Answer:
r = -5
Step-by-step explanation:
-30 = 7r + 5
7r = -30 - 5
7r = -35
r = -35 / 7
r = -5
Hope that helps!
Answer:
r = -5
Step-by-step explanation:
Im going to rewrite to make it easier for me
7r + 5 = -30
subtract 5 from both sides
7r = -35
rewriting
(7)r = -35
divide by 7
r = -5
Example 5:
Mrs. Williams writes the following number on the board.
276,954
She instructs her students to write a number where the value of the 6 in their number is 10
times greater than the value of the 6 in the number on the board. Duwan writes the number
286,123. Is his answer correct? Explain how you know.
Answer:
No Duwan is in incorrect.
Step-by-step explanation:
When it asks for a number to be 10x greater, the answer would be in a digit that is 1 greater. For example 10x greater than 10 would be 100. You move the digit up once. An answer that Duwan could have used is: 260,000.
A die used in a certain board game has eight faces, of which 3 are red, 3 are yellow, and 2 are blue. Each face is equally likely to land faceup when the die is tossed. In the game, a player tosses the die until blue lands faceup, and the number of tosses before blue lands faceup is counted. For example, a player who tosses the sequence shown in the following table has tossed the die 3 times before blue lands faceup. What is the probability that a player will toss the die at least 2 times before blue lands faceup? A 0.1406 B 0.4219 C 0.4375 D 0.5625 E 0.5781
Answer: 0.5625
Step-by-step explanation:
Using the binomial distribution, it is found that the probability that a player will toss the die at least 2 times before blue lands face up is:
D 0.5625
For each toss, there are only two possible outcomes, either blue lands face up, or it does not. The probability of blue landing face up on a toss is independent of any other toss, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
2 out of the 8 faces are blue, hence [tex]p = \frac{2}{8} = 0.25[/tex]The probability that a player will toss the die at least 2 times before blue lands face up is P(X = 0) when n = 2, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]
Hence, option D is correct.
A similar problem is given at https://brainly.com/question/24863377
Find the volume.
pls help!!
Answer:
the answer to the problem is 48 km
Step-by-step explanation:
8*2*3
Answer: 48 sq km
Step-by-step explanation:
The length of the rectangular prism is 8 kilometers. The width is 3 kilometers. Lastly, the height is 2 kilometers. The formula for a rectangular prism is lwh, or length x width x height. 8 x 3 x 2 = 48 sq km.
please help on number 2 the table represents a linear relation use the table to identify the y-intercept please help i have an f and a couple zeros plz will give brainly
Answer:
y = 7x + 4
Step-by-step explanation:
From the table given in the picture attached,
Let the linear equation representing the table is,
y = mx + b
Here, m = Slope of the equation
b = Y-intercept
Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (20, 144) and (24, 172) will be,
m = [tex]\frac{172-144}{24-20}[/tex]
m = [tex]\frac{28}{4}[/tex]
m = 7
By substituting the value of m in the equation,
y = 7x + b
Since, this line passes through a point (20, 144),
By substituting the values of x = 20 and y = 144 in the equation,
144 = 7(20) + b
b = 144 - 140
b = 4
Therefore, equation of the line will be,
y = 7x + 4
A triangle has side lengths of 3 inches and 6 inches. What is a possible whole number length of the third side? inches
Answer:
6 inches
Step-by-step explanation:
if it is just a regular triangle then it would be 6 inches
What is the approximate length of the missing side of a
right triangle with hypotenuse of 16 cm and other side of
15 cm?
Answer:
The approximate length of the missing side is of 5.57 cm.
Step-by-step explanation:
Pythagorean Theorem:
In a right triangle with sides a and b and hypotenuse c, the Pythagorean theorem states that:
[tex]a^2 + b^2 = c^2[/tex]
In this question:
[tex]a = 15, c = 16[/tex]
We want to find b. Then
[tex]a^2 + b^2 = c^2[/tex]
[tex]15^2 + b^2 = 16^2[/tex]
[tex]b^2 = 256 - 225[/tex]
[tex]b^2 = 31[/tex]
[tex]b = \sqrt{31}[/tex]
[tex]b = 5.57[/tex]
The approximate length of the missing side is of 5.57 cm.
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
A: 70>t-55
B: 70<t-55
Theres a line under the < For C
C: 70<t+55
D: 70>t+55
Answer:
c is the answer i dont know just here for the points
Step-by-step explanation:
i guess
Suppose that there are 27 sophomores and 14 juniors in a Physiology class. Two students are chosen at random to participate in a class demonstration. What is the
probability of choosing two students at random and the first is a junior and the second one is a sophomore? Round your answer to four decimal places, if necessary.
Maria and her friends eat pizza for lunch.
There are 6 pizzas with 10 slices each. If
Maria and her 15 friends eat 3 slices each,
how many slices are left over?
Answer:
15 slices
Step-by-step explanation:
The total number of slices is equal to 60 (6x10=60) and if each friend eats 3 slices, they will all collectively eat 45 slices (15x3). If they eat 45 out 60 slices they will have 15 slices left over (60-45=15).
Using the graphing function on your calculator, what is the solution to the
system of equations show below?
y + 2x = 14
2y - x = 3
A. No solution
B. More than 1 solution
c. x = 4, y = 5
D. x = 5, y = 4
NEED HELP ASAP TYY
Answer:
D
Step-by-step explanation:
first we got y + 2x equals 14. If put 5 for X and 4 for Y it'll be 4 plus 2 times 5 which equals also 14. then 2*4-5=3
Write an irrational number that can be added to the irrational number √28 to get a rational sum of 8.
Answer: 2.82
Step-by-step explanation:
Which algebraic expression represents this mathematical statement?
the product of 7 and a number
Answer:
C. 7 * n
Step-by-step explanation:
Need help with functions
Step-by-step explanation:
in domian=-6,0
no in domian=2
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
iif the pattern in the graph below continues, which of the following ordered pairs will lie on the line?
Select all that apply.
A. (14, 100)
B. (15, 100)
C. (16, 100)
D. (16, 120)
E. (18, 120)
Answer:
Step-by-step explanation:
B and E because the x axis always goes up by 3 and the y axis always goes up by 20
Answer:
Step-by-step explanation:
Point P lies on circle C, x^2+y^2=36. There are two unique tangents to circle D, x^2+y^2=18 that pass through point p. What is the measure of the angle between the two tangent lines?
Answer:
90°Step-by-step explanation:
Refer to attached
Red circle is C with radius 6 and green circle is D with radius √18.
PM and PN are tangents to circle D.
M and N are right angles as tangents are perpendicular to radius.
We need to find the measure of ∠MPN.
We'll work out this angle using trigonometry:
OM / OP = sin (∠MPO) sin (∠MPO) = √18/6 = √2/2m∠MPO = arcsin ( √2/2) = 45°∠NPO is same as ∠MPO, therefore:
m∠MPN = 45°*2 = 90°In GHI the measure of
Answer:
GHI is the measure of tracking hunger at global, regional, and national levels.
2(y-2)-2y=-8 simplify using substitution method
Answer:
Step-by-step explanation:
uhh i dont know much... can you explain it to me easier?
Answer:
responder dejar de engañar a idiota
Step-by-step explanation:
6/8 ÷ 2/3 pleas help me
Answer:
[tex] \frac{6}{8} \div \frac{2}{3} [/tex]
Simplify,
[tex] \frac{6}{8} = \frac{3}{4} [/tex]
So now,
[tex] \frac{3}{4} \div \frac{2}{3} \\ = \frac{3}{4} \times \frac{3}{2} \\ = \frac{3 \times 3}{4 \times 2} \\ = \frac{9}{8} \\ = 1.125[/tex]
9. Jenn went to the farmer's market with $40.00. She bought a 10 lb bag of potatoes for $6.00, a pie for $8.00, 4 qt fresh blueberries for $4.00 per qt, and 5 lb of apples at $1.49 per lb. What
percent of the $40.00 did she still have when she left?
93.625%
6.375%
25%
.0595%
Answer: the answer is 6.375% because I just took the test
Step-by-step explanation:
Which decimal is least a 2.22 ,b 2.02 ,c 2.002 ,d 2.2
Answer:
2.002
Step-by-step explanation:
It is only 2 one thousandths.
Answer:
im pretty sure its c
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! <3 AND PLS EXPLAIN WHY U THINK THATS THE ANSWERRR
Answer:
If it's the area than A = πr²= 3.14 * 16 = 50.2ft²
use the distributive property to write equivpressions by filling in the blanks .
5(k+2) = (5+ __ ) + (5 ___ )
= __ + ___
Answer:
5(k+2) = (5 · k) + (5 · 2)
= 5k + 10
Answer:
5(k+2) = (5+ k+2 ) + (5 __k_ )
= _k_ + _2__ I may be wrong sorry
If you borrow $1500 for a year with a credit card that charges 26.8% annual interest, how much interest will you pay for the year?
Answer:
$402
Step-by-step explanation:
Interest = principal x rate x time
I = 1500 x .268
I = $402
What is the volume of the cone? Use 3.14 for π.
Answer:
Around 37.7
Step-by-step explanation:
The volume of a cone is (1/3)πr^2h or πr^2h/3
3.14 * 4^2 * 4/3 is around 37.7
The packing machine is set to fill a cardboard box with a mean of 16.1 ounces of cereal. Suppose the amounts per box form a normal distribution with a standard deviation equal to 0.04 ounce.
(a) What is the probability of the boxes will end up with at least 1 pound of cereal?
(b) The seventy percent of the boxes will contain less than what number of ounces?
(c) Eighty percent of the boxes will contain more than what number of ounces?
(d) The middle 90% of the boxes will be between what two weights?
Answer:
a) 0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal
b) 16.121 ounces.
c) 16.0664 ounces.
d) Between 16.0342 and 16.1658 ounces.
Step-by-step explanation:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 16.1 ounces, standard deviation of 0.04 ounces. So
[tex]\mu = 16.1, \sigma = 0.04[/tex]
(a) What is the probability of the boxes will end up with at least 1 pound of cereal?
One pound is 16 ounces, so this is 1 subtracted by the pvalue of Z when X = 16. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16 - 16.1}{0.04}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
1 - 0.0062 = 0.9938
0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal.
(b) The seventy percent of the boxes will contain less than what number of ounces?
Less than the 70th percentile, which is X when Z has a pvalue of 0.7. So X when Z = 0.525.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.525 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = 0.525*0.04[/tex]
[tex]X = 16.121[/tex]
16.121 ounces.
(c) Eighty percent of the boxes will contain more than what number of ounces?
More than the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.84 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = -0.84*0.04[/tex]
[tex]X = 16.0664[/tex]
16.0664 ounces.
(d) The middle 90% of the boxes will be between what two weights?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05, so X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = -1.645*0.04[/tex]
[tex]X = 16.0342[/tex]
95th percentile:
X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 16.1}{0.04}[/tex]
[tex]X - 16.1 = 1.645*0.04[/tex]
[tex]X = 16.1658[/tex]
Between 16.0342 and 16.1658 ounces.
It can be deduced that the probability of the boxes ending up with at least 1 pound of cereal will be 99.38%.
How to calculate the probabilityThe Z score based on the information will be:
Z = (16 - 16.1) / 0.04
Z = -2.5
Therefore, the p value is 0.0062. The probability will be:
= 1 - 0.0062
= 0.9938
The seventy percent of the boxes will contain less than 16 ounces. The ounces that will be contained in the eighty percent will be:
= -0.84 = (X - 16.1) / 0.04
X = 16
Lastly, the middle 90% of the boxes will be between 16.03 ounces 16.17 ounces.
Learn more about probability on:
https://brainly.com/question/25870256
Lily deposited 1,000 in her savings account that earns her 3% compounded annually. She forgot about it until 15 years later when she came across an old bank statement
you are packing gifts for the annual holiday decorations the boxes you have been given measure 10 inches in length 6 in in within 12 inches in height the gifts this year smaller so you need smaller boxes you order new boxes with Dimensions that equal the dimensions of the large boxes times a scale factor of 1/2 what is the volume of each new box
Answer:
I dont know can u explaining more
Step-by-step explanation:
its not clear too much
What is the area of a Rectangle that 7 3/8 units long and 6 4/6 units wide?
Answer:
49 1/6
Step-by-step explanation:
Mark meh brainliest pls.
Can someone please help me?
Answer:
Question 1: The answer is "He could ask each person in his class who is the tallest person in the class."
Question 2: The mode is 56.
Step-by-step explanation:
Explanation 1: A statistical question is a question that can be answered by collecting data that varies. For example, “How old am I?" is not a statistical question, but “How old are the students in my school?” is a statistical question. Therefore, when we look at the options, the second option is the best.
Explanation 2: To find the mode we have to find which number is most frequent through out the set. When we look at the numbers, there are 3 numbers that have 56. Therefore, 56 is the mode.