Answer:
D. 2x² + 10x - 2
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Length = x² + 3x - 2
Width = 2x + 1
Perimeter = 2(x² + 3x - 2 + 2x + 1)
Perimeter = 2(x² + 5x - 1)
Perimeter = 2(x²) + 2(5x) - 2(1)
Perimeter = 2x² + 10x - 2
A math quiz has 10 questions and is scored out of 100. Each question is worth the same. The function S(q) represents the quiz score, S, in terms of the number of correctly answered questions, 2-
Determine whether each statement below is true or false. Select True or False for each statement.
True False
Sla) represents a quantity that changes at a constant rate per unit interval.
Sla) represents a quantity that changes at a constant percent rate per unit interval
S[9) represents a linear function
S(a) represents an exponential function
Answer: S(q) represents a quantity that changes at a constant rate per unit interval is true and S(q) represents a linear function is true. The rest is false. Hope this helps
Step-by-step explanation:
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 4959 miles, with a standard deviation of 448.If he is correct, what is the probability that the mean of a sample of 43 cars would differ from the population mean by less than111 miles? Round your answer to four decimal places.
Answer:
0.8958
Step-by-step explanation:
Given that:
The mean [tex]\mu[/tex] = 4959
The standard deviation [tex]\sigma[/tex] = 448
The sample size n = 43
[tex]\mu_{\overline x} = \mu = 4959[/tex]
[tex]\sigma __{\overline x}} = \dfrac{\sigma}{\sqrt{n}}= \dfrac{448}{\sqrt{43}}[/tex]
By applying the central limit theorem;
[tex]\overline X \sim N \bigg( \mu_{\overline x} = 4959 , \sigma_{\overline x} = \dfrac{448}{\sqrt{43}}\bigg )[/tex]
The purpose of this question is to calculate the probability that the mean of a sample of 43 cars would differ from the population mean by less than111 miles.
This implies that;
[tex]P( |\mu-\overline x| <111) = p( 4959-111 < \overline X < 4959 +111)[/tex]
[tex]= P( 4848 < \overline X < 5070)[/tex]
[tex]= P \bigg ( \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} < Z < \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{4848 -4959 }{ \dfrac{448}{\sqrt{43}}} < Z < \dfrac{5070 -4959 }{ \dfrac{448}{\sqrt{43}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{-111 }{ 68.319} < Z < \dfrac{111 }{68.319} \bigg )[/tex]
[tex]= P ( -1.6247< Z < 1.6247 )[/tex]
= P ( Z < 1.627 ) - P(Z < -1.627)
From the standard normal tables
= 0.94791 -0.05208
= 0.89583
≅ 0.8958 to four decimal places.
The sum of two numbers is 58. The difference between the same two numbers is 6. Find the two numbers, and then find the PRODUCT of the two numbers.
Answer:
26 and 32 are the two numbers, the product is 832
how to find the sale price of an item that has been discounted 25%
Answer:
Multiply the normal price of the item by .25 and then subtract that from the normal price.
Step-by-step explanation
[tex]x -(x*.25)[/tex]
x is the item
Step-by-step explanation:
100%-25%= discounted price= 75%
You do the discounted price divided by 75 to find 1%
do that times 100 to find the pre-discounted price.
e.g
find the original price of a sweater when it was on sale of 25%. the sale price is £15.00.
£15.00 = 75%
15.00 divided by 75 = 1% =£0.20
£0.20 x 100 = pre-sale price = £20.00
The price of the sweater before the sale is £20.00.
You are welcome xx
To begin solving this system of linear equations by elimination , you can add the equations . x + 4y = 38 5x - 4y = -30 8x = 8 This step works because of the distributive property B. multiplication property of equality C. commutative property D. addition property of equality
Answer: D. Addition property of equality
Step-by-step explanation:
If you scale an object with a scale factor greater than one it will get bigger.
True or False.
equation 6x + 8y = 24. Determine the slope, y-intercept, and x-intercept and illustrate how you found each of these. Finally, explain what they represent in your word problem.
Answer:
slope is -6/8, y-int is 3, x-int is 4, this is found by setting the other variable to 0 and dividing -6 by 8 when you subtract 6x from the left side
Step-by-step explanation:
The slope is -3/4, y- intercept is 3 and x- intercept is 4.
What is 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. LHS = RHS is a common mathematical formula.
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:
Equation: 6x+ 8y= 24
As, the slope intercept form is
y = mx+ b
where m is the slope, b is the y- intercept.
Now, 6x+ 8y = 24
8y = 24- 6x
y = 24/8 - 6x/8
y = 3 - 3x /4
Thus, the slope is -3/4, y- intercept is 3.
Now, for x- intercept put y= 0
0 =3- 3x/4
3= 3x/4
x= 3 (4/3)
x= 4
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
Which symbols correctly relate the two numbers
39 ? 39
Answer:
=
Step-by-step explanation:
Answer:
39=39
Step-by-step explanation:
because it is the same number so it equals each other
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality.
Answer:
$7.35
Step-by-step explanation:
Let cost of blanket be $x
10x + 1.50 ≤ 75
10x ≤ 73.50
x ≤ 7.35
therefore, maximum amount for each blanket is $7.35
2 Please help!
Geometry is hard!
Answer:
A
Step-by-step explanation:
If you pull up a graph you can more accurately see it, I just did it in my head
what is 23 plus 5?? pls help me ASAP
n/4 + 1 =5 how do I solve this and show my work
Answer:
n=16
Step-by-step explanation:
n/4 + 1 = 5
inverse operations, (subtract the one from both sides)
n/4 = 4
inverse operations, multiply by 4 on both sides, (you're isolating the variable)
n = 16
PLEASEE HELPPPP PLEASEE thiss IS FOR MY FRIEND I BEGG YOUUU PLEASEEE
Answer:
Step-by-step explanation:
Why are you asking? Why isn't your friend?
The diagram assumes that the angle on the lower left of the triangle is a right angle. If it is not, then I don't think there is a way that this can be solved.
Tan(A) = opposite / adjacent
opposite = 7
Adjacent = 4
Tan(A) = 7/4 = 1.75
A = inverseTan (1.75)
A = 60.60 degrees
Last minute Help me out please and thank you
Answer:
10-132-×/÷647 answer hai bro
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
Lee has 3 dog walking customers. Each month he gains another customer. Which arithmetic sequence represents the number of customers he has?
Group of answer choices
a1 = 3; an = an-1 + 1
a1 = 1; an = an-1 + 3
a1 = 1; an = an+1 + 3
a1 = 3; an = an+1 + 1
Given:
Lee has 3 dog walking customers.
Each month he gains another customer.
To find:
The arithmetic sequence that represents the number of customers he has.
Solution:
Initial number of customers = 3
First term : [tex]a_1=3[/tex]
Each month he gains another customer.
Common difference : [tex]d=1[/tex]
Recursive formula of an AP is
[tex]a_n=a_{n-1}+d[/tex]
where, d is common difference.
Substituting d=1, we get
[tex]a_n=a_{n-1}+1[/tex]
So, the required arithmetic sequence is [tex]a_n=a_{n-1}+1[/tex], where [tex]a_1=3[/tex].
Therefore, the correct option is A.
9.81 rounded to the nearest 10th is what?
Answer:
9.80
Step-by-step explanation:
Find X (Show Your Work)
WILL MARK BRAINLIEST!
Answer:
its 8 cause 2 times x is 40 40+-40= 0 so 2 times 4 is 8
Step-by-step explanation:
Pls answer this! I will give you Brainliest!!!
Answer:
angle 3
Step-by-step explanation:
because a supplementary angle is an angle that equals 180 or just a straight line.
Answer:
its the one with 2
Step-by-step explanation:
I need the correct answer please!!!
Answer: 2² * 3=12 1,2,3,4,6,12.
A.
Step-by-step explanation: One such number should have 1,2,4,8,16,32 as factors. So 32 is one such number. Swapping 16 with 3,we have 2² * 3=12 1,2,3,4,6,12.
Answer:
IM JUST ANSWERING SO YOU CAN GIVE THE OTHER GUY BRAINLIEST :) UR WELCOME
oof caps
Step-by-step explanation:
Please answer!!!!!!!!!!!!!
Please help. Brainliest to correct answer.
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 520 hours. Find the probability of a bulb lasting for at most 576 hours. Round your answer to four decimal places.
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
HELP PLEASE!!!!
Describe two ways to find the distance between
two points on a Coordinate Plane.
PLEASE HELP ME IM MARKING ANSWER BRAINLIEST RIGHT NOW!!Mr. Youngbear buys T-shirts in boxes
of 20 for $80 per box. He sells the
T-shirts for $6 each. How much profit
has he made after selling 93 T-shirts?
Step-by-step explanation:
1. Ok so first we need to figure out how many boxes of shirts he bought. In each box there are 20 shirts and he sold 93. So if we round it, he bought about 100 T-shirts. 100 ÷ 20 = 5. So he bought 5 boxes of shirts.
2. Next we need to figure out how much he spent on the shirts. 5*80=400. So he spent $400 dollars on the shirts.
3. We need to find out the amount of money he made from selling the shirts. 6*93=558
4. We need to find the profit so you subtract the total expenses from the total revenue. 558-400= 158. So the profit is $158
Answer: Mr. Youngbear made 158 dollars worth of profit after selling 93 T-shirts.
(I dont know if this is correct, but I hope I was able to help!)
10 raise to power2 - 11 raise to power 2 + 4raise to power2
Answer:
-5
Step-by-step explanation:
100 - 121 + 16
Power of 2 just means to multiply the number by iteself. So 10×10, 11×11, 4×4.
1
How many – cup servings of ice cream are in 3 cups of ice cream?
4
Answer:
well.......................................3 cups are in a cup serving
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
factorise al+am+bl+bm
Step-by-step explanation:
bring the common ones together
al +bl +am +bm
l(a+b) +m(a+b)
(l+m) (a+b)
CAN ANYONE PLZ ANSWER MY LAST QUESTION?????????!!!!!!!!!!!!!!!!
Answer:
what is the question? lol
Step-by-step explanation:
Answer:
what question ??
Step-by-step explanation:
negative six plus a number
is less than or equal to fifteen
Answer:
-6+x≤15
negative six: -6
plus: +
a number: variable (I chose x)
Less than or equal to: ≤ (an inequality)
fifteen: 15
Answer:
-6 + n ≤ 15
or
n ≤ 21
Step-by-step explanation:
negative six is -6
plus a number would be a variable (I will use n) + n
is less than or equal to would be ≤
fifteen is 15
-6 + n ≤ 15
If you want to solve it, continue
-6 + n ≤ 15
+6 +6
n ≤ 21
I hope that this helps! :)