Answer:
The z-score is 3.03.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 62[/tex]
The alternate hypotesis is:
[tex]H_{1} > 62[/tex]
The z-score is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics.
This means that [tex]n = 50[/tex]
Spencer wants to test the hypothesis that the private school students score better than the general public which has an average of 62 marks with a population standard deviation of 7 marks.
This means that [tex]\mu = 62, \sigma = 7[/tex]
If the sample mean is 65 marks, what is the z-score
This is z when [tex]X = 65[/tex]. So
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{65 - 62}{\frac{7}{\sqrt{50}}}[/tex]
[tex]z = 3.03[/tex]
The z-score is 3.03.
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=38°, and OM = 87 feet. Find the length of NO to the nearest tenth of a foot.
Answer:
111.4
Step-by-step explanation:
trust
What proves angle BDE is congruent to CDE. ∆ADB and ∆ADC are congruent.
Answer: We will use the SAS (SIDE-ANGLE-SIDE) to prove that the two triangles are congruent. This states that if two sides and the included angle in one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
First line
First column: AB is congruent to CB Second column: Given
Second line
First column: angle ABD is congruent to angle CBD Second column: Given
At this point we have the SIDE-ANGLE portion of SAS. We just need the other side. We can see from the given angles that they both share a side...BD.
Third Line
First column: BD is congruent to BD Second column: Reflexive property
All that is left is to state SAS.
Fourth Line
First Column: Triangle ABD is congruent to triangle CBD Second column: SAS (from lines 1,2,3)
A median of a triangle may fall outside the triangle.
Answer:
false
Step-by-step explanation:
I dont think I need to explain,
is 9.75 a rational number?
Answer:
yes, 9.75 is a rational number.A ball is thrown straight up into the air. The height of the ball t seconds after it is thrown is modeled by the equation h(t) = 48t – 16t2. After how many seconds will the ball hit the ground?
A. 1
B. 1.5
C. 3
D. 3.5
Answer:
b
Step-by-step explanation:
gravity
B
40
24
С
A
b
Find the length of “b” using
the Pythagorean Theorem.
Enter
Answer:
Look up Trigonometry Calculator and Put in the sides it helps a lot
Step-by-step explanation:
Preguntas e interpretación de resultados:
2
3 registrar datos en la tabla
Tipo de liquido Masa (g)
Agua
Vinagre
agua
vinagre
Acale
Botella plastica coh:
llenar las botellas con 250mL de líquido
medir la masa de cada botella con liquido
Aceite
Answer:
No le entiendo
Step-by-step explanation:
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)
{362- {6x3+(48/2) x2]}+3(9+4)
{362- {6x3+24 x2]}+3(9+4)
{362- 66+3(9+4)
{362- 66+3(9+4)
{296+3(13)}
(296+39)
335
hope this help you
have a good day
Answer:
290Step-by-step explanation:
Solving with one operation at each step:
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) ={362 – [63 + 24 x 2]} + 3(9 +4) =[362 – (63 + 48)] + 3(9 +4) =(362 – 111) + 3(9 +4) = 251 + 3(13) = 251 + 39 =29010 PONITS
Can someone help me
Answer:
1st step
Step-by-step explanation:
7/10 is greater than 1/2
Answer:
Step 1
Step-by-step explanation:
A train is traveling at a constant rate of 70 miles per hour.
How long will it take the train to travel 175 miles?
Answer:
2.5 hours
Step-by-step explanation:
Time is distance divided by speed.
Therefore, you'd have to do 175/70
175/70 = 2.5
Use the Distributive Property to correctly rewrite or simplify the expression:
21k+13k+9k
Answer:
21k+9k+13, and simplified into 43k.
Step-by-step explanation:
The distributive property means that you can put addends or factors in any order to get the same result(9+1=10, 1+9=10)
21k+13k+9k can be re-written into 21k+9k+13, and simplified into 43k.
Answer:
43k
Step-by-step explanation:
A cereal company packages there granola in cylindrical containers that have a diameter of 20 cm and a height of 17.4 cm. Approximately how much granola will a container hold?
A.348 cm^3
B.5,464 cm^3
C.174 cm^3
D.3,140 cm^3
Answer:
D
Step-by-step explanation:
what is 5+5
drop i.n.s.t.a for points
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Need help with this question please !!!
Answer: 27
Step-by-step explanation:
A manufacturing company has two retail outlets. It is known that 40% of all potentialcustomers buy products from outlet 1 alone, 35% buy from outlet 2 alone, and 10% buy fromboth 1 and 2. LetAdenote the event that a potential customer, randomly chosen, buys fromoutlet 1, and letBdenote the event that the customer buys from outlet 2. Suppose a potentialcustomer is chosen at random. For each of the following events, represent the eventsymbolically and then find its probability.
Required:
a. The customer buys from outlet 1.
b. The customer does not buy from outlet 2.
c. The customer does not buy from outlet 1 or does not buy from outlet 2.
d. The customer does not buy from outlet 1 and does not buy from outlet 2.
Answer:
[tex]P(A) = 0.50[/tex]
[tex]P(B') = 0.55[/tex]
[tex]P(A' U B') = 0.775[/tex]
[tex]P(A'B') = 0.275[/tex]
Step-by-step explanation:
Given
[tex]P(A\bar B) = 40\%[/tex] --- From outlet 1 alone
[tex]P(\bar A B) = 35\%[/tex] --- From outlet 2 alone
[tex]P(AB) = 10\%[/tex] --- From both
Solving (a): Buys from outlet 1;
This is represented as: P(A) and the solution is:
[tex]P(A) = P(A\bar B) + P(A B)[/tex]
[tex]P(A) = 40\% + 10\%[/tex]
[tex]P(A) = 50\%[/tex]
[tex]P(A) = 0.50[/tex]
Solving (b): Does not buy from outlet 2;
This is represented as: P(B') :
First, calculate the probability that the customer buys from 2
[tex]P(B) = P(\bar AB) + P(A B)[/tex]
[tex]P(B) = 35\% + 10\%[/tex]
[tex]P(B) = 45\%[/tex]
[tex]P(B) = 0.45[/tex]
Using the complement rule, we have:
[tex]P(B') = 1 - P(B)[/tex]
[tex]P(B') = 1 - 0.45[/tex]
[tex]P(B') = 0.55[/tex]
Solving (c): Does not buy from 1 or does not buy from 2
This is represented as: [tex]P(A' U B')[/tex]
And the solution is:
[tex]P(A' U B') = P(A') + P(B') - P(A'B')[/tex]
[tex]P(A' U B') = P(A') + P(B') - P(A') * P(B')[/tex]
Using complement rule:
[tex]P(A') = 1 - P(A)[/tex]
[tex]P(A') = 1 - 0.50[/tex]
[tex]P(A') = 0.50[/tex]
The equation becomes:
[tex]P(A' U B') = 0.50 + 0.55 - 0.50 * 0.55[/tex]
[tex]P(A' U B') = 0.775[/tex]
Solving (d): Does not buy from 1 or does not buy from 2
This is represented as:
[tex]P(A'B')[/tex]
And it is calculated as:
[tex]P(A'B') = P(A') * P(B)'[/tex]
[tex]P(A'B') = 0.50 * 0.55[/tex]
[tex]P(A'B') = 0.275[/tex]
Does anyone know how to do this???
Answer:
The school will approximately raise 1500p.
Step-by-step explanation:
For part a) you're asked to complete the possibility space, this simply means to fill out in the provided chart with all possible outcomes for spinning the two spinners and adding the result of each.
You are already given two examples, particularly the case of landing a 2 and 1 (hence you get a 3) and landing a 8 and 3 (hence you get an 11). Just finish filling up the chart per the examples.
For part b) we must calculate the probability of having the outcome be 7. Assuming all sides of both spinners have the same probability of landing, we calculate this using classical probability so, as follows:
[tex]P(7)=\frac{n(7)}{n(all)}[/tex]
Where [tex]P(7)[/tex] represents the probability of getting seven, [tex]n(7)[/tex] the number of ways the two spinners can land in which they add up to 7, and [tex]n(all)[/tex] the number of all possible outcomes from spinning the two spinners. We are just doing the rule of "all favorable outcomes over all outcomes".
The total number of outcomes is 12, as there's only 12 ways the two spinners could land. The total number of ways we can get 7 is 3 (only by spinning 1 and 6, or 2 and 5, or 3 and 4). So, the probability of landing 7 is:
[tex]P(7)=\frac{n(7)}{n(all)}=\frac{3}{12}=\frac{1}{4}=.25[/tex]
So, there's a 25% chance of getting a 7 (hence of winning at this game). This means, if 120 play, approximately a 25% of them will win - so, approximately 30 contestants will win.
The school is charging 20p for playing, so the 120 participants are paying 2400p. However, because approximately 30 people will win, the school will have to buy 30 lollipops that cost 30p each - so, at the end the school will raise approximately 2400p (total earnings of tickets) - 900p (total losses from people winning) = 1500p (total money raised).
workers are loading boxes onto a truck. So far, they have loaded 48 boves onto the truck. Acconding to their inventory, they still need to load 96% of the boxes on the truck. How many boxes do they need to load on the truck?
Answer:
1200 total boxes,
1152 more boxes need to be loaded
help me this is so hard for me
Answer: it’s the second
Step-by-step explanation:
HELP PLEASE
(Look at the picture)
A. 100
B. 130
C. 160
D. 200
E. 260
Answer: I think it B (130)
Step-by-step explanation: .........
What’s the answer to |-18|=
Answer:
18
Step-by-step explanation:
just take off the minus sign
Find the surface area of the solid below. Round to the nearest tenth if needed.
Answer:
1350
Step-by-step explanation:
Answer:
2400 ft²
Step-by-step explanation:
Base = 30x30=900
Next, we have to find the height of the triangles.
15²+20²=c²
225+400=c²
625=c²
c=√625
c=25
Now we can find the surface area of all 4 triangles.
4(1/2)(30)(25)=1500
900+1500= 2400 ft²
Assume that customers arriving at a DMV are requested to fill out an optional survey. Assume that one of the survey questions asks customers to rate the quality of the service provided at the DMV. Customers typically assess service quality on different dimensions. We highlighted some of these dimensions in BA270. These highlighted dimensions are:
Answer:
b. Timeliness, Assurance, Needs, Reliability and Empathy.
Step-by-step explanation:
The customer rating is necessary for a business to improve its performance. A company will be able to improve its customer service based on customer reviews and feedback. The feedback of the customers is important in terms of service provision whether they rate the company based on responsiveness to the queries, timeliness of query resolution and other similar criteria.
Parker ran 600 meters, 7 kilometers, and 1,000 centimeters.
How many meters did he run all together?
Answer:
7610 m
Step-by-step explanation:
600m = 600m
7km = 7000m
1000cm = 10m
The required distance = 600 + 7000 + 10 = 7610 m
6. Colocar V (verdadero) o F (falso) según corresponda.
a) El anterior de -8 es -7.
b) El siguiente de - 10 es - 9.
c) 1 y - 1 son números consecutivos.
d) El opuesto de 21 es 12.
e) 3 es 5 unidades mayor que - 2.
f) -4 es 3 unidades menor que - 1.
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
what is the answer to 82.25-4.25b
Answer: Look
Step-by-step explanation:
please solve the question. unit 10: circles homework 2: Central angles, arc measures, and arc length.
Answer:
Step-by-step explanation:
(9x-22) + 61 + (5x-7) + 34 = 360
14x = 294
x = 21°
:::::
arc GK = 9x-22 = 167°
:::::
arc HJ = 5x-7 = 98°
:::::
arc HGK = arc GK + 61 + 34 = 262°
:::::
arc GKJ = arc GK + 34 = 201‡
Angles in a circle add up to 360 degrees.
[tex]\mathbf{x = 21}[/tex][tex]\mathbf{GK = 167}[/tex][tex]\mathbf{HJ = 98}[/tex][tex]\mathbf{HGJ = 262}[/tex][tex]\mathbf{GKJ = 201}[/tex]The given parameters are:
[tex]\mathbf{GH = 61}[/tex]
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{JK = 34}[/tex]
[tex]\mathbf{KG = 9x - 22}[/tex]
The sum of angles in a circle is 360 degrees.
So, we have:
[tex]\mathbf{GH + HJ + JK + KG=360}[/tex]
So, we have:
[tex]\mathbf{(9x-22) + 61 + (5x-7) + 34 = 360}[/tex]
[tex]\mathbf{14x = 294}[/tex]
Divide both sides by 14
[tex]\mathbf{x = 21}[/tex]
GK is calculated as:
[tex]\mathbf{GK = 9x - 22}[/tex]
[tex]\mathbf{GK = 9 \times 21 - 22}[/tex]
[tex]\mathbf{GK = 167}[/tex]
HJ is calculated as:
[tex]\mathbf{HJ = 5x - 7}[/tex]
[tex]\mathbf{HJ = 5 \times 21 - 7}[/tex]
[tex]\mathbf{HJ = 98}[/tex]
HGJ is calculated as:
[tex]\mathbf{HGJ = HG + GK + KJ}[/tex]
[tex]\mathbf{HGJ = 61 + 167 + 34}[/tex]
[tex]\mathbf{HGJ = 262}[/tex]
GKJ is calculated as:
[tex]\mathbf{GKJ =GK + KJ}[/tex]
[tex]\mathbf{GKJ = 167 + 34}[/tex]
[tex]\mathbf{GKJ = 201}[/tex]
Read more about angles in a circle at:
https://brainly.com/question/12260532
I
216
Solve the linear equation.
9x - 9 = 5x + 19
x=-7
x = 7
x = 5
x = 2
Answer:
x=7
Step-by-step explanation:
9x-9=5x+19
Combine like terms
9x-5x=19+9
4x=19+9
4x=28
x=7
3^5 + 6^3 evaluate the expression
Answer:
459
Step-by-step explanation:
because 3^5 is 243 and 6^3 is 216 then add up 243+216=459
Find the radius or diameter of the circle with the given dimentions.
r = 21 ft
Answer Choices:
a. 50 ft
b. 42 ft
c. 131.9 ft
d. 10.5 ft
Answer:
b. 42
Step-by-step explanation:
Your trying to find the diameter since radius is r
diameter is always double of radius
help me
please and i give you points
Answer:
30-100
28-100
25-100
7-100
Step-by-step explanation:
It's hard to explain but I try
part in this means how many seeds we can place in those parts
and the whole it he whole amount of the part
hope that make sense