Solution:
y = 9, x = 7
8y + x8(9) + 772 + 779;-;
Cody was given two polnts (5, 1) and(ç, 4), on a line and asked to create a linear equation in standard
form. Cody's work is shown. Identify any errors and correct them.
Ordering Rational Numbers
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Which number is an irrational number?
A
0
ON
7
Question 5 of 8
56.071
√10
Answer:
√10
Step-by-step explanation:
Integers, fractions, and repeating decimal numbers are all rational. The square root of an integer that is not a perfect square is irrational.
√10 is irrational
( 12. The larger of two numbers is eight more than the smaller number. Their sum is twenty-two. Fins the numbers.
Step-by-step explanation:
the numbers : x, y
x = y + 8
x + y = 22
we use the first equation in the second :
y + 8 + y = 22
2y + 8 = 22
2y = 14
y = 7
x = y + 8 = 7 + 8 = 15
Clarice Sloan is a shift supervisor for Ace
Tomato Inc. She is paid monthly with FIT
deductions of $102, SIT of 3.2% of gross,
and CIT of 1.8% of gross. Her monthly
net pay is $3,804.33. What is her monthly
gross pay?
The net pay is the amount left after taxes and deductions have been removed from the gross pay.
Her monthly gross pay is: $4111.93
The deductions are:
[tex]\mathbf{FIT = \$102}[/tex]
[tex]\mathbf{SIT = 3.2\%}[/tex]
[tex]\mathbf{CIT = 1.8\%}[/tex]
Let her gross pay be x.
So, we have:
[tex]\mathbf{Net = x - FIT - x \times SIT - x \times CIT}[/tex]
So, we have:
[tex]\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}[/tex]
Express percentage as decimals
[tex]\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}[/tex]
[tex]\mathbf{3804.33 = x - 102 - 0.032x - 0.018x}[/tex]
Add 102 to both sides
[tex]\mathbf{3906.33 = x - 0.032x - 0.018x}[/tex]
[tex]\mathbf{3906.33 = 0.95x}[/tex]
Divide both sides by 0.95
[tex]\mathbf{4111.93 = x}[/tex]
Rewrite as:
[tex]\mathbf{x = 4111.93 }[/tex]
Hence, her monthly gross pay is: $4111.93
Read more about gross and net pay at:
https://brainly.com/question/8952173
textRequest reports that adults 18–24 years old send and receive 128 texts every day. Suppose we take a sample of 25–34 year olds to see if their mean number of daily texts differs from the mean for 18–24 year olds reported by TextRequest.a. State the null and alternative hypotheses we should use to test whether the popu-lation mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.b. Suppose a sample of thirty 25–34 year olds showed a sample mean of 118.6 texts per day. Assume a population standard deviation of 33.17 texts per day and com-pute the p-value.c. With a = .05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.d. Repeat the preceding hypothesis test using the critical value approach.
Testing the hypothesis, we have that:
a)
The null hypothesis is: [tex]H_0: \mu = 128[/tex]
The alternative hypothesis is: [tex]H_1: \mu \neq 128[/tex]
b) The p-value of the test is of 0.1212.
c) Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
d) Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
Item a:
At the null hypothesis, we test if the mean is the same, that is, of 128 texts every day, hence:
[tex]H_0: \mu = 128[/tex]
At the alternative hypothesis, we test if the mean is different, that is, different of 128 texts every day, hence:
[tex]H_1: \mu \neq 128[/tex]
Item b:
We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.
[tex]\mu[/tex] is the value tested at the null hypothesis.
[tex]\sigma[/tex] is the standard deviation of the population.
n is the sample size.
For this problem, the values of the parameters are: [tex]\overline{x} = 118.6, \mu = 128, \sigma = 33.17, n = 30[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{118.6 - 128}{\frac{33.17}{\sqrt{30}}}[/tex]
[tex]z = -1.55[/tex]
Since we have a two-tailed test, as we are testing if the mean is different of a value, the p-value is P(|z| < 1.55), which is 2 multiplied by the p-value of z = -1.55.
Looking at the z-table, z = -1.55 has a p-value of 0.0606
2(0.0606) = 0.1212
The p-value of the test is of 0.1212.
Item c:
Since the p-value of the test is of 0.1212 > 0.05, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
Item d:
Using a z-distribution calculator, the critical value for a two-tailed test with 95% confidence level is |z| = 1.96.
Since |z| = 1.55 < 1.96, we cannot conclude that the mean daily number of texts for 25–34 year olds differs from the population daily mean number of texts for 18–24 year olds.
A similar problem is given at https://brainly.com/question/25369247
HELP PLEASE NO LINKS!!!
Answer:
D
Step-by-step explanation:
This graph doesn't show a function because if you draw a vertical line for the vertical line test through almost anywhere, there would be two points with the same x-value, and that shows that it is not a function.
Determine the solutions for the equation x2 + 3x + 5 = 0
Answer:
x2 +3x + 5=0
x(2+3)=5-0
x(5)=5
5x=5
5x\5=5\5
x=1
WILL MARK BRAINLIEST NO LINKS
Kelsie works at a bicycle shop as a salesperson. She records the number of bicycles she sells on a daily basis. Here is the probability distribution of
B
=
B=B, equals the number of bicycles Kelsie sells on a randomly selected day, and
T
=
T=T, equals the time she spends filling out daily sales reports.
B
=
#
of bicycles sold
B=# of bicycles soldB, equals, \#, start text, space, o, f, space, b, i, c, y, c, l, e, s, space, s, o, l, d, end text
0
00
1
11
2
22
3
33
T
=
time (minutes)
T=time (minutes)T, equals, start text, t, i, m, e, space, left parenthesis, m, i, n, u, t, e, s, right parenthesis, end text
0
00
10
1010
20
2020
30
3030
Probability
0.30
0.300, point, 30
0.50
0.500, point, 50
0.15
0.150, point, 15
0.05
0.050, point, 05
Find the expected value of the amount of time Kelsie spends filling out daily sales reports.
According to the discrete distribution given, it is found that the expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.
The discrete distribution given is:
[tex]P(X = 0) = 0.3[/tex]
[tex]P(X = 10) = 0.5[/tex]
[tex]P(X = 20) = 0.15[/tex]
[tex]P(X = 30) = 0.05[/tex]
The mean of a discrete distribution is the sum of each outcome multiplied by it's respective probability, hence:
[tex]E(X) = 0(0.3) + 10(0.5) + 20(0.15) + 30(0.05) = 9.5[/tex]
The expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.
A similar problem is given at https://brainly.com/question/24855677
Answer: 9.5
Step-by-step explanation:
sweaters were on sale for 35% off the regular price. If the regular price for a sweater was $65.00, what was the sale price?
Answer:
For example, if you have to work out the original price of a laptop that is being sold at 25% off:
work out the current price as a percentage of the original price (100%): current price is 100% - 25%
Find 1% by dividing the current price by 75.
Multiply this 1% by 100 to find the original price (100%)
Step-by-step explanation:
Brainlilest mecorrect me if i'm wrong Carry on learningAnswer:
$42.25
Step-by-step explanation:
List price = $65.00
Discount = 35% .
Hence the new price is (100-35)% = 65% of original price .
=> price = $ 65 * 65/100
=> price = $42.25
Use the definition of the derivative to differentiate f(x)= In x
By def. of the derivative, we have for y = ln(x),
[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac{\ln(x+h)-\ln(x)}{h}[/tex]
[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac1h \ln\left(\frac{x+h}{x}\right)[/tex]
[tex]\displaystyle \frac{dy}{dx} = \lim_{h\to0} \ln\left(1+\frac hx\right)^{\frac1h}[/tex]
Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as
[tex]\displaystyle \frac{dy}{dx} = \lim_{y\to0} \ln\left(1+y\right)^{\frac1{xy}}[/tex]
[tex]\displaystyle \frac{dy}{dx} = \frac1x \lim_{y\to0} \ln\left(1+y\right)^{\frac1y}[/tex]
Recall that the constant e is defined by the limit,
[tex]\displaystyle e = \lim_{y\to0} \left(1+y\right)^{\frac1y}[/tex]
Then in our limit, we end up with
[tex]\displaystyle \frac{dy}{dx} = \frac1x \ln(e) = \boxed{\frac1x}[/tex]
In Mathematica, use
D[Log[x], x]
Find the Measure of each angle.
Answer:
x = 10
Step-by-step explanation:
to find the measure of angles we first need to find the value of x
The sum of interior angles in a triangle is equal to 180
9x + 7x + 2x = 180 add like terms
18x = 180 divide both sides by 18
x = 10 to find angle measures replace x with 10 in each representative like:
m<L = 9x and 9*10 = 90 and so on
50,002,007 in expanded form
fifty million two thousand seven.
- BRAINLIEST answerer
Differential Equations
A differential equation is an equation that includes an unknown function and its derivative. A differential equation describes a relationship between a function and changes in the function.
Differential equations are very important in higher mathematics and also in disciplines where mathematics is used. In subject areas such as physics, engineering, meteorology and economics, differential equations are used to describe connections and development processes.
Learn more about differential equations in https://brainly.com/question/14620493
Benjamin has a ladder that is 15 ft long. he wants to lean the ladder against a vertical wall so that the top of the ladder is 13.8 ft above the ground. what is the angle, rounded to the nearest tenth, that the ladder makes with the ground ?
Answer:
Step-by-step explanation:
θ = arcsin(13.8/15) = 66.9°
WILL GIVE BRAINLIEST
Given: v is a midpoint of WY, XZ
Statement Reason
WV ≅ ______ definition of midpoint
XV ≅ ______ definition of midpoint
Statement Reason
△VZY ≅ △____ _______
Answer:
Statement Reason
WV ≅ YV definition of midpoint
XV ≅ ZV definition of midpoint
Statement Reason
△VZY ≅ △VXW SAS (Side-Angle-Side)
Step-by-step explanation:
PLS SHOW FULL STEP .................
Answer:
see below
Step-by-step explanation:
Lucy received 5/6 of the 180 votes cast for class secretary. How many votes did she receive?
Answer:
150 votes
Step-by-step explanation:
If Lucy got 5/6, we can do the following.
(5/6) * 180 = 150
So, Lucy got 150 votes.
Answer:
150
Step-by-step explanation:
We can first divide 180 by 6:
180/6 = 30
Then multiply that by 5:
5 × 30 = 150
Need urgent help with this question, thanks.
Answer:
Step-by-step explanation:
1
Line XY represents a proportional relationship. Point X lies at (5,7). List 3 ordered pairs that could be the
coordinates for point Y.
1
9514 1404 393
Answer:
(1, 1.4), (10, 14), (50, 70)
Step-by-step explanation:
To obtain another point where the values have the same proportional relationship, multiply both coordinate values by the same factor.
using a factor of 1/5: Y = (1, 1.4)
using a factor of 2: Y = (10, 14)
using a factor of 10: Y = (50, 70)
700+500+100 Giving Brainliest
Como calculo el ingreso máximo
Answer:
El ingreso total es todo el dinero que obtiene la empresa por la venta de productos. Se obtiene de multiplicar la cantidad vendida (Q) por su precio (P). Así, si Juan y Ana venden 300 armarios a 30 euros cada uno, su ingreso total son 9.000 euros (300x30)
https://youtu.be/HJtioEk2HIg (video explicando mas)
GIVING BRAINLIEST FOR WHOEVER IS RIGHT.
Hiiiiiiii ghffjhgfjhjgchcjghcfgjcfgjcjfg
1L solution containing 25,000 units run at 30mL/hour
Answer:
750 units
Step-by-step explanation:
As given in question,
speed of solution = 30 mL/hr
1 L of solution contains heparin = 25000 units
=> 1000 mL of solution contains heparin = 25000 units
= > \ \textrm{1 mL of solution contains heparin}\ =\ \dfrac{25000}{1000}\ units=> 1 mL of solution contains heparin =
1000
25000
units
= 25 units
Hence, 30 mL of solutions contains heparin = 30 x 1 mL of solution contains
heparin
= 30 x 25
= 750 units
Hence, heparin administered per hour = 750 units
Step-by-step explanation:
Brainlilest mecarry on
Which point is on the interior of
ДСАВ,
point B
point C
point D
point E
Answer:
I think its point D sorry if its not
find the solution for x in the equation 2(3)^x=8
Answer:
x=1.26186
Step-by-step explanation:
There's an Algebra Calculator called Algebra Papa.
Help please
No links
Answer:
64 square units
Step-by-step explanation:
comment if you need an explanation.
if right, please mark brainliest.
Adam and Don collected a total of 16 stickers. Adam collected 9 stickers. How many stickers did Don collect?
Answer:
7
Step-by-step explanation:
16-9=7
Write an equation of the line that passes through the given point and is perpendicular to the graph of the given equation. (-9,3) 3x + y = 5
Answer:
y = 1/3x + 6
Step-by-step explanation:
Format the given line into slope-intercept form:
y = -3x + 5
Perpendicular lines have a reversed sign and reciprocal slope:
y = 1/3x + b
Plug in the points:
3 = (-9) * 1/3 + b
3 = -3 + b
b = 6
Plug in b:
y = 1/3x + 6
