the following relation,
Time, t = Distance, d/(Speed, s)
Given that the speed of the bugs is equal to their average crawling time, we have
For Senn
Time, t = 92/(5 ft/Min) = 18.4 minutes
For, Ms. Lady
Time, t = 92/(4 ft/Min) = 23 minutes
For, Ms. Beetle
t = 92/(2.5 ft/Min) = 36.8 minutes
Therefore;
Senn needs to give Ms. Lady 23 - 18.4 = 4.6 minutes head start
Similarly, Senn needs to give Ms. Beetle 36.8 - 18.4 = 18.4 minutes head start
The equation for each bug are therefore;
For Senn, the equation for the experiment is given as follows ;
5 × t₁ = 92 feet
For Ms. Lady, the equation for the experiment is given as follows;
4 × (t₁ + 4.6) = 92 feet
For Ms. Beetle , the equation for the experiment is given as follows;
4 × (t₁ + 18.4) = 92 feet.
plz help will give brainliest
Step-by-step explanation:
Hey there!!!!
Your required answer is option A.
The reason is.
When we solve it through elimination method we need to multiply second equation by "2" and then subtract to get "-4y" in 1st equation and "+4y" in 2nd equation cancelled.(As when we multiply equation 2 by 2 and subtract we get "-2y" as "+4y".)
So, it the equation seems like,
[tex]12 {x}^{2} + 4 {y}^{2} = 22[/tex]
Now, this equation is made after multiplying it by 2 and subtracting the 1st and 2nd equation to solve the equation s.
So, the answer is option A.
Hope it helps...
HELP ME PLS THANK YOU<<<3333
≈ 63.30 ft²
Step-by-step explanation:Heron formula
A = √p(p - a)(p - b)(p - c)
a = 9 ; b = 15 ; c = 20
p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22
A = √22(22-9)(22-15)(22-20)
= √22×13×7×2
= √4004
≈ 63,27
≈ 63.30 ft²
If g(x) =4x+2 and f(x) =3x-10
find g(f(3))
Answer:
[tex]g(f(3))=-2[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]g(x)=4x+2\text{ and } f(x)=3x-10[/tex]
And we want to find g(f(3)).
So, let's find f(3) first:
[tex]f(3)=3(3)-10[/tex]
Multiply:
[tex]f(3)=9-10[/tex]
Subtract:
[tex]f(3)=-1[/tex]
Therefore, we can substitute -1 for f(3):
[tex]g(f(3))=g(-1)[/tex]
Now, find g(-1):
[tex]g(-1)=4(-1)+2[/tex]
Multiply:
[tex]g(-1)=-4+2[/tex]
Add:
[tex]g(-1)=-2[/tex]
And we're done!
So:
[tex]g(f(3))=-2[/tex]
A scientist claims that Fabric A is better able to resist fire than Fabric B.
Which option describes an experiment that will produce evidence that will
support or refute her claim?
O A. Make detailed measurements of each type of fabric to determine
the thickness of their fibers.
B. Measure how long it takes for a specific amount of Fabric A to
burn up completely.
O C. Hold each type of fabric over a candle flame and time w long it
takes for the fabric to start to burn.
O D. Combine Fabric A and Fabric B and measure the temperature at
which they start to burn.
The answer is C.
The question is asking you to find an option that "supports" or "refutes" her claim. In option C, you have to hold the fabrics above a candle to see how long it will take to burn. This way of proving her hypothesis can either go good or bad (support that Fabric A resists better or refute her claim and Fabric B resists fire better).
Best of Luck!
Answer:
A scientist claims that Fabric A is better able to resist fire than Fabric B.
option describes an experiment that will produce evidence that will support or refute her claim is:
C. Hold each type of fabric over a candle flame and time w long it.
if bill payed 73.80 for 32 4/5 gallons of gas, how much did he pay per gallon
Answer:
$2.25
Step-by-step explanation:
73.80/32.8
5 = -2( x– 1)
5= -2x+2
5 = -2 (x – 1) (remove the parantheses)
5 = -2x + 2 (move the terms)
2x = 2 - 5 (calculate)
2x = -3 (divide both sides)
x= -3/2
5= -2x + 2 (move the terms)
2x = 2 - 5 (calculate)
2x = -3 (divide both sides)
x= -3/2
2
(2+1) - 4 x 5 + 31
Answer:
14
Step-by-step explanation:
Here's where you'll use the infamous PEMDAS, which just means how to solve the equation in order.
P means parentheses
E means exponents
M means multiplication
D means division
A means addition
S means subtraction
So start with P. Here we have (2+1) so that becomes 3. Which then turns the equation into: 3 - 4 × 5 + 31. Next Is E but since there are no exponents here you skip that step. Next is M. You have 4 × 5 which is 20 so the equation then becomes: 3 - 20 + 31. Next is D but since there's nothing to divide you can skip that too. You can actually go right ahead and solve it here because in PEMDAS you can actually just do all MD problems together from left to right, same as and AS problems in order from left to right, instead of doing M and then D or A and then S.
