Answer:
1.84$
Step-by-step explanation:
add 3.42 + 4.74 = 8.16 then 10 - 8.16 = 1.84
A school’s math department has money to spend on calculators. It uses the equation y = 1,000 – 80x to determine how much money is left in the account to spend on calculators, where x represents the number of calculators purchased. What is the meaning of the slope of the equation?
A. Each calculator costs $1,000.
B. The account had $1,000 before buying calculators.
C. Each calculator costs $80.
D. The account had $80 before buying calculators.
Answer:
C. Each calculator costs $80.
Step-by-step explanation:
Linear equation:
Has the following format:
[tex]y = mx + b[/tex]
In which m is the slope, and the meaning is how much the output changes when the input changes by 1 unit.
In this question:
Amount remaining after buying x calculators:
[tex]y = 1000 - 80x[/tex]
So the slope of -80 means that each calculator costs $80, since after buying a calculator, 80 is retired from the amount.
The answer is given by option C.
1 Which triangle appears to be an obtuse
triangle?
C
B
D
Answer:D you can tell it’s much wider and it’s not at a 90 degree or less
Step-by-step explanation:
(x2 - 3)(x2 + 12) = 0
Answer:
x=1.7320508075688772 or x=−1.7320508075688772
Step-by-step explanation:
(x2−3)(x2+12)=0
x4+9x2−36=0
(x2−3)(x2+12)=0
x2−3=0 or x2+12=0
x=1.7320508075688772 or x=−1.7320508075688772
Given f(x)= 5x®, what is the domain? O 5
Answer:
all real numbers (D)
the range is y>= 0 (option B)
Step-by-step explanation:
the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0
hope this helps and you have a very nice day !! :)
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
This 3rd and 2nd grade lvl paper
Answer:
This is the
Step-by-step explanation:
This is te changes of the eart
Across
2: Transpiration
3: Atmosphere
5: Potential
6: Precipitation
7: Condensation
Down
1: Evaporation
4: Condensation
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
Match each sum or difference with the correct simplified expression.
(x - 5) - (x - 1)
2x - 4
(x - 5) + (x + 1)
2x - 6
(x - 5) - (x + 1)
4.
(x - 5) + (x - 1)
-6
Answer:
[tex](x-5)-(x-1)=-4[/tex]
[tex]=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Step-by-step explanation:
In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.
[tex](x-5)-(x-1)=x-5-x+1[/tex]
[tex]=-4[/tex]
[tex](x-5)+(x+1)=x-5+x+1[/tex]
[tex]=2x-4[/tex]
[tex](x-5)-(x+1)=x-5-x-1[/tex]
[tex]=-6[/tex]
[tex](x-5)+(x-1)=x-5+x-1[/tex]
[tex]=2x-6[/tex]
The answers are
[tex](x-5)-(x-1)=-4[/tex]
[tex](x-5)+(x+1)=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Answer:
Step-by-step explanation:
I got it right on edge 2022!
An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. What is the probability that C is ranked first and D is ranked last?
Answer and explanation:
Probability = number of favorable outcomes/ total number of outcomes
Since all glasses labelled C, D, and P are all same Cola
Probability that C is ranked first = 1/3
Probability that D is ranked last = 1/3
tiffany makes money by commission rates. She gets 21% of everything she sells. If tiffany sold $27000 worth of items this month, what is her salary for the month .
Answer:
[tex]Salary = \$5670[/tex]
Step-by-step explanation:
Given
[tex]Items = \$27000[/tex]
[tex]Rate = 21\%[/tex]
Required
Determine her salary
Her salary is calculated as:
[tex]Salary = Rate * Items[/tex]
This gives:
[tex]Salary = 21\% * \$27000[/tex]
Convert % to decimal
[tex]Salary = 0.21 * \$27000[/tex]
[tex]Salary = \$5670[/tex]
Zack and Noah jogged 2/5 of a mile and walked another 1/4 of a mile. How far did they go in all?
In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
Y-21<85 help me pls
I don’t get this stuff lol
Answer:
it is y<106
Step-by-step explanation:
remember to add 85 and 21 together :)
A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get
Answer:
The best possible final average this student can get is 94.
Step-by-step explanation:
The average score is given by the sum of the scores of all tests divided by the number of tests.
In this question:
First three tests: Mean score of 92, so total score of 92*3 = 276
Best possible score, with 4 tests:
In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:
[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]
The best possible final average this student can get is 94.
If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65
Answer:
D. 0.65
Step-by-step explanation:
Do 52/80 to get the answer which is D.
1) All cars are blue. (2) All pigs have wings. Therefore, (3) All buses have three wheels. Question 2 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.
Answer:
Fails the true premises test and fails the proper form test
Explanation:
A valid argument must pass the true premises test and the proper form test.
True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
The two trapezoids below are similar. What is the length of EF
Answer:
answer is 6
Step-by-step explanation:
i know answer is 2 weeks late
Can someone help? Will give brainliest!! Ty
Which pair
angles must be supplementary?
21
5
3 4
4 and 1
Step-by-step explanation:
Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.
Answer:
C. 4 and 5
I hope I was able to help.
HELP!!! NEED HELP! It is a very confusing lesson
Why is 2/10 equivalent to 1/5?
Answer:
If you divide both top and bottom of [tex]\frac{2}{10}[/tex] by 2, you get [tex]\frac{1}{5}[/tex]
Answer:
because you have to find common denominators
2/10= 1/5
2/10= 1x2/5x2
Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.
2/10=2/10
Hope it helped!! Pls mark brainliest :)) Have a good day
Step-by-step explanation:
What is 1/9 as whole number
Answer:
4/3
Step-by-step explanation:
because it is just that
Answer:
0.11111111111
Step-by-step explanation:
help i don’t know how to do this
Answer: E and F
Step-by-step explanation:
really long story, but those two are the correct answers. hope this helps! :)
2.5% of what number is 14?
Answer: 560
Step-by-step explanation: 2.5 percent (calculated percentage %) of what number equals 14? Answer: 560.
The unknown number will be; 560.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent considered thing is of "a" is b%. Then the percent shows per 100 (since cent means 100).
a x b/100 = a x b%
WE need to find the 2.5% of unknown number is 14.
Let the unknown number be x
Then;
2.5% of x = 14.
Simplify;
2.5/100 × x = 14
0.0025 × x = 14
x = 14/0.0025
x = 560
Hence, the unknown number will be; 560.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ2
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:
Answer:
y + 1 = 8 (x + 7)
Step-by-step explanation:
point slope form is
y - y1 = m (x - x1)
So replace the y1 with the y point, and the x1 with the x point
y - (-1) = m (x - (-7) )
then replace the m with the slope
y - (-1) = 8 (x - (-7) )
now solve
y + 1 = 8 (x + 7)
There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?
9514 1404 393
Answer:
468
Step-by-step explanation:
Men:
(3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30
Women:
(4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30
The total number of members over 30 is ...
180 +288 = 468 . . . members over 30
I will give brainiest.
Answer:
the third one is the answer
