Answer:
Option 1
Step-by-step explanation:
The square of a real number is always non-negative.
Given f(x) = x2 + 2x , solve for x where f(x+2) = 0.
hELP ME PLEASE
Where is the blue dot on the number line?
Answer: 5
Step-by-step explanation: every mark counts as 1 and the dot is 5 marks away from 0 in the positive direction
Answer:
The point is at 5
Step-by-step explanation:
if you count from the positive 1 and count upwards, count the tickmarks and then you land on positive 5
Hope this helps!
Find the missing value. Hint: Use the number line to find the missing value. -9-+ blank = -3
Answer:
-9 + 6 = -3
Step-by-step explanation
A negative number plus a positive number gets a higher negative number. For example, -6 + 1 = -5. Since the positive number is more than the negative number, think of it like subtraction. 6 - 1 = 5, so -6 + 1 = -5. So the answer to -9 + 6 is -3.
If a confidence interval is known to be (13.67, 17.53), what would be its margin of error?
13.67
1.93
3.86
0.97
Answer:
0.97
Step-by-step explanation:
17.53-13.67=3.86
3.86/4=0.965=0.97
For a confidence interval of (13.67, 17.53), the margin of error would be 1.93.
What is the Margin of Error?It is defined as the range of values beneath and above the sample statistic in a confidence interval.The margin of error can be used for calculating accuracy of the results we produced.The margin of error is known as the half of the width of the complete confidence interval.Confidence IntervalConfidence interval is used to approximately find the value of a population parameter through a certain level of confidence.Each confidence interval comprises of a lower bound and an upper bound. Confidence Interval = (lower bound, upper bound)Now, we have been given the confidence interval of (13.67, 17.53), hence the width of this confidence interval can be found as:
Width of confidence interval = 17.53 - 13.67
Width of confidence interval = 3.86
Since, we know the margin of error is the half of the width of an entire confidence interval, hence we can write:
Margin of Error = 1/2 × (Width of confidence interval)
Margin of Error = 1/2 × (3.86)
Margin of Error = 1.93
Therefore, the margin of error for a given confidence interval is 1.93.
Hence second option i.e. 1.93 is correct.
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5 3/4 divided by 1 1/2
Answer- 46/12 sipplify you get 23/6= 3 5/6
Answer:
3 5/6
Step-by-step explanation:
23/4 divided by 3/2
= 23 * 2
4 * 3
= 46/12 simplify by doing long divison.
= 3 5/6
Hope this helps!
Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12
cm and is the longest side of ABC. Side DE measures 8 cm and is the
longest side of DEF.
1. Triangle ABC is a scaled copy of triangle DEF with what scale
factor?
2. Triangle DEF is a scaled copy of triangle ABC with what scale
factor?
Answer:
1. The scale factor here is 1.5
2. The scale factor here is 2/3
Step-by-step explanation:
Here, we shall be dealing with scales of triangles.
we have two triangles;
ABC and DEF
longest sides are in the ratio;
12 : 8
1. What scale factor translates DEF to ABC?
The ratio of the length can be beaten down to 3:2
So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC
So the scale factor here is 1.5
2. This is like the other way round of what we have above.
By multiplying the sides of ABC by 2/3, we shall have the sides of DEF
Which is the best name for numbers that describe distances on a map?
Answer: Mapping and Cartography
Step-by-step explanation:
Hope this helps:)
Solve for k.
(2k + 2)=(k + 5)
Answer:
k=3
Step-by-step explanation:
Move k over to the 2k side and 2 to the five 5-2=3 and 2k-k=k
k+2=5
k=3
Whats the answer I need help now pls
Answer:b is -6
Step-by-step
The blood platelet counts of a group of women have a bell-shaped distribution with a mean of and a standard deviation of . (All units are 1000 cells/L.) Using the empirical rule, find each approximate percentage below.
a. What is the approximate percentage of women with platelet counts within standard of the mean, or between and ?
b. What is the approximate percentage of women with platelet counts between and ?
Answer:
(a) Approximately 95% of women with platelet counts within 2 standard deviations of the mean.
(b) Approximately 99.7% of women have platelet counts between 65.2 and 431.8.
Step-by-step explanation:
The complete question is: The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 61.1. (All units are 1000 cells/mul.) using the empirical rule, find each approximate percentage below.
a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 126.3 and 370.7?
b. What is the approximate percentage of women with platelet counts between 65.2 and 431.8?
We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 61.1.
Let X = the blood platelet counts of a group of women
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 248.5
[tex]\sigma[/tex] = standard deviation = 61.1
Now, the empirical rule states that;
68% of the data values lie within 1 standard deviation away from the mean. 95% of the data values lie within 2 standard deviations away from the mean. 99.7% of the data values lie within 3 standard deviations away from the mean.(a) The approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 126.3 and 370.7 is given by;
As we know that;
P([tex]\mu-2\sigma[/tex] < X < [tex]\mu+2\sigma[/tex]) = 0.95
P(248.5 - 2(61.1) < X < 248.5 + 2(61.1)) = 0.95
P(126.3 < X < 370.7) = 0.95
Hence, approximately 95% of women with platelet counts within 2 standard deviations of the mean.
(b) The approximate percentage of women with platelet counts between 65.2 and 431.8 is given by;
Firstly, we will calculate the z-scores for both the counts;
z-score for 65.2 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{65.2-248.5}{61.1}[/tex] = -3
z-score for 431.8 = [tex]\frac{X-\mu}{\sigma}[/tex]
= [tex]\frac{431.8-248.5}{61.1}[/tex] = 3
This means that approximately 99.7% of women have platelet counts between 65.2 and 431.8.
If 75% of students and Toby's grade voted how many students are in Toby's grade
Not the answer
What is the total number of students?
Answer:
number of students who voted= 75%= 150
75% of total number of students= 150
The total number of students in Toby's grade is 200.
Step-by-step explanation:
fiji apples are priced at $1.79 per pound if hayden purchases 2.5 pounds of apples what will the total price of his purchase be
The price for 2.5 pounds is $4.475
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
price of one pound= $1.79
So, price of 2.5 pounds = $1.79 * 2.5
= $4.475
Hence, the price for 2.5 pounds is $4.475.
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Debbie’s goal is to run 10 miles each week. To the nearest hundredth, how far off was Debbie from reaching her goal? Show your work.
Answer:
89.75%
Step-by-step explanation:
Add up all the days, and you'll get 8.975 divided this by 10 and you get .8975 Proceed to multiply this by 100 to get a percentage and the answer 89.75% is received.
At 1.03 miles Debbie is far from reaching her goal.
Given that, Debbie’s goal is to run 10 miles each week.
How to add decimals?While adding decimals, we need to remember some rules that would be helpful and make the addition easier.
Align the decimal numbers in such a way that they are placed in the correct place according to their place values.Always convert the decimal numbers to like decimals, wherever needed.Add zeros in the places wherever the length of the decimal numbers is not the same.Now, add the numbers and place the decimal point aligned with the given decimal points.Now, 1 3/4 can be written as 1.75 and 7/8 = 0.875
Total distance Debbie’s run from Monday to Friday = 2.25+2+1.75+0.875+2.1
=8.975
So, the remaining distance = 10-8.975= 1.025
≈1.03 miles
Therefore, at 1.03 miles Debbie is far from reaching her goal.
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What is the area of this figure? 16 km 10 km 6 km 16 km 8 km 16 km 8 km 24 km 22 km 9 km 16 km 5 km IXL
Answer:
umm let me see
Step-by-step explanation:
Rewrite the following without an exponent.
2-3
Answer:
the answer is 1/8
Step-by-step explanation:
2^-3= 1/2^3= 1/8
The term 2⁻³ can be written without an exponent will be 1/8.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that the given term is 2⁻³.
Any non-zero number raised to a negative power, according to the rule, equals its counterpart raised to the opposite positive power. In other words, an equation with a negative exponent is identical to the expression with a different exponent sign divided by 1.
=2⁻³
The following law of exponent is followed,
a⁻ⁿ=1/aⁿ
=2⁻³
=1/2³
1/8
Thus, the term 2⁻³ can be written without an exponent will be 1/8.
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Alaina wrote a check for $450.89. She only has $361.89 in her account. What will her account balance
be after the check goes through?
Answer:
her account balance will be -$111.00
Name a pair of adjacent angles in the diagram above.
A. 1 and 2
B. 7 and 9
C. 5 and 6
D. 7 and 8
Answer:
Step-by-step explanation:
Given: 3x + y = 1.
Solve for y.
O y=-3x + 1
O y=-3x - 1
O y = 3x - 1
Answer:
y = -3x + 1
Step-by-step explanation:
You're basically wanting to change the equation to slope-intercept.
3x + y = 1
-3x -3x Remember that what you do to one side ya gotta do to the other
y = -3x + 1
Hope that helps and have a great day!
find all couples (p,q) of prime numbers, such that p-q and p+q are prime numbers as well
Answer:
(2,5), (2,7)
Step-by-step explanation:
Because all prime numbers besides two are odd, and and odd number plus an odd number is an even number, there should be no solutions, unless, one of those numbers is not odd. In this case, there is only one non-odd prime number, that being two. So now that you know that one of the numbers is two, and has to be two, you have a little space finding the next number. The only restrictions its that its prime, if you add two you will get another prime number, and if you subtract two you will also get a prime number. In this case, both five and seven work. Some may say that three also works, but if you subtract two from three you get one, which is considered a special number, along with zero. Hope this helped! :D
Couple prime number of given quastion is (p,q)=(3,2) .
What is prime number?A prime number is defined as a whole number whose only factors are 1 and itself.
According to the given condition
Let, p=3 and q=2
⇒ p-q= 3-2 = 1 (prime)
⇒p+q= 3+2 = 5 (prime)
Now, p=5 and q=3
⇒ p-q= 5-3 = 2 (prime)
⇒p+q= 5+3 = 8 ( not prime)
(p,q)=(3,2) is the unique solution
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Find the midpoint of XY, with X(-5,7) and Y (-7,5)
Answer:
The answer is
( - 6 , 6)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
X(-5,7) and Y (-7,5)
The midpoint is
[tex]M = ( \frac{ - 5 - 7}{2} \: , \: \frac{7 + 5}{2} ) \\ = ( - \frac{12}{2} \: , \: \frac{12}{2} )[/tex]
We have the final answer as
( - 6 , 6)Hope this helps you
4. Mr. Ledic works in a coffee shop approximately nine miles from her apartment. She
bikes every day from her apartment to the coffee shop and then back to her
apartment in the evening. On her way to work, she always stops halfway through to
meet her best friend at a park. If the distance from Mr. Ledic's apartment to the
park is (5x + 6) miles and the trip from the park to the coffee shop is (23x - 8) miles
long, then what is the value of x?
Answer: 0.3929
Step-by-step explanation:
From the question, we are going to assume that the apartment, park and shop lies on a straight line.
We've been told that Mr. Ledic's apartment to the park is (5x + 6) miles and the trip from the park to the coffee shop is (23x - 8) miles while the coffee shop is nine miles from her apartment. This vsn be written as:
(5x+6)+(23x-8) = 9
28x+6-8=9
28x-2=9
28x=9+2
28x=11
x=11/28
x = 0.3929
Therefore, the value of x is 0.3929
what is the area? round answer
Answer:
Look at the picture below
Step-by-step explanation:
Howdy! My name is Christian and I’ll try and help you with this question!
Date: 9/29/20 Time: 8:51 am CST
Answer:
314 cm^2
Explanation:
The formula for the area of a circle is A=3.14r^2
So we have our diameter so to get our radius we just divide that by 2.
Equation:
3.14(10^2)
314
Hope this helps you with your question!
Sincerely,
Christian
How is place value used to model and find products when multiplying 2 digit numbers?
Give an example to explain your answer.
Please do explain and with numbers and multiple.o
Answer:
1 x 4=4 (Both numbers are in the ones place, so their value are ones.)
Step-by-step explanation
In order to use place value to multiply, we use the distributive property to break apart each place. Always begin with the ones place. We can break apart a 2-digit by 1-digit number into 2 simpler problems. 1 x 4=4 (Both numbers are in the ones place, so their value are ones.)
This is about understanding Place Value.
An example of multiplication of two digit numbers has been done using Place value method.
Place value is simply defined as the value of each digit in a given number.
