Answer:
x=-1
Step-by-step explanation:
just like 8/8 is 1 the same concept only you add a negative
Answer:
x = -64
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Multiply 8 to both sides:
(x/8)8 = (-8)8
x = -8 * 8
x = -64
-64 is your solution for x.
~
A set of middle school student heights are normally distributed with a mean of 150150150 centimeters and a standard deviation of 202020 centimeters. Darnell is a middle school student with a height of 161.4161.4161, point, 4 centimeters. What proportion of student heights are lower than Darnell's height?
Answer:
71.57% of student heights are lower than Darnell's height
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 150, \sigma = 20[/tex]
Darnell has a height of 161.4 centimeters. What proportion of student heights are lower than Darnell's height?
This is the pvalue of Z when X = 161.4.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{161.4 - 150}{20}[/tex]
[tex]Z = 0.57[/tex]
[tex]Z = 0.57[/tex] has a pvalue of 0.7157
71.57% of student heights are lower than Darnell's height
Answer:
0.7157
Step-by-step explanation:
Darnell's height is 161.4 - 150 = \goldD{11.4}161.4−150=11.4161, point, 4, minus, 150, equals, start color #e07d10, 11, point, 4, end color #e07d10 relative to the mean.
This is \dfrac{\goldD{11.4}}{20} = \blueD{0.57}
20
11.4
=0.57start fraction, start color #e07d10, 11, point, 4, end color #e07d10, divided by, 20, end fraction, equals, start color #11accd, 0, point, 57, end color #11accd standard deviations relative to the mean. This is Darnell's z-score.
Hint #22 / 4
We want to find the proportion of student heights below a z-score of \blueD{0.57}0.57start color #11accd, 0, point, 57, end color #11accd:
Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?
Answer:
49/20 miles or 2.45 miles
Step-by-step explanation:
LCM(1,2,3,4,5,6,)=60
10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45
A triangle has an area of 30 square centimeters.
If the height of the triangle is 5 1/2 centimeters, what is the base length?
Answer: 10.9 cm
Step-by-step explanation:
The equation to find the area of a triangle is
Base x height x 1/2 = area
Since you are given the area, rearrange or “do the opposite” to find the base
(Area x 2 ) / height = base
30 x 2 = 60
60/ 5.5 = 10.9
Hope this helped :)
how to find the mean median and mode for (6, 5 ,6) ( 7 ,6 ) (6 ,7 ) (4 ,6 ) ( 7 ,7 ) ( 6 ,7 ) (7 ,7) ( 4 ,7)
Answer:
the answer is 7
Answer:
7
Step-by-step explanation:
A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
Solve the quadratic by factoring.
x2 - 4x = -4x + 4
Answer:
x=2 or x=-2
Step-by-step explanation:
ax^2+bx+c=0
first we rearrange this equation so we get x^2+(-4+4)x-4=0 so its x^2-4=0 so that means b=0 now we should find two numbers that when we multiply them we get c and when we subtract them we get b so that two numbers are 2 and -2
which of these numbers are prime 29,33,51,65,70
Answer:
29 and 51
Step-by-step explanation:
29 and 51 are prime because the only factors of them are the numbers themselves and 1.
29/1 = 29 51/1 = 51
The composite numbers are 33, 65, and 70 because they have more than one factor.
33/3 = 11 65/5 = 13 70/10 = 7
If this answer is correct, please make me Brainliest!
Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?
Answer:
7/16
Step-by-step explanation:
AWARDING BRAINLIEST! PLEASE HELP!!!
Answer:
Right triangle
Step-by-step explanation:
we are given three sides as 14 ft, 48 ft, and 50 ft
Firstly, we will verify for right angle
We know that any triangle is right angled when it satisfies Pythagoras theorem
We know that hypotenuse side value is always largest
so, hypotenuse=c=50
Let's assume other two sides as
a=14
b=48
now, we can use Pythagoras theorem formula
C²=a²+b²
we can plug values and we check whether left side is equal to right side
50²=14²+48²
2500=196+2304
2500=2500
we can see that left side is equal to right side
Since, it satisfies Pythagoras theorem
Therefore, Right triangle is the answer
Answer:
I believe, obtuse.
Step-by-step explanation:
You have one extremely small side, two long sides. If you put your hands together and logically measure the 14 length side, you'd realize it is obtuse. I have no mathematical evidence.
6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK
Answer:
False
Step-by-step explanation:
The left side 0.06 does not equal to the right side 0, which means that the given statement is false.
simplify the expression :
11(3p+5x)+4x-x
1)33p+58x
2)14p+58x
3)33p+19x
4)14p+19x
Answer:
58 x + 33 p thus 1) is the Answer
Step-by-step explanation:
Simplify the following:
11 (3 p + 5 x) + 4 x - x
4 x - x = 3 x:
11 (3 p + 5 x) + 3 x
11 (3 p + 5 x) = 33 p + 55 x:
33 p + 55 x + 3 x
Grouping like terms, 33 p + 55 x + 3 x = (55 x + 3 x) + 33 p:
(55 x + 3 x) + 33 p
55 x + 3 x = 58 x:
Answer: 58 x + 33 p
Answer:
1) 33p+58x is the correct answer ☺️
Step-by-step explanation:
What is the slope of the line that passes through the points (-2, 7) and (2,-5)?
Write your answer in simplest form.
Answer:
Denote that line: y = ax + b
Line passes (-2, 7) and (2,-5):
=> -2a + b =7
=> 2a + b = -5
Add both side of above equations:
=> 2b = 2
=> b = 1
=> a = (-5 - 1)/2 = -3
=> Slope a = -3
Hope this helps!
:)
This question is based on the equation of line. Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
Given:
Points are (-2, 7) and (2,-5).
We need to calculate the slope of the line that passes through the points (-2, 7) and (2,-5).
According to the question,
As we know that, equation of line: y = mx +c
It is given that, line passes through points, (-2, 7) and (2,-5).
Now, putting this points in equation of line: y = mx +c.
We get,
=> -2m + c =7 ...(1)
=> 2m + c = -5 ...(2)
Now, adding and solving above two equations,
We get, c = 1
Then, putting the value of b= 1 in equation (1).
We get, m = -3.
Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
For more details, prefer this link:
https://brainly.com/question/21511618
John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?
Answer:
A. He thought 1 quart = 1/4 cup
B. actually made 8 cups of juice
Step-by-step explanation:
From conversion,
1 cup =1/4 quarts
A. John thought 1 quarts = 1/4 cup, which was his mistake
B. His 2/4 cups is actually
4*2 = 8 cups
A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie remain? Explain your reasoning. Together, GlennGlenn and SophieSophie ate one fourth 1 4 piece(s) on MondayMonday, and SophieSophie ate one fifth 1 5 piece(s) the next day. To find the number of pieces that remain, add these numbers to the total number of pieces. So, 0.450.45 pieces of the original piepie remain.
Answer:
Pieces remaining = 1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10
Therefore, 4/10 x 20 = 8 pieces.
Step-by-step explanation:
Sophie ate 1/4 = 5 pieces
Glenn ate 1/4 = 5 pieces
Remaining pieces = 20 - 5 - 5 = 10 pieces
On Monday, Sophie ate = 1/5 x 10 = 2 pieces
Therefore, remaining pieces = 10 - 2 pieces = 8 pieces
Sophie and Glenn consumed half of the pie the first day. This is equal to 10 pieces. The remaining pieces will be 10. If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.
Which sentence describes a benefit that short-term disability insurance offers a policyholder? A. It provides 30% to 40% of the policyholder's income for up to one year. B. It provides 10% to 25% of the policyholder's income for up to two years. C. It provides 50% of the policyholder's income for up to one year. D. It provides 40% to 60% of the policyholder's income for up to one year.
Answer:
D. It provides 40% to 60% of the policyholder's income for up to one year.
Step-by-step explanation:
Insurance is a risk sharing device where the risk is shared between the policyholder and the insurance company through regular periodic payment called premium. What Short term disability insurance does is to make do with the income of a person that has to leave his/her place of work as a result of sickness or injury. It provides financial assistance while the individual convalesces at home. The employee are liable to receive 40 to 60 % of their gross weekly income pending on the premium paid. This coverage period is 9 to 52 weeks, (i.e 2.25 to 12 months).
Answer:
D. It provides 40% to 60% of the policyholder's income for up to one year.
Step-by-step explanation:
Duffy completed a 50-meter dash in 36 seconds. That was 90 percent of the time it took Paul to complete it. What was Paul's time?
42 seconds
38 seconds
40 seconds
36 seconds
Answer:
40 seconds
Step-by-step explanation
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
B. The graph contains [tex](1,\frac{1}{10})[/tex].
Step-by-step explanation:
I graphed the equation on the graph below The line goes through the point (1, 1/10).
The awnser yo 4(x-2+y) using distributive property to create an equivalent expression??
Answer:
4x + 4y - 8
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
1. Escribe como potencia los siguientes productos y luego resuelve como se indica en el ejemplo. a) 6.6.6 = 6 3 = 216 f) 11.11= b) 3.3.3.3 = g) 0.0.0.0.0= c) 17.17= h) 2.2.2.2.2.2= d) 4.4.4.4.4= i) 5.5.5= e) 1.1.1.1.1.1.1= j) 10.10.10.10= 3. Escribe y calcula las potencias. a) Tres al cubo: d) Seis al cubo: b) Cinco al cuadrado: e) Ocho al cuadrado: c) Dos a la quinta: f) Diez a la cuarta:
Answer:
(Véase la explicación para mayores detalles/See the explanation for further details)
Step-by-step explanation:
a) Tres al cubo (Three to cube):
[tex]x = 3 \times 3 \times 3[/tex]
[tex]x = 3^{3}[/tex]
[tex]x = 27[/tex]
b) Seis al cubo (Six to cube):
[tex]x = 6 \times 6 \times 6[/tex]
[tex]x = 6^{3}[/tex]
[tex]x = 216[/tex]
c) Cinco al cuadrado (Five squared):
[tex]x = 5 \times 5[/tex]
[tex]x = 5^{2}[/tex]
[tex]x = 25[/tex]
d) Ocho al cuadrado (Eight squared):
[tex]x = 8 \times 8[/tex]
[tex]x = 8^{2}[/tex]
[tex]x = 64[/tex]
e) Dos a la quinta (Two to five):
[tex]x = 2 \times 2 \times 2 \times 2 \times 2[/tex]
[tex]x = 2^{5}[/tex]
[tex]x = 32[/tex]
f) Diez a la cuarta (Ten to four):
[tex]x = 10\times 10 \times 10 \times 10[/tex]
[tex]x = 10^{4}[/tex]
[tex]x = 10000[/tex]
Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can
Answer:
C.not sticking to a set budget
D.spending all of your paycheck
Step-by-step explanation:
The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.
Given are some situations in the options.
It is required to find those which are included in the financial responsibility.
Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.
A) pay with cash instead of a credit card
This is something a responsible person does, who will not use a credit card until urgency came.
B) making payments on time
A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.
C) not sticking to a set budget
A financially irresponsible person will not stick to a budget and spends so much carelessly.
D) spending all of your paycheck
If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.
E) using coupons when you can
Using coupons when you can is a good thing in the case of finance since it will save money.
Hence the correct options are C and D.
Learn more about Financial Responsibility here :
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#SPJ2
ession r' - (3+2)
(3 + 2)2 for 2 = 4.
Answer:
Step-by-step explanation:
idk im aooy
Lucy and Zachary work at a furniture store. Lucy is paid $200 per week plus 7.5% of her total sales in dollars, x x, which can be represented by g ( x ) = 200 + 0.075 x g(x)=200+0.075x. Zachary is paid $233 per week plus 6% of his total sales in dollars, x x, which can be represented by f ( x ) = 233 + 0.06 x f(x)=233+0.06x. Determine the value of x x, in dollars, that will make their weekly pay the same.
Answer:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
Step-by-step explanation:
For this case we have the following function for the total sales of Lucy is given by:
[tex] g(x) = 200 +0.075 x[/tex]
And the function for the total sales of Zachary is given by:
[tex] f(x) =233 +0.06 x[/tex]
And we want to determine the value of x, in dollars, that will make their weekly pay the same, so we can set equal the two functions:
[tex] f(x) = g(x)[/tex]
[tex] 200 +0.075 x= 233 +0.06 x[/tex]
We can subtract from both sides 0.06x and we got:
[tex] 0.075 x-0.06x +200 = 233[/tex]
And now we can subtract 200 from both sides we got:
[tex] 0.015 x = 33[/tex]
And dividing both sides by 0.015 we got:
[tex] x = \frac{33}{0.015}= 2200[/tex]
And then the final anwer would be x =2200
The art club has 12 members who are sixth graders 18 members who are seventh graders and 10 members who are eighth-graders. What percent of the art club members are seventh graders?
--------------------------------------------------------------------------------------------------------------------------------
18%
25%
30%
45%
Answer:
18
Step-by-step explanation:
what’s the answer for this question
Answer:
360cm 2
Step-by-step explanation:
18×20=360
a=l×w
Answer: The answer is 360cm²
Step-by-step explanation: 20×18=360cm²
3.64 divided by 60.5 ROUNDED plz answer!!!
Answer:
0.06
Step-by-step explanation:
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Answer:
Can you include the picture because i don't know which question you are talking about.
Step-by-step explanation:
Which of the following is the quotient of the rational expressions shown
below?
If y’all in 6 grade help each other out with the answer
Answer:
You got it, I have been busy and I am glad to see someone feeling the same way as me!
Answer:
what the question
Step-by-step explanation:
Find the area of the composite figure below.
5 cm
2 cm
3 cm
a
16 cm?
b
17 cm
C
13 cm
d
10 cm2
Answer: D is the correct answer.
Paco decides to invest $600 into a bank account that gives him a 3.4% interest rate compounded quarterly. He wants to know how long it will take for him to save up to $1,000.
Answer:
It would take 15 years
Step-by-step explanation:
The length of time it takes to reach $1,000 savings can be determined from the future value formula given below:
FV=PV*(1+r/4)^n*4
FV is the target savings of $1,000
PV is the amount invested which is $600
r is the rate of interest of 3.4%
n is the unknown
1000=600*(1+3.4%/4)^4n
1000=600*(1+0.0085 )^4n
1000=600*(1.0085)^4n
1000/600=1.0085^4n
1.666666667 =1.0085^4n
take log of both sides
ln 1.666666667 =4n ln 1.0085
4n=ln 1.666666667/ln 1.0085
4n=0.510825624 /0.008464078
4n=60.35218768
n=60.35218768 /4
n= 15.09
