Answer:
21
Step-by-step explanation:
We need to utilise one important angle in order to answer this question which is
→ Angles in a triangle add up to 180°
Using this information we can set up an equation to find the value of x
⇒ Form equation using the important angle fact
→ x - 4 + 3x + 100 = 180
⇒ Simplify the 'x' and the numerical terms
→ 4x + 96 = 180
⇒ Minus 96 from both sides to isolate 4x
→ 4x = 84
⇒ Divide both sides by 4 to isolate x
→ x = 21
The value of x is 21
Two groups of subjects were divided in an experimental study. One group was given a drug to help speed up
their metabolism and result in weight loss. The other group was given a placebo (a pill that looks identical to the one given to the other group, but without the weight loss drug). After a month of the experiment, the weight loss of each individual in each of the two groups were measured. In general, people in the group who took the metabolism drug did lose more weight, although there were differences in the amount each lost. There are two main types of variability occurring in this study. Describe each type below in the context of this study.
Induced Variability-
Natural Variability-
Answer:
Step-by-step explanation:
Two groups of subjects were divided in an experimental study. One group was given a drug to help speed up
their metabolism and result in weight loss. The other group was given a placebo (a pill that looks identical to the one given to the other group, but without the weight loss drug). After a month of the experiment, the weight loss of each individual in each of the two groups were measured. In general, people in the group who took the metabolism drug did lose more weight, although there were differences in the amount each lost. There are two main types of variability occurring in this study. Describe each type below in the context of this study.
Induced Variability-
Natural Variability-
------------------------------------------------------------------------
Induced Variability - It is the kind of variability that is introduced by the one conducting the experiment. The decision to give one group the drug and othe other group a placebo was deliberate to check the merit of the drug on its own and was introduced by the one conducting the study. Hence the, the observation that the group that took the drug lost more weight as compared to the group that took the placebo is an induced variability.
Natural Variability - It is classified as a natural fluctuation in the observations that is not influenced by the one conducting the study. Even though the group that took the drug lost more weight, the exact amount that each of them lost was not constant. Hence this was a variability that did not introduce itself through the one conducting the study, and rather was unexplained and natural. Hence it is a natural variability.
-12 + 18. = 70
complete the square
PLEASE ANSWER!!! I WILL MARK YOU AS BRAINLIEST!!!
Answer:
SAMPLE space=4
all outcomes:a,b,c,d
probability of each one is 1/4 or 0.25
2. probability for each one is 1 in 8
Step-by-step explanation:
plus answer now Find 3/5 of 3000.
Answer:
1800
Step-by-step explanation:
0.85 converts to a fraction with a numerator of 85 and a denominator of
Answer:
denominator is 100
Answer:
The demominator is 100
Step-by-step explanation:
0.85 is pronounced eighty-five hundreths therefore the denominator is 100!
can someone please help me?
How much more ml will 12 cans hold when one can us 150ml
question in pic blow plz help me
Answer:
im pretty sure it's the second to last for the answer
If it takes two skilled workers 2 weeks to
remodel two bathrooms, how long will it take
10 skilled workers to remodel 10 bathrooms?
Justin did push-ups every weekday this week. He did 8 push-ups on Monday, 14 pushups on Tuesday 18 push
ups on Wednesday, 6 push-ups on Thursday, and 8 push-ups on Friday,
Find the median number of push-ups.
push-ups
Answer:
8
Step-by-step explanation:
The data set up lowest to highest is: 6, 8, 8, 14, 18. Median is the middle number of the data, so the answer would be 8
Please help
Write an equation and solve for x
Answer:
x = 81
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 23 + 58 = 81
Given that the y intercept is 3 and the slope is -2/3 what is the equation of the line?
a) y=2/3x+3 b) y= -2/3+3
c) y=3x-2/3 d) y=3x+2/3
Answer:
B y=-2/3x+3
Step-by-step explanation:
y=mx+b
y=-2/3x+3
Answer:
Step-by-step explanation: y= -2/3x+3
In this question , all lengths are in centimetres. AB= 3x-4,AC=2x+12,BC=7x-2.given AB:AC=1:2 show that AC:BC=2:3
Answer:
AX : XB as AB : AC
AX = 5
XB = 4
AC = 6
AB = x
Step-by-step explanation:
5 : 4 as to x : 6
ratios can also be written as fractions...
