[tex]12x^{3} - {9x}^{2} + 4x - 3 = \\ = 3 {x}^{2} (4x - 3) + 1(4x - 3) = \\ = (4x - 3)( {3x}^{2} + 1)[/tex]
Answer:4x+15
Step-by-step explanation: PEMDAS. First you multiply 12x3 and 9x2 so you get 36-18. Then you subtract 18 from 36 leaving you with 18. Then you combine 18 and -3, leaving you with 4x-15.
help immediately
11.
Some of the steps in Raya's solution to 2.5(6.25 x +0.5) - 11 are shown.
Statement
1. 2.5(6.25x +0.5) - 11
2.
3.
Reason
1. Given
2.
3. Subtraction property of
equality
4. 7
4. x0.624
Select the correct reason for line 4 of Raya's solution.
O Closure property
O Distributive Property
O Addition property of equality
Division property of equality
O Symmetric property of equality
Answer:
The value of x is 0.624.
Property used: Symmetric property of equality
Step-by-step explanation:
The expression to be solved is:
[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]
Compute the solution as follows:
[tex]f (x) = 2.5\cdot (6.25x+0.5)-11[/tex]
[tex]=(2.5\times 6.25\ x)+(2.5\times 0.5)-11[/tex]
∵ Distributive property (a (b + c) = ab + ac)
[tex]=15.625x+1.25-11\\=15.625x-9.75[/tex]
Substitute equation equal to 0 to compute the value of x as follows:
[tex]0=15.625x-9.75\\\\15.625x=9.75\\\\[/tex]
∵ Symmetric property of equality if a = b then b = a
[tex]x=\frac{9.75}{15.625}\\\\x=0.624[/tex]
Thus, the value of x is 0.624.
Answer:
lol
Step-by-step explanation:
1.) 2.5(6.25x + 0.5) = 11
2.) 15.625x + 1.25 = 11
3.) 15.625x = 9.75
4.) x = 0.624
Reason
1.) Given
2.) Distributive Property
3.) Subtraction Property of Equality
4.) Division Property of Equality
Public health officials believe that 91​% of children have been vaccinated against measles. A random survey of medical records at many schools across the country found​ that, among more than​ 13,000 children, only 88.1​% had been vaccinated. A statistician would reject the​ 98% hypothesis with a​ P-value of P= 0.0001.
Required:
a. Explain what the P-value means in this context.
b. The result is statistically significant, but is it important?
Answer:
a) The p value is a probability always between 0 and 1 and represent the evidence in favor of the alternative hypothesis if it's a low value then we have enough evidence to reject the null hypothesis otherwise we FAIl to reject the null hypothesis
b) For this case the result is important because the parameter established by the Public Healt is incorrect ,we obtain a significant result so then there is enough evidence to conclude that the true proportion of children that have been vaccinated against measles is lower than 91%
Step-by-step explanation:
For this case the system of hypothesis are:
Null hypothesis:[tex]p=0.91[/tex]
Alternative hypothesis:[tex]p < 0.91[/tex]
When we conduct a proportion test we need to use the z statisitc, and the is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
For this case after conduct the hypothesis we have the following p value obtained:
[tex] p_v = 0.0001[/tex]
Part a
The p value is a probability always between 0 and 1 and represent the evidence in favor of the alternative hypothesis if it's a low value then we have enough evidence to reject the null hypothesis otherwise we FAIl to reject the null hypothesis
Part b
For this case the result is important because the parameter established by the Public Healt is incorrect ,we obtain a significant result so then there is enough evidence to conclude that the true proportion of children that have been vaccinated against measles is lower than 91%
ther are twi factors of -36 such that one factor is 11 less than half of the other factor.
Answer:
The 2 factors are -2 and 18.
Step-by-step explanation:
xy = -36
Let y = 0.5x - 11 so
x(0.5x - 11) = -36
0.5x^2 - 11x + 36 = 0
0.5(x^2 - 22x + 72) = 0
(x - 4)(x - 18) = 0
x = 4, 18.
Try x = 18:-
The 2 numbers which are factors of -36 must be -2 and 18 because they fit the requirement that 0.5(18) - 11 = 9 - 11 = -2.
») What kind of triangle is this?
9
17
16
Answer:
scalene
Step-by-step explanation:
We know it isn't a right triangle because it doesn't satisfy the Pythagorean Theorem (9² + 16² ≠ 17²). Because the lengths of the sides are all different, it can't be an equilateral (all equal sides) or an isosceles (2 equal sides) either. Therefore, it is a scalene triangle (all 3 sides different). Hope this helps!
What’s the correct answer for this?
Answer:
3 option is correct according to me
Answer:
Second option is the correct answer
[tex](x-2)^{2} =79[/tex]
Step-by-step explanation:
[tex]x^{2} -4x -75=0\\(x^{2} -4x+ 4)-4 -75=0\\(x-2)^{2}-79=0\\(x-2)^{2} =79\implies (x-h)^{2} =p[/tex]
According to the historical data, the life expectancy in Argentina is equal to the life expectancy in Bolivia. A new study has been made to see whether this has changed. Records of 265 individuals from Argentina who died recently are selected at random. The 265 individuals lived an average of 74.8 years with a standard deviation of 4.1 years. Records of 300 individuals from Bolivia who died recently are selected at random and independently. The 300 individuals lived an average of 75.4 years with a standard deviation of 4.3 years. Assume that the population standard deviation of the life expectancy can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the life expectancy, μ1, in Argentina is not equal to the life expectancy, μ2, in Bolivia anymore? Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
The null hypothesis: H sub 0:
The alternative hypothesis: H sub 1:
The type of test statistic:
The value of the test statistic:
The two critical values at the 0.05 level of significance:
Can we support the claim that the life expectancy in Argentina is not equal to the life expectancy in Bolivia? Yes or No
Answer:
Step-by-step explanation:
Hello!
The historical data suggests that the life expectancy in Argentina is equal to the life expectancy in Bolivia.
With the objective of testing if that it hasn't changed, the records of recently deceased people from Argentina and Bolivia were selected at random:
Group 1: Argentina
X₁: Years of life of a recently deceased Argentinian.
n₁= 265
X[bar]₁= 74.8 years
S₁= 4.1 years
Group 2: Bolivia
X₂: Years of life of a recently deceased Bolivian.
n₂= 300
X[bar]₂= 75.4 years
S₂= 4.3 years
The parameters of interest are the population means of the years of life of people in both countries:
H₀: μ₁ = μ₂
H₁: μ₁ ≠ μ₂
α: 0.05
The statistic to use is an approximate standard deviation, and since both samples are quite large, it is valid to use the sample standard deviations in place of the population standard deviations:
[tex]Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S^2_1}{n_1} +\frac{S_2^2}{n_2} } }[/tex]≈N(0;1)
[tex]Z_{H_0}= \frac{(74.8-75.4)-(0)}{\sqrt{\frac{16.81}{265} +\frac{18.49}{300} } }= -2.54[/tex]
The critical values for this test are:
[tex]Z_{\alpha /2}= Z_{0.025}= -1.96[/tex]
[tex]Z_{1-\alpha /2}= Z_{0.0975}= 1.96[/tex]
Using the critical value approach, the decision rule is:
If [tex]Z_{H_0}[/tex] ≤ -1.96 or if [tex]Z_{H_0}[/tex] ≥ 1.96, reject the null hypothesis.
If -1.96 < [tex]Z_{H_0}[/tex] < 1.96, do not reject the null hypothesis.
[tex]Z_{H_0}[/tex] ≤ -1.96 so the decision is to reject the null hypothesis.
So with a 5% significance level, there is enough evidence to reject the null hypothesis, you can conclude that the life expectancy in Argentina is different from the life expectancy in Bolivia.
I hope this helps!
which statement describes the congruent triangles
Answer:
2 triangles
Step-by-step explanation:
2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent . The two triangle are said to be the mirror image of each other.
39,918.23 rounded to the nearest thousands is
Answer: 40,000
Step-by-step explanation:
Rounding 39,918.23 to the nearest thousands is 40,000.
The given decimal number is 39,918.23.
We need to round the given decimal to the nearest thousand.
How to round the decimal?We follow the given steps to round numbers to the nearest whole number:
Step 1- We look at the number we want to round.
Step 2- As we are rounding our number to the nearest whole, we mark the digit in the one’s place.
Step 3- Now we look at the ‘tenths’ place (the digit to the right of the decimal point).
