Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean[tex](\mu)[/tex] = 500 and a standard deviation[tex](\sigma)[/tex] = 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = [tex]\dfrac{Y-\mu}{\sigma}[/tex]
Z-score = [tex]\dfrac{625-500}{100}[/tex]
⇒ Z-score = [tex]\dfrac{125}{100}[/tex]
⇒Z-score =1.25
Therefore , the required z-score = 1.25
One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need in order to transport everyone to the zoo for a field trip?
Answer:
4
Step-by-step explanation:
29x5=145
= 145 (divided) 46= 3.15...
4 buses
Criteria are the goals that a design must achieve. They are determined by what you want the cup to do. Criteria for the volume of the cup compartments have been decided for you. The volume is expressed in four different units: Volume cubic centimeters milliliters fluid ounces cups cold pack 150 150 5 0.6 drink compartment 600 600 20 2.5 total 750 750 25 3.1 Although the volume is set, the shape of the cup is up to you. There are no right or wrong answers. Do you want your cup to be tall and skinny or short and wide
Answer:
Criteria for my Cup:
I want my cup to be short and wide.
Step-by-step explanation:
a) By the way, a cup can be measured in volume. There are no tall and skinny cups. They are not attributes of a cup. However, a cup can be short (height). It can also be wide, usually measured in diameter and radius.
b) Data:
Volume cubic centimeters milliliters fluid ounces cups
cold pack 150 150 5 0.6
drink compartment 600 600 20 2.5
total 750 750 25 3.1
Help pleaseeeeeeeeeee
Answer:
d
Step-by-step explanation:
Answer:
km/hr
Hope that helps! :)
Step-by-step explanation:
You have only quarters and dimes in your pocket. In total, you have 15 coins. The total value of all of these coins is $3.00. How many quarters and how many dimes do you have?
Answer: 10 quarters, 5 dimes.
Explanation:
10 x .25 = 2.50
5 x .10 = .50
2.50 + .50 = 3.00
What can you say about the end behavior of the function f(x) = -4x6+6x2 -52 ?
A. F(x)is an even function so both ends of the graph go in the same
direction.
B. f(x) is an even function so both ends of the graph go in opposite
directions
O C. The leading coefficient is negative so the left end of the graph
goes up.
D. The leading coefficient is negative so the left end of the graph
goes down
Answer:
A. F(x)is an even function so both ends of the graph go in the same direction.
D. The leading coefficient is negative so the left end of the graph goes down.
Step-by-step explanation:
Even function:
For every value of x, f(x) = f(-x)
In this question:
We are given the following function:
[tex]f(x) = -4x^6 + 6x^2 - 52[/tex]
Testing if it is even:
[tex]f(1) = -4(1)^6 + 6(1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
[tex]f(-1) = -4(-1)^6 + 6(-1)^2 - 52 = -4 + 6 - 52 = -50[/tex]
Since f(1) = f(-1), it is even.
Since it is even, both ends of the graph go in the same direction, so option A is correct, while option B is wrong.
Options C and D:
The leading coefficient, is -4(which multiplies x with the highest exponent). Since it is negative, it goes to negative infinity as x increases, that is, the left end goes down, and option D is correct while C is not.
Drag each capacity to match it to an equivalent capacity.
24 cups
1 gallon
16 fluid ounces
6 pints
Capacity
Equivalent Capacity
2 cups
96 ounces
12 pints
4 quarts
HELP ME
Answer:
2 cups ⇔ 16 fluid ounces 96 ounces ⇔ 6 pints 12 pints ⇔ 24 cups 4 quarts ⇔ 1 gallonAlso see attached
Answer:
Solution:
2 cups=16 fluid ounches
96 ounces=6pints
12 pints=24cups
4 quarts=1 gallon
Mrs. Soto is putting 3 tables together to make 1 long table with a total length of 250 centimeters. The first table has a length of 83 centimeters. The second table has a length of 0.9 meter. How many meters (m) long is the third table?
Hello. I hope this helps!
Let's set up an equation for this.
1st table = 83 cm
2nd table = 90 cm OR 0.9 m
3rd table = x
Total length = 250
Equation:
83 + 90 + x = 250
Now we'll solve the equation.
83 + 90 + x = 250
173 + x = 250
x = 250 - 173
x = 77 cm
HELP ME SOMEONE PLEASE :(
Answer: The answer is A.
Step-by-step explanation:
The formula for the area of circles:
A = πr^2
Plug in the radius
A = π8^2
A = π64
A = 201.06192983/ 201 (rounded)
Answer:
A
Step-by-step explanation:
The formula for area of a circle is πr^2. the radius is 7 so pie time 7 times 2 square equal ≈201
The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?
25
28
42
35
Answer:
35
Step-by-step explanation:
its the 4th step your welcome
20-25-30-35
56-49-42-35
Answer: 35 I got it correct on the quiz
Step-by-step explanation:
What is all the partial products for 3.4 x 1.2
Answer:
4.09
Step-by-step explanation:
Hope it helps. That is the answer
The partial product of 3.4 x 1.2 is (3 + 0.4) x (1 + 0.2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3.4 x 1.2
3.4 is equal to 3 + 0.4.
1.2 is equal to 1 + 0.2.
Now,
(3 + 0.4) x (1 + 0.2)
= 3 + 0.6 + 0.4 + 0.08
= 3 + 1 + 0.08
= 4 + 0.08
= 4.08
Thus,
3.4 x 1.2 is equal to (3 + 0.4) x (1 + 0.2).
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which statements are true about the trigonometric ratios of this triangle
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(30°) = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
sin(30°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
cos(60°) = [tex]\frac{BC}{AB}[/tex]
= [tex]\frac{11}{22}[/tex]
= [tex]\frac{1}{2}[/tex]
sin(60°) = = [tex]\frac{AC}{AB}[/tex]
= [tex]\frac{11\sqrt{3} }{22}[/tex]
= [tex]\frac{\sqrt{3}}{2}[/tex]
Options (1), (2), (3) and (4) are the correct options.
Find the average rate of change of y=log3 x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.
Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
The average rate of change is [tex]\frac{6}{25}[/tex]
What is rate of change over an interval?'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'
According to the given problem,
Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]
y = log3x
⇒ a= 1
b= 3
Therefore,
⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]
⇒ [tex]\frac{log9 - log3}{2}[/tex]
⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]
⇒ [tex]\frac{1}{2}[/tex] * log 3
⇒ [tex]\frac{6}{25}[/tex]
Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]
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If f(x)=9ex, find f(5) rounded to the nearest tenth.
Answer:
1335.7
Step-by-step explanation:
f(5)= 9e^x
Substitute x for 5 and solve
The value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 9eˣ
The equation is an exponential form , and the value of x is substituted in the equation
When the value of x is 5
The value of e = 2.7182
x = 5
So , substituting the value of x in f ( x ) , we get
f ( x ) = 9eˣ
f ( 5 ) = 9 x e⁵
Now , e⁵ = 148.4131
And ,
The equation f ( 5 ) = 9 x 148.4131
= 1335.718
≈ 1335.7
Hence , the value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
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Mrs Tay baked 45 cookies.
She gave of them to her friends.
How many cookies did she give her friends?
45
Answer:
15cookies
Step-by-step explanation:
Complete question:
Mrs Tay baked 45 cookies. She gave 1/3 of them to her friends. How many cookies did she give her friends?
Given the following
Total cookies = 45 cookies
Fraction of cookies given = 1/3
Amount she gave her friends= 1/3 * 45
Amount she gave her friends= 45/3
Amount she gave her friends= 15cookies
Hence she gave 15cookies to her friends
A) 121
B) 102
C) 141
D) 115
Answer:
121
Step-by-step explanation:
cause if its on the oppsite side its going to be the same number
HELP PLEASE , i need it asap
Answer:
x=5
∠ABD = 33
∠A = 115
Step-by-step explanation:
Once again here are the properties of a trapezoid:
Opposite angles are congruent
Opposite side lengths are congruent
And here is a property of a triangle:
the measure of the angles add up to equal 180
Given this information we need to find
x, ∠ABD and ∠A
First lets find x
Remember opposite side lengths are congruent
Segment AD and segment BC are opposite side lengths ( which are congruent)
That being said we create an equation to solve for x
2x = 10
step 1 divide each side by 2
2x/2=x
10/2=5
we're left with x = 5
Now lets find ∠A
∠C and ∠A are opposite angles
so ∠C≅∠A
Because ∠C = 115 ∠A also = 115
Finally lets find ∠ABD
because ∠BDC and ∠ABD are opposite angles we can find the measure of ∠BDC and get the value of ∠ABD
ΔBDC is a triangle formed within the parallelogram
That being said we can find the measure of ∠BDC using the triangle angle rule (stated previously)
That the measures of the angles in a triangle add up to equal 180
So we can find the missing angle (∠BDC) by subtracting the given angles ( which have a measure of 32 and 115) from 180
∠BDC = 180 - 32 - 115
180 - 32 - 115 = 33
so ∠BDC = 33
Meaning that ∠ABD also = 33
A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?
a. H0:β1=0 Ha:β1≠0
b. H0:β1=0 Ha:β1>0
c. H0:β1=0 Ha:β1<0
d. H0:β1≠0 Ha:β1=0
e. H0:b1=0 Ha:b1≠0
The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The correct hypotheses for testing the linear relationship between two variables can be stated as:
H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)
Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)
Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0
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please please i need help i will mark u brill
Answer:
106 - 8h = 34
Whenever a math question says "when h = 9," they mean you substitute this number where h is in the equation.
106 - 8(9) = 34
106 - 72 = 34
34 = 34
This means the fact that h = 9 is a solution for h.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Point Z is the incenter of triangle RST. Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A S Z is (5 x minus 9) degrees and angle Z S B is 16 degrees. What is the value of x? x = 2 x = 3
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
SZ is the angle bisector of angle S, so ...
∠ASZ = ∠ZSB
5x -9 = 16
5x = 25 . . . . . . add 9
x = 5 . . . . . . . . .divide by 5
Answer:
C
Step-by-step explanation:
mhm
Subtract the following complex numbers:
(4 + 4i) - (13 + 17i)
which number best represents the probability that an event is unlikely to occur?
A: 1.25
B: 0.50
C: 0.97
D: 0.05
Answer:
D: 0.05
Step-by-step explanation:
Since the question says UNLIKELY, it would be the smallest number, which is 0.05 in this case.
HELP ON BOTH HAVE 2 MINUTE'S LEFT. NO LINKS. I JUST NEED SIMPLE ANSWERS
Answer:
Q1: 48
Q2: 59
Step-by-step explanation:
Answer:
1. 48
2. 53
you can see that they are the same length as the one across from it so what the one across from it, is the answer
2/3 * n = 12
im not sure what this is please help
Answer:
n= 18
Step-by-step explanation:
:)
Answer:
18
Step-by-step explanation:
[tex]\frac{2}{3} *n=12\\\frac{2}{3} *n/\frac{2}{3} =12/\frac{2}{3} \\n=18[/tex]
can someone please explain how to do this?
Answer:
14)
tan θ = BC/AC = 9/13θ = arctan (9/13)θ = 34.7°15)
cos 45° = 14/xx = 14 / cos 45°x = 19.8Mrs Tay baked 45 cookies. She gave 5/9 of them to her friends. How many cookies did she give her friends?
Which table of values goes with the equation y = 3x ^2 + 1?
Answer:
the correct answer is table 2
Select all expressions that are equivalent to 7x + 4 - (2x - 5).
A: 7x + 4 - 2x -5
B: 7x + 4 - 2x + 5
C: 7x + 4 + (-2x) - (-5)
D: 9x + 9
E: 5x -1
F: 5x + 9
Answer:
B, C, F
Step-by-step explanation:
7x + 4 - (2x - 5) = 7x - 2x + 4 + 5 or 5x + 9
The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
the expression is :
7x + 4 - (2x - 5)
now, we have to simplify this to get the equivalent expressions.
so, we have,
7x + 4 - (2x - 5)
= 7x + 4 - 2x + 5
(Removing the brackets)
=7x + 4+ (-2x) - (-5)
= 7x + (-2x) +4 - (-5)
=5x +4 + 5
= 5x + 9
so, the equivalent expressions are, B,C,F.
Hence, The solution is, B: 7x + 4 - 2x + 5, C: 7x + 4 + (-2x) - (-5), F: 5x + 9, are the expressions that are equivalent to 7x + 4 - (2x - 5).
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which exprssion can we use to convert 40 ounces to pouds
Answer:
2.5
Step-by-step explanation:
40 ounces = 2 12 pounds
So, 40 ounces = 4016 = 2 12 or 2.5 pounds.
Hope this helps and sorry if it doesn't
Can I get brainliest
ANSWER THIS PLEASE!!!!
Answer:
J
Step-by-step explanation:
Done.
express(16^5)^1/4 in simplest radical form.
Answer:
32
Step-by-step explanation:
Hello, in (16^5)^1/4, you would multiply the exponents together like this:
16^5 x 1/4= 16^5/4
The exponents multiplied make 5/4. Now you need to multiply 16 with 5/4 like this:
16 x 5/4= 80/4
80 divided by 4 is 32 so therefore, the answer is 32.