Answer:
b = 14
Step-by-step explanation:
The required solution to the equation 3b/7 - 1 = 5 is b = 14.
What is simplification?Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
Here,
To solve for b, we need to isolate b on one side of the equation.
First, we add 1 to both sides of the equation to get:
3b/7 = 5 + 1
Simplifying the right-hand side:
3b/7 = 6
Next, we multiply both sides by 7/3:
(7/3) * (3b/7) = (7/3) * 6
Simplifying:
b = 14
Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.
Learn more about simplification here:
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How many roots does the graphed polynomial function have?
Answer:
3 roots
The graph crosses the x axis 3 times so there are 3 roots.
Step-by-step explanation:
Two students in different classes took the same math test. Both students received a
score of 87. In student A's class the mean was 78 and the standard deviation of 5. In
student B's class the mean was 76 with a standard deviation of 4. Which student
scored in the top 10% of their class?
Answer:
Both students scored in the top 10% of their classes.
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.
In this question:
Top 10% = Above the 100 - 10 = 90th percentile.
The 90th percentile of scores is X when Z has a pvalue of 0.9, that is, Z = 1.28.
So, the student who had a z-score above 1.28 scored in the 90th percentile of their class.
In student A's class the mean was 78 and the standard deviation of 5. He scored 87.
We have that [tex]\mu = 78, \sigma = 5, X = 87[/tex]
Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{87 - 78}{5}[/tex]
[tex]Z = 1.8[/tex]
1.8 > 1.28, so student A scored in the top 10% of his/her class.
Student B's class the mean was 76 with a standard deviation of 4. Scored 87.
We have that [tex]\mu = 76, \sigma = 4, X = 87[/tex]
Then
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{87 - 76}{4}[/tex]
[tex]Z = 2.75[/tex]
2.75 > 1.28, so student B also scored in the top 10% of his/her class.
Both students scored in the top 10% of their classes.
13. Justify Conclusions Determine whether each statement is sometimes,
always, or never true. Justify your answer.
Answer
A. It is possible for a triangle to have two right angles?
B it is possible for a triangle to have two right angles.
Answer:
False. It is not possible for a triangle to have two right angles.
Step-by-step explanation:
Every triangle has 3 sides and, therefore, 3 angles (hence its name "tri" (three) "angle" (angles). Always, the sum of the three angles of a triangle will have a value of 180º. Therefore If two of the angles of a triangle were right, that is, they measured 90º, the third angle would be 0º, that is, it would be non-existent.Therefore, it is impossible for two angles of a triangle to be right angles.
The first bus stop on a bus route is 4 miles from school. How many yards is the first bus stop from school?
Answer:
7040 yards
Step-by-step explanation:
1 mile = 1760 yards
1 x 4 miles = 1760 x 4 yards
4 miles = 7040 yards
Cups are sold by 6 per package while plates are sold by 8 per package. If you want
to have the same number of each item for a party, what is the least number of
packages of cach item you need to buy?
A. 2 packages of cups and 3 packages of plates
3 packages of cups and 4 packages of plates
C. 4 packages of cups and 3 packages of plates
D. 5 packages of cups and 3 packages of plates
Answer:
C
Step-by-step explanation:
What is the lowest common multiple
6 = 2 * 3
8 = 2 * 2 * 2
LCM = 2 * 2 * 2 * 3
LCM = 24
So you just divide 6 and 8 into 24. The result will be the number of packages.
Cups: 24/6 = 4
Plates: 24/8 = 3
You need 4 packs of cups and 3 of plates
Answer this for me please.
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
864 inches cubed
Step-by-step explanation:
Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.
Please help! I need this answer fast!
Frank left his house at 7 am and drove to the airport at a speed of 50 mph. Lance left his house at 6 am and drove to the same airport at a speed of 55 mph. Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.
At what time did Lance arrive at the airport?
Answer:
87
Step-by-step explanation:
Answer: 10:00 AM
This is the answer, and it’s correct. I did this problem and it’s 10:00 AM
Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
12(3/4)=9
12/4=3
3•3=9
please please please help me :(((
Answer:
In the last diagram the object is being acted upon by forces not adding up to zero.
Step-by-step explanation:
(Assuming force 1=force 2 in terms of magnitude)
Let forces acting towards the left = -1
Let forces acting toward the right = +1
In the first diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the second diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the third diagram, force1 is acting towards the right and force2 is acting towards the left:
Total force = force1+force2=+1-1=0
In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:
Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.
Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.
----------------------------
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.
----------------------------
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.
This means that [tex]\mu = 170, \sigma = 20[/tex]
----------------------------
Less than 150:
As a proportion, it is the p-value of Z when X = 150, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 170}{20}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16.
0.16x100% = 16%
----------------------------
More than 190:
As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 170}{20}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16x100% = 16%
----------------------------
Estimate the percent of the data that are less than 150 or greater than 190.
We add both percentages, thus:
16% + 16% = 32%
32% of the data that is less than 150 or greater than 190.
A similar question is given at https://brainly.com/question/14694610
MAFS.4.0A.1.2
2. Eddie has 50 marbles. Manny has m marbles. If Eddie
has 10 times as many marbles as Manny, write an
equation that shows how many marbles Manny has.
giving brainliest!! easy*
Answer:
1584mm^2
Step-by-step explanation:
20 x20 = 400 and there are 3 of them
400+400+400 = 1200
1/2(16x24 ) =192 and there are 2 of them
192+192 = 384
1200+384
Answer:
1408
Step-by-step explanation:
20·16+24·16+20·16+12·﹣204+2·(20·24)2+2·(20·20)2﹣244+2·(24·20)2﹣204=1408
if i did something wrong please let me know
(i might have done it wrong, please use the answer above which would be 1584mm^2)
Moira solved a problem on the board. What error did Moira make and how can she correct it?
12x + 10 = 54 - 10x
12x + 10 - 10 = 54 - 10x - 10
12x = 44 - 10x
12x - 10X = 44 - 10x + 10x
2x = 44
X = 22
A- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have added 10x.
B- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have subtracted 10x.
C- On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have also added 10x.
D- On the left side of the equation, Moira should have subtracted 10x, and on the right side of the equation, Moira should have also subtracted 10x.
Please I really need it
Answer:
C
Step-by-step explanation:
What you do on one side of the equation, you do to the other. She added 10x on the right side and subtracted 10x on the left when she should have added 10x on both sides.
Please help this is due tomorrow!!!
Answer:
Use the Pythagorean therm
Step-by-step explanation:
A squared(one leg) + B square(one leg) = C(aka the hypotenuse)
brainlist plz
What is the x-intercept of the equation -3x + 5y = -15
Answer:
Hi! Just for your safety do not click on the link in the other answer!
The answer to your questions is (5,0) Or another way to express it is 5.
Step-by-step explanation:
To find the x-intercept substitute 0 in for y and solve for x.
※※※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
2.1.1 Taxable income.
2.1.2 Tax rebates.
2.1.3 Tax threshold.
Answer:
Taxable income:
Taxable income includes wages, salaries, bonuses, and tips, as well as investment income and various types of unearned income. ... Taxable income also includes earnings generated from appreciated assets that have been sold during the year and from dividends and interest income.
Tax rebates:
A tax rebate (or tax refund) is money you reclaim from HMRC if you've paid too much tax. Travel tax refunds are a great example. If you're paying your own way to get to temporary workplaces, you can claim back some tax on your travel expenses.
Tax threshold:
The tax threshold is the amount of income below which you do not pay any income tax. The filing threshold is the income amount below which you do not have to file a tax return to Sars.
Select the best answer for the question.
16. Phil Smith is a car salesman. Last
week his total sales amounted to
$27,650.00, and he received $1,382.50 in
commission. What is his rate of
commission?
O
Answer:
5 Percent
Step-by-step explanation:
Last week his total sales amounted to $27,650.00, and he received $1,382.50 in commission. His rate of commission is 5 percent.
Find the surface area of a rectangular prism with a
length of 6 yards, a width of 4 yards, and a height of 9
yards.
Answer: 228 yds^2
Step-by-step explanation:
Surface Area= 2 (L x W) + (L x H) + (W x H)
2×(6×4 + 6×9 + 4×9) = 228
write 9/6 as a mixed number
9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
To write 9/6 as a mixed number, we need to divide the numerator (9) by the denominator (6).
When we divide 9 by 6, we get a quotient of 1 and a remainder of 3.
So, 9 divided by 6 is 1 with a remainder of 3.
We can express this as a mixed number by combining the whole number and the fraction:
1 + 3/6
However, the fraction 3/6 can be simplified. Both the numerator and denominator share a common factor of 3.
Dividing both by 3 gives us:
1 + 1/2
Now, we have the whole number part (1) and the proper fraction part (1/2).
Putting it all together, the mixed number representing 9/6 is: 1 1/2
Therefore, 9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
So, 9/6 as a mixed number is 1 1/2.
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Francesca deposited $70 in a savings account earning 10% interest, compounded annually. To the nearest cent, how much will she have in 2 years? Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer $
Answer: $84
Step-by-step explanation:
70x0.1=7x2=14+70=84
Offering a lot of points for this
Answer:
6x - 1
Step-by-step explanation:
Add 3x and 3x.
6x − 1
ídk hope this helps... (￣▽￣)ノ
Answer:
6x-1
Step-by-step explanation:
.......,,,,,,;,,.,.........
Answer:
lol dababy ur my idol
Step-by-step explanation:
84b /32b
3b
Answer:
3b^2
Step-by-step explanation:
12b^7 / 4b^5
=12b^7/ 4b^5
=12b^2/4
=3b^2
find the mode, 3,1,9,3,1,2,3
{math}
What is 1 1/4 + 3 3/8 = pls show your work
Answer:
Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8
Step-by-step explanation:
dd the whole numbers first.
4+\frac{1}{4}+\frac{3}{8}
4+
4
1
+
8
3
2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}
4
1
,
8
3
. In other words, find the Least Common Multiple (LCM) of 4,84,8.
LCD = 88
3 Make the denominators the same as the LCD.
4+\frac{1\times 2}{4\times 2}+\frac{3}{8}
4+
4×2
1×2
+
8
3
4 Simplify. Denominators are now the same.
4+\frac{2}{8}+\frac{3}{8}
4+
8
2
+
8
3
5 Join the denominators.
4+\frac{2+3}{8}
4+
8
2+3
6 Simplify.
4\frac{5}{8}
4
8
5
1. A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
a. Find the experimental probability of landing on a 2.
b. Find the experimental probability of not landing on a 6.
c. Compare the experimental probability you found in part a to its theoretical probability.
d. Compare the experimental probability you found in part b to its theoretical probability
Step-by-step explanation:
(A) you takeway 24 by 2 and add 6=28
Select the correct comparison.
Set A
Set B
In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)
Answer:
1568
Step-by-step explanation:
The computation of the minimum sample size is shown below:
Given that
Error E = 11
The population standard deviation [tex]\sigma[/tex] =217
Confidence level 1-α = 95%
Now following formula should be used
n > (Zalpha ÷ 2 × sigma ÷ E)^2
As we know that
Zalpha ÷ 2= 1.96
Now the sample size is
n> (1.96 × 202 ÷ 10)^2
= 1568
1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?
Determine the location of a' after the image
has been dilated with a scale factor of 2