A girl had 20 coins in nickels and dimes whose sum was $1.40. She spent 65cents , using 8 coins. She now has ? nickels.

Answer:

Step-by-step explanation:

Refer to the attached bar graph.

The bar graph illustrates the count of reserved campsites at a campground across a week.

Consequently, the total number of reserved campsites on Friday and Saturday will amount to (26 + 30) = 56.

Now, calculating the total reservations from Monday to Sunday gives us (5 + 3 + 4 + 7 + 26 + 30 + 9) = 84.

Therefore, the percentage of bookings for Friday and Saturday will be

. (Answer)

Step-by-step explanation:

When a negative number is placed within a modulus function, the result will be positive. For instance, |-3| equals 3, |-6| equals 6, and |5| equals 5, etc.

A modulus function, expressed as |x|, is always positive unless x is zero, in which case it equals zero.

Consequently, |x| cannot be less than -4 because |x| is always non-negative. Thus, the statement is inaccurate.

To determine how many 3/64 gallon servings can be filled from a total of 2/3 gallon of punch, perform the division of 2/3 by 3/64. The outcome is not a whole number, but this method illustrates the solution. Vinny's total is 2/3 of a gallon of punch, with each guest receiving a measure of 3/64 gallon, which tells us how many can be accommodated by performing<span> (2/3) / (3/64).</span>

Response:

The fence's length is expressed as 6.28x - 150 cm.

Detailed Breakdown:

Assuming the circular pool has a radius (r) of x cm.

As the pool is circular, its circumference represents the length of the fence. Additionally, subtracting the 150 cm for the gate gives us the actual length of the fence.

Length of fence = Circumference of pool – gate's width.

Length of fence = 2 π r – 150

Length of fence = 2 × 3.14 × x – 150

Therefore, the fence length is 6.28x – 150 cm.

Answer:

The P-value ranges between 2.5% and 5% according to the t-table.

Step-by-step explanation:

A random sample of 16 students from a large university showed an average age of 25 years with a standard deviation of 2 years.

Let = true average age of all students at the university.

So, the Null Hypothesis, : 24 years {indicating the average age is less than or equal to 24 years}

Alternate Hypothesis, : > 24 years {indicating the average age is significantly greater than 24 years}

Here we employ the One-sample t-test statistics as the population's standard deviation is unknown;

                              T.S. = ~

where, = sample average age = 25 years

             s = sample standard deviation = 2 years

             n = sample size = 16

This gives us the test statistics = ~

                                     = 2

The value of the t-test statistics is 2.

Moreover, the P-value of the test-statistics can be found as follows;

P-value = P( > 2) = 0.034 {as per the t-table}

Thus, the P-value lies between 2.5% and 5% based on the t-table.