Hey!!
Here's your answer:
prime numbers which are factors of 30 are:
1,2,3 and 5
Hope it helps
Answer:
1, 2, 3, 5
sorry for the confusion i didn't read it correctly
A third grade class has 16 girls and 15 boys a fourth grade class has 18 boys and 15 girls when picking for PE captains will make one selection from the fourth grade class and one selection from the third grade class before the other team pics assuming everyone has an equally like lee chance of being selected what is the probability that the first captain will choose two boys on the first pick
Answer:
[tex]\dfrac{90}{341}[/tex]
Step-by-step explanation:
3rd grade:
Number of girls = 16
Number of boys = 15
Total number of students = 31
4th grade:
Number of girls = 15
Number of boys = 18
Total number of students = 33
Formula for probability of an event E can be observed as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Probability of picking a boy from 3rd grade, [tex]P_{1} = \dfrac{15}{31} ..... (1)[/tex]
Probability of picking a boy from 4th grade, [tex]P_{2} = \dfrac{18}{33} ..... (2)[/tex]
These are two independent events of picking a boy from 3rd grade and 4th grade.
So, probability the captain chooses 2 boys in the first pick can be found by multiplying (1) and (2) above.
[tex]P = P_{1} \times P_{2}\\\Rightarrow \dfrac{15}{31} \times \dfrac{18}{33}\\\Rightarrow \dfrac{90}{341}[/tex]
Answer:
a
Step-by-step explanation:
A 2-kilogram bag of sugar costs $5.09. What is the unit price, rounded to the nearest cent?
Answer:
$2.55 per kilogram bag of sugar.
Step-by-step explanation:
To calculate the cost of only 1 bag of sugar, you would take what you know - 2 kilograms costs $5.09 - and use that to determine your answer.
Since you know how much 2 bags costs, and you need to know the cost of 1, you would divide the cost of 2 bags of sugar by 2. (5.09 ÷ 2)
That equals 2.545, but since the problem is asking you to round to the nearest cent, you would end up with -------> $2.55
Hope this helps!
stay safe
Choose the correct simplification of the expression (4x3y2z4)(2x3y4z3)
Answer:
[tex]=8x^6y^6z^7[/tex]
Step-by-step explanation:
[tex](4x^3*y^2*z^4)(2x^3*y^4*z^3)\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\:a^c=a^{b+c}\\=4y^2z^4\cdot \:2x^{3+3}y^4z^3\\\mathrm{Add\:the\:numbers:}\:3+3=6\\=4y^2z^4\cdot \:2x^6y^4z^3\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\y^2y^4=\:y^{2+4}\\=4z^4\cdot \:2x^6y^{2+4}z^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\z^4z^3=\:z^{4+3}\\=4\cdot \:2x^6y^6z^{4+3}\\\mathrm{Add\:the\:numbers:}\:4+3=7\\=4\cdot \:2x^6y^6z^7\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8x^6y^6z^7[/tex]
The owner of a 5000-gal oil truck loads the truck with gasoline and kerosene. The profit on each gallon of gasoline is 16¢ and on each gallon of kerosene it is 15¢. How many gallons of each fuel did the owner load if the profit was $780?
Answer:
3000 gallons of gasoline and 2000 gallons of kerosene
Step-by-step explanation:
The first thing is that 16 ¢ and 15 ¢ are 16 and 15 cents, therefore we can express it as $ 0.16 and $ 0.15 respectively.
Now, we can solve by means of a 2x2 system of equations, we have to:
"x" is the number of gallons of gasoline
"y" be the number of gallons of kerosene
x + y = 5000 => x = 5000 - y
0.16 * x + 0.15 * y = 780
replacing
0.16 * (5000 - y) + 0.15 * y = 780
800 - 0.16 * y + 0.15 * y = 780
-0.01 * y = 780 - 800
y = -20 / -0.01
y = 2000
Therefore x:
x = 5000 - 2000
x = 3000
which means 3000 gallons of gasoline and 2000 gallons of kerosene
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:
What’s the correct answer for this?
Answer:
(0,2)
Step-by-step explanation:
2:4 means one part is 2/(2+4)=1/3 of AB and the other part is 2/3 of AB
Add 1/3 of the distance from -2 to 4. (1/3)(4+2)=2. -2+2=0 The x coordinate is 0
Subtract 1/3 of the distance from 6 to -6, (1/3)6+6)=4 6-4=2 The y coordinate is 2
The point is (0,2)
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%
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
») 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!
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
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
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.
In 25 years, a bond with a 4.75% annual interest rate earned $2,375 as interest. What was the principal amount of the bond?
Answer:
Denote the principal amount: P
In 25 years, a bond with a 4.75% annual interest rate earned $2,375 as interest.
=> P x (1 + 4.75/100)^25 - P = 2375
=> P x 3.19 - P = 2375
=> P x 2.19 = 2375
=> P = 2375/2.19 = 1084.48$
Hope this helps!
:)
Answer:$2000
Step-by-step explanation:
Solve 9x2 + 6 = 12x
Answer:
9x^2 - 12x + 6 =0
work is pictured and shown
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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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]
The original price, p, of a pair of shoes was discounted by 20% and a sales tax of 8% was applied to the sales price. Which expression is equivalent to the new price?
Answer:
0.864p
Step-by-step explanation:
A discount of 20% is (1 - .2) = .8
8% tax is 1.08
.8 * 1.08 = 0.864
That means the new price is 0.864p
What’s the correct answer for this?
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The centre coordinates would be the opposite value of what is in the brackets
For example, the x value in the brackets is -3, the centre coordinate x value would be positive 3
The same would apply to the y value
The radius would be the square root of 36
Thus, your answer would be option A
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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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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v=1/6√π S 3/2 find V when s=60m'2 π=3.14
Answer:
137.26 m^3
Step-by-step explanation:
Put the numbers into the formula and do the arithmetic.
v = (1/6)(√3.14)(60 m^2)^(3/2) = 137.26 m^3
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
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.
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!
12 is 1/3 of what number
Answer:
The number is 36.
Step-by-step explanation:
Given that 1/3 of a number is 12. So let's make this number into any variable, I will choose x which means that 1/3 of x is equals to 12. Next we have to write an expression :
[tex] \frac{1}{3} \times x = 12[/tex]
In order to solve x, you have to multiply 3 to both sides :
[tex] \frac{1}{3} \times x \times 3 = 12 \times 6[/tex]
[tex]x = 36[/tex]
To find out what number 12 is one-third of, we can set up an equation. Let's assume the unknown number is represented by "x".
According to the given statement, we can write the equation as: 12 = (1/3)x To solve for x, we need to isolate it on one side of the equation.
We can do this by multiplying both sides of the equation by 3, canceling out the fraction: 3 * 12 = (1/3)x * 3 36 = x Therefore, 12 is one-third of 36. In other words, if we take one-third of 36, it will equal 12.
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Which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping?
Step-by-step explanation:
One way
x3 + 11x2 - 3x - 33
x2(x + 11) - 3(x + 11)
(x + 11) (x2 - 3) are the factors
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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which number is located between 1.2 and 1.4
Answer: 1.3
Step-by-step explanation: Ok, let's make a number line...
0.9, 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6
From the number line, the only number that fits is 1.3
I hope this helps!
Answer:
1.3
Step-by-step explanation:
Hope this helps have a wonderful day
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
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: