Ten granola bars and twelve bottles of water cost $23. Five granola bars and four bottles of water cost $10. How much do one granola bar and one bottle of water cost?$ Part BFor a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.A.1.4x + 0.75y > 150B.1.4x + 0.75y ≥ 150C.1.4x + 0.75y < 150D.1.4x + 0.75y ≤ 150

Answer:

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.

This means that \(\mu = 116, \sigma = 5.4\)

Find the probability that one selected subcomponent is longer than 118 cm.

This is 1 subtracted by the pvalue of Z when X = 118. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{118 - 116}{5.4}\)

\(Z = 0.37\)

\(Z = 0.37\) has a pvalue of 0.6443

1 - 0.6443 = 0.3557

0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.

Answer:

Confidence Interval = (1.41, 1.59)

Step-by-step explanation:

To construct a confidence interval for the population mean, we can use the following formula:

Confidence Interval = sample mean ± (margin of error * standard error)

where the standard error is equal to the standard deviation divided by the square root of the sample size.

Given the information provided, we can calculate the standard error as:

standard error = 2.16 / sqrt(1370) = 0.058

Then, we can calculate the margin of error as 0.12.

Substituting these values into the formula, we get:

Confidence Interval = 1.5 ± (0.12 * 0.058)

Confidence Interval = (1.41, 1.59)

Therefore, we can interpret the 95% confidence interval as follows: we are 95% confident that the true population mean of the number of days that people feel lonely in the past 7 days is between 1.41 and 1.59. This means that if we were to take many samples of 1370 subjects and compute the confidence intervals for each sample using the same method, we would expect about 95% of the intervals to contain the true population mean.

EXPLANATION

This is a Growth Function Model, thus we can use the following expression:

Where r represents the rate, t the time and a the initial amount.

Substituting terms:

Adding numbers:

Computing the power:

Multiplying numbers:

In conclusion, the annual profit in 9 years will be of $ 1,481,518.45

The lateral area of the prism is the area of the three rectangles in the middle of the net. (The two triangles are the bases of the prism, which don't count toward lateral area.) The total length of the three rectangular prism faces is (8 +15 +17) cm = 40 cm. The width of those rectangles is 9 cm. The lateral area will be the product of this length and width:

... lateral area = (40 cm)(9 cm) = 360 cm²

Answer:

Opinion C

Step-by-step explanation:

hope that will help you

Answer:

The explanation is:

All interior angles in an equilateral triangle are congruent, making them all 60° by the sum of angles in a triangle. Because alternate interior angles of parallel lines are congruent, x = 60°.

\(\large\huge\green{\sf{Answer:-}}\)

\( = (-25ac) \times (-4t)) \\ = 100 \times a \times c \times t. \\ =100a \times c \times t \)

Answer:

11

Step-by-step explanation:

yeah-ya............ right?

Check the picture below.

Answer:

1 3/4

Step-by-step explanation:

4 - 2 = 2

2 1/4 - 2/4 is the new equation

2 1/4 - 1/4 = 2

2 - 1/4 = 1 3/4

1 3/4

:D

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume is 824 cubic inches, we can rearrange the formula to solve for the radius:

824 = πr²h

Since the height is not given, we cannot find the exact radius. However, we can still determine the relationship between the height and radius if the volume remains the same.

b. If the height of the cylinder is changed, but the volume stays the same, the radius will change inversely proportional to the height. This means that as the height increases, the radius will decrease, and vice versa. This relationship ensures that the volume remains constant.

Therefore, we cannot determine the exact radius without knowing the height, but we can conclude that the radius and height have an inverse relationship.

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

​

The value of two in 0.259 is 0.2 because it represents two hundredths or 2/100 of the total value of the number.

In the decimal number 0.259, the value of two depends on its position or place within the number. Each digit in a decimal number represents a different place value, starting from the left with the tenths place, hundredths place, thousandths place, and so on.

Since two is in the hundredths place in the number 0.259, its value is 0.02. This means that the digit two contributes two hundredths to the total value of the number. The digit in the tenths place (5 in this case) represents five tenths, and the digit in the thousandths place (9 in this case) represents nine thousandths.

To calculate the total value of 0.259, we add up the contributions from each place value: 0.2 (for the tenths place), 0.05 (for the hundredths place), and 0.009 (for the thousandths place). Adding these values together gives us a total value of 0.259.

