Answer:
A, B
Step-by-step explanation:
After being simplified and put in standard form, the equations are ...
A. 3x² +8x -13 = 0 . . . a quadratic
B. 3x² -x -30 = 0 . . . . a quadratic
C. 4x = -16 . . . . . . . . . a linear equation, not quadratic
D. 3x⁴ -5x -6 = 0 . . . . a quartic equation, not quadratic
Both of the quadratic equations can be solved using the quadratic formula.
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 18, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
One-half of the dogs in each shelter are between which weights?
between 8 and 30 pounds in shelter A; between 10 and 28 pounds in shelter B
between 8 and 17 pounds in shelter A; between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A; between 18 and 28 pounds in shelter B
between 28 and 30 pounds in shelter A; between 20 and 28 pounds in shelter B
Answer:
the 2nd one
i am pretty sure
Step-by-step explanation:
The fifth term of the sequence will be 11.
(-1,2,5,8,...)
True
False
Answer:
True
Step-by-step explanation:
You are adding 3 each time:
Term 1: - 1
Term 2: -1 + 3 = 2
Term 3: 2 + 3 = 5
Term 4: 5 + 3 = 8
Term 5: 8 + 3 = 11
~
Answer:
True
Step-by-step explanation:
if you count 0,1,2,3,4,5,6... a(0) being the FIRST term the answer is A
if you count 1,2,3,4,5... a(1) being the first term (in this case how do you call a(0) the zeroth term?)
very easy question please answer asap giving brainliest
Answer:
D understand the problem.
Step-by-step explanation:
Answer:
gathering of resources is the main first thing .....
Sherelle and Venita find two bags of coins in their grandmother’s attic. Each girl selects a bag, takes a random sample of 20 coins from that bag, and lists the dates of those coins as the number of years since 1900. Here are the results.
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62
1.Find the five-number summary of each data set. Then construct box-and-whisker plots of the data sets. Draw both plots above the same number line. Label the plots with the girls’ names.
Answer:
Step-by-step explanation:
Hello!
The five-number summary comprehends the minimum and maximum values, the 1st and 3rd quartiles and the median.
1st step: is to arrange the data sets from least to greatest.
Sherelle:
26 39 56 58 60 62 65 66 66 68 71 72 72 73 74 75 81 83 84 85
Venita:
44 45 51 51 53 53 55 57 58 62 65 66 69 69 70 73 75 77 78 79
2nd step: To calculate each quartile you have to determine their position and then identify which observation sits in that position:
Quartile 1:
PosQ₁: n/4= 20/4= 5
Quartile 2 (Median)
PosMe: n/2= 20/2= 10
Quartile 3
PosQ₃: n*(3/4)= 20*(3/4)= 15
Since both samples have the same size, the 1st quartile will be the fifth observation of each sample, the median will be the tenth observation and the 3rd quartile will be the fifteenth.
Sherelle:
Q₁: 60
Me: 68
Q₃: 74
Minimum: 26
Maximum: 85
Venita:
Q₁: 53
Me: 62
Q₃: 70
Minimum: 44
Maximum: 79
I hope this helps!
Answer:
Step-by-step explanation:
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a-1) Find the test statistic. (Round your answer to 4 decimal places.) The test statistic (a-2) At the .01 level of significance, is the true mean greater than 10
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≤ 10
For the alternative hypothesis,
µ > 10
The inequality sign indicates that It is a right tailed.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 35,
Degrees of freedom, df = n - 1 = 35 - 1 = 34
t = (x - µ)/(s/√n)
Where
x = sample mean = 14.44
µ = population mean = 10
s = samples standard deviation = 4.45
t = (14.44 - 10)/(4.45/√35) = 5.9
We would determine the p value using the t test calculator. It becomes
p < 0.00001
Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, At a 1% level of significance, we can conclude that the true mean is greater than 10.
What percent of 71 is 37
Answer: 52%
Step-by-step explanation:
37*100=3700/71=52%
h(t)= -20 + 11t
h(11) =
Answer:
h(11) = -20 + 11(11)
h(11) = -20 + 121
h(11) = 101
Step-by-step explanation:
replace t by 11
do multiplication
add them together
Answer:
h(t) =−20+11t h(11)= 101
Step-by-step explanation:
What’s the answer to this question ?
Answer:
the correct choice is marked
Step-by-step explanation:
The zero-crossings at -3 and +3 tell you that one of the factors is the difference of squares:
(x +3)(x -3) = x^2 -9
The zero crossing at -1 tells you that x+1 is a factor.
So, the polynomial factors as ...
f(x) = (x^2 -9)(x +1)
Multiplying this out, we get ...
f(x) = x^2(x +1) -9(x +1)
f(x) = x^3 +x^2 -9x -9 . . . . . . matches the first choice
Land's Bend sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 7 sales receipts for mail-order sales results in a mean sale amount of $81.70 with a standard deviation of $18.75. A random sample of 11 sales receipts for internet sales results in a mean sale amount of $74.60 with a standard deviation of $28.25. Using this data, find the 80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed. Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases ([tex]\mu_1-\mu_2[/tex]) is [-9.132 , 23.332].
Step-by-step explanation:
We are given that a random sample of 7 sales receipts for mail-order sales results in a mean sale amount of $81.70 with a standard deviation of $18.75.
A random sample of 11 sales receipts for internet sales results in a mean sale amount of $74.60 with a standard deviation of $28.25.
Firstly, the Pivotal quantity for 80% confidence interval for the difference between population means is given by;
P.Q. = [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ~ [tex]t__n__1-_n__2-2[/tex]
where, [tex]\bar X_1[/tex] = sample mean sales receipts for mail-order sales = $81.70
[tex]\bar X_2[/tex] = sample mean sales receipts for internet sales = $74.60
[tex]s_1[/tex] = sample standard deviation for mail-order sales = $18.75
[tex]s_2[/tex] = sample standard deviation for internet sales = $28.25
[tex]n_1[/tex] = size of sales receipts for mail-order sales = 7
[tex]n_2[/tex] = size of sales receipts for internet sales = 11
Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(7-1)\times 18.75^{2} +(11-1)\times 28.25^{2} }{7+11-2} }[/tex] = 25.11
Here for constructing 80% confidence interval we have used Two-sample t test statistics as we don't know about population standard deviations.
So, 80% confidence interval for the difference between population means, ([tex]\mu_1-\mu_2[/tex]) is ;
P(-1.337 < [tex]t_1_6[/tex] < 1.337) = 0.80 {As the critical value of t at 16 degree
of freedom are -1.337 & 1.337 with P = 10%}
P(-1.337 < [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] < 1.337) = 0.80
P( [tex]-1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] < [tex]{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}[/tex] < [tex]1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ) = 0.80
P( [tex](\bar X_1-\bar X_2)-1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] < ([tex]\mu_1-\mu_2[/tex]) < [tex](\bar X_1-\bar X_2)+1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ) = 0.80
80% confidence interval for ([tex]\mu_1-\mu_2[/tex]) =
[ [tex](\bar X_1-\bar X_2)-1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] , [tex](\bar X_1-\bar X_2)+1.337 \times {s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex] ]
= [ [tex](81.70-74.60)-1.337 \times {25.11 \times \sqrt{\frac{1}{7} +\frac{1}{11} } }[/tex] , [tex](81.70-74.60)+1.337 \times {25.11 \times \sqrt{\frac{1}{7} +\frac{1}{11} } }[/tex] ]
= [-9.132 , 23.332]
Therefore, 80% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases ([tex]\mu_1-\mu_2[/tex]) is [-9.132 , 23.332].
According to a home securities company, the highest percentage of home burglaries occur during the summer months. Local police conducted a study of home burglaries for a ten-year period. A computer program randomly selected 1500 home burglaries and both the month of burglary and amount of insurance claim were recorded. Of the 1500 home burglaries analyzed in the study, 39% of burglaries occurred in summer months (June, July, August). The average insurance claim was $2,100.
Is the following critique of the study valid or invalid? A city council member argues that the study results can’t be projected onto all local home burglaries because the sample burglaries were not selected fairly.
a. valid
b. invalid
Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 27% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 85 freshmen is selected. Round the answer to at least four decimal places
Answer:
1) It is appropriate to use the normal curve, since np = 22.95 ≥ 10 and n(1 - p) = 62.05 ≥ 10
2) The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline = 0.5832
Step-by-step explanation:
Concluding part of the question
1) Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline?
2) Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline?
Solution
1) The condition for a distribution (binomial) to approximate a normal distribution is that
np ≥ 10 and n(1-p) ≥ 10
where n = sample size = 85
p = population proportion = sample proportion = 0.27
np = 85 × 0.27 = 22.95 ≥ 10
n(1-p) = 85 × 0.73 = 62.05 ≥ 10
2) To obtain the required probability, we need the standard deviation of the sampling distribution
σₓ = √[p(1-p)/n] = √(0.27×0.73/85) = 0.0481541642 = 0.04815
To obtain the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline, we need to standardize 28%
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (0.28 - 0.27)/0.04815 = 0.21
To obtain the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline
P(x < 0.28) = P(z < 0.21)
We'll use data from the normal probability table for these probabilities
P(x < 0.28) = P(z < 0.21) = 0.58317 = 0.5832 to 4 d.p
Hope this Helps!!!
5 inches equals how many feet
Answer:
0.416667
Step-by-step explanation:
divide the length value by 12
happy to help:) mark me as brainliest pls
Find the missing length of the right triangle
what is this phrase in numerical expression
triple the sum of seventeen and ten
pls help
Answer: so you would do 17 plus ten which is 27 so triple 3 so your answer is 27^3
Step-by-step explanation:
sum so your adding plus you need the exponent which is times 3
A triangle is a parallelogram with all sides the same length.
Answer:
False
Step-by-step explanation:
−7×8=?????????????????????????
Answer
the answer is -56
Step-by-step explanation:
1+(5,6)
Square root 3.14
Answer:
still need help
Step-by-step explanation:
A tree grows 20 percent taller every year after it is planted. The tree was 12 feet tall when planted. How tall will it be after 10 years? 74.3 feet 120 feet 144 feet 146.3 feet
Answer:
74.3 feet
Step-by-step explanation:
Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...
(12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft
BRAINLIEST to whoever gets this correct! Factor the expression below.
16x^2-1
A. (2x - 1)(8x - 1)
B. (4x - 1)(4x-1)
C. (2x - 1)(8x+1)
D. (4x - 1)(4x+1)
Answer:
D. (4x - 1)(4x + 1)
Step-by-step explanation:
16 is a perfect square, with its two identical factors being 4. 1 is also a perfect square, with its two factors being 1, but in this case, it's a -1, so we need a positive 1 and a negative 1:
(4x + 1) (4x - 1)
Pls help me I give brainliest thank uu and can u do step by step
Answer:
A. 48,000
Step-by-step explanation:
60 x 20= 1200
1,200 x 40= 48,000
Plz mark brainliest .^.
Answer:
To find the volume you have to multiply all the number together in any order. The order doesn't matter.
Step-by-step explanation:
To find volume=
40*20= 800
then, 800*60= 48,000
since it's in cm and there are 3 numbers then it would be 48,000 cm cubed
What’s the correct answer for this? Select the ones that apply
Answer:
A: -2
B: -10
Step-by-step explanation:
A: the slope of line b is -2
B: Point: (-6,2)
So x= -6 and y = 2
Putting in slope intercept formula for finding b
y=mx+b
2=(-2)(-6)+b
2= 12 + b
b = 2-12
b= -10
The y-intercept of line b is -10
What is the sixth term in the sequence 3, 6, 11, 18
Answer:
38
Step-by-step explanation:
3 to 6 is an add by 3 then 6 to 11 is an add by 5 then 11 to 18 is an add by 7 each add is increased by 2 so the next add will be 9 giving you 27 then you will add 11 because it's increased by two giving you 38
Kate bought 30 shares of Stock XYZ at the close price of $9.67. She bought
30 more shares a year later at the price of $11.12. If her broker charges $18
for each transaction, how much money did Kate spend in total to make these
purchases?
O A. $308.10
B. $351.60
C. $659.70
O D. $623.70
the answer is $659.70
Kate spend in total to make these purchases is $659.70. Therefore, option C is the correct answer.
What is total?A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.
Given that, Kate bought 30 shares of Stock XYZ at the close price of $9.67.
Amount he paid for first 30 shares
= 18 +(30×9.67)
= 18+290.1
= $308.1
Amount he paid for next 30 shares
= 18+(30×11.12)
= 18+333.6
= $351.6
Thus, the total amount paid
= 308.1+351.6
= $659.7
Therefore, option C is the correct answer.
Learn more about the total here:
https://brainly.com/question/15842940.
#SPJ7
PLEASE HELP WHEN YOU SEE THIS
Answer:
~ m∠1 = 35 degrees ( ° ) ~
Step-by-step explanation:
1. This pair of intersecting lines form four pairs of supplementary angles, which may be one approach to this problem.
2. This first pair includes the 145 degree angle, which we may assign as 4, and angle 1, the second being 2 and 1, 2 and 3, and 3 and 145 degrees.
3. If we were to consider the first pair of supplementary angles, it would be that 145 + m∠ 1 = 180, or ⇒ m∠1 = 180 - 145 = 35 degrees ( ° )
4. To confirm that this is the right answer, let us prove that with this measure of ∠1 the intersecting lines = 360 degrees, as after all they form a circle.
5. By Vertical Angles Theorem: m∠2 = m∠4, and m∠3 = m∠1
6. It is provided that m∠4 = 145 degrees ( ° ) and m∠1 = 35 degrees ( ° ). Given such let us substitute these values into Step #5, as such ⇒ m∠2 = 145°, and m∠3 = 35°
7. The sum of the angles are known to 360 degrees, as provided previously, such that m∠1 + m∠2 + m∠3 + m∠4 = 360°, ⇒ 35 + 145 + 35 + 145 = 360, ⇒ 360 = 360
8. This proves that the m∠1 = 35 degrees ( ° )
Solve the problem 5x+(x+6)+3x
what how am I solving do I simplify
The perimeter of a rectangular is 20 centimeters the length is 6 centimeters what is the area of the rectangular
Answer:
24 centimeters
Step-by-step explanation:
Since the longer side is 6 then multiply it by 2 which is 12, now subtract it by 20 since that is its perimeter. then u divide 8 by 2 since theres 2 sides. now do 6 times 4 which is 24
what is (3.9 x 10 to the power of 33) times (3.25 x 10 to the power of 3)
Answer:1.2675x10^37
Step-by-step explanation:
3.9x10^33 x 3.25x10^3
3.9x3.25x10^33x10^3
12.675x10^(33+3)
12.675x10^36
1.2675x10^1x10^36
1.2675x10^(1+36)
1.2675x10^37
Answer:
for 3.25 ⋅ 10 to the power of 3 should be 3250 because 10 to the power of 3 equals 10 ⋅ 3 = 1000 and 1000 ⋅ 3.25 is 3250 because you move the decimal three places to the right ( someone helped my on it and i got it right)
for 3.9 ⋅ 10 to the power of 33 I think it is 1.2675x10^37
im not sure but i hope it helps :)
WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
+ At time 0 (beginning), the volume is 5 (feet^3) of sand.
+ After 1 minute, it lefts: 90% of 5 = 0.9*5
+ After 2 minutes, it left 90% of (0.9*5) = 0.9*(0.9*5)
or
[tex]5.(0.9)^{2}[/tex]
+ After 3 minutes, it left 90% of [tex]5.(0.9)^{2}[/tex]
or
[tex]5.(0.9)^{3}[/tex]
.......
+ After x minutes, it left 90% of [tex]5.(0.9)^{x-1}[/tex]
or
[tex]5.(0.9)^{x}[/tex]
So the answer is [tex]5.(0.9)^{x}[/tex], that means C
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
e is 5 more than d.
fis 7 less than d.
a) Write an expression for e in terms of d.
Answer:
C
Step-by-step explanation:
Answer:
e = d + 5
Step-by-step explanation:
e = d + 5
f = d - 7
Solve for e means write as e = ...d
and this is already there...
You can not write it more compact then this.
If you try, you will notice you finally end with the initial equation which you started with, or you endup with something which is obviously very true like
e = e or d = d.