Answer:
[tex]\frac{(x + 1)}{(x + 3)}[/tex]
Step-by-step explanation:
If you ignore the 7x for the moment, you can see that the numerator can be factored into (x-5)(x+1), and the denominator can factored into (x-5)(x+3).
The (x+5)s can cancel out, so you are left with [tex]\frac{(x+1)}{(x+3)}[/tex] times [tex]\frac{7x}{7x}[/tex]. Since 7x/7x is just equal to 1, our final answer is (x+1)/(x+3).
Hope this helped! :)
3(12−5)+(8x8)-45? Answer?
Answer:
its 40
Step-by-step explanation:
i think
Joe earns $750 each week working his full time job. His employer has a
9.75% tax deduction on all monies earned each week.
Answer:
After tax deduction he makes $676.875 a week
Step-by-step explanation:
9.75% of 750 is 71.125
750-71.125 is 676.875
The body mass index (BMI) of an individual is a measure used to judge whether or not an individual is overweight. A BMI between 20 and 25 indicated a normal weight. In a survey of 750 men and 750 women, the Gallup organization found that 203 men and 270 women were normal weight. Construct a 95% confidence interval for the difference in proportion of men and women who are normal weight.
Given Information:
Number of Men having normal weight = 203
Number of Women having normal weight = 270
Sample size of Men = 750
Sample size of Women = 750
Confidence level = 95%
Required Information:
Difference in the proportion of normal weighted Men and Women = ?
Answer:
We are 95% confident that the difference in the proportion of Men and Women who are normal weight is between (0.044, 0.136)
Step-by-step explanation:
The proportion of Men who are normal weight is given by
p₁ = 203/750
p₁ = 0.27
The proportion of Women who are normal weight is given by
p₂ = 270/750
p₂ = 0.36
The difference in the proportion of normal weighted Men and Women is given by
[tex](p_2- p_1) \pm z\cdot \sqrt{\frac{p_1(1-p_1)}{n_1} + \frac{p_2(1-p_2)}{n_2}}[/tex]
Where p₁ and p₂ are the proportion of Men and Women who are normal weighted.
n₁ and n₂ are the sample size of Men and Women.
z is the value of z-score corresponding to 95% confidence level and is given by
[tex]z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96[/tex]
So we have z-score of 1.96 corresponding to confidence level of 95%
So the above equation becomes
[tex](p_2- p_1) \pm z\cdot \sqrt{\frac{p_1(1-p_1)}{n_1} + \frac{p_2(1-p_2)}{n_2}}\\\\(0.36- 0.27) \pm 1.96\cdot \sqrt{\frac{0.27(1-0.27)}{750} + \frac{0.36(1-0.36)}{750}}\\\\0.09\pm 1.96\cdot (0.0238) \\\\0.09\pm 0.046 \\\\Lower \: limit = 0.09 - 0.046 = 0.044\\\\Upper \: limit = 0.09 + 0.046 = 0.136\\\\(0.044, \: 0.136)[/tex]
Therefore, we are 95% confident that the difference in the proportion of Men and Women who are normal weight is between (0.044, 0.136)
How to find the value of z-score?
In the z-table find the probability of 0.025 and note down the value of that row it would be 1.9 and the value of column would be 0.06, therefore, the z-score is 1.9+0.06 = 1.96
Convert the angle \theta=260^\circθ=260
∘
theta, equals, 260, degrees to radians.
Express your answer exactly.
\theta=θ=theta, equals
radians
Question:
Convert the angle θ=260° to radians.
Express your answer exactly.
θ = ___ radians
Answer:
260° = 13π/9 or 4.54 rad
Step-by-step explanation:
Given
θ=260°
Required
Convert from degree to radians
To convert an angle in degrees to radians, we simply follow the steps below.
1° = 1 * π/180 rad
Replace the 1° with x
So,
x° = x * π/180 rad.
Now, we assume that x = 260
This means that we substitute 260 for x. This gives
260° = 260 * π/180
260° = 260π/180
Divide numerator and denominator by 20
260° = 13π/9
We can leave the answer in this form or solve further.
Take π as 22/7. This gives
260° = 13/9 * 22/7
260° = 286/63
260° = 4.5396825397
260° = 4.54 rad (Approximated)
The value of an angle 260 degree into radians is,
⇒ 260 degree = 13π/9 radians
WE have to given that,
To convert an angle 260 degree into radians.
Now, WE know that;
1 degree = π/180 radians
Hence, We can convert an angle 260 degree into radians as,
1 degree = π/180 radians
260 degree = 260 x π/180 radians
260 degree = 13π/9 radians
Thus, WE get;
260 degree = 13π/9 radians
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6
An ordinary fair dice is thrown once.
