Answer:
$2.39
Step-by-step explanation:
30/32* 2.55 = $2.39
The cost to drive 30 miles is $2.39.
Here,
Car gets 32 miles per gallon.
We have to find cost to drive 30 miles when gasoline cost 2.55.
What is Multiplication?
The multiplication of two numbers is called product.
Now,
Car gets 32 miles per gallon.
Cost to drive 30 miles when gasoline cost 2.55 is;
⇒ 30/32* 2.55 = $2.39
Hence, The cost to drive 30 miles is $2.39.
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Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard deviation of 486.9 and 24.01, respectively. What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk
Answer:
0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean and standard deviation of 486.9 and 24.01, respectively.
This means that [tex]\mu = 486.9, \sigma = 24.01[/tex]
What is the probability that on a given day the supermarket will sell between 477 and 525 gallons of milk?
This is the p-value of Z when X = 525 subtracted by the p-value of Z when X = 477.
X = 525
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{525 - 486.9}{24.01}[/tex]
[tex]Z = 1.59[/tex]
[tex]Z = 1.59[/tex] has a p-value of 0.9441
X = 477
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{477 - 486.9}{24.01}[/tex]
[tex]Z = -0.41[/tex]
[tex]Z = -0.41[/tex] has a p-value of 0.3409
0.9441 - 0.3409 = 0.6032
0.6032 = 60.32% probability that on a given day the supermarket will sell between 477 and 525 gallons of milk
Plz help me well mark brainliest if correct
Answer:
C) 86
Step-by-step explanation:
To find the mean you first add all of the numbers together. So you would add 75+90+84+95=344. Then you would divide the sum by the amount if numbers there are. So it would be 344÷4 =86
Hope this helped :)
Answer:
x = 75, 90 , 84, 95
[tex]Mean = \frac{ \sum x}{n}= \frac{75+90+84+95}{4} = 86[/tex]
Geometric sequences HELP ASAP!
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{560}{1120}[/tex]
[tex]r=0.5[/tex]
The nth term of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where a is the first term and r is the common ratio.
Putting [tex]a=1120, r=0.5[/tex], we get
[tex]a_n=1120(0.5)^{n-1}[/tex]
Therefore, the required formula for the given sequence is [tex]a_n=1120(0.5)^{n-1}[/tex].
We need to find the 10th term of the given sequence. So, substituting [tex]n=10[/tex] in the above formula.
[tex]a_{10}=1120(0.5)^{10-1}[/tex]
[tex]a_{10}=1120(0.5)^{9}[/tex]
[tex]a_{10}=1120(0.001953125)[/tex]
[tex]a_{10}=2.1875[/tex]
Therefore, the 10th term of the given sequence is 2.1875.
Write in standard form: 800,000 + 70,000 + 400 + 6
Answer:
870,406
Step-by-step explanation:
870,046
Hope this helps
Divide the following complex numbers:
(4-i)/(3+4i)
A.-8/7 + 19/7i
B. 16/25 - 19/25i
C. 8/25 - 19/25i
D. -16/7 + 19/7i
Answer:
C. 8/25 - 19/25i
Step-by-step explanation:
Given that:
[tex]\dfrac{4-i}{3+4i}[/tex]
[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]
[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]
[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]
A recipe for lemon bars uses 1 sticks of
butter. Ben wants to make 4 batches.
How many sticks of butter does Ben need
to make 4 batches of lemon bars?
If John starts with $85 and is spending $5 per week and Ashley has $35 and is saving $7 per week when will Ashley have more than John
Answer:
85-5=80 week 1
75= week 2
70=week 3
65=week 4
60=week 5
and so on.
Then Ashley
35+7=42 week 1
49=week 2
56=week 3
63= week 4
70=week 5
Step-by-step explanation:
Solve number 3 please, with explanation
Answer:
97,655
Step-by-step explanation:
5(5)^(n-1) = 78,125
5^n = 78,125
n = 7
=> S7 = 5(5^7 -1) / (5-1)
= 5/4 (78, 125 -1)
= 5/4 (78 124) = 97,655
Can anyone help me find the function for this trig graph ? i need a specific answer for the function , not just telling me how to find it . 80 pts
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
A line passes through the point (8,-4) and has a slope of 5/4
Answer:
y = 5/4x - 14
Step-by-step explanation:
Given:
Passes through (8, -4)
Slope (m) = 5/4
Slope-intercept equation:
y - y1 = m(x - x1)
y - (-4) = 5/4(x - 8)
y + 4 = 5/4x - 10
y = 5/4x - 14
The circle has a diameter of 20 cm. What is the Circumference? Use 3.14 for pi. Round to the hundredths place.
Answer:
62.83
Step-by-step explanation:
f(x) = x^2. what is g(x)?
Answer:
Option C
Step-by-step explanation:
I just graphed on my TI-84
Hope this helps!
Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode
The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.
What is mean?The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.
The data set is;
1,6,8,8,8
Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.
If the outlier is removed mean, range, and median will changes.
Hence options A, B and C are correct.
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Select the correct answer. describe the zeros of the graphed function
Answer:
The zeroes are at (-2, 0), (0, 0) and (2, 0).
The (0, 0) is a double root as the graph just touches the x axis at (0, 0).
The zero at (0, 0) is sometimes referred as x = 0 (multiplicity 2).
I think the duplicate roots are counted as 2 distinct roots but im not sure.
So the answer is either a or c.
Step-by-step explanation:
The zeroes are the points where the graph cuts the x axis.
Answer:
a
Step-by-step explanation:
. If you roll two dice, what is the probability of rolling a not rolling a
double with a sum greater than 7? Give answer as a fraction in simplest
form. *
Math- bbbbbbbbbbbbbbb
Answer:
b
Step-by-step explanation:
Answer:
B is the correct answer
Hope this helps!! :D
PLEASE I NEED HELP WITH THIS PROBLEM
Order the following numbers from least to greatest.
A. -12,-35,-23,58
B.-12,-35,58,-23
C.-23,-35,-12,58
D.-35,-23,-12,58
Explain how
Answer:
D. -35,-23,-12,58
Step-by-step explanation:
Image a line that goes to the negative, as well as the positives, -35 would be lower on that line
-35 -23 -12 0 12 23 35 58
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An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. She considers 6 different temperatures, 5 different pressures, and 4 different catalysts are under consideration.
a. If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible?
b. How many experimental runs are there that involve use of the lowest temperature and two lowest pressures?
c. Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?
Answer:
a) 120 possible experimental runs
b) 8 possible experimental runs
c) 0
Step-by-step explanation:
a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.
N = T × P × C
N = 6 × 5 × 4 = 120
b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.
N = T × P × C
N = 1 × 2 × 4 = 8
c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.
Help me on this question please. Thx
Use the graph to find the approximate solutions to the question.
please help with this question i will mark you brainliest !!
Answer: The equation is 25x + 100
Step-by-step explanation:
Problem 1
A right isosceles triangle has legs 6 meters long each. Find the length of the
hypotenuse to the nearest tenth of a meter.
Draw a picture
Solve the problem. Show your work!
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
can someone help me out pls i’ll give brainliest!
answer
three
explain hope this helps
A pyramid and a cone are both 10 centimeters tall and have the same
volume. What statement must be true about the two solids?
A. The vertical cross-sections of the pyramid and cone at the same
width must have the same area.
B. The cross-sections of the pyramid and cone are the same shape.
C. The area of the cross-sections of the pyramid and cone are
multiples of each other.
D. The horizontal cross-sections of the pyramid and cone at the
same height must have the same area.
Answer:
D the horizontal cross-section of the pyramid and cone at the same height must have the same area
A die is rolled 2 times. What is the probability of getting a 2 on the first roll and a 5 on the second roll?
Answer:
1/36
Step-by-step explanation:
the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.
So, 1/6 * 1/6 = 1/36
Hope this is helpful
Answer:
Step-by-step explanation:
six sided die gives you 6 possibilities
probability of rolling a 2 is 1/6
probability of rolling a 5 on the second roll is 1/6
Six more than quotient of 12 and a number
If Wolfgang’s Deli Shop needs 15lb of lettuce for an business, but can only use 90% due to spoilage and damage, how many lb should Wolfgang order for an evening’s business?
Answer:
13.5 pounds
Step-by-step explanation:
90% of 15 is 13.5 or if you need to round then 14 pounds of lettuce
Someone please Help!
The radius of a cylindrical water tank is 4 ft and its height is 10 ft. What is the volume of the tank?
Answer:
160π cubic feet
Step-by-step explanation:
V= πr²h
V= π x 4²x 10
V = 160π cubic feet
Micah buys 2 apples, what is the probability that one of the apples is bad
Answer:
1/2
Step-by-step explanation:
in one try, Micah will either pick 1 good apple or 1 bad apple, so the probability would be 1/2.