Answer:
[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]
Step-by-step explanation:
[tex] x^2 - 5x = 8 [/tex]
[tex] x^2 - 5x + \dfrac{25}{4} = 8 + \dfrac{25}{4} [/tex]
[tex] (x - \dfrac{5}{2})^2 = \dfrac{57}{4} [/tex]
[tex] x - \dfrac{5}{2} = \pm \sqrt{\frac{57}{4}} [/tex]
[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]
What is the value of x
[tex]x {}^{2} \times 5x = 625[/tex]
Answer:
x = 5
Step-by-step explanation:
x^2 * 5x = 5x^3
5x^3 = 625 Divide by 5
x^3 = 625/5
x^3 = 125 Take the cube root of 125
x = 5
What is the surface area of the composite figure shown?
Answer:
531 m²
Step-by-step explanation:
9x9x5=405 (5 sides that are 9x9, including the bottom)
1/2x9x7x4=126 (4 triangles on top)
405+126=531
plssssssssssssssssss helpppppppppppppppppppppppppppppppppppppppppppppppppp
find the value of x
plssss help me
Answer:
x = 20
Step-by-step explanation:
The angles are supplementary so:
7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20
I need help soo yah cna you help ne?
For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)
Answer:
[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions
Step-by-step explanation:
Given
[tex]-4x + 5 > -5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Required
Determine if their solution is x < 2.5 or x > 2.5
[tex]-4x + 5 > -5[/tex]
Collect like terms
[tex]-4x>-5-5[/tex]
[tex]-4x>-10[/tex]
Divide by -4
[tex]x<\frac{-10}{-4}[/tex]
[tex]x<2.5[/tex]
[tex]-25 > -5(x + 2.5)[/tex]
Open bracket
[tex]-25 > -5x - 12.5[/tex]
Collect like terms
[tex]5x > 25- 12.5[/tex]
[tex]5x > 12.5[/tex]
Divide by 5
[tex]x > \frac{12.5}{5}[/tex]
[tex]x > 2.5[/tex]
Ive been asking too many questions but Im really dmb so heres another one
Answer:
12(6)/2
B: 36
Step-by-step explanation:
The diagram shows the dimensions of a triangular prism what is the volume. Click on photo to see
Answer:
36 in^3
Step-by-step explanation:
1) find the area of the triangle
A = (leg 1 x leg2)/2 = (3 x 4)/2 = 6 in^2
2) find the volume
V = base area x height = 6 x 6 = 36 in^3
A farmer sells 6.5 kilograms of apples and pears at the farmer's market.
3
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
1.625 kg
Step-by-step explanation:
The area of a circular pizza is 200 inches.
What is the approximate length of the radius of the pizza.
Answer:
r = 31.85 in or 100/π
Step-by-step explanation:
area = πd
200 = 3.14d
d = 63.69
r = 1/2d
r = 31.85 in
What is the unit rate for the ratio 4/7: 8/21?
Answer:
The unit rate is 1.5
Step-by-step explanation:
Given
[tex]Ratio = 4/7 : 8/21[/tex]
Required
Determine the unit rate
To do this, we need to express the ratio as:
[tex]Ratio = m : 1[/tex]
Where m is the unit rate
[tex]Ratio = 4/7 : 8/21[/tex]
Express as fraction
[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]
Solve
[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]
[tex]Ratio = 1.5[/tex]
Express as ratio
[tex]Ratio = 1.5 : 1[/tex]
Hence, the unit rate is 1.5
Which statements must be true to model a data set using a normal distribution?
The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato/Edmentum
2/6 = 1/2 1/3
which one is the answer
Answer:
1/3
Step-by-step explanation:
2+2+2=6
There are three 3's
An object is spinning around a circle at a rate of 420 revolutions per minute. If the circle has a diameter of 8 feet, what is its angular speed in degrees per minute. Do not add the units into your answer.
Answer:
Step-by-step explanation:
This seems more like a physics questions, but i'll help you :P
the circle is 8 feet across or a radius of 4 feet
circumference of the circle is 2[tex]\pi[/tex]r = 25.132741 feet
it's going around 420 times a minute
420 * 25.132741 = 10555.75132 feet per minute
10,555.75
How do I solve this problem below!
Answer:
$5.44
Step-by-step explanation:
$1.75 + $1.26 + $1.08 + $0.52 = $4.56
$10.00 - $4.56 = $5.44
Rachel had a loan for $4,000 loan for 4 years.
She paid a total of $608 in simple interest over the 4 years.
What was the annual interest rate for the loan?
9514 1404 393
Answer:
3.8%
Step-by-step explanation:
The interest on a simple-interest loan is ...
I = Prt
where P is the principal value, r is the annual rate, and t is the number of years.
Solving for r, we get ...
r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%
The annual interest rate for the loan was 3.8%.
What type of correlation is shown in the graph?
A. Positive
B. Negative
C. No Correlation
D. Linear
Answer:
This graph shows a negative correlation
Hope this helps!
During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?
Answer: 0.8015
Step-by-step explanation:
Let F= event that a person has flu
H= event that person has a high temperature.
As per given,
P(F) =0.35
Then P(F')= 1- 0.35= 0.65 [Total probability= 1]
P(H | F) = 0.90
P(H|F') = 0.12
By Bayes theorem, we have
[tex]P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015[/tex]
Required probability = 0.8015
A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
Naomi has a bag that contains pineapple chews, cherry chews, and peach chews. She performs an experiment. Naomi randomly removes a chew from the bag, records the result, and returns the chew to the bag. Naomi performs the experiment 72 times. The results are shown below: A pineapple chew was selected 31 times. A cherry chew was selected 3 times. A peach chew was selected 38 times. Based on these results, express the probability that the next chew Naomi removes from the bag will be pineapple chew as a decimal to the nearest hundredth.
Answer:
0.43
Step-by-step explanation:
Answer:
0.43
Step-by-step explanation:
The experiment occurred 72 times , pineapple was selected 31 times
Probability the next chew will be pineapple:
31/72 = 0.430555
Round to the nearest hundredth: 0.43
There are 7 apples and 15 oranges in a fruit basket at the grocery store. What is the ratio of oranges to all fruit
Answer:
15:22
Step-by-step explanation:
15 oranges and 22 fruits in total
The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm
Factorise the following expression:
[tex] {a}^{2} + 10a + 24[/tex]
Step-by-step explanation:
[tex]a^{2} + 10a + 24[/tex]
= [tex]a^{2}[/tex] + 6a + 4a + 24
= a(a + 6) + 4(a + 6)
= (a + 6)(a + 4)
Answer:
solution:
[tex] {a}^{2} + 10a + 24[/tex]
a²+6a+4a+24
a(a+6)+4(a+6)
(a+6)(a+4) is your answer
Review later
A spinner with 3 equally likely sections is spun. If you were to spin the
spinner 150 times, how many times would you expect to land in each
section?
Find the product of
Which is the best type of graph to show the kilograms of food consumed and kilograms of food wasted in the
school cafeteria each day?
A. stem and leaf plot
B. line graph
C. dot plot
D. double bar graph
Answer:
Double Bar Graph
Step-by-step explanation:
Victor buys 4 sleeves of golf balls. He has coupons for $0.75 off the regular price of each sleeve. After using the coupons, the total cost of the golf balls is $11. What is the regular price of each sleeve of golf balls?
A bag contains 6 red and 10 black marbles. If you pick a marble, record its color, and return it to the bag 200 times, how many times can you expect to pick a black marble?
Answer:
12.5
Step-by-step explanation:
6+10= 16 200/16=12.5
need help with calculation:
you owe $2154.35 on your PBnJ credit card that has an interest rate of 9.85% APR, rather than placing $435 into a savings account earning 2.5% APR, you pay down the principal at the beginning of the month on the credit card. How much interest did you save? (HINT: Calculate the difference between the interest you would earn from the savings account and the interest you would pay on your credit card for the $435)
Answer:
if that $100 was on a loan or credit card, your debt could grow and grow until the interest you owe was more than the original principal! Credit Score or Rate. Your credit score is how well you pay off your credit .
) Find the area of the shape.
Answer:
1/2Bh
Step-by-step explanation:
u never said we had to answer
