Answer:
x = -2
y = -4
Explanation:
To find the y-intercept, substitute the x with 0. To find the x-intercept, substitute the y with 0. You can then graph the lines using these intercepts, and see that they intercept at (-2, -14).
factor the polynomial-x^3-4x^2-5x
Answer:
(-x)(x^2 + 4x + 5)
Step-by-step explanation:
You have to factor out the -x from the rest of the expression.
How many factors does 12 have
Answer:
6 if you count 1 and 12
Step-by-step explanation:
1*12
6*2
3*4
(1,12,3,4,6,2)
An ice chest contains 4 cans of apple juice, 5 cans of grape juice, 8 cans of orange juice, and 6 cans of mango juice. Suppose that you reach into the container and
randomly select three cans in succession. Find the probability of selecting three cans of apple juice.
Please help I’m stressing and it’s my last question ‼️‼️
Answer:
(19/23)(18/22)(17/21) or 969/1771
Step-by-step explanation:
You add up the total number of cans, giving you 6+4+5+8 = 23 cans total. From there, you only have 4 cans of grape juice. That means 19 of these cans aren't grape, meaning you are checking the probability of choosing these three times in a row.
The probability of selecting the first can and it not being grape is 19/23. Then, when you select another can in succession, without replacing the cans, you now only have 22 cans left, meaning 18 also will not be grape, so it will be a 18/22 chance. Then, selecting your third can, 21 cans are left, and 17 of them are not grape since you have not yet chosen one, giving you 17/21. You multiply them together.
Hopefully I reduced the fraction properly (or even did this question properly)
The median and mode of this set of data (23,13,17,11,11)
Answer:
Mode: 11
Median: 13
Answer:
(23, 13, 17, 11, 11):
Median: 13
Arithmetic mean: 15
Geometric mean: 14.380735416546
Harmonic mean: 13.848764056076
Mode: 11
Standard deviation: 4.5607017003966
Variance: 20.8
Mean Absolute Deviation: 4
Range: 12
Interquartile range: 9
Lower quartile: 11
Upper quartile: 20
Quartile deviation: 4.5
Population size:5
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
Answer:
-66
Step-by-step explanation:
There will be $66 left after the $12 spent on lunch. 66 + -66 = 0
The number could be -66 combined with the amount left in the account to make zero.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Student has $78 in his checking account
Student spends $12 on lunch
Let, the number is x
78 + x - 12 = 0
x = - 66
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6.
Write a probability model for this experiment, and use the probability model to predict how many times Stacy would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places
Answer:
Hence, Stacy will spin 6, 8.33 times out of her n = 50 attempts.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.
We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have number of times of having a 6, which is 8.33.
Use the Pythagorean theorem and the square root property to solve the following problem . Express your answer in simplified radical form . Then find the decimal approximation to the nearest tenth . A rectangular park is 10 miles long and 5 miles wide . How long is a pedestrian route that runs diagonally across the park
Answer:
square root of 125 rounded to 11.2 milies to the nearest tenth
Solve C = AB + D for B
Answer:
B=(C-D)/A
Step-by-step explanation:
You first subtract D from both sides, and then you get C-D=AB. To isolate the variable of B, you divide both sides by A, resulting in B=(C-D)/A.
Answer:B=(C-D)/A
Step-by-step explanation:
C=AB+D
Subtract D from both sides
C-D=AB+D-D
C-D=AB
Divide both sides by A
(C-D)/A=AB/A
(C-D)/A=B
B=(C-D)/A
Sally wants to fill ten 8-inch tea glasses. How much tea does she need?
A) 80 ounces
B) 40 ounces
C) 80 cubic inches
D) Not enough information to answer
Answer
I believe C considering cubic mass
Answer:
D
Step-by-step explanation:
What’s the correct answer for this?
Answer:
A number, such as 10 is a composite number because it is even.
9x-3=87 what is the anwser
Answer:
x=10
Step-by-step explanation:
9x-3=87
add 3 to both sides
9x=90
divide by 9 on both sides
x=10
Answer:
x=10
Step-by-step explanation:
9x-3=87
you add 3 to both sides
9x-3(+3)=87(+3)
which equals
9x=90
90/9= 10
answer:
x =10
I hope this helped!
