The fraction of the original surface area to the new surface area is 1/100.
How to find the fraction of the original surface area to the new surface area?The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.
Since the ratio of the new side to original length is 1/10.
Thus, the fraction of the original surface area to the new surface area will be the square of the ratio of the length. That is:
fraction of length = new length/ original = 1/10
fraction of area = (1/10)² = 1/100
fraction of area = new area/original area
1/100 = new area/original area
new area = 1/100 * original area
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2. Consider the following equation.
12 + 1.5x > 15 + 0.5x
Use the inequality to write a real-world problem situation.
Answer:
x>3
Step-by-step explanation:
12minus15>0.5x minus 1.5x gives as x>3
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
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The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
HELP ASAP!!! This is a geometry problem I need help with!!
Answer: 8
Step-by-step explanation:
10/2=5
6/2=d=3
c/2=4
c=8
Answer:
C = 8
Step-by-step explanation:
If the triangles are similar, then the sides are proportional. And if the hyptenuse BA is 2 times larger than the hypotenuse PR (10:5), then the long leg "C" is 2 times larger than the long leg QP. That is, its length is 4 x 2 = 8
Find an equation of the line passing through the given points: (-4,21) and (0,1)
Step-by-step explanation:
You want to find the equation for a line that passes through the point (4,21) and has a slope of 01.
First of all, remember what the equation of a line is:
y = mx+b
Where: m is the slope, and b is the y-intercept
To start, you know what m is; it's just the slope, which you said was 01. So you can right away fill in the equation for a line somewhat to read:
y=01x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(4,21). When x of the line is 4, y of the line must be 21.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,21).
stered comsident p43336280840
Save the expression by solating the variable Hemember to balance the equation in each step you take
2
0-6
The result of the expression 20 - 6 is 14.
To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.
Step 1: Start with the given expression, 20 - 6.
Step 2: Evaluate the subtraction operation: 20 - 6 = 14.
Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.
This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.
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How to do this question
Answer:
\(0\)
Step-by-step explanation:
Given:
\(f(x) = \begin{cases} -x -2 &, &x < 0 \\ x &, &0 \leqslant x < 3 \\ x^2 -1 &, &3 \leqslant x \end{cases}\)
Solving for \(f(0)\):
\(f(0) = x \text{ when } x = 0 \\ f(0) = 0\)
Answer:
= 0Step-by-step explanation:
carry on learning ❤️move fast
For any exponential function of the form f(x) = a · b^x where b≠0, what is the y-intercept of the graph of f(x)?
(0,a)
(1,0)
(a,0)
(0,1)
Answer:
1) (0,a)
Step-by-step explanation:
f(0) = a. b^0 = a. 1 = a
=> (0,a)
What will be the result of substituting 2 for x in both expressions below?
+4
x+6-x-2
O Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
O Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
O One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not
equivalent.
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Equivalent Algebraic expressions:Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.
Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.
For example, d + d = 2d
This is an example of an algebraic expressionns.
Given the algebraic expressions,
\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)
Substituting 2 for x in the first expression gives:
(1/2 × 2) + 4
1 + 4
5
Substituting 2 for x in the second expression gives:
2 + 6 - (1/2 ×2) - 2
8 - 1 - 2
8 - 3
5
Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
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what is the square root of 547
We can estimate the square root to be between 23 and 24 by hand, and using a calculator we can see that the exact value is 23.388
How to get the square root of 547?
Let's solve this without using a calculator.
To check this, we can just take integer numbers and square them and see which one gives an outcome equal to or closer to 547.
For example, if we start with 20 we get:
20*20 = 400
Let's go higher, if we take 23:
23*23 = 529
The next one is 24:
24*24 = 576
Then we can estimate:
√529 < √547 < √576
23 < √547 < 24
So our number is between 23 and 24, now using a calculator we can get the exact value:
√547 = 23.388
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Plea helpppppp asap, Ik This is easy for you guys but yeah I’m just stupiad
Answer:
Figure 3
Step-by-step explanation:
That is a trapezoid, not a parallelogram.
The length of a rectangle is four more than twice its width. The perimeter is 116 in. Find the length of the rectangle.
Answer:
Length is 38.7
Width is 19.3
4x length to 2x width
4+2=6
6x =116
x = 58/3
4 x 58/3 = 77.3
2 x 58/3 = 38.7
4:2
2:1
77.3/2 = 38.7
38.7/2 = 19.3
38.7 + 38.7 + 19.3 + 19.3 = 116
They work-infested $18,000 into accounts, one yielding 4% interest and the other yielding 12%. If he received a total of $1,280 and interest at the end of the year, how much did he invest at 4%?
Answer:
$11,000
Step-by-step explanation:
Let amount invested for 12% yield be p . Amount for 4% yield is therefore (18000-p)
Interest for 12%: 12% of p=0.12p
Interest for 4%: 4% of (18000-p)=0.04(18000-p)=720-0.04p
Total interest:
=0.12p + (720-0.04p)
=0.12p-0.04p+720
=0.08p+720
But we already know the total interest is 1280
Therefore: 0.08p+720=1280
0.08p=1280-720
0.08p=560
p=560÷0.08
p=7000
Therefore at 4% the person invested:
(18000-p)
18000-7000
$11,000
Marcus was interested in whether the frequency that students check emails impacts their grades in the class. He categorized students into three groups. Those who checked email daily, those who checked email at least 2x a week (but not every day), and those who checked email less than 2x a week. Below are the GPAs for the students he studied. Conduct the steps of hypothesis testing on these data.
Table of data: GPAs for students separated by how often they check their email
Daily 2x a week Less than 2x a week
3.6 3.5 2.9
3.5 3.4 3.0
3.7 3.2 3.2
4.0 3.2 2.7
The steps to conduct the steps of hypothesis testing on these data are:
State the null hypothesis (H0) as well as the alternative hypothesis (H1):Select the significance level (alpha): Select the right test statistic:Formulate the decision rule:Compute the test statistic as well as the p-value:Decide on a decision.What is the hypothesis?The hypothesis will be:
H0: Email frequency does not affect grades.H1: Email frequency affects grades.Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.
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What is the volume of the pyramid in cubic millimeters
Answer:
\(V=\dfrac{1}{3}\times A\times h\)
Step-by-step explanation:
The volume of the pyramid is given by the formula as follows
\(V=\dfrac{1}{3}\times A\times h\)
A is the area of the base
h is height of the pyramid
If the area and height are in millimeters, the volume of the pyramid will be in cubic millimeters.
can u pls and this question
Answer:
option a: -120
Step-by-step explanation:
Multiply [-8x4/11]x[(-0.1)x22]
Answer:
6.4
Step-by-step explanation:
[-8x4/11]×[(-0.1)×22]
= [-32/11]×[-2.2]
= -32/11×-22/10
= 32/5
= 6.4
Freemont run club surveyed a random sample of 30 of their members about their running habits
The reasonable estimate would be 25
How to solve for the estimateWe have to solve this using the rule of 3
9 out of 30 members said that they run more than 5 days a week.
We will form the equations
when 9 ran = 30 menbers
when n ran = 84 members
we will then cross multiply
84 x 9 = 30 x n
n = 25.2
When we round this, the reasonable estimate would be 25
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Complete question
Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.
There are 84 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?
What is expression is equivalent to 210,704? Is it 20,000+10,000+700+4. 200,000+10,000+700+4. Or 200,000+10,000+700+40??
Answer:
200,000+10,000+700+4
Step-by-step explanation:
A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 41 states. What is the probability that she selects the route of three specific capitals?
Gregori wants to buy a new pair of shoes that cost $40. His mom pays 75% of the cost and Gregori pays 25%. How much do they each pay for the shoes
Answer:
his mom paid 30 and he paid 10 I did 40÷4 the got 10 then times by how many 25% each had
Step-by-step explanation:
In order to find out how much they both each pay, you would have to put two places in front of the percentage of the payment.
which must be true in order for the relationship zyx~wvu to be correct
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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For a sample size of 90 and a sample proportion of 0.5, what is the standarderror of the sampling distribution? Round your answer to three decimalplaces.A. 0.045B. 0.039C. 0.064D. 0.053
The standard error can be found by using the expression:
\(\begin{gathered} SE_p=\sqrt[]{\frac{p(1-p)}{n}} \\ SE_p=\sqrt[]{\frac{0.5\cdot(1-0.5)}{90}} \\ SE_p=\sqrt[]{\frac{0.5\cdot0.5}{90}} \\ SE_p=\sqrt[]{\frac{0.25}{90}} \\ SE_p=\sqrt[]{0.0027777777777778} \\ SE_p=0.053 \end{gathered}\)The answer is D.
Please help ASAP! The best answer get brainliest
Answer: b)>3
a) for the graph
Step-by-step explanation:
Given: In this figure, `/_AED` and `/_BEC` form a pair of vertical angles. Prove: `/_AED ~= /_ BEC `. Match each statement to its corresponding reason. Drag the items on the left to the correct location on the right.
Answer:
Step-by-step explanation:
The matched statement to its corresponding reason for the given alternate interior angles as:
Given: Let points A, B, and C form a triangle.
definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Congruent angles: m∠1=m∠4, m∠3 = m∠5
Linear pair theorem: m∠4+m∠2+m∠5 = 180°
As per the shown figure,
Given:
Let points A, B, and C form a triangle.
Defining a parallel line and labeling angles:
Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Alternate Interior Angles Theorem:
∠1=∠4
∠3 = ∠5
Congruent angles have equal measures:
m∠1=m∠4
m∠3 = m∠5
Definition of a straight angle and angle addition:
m∠4+m∠2+m∠5 = 180°
Substitution:
m∠1 + m∠2 +m ∠3 = 180°
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48:23 +4.10 3/4
Help pls....
Answer:
48:26.075
Step-by-step explanation:
A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
The answer is 0.7%
Hope this helped!
Answer:
0.6%
Step-by-step explanation:
Percentage = 24/4000 *100
=0.6%
Which of the following functions is graphed below?
A. y=|x-4|-2
B. y= |x-4|+2
C. y =|x+4|-2
D. y =|x+4|+2
Answer: C, y=|x+4|-2
Step-by-step explanation:
I have access to a Desmos Calculator.
.In a different biology lab, a population of single-cell parasites also reproduces hourly. An equation which gives the number of parasites, , after hours is Explain what the numbers 100 and 3 mean in this situation.
Answer: p=50 h=2
Step-by-step explanation:
so its 50 x 2=100 is the answer then u add 3
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.