Answer:
a = 3 and b = 4
Step-by-step explanation:
5a + 4b = 31 --(1)
5a + 6b = 39 --(2)
(2) - (1) : 2b = 8
b = 4 -- (3)
Substituting (3) into (1),
5a + 16 = 31
5a = 15
a = 3 -- (4)
Therefore, a = 3 and b = 4
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Determine whether the source given below has the potential to create a bias in a statistical study. A certain medical organization tends to oppose the use of meat and dairy products in our​ diets, and that organization has received hundreds of thousands of dollars in funding from an animal rights foundation.
A. There does not appear to be a potential to create a bias. The organization would not gain from putting spin on the results.
B. There does appear to be a potential to create a bias. There is an incentive to make the results statistically insignificant.
C. There does appear to be a potential to create a bias. There is an incentive to produce results that are in line with the​organization's creed and that of its funders.
D. There does not appear to be a potential to create a bias. The organization is reputable and has many professional and credible members.
can anyone ps answer this? it's urgent!
Answer:
9:125
Step-by-step explanation:
To write a ratio correctly, you need the same units for both numbers.
Let's convert liters into milliliters.
1 L = 1000 mL
Ratio of 72 mL to 1000 mL =
= 72:1000
Divide both numbers by their GCF, 8.
= 9:125
Which of the following is true regarding the sequence graphed below?
an
35
30
25
• (5, 25)
20
15-
• (4. 16)
10 -
• (3,9)
5
• (2, 4)
1 2 3
4
5 6
7 8
9
n
The sequence is arithmetic because the terms have a common difference.
O The sequence is arithmetic because the terms do not have a common difference
Answer:
I think the answer is the sequence is arithmetic because the term have a common difference
The correct option is The sequence is not arithmetic because the terms do not have a common difference.
What is an arithmetic sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k called the common difference.
Given is graph, we need to conclude the true about the graph,
Finding the common difference,
4-1 = 3
9-4 = 5
16-9 = 7
25-16 = 9
Clearly from the set of values that are given in the graph we could observe that the function that is formed using these set of values is:
y=f(n)=n² where n=1,2,3,4,5,.....
That mean, the following sequence is not an arithmetic sequence as the common difference is different.
Hence, the correct option is The sequence is not arithmetic because the terms do not have a common difference.
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What’s the area help please and please attach work
Answer:
106
Step-by-step explanation:
5 x 2 = 10
7 + 5 = 12
8 x 12 = 96
96 + 10 = 106 :)
which values are solutions to the inequality below? Check all that apply. √x <7
A. -15
B. 48
C. 14
D. 2
E.51
F. No Solutions
Answer:
B,C,D
Step-by-step explanation:
Square both sides of the equation to get rid of the square root surrounding x.
sqrtX^2 = x and 7^2 = 7*7 = 49
x<49
And since we have a radical, we have to have non-negative solutions (the radical used in the equation actually only means the positive square root) meaning x>0
So which one of the choices is less than 49 and greater than 0?
B,C, and D are all less than 49, and greater than 0
a line through (4,2) with slope 1/2
Answer:
Step-by-step explanation:
Use the formula P=MX+B
given 12 consecutive integers in how many ways can three of these integers be selected to give a sum which divides by 4?
There are [tex]55[/tex] ways of these integers be selected to give a sum.
Given that:
It has [tex]12[/tex] consecutive integers .
Now,
Definition of consecutive integers :
" Consecutive integers are the integers that follow in the fixed sequence .
Consecutive integers is represented by [tex]n,n+1,n+2,n+3,....[/tex] where [tex]n[/tex] is an integer."
By given :
we have [tex]12[/tex] consecutive integers .
Thus,[tex]n=1[/tex] and substitute the equation is,
[tex]1,(n+1),(1+2),(1+3),(1+4),(1+5),(1+6),(1+7),(1+8),(1+9),(1+10),(1+11)\\\\\implies 1,2,3,4,5,6,7,8,9,10,11,12[/tex]
Now,
Split all the integers into 4 equal parts,
Part 1: Those integers are divisible by [tex]4[/tex] and the remainder be 0.
Then,
[tex]a=0(mod 4)[/tex]
Part 2: Those integer producing the remainder [tex]1[/tex] when it is divisible by [tex]4[/tex].
Then,
[tex]a=1(mod 4)[/tex]
Part 3: Those integer producing the remainder [tex]2[/tex] when it is divisible by[tex]4[/tex].
Then,
[tex]a=2(mod 4)[/tex]
Part 4: Those integer producing the remainder [tex]3[/tex] when it is divisible by[tex]4[/tex].
Then,
[tex]a=3(mod4)[/tex]
Since, three of these integers be selected to give a sum which divides by [tex]4[/tex] is,
In any 12 consecutive integers there are [tex]12\div4[/tex]
i.e. exactly 3 numbers of each category of mod4 namely ,
[tex]0(mod4), 1(mod4), 2(mod4), 3(mod4)[/tex]
Thus, the total combinations of above [tex]5[/tex] categories of sets of [tex]3[/tex] integers are
All the 3 numbers are [tex]0(mod4)[/tex][tex]3C_1=3(1)=3[/tex]
One number be [tex]0(mod4)[/tex] and other two numbers are [tex]2(mod4)[/tex][tex]3C_1*3C_2=3(1)*3=9[/tex]
One number [tex]0(mod4)[/tex] and other numbers [tex]1(mod4)[/tex] & [tex]3(mod4)[/tex][tex]3C_1*3C_1*3C_1=3*3*3=27[/tex]
Two numbers be [tex]1(mod4)[/tex] and one number be [tex]2(mod4)[/tex][tex]3C2 * 3C1 = 3*3 = 9[/tex]
One number be [tex]2(mod4)[/tex] and two numbers be [tex]3(mod4)[/tex][tex]3C1 * 3C2 = 3*3 = 9[/tex]
Thus, sum of the total ways be [tex]12[/tex] consecutive integers of three integers is divisible by 4 is,
[tex]3+9+27+9+9=55[/tex]
Hence, it has [tex]55[/tex] ways.
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Solve the system x-2y+2z=9 y+2z=5 z=3
Enter the answer as an ordered triple, (X,Y,Z)
The last equation says z = 3, so that in the second equation we get
y + 2z = y + 6 = 5 ==> y = -1
and in turn, the first equation tells us
x - 2y + 2z = x + 2 + 6 = x + 8 = 9 ==> x = 1
So the solution to the system is (x, y, z) = (1, -1, 3).
3x-6y-2z=-17
−6x+4y+5z=13
−3x−4y−3z=22
Answer:
1) x = -17 +6y + 2z/3
2) x= -13 - 4y - 5z/6
3) x= -22 +4y + 3z/3
Step-by-step explanation:
1) 3x-6y-2z=-17
3x- 6y -2z- (-6y -2z)= - 17 - ( 6y -2z )
3x=-17+6y+2z
3x/3= -17/3 +6y/3 + 2z/3
x = -17 +6y + 2z/3
2) −6x+4y+5z=13
-6x+4y+5z- ( 4y + 5z )= 13 - ( 4y + 5z )
-6x=13-4y-5z
-6x/-6= 13/-6 - 4y/-6 - 5z/-6
x= -13 - 4y - 5z/6
3) −3x−4y−3z=22
-3x=22+4y+3z
-3x/-3 = 22/-3 + 4y/-3 +3z/-3
x= -22 +4y + 3z/3
Can someone please help me?
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Remember X intercept is when y is equal to zero
So basically f(x-4) is literally equal to y=radical (x-4)
When graphing them you will notice that the x intercept is 4 units lower
Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proportion who own rental property by the water is (0.281, 0.392). Which of the following is the correct interpretation of this interval?
a. Ninety-five percent of all samples of size 500 will result in a proportion of rental property between 0.281 and 0.392.
b. There is probability equal to 0.95 that the proportion of owning a rental property by the water is between 0.281 and 0.392
c. 95% confident that the sample proportion of rental propery owners in Washington is between 28.1% and 39.2%.
d. We can be 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water
Answer:
Hence the correct option is option d.
Explanation:
We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.
Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.
What’s the value of the expression below
Answer:
8
Step-by-step explanation:
When multiplying numbers with the same base
the exponents are added
1/4 + 1/4 + 1/4 + 1/4 = 1
8¹ = 8
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.7 feet and a standard deviation of 0.4 feet. A sample of 74 men’s step lengths is taken. Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.5 feet. Round your answer to 4 decimal places, if necessary.
Answer:
0.3085 = 30.85% probability that an individual man’s step length is less than 2.5 feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 2.7 feet and a standard deviation of 0.4 feet.
This means that [tex]\mu = 2.7, \sigma = 0.4[/tex]
Find the probability that an individual man’s step length is less than 2.5 feet.
This is the p-value of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 2.7}{0.4}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a p-value of 0.3085
0.3085 = 30.85% probability that an individual man’s step length is less than 2.5 feet.
Suppose the mean height for men is 70 inches with a standard deviation of 2
inches. What percentage of men are between 68 and 74 inches tall? Enter
the value of the percentage without the percent sign.
Answer:
81.85.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean height for men is 70 inches with a standard deviation of 2 inches.
This means that [tex]\mu = 70, \sigma = 2[/tex]
What percentage of men are between 68 and 74 inches tall?
The proportion is the p-value of Z when X = 74 subtracted by the p-value of Z when X = 68.
X = 74
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{74 - 70}{2}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a p-value of 0.9772.
X = 68
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{68 - 70}{2}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
0.9772 - 0.1587 = 0.8185
0.8185*100% = 81.85%.
Thus the percentage is 81.85%, and the answer is 81.85.
A. State whether each figure is a polygon
Find the equation of the line that has a slope of 7 and a y intercept of -10. Write you answer in the form of y = mx + b
Answer:
Step-by-step explanation:
y = mx + b is the slope-intercept form of a line where m is the number value of the slope and b is the number value of the y-intercept. Our slope is given as 7, therefore, m = 7 in our equation. Our y-intercept is given as -10; thus, b = -10. Filling that in gives us y = 7x - 10
Cheryl is making homemade fruit soda. She needs 14 pints of fruit juices and club soda for her recipe. How many cups of homemade fruit soda does Cheryl make?
Robert and Chris can skate 4 miles in 18 minutes. How far can they ride in 45 minutes?
Answer: Robert and Chris can skate 10 miles in 45 minutes.
Step-by-step explanation:
Let's start by finding the unit rate.
[tex]\frac{4}{18} =\frac{2}{9} \\\frac{18}{18} =1[/tex]
Robert and Chris can skate [tex]\frac{2}{9}[/tex] of a mile in 1 minute. Now we can multiply both by 45 to see how far the can go in 45 minutes.
[tex](\frac{2}{9}) (\frac{45}{1} )\\\frac{(2)(45)}{(9)(1)} \\\frac{90}{9} \\10[/tex]
45x1=45
The can skate 10 miles in 45 minutes.
Write the following equation in the general form Ax + By + C = 0.
y - x - 1 = 0
2x - 3y + 6 = 0
2x - 3y - 6 = 0
-2x + 3y - 6 = 0
Answer:
C. -2x +3y-6=0
this is the answer
HELP ASAP PLS 10 points AND BRAINLEST
Answer:
ABC is congruent to EDC because m<3 = m<4 and m<1 = m<5
Step-by-step explanation:
m<3 and m<4 are vertical angles so they are congruent. m<1 and m<5 are alternate interior angles so they are also congruent.
Bradley was passing out fliers to different neighborhoods. There were 20 neighborhoods that he wanted to hit. If each neighborhood had 83 houses, how many fliers would Bradley need?
(PLEASE HELP ME I WILL GIVE BRAINLIEST)
Answer:
1660
Step-by-step explanation:
Helpppp plssssss I need to get my grade up in math
Answer: 1.25 square feet
This converts to the improper fraction 5/4
===========================================================
Explanation:
The area of the triangle on the left is base*height/2 = 0.5*2/2 = 0.5 square feet. Note that 1/2 = 0.5
The area of the triangle on the right side is base*height/2 = 0.2*3/2 = 0.75 square feet. This converts to the fraction 3/4
Add up the two results: 0.5+0.75 = 1.25 square feet
-----------
If you need the answer as an improper fraction, then,
1.25 = 1 + 0.25
1.25 = 1 + 1/4
1.25 = 4/4 + 1/4
1.25 = (4+1)/4
1.25 = 5/4
I would if someone could answer this :)
6
Which expression is equivalent
Answer:
I thimk it is B
Step-by-step explanation:
SOMENE PLS PLS HELP IL GIVE OYU A KISS AND A COOKIE FI YOU HHELP E IM BEGGING
Answer:
B
Step-by-step explanation:
SOH CAH TOA
sin theta = opp/hyp
csc theta = hyp/opp
csc theta = 10/8 = 5/4
cos theta = adj/hyp
sec theta = hyp/adj
sec theta = 10/6 = 5/3
Answer: B
Sarah bought a TV for £250
Three years later she sold it for £180
Work out her percentage loss
Answer:
36%
Step-by-step explanation:
Step-by-step explanation:
Loss percentage= loss/cost× 100%
250-180=70
70/180=0.3888
0.3888×100%=39%
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 22 Pennies 27 Dimes 9 Nickels 30 Quarters What is the probability that you reach into the jar and randomly grab a penny and then, without replacement, a dime
Answer:
[tex]P(Penny\ and\ Dime) = \frac{9}{116}[/tex]
Step-by-step explanation:
Given
[tex]Pennies = 22[/tex]
[tex]Dimes = 27[/tex]
[tex]Nickels = 9[/tex]
[tex]Quarters = 30[/tex]
Required
[tex]P(Penny\ and\ Dime)[/tex]
This is calculated as:
[tex]P(Penny\ and\ Dime) = P(Penny) * P(Dime)[/tex]
Since it is a selection without replacement, the computation is:
[tex]P(Penny\ and\ Dime) = \frac{Penny}{Total} * \frac{Dime}{Total-1}[/tex]
So, we have:
[tex]P(Penny\ and\ Dime) = \frac{22}{22+27+9+30} * \frac{Dime}{22+27+9+30-1}[/tex]
[tex]P(Penny\ and\ Dime) = \frac{22}{88} * \frac{27}{87}[/tex]
[tex]P(Penny\ and\ Dime) = \frac{1}{4} * \frac{9}{29}[/tex]
[tex]P(Penny\ and\ Dime) = \frac{9}{116}[/tex]
Type the correct answer in the box.
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
V r2h
-
Write the formula to calculate the height, h.
Step-by-step explanation:
V should be written as (1/3) pi r^2 h
V = (1/3) pi r^2 h multiply by 3
3V = pi r^2 h Divide by pi
3V/ pi = r^2 h Divide by r^2
3V / (pi *r^2 ) = h
How many different license plates are possible if digits and letter can be repeated if the configuration is 3 letters, 2 digits, 2 letters?
Answer:
1,188,137,600 possible combinations
Step-by-step explanation:
The first three and last two digits can be any letter while the middle two digits can be any number.
26*26*26*10*10*26*26=1,188,137,600
What is the surface area of the regular pyramid below?