Answer:
a) 0.7734
Step-by-step explanation:
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.
In this question, we have that:
[tex]\mu = 101, \sigma = 24[/tex]
(a) what proportion of children aged 13 to 15 years old have scores on this test above 83 ?
This is 1 subtracted by the pvalue of Z when X = 83. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{83 - 101}{24}[/tex]
[tex]Z = -0.75[/tex]
[tex]Z = -0.75[/tex] has a pvalue of 0.2266
1 - 0.2266 = 0.7734
The answer is 0.7734
CJ's garden is surrounded by a uniform width walkway . The Garden and walkway together cover an area of 320 square feet . If the dimensions of the garden are 12 feet by 16 feet determine the width of the walkway?
HELP ME!!!!!!!!!!!!!!!!!PLEASE!!!!!!!!!!!!!
Answer:
the answer is 2ft
Step-by-step explanation:
I hope its right
Answer:
the walkway is 2 feet wide
Step-by-step explanation:
x=walkway width
(12+2x)(16+2x)=320
192+24x+32x+4x^2=320
simplify
4x^2+56x+192=320
4x^2+56x-128=0
divide by 4
x^2+14x-32=0
factor
(x+16)(x-2)=0
x=-16
x=2
Annie and lily share some money in the ratio of 2:3
Answer:
it would be 4:6
Step-by-step explanation:
It would be 4:6 because it is the same thing bu times 2
can u help my lil sis out plzzzzzzzz?
Answer:
x=5
Step-by-step explanation:
the equation in 4 + 6.5x <36.5, subtract 4 from 4 and from 36.5, this will get you 6.5x < 32.5, next divide 6.5x by 6.5 and do the same with 36.5 this will get you 5.61538461538, but you can simplify this to 5
Brainliest would be appreciated
Answer:
Give the other person brain thingy :)
Step-by-step explanation:
Kelly had2 3/4 qt of cooking oil. She used 2/5 of it to deep fry some fish. How much oil did she use
Answer:
answer is 3 3/20
Given:
A =
1 −1
−2 3
B =
1 5
8 −8
C =
1 2
3 4
Solve:
AX + B = C
Answer:
-5 3,
-5 6
Step-by-step explanation:
assignment on ed
-
TE
3
The students in one classroom sold tickets to the talent show They
sold 200% of the amount of tickets that they sold last year. If they
sold 40 tickets this year, how many did they sell last year?
(Worth 20 points)
Answer:The students in one classroom sold tickets to the talent show They
sold 200% of the amount of tickets that they sold last year. If they
sold 40 tickets this year, how many did they sell last year?
Step-by-step explanation:
Will I
Answer:
n = 20
Step-by-step explanation:
%p * n = m
200% * n = 40
n = 40 / 200
n = 40 / 2
n = 20
Look at the picture for answer choices
Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds):
7, 14, 6, 11, 13, 5
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.
Answer:
the median is 9,the mean is 9.3
Step-by-step explanation:
I need some help with this
Answer:
(3) Median
Step-by-step explanation:
I would say median because it most likely wouldn't be any of the others. Mean would be thrown off with the outlier 0.80. Mode wouldn't really work for this. I don't think standard deviation would work because this isn't coninuous data.
Hope it helps and is correct!
What is the value of
56÷37?
56÷37?
Answer:
exact form is 56/37
decimal form is 1.513
mixed number form is 1 19/37
Step-by-step explanation:
How so you solve -5r+2r is greater than 54
Answer:
r < -18
Step-by-step explanation:
-5r+2r is greater than 54 can be written symbolically as:
-5r+2r > 54
Combining the r terms, we get:
-3r > 54
Solving this result for r requires reversing the direction of the inequality sign:
r < -54/3, or r < -18
Answer:
r < -18
Step-by-step explanation:
[tex]-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\\frac{-3r>54}{-3}\\\\\boxed{r<-18}\\\\[/tex]
We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.
Hope this helps.
Consider the graph of the function f(x) = e^x
Answer:
The y intercept is positive 1 because that's where the graph crosses the y axis.
Answer:
Horizontal Asymptote of y= -7
Step-by-step explanation:
16. A photograph is reduced to 75% of its original size. The photo was originally 96 squaro Inches. What is
the now area after it has boon reduced?
Answer:
mom clock usualli a h i j o
Combine Like Terms 18f + 30fx Will Give Brainliest to correct answer
Answer: 6f (3+5x)
Step-by-step explanation:
18f + 30fx by its gcf
Answer:
6f(5x+3)
Step-by-step explanation:
18f+30fx
Factor out 6.
6(3f+5fx)
Consider 3f+5fx. Factor out f.
f(3+5x)
Rewrite the complete factored expression.
6f(5x+3)
An account earns annual simple interest. Find the balance of the account.
$5,000 at 6% for 9 months.
Answer:
$7700
Step-by-step explanation:
As the account earns 6% interest, if we find 6% of $5000 we get $300, the interest is simple and given every month, meaning you get $2700 in interest as $300 x 9 months = $2700
$5000 initial + $2700 interest = $7700
EDIT:
It could be that the interest is 6% yearly, which means that yearly you get 6% interest, and the answer is $5225.
6% interest is $300 per year
$300÷12= $25 per month
$25 x 9 months = $225
$5000 initial plus $225 interest = $5225 total
GIVING BRAINLIEST TO BEST ANSWER!!
How can you tell if a relationship is nonproportional? Select all that apply.
is the same for all ordered pairs.
is NOT the same for all ordered pairs
The graph does NOT go through the point (0,0
The graph goes through the point (0,0).
Answer:
is NOT the same for all ordered pairs
The graph does NOT go through the point (0,0
Step-by-step explanation:
TRUST me
What is the area of this triangle?
A=bh2
54 cm²
90 cm²
108 m²
216 m²
I will give brainlest and 5/5 stars to the first person I see
Answer:
area = 1/2 *base* height
= 1/2 * 12* 9
= 54 cm^2
right triangle...
Hope this helps...
I need Help with this problem
Answer:
x - 6 = 36 solution is 42 because 42 - 6 = 36
Step-by-step explanation:
Division Keyword: Divided by, or Quotient of.
Multiplication Keyword: Product of, or Multiplied by.
Subtraction Keyword: Subtracted from, or Decreased by.
Addition Keyword: Added to, or Increased by.
If there is no Variable then place the common Variables: X, Y, Z.
Find the total surface area of this prism.
Answer:
63
Step-by-step explanation:
[tex]15m^{2}[/tex]
Hope this helps!! plz mark brainliest??
f(x)=2x+5 find the interval where the function is increasing
Brianna had a garden Box that is 8' by 12' this summer she decided that it is too big and wants to reduce it by a scale factor of 1/2 find the area of her new garden
Given:
Brianna had a garden Box that is 8' by 12'.
She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].
To find:
The area of her new garden.
Solution:
Let the length and width of the original garden are 8 ft by 12 ft respectively.
Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].
Length of the new garden is
[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]
Width of the new garden is
[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]
Now, the area of the new garden is
[tex]Area=Length\times Width[/tex]
[tex]Area=(4)\times (6)[/tex]
[tex]Area=24[/tex]
Therefore, the area of the new garden is 24 sq. ft.
A six sided number cube is tossed five times and each time the number 3 is rolled. If the cube is tossed one more time, what is the probability the number 2 will appear?
Answer:
1/6
Step-by-step explanation:
Every time you roll a die, there's a 1 in 6 chance that you're gonna roll any given number on the die
Select all expressions that are equal to 64 3/2
Answer:
(c)512 because64 times 1.5 equal 512.
Step-by-step explanation:
(c) 512
(b) 8 to the third power
(E) √64 to the third power
all of these equal 512
The equivalent expression to [tex]64^{3/2[/tex] is 8³, 512 and √64³.
What is exponent and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
The number of times a number is multiplied by itself is defined by the exponent. A mathematical term called the power illustrates the repeated multiplication of the same integer or factor.
Given:
[tex]64^{3/2[/tex]
Now, we know that 64 is square of 8.
so, [tex]64^{3/2[/tex]= [tex](8^2)^{3/2[/tex]
= 8³
= 512
So, the equivalent expression to [tex]64^{3/2[/tex] is 8³, 512 and √64³
Learn more about exponent and power here:
https://brainly.com/question/15722035
#SPJ5
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
1. Find the coordinates of the centroid of the triangle with the given vertices.
A(2,3), B(8, 1), C(5,7)
The centroid is ( , )
9514 1404 393
Answer:
(5, 3 2/3)
Step-by-step explanation:
The centroid is the average of the vertex coordinates:
(A +B +C)/3 = ((2, 3) +(8, 1) +(5, 7))/3 = (2+8+5, 3+1+7)/3 = (5, 3 2/3)
Answer:
46940064
Step-by-step explanation:
1)
The angle of inclination is the angle between the horizontal and the ramp.
Using the sine ratio in the right triangle formed by the ground and the ramp
let x be the angle of inclination, then
sinx = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{0.7}{4.2}
4.2
0.7
, then
x = sin^{-1}sin
−1
(\frac{0.7}{4.2}
4.2
0.7
) ≈ 10° ( to the nearest degree )
(2)
Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.
let y be the height of the kite and x the horizontal distance, then
sin27° = \frac{opposite}{hypotenuse}
hypotenuse
opposite
= \frac{y}{176}
176
y
( multiply both sides by 176 )
176 × sin27° = y , then
y ≈ 80m ( to the nearest metre ) ← height of kite
and
cos27° = \frac{adjacent}{hypotenuse}
hypotenuse
adjacent
= \frac{x}{176}
176
x
( multiply both sides by 176 )
176 × cos27° = x , then
x ≈ 157m ( to the nearest metre ) ← horizontal distance
I need this quick pls.
Answer:
8/3
Step-by-step explanation:
Slope is rise/run. The rise here is 8. The run is 3. The line rises left to right so the slope is positive.
Hope it helps!
Sue is making a square blanket. She has 169 square feet of fabric for the blanket. How long will one side measure when she completes the blanket?
Answer:
13
Step-by-step explanation:
Area = 169
Square Blanket Area = 169
What quadrilateral has one diagonal bisected y the other.
Answer:
kite
A quadrilateral is a kite if: one diagonal bisects the vertex angles through which it passes, or. one diagonal is the perpendicular bisector of the other diagonal.
Step-by-step explanation:
not %sure
please help me please i really need help please
Answer:
There are a total of 24 players and 4 teams.
Please let me have brainliest :)
Solve each single-step equation. Show your work. a -2 + 3 = -2
Answer:
a=−3
Step-by-step explanation:
a−2+3=−2
Step 1: Simplify both sides of the equation.
a−2+3=−2
a+−2+3=−2
(a)+(−2+3)=−2(Combine Like Terms)
a+1=−2
a+1=−2
Step 2: Subtract 1 from both sides.
a+1−1=−2−1
a=−3