5/4 = x/6 ..now we have a proportion...so we cross multiply
(4)(x) = (5)(6)
4x = 30
x = 30/4
x = 15/2 <==== AB = 15/2
Answer:
c on edg...
Step-by-step explanation:
Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies that costs $4.25.Write and solve an inequality that models this situation and could be used to determine the maximum number of bags of nuts, n, Annie can buy. (Show all your work)
Answer: She can buy up to 2 bags of nuts
Step-by-step explanation:
Hi, to answer this question we have to write an inequality:
The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).
5.70n +4.25 ≤18
Solving for x:
5.70n ≤18 -4.25
5.70n ≤13.75
n ≤13.75/5.70
n ≤2.41
n ≤2 (rounded)
She can buy up to 2 bags of nuts
Answer:2
Step-by-step explanation:
1- An ordered pair has coordinates that have the same sign. In which quadrant(s) could the point lie? EXPLAIN!!!
2 - Another ordered pair has coordinates that are opposites. In which quadrant(s) could the point lie? EXPLAIN!!!!
Answer:
as the sign of coordinates of different ordered pairs is as shown in the diagram so
ans. to 1 is quadrants one and three
ans. to 2 is quadrants two and four
What is the range of the function y=e* + 1 graphed below?
[tex]$f: \mathbb{R} \rightarrow \mathbb{R}, f(x) = e^{x} + 1$[/tex]
[tex]\text{Range}(f) = \{y \in \mathbb{R} \vert x \in \mathbb{R}, f(x) = y\}[/tex]
[tex]\text{Suppose $f(x) = a$}\\e^{x} + 1 = a \implies e^{x} = a - 1 \implies x = \ln(a-1)\\[/tex]
[tex]\text{For the logarithm to be real, it must be true that $a - 1 > 0$}\\\text{But then we have that } a > 1. \implies \boxed{\text{Range}(f) = (1, \infty)}[/tex]
Answer:
The answer is D. y > 1 on edge
6) What is the value of w? w + 3 /4 = w - 2 /2
It has no solution.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
No solution
Step-by-step explanation:
The given equation is,
→ w + (3/4) = w - (2/2)
Now we have to,
→ Find the required value of w.
Then the value of w will be,
→ w + (3/4) = w - (2/2)
Finding LCM in both sides:
→ (4w/4) + (3/4) = (2w/2) - (2/2)
→ (4w + 3)/4 = (2w - 2)/2
Cross multiplying both sides:
→ 2(4w + 3) = 4(2w - 2)
Applying Distributive property:
→ 2(4w) + 2(3) = 4(2w) - 4(2)
→ 8w + 6 = 8w - 8
→ 8w - 8w = -8 - 6
→ [ 0 = -14 ] => {No solution}
Hence, it has no solutions.
A file that is 283 megabytes is being downloaded. If the download is 14.2 % complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
40.186 Mb
Step-by-step explanation:
14.2% of 283 megabytes have been downloaded.
To find a percent of a number, multiply the percent by the number. Change the percent to a decimal by dividing the percent by 100 which means move the decimal point of the percent two places to the left.
14.2% of 283 Mb =
= 14.2% * 283 Mb
= 0.142 * 283 Mb
= 40.186 Mb
Answer: 40.186 Mb
how many different outfits can be made from 4 shirts, 4 pairs of pants, 2 pairs of shoes, and 3 hats
Answer:
Step-by-step explanation:
21
Which of the following is the solution to |x|-2 ≤ -3 ?
Answer:
Step-by-step explanation:
Answer:
the answer is no solution.
What is the interquartile range of the data represented by the box plot shown below?
Please! Help needed!!
Answer:
The interquartile range is 22.Step-by-step explanation:
The box plot shows all three quartiles, where the first one is 45, the second quartile is 50 and the third quartile is 67 (remember that there are only three quartiles in a dataset).
Now, the interquartile range is defined as the difference between the third and first quartile, which in this case is 67 - 45 = 22.
Therefore, the interquartile range is 22.
Apparently I forgot everything during quarantine...
