Answer:
-36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x⁴ - 3x² - 90
x = -3
Step 2: Evaluate
Substitute in x: (-3)⁴ - 3(-3)² - 90Exponents: 81 - 3(9) - 90Multiply: 81 - 27 - 90Subtract: 54 - 90Subtract: -36in a school of 40 students 10% are boys. How many boys are there
Answer:
4boys
Step-by-step explanation:
40 of 10% 40×10/100 =4 remember percentage is always over 100
a rectangular banner has an area of 36.75 square feet, The length of the banner is 15 feet. What is its width
Answer:
w=A
l=36.75
15=2.45ft
Step-by-step explanation: there you go :>
Answer:
2.45ft
Step-by-step explanation:
w=A
l=36.75
15=2.45ft
What's greater? 18% or 11/55?
Answer:
11/55
Step-by-step explanation:
11/55 = 20%
18% = 18%
Answer:
11/55 is greater
Step-by-step explanation:
18% is less because divided by 100 it will be 0.18 and if you multiply 11/55 the answer is 0.20
ТDaP is a booster shot that prevents Diphtheria, Tetanus, and Pertussis in adults and adolescents. It should be administered every 8 years in order for it to remain effective. A random sample of 500 people living in a town that experienced a pertussis outbreak this year were divided into two groups. Group 1 was made up of 132 individuals who had not had the TDaP booster in the past 8 years, and Group 2 consisted of 368 individuals who had. In Group 1, 15 individuals caught pertussis during the outbreak, and in Group 2, 11 individuals caught pertussis. Is there evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were? Test at the 0.05 level of significance.
Enter the test statistic - round to 4 decimal places.
Enter the P-Value - round to 4 decimal places.
Is there evidence to suggest the proportion of those who caught pertussis is higher for those who were not up to date on their booster?
Answer: 76.8356 and 12.5372
Step-by-step explanation:
23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202
Find the IQR, show your work.
HELP!
Answer:
the IQR is 71
Step-by-step explanation:
the Xl is 99 and the Xu is 170. Xu-Xl=71
g Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.43
Answer:
0.0022 = 0.22% probability that the sample proportion is greater than than 0.43
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.
This means that [tex]p = 0.32[/tex]
Mean and standard deviation:
Sample of 146 means that [tex]n = 146[/tex]
[tex]\mu = p = 0.32[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]
What is the probability that the sample proportion is greater than than 0.43?
This is 1 subtracted by the pvalue of Z when X = 0.43. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]
[tex]Z = 2.85[/tex]
[tex]Z = 2.85[/tex] has a pvalue of 0.9978
1 - 0.9978 = 0.0022
0.0022 = 0.22% probability that the sample proportion is greater than than 0.43
Is the ratios 2.5 : 8 and 7.5 : 24 are they equivalent?
Answer:
Yes, they are equivalent.
Step-by-step explanation:
To get from 2.5 : 8 to 7.5 : 24, you have to multiply by both sides by 3.
So they are equivalent.
Simplify -3 p3 + 5 p + (-2 p2 ) + (-4) - 12 p + 5 - (-8 p3 ). Select the answer in descending powers of p . 1 - 7 p - 2 p2 + 5 p3 1 + 7 p + 2 p2 - 5 p3 5 p3 - 2 p2 - 7 p + 1 -5 p3 + 2 p2 + 7 p + 1
Step-by-step explanation:
Let's simplify step-by-step.
−3p3+5p−2p2−4−12p+5−−8p3
=−3p3+5p+−2p2+−4+−12p+5+8p3
Combine Like Terms:
=−3p3+5p+−2p2+−4+−12p+5+8p3
=(−3p3+8p3)+(−2p2)+(5p+−12p)+(−4+5)
=5p3+−2p2+−7p+1
Answer:
=5p3−2p2−7p+1
In a survey of 526 visitors to the craft center, 378 want the craft center to be open later in the evenings. What is the interval that is likely to contain the true population proportion?
37% to 69%
16% to 17%
20% to 38%
0% to 53%
Answer:
37% to 69%
Step-by-step explanation:
A company makes 150 bags.
23 of the bags have buttons but no zips.
35 of the bags have zips but no buttons.
49 of the bags have neither zips nor buttons.
How many bags have zips on them?
what is the value of x ?
Answer:
the letter "x" is often used in algebra to mean a value that is not known yet. It is called a 'varaible' or sometimes unknown.
Answer:
It is 65, B
Step-by-step explanation: because 180-115=65 tell me if you dont get it
Together, Dien and Jane can eat 2/3 of a pizza in 4 seconds. How long would it take each of them to eat the whole pizza alone if Jane can eat a pizza 5 seconds faster than Dien?
Answer:
Dien - 15 seconds, Jane - 10 secondsStep-by-step explanation:
Together:
2/3 of pizza ⇒ 4 secondsFull pizza ⇒ 4 ÷ 2/3 = 6 secondsDien needs x seconds to eat pizza
Jane needs x - 5 seconds to eat pizza
In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza
1/x + 1/(x - 5) = 1/6x(x - 5) = 6(x + x - 5)x² - 5x - 12x + 30 = 0x² - 17x + 30 = 0(x - 15)(x - 2) = 0x = 15 (x = 2 is discounted as not realistic)Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds
Which expression is equivalent to 16 + 2 ⋅ 36?
What rational number is equivalent to .36 repeating
Answer:
4/11
Step-by-step explanation:
i think,,,,try it and maybe its right
PLEASE HELP 20 POINTS!
which model shows 1/4 ÷ 3?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A
How many planes are shown in the figure?
Answer:
5
Step-by-step explanation:
5
Answer:
5
Step-by-step explanation:
18, 12, 8, ...
Find the 10th term.
Answer:
-24
Step-by-step explanation:
18, 12, 8, 4, 0, -4, -8, -12, -18, -24
You are going down by 4 so by the time you get to the 10th term it will be a negative.
Si a y b son los catetos de un triángulo y c su hipotenusa determina el lado que falta a= 16,b=34*
Answer:
the aswer is b
Step-by-step explanation:
i
The formula for the circumference, C, of a circle with given radius, r, is C = 2πr. meters? what is the circumference of a circle with a radius of 3 1/2 meters? (use 22 as an estimate for it.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
22
actual answer was 21.99
Find the missing side of this right triangle. [Pythagorean Theorem]
Answer: 12 x 7 = 72
Step-by-step explanation:
Answer:
Square root of 193
Step-by-step explanation:
7^2+12^2=x^2
Switch sides: x^2=7^2+12^2
After everything is squared: x^2=49+144
x^2=193 OR x=\sqrt{193}
A water balloon was launched into the top of the hill 38 feet above the ground
Answer: -71.104 ft/sec
Step-by-step explanation:So you need to know how fast the balloon is moving when it hits this person's head. velocity is based on time. So you need the time that it hits this person's head. You can get time from the position equation. Because the balloon hits this person's head 6 feet from the ground, you know that the final position is at 6 so you plug that into the position equation and solve for t. You look and see what the appropriate t value is and plug it into the velocity equation and see what the answer is.
6=-16t^2+40t+60
0=-16t^2+40t+54
plug in those values into the quadratic formula or your calculator and you get:
t = -.972
or
t = 3.472
since you can't have negative time, the other answer must be it.
So you then plug it in and solve.
v(3.472) = -32(3.472) + 40
which is approximately -71.104 ft/sec
or if they just want speed, 71.104 ft/sec. (remember, speed is velocity without direction)
math come help plese
Answer:
74
Step-by-step explanation:
I’ll give 35 points and brainliest answer asap please it’s due tomorrow
Answer:
try 72.2
Step-by-step explanation:
surface area is 3.8x3.8x6
but minus one side is 3.8x3.8x5 = 72.2
Answer:
72.2 square metersStep-by-step explanation:
multiply the length by the width
3.8 x 3.8 = 14.44
in a cube there are 6 sides; however, it says Sarah is painting all the sides except for one so she is only painting 5 sides
14.44 x 5 = 72.2
solve[5x-6/7] = -8 for x
please help
Answer:
7=7
Step-by-step explanation:
1 Let x=\frac{13}{5}x=
5
13
.
5\times \frac{13}{5}-6=7
5×
5
13
−6=7
2 Cancel 55.
13-6=7
13−6=7
3 Simplify 13-613−6 to 77.
7=7
7=7
hope this helps.
A shoe box is 4 inches wide, 3 inches deep, and 12 inches long. What is the volume?
I know it's 144 but 144 what?
Answer:
144in square
Step-by-step explanation:
Find the area of the rhombus. Each indicated distance is half the length of it’s respective diagonal.
(image included)
Answer:
384 ft²
Step-by-step explanation:
12x16x2=384
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 16, 8,4,... 16,8,4,... \text{Find the 10th term.} Find the 10th term.
Answer:
0.03125
To the nearest thousandth = 0.031
Help
solve 2x+4=10
Brainliest
❤️ The answer is attached
achievements.
Answer:
x=3
Step-by-step explanation:
2x+4=10
subtracting both side by 4.
2x+4-4=10-4
2x=6
x=6/2=3
This Question: 1 pt
17 of 29
Emma has $160 cash to spend at a music store. How much can she spend on items if there is a 7% sales tax?
Emma can spend on items.
(Round to the nearest cent as needed.)
Answer:
i would say $148.80
Step-by-step explanation:
tax would amount to 11.20 so when you subyract that from the total then the rest is what she can spend.
Alexis is going to Vegas for the weekend! She decides to try her hand at a new game that Casino QuickCash is promoting. For this game, you pay $6 to play. A dealer shuffles and then randomly draws a card from a standard deck of 52 cards. If the card drawn is a diamond, Alexis wins nothing. If the card drawn is an even-numbered card (2,4,6,8, or 10) from the remaining three decks, Alexis wins $8. Otherwise, Alexis wins $12. a) Alexis's expected winnings per game is (rounded to the nearest cent):
Answer:
$10.46
Step-by-step explanation:
Amount that can be won by Alexis ( xi ) = $0, $8 , $12
probability ( pi )
P( $0 ) = 13 / 52 = 1 / 4
P( $8 ) = 15 / 39 ( given that she wins this when an even number is drawn from three remaining decks )
P ( $12 ) = 1 - 15/39 = 24 / 39
a) Alexis expected winnings per game
= ∑ xi * pi = ( 0 * 1/4 ) + ( 8 * 15/39 ) + ( 12 * 24 / 39 )
= $0 + ( 120 / 39 ) + ( 288 / 39 ) = $10.46