Step 4- (i) If the digit in the tenths column is 0, 1, 2, 3 or 4, we will round down the number from one place to the nearest whole number.
(ii) If the digit in the tenths column is 5, 6, 7, 8 or 9, we will round up the number at the one’s place to the nearest whole number.
Step 5- Remove all the digits after the decimal point. The left-out number is the desired answer.
Now, in the given decimal, the number in the thousand places is 9, which is greater than 5, and then the number becomes 40,000.
Therefore, rounding 39,918.23 to the nearest thousands is 40,000.
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Choose the correct option
1: simplify this expression : 6 ( y + z )
a) 6z + y
b) 6yz
c) 6y + z
d) 6y + 6z
2: which equation shows the commutative property of multiplication ?
a) 9×5 = 5 ×9
b) 4×1 =4
c) 2×3 =2+2+2
d) 6×3 - 8× 3 = ( 6- 8) × 2
3: which property would you use to simplify the following expression
3 ( y + 5 )
a) distributive property
b) multiplication property of zero
c) commutative property
d) associative property
Answer:
1.d because you distribute the 6 to the y and then z so the equation would be 6y+6z
2.a because the commutative property says that no matter the order of the terms you will get the same product so 9x5 would be the same as 5x9
3.a because you distribute the 3 to the y and 5 so the simplifie dversion would be 3y+15
Hope this helps!
if georgia has 8 watermelons and ate 2, how many does she have now
Step-by-step explanation:
Now she has 6 watermelons.
Answer:
6 watermelons
Step-by-step explanation:
8-2=6 watermelons
if q is inversely proportional to r squared and q=30 when r=3, find r when q=1.2
Answer:
r = 3
Step-by-step explanation:
q = k / [tex]r^{2}[/tex]
k = q[tex]r^{2}[/tex] = 1.2 x 3 x 3 = 10.8
q = 10.8/[tex]r^{2}[/tex]
1.2 = 10.8/[tex]r^{2}[/tex]
r = [tex]\sqrt{10.8 /1.2}[/tex] = 3
As q is inversely proportional to r square the value of r is 1.66 when q is equal to 1.2
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant 'k' and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, q is inversely proportional to r square which is,
q ∝ 1/r².
q = k/r².
q = 30 when r = 3, From this we'll have the value of the constant of proportionality(k).
30 = k/9.
k = 30/9.
k = 10/3.
Now, q = 1.2 and k = 10/3.
Therefore,
1.2 = (10/3)/r².
r² = (10/3)×(1/1.2).
r² = 10/3.6.
r² = 2.77.
r = 1.66
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One integer is 9 more than another. Their product is 286. Find the integers.
Answer:
138.5 and 147.5
Step-by-step explanation:
Set the two integers as x and x+9
Since the two integers add up to 286, set up the equation:
x+(x+9)=286
2x+9=286
2x=277
x=138.5
x+9=147.5
Would a 51-foot ladder be long enough to climb a 50-foot wall? Sketch a graph and find your answer using a trigonometric ratio.
Answer: It is not long enough.
Step-by-step explanation:
Ok, we know that the "rule" for the distance between the base of the ladder and the wall is that, for each 4 ft that the ladder rises, we must have 1 foot between the base of the ladder and the wall.
then, for a 50 feet wall, the ladder must rise 50 ft, this means that the base of the ladder must be:
50ft/4 = 12.5 feet away from the wall.
Now, these two values can be thought as the cathetus of a triangle rectangle, and the ladder will be the hypotenuse, then we have (using Pythagoras theorem)
H = √(12.5ft^2 + 50ft^2) = 51.54 ft
So the theoretical safe value is bigger than the one we have, this means that the 51-foot ladder is not long enough.
Which statement best describes the polynomial?
-24x7 – 12x2 - 9x+6
Answer:
a. It is in standard form because the exponents are in order from highest to lowest.
Complete question:
a. It is in standard form because the exponents are in order from highest to lowest.
b. It is in standard form because the coefficients are in order from highest to lowest.
c. It is not in standard form because the constant should be the first term.
d. It is not in standard form because it can be further simplified.
Step-by-step explanation:
-24x^7-12x^2-9x+6
A polynomial is in standard form when the exponents are in order from highest to lowest. In the given expression , the exponent is in order x^7 and then x^2 and then x and constant.
Standard form does not depends on the coefficient of each each.
The given polynomial is in standard form because the exponent are in order from highest to lowest.
Answer:
A
Step-by-step explanation:
In snapdragons, variation in flower colori determined by a single gene (Hartl and Jones 2005). RR individuals are red, Rr (heterozy- gous) individuals are pink, and rr individuals are white. In a cross between heterozygous individuals, the expected ratio of red- flowered:pink-flowered:white-flowered off- spring is 1:2:1.
a. The results of such a cross were 10 red-, 21 pink-, and 9 white-flowered offspring. Do these results differ significantly (at a 5% level) from the expected frequencies?
b. In another, larger experiment, you count 100 times as many flowers as in the experiment in part (a) and get 1000 red, 2100 pink, and 900 white. Do these results differ significantly from the expected 1:2:1 ratio?
c. Do the proportions observed in the two experiments [i.e., in parts (a) and (b)] differ? Did the results of the two hypothesis tests differ? Why or why not?
Find the given attachments
An article in the Nov. 11, 2005, issue of the San Luis Obispo Tribune reported that researchers making random purchases at California Wal-Mart stores found scanners coming up with the wrong price 8.3% of the time. Suppose this was based on 200 purchases. The National Institute for Standard and Technology says that in the long run at most two out of every 100 items should have incorrectly scanned prices.
a. Develop a test procedure with a significance level of (approximately) .05, and then carry out the test to decide whether the NIST benchmark is not satisfied.
b. For the test procedure you employed in (a), what is the probability of deciding that the NIST benchmark has been satisfied when in fact the mistake rate is 5%?
Answer:
I don't knoooooooooooooooow
a cruise ship has a large , circular window. It has a diameter of 6 meters. What is the windows area?
Answer:
28.26
hop thats better the the first anser
What is the meaning of the simile
in the sentence below?
The kids smiled at the
camera like celebrities,
Answer:
smile mean laugh.
thank u
Find 6% of $3,020.
People please
Answer:
$181.20
Step-by-step explanation:
6% of $3,020 is $3,020. I don't really know how to explain it but yeah lol.
Answer:
Your answer is 181.2
Step-by-step explanation:
the number 3020 is 100% (because it's the output value of the task)
If 3020 is 100%, so we can write it down as 3020=100%.
We know, that x is 6% of the output value, so we can write it down as x=6%.
Now we have two simple equations:
3020=100%
x=6%
3020/x=100%/6%
Now we just have to solve the simple equation, and we will get the solution we are looking for.
3020/x=100/6
(3020/x)*x=(100/6)*x (we multiply both sides of the equation by x)
3020=16.666666666667*x (we divide both sides of the equation by) (16.666666666667) to get x
3020/16.666666666667=x
181.2=x
x=181.2
hope this helps
Give Brainliest if you please
Is there a positive of negative association between the population of Napa county and the year
Answer:
It's Positive
Step-by-step explanation:
What are the solutions of the equation x4 – 9x2 + 8 = 0? Use u substitution to solve. x = 1 and x = 2 StartRoot 2 EndRoot x = ±1 and x = plus-or-minus 2 StartRoot 2 EndRoot x = ±i and x = plus-or-minus 2 i StartRoot 2 EndRoot x = ±i and x = 2 StartRoot 2 EndRoot
Answer:
The solutions are
x = -1, 1, -2√2, and 2√2.
Step-by-step explanation:
Given the equation
x^4 - 9x² + 8 = 0
Let u = x², then the equation becomes
u² - 9u + 8 = 0
u² - u - 8u + 8 = 0
(u² - u) - (8u - 8u) = 0
u(u - 1) - 8(u - 1) = 0
(u - 8)(u - 1) = 0
u - 8 = 0
=> u = 8
Or
u - 1 = 0
=> u = 1
For u = 8
=> x² = 8
=> x = ±√8 = ±2√2
For u = 1
=> x² = 1
=> x = ±√1 = ± 1
Answer:
B
Step-by-step explanation:
Which function is a quadratic function
What are the first three terms of the sequence modeled by the recursive function An=1/2a n-1 , when a1=1?
