Answer:
B - Centers: The Asian elephants have a lower median height than the African elephants
D - Spreads: The heights of the African elephants are more spread out
Step-by-step explanation:
On analyzing the dot plots, we find that the heights of the African elephants are more spread out and the Asian elephants have a lower median height than African elephants.
What is median?
Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.
Median of height of Asian elephants = 8 ft
Median of height of African elephants = 11 ft
This implies that the Asian elephants have a lower median height than African elephants.
What is spread of data?Spread describes the variation of the data. One of the measures of spread is range.
Range of height of Asian elephants = 4ft
Range of height of African elephants = 10ft
This implies that the height of African elephants are more spread out.
Learn more about median here
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HELP ME PLEASEEEEEEEEEE
Answer:
(-3,3) and (4,0) are inside the triangle.
Which expression uses the associative property to make it easier to evalute?
Answer:
The correct option is (c).
Step-by-step explanation:
The given expression is :
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]
We need to use the associative property to make it easier.
The associative property for multiplication is as follows :
[tex]A\times (B\times C)=(A\times B)\times C[/tex]
We have,
[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]
[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]
Hence, the correct option is (c).
ou spend $62 on a game, receive $50 for painting a fence, and give $10 to your friend. You have $44 left. How much money did you start with?
Answer:
$66
Step-by-step explanation:
Let the money that you started off with be called x.
You spend $62 on a game: x-62
You receive $50 for painting a fence: x-62+50 = x-12
You give $10 to your friend: x-12-10 = x-22
You have $44 left: x-22=44, x=44+22=66
i need the answer for the parentheses
Answer:
Step-by-step explanation:
To find the vertex, we need to put this into vertex form, which is done by completing the square on the quadratic. Begin by moving the 8 over to he other side of the equals sign:
[tex]3x^2-6x=-8[/tex]
Now factor out the 3:
[tex]3(x^2-2x)=-8[/tex]
Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1:
[tex]3(x^2-2x+1)=-8+3[/tex]
We added a 3 on the right because 3 times the 1 we added in is 3. Cleaning that up a bit gives us the perfect square binomial on the left and -5 on the right:
[tex]3(x-1)^2=-5[/tex]
and when we move the -5 back over by adding we have
[tex]3(x-1)^2+5=y[/tex] and our vertex is seen to be (1, 5)
If 3x + 11 = 4x - 5, what is x?
Answer:
16v
Step-by-step explanation:
3x + 11 = 4x - 5
11+5 = 4x -3x
x = 16
I hope im right!!
What angle is not coterminal with -53
Answer:
I honestly don't know I'm just trying get my points up
Step-by-step explanation:
Sorry bestie
Determine which of the following ordered pairs satisfies the given system of equations.
{−2x+y=8y=2x5−8
Answer:
(-3,2)
Step-by-step explanation:
∠A and ∠B are complementary angles. The measure of ∠A is twice the measure of ∠B. Write and equation to represent the complementary angle relationship between ∠A and ∠B. Use the equation to find the measure of ∠A and ∠B. Show all of your work
Answer:
[tex]\text{Equation: }2\angle B+\angle B=90\\\angle A=60^{\circ},\\\angle B=30^{\circ}[/tex]
Step-by-step explanation:
Complimentary angles are angles that add up to 90 degrees. Therefore, we can write the following system of equations:
[tex]\begin{cases}\angle A=2\angle B,\\\angle A+\angle B=90\end{cases}[/tex]
Solving, we obtain the equation:
[tex]2\angle B+\angle B=90,\\3\angle B=90,\\\angle B=\boxed{30^{\circ}}[/tex]
Plugging this back in to our first equation, we get:
[tex]\angle A=2(30)=\boxed{60^{\circ}}[/tex]
Answer:
∠A = 60
∠B = 30
Complementary angles are angles that add up to 90 degrees, and the measure of ∠A is twice as much as ∠B
60 + 30 = 90
60 / 30 = 2
60 / 2 = 30
Step-by-step explanation:
The other answer is still correct, just thought I'd make it simpler.
Hope this helps!
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
We have four copies of '2' and one copy of '5' multiplied together
This is the same as saying 2^4*5
=========================================
Explanation:
Divide 80 over the smallest prime factor, which is 2
80/2 = 40
Divide that result over 2
40/2 = 20
Keep going until you cannot divide by 2 anymore
20/2 = 10
10/2 = 5
We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.
Therefore: 2*2*2*2*5 = 80
In shorthand, this condenses to 2^4*5 = 80
The factor tree is shown below. Other factor trees are possible.
LOOK AT THE IMAGES PLEASE! (IF YOU ARE RIGHT I WILL MARK YOU THE BRAINLIEST!)
Answer: B
Step-by-step explanation:
4 2/3+1 3/4 give your anwser as a mixed number
Answer:
5 6/12 or 5 1/2
Step-by-step explanation:
You plant a tree that is 36 inches tall. After one year, the tree is 43 inches tall. Which expression describes the percent of increase in the tree's height?
It was not letting me add my answer for some reason, but my image is attached below. I hope this helped you.
Find the coterminal angle for 120\deg
Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.
What’s the exact volume of the cone?
Answer:
3.......................
?! if you make $20,800 a year, what is your weekly salary? there are 52 weeks in a year
Answer:
you would make 400 each week
Step-by-step explanation:
HELP ME PLEASE I NEED HELP
1. The prism below measures 6 inches x 3 inches x 10 inches. A diagonal
line, d, is drawn inside the prism. Find the length of the diagonal, d. *
HELP!!!!
Answer:
C. 12.04 inches
Step-by-step explanation:
Diagonal of a prism cam be solved using the extension of Pythagorean theorem which is given as:
d² = x² + y² + z²
x = 10 in.
y = 6 in.
z = 3 in.
d² = 10² + 6² + 3²
d² = 100 + 36 + 9
d² = 145
d = √145
d = 12.0415946
d = 12.04 inches (nearest hundredth)
Xavier needs to bike a minimum of 80 miles this week for his training. If he has already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week?
A. x ≥ 12
B. x ≥ 11
C. x ≤ 10
D. x ≥ 10
Answer:
B x >= 11
Step-by-step explanation:
80 miles total, 14 miles already done => 80-14=66 miles left.
66 miles distributed evenly across 6 days means 66/6=11
amelia used 6 liters of gasoline to drive 48 kilometers.
how many kilometers did amelia drive per liter?
at that rate, how many liters does it take to drive 1 kilometer?
The sportswear department had net sales of $550,000 last year, with markdowns of $33,000. This year plan sales are
$575,000. If the buyer is planning the same percent of markdowns this year as last year, what is the plan markdown dollars
for this year?
Answer:
$34,500
Step-by-step explanation:
1% of 550,000 = 5,500
33,000÷ 5,500 = 6%
1% of 575,000 = 5,750
5,750 x 6 = 34,500
Use properties of multiplication to show why 4 x 50 = 8 x 25.
Enter your answers in the boxes.
4 x 50 = 4 x
x 25) = (4 x
1) x 25 =
D) x 25
Given:
[tex]4\times 50 =8\times 25[/tex]
To find:
The steps to prove the given statement by using the properties of multiplication.
Solution:
We have,
[tex]4\times 50 =8\times 25[/tex]
Taking left hand side, we get
[tex]LHS=4\times 50[/tex]
[tex]LHS=4\times (2\times 25)[/tex]
[tex]LHS=(4\times 2)\times 25[/tex] (Associative property of multiplication)
[tex]LHS=8\times 25[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
Find the measure of each numbered angle or are.
Answer:
<2 = 133degrees
<1 = 135degrees
Step-by-step explanation:
From the diagram, the angle <2 and 47 are supplementary, hence;
<2 + 47 = 180
<2 = 180 - 47
<2 = 133degrees
To get <1;
47 = 1/2(<1 - 41)
47 * 2 = (<1 - 41)
94 = <1 - 41
<1 = 94 + 41
<1 = 135degrees
6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that would ban the possession of handguns. In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law. How large a sample size is needed to be 95% confident with a margin of error of E
Answer:
A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.
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 of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.
This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample size is needed to be 95% confident with a margin of error of E?
A sample size of n is needed, and n is found when M = E.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]
[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]
[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]
A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.
a stack of 20 identical boxes is 140cm tall Stefan takes 3 boxes of the top how tall Is the stack now
Answer:
119 cm
Step-by-step explanation:
20 - 3 = 17
(140/20)(17) = 119 cm
-5+(63/9)
Can someone help me please.
Answer:
2
Step-by-step explanation:
Solve for X in the equation
x^2 -4x -9 =29·
Answer:
x = 8.481 or -4.481
Step-by-step explanation:
x^2 - 4x - 9 = 29
x^2 - 4x - 9 - 29 = 0
x^2 - 4x - 38 = 0
x1
= −(−4) − √ (−4)2 − 4×1×(−38)
2×1
= 4 − 2 × √ 42
2
≈ −4.481
x2
= −(−4) + √ (−4)2 − 4×1×(−38)
2×1
= 4 + 2 × √ 42
2
≈ 8.481
x = 8.481 or -4.481
Have a nice day!
Find the value of X
pls pls it’s my final !!!
Answer:
Step-by-step explanation:
4/x = x/9
1 = [tex]x^{2}[/tex] / (9*4)
1 = [tex]x^{2}[/tex] / 36
36 = [tex]x^{2}[/tex]
6 =X
From the information in the diagram, what is mZH?
HURRY PLEASE I NEED HELP ON THIS!!
Answer:
30 degrees
Step-by-step explanation:
102+48=150
180-150= 30 degrees
Hope this helped! :)
HI CAN SOMEONE HELP ME FIND THE VOLUME IN THIS MATH QUESTION TY! :)
Answer:
36/7 ft³ or 5 1/7 ft³Step-by-step explanation:
The volume of the rectangular prism is:
V = lwhV = 5/9*1/5*4/7 = 36/7 ft³ or 5 1/7 ft³A candy company wants to create a wrap around label for a candy bar which will go around the candy bar. The candy bar is in the shape of a triangular prism where the triangle is an isosceles triangle. The company packages 24 candy bars in each case. How many square centimeters of paper will be needed to create labels for a case of candy bars?
Answer:
b
Step-by-step explanation: