A negative slope can be illustrated when a line that is trending downward from left to right, has a negative value.
What is a negative slopeIt should be noted that a negative slope implies that two variables are negatively related.
This implies that when x increases, y decreases, and also when x decreases, y increases.
Graphically, a negative slope implies that as the line on the line graph moves from left to right, the line will fall.
Learn more about slope on:
https://brainly.com/question/3493733
#SPJ1
An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state insurance commission to investigate. In a sample of 250 life insurance claims, 203 were settled within 30 days.
a. Test whether the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%, at the 5% level of significance.
Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:
[tex]H_0: p \geq 0.85[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:
[tex]H_0: p < 0.85[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are:
[tex]p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812[/tex]
Hence the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}[/tex]
z = -1.68
What is the p-value and the conclusionUsing a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.
Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.
More can be learned about the z-distribution at https://brainly.com/question/16313918
#SPJ1
Which of these tables represent a function
Answer: W
Step-by-step explanation: I remember learning this in school> you can tell it’s a function because no numbers repeat themselves etc .
On a baseball
field, the
pitcher's
mound is 60.5
feet from home
plate. During
practice, a
batter hits a ball
226 feet at an
angle of 39° to
the right of the
pitcher's
mound. An
outfielder
catches the ball
and throws it to
the pitcher.
Approximately
how far does
the outfielder
throw the ball?
outfielder
batter
A. 147.2 ft
B. 172.1 ft
C. 183.0 ft
D. 162.8 ft
Based on the distance of the pitcher's mound from the home plate, the path of the ball, and the height the ball was hit, the distance the outfielder threw the ball is C. 183.0 ft.
How far did the outfielder throw the ball?Based on the shape of a mound, the law of cosines can be used.
The distance the ball was thrown by the outfielder can therefore be d.
Distance is:
d² = 60.5² + 226² - (2 x 60.5 x 226 x Cos(39))
d ²= 33,484.42ft
Then find the square root:
d = √33,484.42
= 182.9874
= 183 ft
Find out more solving for distance at https://brainly.com/question/10739348
#SPJ1
which table of ordered pairs represents a proportional relationship?
Answer:
B
Step-by-step explanation:
Every (x,y) pair is equal to each other, thus making them proportional :)
2(−6c+3)+4c2, left parenthesis, minus, 6, c, plus, 3, right parenthesis, plus, 4, c
Answer:
[tex]-8c+6[/tex]
Step-by-step explanation:
[tex]2(-6c+3)+4c=-12c+6+4c=\boxed{-8c+6}[/tex]
Answer:
-8c + 6 and 3(-4c+2) + 4c
Step-by-step explanation:
khan
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER
The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.
Given that BD is diameter of the circle and angle BAC is 100°.
We are required to find the central angle, major arc, minor arc, m BEC, BC.
Angle is basically finding out the intensity of inclination of something on the surface.
In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.
Major arc of a circle is that arc whose length is larger than all other arcs in the circle.
In our circle the major arc is arc BED.
Minor arc of a circle is that arc whose length is smaller.
In our circle the minor arc is arc ADC.
We know that arc's length is 2πr(Θ/360)
In this way BC=2π*(BD/2)*100/360
=(5π*BD)/18
We cannot find angle BEC.
Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.
Learn more about angles at https://brainly.com/question/25716982
#SPJ1
Numbers from 1 to 50.
Find the probability of choosing
numbers with last digit 6.
0.1 or 10%
Step-by-step explanation:The numbers between 1 and 50 that end in 6 are as follows:
6, 16, 26, 36, 46
There are therefore 5 numbers between 1 and 50 that end in 6.
This means there are 5 out of 50, or 5/50.
5/50 is 0.1 as a decimal, or 10% in percentage form.
Suppose a stock qualifies as having moderate risk if the standard deviation of its monthly rate of return is less
than 10%. A stock rating agency randomly selects 36 months and decides the rate of return for a specific fund.
The standard deviation of the rate of return is computed to be 4.95%. Is there sufficient evidence to conclude
that the fund has moderate risk at the α=0.05 level of significance? A standard probability plot shows that the
monthly rates of return are typically distributed.
Test the claim using a hypothesis test.
What are the null and alternative hypotheses for the hypothesis test?
What is the conclusion based on the hypothesis test?
The conclusion of the Hypothesis Conclusion is; that there is sufficient evidence to support the claim that the fund has moderate risk.
How to test hypothesis claim?
We are given;
Sample size; n = 36
Population standard deviation; σ₀ = 10
Sample standard deviation; s = 4.95
Significance level; α = 0.05
Claim: Standard deviation less than 10
The claim is either the null hypothesis or the alternative hypothesis. The null hypothesis needs to contain an equality and the value mentioned in the claim. If the claim is the null hypothesis, then the alternative hypothesis states the opposite of each other. Thus;
Null Hypothesis; H₀: σ = 10
Alternative Hypothesis; H₁: σ < 10
Compute the value of the test statistic:
χ2 = [(n - 1)/(σ²)] * s²
χ2 = [(36 - 1)/(10²)] * 4.95²
χ2 = 8.576
The critical value of the left-tailed test is given in the row with df = n - 1 = 36 - 1 = 35 and in the column with 1 − α = 0.95 of the chi-square distribution table online, we have;
χ2_{1 - α} = 21.77
The rejection region then contains all values smaller than 21.77
If the test statistic is in the rejection region, then reject the null hypothesis:
8.576 < 13.848
Thus, we will reject H₀ and conclude that there is sufficient evidence to support the claim that the fund has moderate risk.
Read more about Hypothesis Conclusion at; https://brainly.com/question/15980493
#SPJ1
Find the measure of angles a and b
The equation of the line passing through point _____ and point _____ plotted below in point-slope form is y+3 =-(x-4)
Answer:
The equation of the line passing through point __0___ and point __1___ plotted below in point-slope form is y+3 =-(x-4
1 gallon of paint covers 300 ft how many gallons I needed for a room 30 ft long 20 ft wide by 12 ft high
Answer:
6 gallons
Step-by-step explanation:
the total area to be painted :
= The total surface area - area of the floor
= area of the walls + area of the ceiling
area of the walls :
= [perimeter of the room] ×height
= [2 × (30+20)] × 12
= 1 200
area of the ceiling :
= length × width
= 30 × 20
= 600
the total area to be painted :
= 1200 + 600
= 1800
The number of gallon of paint needed to cover the room :
= 1800 ÷ 300
= 6
Choose the number (X) that should come next in this series (1, 2, 6, 15, X, 56, 92)
Answer:
31
Step-by-step explanation:
The numbers in the sequence increase by (n+1)^2. So the sequence is (1, 1+1^2 (which is 2), 2+2^2 , 6+3^2, 15+4^2, 31+5^2, 56+6^2) and the fifth term of that sequence is 15+4^2, which is 31
The unknown number(x) in the series is 31.
The given series 1, 2, 6, 15, x, 56, 92.
We need to find the value of x.
What is a series?In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, and mathematical analysis.
The numbers in the series increase by (n+1)².
So the sequence is 1, 1+1² (which is 2), 2+2², 6+3², 15+4², 31+5², 56+6² and the fifth term of that sequence is x=15+4²=31.
Therefore, the unknown number(x) in the series is 31.
To learn more about the series visit:
https://brainly.com/question/16415816.
#SPJ2
Suppose X, Y and Z are uncorrelated random variables with means 1, 2 and 3 and standard deviations 2, 4 and 5 respectively. If U = Y – X and V = Z – Y. Compute the correlation coefficient between U and V and comment on your result.
The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.
How to illustrate the information?The data shows that:
E(x) = 1
E(y) = 2
E(z) = 3
Var(X) = 2² = 4
Var(Y) = 4² = 16
Var(Z) = 5² = 25.
Cov(U, V) = 16
Var(U) = Var(Z - Y)
= 25 - 0 + 16
= 41
The correlation coefficient will be:
= -16/✓(20 × 41)
= -0.5587
The correlation coefficient between U and V is -0.5587 and it illustrates to at there's a negative relationship between U and V.
Learn more about correlation on:
brainly.com/question/4219149
#SPJ1
Name the coordinates of the vertices of the feasible region for the following system of inequalities. y>2,
The feasible reason for inequality y>2 is attached.
Learn more about inequalities here:
https://brainly.com/question/25275758
#SPJ1
someone solve this question for me with detailed explanation and step by step so i can grasp the concept
Answer:
3rd grade
Step-by-step explanation:
Given that the values are different types (fractions, decimals, and percentages), it would be helpful to convert them to the same type of value.
Converting everything to percentages seems more convenient.
Since 61.24% is already a percentage, we simply have to convert 0.52, 25/36, and 0.5274444 (I wrote 0.5274 like this since the 4 is a repeating value).
To convert 0.52, we simply multiply by 100:
0.52 * 100 = 52%
For 25/36, we need to know its decimal form and multiply by 100 to find the percentage:
25 / 36 = 0.6944 * 100 = 69.44%
For 0.5274444, we also multiply by 100:
0.5274444 * 100 = 52.74444
Thus, we have 52% (2nd grade), 69.44% (3rd grade), 61.24% (4th grade), and 52.74444% (5th grade).
3rd grade has the highest portion of students
Solve the following equation:
[tex]z {}^{4} + z {}^{2} - i \sqrt{3} = 0[/tex]
Note that:
[tex]i = \sqrt{ - 1} [/tex]
× Irrelevant answers will be blocked and reported.
Complete the square.
[tex]z^4 + z^2 - i\sqrt 3 = \left(z^2 + \dfrac12\right)^2 - \dfrac14 - i\sqrt3 = 0[/tex]
[tex]\left(z^2 + \dfrac12\right)^2 = \dfrac{1 + 4\sqrt3\,i}4[/tex]
Use de Moivre's theorem to compute the square roots of the right side.
[tex]w = \dfrac{1 + 4\sqrt3\,i}4 = \dfrac74 \exp\left(i \tan^{-1}(4\sqrt3)\right)[/tex]
[tex]\implies w^{1/2} = \pm \dfrac{\sqrt7}2 \exp\left(\dfrac i2 \tan^{-1}(4\sqrt3)\right) = \pm \dfrac{2+\sqrt3\,i}2[/tex]
Now, taking square roots on both sides, we have
[tex]z^2 + \dfrac12 = \pm w^{1/2}[/tex]
[tex]z^2 = \dfrac{1+\sqrt3\,i}2 \text{ or } z^2 = -\dfrac{3+\sqrt3\,i}2[/tex]
Use de Moivre's theorem again to take square roots on both sides.
[tex]w_1 = \dfrac{1+\sqrt3\,i}2 = \exp\left(i\dfrac\pi3\right)[/tex]
[tex]\implies z = {w_1}^{1/2} = \pm \exp\left(i\dfrac\pi6\right) = \boxed{\pm \dfrac{\sqrt3 + i}2}[/tex]
[tex]w_2 = -\dfrac{3+\sqrt3\,i}2 = \sqrt3 \, \exp\left(-i \dfrac{5\pi}6\right)[/tex]
[tex]\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}[/tex]
Wich solutions are correct
Answer:
Rhoda and Ming are both correct, but Ming's prediction is closer because the result is accurate to two decimal places.
Step-by-step explanation:
ILL GIVE BRAINLIEST
4. Multiply the following signed numbers:
a. (-42x)(+2x) =
b. (+8x)(-4x)(-3x) =
c. (+7)(-4)(-4) =
d. (+10)(-2)(-2)(+4) =
Explanation:(x)(x)=x^2 and(x)(x)(x)=x^3
Which rule describes the relationship between the x- and y- coordinates on the following graph? Choose 1 answer:
(Choice A)
A
y
=
2
x
y=2xy, equals, 2, x
(Choice B)
B
y
=
x
+
2
y=x+2
Answer:
A
Step-by-step explanation:
given the points
(0, 0 ) , (2, 4 ) , (4, 8 )
note that the y- coordinate is twice the value of the x- coordinate , so
y = 2x
Difference of Squares gives which complex factors for the expression +3?
A. (x+3i)(x-3i)
B. (x-i-√3)(x-i√3)
C. (x+3i)^2(x-3i)²
D. (x+i√3)(x-i√3)
The difference of squares is:
(x+i√3)(x-i√3)
So the correct option is the last one, D.
Which expression gives x^2 + 3?For a complex number:
[tex]Z = a + b*i[/tex]
We define the complex conjugate of Z as:
[tex]Z' = a - b*i[/tex]
Such that the product between the complex number and its complex conjugate gives:
[tex]Z*Z' = a^2 + b^2[/tex]
Now, of you look at option D, you can see we have the product of a number and its conjugate, then we can write the product and use the above rule to get:
[tex](x + i\sqrt{3} )*(x - i\sqrt{3} ) = x^2 + (\sqrt{3} )^2 = x^2 + 3[/tex]
Which is what we wanted to get, so that is the correct option.
If you want to learn more about complex numbers:
https://brainly.com/question/10662770
#SPJ1
ILL GIVE BRAINLIEST
Follow the instructions for the following inequalities.
1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Answer:
below
Step-by-step explanation:
1) 4 < 7
28 < 49
168 < 294
1680 < 2940
2) 11 > -2
16 > 3
19 > 6
15 > 2
3) -4 < -2
-10 < -8
-18 < -16
-20 < -18
4) -8 < 8
2 > -2
-1 < 1
5) When you multiply by a negative number, the inequality sign flips.
How many pairs of parallel faces does this shape have?
Answer: one
Step-by-step explanation:
parallel faces are the ones that are opposite to each other.
Answer:
one
Step-by-step explanation:
there is only one pair of parallel faces.
ASAP help me with this question
Answer:
SAS and SSA
Kindly award branliest
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
Congruency refers to the criteria of making two identical shapes that can hide each other properly when overlapped.
The criterias that guarantee congruence are :
SSSSASASAAAS[tex] \qquad \large \sf {Conclusion} : [/tex]
Correct options are : b, c, d, eWrite an inequality for the following statement, 1 is greater than x
The inequality suitable if 1 is greater than x is x<1.
Given that 1 is greater than x.
We are required to form an inequality which shows that 1 is greater than x.
Inequality is like an equation showing relationship between two or more variables.It is mostly not found in equal to form.
It shows the range of quantities.
When 1 is greater than x means the greater than sign will be used for 1 not x and the inequality will be as under:
x<1
We have not used equal to sign because 1 is greater than x not equal to x.
Hence the inequality suitable if 1 is greater than x is x<1.
Learn more about inequality at https://brainly.com/question/24372553
#SPJ1
Solve for x
(please write work)
Answer:
x = -9
Step-by-step explanation:
12 + 2x + 24 = 27 + x
(12 + 24) + 2x = 27 + x
36 + 2x = 27 + x
subtract 27 from both sides
36-27 + 2x = 27-27 + x
9 + 2x = x
subtract x from both sides
9 + x = 0
subtract 9 from both sides
x = -9
(the steps could've been faster but that shows the most work)
check:
12 + 2(-9) + 24 = 27 + (-9)
36 - 18 = 18
18 = 18
True!
so -9 is correct
Answer:
Step-by-step explanation:
To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.
What is the domain of f(x)=(1/3)^x
Answer:
All Real Numbers
Step-by-step explanation:
The domain is all the x values for a function. As this function is not restricted in any way, the domain is all real numbers. You can put any number in for x and plot it on the graph.
The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 96
cm ^2 , what is the length of the diagonal?
Thee diagonal of the rectangle is 13.86 cm long.
What is the length of the diagonal of rectangle?We are given that;
Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;
W = 2L - 9
Area formula for a rectangle is;
A = Length * Width
We are given area of rectangle = 96 cm²
Thus;
L(2L - 9) = 96
2L² - 9L = 96
2L² - 9L - 96 = 0
Using online quadratic equation calculator gives;
L = 9.53 cm
Thus;
W = 2(9.53) - 9
W = 19.06 - 9
W = 10.06 cm
The diagonal of the triangle will be gotten from Pythagoras theorem;
D = √(9.53² + 10.06²)
D = √192.0245
D = 13.86 cm
Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.
Read more about Rectangle Diagonal at; https://brainly.com/question/7071655
#SPJ1
Describe at least two differences between constructing parallel lines and constructing perpendicular lines
Answer:
Step-by-step explanation:
parallel lines are the same so they dont touch u-u
perpendicular lines do touch eachother and intersect
The required two differences between constructing parallel lines and constructing perpendicular lines are,
1) Constructing parallel lines never intersect each other while perpendicular lines intersect each other.
2) Constructing Perpendicular lines make an angle of 90° with each other at the point of the intersection. while parallel lines do not have angles with each other.
Parallel lines are defined as the pair of lines in which points on both the lines are equidistant from each other, and the line never intersects each other.
The differences between constructing parallel lines and constructing perpendicular lines are as follows.
1) Constructing parallel lines never intersect each other while perpendicular lines intersect each other.
2) Constructing Perpendicular lines make an angle of 90° with each other at the point of the intersection. while parallel lines do not have angles with each other.
Learn more about parallel lines here,
https://brainly.com/question/16701300
#SPJ2
Goldie Gold Jewelry uses direct labor hours to apply overhead and estimated total overhead costs at $52,500 and direct labor hours at 12,500 for the second quarter. The direct labor quantity standard is 1.75 direct labor hours per unit, and the company produced 5,250 units in the second month of the second quarter. This required 2,625 direct labor hours. What was the overhead rate for the second quarter?
In the case above, the value of the overhead rate for the second quarter is $17,640.
What is the overhead rate about?Note that:
In the case above, for one to be able to calculate the predetermined overhead rate, a person need to divide the value of the estimated overhead costs which is $52,500 by that of the estimated direct labor hours .
Predetermined overhead rate=Estimated overhead costs/ estimated direct labor hours
Predetermined overhead rate=$52,500/ 12,500
Predetermined overhead rate=$4.20/DLH overhead rate
Hence: $52,500/ 12,500 = $4.20/DLH overhead rate.
Since the Overhead that was applied at standard hours was said to be allowed, then:
= $4.2 x 2,400 x 1.75
= $17,640.
Therefore, In the case above, the value of the overhead rate for the second quarter is $17,640.
Learn more about overhead rate from
https://brainly.com/question/16256360
#SPJ1
Find the exact value of x.
X =
11
X
00
8