How do you graph -1/4 X. Squared
Answer:
Points at (0,0) and (4,-1)
Step-by-step explanation:
Which line is parallel to y = 1/2x -5
Answer:
Any line with a slope of 1/2 would be parallel to that line.
Step-by-step explanation:
A line is parallel when the slopes are the same, causing the situation where the lines will never intercept. The line in the question has a slope of 1/2, so a parallel line must have that same slope.
Write an equation in slope-intercept form for the line that passes through (4,-4) and parallel to 3 +4x=2y-9
Answer:
y=-2x-12
Step-by-step explanation:
Make the equation into slope intercept form
-2y=-4x-12
divide by -2
y=2x+6
since the line is parallel the slope is the same
y=2x+b
plug in (4,-4)
-4=8+b
b=-12
y=-2x-12
A boat sailed 560 km in 8 hours. It took three hours to travel
the first 150 km. What was its average speed for the
remaining journey?
km/h
Step-by-step explanation:
150 km in 3 hours
= 150 ÷ 3 = 50km/h
Remaining distance = 560 - 150 = 410
Remaining hours = 8 - 3 = 5
Then average speed = 410 ÷ 5 = 82 km / h
Mae and Luke are players on a game show. Mae has 80 points and Luke has -20 points. How many more points than Luke does
Mae have?
at the dade county fair, the williams family bought 6 burgers and 4 gatorades for $14.10. the jackson family bought 3 burgers and 4 gatorades for $9.15.find the price of a burger and the price of a gatorade sn: i need help like really fast
Answer:
The cost of a burger is $1.65 and the cost of a gatorade is $1.05.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the price of a burger.
y is the price of a gatorade.
6 burgers and 4 gatorades for $14.10
This means that [tex]6x + 4y = 14.10[/tex]
3 burgers and 4 gatorades for $9.15.
This means that [tex]3x + 4y = 9.15[/tex]
Will write 4y as a function of x.
[tex]4y = 9.15 - 3x[/tex]
Replacing in the first equation:
[tex]6x + 4y = 14.10[/tex]
[tex]6x + 9.15 - 3x = 14.10[/tex]
[tex]3x = 4.95[/tex]
[tex]x = \frac{4.95}{3}[/tex]
[tex]x = 1.65[/tex]
And
[tex]4y = 9.15 - 3x[/tex]
[tex]4y = 9.15 - 3*1.65[/tex]
[tex]4y = 4.2[/tex]
[tex]y = \frac{4.2}{4}[/tex]
[tex]y = 1.05[/tex]
The cost of a burger is $1.65 and the cost of a gatorade is $1.05.
What is the period of the sinusoidal function?
the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?
Answer:
116.82 square inches
Step-by-step explanation:
The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.
The area of the four triangles is ...
total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²
The area of the 10-inch square is ...
square area = (10 in)² = 100 in²
Then the total window area is ...
window area = 16.82 in² +100 in²
window area = 116.82 in²
Rewrite the decimal in the sentence below as a percentage.
The large tanks made up 0.66 of their sales last quarter.
Answer:
0.0066%
Step-by-step explanation:
Which equation has the solution x = 12?
(A
4x + 3 = 45
B
5x - 8= 68
2x - 5=29
3x +6=42
Answer:
D). last one
Step-by-step explanation:
a. 4x+3=45
4x=42
x=10.5 (incorrect)
b. 5x-8=68
5x=76
x=25.2 (incorrect)
c. 2x-5=29
2x=34
x=17 (incorrect)
d. 3x+6=42
3x=36
x=12
As a New Year's resolution, Jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months. Listed below are the balances and annual percentage rates for Jimmy's credit cards. In order to pay his credit card debt off in the next 12 months, what will Jimmy's total minimum credit card payment be?
Credit Card. Current Balance. APR.
A. $563.00. 16%
B. $2,525.00 21%
C. $972.00. 19%
D. $389.00. 17%
a. $321.83
b. $361.45
c. $374.65
d. $411.25
Answer:
D) FOR BOTH
so 1. D $389.00 17%
2. is D $411.25
Jimmy's Total Minimum Credit Card Payment must be equal to $71.54 if he is to clear his debt over the next 12 months.
What is Minimum Credit Card Payment (MCC)?In order for a credit issuer to give an applicant a card, there is a minimum amount that must be deposited into and remain in such a bank account every month. This is what is called a minimum credit card payment.
To calculate Jimmy's MCCP across all cards, we must use the formula:
(APR * Days of Billing Cycle * balance)/365
So for A:
((563 * 30 * 16)/365)/100 = $7.40
For B:
((2,525 * 30 * 21)/365) / 100 = $43.52
For C:
((972 * 30 * 19)/365) / 100 = $15.18
For D:
((389 * 30 * 17)/365) / 100 = $5.44
To get Jimmy's total Minimum Credit Card Payment, we say:
7.40 + 43.52 + 15.18 + 5.44 = $ 71.54
See the link below for more about Minimum Credit Card Payment:
https://brainly.com/question/1245865
HELP im having trouble with this problem :( 3 /1 (4⋅3)+2 / 3
Answer:
36.6666666667
Step-by-step explanation:
3(12)+2/3
Plz help me -Thanks
Answer:
She is wrong
Step-by-step explanation:
Bacause it can't feet according to the area given
The tiles are bigger
Answer:
[tex]\mathrm{Sum\:of\:Exterior\:Angle\:\ne \:Interior\:Angle}\:\\\\132^\circ\ne135^\circ[/tex]
Step-by-step explanation:
The exterior angle two figures on the left (hexagon and pentagon) sums up to [tex]132^\circ[/tex]. The interior angle of figure on the right must be equal to this sum to fit in. The interior angle of an octagon is [tex]135^\circ[/tex].
So, it is not possible to fit the octagon in the combination of other two tiles.
Regards: Umer
What’s the volume of the pic
Answer:
100[tex]\pi[/tex] cubic cm
Step-by-step explanation:
The volume of a cone can be represented by the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]. Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:
[tex]V =\frac{1}{3} \pi (5^{2}) (12)[/tex]
[tex]V = 100\pi[/tex]
HOPE THIS HELPED! :)
please ASAP , giving BRAINLIEST if correct.
Answer:
B. -3(4x + 1) (x - 4)
Step-by-step explanation:
Out of the other answer choices, "B," is the only that factorizes correctly and ends up with the correct factorization (It already gives you the break-down of the trinomial).
However, if you're unsure about the answer, you can always take the end result: -3(4x + 1) (x - 4), and multiply it together to see if you can end up with the original trinomial: [tex]-12x^2 + 45x + 12[/tex]
What percent of 71 is 37
Answer: 52%
Step-by-step explanation:
37*100=3700/71=52%
BRAINLIEST for whoever gets this correct! Factor the expression below.
x^2-16x+64
A. (x-4)(x-16)
B. (x+4)(x+16)
C. (x+8)(x + 8)
D. (x-8)(x-8)
Answer:
D. (x - 8) (x - 8)
Step-by-step explanation:
-16x must be split into two terms that can be added to get -16, and multiplied to get 64. The only two terms that can satisfy this, is -8.
(x - 8) (x - 8)
If you're unsure about whether it's correct, you can multiply the two together to see if you get your original expression, [tex]x^2-16x +64[/tex], as your answer.
In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.
Answer:
21
Step-by-step explanation:
Answer:
6.7
Step-by-step explanation:
A company makes car batteries and claims 80% of its ABC batteries are good for 70 months or longer. Assume that this claim is true. Let p ˆ be the proportion in a sample of 100 such ABC batteries. What is the probability that this sample proportion is within 0.05 of the population proportion.
Answer:
78.88% probability that this sample proportion is within 0.05 of the population proportion
Step-by-step explanation:
We need to understand the normal probability distribution and the central limit theorem to solve this question.
Normal probability distribution
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this question:
[tex]p = 0.8, n = 100[/tex]
So
[tex]\mu = 0.8, s = \sqrt{\frac{0.8*0.2}{100}} = 0.04[/tex]
What is the probability that this sample proportion is within 0.05 of the population proportion.
This is the pvalue of Z when X = 0.8 + 0.05 = 0.85 subtracted by the pvalue of Z when X = 0.8 - 0.05 = 0.75.
X = 0.85
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.85 - 0.8}{0.04}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a pvalue of 0.8944.
X = 0.75
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.75 - 0.8}{0.04}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056.
0.8944 - 0.1056 = 0.7888
78.88% probability that this sample proportion is within 0.05 of the population proportion