(I made a careless mistake in the original post, this should be the correct answer)
plz help me do this qutsion its so hard
E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help
Answer:
m[tex]\angle[/tex]F = 34°Step-by-step explanation:
If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°
To find m[tex]\angle[/tex]F add m[tex]\angle[/tex]E and m[tex]\angle[/tex] F and equate it to 90 to find x then substitute it into the expression for m[tex]\angle[/tex]F
Thats
m[tex]\angle[/tex]E + m[tex]\angle[/tex]F = 90
[tex]\rarr[/tex] 9x - 38 + 2x + 40 = 90
[tex]\rarr[/tex] 11x + 2 = 90
[tex]\rarr[/tex] 11x = 90 - 2
[tex]\rarr[/tex] 11x = 88
Divide both sides by 11
x = 8
Now we have
if m [tex]\angle[/tex]F = 9x - 38
m[tex]\angle[/tex] F = 9( 8) - 38
m[tex]\angle[/tex]F = 72 - 38
We have the final answer as
m[tex]\angle[/tex]F = 34°Hope this helps you
During the summer months the water level in Marthas pool decreases by about 1/2 inch each day due to evaporation which equation shows the approximate total change in inches to the water level in a pool after 30 summer days
Answer:
Option B (second one to the right)
Step-by-step explanation:
Solving this equation:
-1/2(30)= -15
-1/2 x 30 = -15
(2 days = 1 inch lost)
Simplify the expression using the distributive property 2x (x- 9)
Answer:
2x^2-18x
Step-by-step explanation:
consider the sequence -5,1,7,13,19,25 write a recursive definition and a general formula for this sequence
Answer:
Formula: n+6
In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set.
factors of 4x^3-14x^2+12x
Step-by-step explanation:
4x³ - 14x² + 12x
= 2x[2x² - 7x + 6]
= 2x[(2x-3)(x-2)]
= 2x(2x-3)(x-2)
3(x + 1) = -2(x - 1) - 4.
Answer:
this is the answer x=-1
Evaluate (2 - 5 i) (p + q) (i) when p = 2 and q = 5 i
Answer:
29i
Step-by-step explanation:
https://socratic .org/questions/how-do-you-evaluate-2-5i-p-q-i-when-p-2-and-q-5i#304498
If you want a description, copy that into your browser and take out the spaces between "socratic" and ".org".
Answer:
A
Step-by-step explanation:
[tex]1.005 = 0.005x + 0.95[/tex]
(-2)(8)(-6) divided-4
Answer: -24
Step-by-step explanation:
-2 * 8 = -16
-16 * -6 = 96
Answer:
24 Please give brainliest
Step-by-step explanation:
-2 x 8
-16 x -6
96/4
24
What is the value of a in the equation a = 2 + 3a + 8?
10
5
−5
−10
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
hope it helped!! Brainliest? I need em
U is the midpoint of TV. If TU = x - 6 and TV = 3x – 23, what is TU?
Answer:
TU = 5
Step-by-step explanation:
Since, U is the midpoint of TV.
[tex]\therefore TV = 2 \times TU \\ 3x - 23 = 2(x - 6) \\ 3x - 23 = 2x - 12 \\ 3x - 2x = 23 - 12 \\ x = 11 \\ \\ TU = x - 6 \\ TU = 11 - 6 \\ \huge \red { \boxed{TU = 5}}[/tex]
how to change a bianary number into decimal number
1. Positional Notation
2. Doubiling
3. An Online Converter
Step-by-step explanation:
Hey there!!!
We generally multiply using base 2 and keep power that starts from 0 and goes on increasing and add all them at last to convert binary to decimal.
For example:
011110
To convert into decimal follow the steps.
1st step: Multiply with base 2 and keep power from right side starting from 0.
[tex]0 \times {2}^{5} + 1 \times {2}^{4} + 1 \times {2}^{3} + 1 \times {2}^{2} + 1 \times {2}^{1} + 0 \times {2}^{0} [/tex]
2nd step: solve powers and multiply with binary numbers.
This implies;
= 0 + 16 + 8 + 4 + 2 +0
= 30.... is your answer.
Hope it helps....
a bin contains 26 markers four students each choose the same number of markers if they choose as many markers as possible how many markers are left in the bin
You sold 60 units of candy. The amount
you got from seling candy is $210. How
much are you selling candy for?
Answer:
$3.50
Step-by-step explanation:
There are 60 inches in 5 feet. How many inches are in 8 feet?
63 inches
72 inches
96 inches
80 inches
Answer:
96
Step-by-step explanation:
multiply by 12 because thats how many inches are in a foot
There are 96 inches in 8 feet.
feet to inches:1 foot = 12 inchesThere are 60 inches in 5 feet. Therefore,
5 feet = 60 inches
8 feet = ?
cross multiply
length in inches = 60 × 8 / 5
length in inches = 480 / 5
length in inches = 96 inches.
Therefore, there are 96 inches in 8 feet.
learn more on length here: https://brainly.com/question/23044923?referrer=searchResults
15 points and brainlist! Math
Answer:
distribute the 3
Step-by-step explanation:
follow pemdas ill put a brainpop link below
its the answer highlighted in yellow
Answer:
the 4th option is the right answer
subtract the constants
hope this helped you
please mark as the brainliest (ㆁωㆁ)
To which place value is the number rounded?
8.293 to 8.29
a
ones
b
tenths
c
hundredths
d
thousandths
Answer:
c
Step-by-step explanation: 3 is not bigger than 9 so it can't bump it up so it stays like that.
-9x+1=80
please someone answer, please
Answer:
-8 7/9
Step-by-step explanation:
-9x+1=80
-9x+1-1=80-1
-9x=79
-9x=79
-9 -9
x= -8 7/9
I need help asap please
Answer:
y=3x+6, y=5x,
Step-by-step explanation: