Answer:
2 hours
Step-by-step explanation:
Pat is walking to a restaurant 6 blocks away. Pat has walked 2 blocks in 7 minutes. How many more minutes to reach the restaurant?
Answer:
14 minutes
Step-by-step explanation:
6÷2=3
3×7-7=21
The actual weight of a 2-pound sacks of salted peanuts is found to be normally distributed with a mean equal to 2.04 pounds and a standard deviation of 0.25 pounds. Given the information, the probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.
Answer:
False
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Mean equal to 2.04 pounds and a standard deviation of 0.25 pounds.
This means that [tex]\mu = 2.04, \sigma = 0.25[/tex]
The probability of a sack weighing more than 2.40 pounds is 0.4251. True or False.
We have to find 1 subtracted by the vpalue of Z when X = 2.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.4 - 2.04}{0.25}[/tex]
[tex]Z = 1.44[/tex]
[tex]Z = 1.44[/tex] has a pvalue of 0.9251
1 - 0.9251 = 0.0749
The probability is 0.0749, which means that the answer is False.
HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.
Answer:
20 happy to helPNMNJHUJN
Step-by-step explanation:
Mr. Conway is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the
roof, which is 20 feet high. The base of the ladder is 15 feet away from the house, where Mr. Conway's son is
holding it steady. How long is the ladder? Draw a picture and show your work.
Come up with a real-life situation that could
be represented by 10^5
Answer:
on the first day of picking apples Johny was told to pick 10. The day after that he was told to pick 10 times more than he picked yesterday.The day that after he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.The day after that he was told to pick 10 times more than he picked yesterday.
A produce box can hold no more than 25 pounds of potatoes.
a. Write and graph an inequality to represent this situation.
b. Is 9.8 a solution of the inequality?
Best answer get brainless
Select the null and the alternative hypotheses for the following claims:
a. "I am going to get the majority of the votes to win this election."
multiple choice 1
H0: μ = 0.50; HA: μ ≠ 0.50
H0: p ≤ 0.50; HA: p > 0.50
H0: p ≥ 0.50; HA: p < 0.50
b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."
multiple choice 2
H0: μ ≥ 10; HA: μ < 10
H0: p ≥ 10; HA: p < 10
H0: μ = 10; HA: μ ≠ 10
c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."
multiple choice 3
H0: μ = 250; HA: μ ≠ 250
H0: p ≤ 250; HA: p > 250
H0: p = 250; HA: p ≠ 250
Answer:
a. H0: p ≥ 0.50; HA: p < 0.50
b. H0: μ ≥ 10; HA: μ < 10
c. H0: μ = 250; HA: μ ≠ 250
Step-by-step explanation:
a. "I am going to get the majority of the votes to win this election."
This sentence means that the probability of winning is more than fifty percent or more than half.The null hypothesis would be
H0: the probability of winning is more than 50 %
against the claim that
Ha: the probability of winning is less than 50%
So the best choice would be option c
H0: p ≥ 0.50; HA: p < 0.50
b. "I suspect that your 10-inch pizzas are, on average, less than 10 inches in size."
The claim is that the pizzas are less than 10 inches in size.
which can be written as alternate hypothesis
Ha: u < 10
so the best choice would be option a
H0: μ ≥ 10; HA: μ < 10
c. "I will have to fine the company since its tablets do not contain an average of 250 mg of ibuprofen as advertised."
In this statement the claim is that an average of ibuprofen do not contain 250 mg as advertised.
the alternate hypothesis would be u ≠ 250 mg
Ha: μ ≠ 250 and the null hypothesis is the reverse of the aalternate hypothesis.
so the best option would be part a
H0: μ = 250; HA: μ ≠ 250
A bank loaned out $12,00, part of it at the rate of 9% per year and the rest at 19% per year. If the interest received in one year totaled $1,500, how much was loaned at 9%
Answer:
$7,800 was invested at 9% and $4,200 at 19%.
Step-by-step explanation:
Given that a bank loaned out $ 12,000, part of it at the rate of 9% per year and the rest at 19% per year, if the interest received in one year totaled $ 1,500, to determine how much was loaned at 9% the following calculation must be performed:
12,000 x 0.09 + 0 x 0.19 = 1,080
10,000 x 0.09 + 2,000 x 0.19 = 1,280
8,000 x 0.09 + 4,000 x 0.19 = 1,480
7,900 x 0.09 + 4,100 x 0.19 = 1,490
7,800 x 0.09 + 4,200 x 0.19 = 1,500
Thus, $ 7,800 was invested at 9% and $ 4,200 at 19%.
????????????????????
Answer:
I'm pretty sure its 28 cubic inches
Does all of these ordered pairs represent a function (-1,1), (3,11), (-4,-3), (-2,8), (0,5)
Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
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hope it helps
How to solve this using substitution
-7x+5y=-5
X-3y=-13
Given that f(x) = x2 + 1 and g(x) = -3, multiply the functions (gºf)(x).
A) (gºf)(x) = -3x2 - 3
B)(gºf)(x) = -3x2 + 3
C)(gºf)(x) = 3x2 + 3
D)(g. f)(x) = 3x2 - 3
Answer:
[tex](g\cdot f) = -3x^2-3[/tex]
Step-by-step explanation:
[tex]f(x) = x^2 + 1[/tex]
[tex]g(x) = -3[/tex]
The problem state to multiply the function [tex]f[/tex] and [tex]g[/tex] so the symbol seems to be incorrect.
We actually want to calculate
[tex]g(x) f(x) =gf(x) = (-3) \cdot (x^2+1)= -3x^2-3[/tex]
Note
[tex]g\circ f(x)=g(f(x))=g(x^2+1)=-3[/tex]
Solve for X round to 2 decimal place
Answer:
55.93°
Step-by-step explanation:
In this problem, we need to find the cos ratio of x, the ratio of the adjacent side of x to the hypotenuse.
The adjacent side of x is 14 and the hypotenuse is 25.
cos x=14/25=0.56=cos 55.93°
sprinter started his race slowly and then increased his speed by 14.8 miles per hour to reach a top speed of 23 miles per hour. What was the sprinter's speed before he increased his speed?
Answer:
8.2
Step-by-step explanation: i think its 8.2
i dont know tho
The sprinter's speed before he increased his speed is 8.2 miles per hour.
What is Speed?
Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Here, Change in Speed = 14.8 miles per hour
Top speed = 23 miles per hour
Actual old Speed = Top Speed - increased speed
= 23 - 14.8
= 8.2 miles per hour
Thus, the sprinter's speed before he increased his speed is 8.2 miles per hour.
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Let A={1,3,6,7} B={1,2,6,7} and C={3,6,7,9}
Find (AΠB)ΠC
Answer:
{(1,6,7)(6,7)
step by step
A intersect B is equally to (1,6,7) intersect B (6,7)
By how much is 11/3 and 11/5 less than 7
Answer:
Step-by-step explanation:
11/3 + (7 - 11/5)
LCM of 3 and 5 is 15 so we have
55/15 + (105/15 - 33/15)
= 160/15 - 33/15
= 127/15.
PLS HELP ME I WILL GIVE BRAINLIEST!
Topic: solving word problems involving linear equations in one variable .
If a number is added to 4 less than 5 times itself, the result is 27. Find the number.
Answer:
4-5x+x=27
Step-by-step explanation:
5x+x =27+4
=5x+x=31
x+x=31/5
2x=31/5
2x=6.2
x= 6.2/2
x=3.1
Bo is making a step stool for his bathroom sink that is shaped like a rectangular prism.
What is the total surface area of the step stool?
1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?
Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
The value of Surface Area of the cylinder is 245.04 cm².
What is Surface Area of a shape ?Surface area is the amount of space covering the outside of a three-dimensional shape.
It is given that the cylinder has
radius r = 3 cm
height h = 10 cm
volume V of the cylinder = πr²h = 282.74 cm³
the lateral surface area of a cylinder
L = 2πrh
lateral surface area L = 188.495559 cm²
the top and bottom surface area of a cylinder (2 circles):
T = B = πr²
top surface area T = 28.2743339 cm²
base surface area B = 28.2743339 cm²
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
total surface area A = 245.044227 cm²
total surface area A = 78 π cm²
Therefore the value of Surface Area of the cylinder is 245.04 cm².
To know more about Surface Area
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find the value of x
x<-1 and x>1
Answer:2
Step-by-step explanation: pretty simple, trust me :)
Sales tax charged for a wallet was $2.45. The tax rate is 0.05%. Find the cost of the wallet. Show your work, show all of your steps.
Answer:
50
Step-by-step explanation:
NEED HELP MY GRADE DEPENDS ON THIS!!!
Given that the lines are parallel, SHOW WORK to solve for x.
Plz help ASAP 20 points 5. In circle A, the length of arc BC is 20π units.
What is the length of the radius of circle A?
A. 24 units
B. 48π units
C. 10 units
D. 4v3 units
Answer: i think the answer is B or C sorry
Step-by-step explanation:
have a nice day
The length of the radius of circle A is 24 units. The correct answer would be an option (A).
What is an arc?The arc is a portion of the circumference of a circle. The circumference of a circle is the distance or perimeter around a circle.
As per the question, we have
Arc length BC = 20π units and θ = 150°
The formula for calculating the arc states that:
Arc length = 2πr (θ/360)
Where r = the radius of the circle,
π = pi = 3.14
θ = the angle (in degrees) subtended by an arc at the center of the circle.
Substitute the known values, and we get
20π = 2πr (150/360)
10 = r (5/12)
r = 120/5
r = 24
Thus, the length of the radius of circle A is 24 units.
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Х
49°
Xa
degrees
please help
Answer:
x = 139 degrees
Step-by-step explanation:
first, find what the missing interior angle is:
add the known angles:
90 + 49 = 139
subtract the sum from 180:
180 - 139 = 41
now to solve for x, take 180 and subtract 41:
180 - 41 = 139
x = 139 degrees
Lucy bought a couch that cost $1,000.00. she bought it using her debit card. She forgot she only has $900 in her checking account. What should lucy be worried about? 1) how much tax is included 2) discounts 3) nothing 4) overdraft fees
Answer:
4) overdraft fees
Step-by-step explanation:
if she now has a negative balance then she owes money to the couch store
Answer:
Overdraft fees
Step-by-step explanation:
An overdraft occurs when money is withdrawn in excess of what is on the current account. In this situation the account is said to be "overdrawn".
Megan wants to spend no more than $300 planning a party. She spent $75 on food and wants to buy decorations that are $10 each. How many decorations can she buy
Answer:
Step-by-step explanation:
10x + 75 ≤ 300
10x ≤ 225
x ≤ 22.50 on decorations
In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?
Answer:
278 votes
Step-by-step explanation:
[tex]2/3 * 417 = 278[/tex]
URGENT IM POSTING THE PICTURE AS TGE QUESTION
Answer:c
Step-by-step explanation:
app.nearpod.com
X +6= 14
2.
Help please and thanks
