Answer:
0.6856
Step-by-step explanation:
[tex]\text{The missing part of the question states that we should Note: that N(108,20) model to } \\ \\ \text{ } \text{approximate the distribution of weekly complaints).]}[/tex]
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution ([tex]\mu =[/tex]108, [tex]\sigma[/tex] = 20)
Using Z scores:
[tex]Z = \dfrac{77-108}{20} \\\\ Z = -\dfrac{35}{20} \\ \\ Z -1.75[/tex]
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
[tex]Z = \dfrac{120-108}{20} \\ \\ Z = \dfrac{12}{20}\\ \\ Z = 0.6[/tex]
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
The gardening club set a goal of raising at least $500
in flower sales. So far it has raised $415. How many
more dollars does the gardening club need to raise
to reach its goal?
Answer:
Nxnjsjdndkknnndnnnenndnnd
Answer:
85
Step-by-step explanation:
If you subtract 415 from 500 you get 85.
Therefore the gardening club needs 85$
If you could mark brailiest that would be great, I'm trying to rank up.
Hope I helped:)
HAve a great day:)
3. Which of the following is a polynomial with roots 4,6, and - 7
Answer: P(x)= x³ - 3 x² - 46 x +168
Step-by-step explanation:
(4,6, -7)
hence the polynomial will be equal to
P(x) = (x-4) (x-6) (x+7)
P(x) = (x-4) (x²+7 x -6 x -42)
P(x) = (x-4) (x²+x -42)
P(x) = x³ + x²-42 x -4 x² -4 x +168
P(x) = x³ - 3 x² - 46 x +168
hence, the required polynomial is P(x) = x³ - 3 x² - 46 x +168
Have a awesome day✨I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
micheal brought 12 used books at th book sale. he paid $42.60 for the books. if each book cost the same price, how much did one book cost
Answer:
Each book cost $3.55
Step-by-step explanation:
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:45
Step-by-step explanation:
[tex]\int\limits^1_0 {e^t^x} \, dx[/tex]
Answer:
all it says is the link
Step-by-step explanation:
Kate ran 6 miles. How far did she run in kilometers?
Answer:
9.65606
Step-by-step explanation:
a laptop is in the shape of a rectangular prism the laptop has a length of 30 cm and a width of 20 cm in a volume of 1800 cubic centmeters what is the height of the laptop?
PLEASE NO LINKKKKKKKKKKKKKKKKKS
Answer:
3 cm
Step-by-step explanation
1800 /30·20=3cm
Which value for x makes the sentence true? 1/35 + x = 1/7
A. 6/35
B. 1/28
C. 4/35
D. 1/21
WHATS THE ANSWER :(
These triangles are similar. The equation for line AB is given. What is the slope of CD?
Answer:
B
Step-by-step explanation:
You are selling tickets at a school play. Tickets cost $5 for adults and $2 for students. The night you are selling tickets you collect $165 from selling a total of 60 tickets. How many adults
and how many students bought tickets?
Answer:
15 adult, 45 student
Step-by-step explanation:
5x+2y=165
x+y=60
x = 60-y
300-5y+2y=165
-3y = -135
x= 15
y= 45
Help me please y’all please help!
9514 1404 393
Answer:
(c) 180 cm²
Step-by-step explanation:
Maybe you want the area of the trapezoid. That is given by the formula ...
A = (1/2)(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height.
Here, the top base is marked 16 cm, and the bottom base is shown as 4 cm longer, so is 20 cm.
A = (1/2)(16 cm +20 cm)(10 cm) = 180 cm²
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is believed that the machine is underfilling the bags. A 15 bag sample had a mean of 409 grams with a standard deviation of 22. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
We reject the null hypothesis, and accept the alternative hypothesis.
So, it means that the machine is under filling the bags
Step-by-step explanation:
Given
Null Hypothesis
[tex]H_0:\mu = 419[/tex] --- works correctly at 419g
Alternate Hypothesis
[tex]H_0:\mu < 419[/tex] --- under fills the bag
[tex]n =15[/tex] --- the sample
[tex]\bar x = 409[/tex] --- the mean
[tex]\sigma = 22[/tex] --- the standard deviation
[tex]\alpha = 0.05[/tex] --- the significance level
Required
What is the decision rule
Since n is less than 30, we make use of t test
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
[tex]t = \frac{409 - 419}{22/\sqrt{15}}[/tex]
[tex]t = \frac{-10}{22/ 3.87}[/tex]
[tex]t = \frac{-10}{5.58}[/tex]
[tex]t = -1.792[/tex]
Calculate df
[tex]df = n-1[/tex]
[tex]df = 15-1[/tex]
[tex]df = 14[/tex]
Calculate the p value from the Student's t-distribution at df = 14 and [tex]t = -1.792[/tex]
[tex]p =0.047[/tex]
Given that: [tex]\alpha = 0.05[/tex]
Since [tex]p < \alpha[/tex]
So, it means that the machine is under filling the bags
multiply 2.345 x 0.023
show your work please
Answer:
2.345×0.023
2.345..........3 decimal point
0.023........3 decimal point
2345
× 23 1. first we change it whole number for multiply.
···················· 2.count the decimal point.here 6 decimal points are there.
+ 7 0 3 5 3.we got the answer 53935.here only 5 digits are there.
4 6 9 0 0 4.now we add one zero backside 053935
····························5 . final answer is 0.053935
5 3 9 3 5
···························
answer is =0.053935
Step-by-step explanation:
What is the value of y?
Answer:
y = 25
Step-by-step explanation:
Hey There!
The angle labeled x is supplementary to the angle that is equal to 115 meaning that the sum of the two angles will add up to equal 180
so to find x we subtract 115 from 180
180-115=65 so x = 65
Now we can find y
remember the sum of the triangles angles add up to equal 180
so we subtract the given angles(90 and 65) from 180
180-90-65=25
so y = 25
Evaluate 2^9 (2 to the 9th power)
Answer:
512
Step-by-step explanation:
2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
A cube has a edge of 8 cm it is cur into two equal parts calculate the ratio of total surface area
Answer:
[tex]Ratio = 3: 2[/tex]
Step-by-step explanation:
Given
Shape: Cube
[tex]L = 8cm[/tex]
The surface area is calculated as:
[tex]Area = 6*L^2[/tex]
[tex]A_1 = 6*8^2[/tex]
[tex]A_1 = 384[/tex]
When it is cut by half; the length is affected; so, it forms a cuboid of the following dimension:
[tex]L = \frac{8}{2} = 4[/tex] --- Length
[tex]W = 8cm[/tex] --- Width
[tex]H = 8cm[/tex] --- Height
The surface area is:
[tex]Area = 2 *(L*W + H * L + W * H)[/tex]
[tex]A_2 = 2 *(4*8 + 8 *4 + 8 * 8)[/tex]
[tex]A_2 = 2 *128[/tex]
[tex]A_2 = 256[/tex]
So, the ratio of surface area is:
[tex]Ratio = A_1 : A_2[/tex]
[tex]Ratio = 384 : 256[/tex]
Divide by 128
[tex]Ratio = 384/128 : 256/128[/tex]
[tex]Ratio = 3: 2[/tex]
Which are ways to write 1/12 as a percent. Explain how you found your answer.
8 1/3%
12%
1.2%
8.4%
8.3¯¯¯%
1.12%
Question 2
First, find a way to write Response area as a fraction with a denominator of Response area. Because 12×Response area =100, multiply both the numerator and the denominator by Response area. Then write the result as a decimal number or a Response area number.
1)15% of what number is 6?
Answer:
40
Step-by-step explanation:
Answer:
40
to solve this question
let the unknown number be x
Then,. x * 15% = 6
x * 15/100 = 6
x = 6*100/15
c = 40
hope it helps
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
A car manufacturer provided information about two different car models
Car A
Car B
у
Gas
(gallons)
Distance
(miles)
0
0
Distance (miles)
350
300
250
200
150
100
50
60
vlund
100
140
X
0
1 2 3 4 5 6 7 8 9 10 11
Gas (gallons)
10
200
The graph and table each show a proportional relationship between the number of miles traveled and the advertised number of gallons of gas used for
the two car models, A and B, respectively
What is the unit rate of Car A?
miles per gallon
What is the unit rate of Car B?
miles per gallon
Answer:
Step-by-step explanation:use Slader if u have a textbook
A company has two manufacturing plants with daily production levels of 5x + 17 items and 3x - 4 items, respectively. The first plant produces how many more items daily than the second plant? The first plant produces more items daily than the second plant. (Simplify your answer.)
Answer:
2x + 21
Step-by-step explanation:
Given :
Plant 1 : production level) 5x + 17
Plant 2 : production level = 3x - 4
To how much more plant 1 produces than plant 2 ; subtract production of plant 2 from plant 1
(5x + 17) - (3x - 4)
Open the bracket
5x + 17 - 3x + 4
5x - 3x + 17 + 4
2x + 21
David drove 135 miles in 3 hours
Answer: 45 miles per hour
Step-by-step explanation:
Answer: if you are trying to find the hourly rate it's 45/hr. If your looking for minute rate it's .75/min. If you are looking for seconds rate it's .0125/sec
Step-by-step explanation: divide 135 by 3 for hourly rate. Divide 45 by 60 for minute rate. Divide .75 by 60 to to get seconds rate.
The graphs below have the same shape. What is the equation of the red
graph?
Round 7 3/8 to the nearest whole number?!?
Answer:
7
Step-by-step explanation:
Everything including 1/2 and above rounds up to the next whole number.
3/8 < 4/8
7 and 3/8 rounds to 7
Milly has a equal number of 20p coins and 50p coins . The value of her 20p coins is £2.80 . Work out the total value of her 20p and 50p coins
Answer:
£9.80
Step-by-step explanation:
The computation of the total value is shown below:
Given that
The value of 20p coins is £2.80
So the value of 50p would be
= £2.80 × 50 ÷ 20
= £7
Now the total value is
= £2.80 + £7
= £9.80
29. Write an equation of the line that passes through (1, -3) and has slope 2.
Welp plz
Answer:
y = 2x - 5
Step-by-step explanation:
use the formula y - y1 = m (x - x1)
Candice buys 2/8 of a container of roasted peanuts. Alan buys 2/3 of a container. Both containers are the same size. Candice says 2/8 is between 1/2 and 1, so she buys more peanuts than Alan. Is Candice correct? Explain.
Since my name is in this question, I'll answer it :)
Answer:
Yes, she's right.
Step-by-step explanation:
2/8 is simplified to 1/4. Between 1 and 1/2, it is 1/4. So yes, I (Candice) was right. :)
write a rule that tell how to use mental math to find the product 30,000 x 50,000
Answer:
1,500,000,000
Step-by-step explanation:
First multipy the first digits, which are the ones that do not contain zero.
then put all of the zeros at the end, so product will be 1,500,000,000 because their are 8 zeros in total
if you check with calculator, you get 1,500,000,000