(a) On the probability scale mark with a cross (X) the probability ti
the dice lands on an even number.
1
2
(b) Write down the probability that the dice lands on a number les
than 3.
Answer:
(a) 1/2(b) 1/3Step-by-step explanation:
(a) 3 of the 6 numbers on the die are even, so the probability that one of them will show is 3/6 = 1/2.
__
(b) 2 of the 6 numbers on the die are less than 3, so the probability that one of them will show is 2/6 = 1/3.
Cuantas bases tiene un prisma
Answer:
Depende del tipo de prisma del que estés hablando.
Step-by-step explanation:
Un el prisma rectangular tiene 6 bases y un prisma triangular tiene 5 bases. Un prisma triangular sólo tiene dos bases.
Equations
What is the solution of the system of linear equations?
-3x + 4y = -18
2x - y = 7
(-2,-3)
(-2,3)
(2, -3)
(2, 3)
Answer:
Step-by-step explanation:
-3x + 4y = -18
8x - 4y = 28
5x = 10
x = 2
4 - y = 7
-y = 3
y = -3
(2, -3)
The solution of the system of linear equations given is (2,-3), the correct option is C.
What is System of Linear Equation?The system of linear equation is set of equations which have a common solution.
The equations are
-3x+4y = -18
2x-y =7
The linear equations can be solved using substitution method
y = 2x -7 from equation 2 will be substituted in equation 1
-3x +4 ( 2x -7) = -18
-3x +8x -28 = -18
5x = 10
x = 2
y = 2 * 2 -7 = -3
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Brittany Monroe is a legal secretary. Her biweekly salary is $1,650.00 what is her annual salary?
Answer:
$42,900 a year
Step-by-step explanation:
so there are 26 bi-weeks in a year. (fun fact)
you take $1,650 and multiply that biweekly to get her annual salary.
1650*26=42,900
what is the degree of x^4-3x+22
Answer:
4
Step-by-step explanation:
The degree is the highest power on the exponent when they are lined up from highest to lowest
The degree is 4
what is the best college to go to?
Answer:
The the best college to go to is the one where you feel comfortable.
Step-by-step explanation:
It is so important to understand the sence of what is actually "the best" college to go to.
You can look at that from a viriety of perspectives, and it is debatable to just go for the college which holds the highest rank on some site.
There are a lot of factors to consider, and what is generally considered the best college does not necassarilly the right one for you.
Ask your loved ones for advice and if you can take a look at yourvtop thee collages.
The the best college to go to is the one where you feel comfortable.
Let T: R^3 --> R^3 be a linear transformation. Let {v1, v2, v3} be a set of linearly dependent vectors in R^3. Show that the set {T(v1), T(v2), T(v3)} is also linearly dependent.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image below to see the step by step explanation to the question above.
Find the mode of the following numbers.
21, 7, 19, 21, 60, 21, 19
Answer:
The mode is 21.
Step-by-step explanation:
Mode is a number than appears most frequently in a set of numbers.
Answer:
[tex]21[/tex]
Step-by-step explanation:
The Most frequently number that appears in a set of numbers is called as mode.
21 , 7 , 19 , 21 , 60 , 21 , 19
Now here we can clearly see that 21 is the most frequent number that appears in the text.
hope this helps
brainliest appreciated
good luck! have a nice day!
Factor x2 – 8x + 15.
Which pair of numbers has a product of ac and a sum of b?
Answer:
(x - 5)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} - 8x + 15 \\ = {x}^{2} - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8[/tex]
A fraction that is equivalent to 6/-5?
Answer:
12/-10
Step-by-step explanation:
Any multiple of a fraction is the equivalent of the original fraction, the only difference is that it wont be fully simplified. If we multiply the original fraction (6/-5) by 2, both the numerator and denominator, you will get 12/-10.
Answer:
12/-10
Step-by-step explanation:
6/-5
6×2= 12
-5×2=-10
12/-10
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
A. p + q = b
D. p · q = c
Step-by-step explanation:
It's best to look at an example, such as this:
[tex]x^2 - 12x + 35[/tex]
And it's factored form is:
(x - 5) (x - 7)
As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).
Answer:
A and D
Step-by-step explanation:
STOP REPORTING MY ANSWER!!
Kono Dio Da!!!
a clock chimes once at 1, twice at 2
Answer:
3 times at 3
Step-by-step explanation:
Classify this triangle.
Acute scalene triangle
Obtuse isosceles triangle
Right isosceles triangle
Right scalene triangle
Answer: right isosceles
Step-by-step explanation:
the angle at the bottom is right therefore you need to figure out the lengths of the sides to conclude if it is isosceles or scalene. because two of the sides are the same length and the other is not it is isosceles
256 divided by -16 with steps.
Answer:
256÷-16=16
Step-by-step explanation:
The complete expression is 256 divided by -16 is -16
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
256 divided by -16 = what
When represented as an equation, we have
Result = 256 divided by -16
Make the result the subject of the formula
So, we have
Result = 256/-16
Rewrite as
Result = -256/16
Evaluate the quotient
Result = -16
Hence, the number is -16
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What is the volume of this cube with a side length of 6 centimeters
6 cm
Answer:
V = 216 cm^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = (6)^3
V = 216 cm^3
Answer:216 cm^3
Step-by-step explanation:
In cube, the length of all sides are equal
length of side=6cm
Volume of cube=length x length x length
Volume of cube=6 x 6 x 6
Volume of cube=216
Volume of cube=216 cm^3
Employees that work at a fish store must measure the level of nitrites in the water each day. Nitrite levels should remain lower than 5 ppm as to not harm the fish. The nitrite level varies according to a distribution that is approximately normal with a mean of 3 ppm. The probability that the nitrite level is less than 2 ppm is 0.0918.
1. Which of the following is closest to the probability that on a randomly selected day the nitrite level will be at least 5 ppm?
(A) 0.0039
(B) 0.0266
(C) 0.0918
(D) 0.7519
(E) 0.9961
Answer: .0039
Step-by-step explanation:
Work out the size of x
Answer:13°
Step-by-step explanation:
a + b + x=180 sum of angles in a =180°
85° is alternate to a
Therefore a=85°
98° and b are supplementary angles
98+b=180
b=180-98
b=82°
Recall that
a + b + x=180
85+82+x=180
167 + x=180
Collect like terms
x=180-167
x=13°
Which fraction is in simplest form 4/20 6/9 5/13 14/21
Answer: 5/13
Step-by-step explanation:
Answer:
5/13 is in simplest form, because it cannot be reduced any further.
Step-by-step explanation: 4/20 can be reduced to 1/5, 6/9 to 1/3, and 14/21 can be reduced to 2/3
What is the solution of | x + 5 | > 7
Step-by-step explanation:
inequality form would be x<-12 or >2
I hope this helps
Answer:
2
Step-by-step explanation:
(x+5)>7
x+5>7
x>7-5
x>2
A local retailer claims that the mean waiting time is less than 8 minutes. A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes. At α = 0.01, test the retailer's claim. Assume the distribution is normally distributed. Round the test statistic to the nearest thousandth.
Answer:
The claim is not true
Step-by-step explanation:
We are given that A local retailer claims that the mean waiting time is less than 8 minutes.
[tex]H_0:\mu=8[/tex]
[tex]H_a:\mu<8[/tex]
A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes.
[tex]\bar{x}=6.3[/tex]
s = 2.1
n = 20
Since n <30 and population standard deviation is unknown
So,we will use t test
So,[tex]t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t=\frac{6.3-8}{\frac{2.1}{\sqrt{20}}}[/tex]
t=-3.62
α = 0.01
Degree of freedom = df=n-1=20-1=19
[tex]t_{df,\frac{\alpha}{2}}=t_{19,\frac{0.01}{2}}=2.861[/tex]
t calculated < t critical
So, we failed to reject null hypothesis
Hence the claim is not true
Please help ASAP! Will give BRAINLIEST! Please read the questionTHEN answer correctly! No guessing.
Answer:D
Step-by-step explanation:
(4/5)^0
4^0/5^0=1/1=1
Two samples each of size 20 are taken from independent populations assumed to be normally distributed with equal variances. The first sample has a mean of 43.5 and standard deviation of 4.1 while the second sample has a mean of 40.1 and standard deviation of 3.2. A researcher would like to test if there is a difference between the population means at the 0.05 significance level. What can the researcher conclude?
Answer:
[tex]t=\frac{(43.5 -40.1)-(0)}{3.678\sqrt{\frac{1}{20}+\frac{1}{20}}}=2.923[/tex]
The degrees of freedom are
[tex]df=20+20-2=38[/tex]
And the p value is given by:
[tex]p_v =2*P(t_{38}>2.923) =0.0058[/tex]
Since the p value for this cae is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Step-by-step explanation:
When we have two independent samples from two normal distributions with equal variances we are assuming that
[tex]\sigma^2_1 =\sigma^2_2 =\sigma^2[/tex]
And the statistic is given by this formula:
[tex]t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}[/tex]
Where t follows a t distribution with [tex]n_1+n_2 -2[/tex] degrees of freedom and the pooled variance [tex]S^2_p[/tex] is given by this formula:
[tex]S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}[/tex]
The system of hypothesis on this case are:
Null hypothesis: [tex]\mu_1 = \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 \neq \mu_2[/tex]
We have the following data given:
[tex]n_1 =20[/tex] represent the sample size for group 1
[tex]n_2 =20[/tex] represent the sample size for group 2
[tex]\bar X_1 =43.5[/tex] represent the sample mean for the group 1
[tex]\bar X_2 =40.1[/tex] represent the sample mean for the group 2
[tex]s_1=4.1[/tex] represent the sample standard deviation for group 1
[tex]s_2=3.2[/tex] represent the sample standard deviation for group 2
First we can begin finding the pooled variance:
[tex]\S^2_p =\frac{(20-1)(4.1)^2 +(20 -1)(3.2)^2}{20 +20 -2}=13.525[/tex]
And the deviation would be just the square root of the variance:
[tex]S_p=3.678[/tex]
The statistic is givne by:
[tex]t=\frac{(43.5 -40.1)-(0)}{3.678\sqrt{\frac{1}{20}+\frac{1}{20}}}=2.923[/tex]
The degrees of freedom are
[tex]df=20+20-2=38[/tex]
And the p value is given by:
[tex]p_v =2*P(t_{38}>2.923) =0.0058[/tex]
Since the p value for this cae is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different
Using the t-distribution, as we have the standard deviation for the sample, it is found that the researcher can conclude that there is a difference between the population means at the 0.05 significance level.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is:
[tex]H_a: \mu_1 - \mu_2 \neq 0[/tex]
What is the mean and the standard error of the distribution of differences?For each sample, we have that they are given by
[tex]\mu_1 = 43.5, s_1 = \frac{4.1}{\sqrt{20}} = 0.9168[/tex]
[tex]\mu_2 = 40.2, s_2 = \frac{3.2}{\sqrt{20}} = 0.7155[/tex]
Hence, for the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 43.5 - 40.2 = 3.3[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.9168^2 + 0.7155^2} = 1.163[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis, hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{3.3 - 0}{1.163}[/tex]
[tex]t = 2.84[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05 and 20 + 20 - 2 = 38 df, the critical value is of [tex]|z^{\ast}| = 2.0244[/tex].
Since the absolute value of the test statistic is greater than the critical value, it is found that the researcher can conclude that there is a difference between the population means at the 0.05 significance level.
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"Only one remains." Ryan signals to his brother from his hiding place.
Matt nods in acknowledgement, spotting the last evil robot.
"34 degrees." Matt signals back, informing Ryan of the angle he observed between Ryan and the robot.
Col
Ryan records this value on his diagram (shown below) and performs a calculation. Calibrating his laser cannon to
the correct distance, he stands, aims, and fires.
To what distance did Ryan calibrate his laser cannon?
Do not round during your calculations. Round your final answer to the nearest meter.
Pro
m
Pro
Ryan
Tea
146 m
120°
Matt
34
Answer:
186m
Step-by-step explanation:
How to factor this trinomial(a=1)?
Answer:
The answer is (x+8)(x-3) .
Step-by-step explanation:
First, you have to elaborate out :
[tex] {x}^{2} + 5x - 24[/tex]
[tex] = {x}^{2} - 3x + 8x - 24[/tex]
Next, you can factor out the like terms :
[tex] {x}^{2} - 3x + 8x - 24[/tex]
[tex] = x(x - 3) + 8(x - 3)[/tex]
[tex] = (x - 3)(x + 8)[/tex]
Answer:(x-3)(x+8)
Step-by-step explanation:
x^2+5x-24
We first find two numbers whose product is -24 and whose sum is 5,the two numbers are 8 and -3,we then removed +5x from the equation and replace it with +8x-3x
x^2+8x-3x-24
We factorise
x(x+8)-3(x+8)
We factorise the like terms which is (x+8)
(x-3)(x+8)
What is the slope of a line that is parallel to the line
represented by the equation y- 4x = 1?
Answer:
m=4
Step-by-step explanation:
First get the equation in slope intercept form
y -4x =1
Add 4x to each side
y - 4x+4x = 4x+1
y = 4x+1
This is in the form
y = mx+b where m is the slope and b is the y intercept
The slope is 4
Parallel lines have the same slope
m =4
i don't really understand this yet, could someone please help?
Answer:
maybe show me a picture of what u want me to help u with and then Ill answer it