Answer:
False
Step-by-step explanation:
-24-(-18) is -6 not 6 so it would be untrue
3
Abox of cereal states that there are 84 calories in a
4
-cup serving. What is the unit rate for calories
per cup? How many calories are there in 4 cups of the cereal?
Answer:
21 calories per cup
Step-by-step explanation:
4cups↔84calories
1cup ↔less
1/4x84=21calories
a. Find the probability that when a single six-sided die is rolled, the outcome is 1.
b. Find the probability that when a coin is tossed, the result is tails.
c. Find the probability that when a six-sided die is rolled, the outcome is 13.
a. The probability of rolling a 1 on a six-sided die is
The probability that when a coin is tossed, the result is tails = 1/2
The probability that when a single six-sided die is rolled, the outcome is 1 = 1/6
The probability that when a six-sided die is rolled, the outcome is 13 = 0
What is probability?Probability is simply how likely something is to happen.
A).
The probability that when a single six-sided die is rolled, the outcome is 1.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
All six digits are equally likely to occur.
P (occurring 1) = 1/6
B).
The probability that when a six-sided die is rolled, the outcome is 13.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
13 does not occur in the sample space.
P (occurring 13) = 0
C).
The probability that when a coin is tossed, the result is tails.
When a coin is thrown, sample space = {H, T}
Both head and tail are equally likely to occur.
P (tail) = 1/2
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3. A random sample of 100 people was taken. There were sixty people who favored Brand A. We are interested in determining whether or not the proportion of the population in favor of Brand A is significantly more than 55%. At a 0.05 level of significance, it can be concluded that the portion of the population in favor of Brand A is ____. a. Significantly greater than 60% b. Not significantly greater than 55% c. Not significantly greater than 60% d. Significantly greater than 55% e. None of the above
Testing the hypothesis, it is found that the correct option is:
b. Not significantly greater than 55%.
At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:
[tex]H_1: p < 0.55[/tex]
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 = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]
[tex]z = 1.01[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.
Looking at the z-table, z = 1.01 has a p-value of 0.8438.
1 - 0.8438 = 0.1562.
The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.
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Use a graphing utility to graph the equation. Use the graph to approximate the values of x that satisfy each inequality.
y =
1
2
x2 − 2x + 1
Answer:
25
Step-by-step explanation:
12x2=24-2x+1=25-2x
25-2x=y
(0)
25=y
–27y • (–z) what is the answer
Step-by-step explanation:
27yz
that is the answer
brainiest please
Hello!
The answer is 27yz.
Why?
Because if we multiply a negative times a negative, we always get a positive number.
Hope this helps you!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
Can you answer number 7
Answer:
x= 62
Step-by-step explanation:
brainliest please
Picture below! Plz, answer ASAP. Brainilest will be given!
Answer:
C
Step-by-step explanation:
just use calculator
step by step explanation, please
Answer:
[tex]a=\displaystyle \frac{k}{w+v}[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle \frac{k}{a} =w+v[/tex]
Multiply both sides by a:
[tex]a*\displaystyle \frac{k}{a} =a(w+v)\\\\k=a(w+v)[/tex]
Divide both sides by (w+v):
[tex]\displaystyle \frac{k}{(w+v)} =\displaystyle \frac{a(w+v)}{(w+v)}\\\\\displaystyle \frac{k}{w+v} =a[/tex]
I hope this helps!
What is the local tax deducted for $562 biweekly with 2 1/2% tax? $14.05 $ $21.10 $28.10 $140.50
The amount of tax that will be deducted will be A. $14.05
Amount given = $562Tax percentage = 2 1/2%In order to calculate the local tax that will be deducted, we've to multiply the amount that given by the tax percent and this will be:
= $562 × 2 1/2%
= $14.05
Therefore, the amount of tax that will be deducted will be $14.05
In conclusion, the correct option is A.
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Find the area of a circle with a diameter of 18 inches. Use 3.14 for pi.
Answer:
254.34
Step-by-step explanation:
A=pi*r^2
A=3.14*9^2
A=3.14*81
A=254.34
The school need to make $750 in order to cover all of their expenses.They estimate 200 students will come to the dance.If they made $150 from a fundraising bake sale what they need to charge per ticket to cover their cost?--
9514 1404 393
Answer:
$3
Step-by-step explanation:
The cost that hasn't been covered by bake sale proceeds is ...
$750 -150 = $600
If that cost is divided among 200 students, the amount each student needs to pay is ...
$600/(200 students) = $3/student
They need to charge $3 per ticket.
Solve for x.
x = [?]
5x - 7/. 3x + 27
Step-by-step explanation:
5x-7+3x+27=180
8x+20=180
8x=160
x=20°.
hope this helps you.
Answer:
[tex]5x - 7 + 3x + 27 = 180 \\ 5x + 3x + 27 - 7 = 180 \\ 8x + 20 = 180 \\ 8x = 180 - 20 \\ 8x = 160 \\ d \: b \: s \: by \: 8 \\ 8x \div 8 = 160 \div 8 \\ x = 20[/tex]
6. Han followed these instructions to make the image. a. Given line), mark 2 points on the line b. Construct congruent circles a and b centered at the points on ). c. Construct line e through the intersection points of a and b. d. Construct circle e centered at 1 intersection point of a and ó. Mark the 2 intersection points of d'and. e. Construct aangruent carcles Anand i centered at the points on g. Construcline through the intersection points of Anand Write a statement about each pair of lines in this construction. (3 statements) pls help
Three statements are as follows -
1. It is a straight line drawn with a straightedge and cuts across the lines.
2. Both drawn with the same compass width.
3. Corresponding parts of congruent triangles are congruent.
This construction works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
This is how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. It is called the 'angle copy method' because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles. It uses this in reverse - by creating two equal corresponding angles, it can create the parallel lines.
Hence the three statements of the image are -
It is a straight line drawn with a straightedge and cuts across the lines. Both drawn with the same compass width.
Corresponding parts of congruent triangles are congruent.
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Rhombus PQRS with vertices P(-1,-3), Q(3,-4), R(4,-8) and S(0,-7)
A)Translation along the vector (4,10)
B) 90 (degrees) counterclockwise rotation about the origin.
Serina and 2 friends go out for dinner. Their bill is $92.18. How much more would
they pay if they left a tip of 20% instead of a tip of 15%?
$9.22
$4.61
$6.91
$2.76
Answer:
$4.61
Step-by-step explanation:
To calculate a tip of 20%, you would perform the following:
$92.18 * 0.20 = $18.436
Similarly, for a tip of 15%:
$92.18 * 0.15 = $13.827
The difference would just be subtracting the two tip amounts from each other!
$18.436 - $13.827 = $4.609
Then you round to the nearest cent.
$4.609 ≈ $4.61
Josh bought seven boxes. A week later half of all his boxes were destroyed in a fire. There are now only 22 boxes left. With how many did he start? Please write an equation.
Answer:
Josh started out with 37 boxes.
Step-by-step explanation:
A cylinder with a radius of 10ft has a volume of 2, 198.0013
What is the height of the cylinder
Answer:
~7 ft
Step-by-step explanation:
2,198.0013 = pi × 10^2 × h
h = 2198.0013 / (3.1416 × 100)
h = 6.996 ft ~ 7 ft
Help with a b and c pleaseee I’ll give brainliest !
Answer:
b. 254.34
c. 3.33
that is the answer I suppose
your test is worth 100 points and theres 44 questions how many points is each question worth
Answer: ~ 2.27 points per question
Step-by-step explanation:
Want points/question.
So, we do 100 points / 44 questions
~ 2.27 points per question
Use logarithms to solve the equation for t. (Round your answer to two decimal places.)
2000/(1 + 6e−0.7t) = 1000
9514 1404 393
Answer:
2.56
Step-by-step explanation:
Multiply by (1+6e^(-.7t))/1000:
2000/1000 = 1 +6e^(-0.07t)
1 = 6e^(-0.07t) . . . . . . . . . subtract 1
e^(0.07t) = 6 . . . . . . . . . . multiply by e^(0.07t)
0.07t = ln(6) . . . . . . . . . take the natural log
t = ln(6)/0.07 . . . . . . . divide by the coefficient of t
t ≈ 2.55966 ≈ 2.56
The given diagram shows a construction completed using a straightedge and a compass.
B
À
E
The diagram shows the construction
If m ABC is 249, then m FDE is
Answer:
angle bisected of angle abc
24 degrees
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tell me if im right
What is the in minute taken to cover 8.1km at an average speed of 5m/s
9514 1404 393
Answer:
27 minutes
Step-by-step explanation:
The relevant relations are ...
1 min = 60 s
1 km = 1000 m
time = distance/speed
__
time = (8.1 km)×(1000 m)/(1 km)/(5 m/s)×(1 min/(60 s))
= (8.1×1000)/(5×60) min = 27 min
It takes 27 minutes to cover 8.1 km at a speed of 5 m/s.
Explain the steps for dividing decimals. Write three or four sentences.
Answer:
(assuming we're deciding decimals by decimals)
Dividing decimals is alot like regular decimal dividing. First, you must move the decimal places so it becomes a whole number. This makes it easier and less confusing as steps go on. Now we can divide regularly as we go on, making sure to put the amount of decimal spots we moved back in the answer.
Answer:
The first step is to make the divisor a whole number by multiplying it by a power of 10. When you multiply the divisor by a power of 10, you must multiply the dividend by the same power of 10. Then divide. Check your answer using estimation.
Step-by-step explanation:
When converted to a household measurement, 9 kilograms is approximately equal to a
What is 317.466 ounces or 19.8 pounds
1kg in household measurement is equal to 35.274 ounces.
So, 35.274*9= 317.466 ounces
317.466/16= 19.8 pounds
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
There are 18 students in sir Sam 4th PE class. Each student will be given 2 1/2 minutes to explain how to solve his word problem with fractions. How long it will take for all 18 students to explain their answers? (Show solutions)
Answer:
44
Step-by-step explanation:
18 * 2.5 = 44
the force (F) needed to cause the acceleration (a) of an object of mass, m, is given by the equation, F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , what is the object's mass? the unit for this mass is kg.
help me pls /ᐠ｡ꞈ｡ᐟ\
Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.
Step-by-step explanation:
If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg
What is Force?When a body tends to modify or change the state by an external cause, it is called Force.
Given:
F=ma
Where,
F = Force (N)
m = mass (kg)
a = acceleration (m/s²)
If
F = 12-Newton
m = 3 m/s²
a = ?
F = ma
12 = m × 3
12 = 3m
divide both sides by 3
m = 12/3
m = 4 kg
Therefore, the mass in kg of the objects is 4 kg
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Each big square below represents one whole. what percent is represented by the shaded area?
Answer:
175%
Hope this helps!
What is the least common denominator for the fractions 1/3and2/9?
Answer:
LCD= 9
Step-by-step explanation:
1/3 = 3/9
2/9 = 2/9
Is is possible to divide Pi aka : 3.14159
Answer:
If you WANT to divide pi, there is half a pi left.
Step-by-step explanation:
There are 2pi radians in a circle. So one quarter of the circle corresponds to half of pi (If you want to divide to get half of pi) . So it would then be: one quarter corresponds to a half.
(if that makes sense! sorry if it doesn't :\ )
150 miles on 4 gallons of gas. How many miles for 1 gallon of gas?
Answer: answered
A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1 mile is approximately 1.6 kilometers)
Step-by-step explanation:
Answer:37.5
Step-by-step explanation: