Answer:
P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004
P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047
P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211
P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422
P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316
Check:
P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok
Step-by-step explanation:
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
Mindy wants to cover a rectangular section of her back yard with gravel. The length of the section is 7 meters and the width of the section is 6.5 meters. A garden in the rectangular section of her back yard with an area of 25 square meters will not be covered with gravel. How much area will Mindy need to consider when purchasing the gravel?
Answer:
20.5 m^2
Step-by-step explanation:
entire back yard area = 7 x 6.5 = 45.5 m^2
45.5 - 25 = 20.5 m^2
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
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
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
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
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:
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:
Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!
Answer:
382 cm²
Step-by-step explanation:
The shape can be decomposed into two rectangular prism or cuboids
✔️Dimension of prism 1 (smaller prism):
L = 10 cm
W = 3 cm
H = 7 - 4 = 3 cm
Surface area of prism 1 = 2(LW + LH + WH)
= 2(10*3 + 10*3 + 3*3)
= 2(69)
Surface area of prism 1 = 138 cm²
✔️Dimension of prism 2 (larger prism):
L = 10 cm
W = 8 cm
H = 4 cm
Surface area of prism = 2(LW + LH + WH)
= 2(10*8 + 10*4 + 8*4)
= 2(152)
Surface area of prism 2 = 304 cm²
✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)
= (138 + 304) - (2 × L × W)
= 442 - (2 × 10 × 3)
= 442 - 60
= 382 cm²
Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
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 :(
[tex]\int\limits^1_0 {e^t^x} \, dx[/tex]
Answer:
all it says is the link
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:
Cuantos megametros hay en ocho millones de metros ?
Answer:
1 megámetro = 1000000 metros
Step-by-step explanation:
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]
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. :)
Kate ran 6 miles. How far did she run in kilometers?
Answer:
9.65606
Step-by-step explanation:
PLEASE HELP THIS IS DUE SOON
A girl scout troupe baked a batch of cookies to sell at the annual bake sale. 1 point They made between 100 and 150 cookies. One fourth of the cookies were lemon crunch, and one fifth of the cookies were chocolate macadamia nut. What is the largest number of cookies the troop could have baked?
Answer:
150 cookies
Step-by-step explanation:
The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.
Hope this helps!
What is the greatest common factor of 138 and 345?
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
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)
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
The graphs below have the same shape. What is the equation of the red
graph?
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
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
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:)
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
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✨If a rectangular prism has a length, width, and height of 3/8 centimeter, centimeter, 5/8 and centimeter, 7/8 respectively, then the volume of the prism
is _____ cubic centimeter.
Answer:
3/8 x 5/8 x 7/8=105/512.
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: