Answer:
The smaller number = -1
The larger number = 3
Step-by-step explanation:
Let the smaller number = a
Let the larger number = b
The larger of two numbers is 6 more than 3 times the smaller.
b = 3a + 6........... Equation 1
If the twice the larger number is increased by 3 times the smaller, the result is 3.
2b + 3a = 3........ Equation 2
Hence:
We Substitute 3a + 6 for b in Equation 2
2b + 3a = 3
2(3a + 6) + 3a = 3
6a + 12 + 3a = 3
9a = 3 - 12
9a = -9
a = -9/9
a = -1
b = 3a + 6........... Equation 1
b = 3(-1) + 6
b = -3+ 6
b = 3
Therefore,
The smaller number = -1
The larger number = 3
Which expression is equivalent to 174 :
(17")(17)
17-2
17-5
017-1
o 173
0 174
174 is equal to 174 if thats what the last one means
Answer:
174
Step-by-step explanation:
the option c is your answer
[tex]I \: hope \: it's \: help \: you \\ dear[/tex]
what is the Measure of <X <Y and <Z
Answer:
<x=60
z= 90
<y = 30
Step-by-step explanation:
<x=60 cause 180-120=60
z= 90 cause it is a right angle
<y = 30 cause 180-150 =30.
12. Which of the following is the value of x needed to make the equation
true? *
10 poin
-18 + 3x + x = -4x + 50
A. X = 11.3
B. X = 4.5
C. X = 8.5
D. X = -4.5
Back
Next
Page 3 of 11
Answer:
it will be c, x=8.5
Step-by-step explanation:
-18+4x=-4x+50
4x+4x=18+50
8x=68
x=8.5
The following data represent the weights (in grams) of a random sample of 50 candies.
0.87 0.88 0.82 0.90 0.90 0.84 0.84
0.91 0.94 0.86 0.86 0.86 0.88 0.87
0.89 0.91 0.86 0.87 0.93 0.88
0.83 0.95 0.87 0.93 0.91 0.85
0.91 0.91 0.86 0.89 0.87 0.84
0.88 0.88 0.89 0.79 0.82 0.83
0.90 0.88 0.84 0.93 0.81 0.90
0.88 0.92 0.85 0.84 0.84 0.86
Required:
a. Determine the sample standard deviation weight.
b. Use the Empirical Rule to determine the percentage of M&Ms with weights between 0.803 and 0.947 gram. Hint: = 0.875.
c. Determine the actual percentage of M&Ms that weigh between 0.803 and 0.947 gram, inclusive.
d. Use the Empirical Rule to determine the percentage of M&Ms with weights more than 0.911 gram.
e. Determine the actual percentage of M&Ms that weigh more than 0.911 gram.
Answer:
a)0.03558
b) 95%
c) 95.6985%
d) 16%
e)15.58%
Step-by-step explanation:
a) Determine the sample standard deviation weight.
Step 1
We find the Mean
Sum of terms/ Number of terms
Number of terms = 50
= 43.73/50
= 0.8746 grams
≈ 0.875 grams
Formula for sample standard deviation = √(x - Mean)²/n - 1
= √0.062042/50 - 1
= √0.001266163265
= 0.03558318796 grams
The empirical rule formula:
1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
b. Use the Empirical Rule to determine the percentage of M&Ms with weights between 0.803 and 0.947 gram. Hint: = 0.875.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
μ – 2σ
0.875 - 0.03558 × 2
= 0.80384
μ + 2σ
= 0.875 + 0.03558 × 2
= 0.94616
Hence, 95% of M&Ms with weights between 0.803 and 0.947 gram.
c. Determine the actual percentage of M&Ms that weigh between 0.803 and 0.947 gram, inclusive.
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For x = 0.803
= 0.803 - 0.875/0.03558
= -2.02361
Probability value from Z-Table:
P(x = 0.803) = 0.021505
For x = 0.947
= 0.947 - 0.875/0.03558
= = 2.02361
Probability value from Z-Table:
P(x = 0.947) = 0.97849
Hence,
P(x = 0.947 ) - P(x = 0.803)
= 0.97849 -0.021505
= 0.956985
Converting to percentage
= 0.956985 × 100
= 95.6985%
d. Use the Empirical Rule to determine the percentage of M&Ms with weights more than 0.911 gram.
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
=Mean = 0.875
Standard deviation = 0.03558
μ + σ
0.875 + 0.03558
= 0.91058
≈ 0.911
Hence, 68% of M&Ms with weights more than 0.911 gram.
Therefore, percentage of M&Ms with weights more than 0.911 gram, is on the right hand side(one side of the distribution)
=( 100 - 68)%/2
= 32%/2
= 16%
e. Determine the actual percentage of M&Ms that weigh more than 0.911 gram
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean = 0.875
Standard deviation = 0.03558
x = 0.911
= 0.911 - 0.875/0.03558
= = 1.0118
Probability value from Z-Table:
P(x<0.911) = 0.84418
P(x>0.911) = 1 - P(x<0.911) = 0.15582
Converting to percentage =
0.15582 × 100
= 15.58%
joe and mark each make a number pattern joe starts with 18 and uses the rule add 3 mark starts with 28 and uses the rule 3 which statement about corresponding terms in the pattern is true Each term in marks pattern is 3 more than the corresponding term in joes pattern? each term in marks pattern is 10 more than the corresponding term in joes pattern ? (C) the difference between a term in marks pattern and the corresponding term in joes patter is always a multiple of 4 ? D) the difference between a term in marks pattern and the corresponding term in joes pattern is always a multiple of 5?
Answer:
Each term in marks pattern is 10 more than the corresponding term in joes pattern
Step-by-step explanation:
Given
Joe
[tex]Start = 18[/tex]
[tex]Additional = 3[/tex]
Mark
[tex]Start = 28[/tex]
[tex]Additional = 3[/tex]
Required
Determine which option answers the question
From the question, we have that Mark and Joe have the same additional rule of increment.
This implies that, the difference of each term is the same as the difference of the starting number of both:
Since Mark started at a higher number than Joe, the difference can be said to be.
[tex]Difference = Start_{Mark} - Start_{Joe}[/tex]
[tex]Difference = 28 -18[/tex]
[tex]Difference = 10[/tex]
Hence:
Option B answers the question
help please i need this done and dont understand
Answer:
guuvugvuuvpiv
Step-by-step explanation:
boogivogovivivci
Forty percent of seeds from maize (modern-day corn) ears carry single spikelets, and the other 60% carry paired spikelets. A seed with single spikelets will produce an ear with single spikelets 29% of the time, whereas a seed with paired spikelets will produce an ear with single spikelets 26% of the time. Consider randomly selecting ten seeds.
a. What is the probability that exactly five of these seeds carry a single spikelet and produce an ear with a single spikelet?
b. What is the probability that exactly five of the ears produced by these seeds have single spikelets? What is the probability that at most five ears have single spikelets?
Answer:
a)P ( A∩S) = 0.116
b) P (x= 5) =0.272
c) P (at most 5) = 0.950647
Step-by-step explanation:
Let A be an event that the maize (modern-day corn) ears carry single spikelets and B be an event that the maize carry paired spikelets.
Then P (B) = 60% = 0.6
P (A) = 1-P (b) = 0.4
Let S be the event that seed with single spikelets will produce an ear with single spikelets and Q be the event that seed with paired spikelets will produce an ear with single spikelets .
Then
P (S) = 29% = 0.29
P (Q ) = 26% = 0.26
n= 10
We want to find out that exactly 5 single spikelets seeds produce single spikelets .
P ( A∩S) = P(A) *P(S) = 0.4 * 0.29= 0.116
Now we have to find that exactly five of the ears produced by these seeds have single spikelets.
b) P (x= 5) = P(A) *P(S)+ P(B) *P(R)
= 0.4 * 0.29 + 0.6 * 0.26
= 0.116+ 0.156= 0.272
At most five ears have single spikelets.This follows a binomial distribution where n is fixed and also p and q are same.
P ( x= at most 5) = 10C5 ( 0.116)^ 5(0.884)^5 +10C4 ( 0.116)^ 4(0.884)^6+10C3 ( 0.116)^ 3(0.884)^7+10C2 ( 0.116)^ 2(0.884)^8 +10C9 ( 0.116)^ 1(0.884)^9+10C10 ( 0.116)^ 0(0.884)^10
=0.002857+0.018145+ 0.0000234+0.2558+ 0.3824+ 0.29144
= 0.950647
Solve the triangle. Round to the nearest tenth.
Find c aswell
Answer:
Set your calculator to Degree mode.
a² = 17² + 20² - 2(20)(17)cos(89°)
a² = 677.13236
a = 26.0 in.
sin(89°)/26.02177 = (sin B)/17
sin B = 17sin(89°)/26.02177
B = 40.8°
C = 50.2°
the cell wall of which out of this is not made up of cellulose bacteria mango tree hydrilla cactus which one is correct
Answer:
The cell wall lies outside the plasma membrane. The plant cell wall is mainly composed of cellulose. Cellulose is a complex substance and provides structural strength to plants. Bacteria is not a plant therefore its cell wall is made up of peptidoglycan
Step-by-step explanation:
Hello! If you're seeing this, good luck with your schoolwork and have a nice day!
- Classmate
Shanghai Company sells glasses, fine china, and everyday dinnerware. It uses activity-based costing to determine the cost of the shipping and handling activity. The shipping and handling activity has an activity rate of $13 per pound. A box of glasses weighs 2 pounds, a box of fine china weighs 4 pounds, and a box of everyday dinnerware weighs 6 pounds.
a Determine the shipping and handling activity cost to be allocated to each unit of product.
Glasses $
Fine China $
Everyday dinnerware $
b Determine the total shipping and receiving costs to be allocated to the fine china if 5,100 boxes are shipped.
$
Answer:
glasses 13 times 2 =26 China 13times4=52 dinnerware 13 times 6= 78 fine China 5100 times 4 pounds =20400 pounds times 13 a pound =265200.
Please Subtract the Following Fractions.
12/16 − 2/4
Question 4 options:
10/12
10/16
4/16
¡Hola!
Your answer to the question is 10/12.
Step-by-step explanation:
By using the y^2-y^1/x^2-x^1
12-2= 10
16-4= 12
So your answer is 10/12.
Hope this Helps!
Express 4/10 as a decimal number, and identify another decimal number that is equal to it.
4/10 expressed as a decimal number is ___, which is equal to ___.
Answer:
0.4 or 0.40 or 0.400
Step-by-step explanation:
I am not sure what they are asking, but 4/10 is the same as 40%, which is the same as 0.4 or 0.40 or 0.400
Clara has a package of six cookies she wants to share equally among her friends if Claire make sure that each piece of cookie will be 3/5 of a cookie she can share cookies among blank friends
Answer:
Clara can feed 10 friend
I may be wrong, but I tried :P
Michelle already owns 26 hair bands, and additional hair bands are priced 1 for a dollar With $21 to spend on new hair bands how many total hair bands can Michelle own
Answer:
47
Step-by-step explanation:
starts off with 26 and has $21 to spend, if there each $1 then she can buy 21 more so the answer is 26+21 which = 47
Nancy is curious if the consumption of sweets, mainly donuts, increases as people get older. Nancy asked 200 customers at a local Krispy Kreme how many donuts they eat in a month, y, and recorded their age, x. She obtained the following regression line y=47-1.36x. What is the meaning of the slope of this regression line
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Number of donuts consumed in a month = y
Age = x
Regression equation obtained :
y=47-1.36x
Meaning of slope of the regression line ;
Comparing the regression equation obtained with the general equation of a linear regression line ;
y = mx + c; where m = slope of the regression line
Hence, the value of slope in the equation is = - 1.36
Thus, the slope can be interpreted as ; The number of donuts consumed in a month is expected to decrease by 1.36 for per(1) increase in age x of consumer.
The slope means that the number of donuts reduces by 1.36 as people get older.
A linear equation is in the form:
y = mx + b;
where y, x are variable, m is the slope of the line and b is the y intercept.
Let y represent the number of donut ate by the customers in a month and x represent their age
Given the regression line:
y = 47 - 1.36x
The slope means that the number of donuts reduces by 1.36 as people get older.
Find out more at: https://brainly.com/question/21105092
What tip would a waiter receive if a customer adds a 20% tip to a meal that costs $42.18?
Answer:
Step-by-step explanation:
the waiter would receive an $8.44 tip
Graph the line y=kx+1 if it is known that the point M belongs to it: M(1, 3)
Answer:
Ok, we have the line:
y = k*x + 1
And we know that the point (1, 3) belongs to this line.
This means that when x is equal to 1, y must be equal to 3.
Then:
3 = k*1 + 1
3 - 1 = k
2 = k
Now we know that our line is:
y = 2*x + 1.
And we can graph it, as shown below.
Answer:
y = 2x + 1
First coordinate: (0, 1)
Second coordinate: (2, 3)
Consider the following argument. If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite.
The set of all irrational numbers is infinite. ∴
There are as many rational numbers as there are irrational numbers. Let p = "there are as many rational numbers as there are irrational numbers," and let q = "the set of all irrational numbers is infinite."
Is the argument valid or invalid?
Choose the answer that shows the symbolic form of the argument and justifies your conclusion.
a. form: q ∧ p valid, specialization p ∴ q
b. form: p → q invalid, converse error q ∴ p
c. form: q ∧ p invalid, converse error p ∴ q
d. form: p ∨ q invalid, inverse error q ∴ p
e. form: q → p valid, generalization p ∴ q
Answer:
b. form: p → q invalid, converse error q ∴ p
Step-by-step explanation:
Let
p = "there are as many rational numbers as there are irrational numbers,"
let
q = "the set of all irrational numbers is infinite."
We can write the above argument as:
If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite
p → q
The set of all irrational numbers is infinite
q
There are as many rational numbers as there are irrational numbers
p
So collectively it can be written as:
p → q
q
∴p
So it looks like
if p then q
q
therefore p
This is a fallacious argument. This means the conclusion can be false even when the premises are true. This type of argument is invalid.
Suppose we know that “If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite” is a true conditional statement. We also know that "the set of all irrational numbers is infinite" is true. This is not enough to say that "there are as many rational numbers as there are irrational numbers," is true. The reason for this is that there is nothing logically about “If p then q” and “q” that means p must follow. So this is a converse error and since converse error is an invalid method of inference rule so this argument is invalid.
Let us prove this argument is invalid with a truth table:
p q p → q q p
T T T T T
T F F F T
F T T T F
F F T F F
Since we know that the premises are:
p → q and q
and the conclusion is p
and an argument is valid if and only if all of its premises are true, then the conclusion is true. We should check that whenever both p → q and q are true then p is true but the third row fails. Thus this is an invalid argument.
Is the ratio 5 6 equivalent to 3 4
Answer:
No, it is not
Step-by-step explanation:
5 cant be simplified even down further unless it is a decimal or a fraction
k-2km =1. Solve for m. Show steps. Simplify as much as possible
Step-by-step explanation:
-km = 1
M = 1
-k
That is the answer
The graph of the linear function is shown on the coordinate grid. (-4, 6). (1, -9) What is the y-Intercept of the graph of the linear function?
A: -3
B: -2
C: -6
D: 6
Answer: C /-6
Step-by-step explanation:
Help i have confusing?
Answer:
Commutative Property, the third one is Associative Property
Step-by-step explanation:
Answer:
Associative property
Step-by-step explanation:
On the second line, two of the numbers are switched, this is associative property, which is the numbers in an addition or multiplication problem can be put into any order because you will get the same answer
A researcher wants to estimate the relationship between years of educational attainment (X) and the average yearly earnings of individuals (Y). For this, he collects data from a random sample of individuals. From this data, he calculates the sample variances (, ) and the sample covariance (). If , , and , then the sample correlation coefficient will be nothing. (Round your answer to two decimal places). Which of the following statements can be inferred from the value of the sample correlation coefficient calculated above? (Check all that apply.) A. There is a weak linear association between X and Y. B. There is a strong linear association between X and Y. C. The points in the scatterplot lie very close to a straight line. D. The points in the scatterplot have a steep slope. Could the researcher make general inferences about the correlation between X and Y from the sample correlation value? A. Yes, because the sample correlation is a consistent estimator for the population correlation. B. No, because the sample correlation is not an efficient estimator for the population correlation. C. Yes, because the sample correlation is an unbiased estimator for the population correlation. D. No, because the sample correlation value changes from sample to sample.
Answer:
The answer is "Option a and Option b".
Step-by-step explanation:
In the given question, the data value is missing which is defined in the attached file, please find it.
We have variance sample =[tex](S^2x, S^2y)[/tex] and the carariance sample = [tex]Sxy[/tex].
if "[tex]S^2x = 85.27, S^2y = 175.76, and \ \ Sxy = 116.25[/tex]" its sample coefficient correlation will be defined as follows:
[tex]\bold{r= \frac{Sxy}{\sqrt{S^2x \times S^2 y}} }\\\\[/tex]
[tex]= \frac{116.25}{\sqrt{85.23} \times \sqrt{175.76}} \\\\= \frac{116.25}{ 9.23 \times 13.25}\\\\= \frac{116.25}{122.29}\\\\=0.95[/tex]
Describe fully the single transformation that maps shape A onto shape B.
y
Answer:
The single transformation in this figure is reflection through the y axis at 2 y axis
If my answer helped, please mark me as the brainliest!!
Thank You!!
what is the opposite 3.78
Answer:
-3.78
Step-by-step explanation:
The opposite of a positive number will always be negative, and the opposite of a negative number will always be positive.
I need help with questions 17 and 18, I don't understand them, if you could give a nice explanation ill give you brainliest.
Answer :
Part 17: The value of x is 5.
Part 18: The value of x is 2°.
Step-by-step explanation :
Part 17:
Given:
Length SR = 2x - 9
Length RQ = x + 6
Length SQ = 12
Now we have to determine the value of x.
Length SQ = Length SR + Length RQ
12 = (2x - 9) + (x + 6)
12 = 2x - 9 + x + 6
12 = 3x - 3
3x = 15
x = 5
The value of x is 5.
Part 18:
Given:
∠MLK = 81x - 2
∠HLK = 54x + 2
∠MLH = 50°
Now we have to determine the value of x.
∠MLK = ∠HLK + ∠MLH
81x - 2 = 54x + 2 + 50°
81x - 2 - 54x - 2 = 50°
27x - 4 = 50°
27x = 54°
x = 2°
The value of x is 2°
Tim had 267 dollars to spend on 9 books. After buying them he had $15. How much did each book cost
Answer:
28$
Step-by-step explanation:
(267-15)/9
6th grade math teehee
Answer:
78 41/50 :)
Step-by-step explanation:
a large bag contains 11/12 pound of nails how many 1/3 pound bags can be filled with this amount of nails
Answer:
2 with a left over 3/12
Step-by-step explanation:
1/3 translates to 4/12 which can go into 11/12 twice, leaving 3/12 left over.
Aisha organized her books for 5 hour and her coin collection for 3 hour. 7 What is the best estimate for the total time Aisha spent organizing?
Answer:
about 8 hours
Step-by-step explanation:
8 hours. It is Five hours plus Three hours.