In summary, the value of two in 0.259 is 0.2 because it represents two hundredths or 2/100 of the total value of the number.

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Answer:

I think the answer to x is 1

Step-by-step explanation:

1 ( x + 6 ) - 3 = 4 ( x + 2 )

1x + 6 - 3 = 4x + 12

          +3          +3

1x + 6 = 4x + 15

    - 6          - 6

1x = 4x + 9

-4x  -4x

-3 = 9

Then divide the -3 with -3 then put an equal sign then put 9 divided by -3.

X = 1

I hope this helps.

Answer:

the answer is

\(x = - \frac{5}{3} \)

Answer:

A) 3<x<5

Step-by-step explanation:

Given: |2x-8|<2

Make two inequalities:

First inequality:

2x-8<2

2x<10

x<5

Second inequality:

2x-8>-2

2x>6

x>3

Therefore, your solution is 3<x<5 since the two inequalities pass each other, making an "and" inequality.

The distance from point P to point Q is equal to: C. 5 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-1 - 3)² + (-4 - (-1))²]

Distance = √[(-4)² + (-4 + 1)²]

Distance = √[(-4)² + (-3)²]

Distance = √(16 + 9)

Distance = √25

Distance = 5 units.

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Answer:

Make the -4 exponent in the denominator positive.

The total budget for their student film $800

11% of total budget = (11/100) * total budget

= 0.11 * total budget

Let P be the amount the group spent on props.

Now we can write the equation:

P = 0.11 * total budget

We also know that this group spent $712 on equipment. Let E be the amount they spent on equipment.

So it looks like this:

E=$712

Your total budget is the total cost of your equipment and props. This can be written as:

Total Budget = E + P

Plugging in the E and P values, we get:

Total Budget = $712 + 0.11 * Total Budget

Simplifying this equation, we get:

0.89 * total budget = $712

Dividing both sides by 0.89 gives:

Total budget = $800

So her student film had a total budget of $800. 

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The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.

Step 1: State the hypotheses.

- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).

- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).

Step 2: Compute the value of the test statistic.

To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).

The formula for the z-test statistic is:

z = (X- μ) / (σ / √n)

Where:

X is the sample mean (4.21 cm),

μ is the population mean (4.00 cm),

σ is the population standard deviation (0.83 cm), and

n is the sample size (121).

Plugging in the values, we get:

z = (4.21 - 4.00) / (0.83 / √121)

z = 0.21 / (0.83 / 11)

z = 0.21 / 0.0753

z ≈ 2.79 (rounded to two decimal places)

Step 3: Determine the critical value and make a decision.

With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.

For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).

Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.

Conclusion:

Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.

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Answer:

A x B = 5/6 x 3/4 = 15/24

Answer = 15/24

Step-by-step explanation:

Answer:

We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.

We know that area of rectangle is width times length.

To find the area of the given rectangle we will multiply both side length as:

Area of regatangle = width x Lenghth

Area of regtangle = 3/4 x 5/6 yard to the 2 power

Area of regtangle = 1/4 x 5/2 yard to the 2 power

Area of regtangle = 1 x 5/ 4x2 yard to the 2 power

Area of regtangle = 5/8 yard to the 2 power

Therefore, the area of the given rectangle would be 5/8 square yards.

The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

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The right answers are:

Hope it helps.

please see the attached picture for full solution

Good luck on your assignment

Answer:

d) p - 3

3 fewer than menas you need to subtract 3

Step-by-step explanation:

The expression represents the phrase “3 fewer than a number, p” is (p-3).

Given

Expression;  the phrase: “3 fewer than a number, p”

What is the phrase?

A small group of words standing together as a conceptual unit, typically forming a component of a clause:

The given number is p which is smaller than a number which is 3.

Expression;  the phrase: “3 fewer than a number, p”

Then,

The expression represents the phrase is;

Hence, the expression represents the phrase “3 fewer than a number, p” is (p-3).

Answer:

8-27=

Step-by-step explanation:

Answer:

x - 8 = 19

Step-by-step explanation:

in this case x is 27. because 27 - 8 = 19

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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Answer:

16 boxes

Step-by-step explanation:

16x5=80+150=230>15x16=240

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

8750

Step-by-step explanation:

Answer:

P= 4a would be the answer