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Andrei [34K]
2 years ago
15

Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.

Mathematics
1 answer:
S_A_V [24]2 years ago
6 0
Answer:
9<sqrt(97)<10

Step-by-step explanation:
Perfect squares:
1
4
9
16
25
36
49
64
81
100
121
144
169
....so on

97 is between 81 and 100
So square root of 97 is between sqrt(81)=9 and sqrt(100)=10.

9<sqrt(97)<10
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A basketball player that shoots 80% from the free throw line attempts two free throws. The notation for conditional probability
taurus [48]

Answer:

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)

Step-by-step explanation:

Here given that a basketball player that shoots 80% from the free throw line attempts two free throws.

If x is the no of shoots he makes (say) then we find that each throw is independent of the other.

In other words, because he made successful first attempt, his chances for second attempt will not change

Prob for success in each attempt remains the same as 0.80

Hence I throw is independent of II throw.

When A and B are independent,then we have

P(A/B) = P(A)

Hence answer is

P(made 2nd attempt|made 1st attempt)=P(made 2nd attempt)


8 0
3 years ago
A recipe for waffles calls for 2 cups of flour and 3 teaspoons of baking powder.
taurus [48]
It is the best option, 6 Teaspoons.
3 0
3 years ago
What rule or property justifies line B.
Goryan [66]
I’m pretty sure it’s number two in my opinion
5 0
3 years ago
17. Which of the following equations would graph a line parallel to 3y = x + 5? (
Naddik [55]

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st

Step-by-step explanation:

Parallel lines have same slopes and different y-intercepts

To find which equation would graph a line parallel to 3y = x + 5

1. Put the equation in the form of y = mx + c

2. m is the slope of the line and c is the y-intercept

3. Look for the equation which has the same values of m and different

   values of c

∵ 3y = x + 5

- Divide each term of the equation by 3 to put the equation in the

 form of y = mx + c

∴ y = \frac{1}{3} x + \frac{5}{3}

∴ m = \frac{1}{3}

∴ c = \frac{5}{3}

The first answer:

∵ 3y = x + 1

- Divide each term of the equation by 3

∴ y = \frac{1}{3} x + \frac{1}{3}

∴ m = \frac{1}{3}

∴ c = \frac{1}{3}

∵ The two equations have same slope m = \frac{1}{3}

∵ The two equations have different y-intercepts c = \frac{5}{3}

   and c = \frac{1}{3}

∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5

Learn more:

You can learn more about slope of a line in brainly.com/question/12954015

#LearnwithBrainly

8 0
3 years ago
Travis has decided to budget his spending money. He can spend no more
Oxana [17]

x + 4.3x \leq 125.75 is the inequality that describes this problem

<h3><u>Solution:</u></h3>

Given that Travis can spend no more  than $125.75 every month

To find: linear inequality that describes the problem

Let the amount spent on movies = x dollars

Given that Travis decided to spend 4.3 times as much  money on video games as he spends on movies

Amount spent on video games = 4.3 (amount spent on movies)

Amount spent on video games = 4.3x

Travis can spend no more than $125.75.  That is, he can spend less than or equal to $125.75

<em><u>Thus, the inequality representing the situation is:</u></em>

\text{ Amount spent on movies + Amount spent on video games } \leq 125.75

x + 4.3x \leq 125.75

Thus the required inequality is found

6 0
3 years ago
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