Find f(-3) for f(x) = -2x + 5.
A. -1
B. 10
C. -10
D. 11
Answer:
[tex] \boxed{ \sf{ \bold{ \boxed{11}}}}[/tex]Option D is the correct option.
Step-by-step explanation:
Given,
[tex] \sf{f(x) = - 2x + 5}[/tex]
To find : f ( - 3 )
Let's find:
[tex] \sf{f( - 3) = - 2 \times ( - 3) + 5}[/tex]
Calculate the product
[tex] \sf{ = 6 + 5}[/tex]
Add the numbers
[tex] \sf{ = 11}[/tex]
Hope I helped!
Best regards!!
Answer: f(-3) = 11
Step-by-step explanation: Here we're given the function
f(x) = -2x + 5 and we're asked to find f(-3).
In other words, if we put an x into our function, we get a -2x + 5 out.
So what happens when we put a -3 into the function?
Well if we put a -3 into the function,
that's f(-3), we get a -2(-3) + 5 out.
Now all we have to do is simplify on the right side,
-2(-3) is 6, so we have 6 + 5 which is 11.
So f(-3) is 11.
The following table shows the number of snow days each school district in Mill County had last winter. School District District 200200200 District 211211211 District 221221221 District 231231231 District 241241241 Number of snow days 666 888 333 222 666 Find the mean absolute deviation (MAD) of the data set. snow days
Answer:
DIstrict 241 had 4 snow days.
Step-by-step explanation:
5 * 5 = 25
Add the ones you know
4 + 8 + 3 + 6 = 21
Then
25 - 21 = 4
So District 241 had 4 snow days.
I know this answer is 100% correct. I answered it correctly. This problem wasn't that hard. Let me know if you need help with anything else.
The number of snow days of District 241 are 4.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We have to find the number of snow days of District 241
School District District201 District211 District221 District231 District 241
Number of 4 8 3 6 ?
snow days
Mean of snow days is 5.
Mean =Sum of observations/Number of observations
5=4+8+3+6+x/5
25=21+x
Subtract 21 from both sides
x=4
Hence, the number of snow days of District 241 are 4.
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write (n^3)^2 without exponents
Answer:
(n×n×n)(n×n×n)
Step-by-step explanation:
Expand the exponential function.
hope this helps :)
The mean age of judges in Dallas is greater than 50.2 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
Answer:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)
Step-by-step explanation:
Given that:
The mean age of judges in Dallas is greater than 50.2 years.
If a hypothesis test is performed, then the null and the alternative hypothesis can be computed as follows:
The null hypothesis is that the mean age of the judges in Dallas is equal to 50.2
i.e
[tex]H_o : \mu =50.2[/tex]
The alternative hypothesis is that the mean age of the judges in Dallas is greater than 50.2
i.e
[tex]H_1 : \mu > 50.2[/tex]
Decision Rule: Fail to reject the null hypothesis.
The interpretation of this decision rule implies that:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)
The Bessel function or order zero of the first kind may be defined by. Find the radius of convergence of J0(x).
Answer:
Step-by-step explanation:
The Bessel function or order zero of the first kind may be defined by the solution - to Bessel's differential equation - which is a finite value at the origin X=0 for positive or negative whole numbers (integers) or positive alpha (α) values.
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
Answer:
There is no sufficient evidence to support the owner's claim that he average attendance at games is over 523
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 523[/tex]
Generally
The null hypothesis is [tex]H_o : \mu = 523[/tex]
The alternative hypothesis [tex]H_a : \mu > 523[/tex] ( Original claim )
Given in the question that the conclusion is failure to reject the null hypothesis
Then we can conclude that there is no sufficient evidence to support the owner's claim that he average attendance at games is over 523
Note : In every hypothesis test the null hypothesis must contain a equality sign and any other inequality sign
The equation for the line of best fit relating the weight of a child in kilograms y in relation to the child's age in years x. Which of the following
statements is true?y = 3x +3.25
O A The average weight in kilograms is 3 times the age.
OB. The average weight in kilograms is 3 times the height
O C. The average child is 3 years old.
D. The average child weighed 3.25 kg at birth.
Answer: D
Step-by-step explanation:
It is D because using the equation y=3x +3.25 you can see that the y intercept is 3.25 which means in zero years the child will weigh 3.25 or weighs 3.25 kg at birth.
Find the standardized test statistic, z to test the hypothesis that p1 = p2. Use α = 0.05. The sample statistics listed below are from independent samples. Sample statistics: n1 = 50, x1 = 35, and n2 = 60, x2 = 40
|0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.
Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.
To find the standardized test statistic (z) to test the hypothesis that p₁ = p₂, where p₁ and p₂ are the proportions of success in two independent samples, we can use the following formula:
z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))
where:
p₁ and p₂ are the sample proportions of success in the two samples.
p = (x₁ + x₂) / (n₁ + n₂) is the pooled proportion of success in both samples.
n₁ and n₂ are the sample sizes of the two samples.
x₁ and x₂ are the number of successes in the two samples.
Given the sample statistics:
n₁ = 50, x₁ = 35 (sample 1)
n₂= 60, x₂ = 40 (sample 2)
First, calculate the pooled proportion (p):
p = (x₁ + x₂) / (n₁ + n₂)
p = (35 + 40) / (50 + 60)
p = 75 / 110
p ≈ 0.6818
Now, calculate the standardized test statistic (z):
z = (p₁ - p₂) / √(p * (1 - p) * ((1/n₁) + (1/n₂)))
z = (35/50 - 40/60) / √(0.6818 * (1 - 0.6818) * ((1/50) + (1/60)))
z = (0.7 - 0.6667) / √(0.6818 * 0.3182 * (0.02 + 0.0167))
z = 0.0333 / √(0.1456 * 0.0367)
z = 0.0333 / √(0.00534272)
z = 0.0333 / 0.073068
z ≈ 0.4552
Now, compare the standardized test statistic (z) with the critical value at α = 0.05. Since this is a two-tailed test, the critical value is approximately ±1.96 (at a 5% significance level).
Since |0.4552| < 1.96, we fail to reject the null hypothesis that p₁ = p₂.
Therefore, at the 0.05 significance level, there is not enough evidence to conclude that the proportions of success in the two samples are significantly different.
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Angles W and X are supplementary. If m∠W is 37°, what is m∠X?
Supplementary angles = 180
X = 180 - 37
X = 143
The surface area of a sphere is 4πr^2 A sphere has a radius (r) that measures 3cm
Use π= 3.142 or 22/7 . Work out the surface area of the sphere to the nearest cm^2
Answer:
113cm²
Step-by-step explanation:
Area = 4 π r²
= 4 * 3.142 * 3²
= 113.112 cm²
(x-3) (x+9) need help asap
We will use the F.O.I.L method.
-multiplying the First terms,
-multiplying the Outer terms,
-multiplying the Inner terms,
-and multiplying the Last terms
So we have x² + 9x - 3x - 27 which simplifies to x² + 6x - 27.
he highest elevation in a country is a mountain, with an altitude of 14,309feet. The lowest elevation in the country is a valley, with an altitude of 288 feet below sea level.
Answer:
Diffrent between altitude = 14,021 ft
Step-by-step explanation:
Given:
Heighest altitude = 14,309 ft
Lowest altitude = 288 ft
Find:
Diffrent between altitude
Computation:
Diffrent between altitude = Heighest altitude - Lowest altitude
Diffrent between altitude = 14,309 - 288
Diffrent between altitude = 14,021 ft
What happens to the value of the expression 35 + kas k decreases?
Choose 1 answer:
A
It increases.
B
It decreases.
It stays the same.
Answer:
a i think
Step-by-step explanation:
Answer:
(B) It decreases
Step-by-step explanation:
I figured this out with basic logic, but we can use proof to find it out.
If we have [tex]35+k[/tex], we can assume that k is around 10.
So [tex]35+10=45[/tex].
Now let's decrease k by 1, making k=9.
[tex]35+9=44[/tex]
We can see that the value is decreasing, but let's try one more.
Let's make k=8.
[tex]35+8=43[/tex]
So we can see the general pattern here is that it's decreasing.
Hope this helped!
(20 points) A statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20: (a) Compute the p-value in order to test H0 : = 100 against H1 : 6= 100: (b) Compute the p-value in order to test H0 : = 100 against H1 : > 100:
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let [tex]\mu[/tex] = population mean.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we don't know about population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = [tex]\frac{98-100}{\frac{20}{\sqrt{400} } }[/tex] ~ [tex]t_3_9_9[/tex]
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P([tex]t_3_9_9[/tex] < -2) = 0.0234 {using the t-table}
Find the missing probability. P(A)=25,P(B|A)=920,P(A∩B)=?
Assuming you meant to say P(A) = 2/5 and P(B|A) = 9/20, then,
P(A∩B) = P(A)*P(B|A)
P(A∩B) = (2/5)*(9/20)
P(A∩B) = (2*9)/(5*20)
P(A∩B) = (2*9)/(5*2*10)
P(A∩B) = 9/(5*10)
P(A∩B) = 9/50 is the answerThe required probability P( A ∩ B ) = 2300.
To find the missing probability. P( A ) = 25, P( B | A ) = 920, P( A∩ B) = ?
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
From properties of probability
P( A ∩ B ) / P(A) = P( B | A )
P( A ∩ B) = P( B | A ) . P(A)
From given
P( A ) = 25, P( B | A ) = 920
P( A ∩ B ) = P( B | A ) . P(A)
P( A ∩ B ) = 920 . 25
P( A ∩ B ) = 2300
Thus, the required probability P( A ∩ B ) = 2300 for P( A ) = 25, P( B | A ) = 920.
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Someone, please help me with this.
Answer:
[tex]\large\boxed{x=14}[/tex]
Step-by-step explanation:
Because the angles are adjacent to each other and form a straight line, they are supplementary angles. Supplementary angles add up to 180 degrees, therefore, you can add the two angle measures together and set them equal to 180.
(7x - 1) + (6x - 1) = 180 combine like terms
13x - 2 = 180 add 2 to both sides
13x = 182 divide by 13 on both sides
[tex]\boxed{x=14}[/tex]
Answer:
x = 14°Step-by-step explanation:
Since the two angles lie on a straight line the sum of their angles is equal to 180°.
To find x add up the two angles and equate it to 180° and solve for x
That's
7x - 1 + 6x - 1 = 180
13x - 2 = 180°
Move 2 to the right side of the equation
That's
13x = 180 + 2
13x = 182
Divide both sides by 13
That's
[tex] \frac{13x}{13} = \frac{182}{13} [/tex]
We have the final answer as
x = 14°Hope this helps you
Quadrilateral QRST is similar to quadrilateral EDGF. What's the scale factor from EDGF to QRST
A) 5∕4
B) 6∕7
C) 6∕5
D) 5∕6
Answer:
C. [tex] \frac{6}{5} [/tex]
Step-by-step explanation:
The ratio of the corresponding sides of a polygon is said to be equal. The ratio gives us the scale factor.
Therefore, assuming that quadrilateral QRST was the original polygon that was scaled up to give a similar polygon, EDGF, the scale factor would be expressed as [tex] \frac{42}{35} [/tex]
The scale factor = [tex] \frac{42}{35} = \frac{6*7}{5*7} = \frac{6}{5} [/tex]
Jacob charges $10 per hour to babysit and $60 to clean the house. Write the expression which represents Jacob's earning for cleaning one house and babysitting?
Answer:
60 + 10h
Step-by-step explanation:
Since cleaning the house is a flat fixed cost ($60 no matter how long it takes), you dont use a variable to find it. For baby sitting on the other hand, the cost of it is reliant on how long you do it ($10 for every hours). Therefore you need to use a variable (h).
I hope this helps!
-TheBusinessMan
1. Brandon has $12. He will
eam $8 for every
hour he works. He would
like to have $52 at
the end of the day. Let h
represent the
number of hours
Brandon works.
Equation:
Solve it to find how many
hours he needs. Solve the problem, and also write the equation
Answer:
h=5
Step-by-step explanation:
h/8+12=52
12 dollars is what he originally starts with so it would be added with h.
Now, subtract 12 dollars from the 52 he wnats to end the day with.
52-12=40
Now take 40 and divide it 8
h=40/8
h=5
Hope that helps :)
Write two related division statements for : -6 x (-7) = 42
Answer:
42÷(-6). 42÷(-7).
Step-by-step explanation:
Is this what you want?
How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over, AND when you break the pennies into groups of 3, you have 1 penny left over, AND when you break the pennies into groups of 5, you have 1 penny left over?
Answer:
31 pennies
Step-by-step explanation:
Given that:
Breaking the number of pennies into 2 groups, there is 1 penny left over.
Breaking the pennies into 3 groups, there is 1 penny left over.
Breaking the pennies into 5 groups, there is 1 penny left over.
Breaking the pennies into groups implies that the same number of pennies are in each group for each case. Since there is no restriction to the number of pennies in the groups for all cases, then the total number of pennies would be 31.
So that;
31 = 15 + 15 + 1 = 2 groups + 1
31 = 10 + 10 + 10 + 1 = 3 groups + 1
31 = 6 + 6 + 6 + 6 + 6 + 1 = 5 groups + 1
There are 31 pennies.
if 270kg of corn would feed 42 horses for 21 days, for how many days would 36okg of it feed 21 horses?
Hi!
To find this, multiply 42, 21 and 360 first:
317520
Now, multiply 21 and 270:
5670
Now, divide 317520 by 5670:
56 days
(I've had problems like these before, this is how my teacher taught me to solve them. If you have any more trouble, try to use these steps!)
Hope this helps!
Can anyone help me find the value please?
Answer:
the answer is x=15 cm
Step-by-step explanation:
here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm
Now,
AC=BD
or, 3x-20 = x+10 [ diagonals of a rectangle are equal]
or, 2x = 30
or, x= 15 cm
I HOPE IT WILL HELP YOU!!!
You were riding your bike at 30 mph. Convert your rate to feet per minute.
Answer:
2640 feet per minute
Step-by-step explanation:
.
what is the difference between a repeating decimal and a terminating decimal
Step-by-step explanation:
Terminating decimals: these have a finite number of digits after the decimal point.
Example: 9.5
Recurring decimals: these have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.
Example: 0.333333...
Based on the information provided in the graph, for wich of the following situations could you expect to have the greatest increase in salary?
A.Having a highschool diploma and getting an associate's degree
B.Having a bachelor's degree and getting a master's degree
C.Having a master's degree and getting a professional degree
D.Having an associate's degree and getting a bachelor's degree
Answer: your answer is D
Step-by-step explanation:
1 point
Jayden is making a chain from construction paper from red and green paper links. The
pattern of the links is red, red, green, green, green. If there are 30 links all together, how
many are red and green?
Hershey’s bar were purchased at $6 per dozen and sold at 1.25 each. find the profit on 14 dozen Hershey’s bar.
Answer:
$126.00
Step-by-step explanation:
The Hershey bars were purchased for $6 per dozen. There are 12 bars per dozen. First, find the cost per bar.
cost / bar
$6 / 12 bars
$0.50 / bar
Next, find the profit on one bar. The bars costs $0.50 each and are being sold for $1.25. The profit will be the difference between the two numbers.
$1.25 - $0.50
$0.75
Finally, find the profit on 14 dozen bars.
There are 168 bars in 14 dozen. ( 12 per dozen, 14 dozen, 12*14= 168).
Multiply the profit of one bar ($0.75) by 168.
168 *$ 0.75
$126
The profit on 14 dozen Hershey bars is $126.00
What is the answer of this question I don’t know what it is
5. John and Mary are taking a math course. The course has only 3 grades: A, B, and C. The probability that John gets a B is 0.3 .The probability that Mary gets a B is 0.4 . The probability that neither gets an A but at least one gets a B is 0.1 .What is the probability that at least one gets a B but neither gets a C
Answer:
0.6
Step-by-step explanation:
In the question, we are told that:
The probability that John gets a B is 0.3 .
The probability that Mary gets a B is 0.4 .
The probability that neither gets an A but at least one gets a B is 0.1
The probability that at least one gets a B but neither gets a C
=( The probability that John gets a B ) +( The probability that Mary gets a B )- (The probability that neither gets an A but at least one gets a B is 0.1
= 0.3 + 0.4 - 0.1
= 0.7 - 0.1
= 0.6
Therefore, the probability that at least one gets a B but neither gets a C is 0.6