Answer:
A on edge trust
Step-by-step explanation:
The first three term of the sequence are,
⇒ 1/2 , 1/4, 1/8
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The recursive function is,
⇒ [tex]A_{n} = \frac{1}{2} a_{n - 1}[/tex]
And, We have;
⇒ a₁ = 1
Now, The recursive function is,
⇒ [tex]A_{n} = \frac{1}{2} a_{n - 1}[/tex]
Put n = 2;
⇒ [tex]A_{2} = \frac{1}{2} a_{2 - 1}[/tex]
⇒ [tex]A_{2} = \frac{1}{2} a_{1}[/tex]
⇒ [tex]A_{2} = \frac{1}{2}\ * 1[/tex]
⇒ [tex]A_{2} = \frac{1}{2}[/tex]
Put n = 3;
⇒ [tex]A_{3} = \frac{1}{2} a_{3 - 1}[/tex]
⇒ [tex]A_{3} = \frac{1}{2} a_{2}[/tex]
⇒ [tex]A_{3} = \frac{1}{2}\ * \frac{1}{2}[/tex]
⇒ [tex]A_{3} = \frac{1}{4}[/tex]
Put n = 4;
⇒ [tex]A_{4} = \frac{1}{2} a_{4 - 1}\\[/tex]
⇒ [tex]A_{4} = \frac{1}{2} a_{3}[/tex]
⇒ [tex]A_{4} = \frac{1}{2}\ * \frac{1}{4}[/tex]
⇒ [tex]A_{4} = \frac{1}{8}[/tex]
Thus, The first three term of the sequence are,
⇒ 1/2 , 1/4, 1/8
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30 is 12.5% of what number?
Answer:
The number is 240
Step-by-step explanation:
Is means equals and of means multiply
30 = 12.5% * N
Change to decimal form
30 = .125 N
Divide each side by .125
30/.125 = .125N/.125
240 = N
Answer:
240
Step-by-step explanation:
30=.125x
solve
4. The ages of the volunteers at a local food
bank are shown below.
3425, 24, 50, 18. 46. 43, 36.32
What is the median of this set of data?
A 32
0 34
331
(D) 50
Answer:
The median is 43
Step-by-step explanation:
I dont know why your answers dont have any of them,cause with the numbers
3425, 24, 50, 18. 46. 43, 36.32
that makes your median is 43
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
(-5,4)
To get from B to A, the x value increases 5 and the y value increases 5, for every one unit increase in x, y also increases by 1. 1/5 of the way is 1/5 times 5 = 1. Just increase both x and y by 1 to get (-5, 4)
-6+1 = -5 = x and 3 + 1 = 4 = y (-5,4) is the point 1/5 of the way from B to A
Someone please help me with this! Is this a independent or dependent? Explain why.
Answer:
independent
Step-by-step explanation:
Dependent equations graph as the same line. These lines are not the same, so the equations are independent.
___
However, the lines are parallel, so the equations are also inconsistent. There is no solution to this system of equations.
Three-fourths of the animals at an animal shelter are dogs. One-sixth of the dogs are beagles. What fraction of the animals at the animal shelter are beagles?
Answer:
1/8 I think
Step-by-step explanation:
Write an expression for this problem Mr. Thomas Brings $100 to a fundraiser he wants to leave the event with at least $50 in his pocket guests at the fundriaser buy raffle tickets for several different prizes. each raffle ticket, t, costs $2.50. how many raffle tickets can mr thomas buy and still leave with at least 50 dollars in his pocket. DO NOT SOLVE. i only want the expression
Answer:
Step-by-step explanation:
Well Mr.Thomas has 50 dollars to spend so if you divide 2.50 from 50 you will get 20 so he can get 20 raffle tickets and still walk out with another 50 in his pocket.
Problem 5.
Joseph is told to dissolve a medicine he has to take in 1 pint 4 ounces of water. He has a
measuring cup marked in ounces. How many ounces of water should he pour?
Answer:
The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces
Step-by-step explanation:
He is told to dissolve a medicine he has in 1 pint 4 ounces of water . He has a measuring cup marked in ounces .This means he can only measure the water quantity in ounces.
He definitely have to convert the pints to ounces.
1 pint = 16 ounces
Recall he has to dissolve the medicine in 1 pint 4 ounces of water.
Since 1 pint is equals to 16 ounces therefore, 16 ounces + 4 ounces = 20 ounces.
The amount of water he should pour in ounces(that is the only units the cup measures) is 16 + 4 = 20 ounces