Answers
Option C: The relationship between the statement cannot be determined.
What is Conditional statement?
Two independent statements can be related to each other in a logic structure called a conditional statement.
The first statement is presented with “if,” and is referred to as the hypothesis.
The second statement is linked with “then”, and is known as the conclusion.
The notation associated with conditional statements typically uses the variable p for the hypothesis statement, and q for the conclusion.
p → q
Explanation for the answer:
The converse statement is notated as q→p (if q, then p). The original statements switch positions in the original “if-then” statement.The inverse statement assumes the opposite of each of the original statements and is notated ∼p→∼q (if not p, then not q).The contrapositive statement is a combination of the previous two. The positions of p and q of the original statement are switched, and then the opposite of each is considered: ∼q→∼p (if not q, then not p).
So, from the above we can clearly see that the both the statement 1 and statement are not start with "if" and "then".
Therefore, their relationship cannot be determined.
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Related Questions
Which points are on the axes 5 units from the origin
Answers
Answer:
E and X
Step-by-step explanation:
look for the 6 then behind it
Answer:
X and E
Step-by-step explanation:
"axes" is the plural of axis. The x-axis is the flat line marked with numbers and arrows at the ends. Its labelled x on the right side.
The y-axis is the up-and-down line marked with numbers and arrows at the ends, labelled y at the top.
The origin is where the two axes cross.
Points J, E, X and P are all on the axes. But X and E are 5 units from the origin (where the lines cross) J and P are 9 units from the origin.
2, 6 and 10 were labelled on the axes, but each tick mark is an evenly spaced amount. So the 5 was unlabelled, but it is understood to be 5. See image.
What are the solutions to the equation 3k² + k-3=0?
Approximate the value of both solutions. Round each answer to two decimal places. Enter your answers as
a list of numbers, separated with commas. Example: 3.25,4.16
k=
Answers
Answer:
Step-by-step explanation:
Solution
Solve with the quadratic formula
3k2+k−3=0 : k=(−1+√376)/6 , k=(−1−√376 )/6 (Decimal: k=0.84712…, k=−1.18046…)- Answer
Steps
3k2+k−3=0
Solve with the quadratic formula
For a quadratic equation of the form ax^2+bx+c=0,
the solutions are x1, 2=(−b±√b^2−4ac)/2a where a=3, b=1, c=−3
Substituting we have
k1, 2= [(−1±√1^2−4· 3(−3)]/2· 3
Apply rule 1^a=1 , therefore 1^2=1
=√1+4· 3· 3=√1+36
√1^2−4· 3(−3)=√37
Therefore,
k1, 2=(−1±√37)/2· 3
k1, 2=(−1±√37)/6
Separate the solutions
k1=(−1+√37)/6
k2=(−1−√37)/6
The solutions to the quadratic equation are:
k=(−1+√37)/6 , k=(−1−√37)/6
k1=0.84712 k2=−1.18046
Mr. Dunston and Mr. Dolland spent $45 all
together. Mr. Dunston and Ms. Campbell
spent $65 all together. If Ms. Campbell spent
3 times as much as Mr. Dolland, how much
did Mr. Dunston spend?
Answers
The money spent by Mr. Dunston is $ 35.
Given that:-
Money spent by Mr. Dunston and Mr. Dolland = $ 45
Money spent by Mr. Dunston and Ms. Campbell = $ 65
Ms. Campbell spent 3 times as much as Mr. Dolland.
We have to find the money spent by Mr. Dunston.
Let the money spent by Mr. Dunston be $ x,
Let the money spent by Mr. Dolland be $ y and,
Let the money spent by Ms. Campbell be $ 3y
Hence, from the data given in the question, we can write,
x + y = 45 ...(1)
x + 3y = 65 ... (2)
By elimination method, we can write,
(2) - (1)
2y = 20
y = 10
x + 10 = 45
x = 45 - 10 = 35
x = 35
Hence, the money spent by Mr. Dunston is $ 35.
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janet and andy bowled three games. Janets scores were 119, 96, and 145. Andys scores were 127, 74, and 88. How much greater was janets total score for the three games that andys total score
Answers
Answer:
64
Step-by-step explanation:
119+89+145=353-289=127+74+88
^
64
DONT IGNORE PLEASE HELP! Identify the correct diagram and formula to find the measure of an interior angle of hexagon.
Answers
The formula to find the measure of an interior angle of a hexagon is [(n - 2)×180]/n. Hence, option C is correct.
What is a Polygon?In geometry, a polygon is any enclosed curve made up of a collection of continuous line segments (sides) without any intersections.
Triangles (three sides), polyhedral (four sides), and pentagons are the three simplest polygons (five sides). Convex polygons are those in which none of the elongated sides overlap the polygon; concave polygons are those in which they do.
Equilateral refers to a polygon with equal angles. Equiangular shapes have equal internal angles on all sides. Regular polygons are any equilateral and equiangular polygons.
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expand and simplify 3(2x+1)+(x+4)
Answers
6x+3+x+4
7x+7
7(x+1)
Which equation has the same solution as x² + 4x + 13 = -10?
Answers
From the given set of equation the one which has same solution as
x² + 4x + 13 = -10 is given by (x+2)² = -19.
As given in the question,
Given equation is equal to:
x² + 4x + 13 = -10
Simplify it we get,
x² + 4x + 13 +10 =0
⇒ x² + 4x + 23 =0 ___(1)
General quadratic equation is
ax² + bx + c =0
a = 1 , b =4 , c =23
Simplify the given options we have:
a. (x+2)² = -19
⇒ x² + 4x + 4 = -19
⇒ x² + 4x + 4 + 19 =0
⇒ x² + 4x + 23 =0
Has same solution as given one.
b. (x-2)² = -27
⇒ x² -4x + 4 +27 =0
⇒x² -4x +31 =0
'b' and 'c' value are different
Not have same solution.
c. (x-2)² =-19
⇒ x² -4x + 4 +19 =0
⇒x² -4x +23 =0
'b' value is different.
Not have same solution.
d. (x+2)² = -27
⇒ x² +4x + 4 +27 =0
⇒x² +4x +31 =0
'c' value is different
Not have same solution.
Therefore, from the given set of equation the one which has same solution as x² + 4x + 13 = -10 is given by (x+2)² = -19.
The complete question is:
Which equation has the same solution as x² + 4x + 13 = -10?
a. (x+2)² = -19
b. (x-2)² = -27
c. (x-2)² =-19
d. (x+2)² = -27
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The laundry room at a hotel sent 160 bath
towels and 64 washcloths to the most rooms
they could so that each room received the
same number of each type of towel. How
many bath towels and how many washcloths
went to each room?
Answers
Answer:
5 bath towels
2 washcloths
Step-by-step explanation:
160 = 2⁵ × 5
64 = 2⁶
HCF= 2⁵ = 32
160 ÷ 32 = 5
64 ÷ 32 = 2
3 times 4 times 4 times 3 times 3 times 4 = 3 (to the power of x) times 4 (to the power of y)
Answers
The value of 3 times 4 times 4 times 3 times 3 times 4 in exponent is 3³ × 4³
What is an exponent?An exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
In this case, the expression given is 3 times 4 times 4 times 3 times 3 times 4. It should be noted that the 4 occurs three times as well as the 3.
Therefore, this will be 3³ × 4³.
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=
Simple interest is given by the formula A P+Prt. Where A is the balance of the
account after t years, and P is the starting principal invested at an annual percentage rate
of r, expressed as a decimal.
Bill is investing $26,000 into a savings account that pays 2.6% simple interest. How long will
it take for this investment to double in value?
It will take
Round your answer to the nearest tenth.
years for this investment to double in value.
Answers
The investment will take 38.5 years to double in value.
What is simple interest?
The principal of a loan or the first deposit into a savings account serves as the basis for simple interest. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
P=$26,000 r=2.6%=0.026
A=2P=2(26,000)=$52,000
A=P+Prt
Substitute the known values
52,000=26,000+(26,000×0.026t)
52,000-26,000=676t
On simplifying, we get t= 38.46 years
Rounded number to the nearest tenth=38.5 years
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Joe has eaten 3/5 of pizza. Jane has eaten 1/6 of a pizza. How many times more pizza has joe eaten than Jane?
Answers
Joe has eaten 3.6 times more pizza than Jane has eaten.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Joe has eaten 3/5 of the pizza. Jane has eaten 1/6 of a pizza.
Divide the fraction number 3/5 by the fraction number 1/6. Then we have
⇒ (3/5) / (1/6)
Simplify the expression, then we have
⇒ (3/5) x 6
⇒ 3.6
Joe has eaten 3.6 times more pizza than Jane.
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Greta made $96.00 babysitting last week. If she worked 8 hours last week, which equation can be used to find h, her
hourly pay?
8h=96
h+8=96
h
= 96
h=96-8
Answers
explanation-
we know that greta made 96 dollars total so 96 will come after the equal sign. since she worked 8 hours we have to multiply her hourly wage or h by 8 to get to 96. 8 x h in algebraic form is 8h. so the answer is 8h is equal to 96 or 8h=96
4. A Space Z engineer is testing the design of a new heat shield for its Komodo spacecraft. The design is meant to prevent
the interior of the shield from reaching a temperature of 200◦C. Over the course of 24 trials, the average temperature
of the shield was 194.37◦C with a standard deviation of 4.29◦C. Assume all temperature measurements follow a normal
distribution.
(a) Test at the 1% level of significance if the shield’s average temperature is less than 200◦C.
(b) Explain a Type I error in the context of the data.
Answers
At the 1% level of significance, the heat shield for the Komodo spacecraft have average temperature of 191.811° C < x-bar < 196.73° C which is less 200◦C
Type I error is explained below
How to know of the shield's average temperature is less than 200 degree Celsius1% level of significance means that the p value or the probability of the temperature of the new heat shield for Komodo spacecraft being less than 200° C is less than 1%
The range of average temperatures of the shield is given by the formula
= x-bar ± t(s/√n)
Definition of variables
mean, x-bar = 194.37° C
standard deviation, s = 4.29° C
sample size, n = 24
significance level = 1%
confidence level = 1 - significance level = 1 - 0.01 = 0.99 = 99%
z score, z
For sample size less than 30, n < 30. t scores are used
degree of freedom, df = n - 1 = 24 - 1 =23
t score for 99% confidence level and df of 23 = 2.808
substituting into the formula
= x-bar ± t(s/√n)
= 194.37 ± 2.808 (4.29/ √24)
= 194.27 ± 2.4589
= 191.811 ° C < x-bar < 196.73° C
Type I error in the context
Type I error is when the engineer's test shows that the interior of the Konodo spacecraft is below 200° C when the interior is actually above 200° C
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A survey asked 300 students to choose their favorite type of movie.
The results are shown in the following table.
(a) Find the percentage for each type of movie.
Type of movie
Action
Comedy
Drama
Thriller
Number of
students
27
42
120
111
Percentage
1%
%
%
%
X
5
Answers
Answer:
300/100%=3%
Step-by-step explanation:
sorry, can't explain.Ihave class tomorrow
The screenshot included A crate of medicine with a density of 2050 kilograms per cubic meter that will be shipped from England to the U.S. What is the crate's density in pounds per cubic foot?
Answers
The crate's density in pounds per cubic foot?
What is the crate's density in pounds per cubic foot?Since the crate of medicine with a density of 2050 kilograms per cubic meter will be shipped from England to the U.S, we require its density in pounds per cubic foot.
To do this, we convert the density in kilograms per cubic foot to pounds per cubic foot by using the ratios of conversion given
Since the density of the crate in kilograms per cubic meter is
2050 kg/m³, using the conversion ratios, we have
2050 kg/m³ = 2050 kg/m³ × 1 m³/35.3 ft³ × 2.2 lb/kg
= 4510 lb/m³ × 1 m³/35.3 ft³
= 127.76 lb/ft³
So, crate's density is 127.76 lb/ft³
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math what does g =.................
Answers
The value of g after solving the expression, 5/2-2g = 5g/2-3+g, is 1.
According to the question,
We have the following expression:
5/2-2g = 5g/2-3+g
Now, moving the terms with the same variables on one side and the integers on another side.
Note that when we move any number of term from one side to another which is in addition or subtraction will result in change of the sign from minus to plus and plus to minus.
5/2+3 = 2g+5g/2+g
Taking 2 as the least common factor on the left hand side and right hand side:
(5+6)/2 = (4g+2g+5g)/2
11/2 = 11g/2
Now, 11/2 on the left hand side can be divided by 11/2 on the right hand side:
g = 1
Hence, the value of g is 1.
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Over the last three evenings, Amanda received a total of 63 phone calls at the call center. The third evening, she received 2 times as many calls as the first
evening. The second evening, she received 5 fewer calls than the first evening. How many phone calls did she receive each evening?
Answers
68 calls she received in each evening .
What is linear equation ?A straight line equation and equations with a maximum order of one are referred to as "linear equations." The formula for the linear equation can be written as Y = mx + b, where m is the slope of the line, b is the y-intercept, and x and y are the variables. Slopes tell us the direction and steepness of a line. The value of y when x is 0 is referred to as the y-intercept because (0,y) is the point where the line crosses the y-axis.
CalculationLet's say the number of calls on the second night was x.
The first evening was then x+7.
The third evening she received 4x calls.
Add them up to make 109 calls....
x + x+7 + 4x = 109
6x + 7 = 109
6x = 102
x = 17 calls
x+7 = 24 calls
4x = 68 calls
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Neeeedddd Helpp Pls!!! I'll give brainliest to the person with the correct answer!
Show work please.
M∠M = 6x – 6 and m∠P = 4x + 10, what is m∠M?
Answers
6x-6 = 4x + 10
This equation is to solve for x
2x-6 = 10 (Subtract 4x from both sides)
2x = 16 (Add 6 to both sides)
x = 8 (Divide both sides by 2)
Then, plug in 8 to x. You’ll get 48-6 is the measure of angle M, so the answer is 42 degrees. Hope this helps
ANSWER: 42 degrees
-1/2u+3/5=1/6 What is u?
Answers
Using the simplification, the value of u is 13/15.
In the given question we have to find the value of u.
The given expression is -1/2u+3/5=1/6
Simplifying the given expression to find the value of u.
-1/2u+3/5=1/6
Subtract 3/5 on both side, we get
-1/2u=1/6-3/5
Now equal the denominator to simplify
-1/2u=1/6 *30-3/5 *30
-1/2 *30u=5-3*6
-15u=5-18
-15u= -13
Divide by -15 on both side, we get
u = 13/15
Hence, the value of u is 13/15.
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ADC ~ CDB by the AA triangle similarly theorem. what is the measure of AC? Round to nearest 10th
Answers
The measure of side AC in the triangle is 2.7 m
Calculating measures of sides in similar trianglesFrom the question, we are to determine the measure of AC
From the given information, we have that ΔADC is similar to ΔCDB
Thus,
We can write that
|DC| / |DB| = |AC| / |CB|
From the diagram,
|DC| = 5.5 m
|DB| = 6.3 m
|AC| = h
|CB| = 3.1 m
Then,
5.5 / 6.3 = h / 3.1
∴ h = (5.5 × 3.1) / 6.3
h = 17.05 / 6.3
h = 2.70635 m
h ≈ 2.7 m
Hence,
The length of AC is 2.7 m
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Which statements are true about the ordered pair (−4, 0) and the system of equations? {2x+y=−8x−y=−4 Select each correct answer. Responses The ordered pair (−4, 0) is a solution to the first equation because it makes the first equation true. The ordered pair , begin ordered pair negative 4 comma 0 end ordered pair, is a solution to the first equation because it makes the first equation true. The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true. The ordered pair , begin ordered pair negative 4 comma 0 end ordered pair, is a solution to the second equation because it makes the second equation true. The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false. The ordered pair , begin ordered pair negative 4 comma 0 end ordered pair, is not a solution to the system because it makes at least one of the equations false. The ordered pair (−4, 0) is a solution to the system because it makes both equations true.
Answers
The statements that are true about the ordered pair (−4, 0) and the system of equations include the following:
The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true. The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.How to determine the solution?In order to determine which statements are true with respect to a solution of the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;
For ordered pair (-4, 0), we have:
2x + y = -8x
2(-4) + 0 = -8(4)
-8 = -32 (False)
For ordered pair (-4, 0), we have:
x - y = -4
-4 - 0 = -4
-4 = -4 (True).
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Instructions: Show that the conjecture is false by finding a counterexample. Change the value of n below in order to make it a counterexample. "Two supplementary angles are not congruent."
Answers
The counterexample for "Two supplementary angles are not congruent." is
angle 100° and angle 80° are supplementary angels
angle 90° and angle 90° are supplementary angels
The instances show supplementary angles that are not congruent
What is counter examples?A specific situation that demonstrates that a statement is untrue is referred to as a counterexample.
Counterexamples provides instances that opposes the statement
In this case the two supplementary angles 100-and-80 and 90-and-90 are not congruent and hence a counterexample to the statement
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what is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute
Answers
The probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute is; 0.012676.
How to find the probability from z-score?
This z-score is used to tell us the number of standard errors that exists between the sample mean and the population mean.
The formula for z-score here is;
z = (x' - μ)/(σ/√n)
where;
x' is sample mean
μ is population mean
σ is standard deviation
n is sample size
We are given;
Sample mean; x' = 97
Population mean; μ = 91
Standard deviation; σ = 10
Sample size; n = 20
Thus;
z = (x' - μ)/(σ/√n)
z = (97 - 91)/(10/√20)
z = 2.236
From online p-value from z-score calculator, we have;
p = 0.012676
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Complete question is;
The reading speed of second grade students in a large city is approximately normal, with a mean of 91 words per minute (wpm) and a standard deviation of 10 wpm.
what is the probability that a random sample of 20 second grade students from the city results in a mean reading rate of more than 97 words per minute
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3miles per hour. Which equation models the total distance, D, Sarah travels after hiking an additional h hours
Answers
The required expression for the Sarah's travel is y = 5 + 3h.
Given that,
Which equation models the total distance, D, Sarah travels after hiking additional h hours is to be determined.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3miles per hour.
Let the total distance hike by Sarah be y,
According to the question,
y = 5 + 3h
Thus, The required expression for the Sarah's travel is y = 5 + 3h.
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Need help some one please y turn in tomorrow
Answers
Answer:i think the answer is 2/4 or 3/2
Step-by-step explanation:
On a banquet table, 8 different dishes of food will be placed in a row. There are 4 vegetarian dishes and 4 meat dishes.
They will be placed alternating between the two types of dishes. A vegetarian dish will be first. How many ways are
there to place the dishes on the table?
Answers
If a vegetarian dish will be first. The number of different ways that are there to place the dishes on the table is 576.
How to find the number of different ways?There are 4 vegetarian dishes = P4 = 4!
There are 4 meat dishes =P4 =4!
Now let find the number of different ways
Number of different ways = 4! × 4!
Number of different ways = 24 × 24
Number of different ways = 576 different ways
Therefore the number of different ways is 576.
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What is the y-intercept of a line that has a slope of 2 and ( - 2, 3 ) is a point on the line?
Answers
The y-intercept of the line will be equal to 7.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that a line that has a slope of 2 and ( - 2, 3 ). The y-intercept of the line will be calculated as,
y = mx + c
3 = (-2 x 2 ) +c
3 = -4 + c
c = 4 + 3
c = 7
Therefore, the y-intercept of the line will be equal to 7.
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Find two z values so that the middle 67% of the area is bounded by them.
Answers
The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.
What is a standard normal distribution?In all continuous probability distributions, it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.
The area between the two boundaries is 0.67and the remaining area is 0.33 (= 1-0.56) , which is to the left of it.
Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.
Therefore, the two z values are 0.44 and -0.44.
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The two z values that the middle 67% of the area is bounded by them are -3.999 and 3.999.
What is a standard normal distribution?In all continuous probability distributions, it is possible to calculate the percentiles, which are defined as the value of the random variable that leaves an area equal to the percentile to the left of the distribution. When it comes to a central percentile, the area is distributed and the percentile is determined using a table of values or technology.
The area between the two boundaries is 0.67and the remaining area is 0.33 (= 1-0.56) , which is to the left of it.
Look into the z table to find the area between z=-x and mean and z=x and mean. According to z score table z=0.44 has 0.67 of the area to the left of (below) it. That means z=-0.44 has 0.67 of the area to the right of (above) it.
Therefore, the two z values are 0.44 and -0.44.
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The formula is у= 6х - 5 Determine the value of x, if y=7
Answers
Answer:
x=2
Step-by-step explanation:
You can put the equation as 7=6x-5
Move equation
12=6x
Divide
x=2
The width of a rectangle measures (9.6w+4.7x) centimeters, and its length
measures (7.8w - 2.1x) centimeters. Which expression represents the perimeter,
in centimeters, of the rectangle?
Answers
Answer:
[tex]34.8w+5.2x[/tex] cm
Step-by-step explanation:
If the width of a rectangle measures [tex](9.6w+4.7x)[/tex] cm and its length measures [tex](7.8w-2.1x)[/tex] cm, then the perimeter of the rectangle is:
[tex]2(9.6w+4.7x)+2(7.8w-2.1x)[/tex]
[tex](19.2w+9.4x)+(15.6w-4.2x)[/tex]
[tex]19.2w+9.4x+15.6w-4.2x[/tex]
[tex]19.2w+15.6w+9.4x-4.2x[/tex]
[tex]34.8w+5.2x[/tex]