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3 years ago

Sam bought a soft drink for 4 dollars and 7 candy bars . he spent a total of 18 dollars. how much did each candy bar cost?

1 answer:

8 0

18 dollars - 4 dollars for the drink = 14 dollars after you take out the drink
$14 divided by 7 candy bars = $2 per candy bar

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A recent national survey indicated that 73 percent of respondents try to include locally grown foods in their diets. A 95 percen

lilavasa [31]

Answer:

Correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

Step-by-step explanation:

A hypothesis for the proportion of people who include locally grown foods in their diets can be defined as:

H₀: The proportion of people who include locally grown foods in their diets is p.

Hₐ: The proportion of people who include locally grown foods in their diets is difference from p.

The decision rule can be based on the 95% confidence interval.

If the confidence interval consists the hypothetical value of the true proportion then the null hypothesis will be accepted or else the null hypothesis will be rejected.

The 95% confidence interval for the proportion of all people in the country who try to include locally grown foods in their diets is given as (0.70, 0.76).

This interval implies that there is 0.95 probability that the true proportion of people who include locally grown foods in their diets is between 70% and 76%.

Assuming that the claim made was supported by the 95% confidence interval.

The claim should be:

Less than 75% of all people in the country try to include locally grown foods in their diets.

Because the 95% confidence interval defines the range of the true proportion as 70% to 76%. Most of the values are below 75%.

Thus, the correct option is:

"Less than 75% of all people in the country try to include locally grown foods in their diets."

3 0

3 years ago

Read 2 more answers

Translate the sentence into an inequality The product of b and 3 is at least -22

Sedaia [141]

Answer:

$3b \geq -22$

Step-by-step explanation:

Product of of 3 and b is 3b

At least means greater than or equal too.

$3b \geq -22$

3 0

2 years ago

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

asambeis [7]

Answer:

(x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

$\sf \: x^2+y^2=16x$

The equation of a circle with center (h,k) and radius r units is

$\sf(x-h)^2+(y-k)^2=r^2(x−h)$

$\sf(x-7)^2+(y-5)^2=4^2(x−7)$

$\sf(x-7)^2+(y-5)^2=16(x−7)$

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0

2 years ago

The sum of two numbers is 18. One number is 2 more that for times the other. Find the numbers.

seropon [69]

Hi there!

Let the first number be represented by X.
The second number (which is 2 more than four times the other), can be represented by 4X + 2.

We can now find the sum of this expression.
X + 4X + 2

Collect terms
5X + 2

The sum of the numbers is 18. Therefore we can set up the following equation.
5X + 2 = 18

Subtract 2.
5X = 16

Divide both sides by 5.
X = 16/5 = 3 1/5.

Therefore, the first number is 3 1/5. To find the second number we must plug in X = 3 1/5 into the expression 4X + 2

4 * (3 1/5) + 2 = 12 4/5 + 2 = 14 4/5
The two numbers are
$3 \frac{1}{5} \: \: and \: \: 14 \frac{4}{5}$

~ Hope this helps you!

3 0

3 years ago

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x

cricket20 [7]

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

Try elimination.

-3x - 3y = - 72

2y = 28

y = 14

Then x = 10

So, we have 10 3-point problems and 14 5-point problems.

6 0

3 years ago