Final answer:
To find the binary equivalent of the decimal number 97, one divides it by 2 repeatedly and records the remainders in reverse order, resulting in the binary number 1100001.
Explanation:
The binary equivalent of the decimal value 97 can be found using a process of dividing by 2 and keeping track of the remainders. Firstly, divide 97 by 2, which gives a quotient of 48 and a remainder of 1. We write down the remainder. Continuing this process:
48 divided by 2 equals 24 with 0 remainder.24 divided by 2 equals 12 with 0 remainder.12 divided by 2 equals 6 with 0 remainder.6 divided by 2 equals 3 with 0 remainder.3 divided by 2 equals 1 with 1 remainder.1 divided by 2 equals 0 with 1 remainder (as we have now reached a value less than 2).After collecting all the remainders in reverse order, the binary equivalent of decimal 97 is 1100001.
EASY 5 POINTS REALLY NEED HELP RN!!!! Which expression finds the length of side x in this right triangle?
Answer:
Top right one
Step-by-step explanation:
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From September 1981 to September 1984 the enrollment at a particular school declined to 11%. If the number of students enrolled at that school in September 1984 was 712 what was the enrollment in September 1981?
a) 78 b) 634 c) 701
d) 790 e)800
Find the measure of the angle and please explain step by step
angle 4 is the same as angle 8
angle 7 & angle 8 has to equal 180 degree
so angle 7 and angle 4 also have to equal 180
angle 4 is 3 times the size of 7
lets call 7 (x)
so 4(x) = 180
180/4 =45
x=45
angle 7 is 45 degrees
A flagpole cast a shadow 16 feet long at the same time a pole 9 feet high casts a shadow 6feet long what is the height in feet of the flagpole
Can you help me solve this 2/3 (5 x 4) ÷ 3 + 6/7 =
To put up several tents for a camping trip, you need several pieces of rope each 6 2/3 feet long. If you have a rope that is 43 feet, how many pieces can you cut for the tents?
Write the event as a set of outcomes. We flip three coins and obtain more tails than heads.
How can you use place value and period names to read and write 324,904 in word form.
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
The commutative property allows you to rearrange the factors of a multiplication problem.
Explanation:The property that allows you to rearrange the factors of a multiplication problem is the commutative property. This property states that the order of the factors can be changed without changing the product. In this case, if cba represents three numbers multiplied together, you can rearrange the factors to read abc because multiplying in any order will give you the same product.
For example, if c = 2, b = 3, and a = 4, then cba = 2 * 3 * 4 = 24. Rearranging the factors to abc gives abc = 4 * 3 * 2 = 24, which is the same product.
Susie is paying $502.33 every month for her $150,000 mortgage payment. If this is a 4.5% 30 year mortgage, how much interest will she pay over the 30 years of payments?
Answer:
$30838.80
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Look at the radian measure for every 30 degrees and 45 degrees in the Unit Circle. Explain how finding the exact measure in quadrant one can help you determine the remaining exact radian measures.
The equation of the line of best fit of a scatter plot is y = −4x − 6. What is the slope of the equation?
−6
−4
4
6
Fill in the blank. In the triangle below x = ______. Round your answer to two decimal places.
Answer:
[tex]x=31.51\ units[/tex]
Step-by-step explanation:
we know that
In the right triangle
[tex]tan(42\°)=x/35[/tex]
isolate the variable x
[tex]x=35tan(42\°)=31.51\ units[/tex]
For each function, use the slope formula to calculate the rate of change between the points. In your final answer, include all of your calculations.
f(x):
(a, f(a) and (b,f(b)
1.) f(x)=x - 3 (0,f(0)) and (6,f(6))
2.) f(x) = -x (-4,f(-4)) and(2,f(2))
3.) f(x)=x2 (-2,f(-2)) and (0,f(0))
4.) f(x)=x3 (-1,f(-1)) and (1,f(1))
5.) f(x)=2x (0,f(0)) and (4,f(4))
There are 12 more toy cars than toy trucks in a toy box. With a total of 38 toy cars and trucks.How many toy trucks are in the toy box?
Answer:
Hui
Step-by-step explanation:
There is a value of a such that subtracting a-4 from 4a+16 gives an answer of -25. What is that value of a?
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box contains 15 items,4 of which are defective and 11 are good. Two items are selected. What is probability that the first is good and the second defective?
Final answer:
The probability that the first item selected is good and the second item is defective is 22/105.
Explanation:
To find the probability that the first item selected is good and the second item is defective, we need to consider the total number of items, the number of good items, and the number of defective items.
The total number of items is 15, with 11 being good and 4 being defective. When we select the first item, there are 15 options, out of which 11 are good. Therefore, the probability of selecting a good item first is 11/15.
After selecting the first item, there are now 14 items left in the box, with 10 being good and 4 being defective. When we select the second item, there are 14 options, out of which 4 are defective. Therefore, the probability of selecting a defective item second is 4/14, which simplifies to 2/7.
To find the probability that both events occur, we multiply the probabilities: (11/15) * (2/7) = 22/105.
For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is
P(X≤−1.9)=0.0287165598160018P(X≤−1.9)=0.0287165598160018
P(X≥1.7)=0.044565462758543P(X≥1.7)=0.044565462758543
P(−1.95996398454005≤X≤1.95996398454005)=0.95
Answer:
92.67% probability of obtaining a z value between -1.9 to 1.7.
Step-by-step explanation:
Normal probability distribution
Problems of normally distributed samples 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.
For a standard normal distribution, the probability of obtaining a z value between -1.9 to 1.7 is
This probability is the pvalue of z = 1.7 subtracted by the pvalue of z = -1.9.
z = 1.7 has a pvalue of 0.9554.
z = -1.9 has a pvalue of 0.0287.
So there is a 0.9554-0.0287 = 0.9267 = 92.67% probability of obtaining a z value between -1.9 to 1.7.
3. Solve z2 – 15z + 56 = 0 using the zero product property. A. z = 8, 7 B. z = –5, –2 C. z = 8, –4 D. z = –4, 7
Linear regression describes the extent to which _______ predicts ________.
Linear regression describes the extent to which an independent variable predicts a dependent variable through a linear relationship.
Explanation:Linear regression describes the extent to which an independent variable (x) predicts a dependent variable (y) through a linear relationship.
For example, if we have data that shows the number of hours studied (x) and the test score (y) of students, linear regression can help us determine how well the number of hours studied predicts the test score.
The regression line is used to model the linear relationship between the independent and dependent variables in the population.
Learn more about Linear regression here:https://brainly.com/question/36829492
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An employer interviews 10 people for 6 technical support positions in a company, and 5 of the 10 people are women. If all 10 are qualified, in how many ways can the employer fill the technical support positions if exactly 3 are women?
Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs? A. 3 1/2 yards B. 3 2/3 yards C. 4 yards D. 4 3/8 yards Mark for review (Will be highlighted on the review page)
What is 6 increased by a number?
How many license plates can be made using 3 digits and 3 letters of repeated digits and letters are not allowed?statistics?
Estimate then find the product 7×7956
Final answer:
To estimate the product of 7 and 7956, round 7956 to 8000 and then multiply by 7 to get 56,000. The exact product, calculated using the multiplication algorithm, is 55,692.
Explanation:
To estimate the product of 7×7956, we can round 7956 to the nearest thousand which gives us 8000. Then, we multiply 7×8000 to get an estimated product of 56,000. To find the exact product, we multiply 7 by 7956 to get 55,692.
When calculating such a product, we use the multiplication algorithm where we multiply each digit of the second number by the first number and then add up the resulting values.
Here's how you would perform the multiplication step by step:
7×7 = 49, add the carried over 6 to get 55, write down 5 and carry over the 5.
After placing the digits in their correct positions, we get the final answer: 55,692. Therefore, the exact product of 7×7956 is 55,692.
If 3/2 divided by 1/4 =n, then n is between
the formula I=square root w/r gives the electric current I amperes that flows through an appliance, where W is the power in watts and R is the resistance in ohms. which set of numbers best describes the value of I for the given values of W and R? ( 42.) W=100,R=25 ( 43.)W=100,R=50
Final answer:
The value of I for the given values of W and R can be calculated using the formula I = [tex]\sqrt{(W/R)[/tex]. For W = 100 and R = 25, the value of I is 2 amperes. For W = 100 and R = 50, the value of I is approximately 1.41 amperes.
Explanation:
The formula I = [tex]\sqrt{(W/R)[/tex] gives the electric current in amperes that flows through an appliance, where W is the power in watts and R is the resistance in ohms.
To determine the value of I for the given values of W and R, we can simply substitute the values into the formula. For the first set of numbers, W = 100 and R = 25:
[tex]I = \sqrt{(100/25)} = \sqrt{(4)} = 2[/tex] amperes.
For the second set of numbers, W = 100 and R = 50:
[tex]I = \sqrt{(100/50)} = \sqrt{(2) }[/tex]≈ 1.41 amperes.
Therefore, the value of I for the first set of numbers (W = 100, R = 25) is 2 amperes, and the value of I for the second set of numbers (W = 100, R = 50) is approximately 1.41 amperes.
Suppose there is a test for esophageal cancer that is 95% accurate both on those that do and those that do not have esophageal cancer. if 0.7 percent of the population has esophageal cancer, compute the probability that a person has this cancer, given that his or her test results indicates so.
Will someone please answer this question?
surface area = 5ab +5bh
a = 4
b=7
h=18
5*4*7 = 140
5*7*18 = 630
630+140 = 770 square meters