The weights of adult polar bears, the largest bear species in North America, have a mean of 950 pounds and standard
deviation of 84 pounds. What is the weight of a polar bear that has a z-score for weight of -1.50?
Find the Z-table here.
O 126 pounds
O 824 pounds
948.5 pounds
O 951.5 pounds
O 1,076 pounds
The weight of 824 pounds of a polar bear has a z-score of -1.50.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 950, σ = 84
For z = -1.50:
[tex]-1.50=\frac{x-950}{84}\\\\x-950=-126\\\\x=824[/tex]
The weight of 824 pounds of a polar bear has a z-score of -1.50.
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If a number has 8 as a factor, then both 2 and 4 are factors
Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true
Luke has 75 Vbucks in his account he spends 5 Vbucks every 2 hours. At this rate how many hours did it take for all 75 V bucks to be drained from his account?
Answer:
30
Step-by-step explanation:
i did the math lol
Answer:
Can I have some vbucks?
EASY MATH QUESTION pls help asap
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults
Answer:
b 16 adult is - 40 people end of day
Lincln Middle School plans to collect more than 2,000 cans of food in a food drive. So far, 688 cans have been collected. Write and solve an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Which two-step inequality represents this situation?
The price of an item has risen to $152 today. Yesterday it was $95. Find the percentage increase.
Answer:
60% increase
Step-by-step explanation:
152 - 95 = -57
57 / 95 = 0.6
0.6 x 100 = 60
6+z=10
p-5=15
4+m=12
y-4=19
b-17=12
3=d+2
Please Show your Work
Answer:
z=4 p=20 m=8 y=23 b=29 d=1
Step-by-step explanation:
You do the reverse to find out what the variable(hidden #) is
z because 10-6=4
p because 15+5=20
m because 12-4=8
y because 19+4=23
b because 12+17=29
d because 3-2=1
If this is wrong I'm sorry.
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when she saw you she died from diabetes
3 out of 25 cookies are oatmeal . What percent of oatmeal are not oatmeal
Answer:
88%
Step-by-step explanation:
You can do this pretty easily because percent is just decimals where the decimal is moved 2 units to the right.
Since the base is 25, and 3 of them are oatmeal, you can multiply by 4/4 to get a base of 100, to make this a lot easier.
3 / 25 = x / 100
3 x 4 = 12
12/100 are oatmeal.
Since you don't want the oatmeal, you subtract 100 by 12 to find the remaining of 88.
Answer:
88%
Step-by-step explanation:
1) 25-3=22 not oatmeal
2) proportion: 22/25 = x/100
cross multiply and divide
22x100 = 2200
2200/25 = 88
88%
1. Kim's age is three times that of her sister. When you add Kim's age to her sister's age, you get 48. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (1 point) (b) Solve the equation from Part (a). Show your work. (4 points)
Answer:
3k=48
Step-by-step explanation:
k=kim's age
3k=48
/3
k=16
What is the area of triangle ABC? pls help i need to pass this test!!
Answer:
Step-by-step explanation:
HELPP! PICTURE ATTACHED
find f(2)
Answer:
f(2) = Unidentified
Step-by-step explanation:
f(2) = ((2) +4)^2/(2)^2+2(2)-8
We can simplify the equation and get 36/4+4-8. After we simplify that we get 36/0. Since we have 0 as our denominator we know that our whole answer is unidentifiable.
Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?
Answer:
1.25 miles or 5/4
Step-by-step explanation:
Take the two distances and add them together and simplify.
Answer: 1 & 1/4 mile
Explanation:
1/2 = 2/4
She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.
The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,
5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4
This shape is broken up into rectangles. What is the area of the
entire shape?
Answer:
38inch2
Step-by-step explanation:
3inch*2inch+8inch*4inch
=6inch2+32inch2
=38inch2
A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 200 bacteria that grow at a rate of 2% per hour. He will check on the bacteria every 7 hours. How many bacteria will he find in 7 hours? Round your answer to the nearest whole number.
The population of the bacteria after 7 hours is 230 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 200 bacteria, hence
a = 200
The bacteria grow at a rate of 2% per hour, hence:
b = 100% + 2% = 1.02
The exponential equation becomes:
y = 200(1.02)ˣ
After 7 hours:
y = 200(1.02)⁷ = 230
The population of the bacteria after 7 hours is 230 bacteria.
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Rewrite each of the following terms as an extended product. Consider carefully your order of operations and remember that exponents come before multiplication. You do not need to simplify the products.
#a
[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]
#f
[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]
A baseball player on a professional baseball team has 207 hits in 575 at-bats. What
is the ratio of hits to at-bats? Choose the correct answer in the most simplified
form:
Answer:
9/25
Step-by-step explanation:
find a number that both the top and bottom are divisible by,
23 is the greatest common division we can make such that the top and bottom remain whole numbers
so,
[tex]\frac{207 }{575}[/tex] ÷23
=(207/23)÷(575/23)
=[tex]\frac{9}{25}[/tex]
A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
What is the position of the scuba diver relative to sea level?Choose from the drop-down menu to correctly complete the statement.
The scuba diver is
Choose... 13,21,64,72
feet
Choose... above or below
sea level.
Answer:
21 above is the answer
Step-by-step explanation:
Find the value of the expression
Answer:
20
Step-by-step explanation:
t=1
u=2
t+8+u+8+1=1+8+2+8+1=20
expand the function f(x)=(x+5)^3
The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125
How to expand the function?The function in the equation is given as
f(x) = (x+5)^3
Rewrite this function properly
So, we have the following representation
f(x) = (x + 5)³
Solving further, we need to expand the expression into factors
So, we have the following representation
f(x) = (x + 5)(x + 5)(x + 5)
Next, we expand the first two brackets in the equation
This gives
f(x) = (x² + 5x + 5x + 25)(x + 5)
Evaluate the like terms
This gives
f(x) = (x² + 10x + 25)(x + 5)
Solving further, we need to expand the last two brackets
So, we have the following representation
f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)
Evaluate the like terms
This gives
f(x) = (x³ + 15x² + 75x + 125)
Remove the brackets
So, we have
f(x) = x³ + 15x² + 75x + 125
Hence, the function is f(x) = x³ + 15x² + 75x + 125
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What is the sum of £4(0.5) "1?
n=1
O S=1.5
OS = 2
O S = 4.5
O S= 8
Find the slope of the line through (1, 2) and (- 9,7).
Step-by-step explanation:
formula y2-y1 / x2-x1
m = 5 / -10 = 1 / -2 = -0.5
17. Solve for x: 3xyz = P (MAFS.912. A-
CED.1.4)
a. x = P-3-y-z
b. x = P - 3yz
P
C. X =
3yz
a
d. x = P + y + 3 + z
3xyz = P
xyz = P/3
xy = P/3z
x = P/3yz
Answer is not there in the options.....but it's correct.
____
Hope it helps ⚜
y-2=-2/1(x-4) in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
y-2=-2/1(x-4)
y-2=2x-8
+2 +2
y=2x-6
Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? How much does each entrance ticket cost? $
The cost of the entrance ticket is $6.
The equation that can be used to represent the information in the question is:
Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)
$81 = 9t + ($3 x 9)
$81 =9t + $27
In order to determine the value of t, the following steps would be taken:
Combine similar terms
$81 - $27 = 9t
Subtract similar terms
54 = 9t
Divide both sides of the equation by 9
t = $6
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HELP ME PLS
Ursula has fraction 1 over 2 cup of butter. She uses fraction 1 over 4 cup of butter to make a batch of brownies.
Part A: How many batches of brownies can Ursula make with fraction 1 over 2 cup of butter? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of brownies that Ursula can make with fraction 1 over 2 cup of butter. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. (6 points)
Answer:
i think its 1/2
Step-by-step explanation:
Answer:
A. 1/2
1 over 2 is equal to 1/2
B. 1/2 Batch
Can somebody help me as soon as possible I’ll give brainliest
(-3,5) (3,7)
What is the slope of AB ?
twin oaks soccer field is a rectangle. The longer side of the field is 108 yards long. The shorter side is 56 yards long. What is the perimeter of the field?
Answer:
P = 328 yards
Step-by-step explanation:
formula is P= 2l + 2w
[tex]p = 2(108) + 2(56) \\ = 216 + 112 \\ = 328 \: yards[/tex]
Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amount in his account after three years?
A. $1830
B. $1860
C. $5024
D. $1524