Answer:
-5,2
Step-by-step explanation:
make one side equal zero, x2 + 3x - 10
use guess and check to reverse foil and find (x+5)(x-2)
solve and get x = -5 , 2
Answer (it has two solutions):
x = -5x = 2I hope this helps!
Menso is an organisation for people with high Intelligence Quotients (IQs). Menso is investigating the average IQ of primary school students to determine whether its entry requirements should be altered for younger people. A sample of 55 primary school students have been randomly selected from schools throughout the country. The sample mean IQ of those students was calculated as 92. It is known that the population standard deviation of the IQs of all people is 10. It is assumed that this standard deviation will also apply specifically to the IQs of the primary school students. Calculate the upper and lower bounds of the 95% confidence interval for the mean IQ of primary school students. Give your answers to 2 decimal places
Answer: upper bound = 89.36 and lower bound = 94.64
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where [tex]\overline{x}[/tex] = sample mean , n= sample size , z* = two-tailed critical value, [tex]\sigma[/tex]= population standard deviation
As per given , we have
[tex]\overline{x}[/tex] = 92
n = 55
[tex]\sigma[/tex]= 10
Critical value for 95% confidence interval = 1.96
Required confidence interval : [tex]92\pm (1.96)\dfrac{10}{\sqrt{55}}[/tex]
[tex]92\pm (1.96)(1.3484)\approx92\pm2.64\\\\= (92-2.64,\ 92+2.64)\\\\=(89.36,\ 94.64)[/tex]
Hence, for 95% confidence interval for the mean IQ of primary school students:
upper bound = 89.36 and lower bound = 94.64
Find the unit rate, please.
7 errors in 60 minutes.
Answer:
1 error / about 8 minutes and 30 seconds
Step-by-step explanation:
1/8.5 Divide the fraction by 7.
By dividing both numbers of the fraction, you are finding how many errors are in the number of minutes you make them.
Exact answer: 1/8.571428 repeated
Rounded answer: 1/8.56
please guys asap guys i need it so badly thank you
Answer:
Step-by-step explanation:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
[tex][Hello,BrainlyUser!\; I'm\;Lenvy][/tex]
[tex]Your\;Answer\;Is\;Below[/tex]
Answer:
42 feet
Step-by-step explanation:
First let know what is
Yards to Feet
Note that;
1 Yard ⇒ 3 Feet
Thus, Formula: Multiply the length value by 3
Given:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
Therefore, 14 * 3 = 42
Hence, Answer is Lena brough 42 feet of ribbon.
~[CloudBreeze]~
Answer:
42 feet
Step-by-step explanation:
Important Info:
Lena bought 14 yards of ribbon. How many feet of ribbon did she buy?
Notice it say how many feet..
Therefore, Let's first know what yards to feet..
1 Yard → 3 feet
Since we know that We can Solve now:
To Find how many feet of ribbon she buy let's multiply;
14 x 3 = 42
or
14 + 14 + 14 = 42
Hence, Knowing that Lena brought 42 ribbon in feet.
[RevyBreeze]
There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of
apples to total fruits?
Be sure to write your answer in lowest terms
» There are 8 watermelons and 6 apples in the shopping cart. What is the ratio of apples to total fruits? Be sure to write your answer in lowest terms.
[tex] \underline{ \mathcal{ANSWER:}}[/tex][tex] \blue{ \bold{4:7}}[/tex]— — — — — — — — — —
[tex] \underline{ \mathcal{EXPLANATION:}}[/tex]Based on the problem, there are 8 watermelons and 6 apples in the shopping cart. So,
[tex] \sf \: Apple = \green6 [/tex][tex] \sf \: Watermelon = \green 8[/tex][tex] \sf \: Total \: Fruits= \green {14 }[/tex]Therefore, the ratio of apples to total fruits is 8:14 and its lowest term is 4:7.
_______________∞_______________
) If the warranty guarantees the dishwasher will last at least 14 years or your money back, what is the probability that the company will have to refund money to a customer
Using the normal distribution, it is found that there is a 0.6406 = 64.06% probability that the company will have to refund money to a customer.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.Researching the problem on the internet, it is found that the mean and the standard deviation are, respectively, given by [tex]\mu = 13[/tex] and [tex]\sigma = 2.75[/tex].
The probability it lasts less than 14 years is the p-value of Z when X = 14, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14 - 13}{2.75}[/tex]
[tex]Z = 0.36[/tex]
[tex]Z = 0.36[/tex] has a p-value of 0.6406.
0.6406 = 64.06% probability that the company will have to refund money to a customer.
More can be learned about the normal distribution at https://brainly.com/question/24663213
One year, many college-bound high school seniors in the U.S. took the Scholastic Aptitude Test (SAT). For the verbal portion of this test, the mean was 425 and the standard deviation was 110. Based on this information what percentage of students would be expected to score between 350 and 550
Using the normal distribution, it is found that 62.46% of students would be expected to score between 350 and 550.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are respectively, given by: [tex]\mu = 425, \sigma = 110[/tex]
The proportion of students that would be expected to score between 350 and 550 is the p-value of Z when X = 550 subtracted by the p-value of Z when X = 350, hence:
X = 550:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{550 - 425}{110}[/tex]
[tex]Z = 1.14[/tex]
[tex]Z = 1.14[/tex] has a p-value of 0.8729.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 425}{110}[/tex]
[tex]Z = -0.68[/tex]
[tex]Z = -0.68[/tex] has a p-value of 0.2483.
0.8729 - 0.2483 = 0.6246
62.46% of students would be expected to score between 350 and 550.
More can be learned about the normal distribution at https://brainly.com/question/24663213
What is 37.025 written in word form
Answer:
Thirty-seven and twenty-five thousandths
if you are driving 60 km/hr, how far would you go in 20??
Answer:
1200 km
Step-by-step explanation:
Just multiply by 20
miles wants some new games for his phone. each game costs 2.99 how much would it cost if he bought 7 new games
Answer:
$20.93
Step-by-step explanation:
2.99 x 7= 20.93
Consider the line y=7/4x-4.
Find the equation of the line that is perpendicular to this line and passes through the point (8,2)
Find the equation of the line that is parallel to this line and passes through the point (8,2)
Answer:
[tex]\displaystyle \perp\:y = -\frac{4}{7}x + 6\frac{4}{7} \\ \parallel\:y = 1\frac{3}{4}x - 12[/tex]
Step-by-step explanation:
Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 1¾ becomes −⁴⁄₇, and we move forward:
[tex]\displaystyle 2 = -\frac{4}{7}[8] + b \hookrightarrow 2 = -4\frac{4}{7} + b; 6\frac{4}{7} = b \\ \\ \boxed{y = -\frac{4}{7}x + 6\frac{4}{7}}[/tex]
Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so 1¾ remains as is as we proceed:
[tex]\displaystyle 2 = 1\frac{3}{4}[8] + b \hookrightarrow 2 = 14 + b; -12 = b \\ \\ \boxed{y = 1\frac{3}{4}x - 12}[/tex]
I am joyous to assist you at any time.
Without multiplying, order the following products from least to greatest.
2x3/5. 1/4x 3/5. 1 2/5x 3/5. 6/6x 3/5.
Please help, Thank you.
Answer:
6/6 x 3/5, 1/4 x 3/5, 1 2/5 x 3/5, 2 x 3/5
Hope this helps
Step-by-step explanation:
Two straight roads meet at right angles at an intersection. A car is traveling due
south towards the intersection at a constant speed of 60 miles per hour. A second
car is traveling due west towards the same intersection at a constant speed of 70
miles per hour. How fast is the distance between the cars changing at the instant
when the southbound car is 30 miles from the intersection and the westbound car
is 40 miles from the intersection?
Answer:
A
Step-by-step explanation:
AAAAAAAAAAAAAAAAAAAAA
Given that the federal and state biweekly deductions for a single person making $1,300 with zero withholding allowances working in New York are $174 and $54.70 respectively, determine the net biweekly income. a. $1053.08 c. $1071.30 b. $1067.11 d. $1079.13 Please select the best answer from the choices provided A B C D
Answer: C. $1071.30
Step-by-step explanation:
I got this answer by subtracting $174 and $54.70 because those are the federal and state biweekly deductions from her income of $1300.
Answer:
C
Step-by-step explanation:
Just took the quiz and got this right.
A production facility has a constant flow of truck drivers that pickup products to deliver to customers. Recently, they have installed a new automatic gate system. Occasionally, truck drivers have issues either entering or exiting the facility using the automatic gate system. Over the course of one week, the production facility randomly selected 8 truck drivers. The random sample showed the 8 truck drivers had an average of 4.5 (with a standard deviation of 3.3) issues with entry into the facility and an average of 6.6 (with a standard deviation of 2.0) issues with exit from the facility. The production facility would like to know if the new automatic gate system has MORE issues with exiting the facility than entering it. What test should be used
Answer:
Two sample test of paired means with unknown variance (standard deviation)
Step-by-step explanation:
What is the expanded form of the decimal 509.1?
Answer:
100x5
1x9
.1x1
Step-by-step explanation:
(9) A software company estimates that if it assigns x programmers to work on the project, it can develop a new product in T days, where T= 100 – 30.x + 3x^2. How many programmers should the company assign in order to complete the development as quickly as possible?
Using the vertex of the quadratic equation, it is found that the company should assign 5 programmers in order to complete the development as quickly as possible.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the time needed for x programmers to finish the project is given by:
T(x) = 100 - 30x + 3x².
Which means that the coefficients are a = 3, b = -30, c = 100. The number of programmers which will minimize the time is given by:
[tex]x_v = -\frac{-30}{6} = 5[/tex]
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
Which statement is true about figures ABCD and A’B’C’D’?
Answer:
there is no figures could you please um take picture so we can help
In which number does the 5 represent a value 10 times the represented by the 5 in 35,187. A 117,568. B 247,351 C 325,827. D 453,362
Answer:
The answer is D
Step-by-step explanation:
Given : Number 35,187.
To find : In which number does the 5 represent a value 10 times the value represented by the 5 in number ?
Solution :
According to place value system,
Ten Thousand Thousand Hundred Tens Ones
3 5 1 8 7
The 5 value is at thousand.
A value 10 times the value represented by the 5 in 35,187 is given by any number placed in ten thousand place.
Therefore, The answer is D
Answer:
"B"
Step-by-step explanation:
The "5" Starts at the place of the "1" and
moves up by one because the "0" in the 10 to make
"B"'s Answer.
Let me know if you elaboration!
The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
PLEASE HELP ME ASAP
ITS NOT HARD IM JUST TIRED
Answer:
15.4z−12
Step-by-step explanation:
Distribute:
7.4z+(−5)(−1.6z)+(−5)(2.4)
7.4z+8z+−12
Combine Like Terms:
7.4z+8z+−12
(7.4z+8z)+(−12)
15.4z+−12
Answer:
12*(x-1)
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "2.4" was replaced by "(24/10)". 2 more similar replacement(s)
STEP
1
:
Simplify 12/5
Equation at the end of step
1
:
4x-(5•((0-(16/10•x))+12/5))
STEP
2
:
Simplify 8/5
Equation at the end of step
2
:
4x - (5 • ((0 - (8/5 • x)) + 12/5))
STEP
3
:
Adding fractions which have a common denominator :
3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-8x + 12 /5 = 12 - 8x/5
Equation at the end of step
3
:
4x - (5 • (12 - 8x)/5)
STEP
4
:
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
12 - 8x = -4 • (2x - 3)
Equation at the end of step
5
:
4x - -4 • (2x - 3)
STEP
6
:
STEP
7
:
Pulling out like terms :
7.1 Pull out like factors :
12x - 12 = 12 • (x - 1)
Final result :
12 • (x - 1)
Select the action you would use to solve x-3 = 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
O D. Property: Addition property of equality
0
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality
Answer: X = 15
Explanation:
Well, If 12 equals X minus 3 then we first must flip the signs.
which is adding. So we take 12 and add 3 which would get us 15.
Double check : 15 (X) - 3 = 12
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. write a linear equation (y=mx+b) equation. How many pounds will he collect in 7 weeks? How long will it take Rufus to collect 400 pounds of cans?
Answer:
y = 25x +100
He will collect 275 pounds in 7 weeks
It will take him 12 weeks.
Hope this helps!
. It cost Sophia $530 to make wind chimes. How many wind
chimes must she sell at $12 apiece to make a profit?
Answer:
45
Step-by-step explanation:
530 use division 12 equals ,44.166 so round up
I just need help with #1
Answer:
65 degrees
Step-by-step explanation:
Since the two straight lines are parallel, this means that Angle 1 and the 65 degrees angle are alternate interior angles; meaning that they're congruent.
So:
Angle 1 = 65 degrees
Hope this helps!
Please let me know if I'm incorrect :)
Answer:
The answer is 65 (degree symbol here)
Step-by-step explanation:
two interior angles on the inside of this shape will always be the same
Please help I will give you brainliest. I need this answered ASAP please!
But I will only give you brainliest if you provide an explanation please. Here is the question: The hybrid car
powered by the combined gas
engine and electric motor
shown has a fuel economy of
46 miles to the gallon in city
driving and 51 miles to the
gallon on the highway. Suppose
you drive the hybrid car about
10,000 miles in the city each
year. If you pay $1.75 for one
gallon of gas, how much do you
pay for gas in a year?
The car gets 46 miles per gallon in the city.
Divide total miles driven in th city by miles per gallon to find total number of gallons of gas used:
10,000 miles / 46 miles per gallon = 217.3913 gallons of gas used.
Now multiply gallons used by price per gallon:
217.3913 x $1.75 = $380.43 per year
can someone pls help with both of these. WILL MARK BRAINLIEST
Answer:
The first one is : B. 12
The second one is: B. 4
Step-by-step explanation:
1 Explained:
12 * 3 = 36
36 - 24 = 12
Therefore if he had taken 3 times as many he would have had 36. And 36 is 24 more than 12.
2 Explained:
blue + green + yellow = 240
120 + 40= 160
240 - 160= 80
Yellow= 80
120/20= 6
40/20= 2
80/20= 4
6 blue
2 green
4 yellow
12 in total.
Wanda bought a sweater for 25% off. If the original price of the sweater was $56, how much was the discount Wanda received?
Answer: 14 dollar discount
Step-by-step explanation:
HELPPPP!!!
Proof:
Statements Reasons
1.
//
1.
2. are alternate
interior angles
2.
3. 3.
4. 4.
5. 5.
Buntun Bridge
Answer:
If two angles and the included side of one triangle are congruent to the ... For item numbers 3, 4 and 5 refer to the figure at the right. 3.
34 pages
Step-by-step explanation:
please help me answer this slope question!
FIND SLOPE OF THE LINE ( give me the coordinates too!)
Answer:
Slope = -1/2.
Step-by-step explanation:
2 points on the line are (10, 0) which is where the line passes through the x-axis and (0, 5 ) where it passes through the y-axis.
The slope = (difference in y coordinates) / ( corresponding difference in x coordinates)
= (5 - 0) / (0 - 10)
= -5/10
= -1/2.