Answer:
The value of the test statistic is [tex]t = -1.61[/tex]
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
A publisher reports that 52% of their readers own a laptop.
This means that [tex]\mu = 0.52[/tex]
Sample of 180:
Means that [tex]n = 180[/tex]
By the Central Limit Theorem:
[tex]\frac{\sigma}{\sqrt{n}} = s = \sqrt{\frac{0.52*0.48}{180}} = 0.0372[/tex]
A random sample of 180 found that 46% of the readers owned a laptop.
This means that [tex]X = 0.46[/tex]
Find the value of the test statistic.
[tex]t = \frac{X - \mu}{s}[/tex]
[tex]t = \frac{0.46 - 0.52}{0.0372}[/tex]
[tex]t = -1.61[/tex]
The value of the test statistic is [tex]t = -1.61[/tex]
Use the Distributive Property to evaluate each expression.
1. 3(5 + 6) =
2. (6 + 4)(-12) =
3-619 - 4) =
Answer:
1. 33
2. -120
3. -623
Step-by-step explanation:
You do what is in the parenthesis and then multiply that by the number outside.
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. SAS
D. None, not congruent
SAS is the postulate that establishes the congruence of these two triangles.
What is meant by triangle?The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the three sides' end-to-end connections at a point. 180 degrees is the sum of the triangle's three angles. According to the Angle-Side-Angle Postulate (ASA), if two angles from one triangle and its included side are congruent with two angles from another triangle and its included side, then the two triangles are congruent. Three sides and three vertices make up a triangle, which is a polygon. There is a 180 degree angle created inside the triangle. In other words, a triangle's internal angles add up to 180 degrees.To learn more about triangle, refer to:
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Lucilla wondered what the average weight of each grapefruit was in a five-pound bag of grapefruits. She purchased six bags and calculated the average weight for a single grapefruit in each bag. Bag of Grapefruits Average Grapefruit Weight (oz) 1 7.1 2 6.9 3 7.3 4 7.6 5 8.1 6 7.5 Using her results, a grapefruit from a five-pound bag of grapefruits should weigh between 7.3 oz and 7.6 oz. 7.1 oz and 7.5 oz. 6.9 oz and 8.1 oz. 7.1 oz and 7.6 oz.
The data collected by Lucilla is as follows:
7.1 oz
6.9 oz
7.3 oz
7.6 oz
8.1 oz
7.5 oz
What is Range?The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.
We need to put this data in order, this will give us:
6.9 , 7.1 , 7.3 , 7.5 , 7.6 and 8.1
We have
smallest value is 6.9 oz
largest value is 8.1 oz
all other values fall in this range
Therefore, the weight of an orange based on her calculations is between 6.9 oz and 8.1 oz
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Answer:
6.9 and 8nd 8.1 or C
Step-by-step explanation:
Commercial dredging operations in ancient rivers occasionally uncover archaeological artifacts of great importance. One such artifact is Bronze Age spearheads recovered from ancient rivers in Ireland. A recent study gave the following information regarding discoveries of ancient bronze spearheads in Irish rivers.
River Bann Black water Erne Shannon Barrow
No of spearcheads 25 7 15 33 14
Required:
a. Make a Pareto chart for these data.
b. Make a circle graph for these data.
Answer:
Please find the attached file for the solution:
Step-by-step explanation:
Pls answer this for brainly
Answer:
54
Step-by-step explanation:
x-1=3
2xy=24
3+24=27
27·2=54
Answer:
54
Step-by-step explanation:
9. If the perimeter of an isosceles triangle is 83 cm. and its base is 23 cm. Find the measure of its equal sides.
10. The perimeter of a rhombus is 5.6 cm. Find its side.
11. The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of the
rectangle is 26 m. What is its breadth ?
12. What is the cost of fencing a rectangular field of length 16 m and breadth 11 m at the rate of 12 per m.
Please solve all questions..step by step.
9.
Q:-If the perimeter of an isosceles triangle is 83 cm. and its base is 23 cm. Find the measure of its equal sides.
Answer:- As we know that Perimeter is the sum of all sides.
Let the both side be x83 = 23 + (x + x)83 - 23 = 2x60 = 2x30 = xOther two sides are 30 cm.
10.The perimeter of a rhombus is 5.6 cm. Find its side.
Answer:- As we know that
Side of Rhombus = Perimeter/4
Side = 5.6/4Side = 1.4 cmSide is 1.4 cm11.The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of the
The perimeter of a rectangle is equal to that of a square with side 17 m. If the length of therectangle is 26 m. What is its breadth ?
Answer:- Perimeter of square = 4 × s
Perimeter = 4 × 17Perimeter = 68 cmNow,
Perimeter of rectangle = 2(l + b)68 = 2(26 + b)68/2 = 26 + b34 = 26 + b34 - 26 = b8 = bb=812.What is the cost of fencing a rectangular field of length 16 m and breadth 11 m at the rate of 12 per m.
Answer:- Perimeter = 2(l + b)
Perimeter = 2(16 + 11)Perimeter = 2(27)Perimeter = 54 cmNow,
Total cost = 54 × 12Total cost = ₹648.[tex]\begin{gathered} \\ \end{gathered}[/tex]
celery
celery
celery
celery
celery
Answer:
d, 3 5/8
Step-by-step explanation:
198 woman to 110 men in the simplest form
Answer:
1 4/5
Step-by-step explanation:
198 woman to 110 is basically a ratio, so we should put it like this: 198:110
Now, a ratio that needs to be simplified is basically a fraction, so: 198/110
Now we divide the fraction.
First, find the GCF of both numbers.
The GCF of 198 and 110 are both 22.
Now we divide, and we get 9/5, and we turn it into a mixed number, 1 4/5.
Let C = total cost, and t = number of t-shirts. Using the following equation C = 4t + 160, how much will it cost for 30 t-shirts?
Answer:
$280
Step-by-step explanation:
4(30)+160
120+160
280
Answer:
280 (see below)
Step-by-step explanation:
If C = total cost and t = number of t-shirts, then for 30 shirts, plug the amount of shirts into the variable for shirts in the equation given:
C = 4t + 160
C = 4 (30) + 160
C = 120 + 160
C = 280
Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the equations that represent this situation.
Answer:
Step-by-step explanation:
You would have to divide 34.5 and 5 to be able to find out what each pencil measurement the answer is 6.9.
3 Times Square root of 200 simplified
Answer:
C. [tex]30\sqrt{2}[/tex]
I hope this helps!
The simplified form of expression 3 times the square root of 200 is 30√2 ( thirty times square root 2 ) .
To simplify the expression 3 times the square root of 200, we can break it down into smaller components .
First, let's simplify the square root of 200 :
√ 200 = √ ( 100 × 2 ) = √ 100 × √ 2 = 10√2
Now, we substitute this simplified value back into the original expression :
3 × √ 200 = 3 × ( 10√ 2 ) = 30√ 2
Therefore, the simplified form of 3 times the square root of 200 is 30√2 .
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What lines are perpendicular to 3x+6y=5
Answer:
u means that to make the equations
Answer:
the line on the point 1.2 and 4.5
Step-by-step explanation:
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
What is the area of the triangle?
2
2
units2
Answer:
2
Step-by-step explanation:
you just multiply
Factorise 9a3 b + ba2
Answer:
[tex]a(9 {a}^{2} b + ba)[/tex]
hope it's helpful ❤❤❤❤❤❤❤
THANK YOU.
A truck carries 40 bags of avocados to a local supermarket. If each bag weighs 8.65 pounds, what is the total weight of avocados taken to the supermarket?
Answer:
346pounds
Step-by-step explanation:
40×8.65=346pounds
Jerry takes trail mix on hikes. A package of dried apricots weighs 74 ounces. A package of sunflower seeds weighs 60 ounces. Jerry divides the apricots and seeds equally among 8 bags of trail mix.
i dum please help
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Evaluate the expression when b=2 .
b⋅5 =
Answer:
Step-by-step explanation:
given, b=2
now,
=b.5
=2.5
=10
Will mark brainliest!!!
Solve for x
Answer:
31.88
Step-by-step explanation:
You will use cos, which is adjacent/hypotenuse
cos(15)=x/33
0.97=x/33
31.88=x
Which system of equations has the same solution as the system of
equations shown below?
6x + 2y = 10
8x + 4y = 12
Answer:
b
Step-by-step explanation:
that's what my teacher said.
6x + 2y = 10 and -4x=-8 system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
6x+2y=10..(1)
2y=10-6x...(2)
We need to find system of equation which having same solutions as above.
From equation (2)
y=5-3x
Now substitute y value in equation 1.
8x+4(5-3x)=12
8x+20-12x=12
-4x=12-20
-4x=-8
Hence, 6x + 2y = 10 and -4x=-8 system of equations has the same solution as the system of equations 6x + 2y = 10 and 8x + 4y = 12
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Due in 3 minutes Need help ASAP
Will mark you brainlist
Answer:
I think it's 10 gallons less than Evan
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
4976÷4=1244
8÷4=2
1244 pounds and 2 ounces.
Answer:
1244 pounds 2 ounces
Step-by-step explanation:
1. Turn everything into ounces. (1 pound is 16 ounces)
4976 x 16 = 79616
2. Add
79616 + 8 = 79624
3. Divide
79624 divided by 4 = 19906
4. Convert it to pounds
19906 divided by 16 = 1244 remainder of 2
5. Get the answer
1244 pounds 2 ounces
Two lines have the equations:
2x + 3y = 15 and
3x – 2y = 3
Solve these equations simultaneously to find the point of intersection of the lines.
What is the measure of angle KLM
Answer:
In triangle KLM, the measure of angle K is 119 degrees, KL=23, and KM=20.
The measurement of the angle KLM is 64°.
What is an angle?An angle is a geometrical shape that is formed by two rays or lines, called the sides or arms of the angle, that share a common endpoint, called the vertex of the angle.
Given is a figure, we need to find the measurement of ∠KLM,
Here,
∠KLM + ∠KLJ = 180° [linear pair]
20x+4 + ∠KLJ = 180°
∠KLJ = 176-20x
Consider the triangle, KLJ,
∠KLJ + ∠KJL + ∠JKL = 180° [sum of the interior angles of a Δ)
8x+18+6x+4+176-20x = 180°
-6x = -18
x = 3
So, ∠KLM = 20(3)+4 = 64°
Hence, the measurement of the angle KLM is 64°.
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I really need help on this question.!
Answer:
[tex]60 + 55 + x + 20 = 180 \\ x + 135 = 180 \\ x = 180 - 135 \\ x = 45[/tex]
10cm 3mm - 4.8cm
I do not understand that well can someone please help no need to explain
Answer:
60mm or 6cm
Step-by-step explanation:
108mm - 48mm = 60mm
D) 5. Which situation can be represented by 3s = 5s– 6?
Answer:
zzzzzolcialmmmmed1a
Step-by-step explanation:
z0mb13br41n5f1r3k1n6
I'm BEGGING you. plz help. I will mark you brainliest. I have an image attached with the question.
Answer:
start by mulitplying ten 5 times so 10x10x10x10x10=100,000. then multiply 100,000x3.8=380,000. and then times 300 so your ancwer is 114,000,000
Step-by-step explanation:hope it helps
when time in hours (t) increases, how does distance in km (d) change?
Question seems incomplete but will be explained with assumptions
Answer and explanation:
If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on
We can apply the formula for distance as such:
Distance(d)= Speed(s) × time(t)
d=st
Where d is distance travelled say 60km
S is speed= 30km/hr
Time = 2 hrs
Also to calculate speed when distance and time is given, we can make speed the subject of the formula:
s=d/t
To calculate time when distance and speed are given, we can make time the subject of the formula:
t=d/s
Find the area of the shaded sector. Leave your answer in terms of π.
a. 3π ft2
b. 32π ft2
c. 18π ft2