Answer:
The possibility of rolling a
3
on a fair die and getting tails on a coil is
1
12
. Based on this probability, there are
12
possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.
Step-by-step explanation:
The probability of rolling a
3
on a fair die is
1
6
because there is only one
3
out of
6
numbers. The probability of getting tails on a coin is
1
2
because there are
2
possibilities and tails is one of them. To get the probability of rolling a
3
on a fair die and getting tails on a coil, we multiply their probabilities:
1
6
⋅
1
2
=
1
12
There are
12
possiblities because for each of the
6
possibilites for rolling a die, there are
2
possibilites for flipping a coin.
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Amy worked 37.5 hours last week.
She is paid £11.50 per hour.
Her total deductions last week were
£116.30.
What was Amy's net pay last week?
Answer:
Step-by-step explanation:
Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.
Answer:
Angle A = 17°, Angle B = 73°
Step-by-step explanation:
Angle A & Angle B are complementary angles (given) so they will form 90°.
Let's take,
Angle A = x
Angle B = 4x +5 (angle B is five degrees more than four times angle A)
Measure of each angle=?
Angle A + Angle B = 90°
x + 4x + 5 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 ÷ 5
x = 17°
Angle A = x = 17°
Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°
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what is the first step to solve this equation: 11 - 3i = 44
Answer:
11 - 3i = 44 (move 11 to the right side and add minus)
-3i = 44-11
-3i = 33 (dive it by -3)
i = -11
Identify two correct names for the angle below.
help I have already published it 3 times and nobody helps me, could someone help me and explain how to do it? Thank you
9514 1404 393
Answer:
3) 74°
4) 260°
Step-by-step explanation:
3) Angle CAE is vertical to angle FAB, which is shown as 121°. Vertical angles are congruent. So, we have ...
∠DAE +∠DAC = ∠EAC
∠DAE + 47° = 121° . . . . . . . fill in known values
∠DAE = 121° -47° . . . . . . . . subtract 47°
∠DAE = 74°
__
4) arc MJL is the long arc that completes the circle along with short arc MJ. Short arc MJ has the same measure as its central angle, 100°. Then long arc MJL is 360° -100° = 260°.
arc MJL = 260°
What is 468,839 rounded to the nearest hundred thousand?
Step-by-step explanation:
468,839 rounded to the nearest hundred thousand ( 100,000 ) would be 500,00 since its above 50 and its 68.
Hopes this helps :)
What is the median of this data set?
Help!!!!!
Answer:
60
Step-by-step explanation:
X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.
Answer:
On the diagram, construct lines BY, XY and DY.
Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.
BX=DX
AB+radius = CD +radius
AB=CD
Evaluate the expression: -(8 - 12) + 6° + (-4)2.
Answer:
-4 + 6°
Step-by-step explanation:
- (8 - 12) + 6° + (- 4)2 = - ( - 4) + 6° - 8 = 4 + 6° - 8 = - 4 + 6°
Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.
Marble Color Number of
Times Drawn
red 5
blue 6
green 4
purple 1
yellow 4
Based on Marcie’s experiment, what proportion of the marbles in the bag would she expect to be purple?
A.
20%
B.
5%
C.
1%
D.
10%
Answer:
B. 5%
Step-by-step explanation:
add them:
5 + 6 + 4 + 1 + 4 = 20
now use it to divide from the number of times purple is drawn = 1 so,
1/20 = 0.05 = 5%
A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?
No, this is not a right triangle.
Yes, because ED is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to ED which makes a right angle.
Answer:
B. Yes, because ED is perpendicular to DT which makes a right angle.Step-by-step explanation:
Plot the given points and connect in pairs to get a triangle.
Visually we can say it is a right triangle as legs TD and ED seem perpendicular.
Let's confirm this by finding the slopes.
Slope of TD:
m = (-1 - 4)/(1 -(-2)) = -5/3Slope of ED:
(-1 - 2)/ (1 - 6) = -3/-5 = 3/5Product of the slopes is:
-5/3*3/5 = -1This confirms DT⊥ED
Correct choice is B
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2
Answer:
The distance is of 10.8 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
C(-5,4) and D(5,8). So
[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]
The distance is of 10.8 units.
ABCD is a rhombus. The measure of angle <1 = 58°
true
or
false
Answer:
False
Step-by-step explanation:
In a rhombus, the diagonals are always perpendicular.
The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?
a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs
Answer:
C. To control both unintentional research bias and participant prior beliefs
Step-by-step explanation:
Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.
Thus,the correct answer is option C as it includes both the researcher and the participants
Solve the formula Ax + By = C for A
A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use the equation to find the total length of the road after the crew has worked 39 days
Answer:
54 + 4D = L
After 39 days, the total length of the road will be 210 miles.
Step-by-step explanation:
Given that a construction crew is lengthening a road, and the road started with a length of 54 miles, and the crew is adding 4 miles to the road each day, to write an equation in which L represents the total length of the road ( in miles), and D represent the number of days the crew has worked, and then use the equation to find the total length of the road after the crew has worked 39 days, the following calculations should be performed:
54 (initial length) + 4D = L
54 + 4D = L
Thus, if the crew worked 39 days, the equation would be applied as follows:
54 + 4x39 = L
54 + 156 = L
210 = L
Therefore, after 39 days, the total length of the road will be 210 miles.
Find the surface area of a cube with a side base length of 8mm.
Answer:
384mm
Step-by-step explanation:
Please help me Surface Area Homework
please help with this asap thank you
Answer:
Distributive Property
A square has a diagonal measuring 19 centimeters in length.which of the following is closest to the length of each side of the square?
Answer:
13cm
Step-by-step explanation:
Let the length of each side be x;
Using the pythagoras theorem
l² = x² + x²
l is the length of the diagonal
l² = 2x²
19² = 2x²
361 = 2x²
x² = 361/2
x² = 180.5
x =√180.5
x = 13
hence the length of each side of the square is closest to 13cm
find the value of X in the triangle shown below
Answer:
62.
Step-by-step explanation:
The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.
Answer:
62
Step-by-step explanation:
180 - 56 = 124
124/2 = 62
Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 how many adult tickets did they buy
Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
Jane earns $2100 per month, plus a 3.5% commission on sales. If she has $42,000 in sales for December, what is her total salary for the month?
Answer:$3570
Step-by-step explanation:
42000x0.035=1470
2100+1470=3570
What is the measure of op С : 429 180°
Answer:
90
Step-by-step explanation:
the angles that are on the opposite side are same
LEARNED THIS IN FOURTH GRADE
I'm still in fourth grade
my math teacher taught us this separately.
I go to School for the Highly Gifted in Grand Prairie, Texas
A college administrator wanted to know if the proportion of students who request online classes, lab classes, or lecture classes was different at two different campuses. At each campus, the administrator took a random sample of 250 students and asked each student which type of class they preferred. The conditions for the appropriate test were verified, and the chi-square test statistic for the test was calculated to be 4.01 with an associated p-value of 0.1347. If the significance level of the test was alpha = .05, what conclusion should the college administrator make about the proportion of students who request online classes, lab classes, or lecture classes at two different campuses?
A. There is convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus.
B. There is convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.
C. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus.
D. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.
E. There is not convincing statistical evidence to prove that the proportion of students who request certain classes is different at each campus.
Answer:
There is convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus. ( A )
Step-by-step explanation:
Given sample size = 250
Test statistic = 4.01
P-value = 0.1347
significance level = 0.05
while using chi-square we are supposed to reject H0, but we cant get the critical value ( Z - value ) because the information isn't available , but we are left with the P-value and this P-value been very low shows that the Alternate hypothesis is not strong enough for us to reject the Null hypothesis.
hence we will accept the Null Hypothesis
Answer: B. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.
Step-by-step explanation: The null hypothesis is that the proportion of students who request certain classes is the same at each campus. Since the p-value is greater than a, there is insufficient evidence to reject the null hypothesis and conclude the alternative hypothesis, that the proportion of students who request certain classes is different at each campus.
Which of the pairs (2, 3), (1, 2.5), (6, 1), or (−2, 2) is the solution to the equation 4y−x= 10?
Answer:
(2,3)
Step-by-step explanation:
4(3)-(2)=10
12-2=10
The answer is (2,3)
Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?
Answer:
the ratio of food costs to take home dollars is 1:6
Step-by-step explanation:
The computation of the ratio of the foods cost to take home is shown below:
Given that
Monthly take home pay is $1,500
And, the spending month on food is $250
Based on the above information
The ratio is
= $250 ÷ $1500
= 1:6
Hence, the ratio of food costs to take home dollars is 1:6
Blood type AB is found in only 3% of the population.† If 345 people are chosen at random, find the probability of the following. (Use the normal approximation.
Answer:
345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people
Step-by-step explanation: