Answer:
C.
Step-by-step explanation:
Alex saved $65. He has already spent $25. He plans to spend $8 on a movie ticket each month. Which any quality represents the number of movie tickets he can but?
Answer: 8m+25 ≤ 65
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The product of the number of movie tickets he will buy per month (m) and the price of each ticket (8) plus the already spent money (25) must be less or equal to his savings (65).
Mathematically speaking:
8m+25 ≤ 65
Feel free to ask for more if needed or if you did not understand something.
The Thompson family borrowed $120,000
to buy a house. Over thirty years, they had
to repay 230% of what they borrowed. Find
the total cost of the house.
Answer:
27,600
Step-by-step explanation:
A professional soccer player buys 16 acers of land. he plans to build a house on the land but wants to use 2/8 of the land to put his own soccer field and facility on. how many acres of land will the soccer player need for his soccer field and facility?
Answer:
Step-by-step explanation:
The professional soccer player buys 16 acres of land.
He wants to use [tex]\frac{2}{8}[/tex] of the land to put his own soccer field and facility on.
All we have to do is find [tex]\frac{2}{8}[/tex] of 16 acres.
[tex]\frac{2}{8}[/tex] of 16 acres:
[tex]\frac{2}{8}[/tex] * 16 = 4 acres
He will need 4 acres out of the 16 acres for his soccer field and facility.
What is the mode of the following numbers?
1
,
2
,
4
,
6
,
4
Answer:
4 because mode is always the number that occurs the most. If there were two sixes and two fours, then there would be two modes.
Answer:
4
Step-by-step explanation:
The mode of the data set (a set of distinct values, at least) is the value which appears the most often. In this set, that number is 4.
The following graph shows the low temperatures for the past six nights. Which night had a low temperature of 26°F?
1. Thursday
2.Wednesday
3.Monday
4. Tuesday
Answer:
thursday
Step-by-step explanation:
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes. At the 0.01 significance level, test the claim that the mean is less than 10 minutes.
Answer:
We conclude that the mean waiting time is less than 10 minutes.
Step-by-step explanation:
We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.
Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.
Let [tex]\mu[/tex] = mean waiting time for bus number 14.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 10 minutes {means that the mean waiting time is more than or equal to 10 minutes}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 10 minutes {means that the mean waiting time is less than 10 minutes}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean waiting time = 7.8 minutes
s = sample standard deviation = 2.5 minutes
n = sample of different occasions = 18
So, test statistics = [tex]\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }[/tex] ~ [tex]t_1_7[/tex]
= -3.734
The value of t test statistics is -3.734.
Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.
Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the mean waiting time is less than 10 minutes.
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to support the claim that the mean is less than 10 minutes.
At the null hypothesis, it is tested if the mean is of at least 10 minutes, that is:
[tex]H_0: \mu \geq 10[/tex]
At the alternative hypothesis, it is tested if it is less than 10 minutes, that is:
[tex]H_1: \mu < 10[/tex]
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.8, \mu = 10, s = 2.5, n = 18[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{7.8 - 10}{\frac{2.5}{\sqrt{18}}}[/tex]
[tex]t = -3.73[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a 0.01 significance level and 18 - 1 = 17 df is of [tex]t^{\ast} = -2.57[/tex]
Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to support the claim that the mean is less than 10 minutes.
A similar problem is given at https://brainly.com/question/13873630
Rearrange the equation so xxx is the independent variable.
y+6=5(x-4)y+6=5(x−4)y, plus, 6, equals, 5, left parenthesis, x, minus, 4, right parenthesis
y=
The equation is rearranged so that \(y\) is expressed in terms of[tex]\(x\): y= 5x - 26[/tex]
To rearrange the given equation so that x is the independent variable, you need to solve for y. Here's how you can do it step by step:
1. Start with the given equation:
[tex]\[y + 6 = 5(x - 4)\][/tex]
2. Expand the right side of the equation:
[tex]\[y + 6 = 5x - 20\][/tex]
3. Move the constant term (6) to the right side by subtracting 6 from both sides:
[tex]\[y = 5x - 20 - 6\]\\y = 5x - 26\][/tex]
Now, the equation is rearranged so that \(y\) is expressed in terms of[tex]\(x\): y= 5x - 26[/tex]
For such more question on equation
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In a new lottery game, contestants pick 5 numbers (1-9 inclusive) and must guess exactly 3 correct in order to win. What’s the probability of winning this lottery?
Answer: 0.6%
Step-by-step explanation:
We have a selection of 5 numbers, in those selection we have 3 combinations of 3 consecuitve numbers (because the numbers must be in correct order).
The first 3
The 3 in the middle
the last 3.
So a contestant has 3 combinations were he wins.
Now, the number of possible combinations of the 9 numbers given is:
For the first number we have 9 options.
For the second number we have 8 options (because we already selected one)
For the last number we have 7 options (because we already selected 2 numbers)
Then the number of possible combinations is
10*9*8 = 504
The probabilty of winning will be equal to the number of combinations that the contestant has (3) divided by the total number of combinations, this is:
p = 3/504 = 0.006 or 0.006*100% = 0.6%
The product of 12 and k is 84. Solve for k
Answer:
k=7
Step-by-step explanation
This is the same as 12 x k = 84. To solve, put it into a division problem which is 84 divided by 12. 84 divided by 12 is 7.
D 0,1 of x is?
A. (4,0)
B. (4,1)
C. (5,1)
*20 points!!!*
Answer:
4,0
Step-by-step explanation:
Answer:
i can confirm it is 4,0
Step-by-step explanation:
miguel drove 355 miles using 17 gallons. at this rate , how many gallons of gas would he need to drive 284 miles
Answer:
14.2
Step-by-step explanation:
Answer:
It should be somewhere around 13.6
Step-by-step explanation:
Lindsay shot a model rocket over an area that consists of two grassy areas shown in green and an area without grass, shown in white. What is the probability that his rocket landed in the area WITHOUT grass?
A. 3/5
B. 4/5
C. 3/4
D.3/10
Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common factor of the given lengths: 7 Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5 Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?
Answer: Leon was wrong by using the greatest common factor to determine that the numbers are a Pythagorean triple.
Step-by-step explanation: The numbers that Leon used in his calculations which are, 21, 28, and 35 are actually a Pythagorean triple and this can be determined by using the Pythagoras' theorem which states that,
AC² = AB² + BC²
Where AC is the longest side, and AB and BC are the other two sides.
Substituting for the given values, we now have
35² = 28² + 21²
1225 = 784 + 441
1225 = 1225
Since both sides of the equation are equal, we can conclude that the numbers form a Pythagorean triple.
However, dividing the numbers by their greatest common factor does not prove that it is a Pythagorean triple. This process cannot be successfully applied to other Pythagorean triples, and is best described as a chance event.
For example, the numbers 21, 20 and 29 are Pythagorean triples and they have no common factor. Similarly, 6, 8 and 10 are also Pythagorean triples and their greatest common factor is 2. This too is not sufficient to prove that they form a Pythagorean triple.
The only prove that is sufficient enough is to substitute the numbers into the Pythagoras theorem as stated in the calculation above, and the result must show the left hand side of the equation to be equal to the right hand side of the equation.
Answer:
it’s C tell me if I’m right or wrong
Step-by-step explanation:
A box is filled with 9 red crayons, 5 blue crayons, and 8 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a blue or a yellow crayon.
Answer:
13/22
Step-by-step explanation:
The total number of crayons in the box
9 red crayons, 5 blue crayons, and 8 yellow crayons = 22
The number that are blue or yellow = 5+8 = 13
P (blue or yellow) = number that are blue or yellow / total
= 13/22
Answer:
13/22
Step-by-step explanation:
Total: 9 + 5 + 8 = 22
Blue or yellow: 5 + 8 = 13
P(Blue or yellow) = 13/22
Find the Mean Absolute Deviation: 5,
11, 2, 7, 16. The Mean is 8.2
4.2
3.2.
2.8
1.2
Answer:
4.24
Step-by-step explanation:
It is hard to explain sorry if you need it
The mean absolute deviation of the given values is 4.24
Given the values :
5, 11, 2, 7, 16
Mean = 8.2
The mean absolute deviation = Σ|x - mean| ÷ n
n = number of observations
x = observations
Mean absolute deviation :
(|5 - 8.2| + |11 - 8.2| + |2 - 8.2| + |7 - 8.2| + |16 - 8.2|) ÷ 521.2 ÷ 5 = 4.24Therefore, the mean absolute deviation of the values given is 4.24
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What is the least common denominator of 1/12 and 5/8
James and Reggie both collect old coins. Together, they have a total of 60 coins. If James would agree to give 1/4 of his coins to Reggie, they would then have exactly the same number of coins. How many more cons does James have (compared to the number of coins Reggie has)?
Answer:
James has 20 more coins than Reggie
Step-by-step explanation:
Given:
Total number of coins with James and Reggie = 60
If James would agree to give 1/4 of his coins to Reggie, they would then have exactly the same number of coins
To find: number of coins with James and Reggie
Solution:
Let x denote number of coins with James and y denote number of coins with Reggie.
According to question,
[tex]x+y=60\\x-\frac{x}{4} =y+\frac{x}{4} \\x-y=\frac{2x}{4} \\x=2y[/tex]
Put [tex]x=2y[/tex] in [tex]x+y=60[/tex]
[tex]2y+y=60\\3y=60\\y=\frac{60}{3}=20\\ x=2y=2(20)=40[/tex]
So,
number of coins with James = 40
number of coins with Reggie = 20
James has 20 more coins than Reggie
How many 1/3 cm cubes can fit in a rectangular prism with a length of 5 1/3 cm, a width of 2/3 cm and a height of 1 1/3 cm. PLEASE REPLY QUICKLY I HAVE TO SUBMIT THIS IN 30 MINUTES
Answer:
You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.
Step-by-step explanation:
you have 4 4/5 cups of rice. each serving of rice takes 2/5 of a cup. how many servings can you make?
Answer:
12 cups
Step-by-step explanation:
2/5 times 12 =4 4/5
Sorry, this answer was wrong.
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Jen's speed is 0.04 miles per minute.
Explanation:To find Jen's speed, we need to divide the distance she traveled by the time it took her to get there. In this case, Jen traveled 1/5 of a mile and it took her 5 minutes. To find her speed in miles per minute, we divide the distance (1/5 mile) by the time (5 minutes):
Speed = Distance ÷ Time
Speed = 1/5 mile ÷ 5 minutes
To simplify the calculation, we can convert 1/5 mile to a decimal by dividing 1 by 5:
1/5 = 0.2
Now we can divide 0.2 by 5 to find Jen's speed:
0.2 ÷ 5 = 0.04
Therefore, Jen's speed is 0.04 miles per minute.
can someone plzzzzzzz help me
A spinner and two cards are shown below.
Which table correctly identifies the sample space of spinning the spinner and then selecting a card? (5 points)
Group of answer choices
Results of the spin
Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Green Red, Green
Green Green, Green Yellow, Yellow Red, Red
Results of the spin
Card Color Orange Yellow Red
Purple Orange, Green Yellow, Yellow Red, Red
Green Green, Purple Yellow, Green Red, Green
Results of the spin
Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Purple Red, Purple
Green Green, Green Yellow, Yellow Red, Red
Results of the spin
Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Purple Red, Purple
Green Orange, Green Yellow, Green Red, Green
Answer:
it the last one
Step-by-step explanation:
only the last option has all the possible combinations
Answer:
Sample space:
{Yellow Purple,
Yellow Green,
Orange Purple
Orange Green,
Red Purple,
Red Green}
The graph of which function has a y-intercept of 3? Picture A, B, C, or D?
Answer:
A
Step-by-step explanation:
A is the only one that intersects with the y axis at the value 3.
hope this helps :)
Answer:
The answer is the first graph!
Anika buys a pair of shin guards for $8.58 and several pairs of soccer socks for $4.29 per pair. If she spends $25.74 before taxes, how many pairs of socks does Anika buy?
Answer:
4
Step-by-step explanation:
easier answer
This pizza has a radius of 4 inches . Which measurement is closest to the area of this pizza in inches?
Answer:
The area is 50.24
Step-by-step explanation:
Area of a circle is
A = πr²
A = 3.14 x 4²
A = 3.14 x 16
A = 50.24
The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?
Answer:
5
Step-by-step explanation:
The customer paid $7.53 for the item
Markup is the difference between a product's selling price and cost as a percentage of the cost. It is given by:
[tex]Markup=\frac{selling\ price-cost\ price}{cost\ price} \\\\[/tex]
Markup = 115% = 1.15, cost price = $3.50, hence:
[tex]Markup=\frac{selling\ price-cost\ price}{cost\ price} \\\\1.15=\frac{selling\ price-3.5}{3.5} \\\\Selling\ price=\$7.53[/tex]
Hence the customer paid $7.53 for the item.
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Gracie has 1/2 of a cantaloupe that she wants to divide. How many 1/10 's of a cantaloupe are there in 1/2 of a cantaloupe?
To find out how many 1/10's of a cantaloupe are there in 1/2 of a cantaloupe, you divide 1/2 by 1/10. The answer is 5.
Explanation:To find out how many 1/10's of a cantaloupe are there in 1/2 of a cantaloupe, we can divide 1/2 by 1/10. Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. So, we have (1/2) * (10/1) = 10/2 = 5. Therefore, there are 5 1/10's of a cantaloupe in 1/2 of a cantaloupe.
Learn more about Dividing fractions here:https://brainly.com/question/18511795
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The equation y minus two-thirds = negative 2 (x minus one-fourth) is written in point-slope form. What is the equation in slope-intercept form? Y = negative 2 x minus StartFraction 1 Over 6 EndFraction y = negative 2 x + StartFraction 7 Over 6 EndFraction y = negative 2 x + StartFraction 5 Over 12 EndFraction y = negative 2 x minus StartFraction 11 Over 12 EndFraction
Answer:
(B) [tex]y=-2x+ \dfrac{7}{6}[/tex]
Step-by-step explanation:
Given the point-slope form of the equation of a line below:
[tex]y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)[/tex]
We are required to write it in the slope-intercept form, y=mx+c.
[tex]y-\dfrac{2}{3}=-2\left(x- \dfrac{1}{4}\right)\\\\y-\dfrac{2}{3}=-2x+ \dfrac{2}{4}\\\\y=-2x+ \dfrac{2}{4}+\dfrac{2}{3}\\\\y=-2x+ \dfrac{7}{6}[/tex]
The slope intercept form is:
[tex]y=-2x+ \dfrac{7}{6}[/tex]
The correct option is B.
Answer:
b
Step-by-step explanation:
Please help me now plz
I will mark you brainliest
Answer:
theta = 24.4 degrees
Step-by-step explanation:
This is a right triangle.
sin theta = opp/ hyp
sin theta = 33/80
Take the inverse of each side
sin^-1 sin(theta) = sin^-1 (33/80)
theta =24.36197794
To the nearest tenth
theta = 24.4 degrees
Do the following lengths form a right triangle?
45, 117, and 125
Answer:
NOTStep-by-step explanation:
[tex]\text{If}\ a\leq b<c\ \text{and}\ a^2+b^2=c^2,\ \text{then}\ a,\ b\ \text{and}\ c\ \text{form a right triangle.}\\\\\text{We have:}\\\\a=45,\ b=117,\ c=125\\\\\text{substitute}\\\\a^2+b^2=45^2+117^2=2025+13689=15714\\\\c^2=125^2=15625\\\\a^2+b^2\neq c^2\\\\\text{Therefore your answer is}\ \bold{NO}[/tex]
What is 1,289,845 rounded to the nearest thousand?
Answer:
1,290,000
Step-by-step explanation:
Answer:
1,290,000
Step-by-step explanation:
If we are rounding to the nearest thousand, then we are finding the number in the hundredth's and rounding it.
From 1-9 If it's less than 5, round down. If it's 5 or more, round up.
At this case, it is 8 in the hundredths and nine in the thousandths. Since 8 is 5 or greater, you round it up to 1000, but the thousandth's place has a nine, which nine plus 1 is 10.
Therefore, 1,289,845 rounded up is 1,290,000.
I hope this helped! :)