Please help me with number 10

There are four nickels and six dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then

Anna71 [15]

The probability of picking a nickel first would be: 4/10
The probability of picking a dime first would be: 6/10

4 0

3 years ago

Kyle is shopping for his favorite

nalin [4]

Answer:

The 9 ounce box is the better deal, and Kyle will save 2 cents.

Step-by-step explanation:

First, you should find how much 1 once would cost in the 9 ounce box.

Do 2.52 ÷ 9 = x

x = 0.28

This means that in the <u>9 ounce box, one ounce costs 28 cents</u>.

Now, find how much one once would cost in the 12 ounce box.

3.60 ÷ 12 = x

x = 0.30

This means that in the <u>12 ounce box, one ounce costs 30 cents</u>.

This means that the 9 ounce box is a better deal, because it costs less per ounce.

0.30 - 0.28 = 0.02. This means there is a 2 cent difference in their prices per ounce.

So, Kyle should choose the 9 ounce box, and he will save 2 cents per box.

5 0

2 years ago

Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below.

Pani-rosa [81]

The statements which are true regarding the students whose results on 9 tests are as shown are; The median of Nadia's data is equal to the median of Ben's data.

Nadia had the highest score on a test.

<h3>Which statements are true regarding the scores on the tests?</h3>

According to the task content, it follows that the results of the students in discuss are indicated by means of a box plot as in the attached image.

Consequently, it follows from observation that the median of Nadia and Ben as indicated in the attached box plot is 92 in both cases as indicated by the vertical line in both boxes.

Additionally, the highest score by Nadia is 100 while that for Ben is; 99.

Hence, Nadia had the highest score on a test.

Read more on median in box plots;

brainly.com/question/14277132

#SPJ1

4 0

2 years ago

PLEASE HELPP ♥

kirza4 [7]

Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33

4.

What happens if we try to plug x=

4 0

3 years ago

If s(x) = x - 7 and t(x) = 4x2 – x + 3, which expression is equivalent to<br> to (t•s )(x)?

serg [7]

Answer:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

Step-by-step explanation:

(t•s )(x) is the product of functions s and t:

(t•s )(x) = ( 4x^2 - x + 3)(x - 7). Applying the Distributive Property of Multiplication, we get:

(t•s )(x) = 4x^3 - 28x^2 - x^2 + 7x + 3x - 21

which needs to be simplified by combining like terms:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

7 0

3 years ago