For example, if we have a number to be 152, the place values are;
1 is 100; 5 is 50 and 2 is 2. This means that first number from the right is units, second from right is tens and third from right is hundreds.
Now, in a two digit number of say 37, using place value means that;3 is 30 and 7 remains 7.
let us use place value in addition before we answer the question.If we want to add 47 + 52;
47 is; 40 and 7 while 52 is 50 and 2.
To add this, we will add the tens digit together and the units together to get; (40 + 50) + (7 + 2) = 99
Now, in multiplication; 47 × 52;47 is; 40 and 7 while 52 is 50 and 2.
Using the distributive property, we have;
(40 + 7) × (50 + 2)
⇒ 40(50) + 40(2) + 7(50) + 7(2)
⇒ 2000 + 80 + 350 + 14
⇒ 2444
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1) Find the value of x: 8x + 1 14x + 3
What is the vertex of the graph of y = x^2 + 4x?
A.(-2,-12)
B.(-2,-8)
C.(-2,-6)
D.(-2,-4)
What is the coefficient of determination for Data Set B? Full Data Set: Data Set A Data Set B Data Set C x y x y x y 3.6 8.9 3.1 8.9 2.8 8.9 8.3 15.0 9.4 15.0 8.1 15.0 0.5 4.8 1.2 4.8 3.0 4.8 1.4 6.0 1.0 6.0 8.3 6.0 8.2 14.9 9.0 14.9 8.2 14.9 5.9 11.9 5.0 11.9 1.4 11.9 4.3 9.8 3.4 9.8 1.0 9.8 8.3 15.0 7.4 15.0 7.9 15.0 0.3 4.7 0.1 4.7 5.9 4.7 6.8 13.0 7.5 13.0 5.0 13.0 (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) The coefficient of determination for Data Set B is nothing%. (Type an integer or decimal rounded to the
Answer: the coefficient determination of dataset B is 1.00
Step-by-step explanation:
Given Dataset B
x y xy x² y²
3.1 8.9 27.59 9.61 79.21
9.4 15.0 141 88.36 225
1.2 4.8 5.76 1.44 23.04
1 6 6 1 36
9 14.9 134.1 81 222.01
5 11.9 59.5 25 141.61
3.4 9.8 33.32 11.69 96.04
7.4 15.0 111 54.76 225
0.1 4.7 0.47 0.01 22.09
7.5 13 97.5 56.25 169
∑x=47.1, ∑y=104, ∑xy=616.24, ∑x²=329.12, ∑y²=1239
Now to find the coefficient determination ( r² )
we need to first find r
r = { n(∑xy) - (∑x)(∑y) } / { √( [n∑x² - (∑x)²] [n∑y² - (∑y)²] )
so we substitute
r = { 10(616.24) - (47.1)(104)} / { √( [10(329.12) - (47.1)²] [10(1239) - (104)²] )
r = 1264 / 1299.45
r = 0.97
now the coefficient determination is ( r² )
so coefficient determination = r²
= (0.97)²
= 0.9409 ≈ 1.00 (integer)
Therefore the coefficient determination of dataset B is 1.00
Derek is solving the problem below for this whole 712÷1118 is equal to
Answer:
[tex]\frac{356}{559}[/tex]
I hope this helps!
Write 4
5
8
as an improper fraction.
Answer:
37/8
Explanation:
4x8=32
32+5=37
Could I please have BRAINLIEST?
A-What fraction is shaded
B-what percentage is shaded
Answer: A) 2/3 is shaded. B) 66.67% is shaded.
Step-by-step explanation:
The whole big triangle holds 9 total triangles in it.
Out of the 9 triangles 6 of them are shaded so the fraction will be 6/9 which reduces to 2/3.
Now convert 2/3 to a decimal to find what percentage is shaded.
2/3 = 0.6666...
0.6666 * 100 = 66.666..
66.666 as a percent is 66.67%
6 inches is how many centimeters?
Hint: 1 in = 2.54 cm
Round your answer to the nearest tenth.
Answer:
15.24
Step-by-step explanation:
hope this helps :)
Answer:
15.24cm or 15.2cm
Step-by-step explanation:
6in × 2.54cm = 15.24cm