Answer:
x=8
Step-by-step explanation:
The formula for the area of a kite is pq/2. In this case, 15 inches is p and x is q. Since the answer is being divided by 2, you want pq to be double the actual area. 60 times 2 is 120. 120 divided by 15 is 8. Therefore, x is equal to 8.
You can check this answer by substituting the values intothe equation.
(15)(8)/2= 120/2= 60.
Which situation gives you the fewest number of possible outcomes?
A.
You choose 2 beads from a jar of 9 beads.
B.
You choose 4 cards out of 8 cards.
C.
You choose 5 people out of 6 people.
D.
You choose 4 socks out of 32 socks in a drawer.
Answer:
c you choose 5 out of 6 people
The diameter of a circle is 4 in. Find its area in terms of π\pi π.
The formula for area of a circle is r² x π.
Since we know the diameter, we can firstly divide by 2 to find our radius.
4/2 = 2
Now that we know the radius, we can substitute it in and square the value.
(2)² x π
(4) x π
Since we're finding the area in terms of pi, we won't multiply by pi, giving us the answer of 4π.
Therefore, the area of the circle is equal to 4π.
Hope this helped! :)
Answer:
If the diameter of the circle is 4 in. then the radius of the circle is 2
the formula for the circle area is
A = πr^2
r = radius
A = π * 2 * 2
A = 4πA = 12.57 if solved
Step-by-step explanation:
work out 4.50 ÷ 0.05
Answer:
90
Step-by-step explanation:
Solve n – 96 < –58.
n < 38
n < –154
n < –38
n > 38
Answer:
n<38
Step-by-step explanation:
n – 96 < –58
Add 96 to each side
n – 96+96 < –58+96
n<38
Answer:
4th answer is correct
Step-by-step explanation:
n - 96 < - 58
Add 96 to both sides.
n - 96 + 96 < - 58 + 96
n < 38
Tom bought a pair of shoes on sale for $60.29 the original price of $89.99 census what was the approximate percent of decrease that Tom bought the shoes for
please answer it's for hw
HELP ME FIGURE THIS OUT
Answer:
your answer is -9,-4,0,2,7 so your answer is d
Step-by-step explanation:
by looking on the number line you can see that -9 is farthest to the left ,so meaning it would go first and 7 which is the farthest right meaning it should be last giving you the order -9 as first -4 as second and 0 as third and so on.
The picture is up there thank youuuuu!
Answer:
152 men, 76 women, and 38 children
Step-by-step explanation:
Children- x
Women-2x
Men-4x
4x+2x+x=266
7x=266
x=38
2x=76
4x=152
152 men, 76 women, and 38 children
Solve.
7 1/2 divided (4 1/2-5 1/8)=.
Answer:
[tex]=-12[/tex]
Step-by-step explanation:
[tex]\frac{7\frac{1}{2}}{4\frac{1}{2}-5\frac{1}{8}}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 7\frac{1}{2}=\frac{15}{2}\\\frac{\frac{15}{2}}{4\frac{1}{2}-5\frac{1}{8}}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{1}{2}=\frac{9}{2}\\\frac{\frac{15}{2}}{\frac{9}{2}-5\frac{1}{8}}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{1}{8}=\frac{41}{8}\\\frac{\frac{15}{2}}{\frac{9}{2}-\frac{41}{8}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{15}{2\left(\frac{9}{2}-\frac{41}{8}\right)}\\\mathrm{Join}\:\frac{9}{2}-\frac{41}{8}:\quad -\frac{5}{8}\\=\frac{15}{2\left(-\frac{5}{8}\right)}\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\frac{15}{-2\cdot \frac{5}{8}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{15}{2\cdot \frac{5}{8}}\\\mathrm{Multiply\:}2\cdot \frac{5}{8}\::\quad \frac{5}{4}[/tex]
[tex]=-\frac{15}{\frac{5}{4}}\\\mathrm{Simplify}\:\frac{15}{\frac{5}{4}}:\quad \frac{60}{5}\\\mathrm{Divide\:the\:numbers:}\:\frac{60}{5}=12\\=-12[/tex]
Answer:
-12 will be your answer
Step-by-step explanation: