Answer:
Step-by-step explanation:
Let's solve your inequality step-by-step.
x+10<78
Step 1: Subtract 10 from both sides.
x+10−10<78−10
x<68
Answer:
x<68
Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns 5.5% commission on all
sales. Which of the following expressions represents Hank's total earnings in one month if he has $6,300 in sales?
a. 2,500 + (0.055)(6,300)
b. 2,500 + (5.5)(6,300)
C. (2,500) (5.5) + 6,300
d. (2,500) (0.055) + 6,300
Please select the best answer from the choices provided
B
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Answer:
the answer is A.
Step-by-step explanation:
I just took the test
PLEASE HELP!!!!!!!!! 20 points!!!!
When ethically investing, Taylor should consider which type of data?
A. Only qualitative
B. Both finite and qualitative
C. Only quantitative
D. Both qualitative and quantitativ
When ethically investing, Taylor should consider qualitative and quantitative data.
Quantitative and qualitative dataQuantitative data is anything that can be counted or measured whereas qualitative data is descriptive,
Ethical investing is a strategy where an investor chooses investments based on a personal ethical code. Hence ethical investing is done using quantitative data such as cost and profit to be made. Also, the qualitative data involved are the type of investment if it is based on the persons ethics.
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Answer:D
Step-by-step explanation:just got it right
ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)
When a product fails to perform as warranted, this is called a) contractual liability. O b) product malfunction. c) malicious manufacture. d) breach of warranty
Answer:
d) breach of warranty
hope it help
please mark as brainliest
Suppose a binomial trial has a probability of success of 0.3, and 500 trials are performed. What is the standard deviation of the possible outcomes? Round
your answer to two decimal places.
O A. 10.25
OB. 8.94
O c. 6.71
D. 10.95
The standard deviation of the possible outcomes is to be considered as the 10.25.
Calculation of the standard deviation:Since there is a binomial trial has a probability of success of 0.3, and 500 trials are performed.
So here
q = 1 - P
= 1 - 0.3
=0.7
Now the standard devation be like
\(= \sqrt{500\times 0.3 \times 0.7}\)
= 10.25
hence, The standard deviation of the possible outcomes is to be considered as the 10.25.
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(x + 1)^2 -8 (x-1 +16)
Answer: x2−6x−119
Step-by-step explanation:
provided in the screenshot below
does 14, 19, 26 make a right triangle
Answer:
no one of them has to be 90 degrees
Step-by-step explanation:
Answer:
no it doesnt
Step-by-step explanation:
On a certain day, the temperature outside dropped 5 degrees every hour for 4 hours. How much has it dropped after the 4 hours?
Answer:
OKay i did not get it but it should be 96 hours
Step-by-step explanation:
Which graph shows the solution to the inequality?
The solutions of the given inequality is: x ≥ -1 or x ≤ -5, the correct number line is 2nd.
To solve the inequality |x + 3| ≥ 2, we need to consider two cases:
Case 1: (x + 3) ≥ 2
If x + 3 is greater than or equal to 2, then the absolute value of (x + 3) will also be greater than or equal to 2. Solving this case:
x + 3 ≥ 2
x ≥ 2 - 3
x ≥ -1
So, for this case, the solution is x ≥ -1.
Case 2: -(x + 3) ≥ 2
If -(x + 3) is greater than or equal to 2, then the opposite of (x + 3) will also be greater than or equal to 2. Solving this case:
-(x + 3) ≥ 2
x + 3 ≤ -2
x ≤ -2 - 3
x ≤ -5
So, for this case, the solution is x ≤ -5.
Combining the solutions from both cases, we have the final solution:
x ≥ -1 or x ≤ -5
Hence the number line showing the given inequality is 2nd.
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Remi invests £600 for 5 years in a savings account.
By the end of the 5 years he has received a total of £75 simple interest.
Work out the annual rate of simple interest
Answer:
225600
Step-by-step explanation:
Simple interest formula:
A = P(1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
So...
A = 600(1 +(75 x 5) )
75 x 5 = 375
1 + 375 = 376
600 x 376 = 225600
A = 225600
I have a perimeter of 30 ft in an area of 14 square feet what is the length and the width
Answer:
14 and 1 are the length and width
Step-by-step explanation:
In a certain town in 90 minutes 1/2 inch of rain falls continues at the same rate for a total of 24 hours which of the following statements are true about the amount of rain in the 24 hour.
Answer:
A. 16 times of 1/2 inch of rain
Step-by-step explanation:
24 hours = 1440 minutes
90 minutes = 1/2 inch of rain
1440 divided by 90 = 16
16 times of 1/2 inch of rain
In the spinner below, what is the probability of landing on 5?
A.2/6
B.1/4
C.1/8
D.1/12
If Janet rolls a fair 6-sided number cube 300 times, what is a reasonable prediction
on how many times she will roll a 5?
There are 50 predicted rolls for 5 in 300 times of rolls.
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Janet rolls a 6-sided number cube 300 times,
Probability = (Favourable Outcomes)/(Possible Outcomes)
Favourable Outcomes: 5 (1 total)
Possible Outcomes: 1,2,3,4,5,6 (6 total)
Probability of a 5 in any given roll of a die = 1/6
1/6x300 = 50 = 50 predicted roll with 5.
Hence, There are 50 predicted rolls for 5 in 300 times of rolls.
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Use calculus to find the area A of the triangle with the given vertices. (0, 6), (2, −3), (3, 4)
The area of the triangle with the given vertices is 11.5 square units.
Define the area of triangle by vertices?The area of a triangle can be calculated using the coordinates of its vertices using the following formula.
To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:
A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2
Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:
A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2
A = (0 - 4 + 27)/2
A = 23/2
A = 11.5
Therefore, the area of the triangle with the given vertices is 11.5 square units.
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Find all the points at which the direction of fastest change of the function f(x, y) = x2 + y2 − 4x − 2y is i + j.
Answer:
All the points that lie on the line:
\(y(x)=x-1\)
Step-by-step explanation:
In order to find the maximum rate of change, we need to find the gradient of the function. The gradient of a function of two variables is defined to be:
\(\nabla f =\frac{\partial f}{\partial x} i + \frac{\partial f}{\partial y} j\)
So:
\(\frac{\partial f}{\partial x} = 2x-4=2(x-2)\\\\\frac{\partial f}{\partial y} = 2y-2=2(y-1)\)
Hence:
\(\nabla f(x,y)=2(x-2)i+2(y-1)j\)
Since we need to find all the points at which the direction of fastest change of the function \(f(x,y)=x^{2} +y^{2} -4x-2\) is \(i+j\). Then:
\(2(x-2)i+2(y-1)=ai+aj\\\\a>0\)
Therefore:
\(2(x-2)=2(y-1)\\\\Solving\hspace{3}for\hspace{3}y\\\\y=x-1\)
So, we can conclude, that all the points where the direction of fastest change of \(f(x,y)\) lie on the line:
\(y(x)=x-1\)
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: P=0.93 versus H1:p≠0.93 n=500, x=450, a=0.05 Is np0(1-P0) ≥10? Select the correct choice below and fill in the answer box to complete your choice. A. No because np0(1-P0) equals__ B. Yes, because np0(1-P0) equals__
Using the Central Limit Theorem, it is found that these conditions are required to avoid the high variability associated with small samples.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean and standard deviation , as long as\(np\geq 10\) and \(n(1-p)\geq 10\)From the equation of the standard error, we could see that if one of the conditions is not respected, the standard error would be very high, indicating a low accuracy of the estimate, hence it is found that these conditions are required to avoid the high variability associated with small samples.\(s=\sqrt{p(1-p)/n}\)
If we compare the p value and using the significance level given \(\alpha=0.05\) we have\(pv > \alpha\) so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.\(p v=2*p(z < -0.531)=0.595\)
1) Data given and notation
n=500 represent the random sample taken
X=380 represent the number of people with some characteristic
estimated proportion of adults that said that it is morally wrong to not report all income on tax returns
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1) The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value Check for the assumptions that he sample must satisfy in order to apply the test
a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.
b) The sample needs to be large enough
3) Calculate the statistic
\(z=\frac{0.76 - 0.77}{\sqrt{\frac{0.77(1-77)}{500} } =0.531}\)
Since we have all the info requires we can replace in formula (1) like this:
4) Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided \(\alpha =0.05\)The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
\(pv=2*p(z < -0.0531)=0.595\)
If we compare the p value and using the significance level given we have so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.
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Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
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Select all of the following polnts that lle on the graph of f(x) = 7 - 3x.
Answer:
you need to include a pic of it. dont worry, once u add the pic i will change my answer so 1i dont take up an answer space
Step-by-step explanation:
b. Express log2 24 in terms of prime factors and leave answer in the most simplified form using properties of logarithms. (2 Marks)
log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.
To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.
First, let's find the prime factorization of 24.
24 can be divided by 2, so we have 24 = 2 × 12.
12 can be divided by 2, so we have 12 = 2 × 6.
6 can be divided by 2, so we have 6 = 2 × 3.
Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.
Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.
log₂ 24 = log₂ (2³ × 3)
According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:
log₂ (2³ × 3) = log₂ 2³ + log₂ 3
Since log₂ 2³ is equal to 3, we can simplify the expression further:
log₂ (2³ × 3) = 3 + log₂ 3
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Simplify the expression. (x4y2)1/2 A) 2(x4y2) B) x1/8y1/4 C) x2y D) x8y4 Please help!!!
Answer:
C. \(x^2y\)
Step-by-step explanation:
Given the expression \((x^4y^2)^{\frac{1}{2} }\\\)
Using the law of indices;
\((a^m)^n = a^{mn}\)
\((x^4y^2)^{\frac{1}{2} }\\\\= (x^4)^{\frac{1}{2}} (y^2)^{\frac{1}{2} }\\= x^{4*1/2}y^{2*1/2}\\= x^{2}y\)
Hence the correct answer is \(x^2y\)
Students in a class were asked how many pets they have at home. 0,0,0,0,2,2,2,2,3,3,4,5,6,6,6,6,7,7,7,7,7,8,8,8,8 what was the population mean of the number of pets living in the students homes according to the pet survey
Write the recurring decimal 0.1 as a fraction in its simplest form
Answer:
1/9
Step-by-step explanation:
lol
A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?
Answer:
Check this explaination below
Step-by-step explanation:
Check the attached picture
The ratio of red pens to blue pens in maxs drawer is 4 to 5 how many red pens and how many blue pens are there in the drawer if there are 342 pens altogether? HELP PLEASE
There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.
Let's solve the problem step by step:
Identify the given information:
The ratio of red pens to blue pens is 4 to 5.
There are a total of 342 pens in the drawer.
Set up the ratio equation:
Let's assume the number of red pens is 4x, and the number of blue pens is 5x.
Here, 'x' is a scaling factor that allows us to find the actual number of pens.
We can write the equation as: 4x + 5x = 342.
Simplify and solve the equation:
Combining like terms, we have 9x = 342.
Divide both sides of the equation by 9 to solve for 'x':
x = 342 / 9 = 38.
Calculate the number of red pens and blue pens:
Now that we have the value of 'x', we can find the number of red and blue pens:
Number of red pens: 4x = 4 × 38 = 152.
Number of blue pens: 5x = 5 × 38 = 190.
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I need help with my math problem!!!
(-20/2)^2
Answer:
the correct answer is 100
Q. 1. Solve for x using determinants, x + y = 9, x - y + 3z = 2 and 4y - 32 - 5 = 0.
Hello!
x + y = 9,
x= 9-y
x - y + 3z = 2
x= 2+y -3z
4y - 32 - 5 = 0.
4y = 32+5
4y = 37
y = 37/4
How can I solve .6 x .5
Answer:
The process of repeating additions of the same number.
Step-by-step explanation:
multiply using distributive property ... i think
Find the value of X.
Answer:
x=10
Step-by-step explanation:
Because of the square in the corner, we know the total angle is 90 degrees. Because we know that a part of the 90 degree is 80, the other part has to be 10.
Debra earns $9.72 for each hour of work. She worked 2.5 hours yesterday. Find how much she earned yesterday.
so
X 5
Answer:
$24.3 the answer I done this before but don't really got the explanation