Answer:
Identify a, b , and c in the trinomial ax2+bx+c.
Write down all factor pairs of c.
Identify which factor pair from the previous step sum up to b.
Substitute factor pairs into two binomials.
Step-by-step explanation:
What is the value of a?
45°
(2x-5)
Answer:
x=70
Step-by-step explanation:
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Divide 140 by 2 to get X=70
Solve for x.
Question 4 options:
A)
8
B)
–8
C)
9
D)
–9
Answer:
x = -9
Step-by-step explanation:
Given:
BC = x + 19
ST = x + 29
Required:
Value of x
Solution:
Midsegment theorem states that the midsegment of a triangle = ½ of the length of its third side
Thus:
BC = ½(ST)
Substitute
x + 19 = ½(x + 29)
Multiply both sides by 2
2(x + 19) = x + 29
2x + 38 = x + 29
Collect like terms
2x - x = -38 + 29
x = -9
Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i
Answer:
[tex]\sqrt{-25} = 5i[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{-25[/tex]
Required
An equivalent
We have:
[tex]\sqrt{-25[/tex]
Express -25 as -1 * 25
[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]
Split
[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]
[tex]\sqrt{25} = 5[/tex], so:
[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]
[tex]\sqrt{-1} = i[/tex] --- complex numbers
So:
[tex]\sqrt{-25} = i * 5[/tex]
[tex]\sqrt{-25} = 5i[/tex]
Hence, the equivalent is (D)
Which of the following scenarios is best represented by the scatter plot above?
Answer: B
Step-by-step explanation:
negative correlation so as x increases y decreases,
as population rises houses should rise, not A
as buildings rise, need more space and less trees, B is the answer
as cars rise population should rise, not C
no correlation, not D
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.19. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02
Answer:
A sample of 2084 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.19.
This means that [tex]\pi = 0.19[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02?
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.327\sqrt{\frac{0.19*0.81}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.327\sqrt{0.19*0.81}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.19*0.81}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.19*0.81}}{0.02})^2[/tex]
[tex]n = 2083.4[/tex]
Rounding up:
A sample of 2084 is needed.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb. A sample of 40 is randomly selected and the average strength was found as 105lb. Let μ denote the average tuft strength. Could it be that the average tuft strength is above 100 lb? Based on the information, what should be the appropriate null and alternative hypotheses for the purpose of your analysis?
Answer:
The null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
The alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is: [tex]H_{0}: \mu = 100[/tex]
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is: [tex]H_{a}: \mu > 100[/tex]
What expression is equivalent to 5(4x+3)-2x
Answer:
18x+15
Step-by-step explanation:
This is basically asking you to simplify the expression.
5(4x+3)-2x
Distribute the 5
20x+15-2x
Combine like terms (x values)
18x+15
help screenshot below
Put the correct answer for but if I check the answer and the answer is wrong then i´m going to report you!
Answer:
It’s C
Step-by-step explanation:
Why because it’s is
Dream should do a facial revile
What is the rate of change of the function y - 6x + 3?
Answer:
6
i think the - was meant to be an = instead of -
Step-by-step explanation:
rate of change is the same as slope
that is slope-intercept form.
y=mx+b
m is slope
slope= 6
Answer:
The rate of change is 6
Step-by-step explanation:
Set the equation equal to 0:
y-6x+3=0
Now solve for y because we want the equation in y=mx+b form where m is the rate
Subtract 3:
y-6x=-3
add 6x
y=6x-3
Now in y=mx+b form
m would equal 6
Ben Carson was loaned $125.00 to pay $6.00 interest for $100.00 every week ,after 3 weeks how much do he pay back to clear the dept A. $140 B. $147.50 C. $155 D. $135.50 E. 143
Answer:
Total amount pay after 3 week = $147.5
Step-by-step explanation:
Given:
Amount of loan taken = $125
Amount interest per $100 = $6 per week
Find:
Total amount pay after 3 week
Computation:
Amount of interest per week = 125[6/100]
Amount of interest per week = $7.5 per week
Amount of interest in three week = 3 x Amount of interest per week
Amount of interest in three week = 3 x 7.5
Amount of interest in three week = $22.5
Total amount pay after 3 week = Amount of loan taken + Amount of interest in three week
Total amount pay after 3 week = 125 + 22.5
Total amount pay after 3 week = $147.5
PLEASE HELP ME WITH THIS !
Answer:
uh idek
Step-by-step explanation:
Answer:
1) 20.2
2) 13
3) 10.3
4) 103
Step-by-step explanation:
If you need help solving these on your own next time, here's the formula
a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.
To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)
Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.
(ex. √408.64, which is 20.2)
A rectangle is drawn at (-4,-2) (-1,-2) (-4,-4) and (-1,-4). What is the perimeter?
Answer:
12
Step-by-step explanation:
Solve the equation (216/739)^1/3
The plane was flying long so it's true!
The number of microscopic organisms in a petri dish grows exponentially with time. The function P below models the number of organisms after growing t days in the petri dish. Based on the function, which of the following statements is true?
P(t) = 60(3)^t/2
A. the predicted number of organisms in the dish triples every two days
B. The predicted number of organisms in the dish doubles every three days
C. The predicted number of organisms in the dish triples every day
D. The predicted number of organisms in the dish doubles every day
Answer:
A
Step-by-step explanation:
Given
P(t) = 60 [tex](3)^{\frac{t}{2} }[/tex]
Then
P(1) = 60 × [tex]3^{\frac{1}{2} }[/tex] = 60[tex]\sqrt{3}[/tex]
P(2) = 60 × 3 = 180
P(3) = 60 × [tex]3^{\frac{3}{2} }[/tex] = 60 ×[tex]\sqrt{3^{3} }[/tex] = 60 × 3[tex]\sqrt{3}[/tex] = 180[tex]\sqrt{3}[/tex]
P(4) = 60 × 3² = 60 × 9 = 540
P(5) = 60 × [tex]3^{\frac{5}{2} }[/tex] = 60 × [tex]\sqrt{3^{5} }[/tex] = 60 × 9[tex]\sqrt{3}[/tex] = 540[tex]\sqrt{3}[/tex]
P(6) = 60 × 3³ = 60 × 27 = 1620
From these 6 results we see that
P(3) = 3 × P(1)
P(4) = 3 × P(2)
P(5) = 3 × P(3)
P(6) = 3 × P(4)
The predicted number of organisms triples every 2 days → A
In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?
Answer:
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 934
Given that the population proportion P = 0.51
Q= 1-P
Q = 1- 0.51 = 0.49
The sample proportion
[tex]p = \frac{x}{n} = \frac{501}{934} = 0.5364[/tex]
Level of significance = 0.05
Critical value Z₀.₀₅ = 1.96
Step(ii):-
Null hypothesis: P < 0.51
Alternative Hypothesis : P > 0.51
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }[/tex]
Z = 1.5950
Final answer:-
Given that P-value 0. 0532
P-value > 0.05
Rejected Alternative Hypothesis and accepted null hypothesis
( OR)
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Part 3: The Space Inside! 1. Find the volume of the shipping box using the two methods and show your work: A. Packing cubes B. Using the volume formula 2. Explain how both methods provide the same measurement of volume for the shipping Let's ship. You are done! Penny and her classmates thank you, i really need help with the volume formula and the packing cubes
Answer:
Don't click the site its a scam and will give your phone a virus
Which of the following is used by a seller to deceive a buyer? a. bait and switch b. contest c. display d. introductory offer
Which expression is equivalent to
y
2
Answer:
Hello!
Distributive property: a(b+c)=ab+ac
Minus and plus sign.
Then multiply by the numbers.
Hope this helps!
Thanks!
Have a great day!
Step-by-step explanation:
Which number is equivalent to (6^2)^0
Answer:
B
Step-by-step explanation:
Anything to the 0 power is 1
Find the following limit. Limit of StartFraction StartRoot x + 2 EndRoot minus 3 Over x minus 7 EndFraction as x approaches 7 Which statements describe finding the limit shown? Check all that apply. Multiply by StartFraction StartRoot x + 2 EndRoot + 3 Over StartRoot x + 2 EndRoot + 3 EndFraction. Get x – 1 in the numerator. Get (x -7)(StartRoot x + 2 EndRoot minus 3) in the denominator. Divide out a common factor of x – 7. Calculate the limit as StartFraction 1 Over 6 EndFraction.
ANSWERS: A,D,E
Answer:
a,d,e
Step-by-step explanation:
In this question, we apply limit concepts to get the desired limit, finding that the correct options are: A, D and E, leading to the result of the limit being [tex]\frac{1}{6}[/tex].
Limit:
The limit given is:
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7}[/tex]
If we apply the usual thing, of just replacing x by 7, the denominator will be 0, so this is not possible.
When we have a term with roots, we rationalize it, multiplying both the denominator and the denominator by the conjugate.
Multiplication by the conjugate:
The term with the root is:
[tex]\sqrt{x+2} - 3[/tex]
It's conjugate is:
[tex]\sqrt{x+2}+3[/tex]
Multiplying numerator and denominator by the conjugate, meaning option A is correct:
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3}[/tex]
We do this because at the numerator we can apply:
[tex](a+b)(a-b) = a^2 - b^2[/tex]
Thus
[tex]\lim_{x \rightarrow 7} \frac{\sqrt{x+2}-3}{x-7} \times \frac{\sqrt{x+2}+3}{\sqrt{x+2}+3} = \lim_{x \rightarrow 7} \frac{(\sqrt{x+2})^2 - 3^2}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x+2-9}{(x-7)(\sqrt{x+2}+3)} = \lim_{x \rightarrow 7}\frac{x-7}{(x-7)(\sqrt{x+2}+3)}[/tex]
Thus, we can simplify the factors of x - 7, meaning that option D is correct, and we get:
[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3}[/tex]
Now, we just calculate the limit:
[tex]\lim_{x \rightarrow 7} \frac{1}{\sqrt{x+2}+3} = \frac{1}{\sqrt{7+2}+3} = \frac{1}{3+3} = \frac{1}{6}[/tex]
Thus, option E is also correct.
Using a limit calculator, as given by the image below, we have that 1/6 is the correct answer.
For more on limits, you can check https://brainly.com/question/12207599
A data set is shown below. Which is the outlier? 56, 64, 73, 59, 98, 65, 59.
Most of the numbers are in the 50’s and 60’s so the outlier would be 98
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase?
the answer is 24 water pour into the vase
I NOW HAVE 690 PTS ALSO PLEASE HELP WITH MY MOST RECENT QUESTION
Answer:
Okay
Step-by-step explanation:
I'll see if I know the answer
Eddie's bedroom is shaped like a rectangle. It has an area of 208 square feet. The width of the room is 13 feet. What is the length?
Answer:
16
Step-by-step explanation:
Answer:
16 feet is the length.
Step-by-step explanation:
The area of a rectangle is A = L x W
If we know the area then:
208 = L x 13
208/13 = L
L= 16 feet
What doesn't belong: 3 11 6 66 33
Answer:
Step-by-step explanation:
6
Answer:
11 Doesn't belong because there are a 3 and 33, 6 and 66, but no 1 before 11.
Night Owls ~ A MSU psychologist reports that 38% of MSU students regularly sleep less than 8 hours each night. Cindy believes that the actual proportion of MSU students who regularly sleep less than 8 hours each night is less than the value reported by the MSU psychologist. She randomly selects 204 students and asks them, "Do you regularly sleep less than 8 hours each night?" She finds that 65 of the 204 students answered "yes" to the question.
Answer:
Hello your question is incomplete attached below is the complete question
1) It is a claimed parameter ( A )
2) B
Step-by-step explanation:
1) It is a claimed parameter and this is because it represents a proportion of the population
2) The null and alternate hypothesis is
H0: p = 0.38
HA: p < 0.38
30 POINTS!!!
What is the approximate rate of change of this function on the interval [-2, 2]
A.-9/8
B.-7/2
C. 8/7
D. 4
Answer:A
Step-by-step explanation:
The approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
The interval given as: -2 ≤ x ≤ 2
Let (x_1,y_1) = (-2, 2) and (x_2,y_2) = (2, -2.5)
The rate of change
[tex]\dfrac{y_2-y_1}{x_2-x_1}\\\\\\=\dfrac{-2.5-2}{2+2} \\\\=\dfrac{-4.5}{4}\\\\=-\dfrac{9}{8}[/tex]
Therefore, the approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.
Learn more about rate of change here:
https://brainly.com/question/19167959
#SPJ2
You select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a red marble? A)1/8
B)2/4 C)2/5 D) 3/11
Answer:
i think its b but I'm not exactly sure i have to check again
Step-by-step explanation:
PLEAS HELP ASAP :)))))
Answer:
18 inches
Step-by-step explanation:
54*1/3=18(inches)