There are six sides to a die and only one side has a two, so the probability of rolling a 2 is 1/6.
There are two sides to a coin and only one side has a head, so the probability of its coming up heads is 1/2.
The two events (rolling a die and flipping a coin) are independent, so the probability of both events occurring is (1/6)(1/2) = 1/12
¿Cuál es el ángulo suplementario de 9º?
Answer:
171 degrees
Step-by-step explanation:
x + 9 = 180
x = 171
What is the pattern for 0, 1, 3, 7, 15, 31, 63
Answer:
every second number is got by multiplying it by two times of the number & adding it to previous number. For eg: the difference between 1 & 3 is 2. So the next number 7 is got by multiplying the diff with 2 & adding it to previous number, which is 3+2*2=7
Step-by-step explanation:
HOPE THIS HELPS!! PLEASE BRAINIESTTT
Answer:
All the numbers in the sequence was ×2 +1
multiplied by 2 and 1 was added.
Hope that helps
I’ll give points + brainalist for the correct answer (:
List 3 examples of chemical digestion
________
________
________
List 3 examples of mechanical digestion
________
________
________
Answer:
3 examples of mechanical digestion:
Mastication
Swallowing
Peristalsis
I need help with this question that in this picture
Answer:
What subject
Step-by-step explanation:
An article presents benzene conversions (in mole percent) for 24 different benzene hydroxylation reactions. The results are 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4 Can you conclude that the mean conversion is greater than 30? Compute the appropriate test statistic and find the P-value. The appropriate test statistic and the P-value are and , respectively. Round the test statistic to two decimal places and the P-value to four decimal places. We (Click to select) conclude that the mean conversion is greater than 30.]
Answer:
Test statistic = 3.21;
Pvalue = 0.0019;
Reject H0 and conclude that the mean conversion rate is greater than 30.
Step-by-step explanation:
Hypothesis :
NULL ; H0 : μ = 30
ALTERNATIVE ; H0 : μ > 30
Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4
Sample Mean, xbar = 43.71 (using calculator)
Sample standard deviation, s = 20.95 ( calculator)
Sample size, n = 24
Take, α = 0.05
Test statistic :
(xbar - μ) ÷ (s/√n)
(43.71 - 30) ÷ (20.95/√24)
13.71 / 4.2764008
Test statistic = 3.21
Degree of freedom, df = n - 1 = 24 - 1 = 23
The Pvalue, using a Pvalue calculator : (3.21, 23)
Pvalue = 0.001942
Pvalue = 0.0019 ( 4 decimal places).
Decison :
Reject H0 ; if Pvalue ≤ α
Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.
nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
what is variable ?A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable. There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines
given
Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.
-Variable: The expense of health care per year
400 clients were used as a sample in this study by the insurance business.
The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.
-Parameter: The annual average cost of health care for all customers of the insurance provider.
All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.
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13.A rectangle and a square have the same perimeter 120 cm. Find the side of the square. If the rectangle has a breadth 5cm less than that of the square. Find the breadth, length and area of the rectangle.
Answer:
Step-by-step explanation:
normal simple question and pls follow
Answer:
850
Step-by-step explanation:
Answer:
850
Step-by-step explanation:
34*100=3400
3400/4=850
Would be amazing if you marked this as brainliest
answer for brainliest no wrong answers please :)
9514 1404 393
Answer:
4%
Step-by-step explanation:
The amount of simple interest is given by ...
I = Prt . . . . . amount P invested at annual rate r for t years
This can be solved for r:
r = I/(Pt)
Using the given values, we find the rate to be ...
r = 16/(200·2) = 16/400 = 4/100 = 4%
The annual interest rate is 4%.
Alicia is solving the equation shown.
− 2( x + 1) + 10 = 4 − 2x
She wrote this as her first step.
x + 1 − 5 = − 2 + x
Which property justifies this first step?
A. additive identity property
B. addition property of equality
C. multiplicative property of zero
D. multiplication property of equality
Answer:
D.
Step-by-step explanation:
-2 is divided on both sides of the equation, which is the multiplication property of equality. you aren't adding anything/ multiplying anything by 0
Find all solutions of sin x - sqrt(1 - 3sin^2 x) = 0
sinx-✓(1-3sin2x)=0
-✓(1-3sin2x)=-sinx
apply squared both sides
(-✓(1-3sin2x)^2=(-sinx)^2
1-3sin2x=sin2x
collect like terms
-3sin2x-sin2x+1=0
-4sin2x+1=0
-4sin2x=-1
devide both sides by -4
sin2x=-1/-4
sin2x=0.25
sinx*sinx =0.25
[sinx]^2 = 0.25
apply square root both sides
✓(sinx)2 = ✓0.25sinx=0.5 x=sin^-(0.5)x=30°check quadrant where sin is positive, sin is +ve in second quandrant180-x= Theta(X)
180-30=X
X=150°
therefore, all angles for sinx -✓(1-3sin2x)=0 are (X= 30° and 150°)
Number 4 number 4 number 4 number 4
Answer:
D
Step-by-step explanation:
We know that the value of x is 120, so we can substitute it into the equation they gave you.
T(x) = 0.06x + 4.5
T(x) = 0.06(120) + 4.5
Now just solve.
0.06 × 120 = 7.2
7.2 + 4.5 = 11.7
So the tax on the room is $11.70
Which of the following is a
representation of 11!
Answer: B.
Step-by-step explanation:
why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
which expression is 6 groups of 4?
Answer:
6x4=24
Step-by-step explanation:
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged. Find a 95% confidence interval for the actual percentage of shoppers who were overcharged.
a. 5.7% to 18.3%
b. 8.85 to 15.15%
c. 7% to 17%
d. 9.5% to 14.5%
Answer:
8.04% to 15.96%
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Suppose that you take a random sample of 259 people leaving a grocery store over the course of a day and find that 12% of these people were overcharged.
This means that [tex]n = 259, \pi = 0.12[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.0804[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.96\sqrt{\frac{0.12*0.88}{259}} = 0.1596[/tex]
So 8.04% to 15.96%
I need the answer fast pls⇒
Answer:
530
Step-by-step explanation:
870-340 = 530
___________
Find the surface of the triangular prism
Answer:
Step-by-step explanation:
6²+8²=36+64=100=10²
so it is a right angled triangular prism.
surface area=2×(1/2 ×8×6)+(6+8+10)×7
=48+980
=1028 sq. m.
Answer:
225.32
Step-by-step explanation:
Hope this helped :)
Solve for the roots in the following equation. Hint: Factor both quadratic expressions.
(4+5x²-36)(2x²+9x-5) = 0
Using the provided quadratic expression and factorizing it, The answer is x = ± √6.4 or x = ± 2.51 and x = 1 or x = -2.5 .
What is a equation?An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.
What are roots of the equation?Roots of an equation are the values of the variable that make the equation true. For example, the roots of the equation x^2 + 2x - 3 = 0 are -1 and 3, because (-1)^2 + 2(-1) - 3 = 0 and 3^2 + 2(3) - 3 = 0. In general, finding the roots of an equation can be a difficult task and may require the use of mathematical techniques such as factoring, graphing, or numerical methods. Roots are also known as solutions or zeroes of an equation. They can be found by setting the equation equal to zero and solving for the variable.
(4+5x²-36) = 0 or (2x²+9x-5) = 0
Solving the first factor:
4+5x²-36 = 0
5x²-32 = 0
5x² = 32
x² = 6.4
x = ± √6.4
x = ± 2.51 or -2.51
Solving the second factor:
2x²+9x-5 = 0
x²+4.5x-2.5 = 0
(x-1)(x+2.5) = 0
x = 1 or x = -2.5
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Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead. If 50 vehicles enter this intersection from the east, use technology and the normal approximation to the binomial distribution to find the exact and approximate probabilities of the following. (Round your answers to four decimal places.)
a. 15 or fewer turn right.
b. at least two-thirds of those in the sample turn.
Answer:
a)
0.3632 = 36.32% approximate probability that 15 or fewer turn right.
0.369 = 36.9% exact probability that 15 or fewer turn right.
b)
0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.
0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Vehicles entering an intersection from the east are equally likely to turn left, turn right, or proceed straight ahead.
This means that [tex]p = \frac{1}{3}[/tex]
50 vehicles
This means that [tex]n = 50[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 50\frac{1}{3} = 16.67[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50\frac{1}{3}\frac{2}{3}} = 3.33[/tex]
a. 15 or fewer turn right.
Using continuity correction, this is [tex]P(X \leq 15 + 0.5) = P(X \leq 15.5)[/tex], which is the pvalue of Z when X = 15.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{15.5 - 16.67}{3.33}[/tex]
[tex]Z = -0.35[/tex]
[tex]Z = -0.35[/tex] has a pvalue of 0.3632
0.3632= 36.32% approximate probability that 15 or fewer turn right.
Using a binomial probability calculator, to find the exact probability, we get a 0.369 = 36.9% exact probability that 15 or fewer turn right.
b. at least two-thirds of those in the sample turn.
Turn either left or right, so:
[tex]p = \frac{1}{3} + \frac{1}{3} = \frac{2}{3}[/tex]
The standard deviation remains the same, while the mean will be:
[tex]\mu = E(X) = np = 50\frac{2}{3} = 33.33[/tex]
Two thirds of the sample is 33.33, so at least 34 turning, which, using continuity correction, is [tex]P(X \geq 34 - 0.5) = P(X \geq 33.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 33.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 33.33}{3.33}[/tex]
[tex]Z = 0.05[/tex]
[tex]Z = 0.05[/tex] has a pvalue of 0.5199
1 - 0.5199 = 0.4801
0.4801 = 48.01% approximate probability that at least two-thirds of those in the sample turn.
Using a binomial probability calculator, we find a 0.4868 = 48.68% exact probability that at least two-thirds of those in the sample turn.
-6x<21 on number line
Answer:
[tex]x > -3.5[/tex]
Step-by-step explanation:
Given
[tex]-6x < 21[/tex]
Required
Plot a number line
First, solve for x
[tex]-6x < 21[/tex]
Divide by -6
[tex]\frac{-6x}{-6} > \frac{21}{-6}[/tex]
[tex]x > -3.5[/tex]
See attachment for number line
Terryl invests $1500 in two mutual funds. In the first year, one fund grows 3.8% and the other grows 6%. Write a polynomial to represent the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate.
The polynomial that represents the value of Terryl’s investment after the first year if he invested x dollars in the fund with the lesser growth rate is;
p(x) = x(1 + 6/100)
g(x) = (1500 - x)(1 + 3.8/100)
How to find the compound interest?The compound interest is defined as a form of interest whereby the rate of interest is applied on the amount obtained after every given interval of time.
We are given that;
The total amount invested in the two mutual funds = $1500.
The growth rate of the first mutual fund = 6%.
The growth rate of the second mutual fund = 3.8%.
If the amount invested in the first mutual fund is x, then the amount invested in second mutual fund is 1500 - x.
The growth for both mutual funds can then be represented by;
First mutual fund; p(x) = x(1 + 6/100)
The second mutual fund; g(x) = (1500 - x)(1 + 3.8/100)
Thus, the polynomial expression for both the mutual funds are;
p(x) = x(1 + 6/100) and g(x) = (1500 - x)(1 + 3.8/100) respectively.
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Pls hurry by Friday! Whoever answers first will get points
Answer:
14 inches for every side
Step-by-step explanation:
44/4 = 22
circumfrence of half circle is 3.14r = 22
22/3.14 is about 7
the radius is half the side length so multiply 7 by 2 to get 14
mark brainliest please
We want to estimate the percentage of political figures who will make a social media
presence by posting an average of 1,000 posts per year next year. How many accounts
must we include in the sample next year, if we want our proportion estimate to be within
20 percentage points at a 90% level of confidence?
Answer:
0.0208
Step-by-step explanation:
Using the formula for calculating margin of error is expressed as;
M = z * √p(1-p)/n
z is the z score at 90 % interval
p is the proportion
n is the sample size
p = 0.2
n = 1000
z = 1.645
M = 1.645 * √0.2(1-0.2)/1000
M = 1.645 * √0.2(0.8)/1000
M = 1.645 * 0.01264
M = 0.0208
Hence the margin of error is 0.0208
for a sample size n = 24 and a population parameter of p = 0.4, a normal curve can be used to approximate the sampling distribution.
A. True
B. False
Answer:False
Step-by-step explanation:
Please help, I will mark you brainiest, thank you!!
Answer:
x = 20
Step-by-step explanation:
The small square at the vertex indicates a 90º angle
Therefor
x + (3x + 10) = 90
Combine like terms
4x + 10 = 90
Subtract 10 from both sides
4x = 80
Divide both sides by 4
x = 20
Complete the matrix that represents a reflection over the x-axis in the coordinate plane.
[ 1 a
b c ]
Answer:
bc
Step-by-step explanation:
Answer bc
Step-by-step explanation:
took test
Complete the following indirect proof (proof by contradiction).
Given: Adjacent angles LA and ZB, formed by the intersection of two lines
Prove: At least one of the angles LA and B has measure 90° or greater
First, we assume that this conclusion is false. In other words, we assume that the contrary statement "none of the two angles has measure [tex]90^{\circ}[/tex] or greater" is true.
The assumption is equivalent to the following two statements:
(1) [tex]m\angle A\text{ } \boxed{ < 90^{\circ}}[/tex]
(2) [tex]m\angle B\text{ } \boxed{ < 90^{\circ}}[/tex]
Using (1) and (2) and the addition properties of inequalities, we conclude that [tex]m\angle A+m\angle B \text{ } \boxed{ < } \text{ } 180^{\circ}[/tex].
On the other hand, two adjacent angles form a linear pair. Thus, the last statement contradicts the Linear Pair Property, which states that for a linear pair of angles [tex]\angle A[/tex] and [tex]\angle B[/tex], [tex]m\angle A+m\angle B \text{ } \boxed{=} \text{ } 180^{\circ}[/tex].
Therefore, the assumption made is false, and the statement "at least one of the angles [tex]\angle A[/tex] and [tex]\angle B[/tex] has measure [tex]90^{\circ}[/tex] or greater" is true.
Who is right and why are they right?
Find the area of the figure
Answer: ok so 3 times 3 twice then divide them by 2 and then 12 times 3 twice and then 3 times 6 im pretty sure and then you add them together
Step-by-step explanation: