Answer: the weight of the package of crackers is 323.2 grams
Step-by-step explanation:
Since the weights of packages of crackers are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = weights of packages of crackers.
µ = mean weight
σ = standard deviation
From the information given,
µ = 340 grams
σ = 12 grams
The z score of the package is - 1.4
Therefore,
- 1.4 = (x - 340)/12
Cross multiplying by 12, it becomes
- 1.4 × 12 = x - 340
- 16.8 = x - 340
x = - 16.8 + 340
x = 323.2 grams
Lester's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 80 espressos in all, 80% of which were single-shot. How many single-shot espressos did the cafe sell?
Answer:
64 single-shot espressos
Step-by-step explanation:
Let's say that the cafe sold x single-shot espressos. The total number of espressos sold was 80, and 80% of that total 80 were single-shot. So, we have the equation:
x = 80% * 80
Remember that % just means "out of 100". So, 80% = 80/100:
x = (80/100) * 80 = 6400/100 = 64 single-shot espressos
Hope this helps!
Answer:
64
Step-by-step explanation:
80% of 80 were single-shots
80/100 × 80
64
Eighty-five percent of what number is 42.5?
A.
180
B.
36.125
C.
50
D.
30
Answer:
50
Step-by-step explanation:
Hope this helped
:)
I need help fast!!!!!!!!!!!!!!!!!!!!!
Answer:
(30,784) and (58,0),(2,0)
Step-by-step explanation:
The vertex is (30,784)
The X-intercept is (58,0),(2,0)
The Y-intercept is (0,-116)
which of the following statements about rotations are true? select all that apply
which is true regarding the system of equations 6x+2y=46 3x+y=23
Answer:
Step-by-step explanation:
hello :
the system is : 6x+2y=46
3x+y=23
if you multiply the second equation by : 2 you have 6x+2y =46(same first equation )
conclusion : the system have infinity solutions ( graphically same line)
conclusion :
MAY SOMEBODY HELP ME THANKS!
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 706.50 square feet? Use 3.14 for pi.
IM MARKING BRAINLIEST!!
Answer:
15 feet of water spread
Step-by-step explanation:
Area of the circular pattern is 706.50 sq. feet
Area = A = π r^2 = (3.14)* r^2
706.50 = (3.14)* r^2
r^2 = 706.50 / 3.14
r^2 = 706.50 / 3.14
r = root (225)
r = 15 feet
Answer:
15 feet
Step-by-step explanation:
The area of a circle is pi*r^2, and we're using 3.14 as pi, so we get: area= 3.14 r^2
We plug 706.50 into the equation and get:
706.50 = 3.14 r^2
Divide both sides by 3.14:
225 = r^2
Square root both sides:
15 = r
Regions $A, B, C, J$ and $K$ represent ponds. Logs leave pond $A$ and float down flumes (represented by arrows) to eventually end up in pond $B$ or pond $C$. On leaving a pond, the logs are equally likely to use any available exit flume. Logs can only float in the direction the arrow is pointing. What is the probability that a log in pond $A$ will end up in pond $B$?
Answer:
Step-by-step explanation:
1 1/5
Answer:
5/18
Step-by-step explanation:
There is a 1/3 chance of going to k. From K, there is a 1/2 chance of going to b, so that way has a prob of 1/6. By the same concept, there is a 1/9 chance of going to B via J. The prob you are asking for is 5/18
HELLPPP Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price of the sweatshirt is $78.25. What is the sale price of the sweatshirt?
Answer:
Her Original PRICE WAS $117.375
Step-by-step explanation:
If the sale price is 55% of the original price of the sweatshirt, the sale price is $78.25.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that, Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price of the sweatshirt is $78.25.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
The sale price of the sweatshirt is,
sale price = 55% of the current price
sale price =(55/100)× $78.25
sale price = $43.03
Thus, if the sale price is 55% of the original price of the sweatshirt, the sale price is $78.25.
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The middle schools baseball team the badgers won 20 games last year this year they won 22 games what is the percentage increase of games one from this year to last year
Answer:
The correct answer is 10%.
Step-by-step explanation:
The middle school's baseball team the badgers won 20 games last year.
This year they won 22 games.
Increase in the number of wins = 22 - 20 = 2.
We need to find the percentage increase of games as compared to the last year. That is given by dividing the increase in wins divided by the wins last year multiplied by 100.
Percentage increase as compared to the last years is given by [tex]\frac{2}{20}[/tex] × 100 = 10%
There is an increase of 10% in the number of wins in this year as compared to the last year.
Which of these is a correct expansion of (4x-2)(2x + 3)?
O A. 4x: 2x + 4x:3+ (-2): 2x + (-2): 3
O B. 4x. 27+ 4x• 3 + 2 + 2+ + 2-3
O c. 4x• 2x + (-2): 2x + 27.3+(-2) - 3
Answer:
C
Step-by-step explanation
You have to do the rainbow move which is basically multiplying
4x*2x, 4x*3, -2*2x, -2*3
which then simplified would equal to 8x^2+8x-6
The temperature on Sunday was -4 degrees Fahrenheit (ºF). The temperature on Monday was 9 degrees warmer than the temperature on Sunday. Was the temperature, in degrees Fahrenheit, positive or negative on Monday?
It would be 5 degrees Fahrenheit. It is a positive number.
Here are the weights, in pounds, of a sample of 13 adult female golden retriever dogs: 59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4. what are the degrees of freedom, and what's the critical value of t needed to construct a 95% confidence interval for the population mean weight of adult female golden retrievers? answer:
Answer:
95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].
Step-by-step explanation:
We are given that the weights, in pounds, of a sample of 13 adult female golden retriever dogs :
59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, and 57.4.
Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean weight = [tex]\frac{\sum X }{n}[/tex] = 54.9 pounds
s = sample standard deviation = [tex]\frac{\sum (X-\bar X)^{2} }{n-1}[/tex] = 3.12 pounds
n = sample of female = 13
[tex]\mu[/tex] = population mean weight
Here for constructing 95% confidence interval we have used One-sample t test statistics because we don't know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.179 < [tex]t_1_2[/tex] < 2.179) = 0.95 {As the critical value of t at 12 degree
of freedom are -2.179 & 2.179 with P = 2.5%}
P(-2.179 < [tex]\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.179) = 0.95
P( [tex]-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X -\mu}[/tex] < [tex]2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-2.179 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X +2.179 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [tex]\bar X \pm 2.179 \times {\frac{s}{\sqrt{n} } }[/tex]
= [ [tex]54.9 - 2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] , [tex]54.9 +2.179 \times {\frac{3.12}{\sqrt{13} } }[/tex] ]
= [53.01 pounds , 56.78 pounds]
Therefore, 95% confidence interval for the population mean weight of adult female golden retrievers is [53.01 pounds , 56.78 pounds].
1. What is the shape of the distribution below?
(a) The distribution is symmetrical
(b) The distribution is not symmetrical
Answer: A
Step-by-step explanation: Because you have a dot in the middle and it is very equal
Answer: the distribution is symmetrical.
Step-by-step explanation:
9. Bryce goes och for a walk. He walks 9/8 miles from home. He walks back 1/2
mile before meeting up with his friend Mya. Write and simplify an expression (a
sum) that describes this situation.
Answer:
Expression:
[tex]\frac{9}{8}+(-\frac{1}{2})=\frac{5}{8}[/tex]
Step-by-step explanation:
We are given that
Bryce traveled distance from his home=[tex]\frac{9}{8}miles[/tex]
Bryce traveled distance back=[tex]\frac{1}{2}miles[/tex]
We have to find the expression and then simplify.
According to question
Total distance traveled by Bryce
=[tex]\frac{9}{8}+(-\frac{1}{2})[/tex]
This is required expression.
Total distance traveled by Bryce=[tex]\frac{9-4}{8}=\frac{5}{8}miles[/tex]
Hence, the total distance traveled by Bryce from his home=[tex]\frac{5}{8}miles[/tex]
Final answer:
To find the total distance Bryce walked, we add 9/8 miles to 1/2 mile, which equals 13/8 miles or simplified to 1 5/8 miles.
Explanation:
Bryce initially walks 9/8 miles from home. On his way back, he walks 1/2 mile before meeting up with his friend Mya. To describe this situation with an expression and simplify it, we add these distances together:
Total distance walked = 9/8 miles + 1/2 mile
To simplify, find a common denominator (which in this case is 8), and then add the numerators:
Total distance walked = (9/8) + (4/8)
Total distance walked = (9 + 4) / 8
Total distance walked = 13/8
Total distance walked = 1 5/8 miles
This is the sum describing the distance Bryce walked before meeting Mya, which simplifies to 1 and 5/8 miles.
Factor out a GCF
[tex]3x^{2} +12x[/tex]
Answer:
3x(x+4)
Step-by-step explanation:
3x^2+12x
3x^2 = 3*x*x
12x = 2*2*3*x
We can factor out 3x
3x (x+2*2)
3x(x+4)
When a number is increased by 2.8%, the result is 56. What is the original number to
the nearest tenth?
Answer:
The original number was 54.5.
Step-by-step explanation:
If a number is increased by 2.8%, then it is 102.8% of it's original number.
In mathematics, "of" in virtually all cases means "multiplied by".
Therefore, we do the opposite:
1. Convert to a decimal.
102.8% = 1.028
2. Divide by the decimal.
[tex]56 \div 1.028 = 54.47[/tex]
3. Round it to the nearest tenth.
54.47 rounds to 54.5.
To find the original number when increased by 2.8%, we set up and solve an equation. The original number to the nearest tenth is approximately 54.4.
Explanation:To find the original number, we can set up the equation:
x + 0.028x = 56
Simplifying gives:
1.028x = 56
Dividing both sides by 1.028 gives:
x = 56 / 1.028 ≈ 54.41
So, the original number to the nearest tenth is approximately 54.4.
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Can someone please help with this?
Answer:
8 square units
Step-by-step explanation:
Draw vertical and horizontal lines, dividing the triangle into 9 equally sized smaller triangles. 4 of the smaller triangles are shaded, so the area of the square is 4/9 the area of the triangle.
A = 4/9 (½ (6)(6))
A = 8
Which expression is equivalent to the following complex fraction?
StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction
Answer:
(-2y+5x) / (3x - 2y)
Step-by-step explanation:
If we write this sentence, we have:
((-2/x) + (5/y)) / ((3/y) - (2/x))
If we do LCM in the denominators of each fraction, we have:
((-2y+5x)/xy) / ((3x - 2y)/xy)
We can cut the 'xy' in the numerator and denominator of the whole fraction:
(-2y+5x) / (3x - 2y)
The final expression we have is (-2y+5x) / (3x - 2y)
Answer:
a
Step-by-step explanation:
(-2y+5x) / (3x-2y)
HELP PLEASE!
Jackson runs around a track in the evening for exercise. How far does Jackson run each evening if he runs 3 times around the track shown in the diagram below? Round your answer to the nearest whole yard.
1042 I just took the test I can't remember if that is the right number but it is the largest number
Derek has a cylindrical water bottle with a diameter of 4 centimeters and a height of 15 centimeters. If he filled the water 3/4 full of water, how much water is in the water bottle?
Answer:
141 3/8
Step-by-step explanation:
First find the volume by multiplying pi, the radius squared, and the height. Pi is 3.14. The radius is half the diameter, so it would be 2. 2^2 is 4. The height is 15. 3.14*4*15=188.5 Then multiply 3/4 and 188.5 to get your answer. 141.375 or 141 3/8.
y= arctan(-4x) when dy/dx at x = 3
Answer:
200\cdot25-84\cdot\frac{91}{12-65}\cdot\frac{8412}{1.000}-2000000\cdot46512
Step-by-step explanation:=−9.30227818×1010
What is the ratio for relative frequency?
Relative frequency = StartFraction row total Over column total EndFraction
Relative frequency = StartFraction row total Over total count EndFraction
Relative frequency = StartFraction total count Over subtotal count EndFraction
Relative frequency = StartFraction subtotal count Over total count EndFraction
Answer:
Relative frequency= subtotal count - total count
Step-by-step explanation:
Answer:
D.Relative frequency= subtotal count / total count
Which expression is equivalent to 12x – 3x? *
8x
9
3(3x - x)
x(12-3)
Answer:
x(12-3)
Step-by-step explanation:
The expression given is equal to 9x. The only given answer equivalent to 9x is the last one, x(12-3).
Determine which pair of points has a positive slope.
A. (5, -4), (-2, 1)
B. (-10, -2), (6,6)
C. (6, -10), (2, 10)
D. (5, -1), (-6, 6)
y = 1/2x - 6
X = - 4
What is the solution to the system of equations?
titte
(-8, -4)
(-4,-8)
(-4,4)
(4,-4)
Step-by-step explanation:
Putting value of x
Y = 1/2 ( - 4) - 6
Y = - 2 - 6
Y = - 8
( - 4, - 8)
find the percent of change to nearest percent:56 to 80
Answer:
26 %
Step-by-step explanation:
you just go from 80 and count backwards all the way to 56 and count how many spaces or tally's that was and then you got your answer.
Circle A has a circumference of 8/3 m. Circle B has a diameter that is 3/2 times as long as Circle A’s diameter. What is the circumference of Circle B?
Answer:
the answer is 4
Step-by-step explanation:
if my calculations are right
June ran 1/4 of a mile in 3 minutes. How long will it take her to run a full mile?
Answer:
12 minutes !
Step-by-step explanation:
Hope this helps!!
Answer:
12 minutes
Step-by-step explanation:
3 x 4 = 12
4+4x8 100 points for whoever gets it right
Answer:
36
Step-by-step explanation:
4+4x8
Remember PEMDAS: We have to multiply first.
4+(4x8)
4x8 = 32. Now we add.
4+32 = 36
Answer:
The answer is 36
Step-by-step explanation:
4 X 8 = 32 +4 = 36
What is 9.22 × 103 in standard form
Answer:
=>9.4966×10^2
Step-by-step explanation:
9.22×103
=>949.66
in standard form
=>9.4966×10^2