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3 years ago

Solve 2 3/4a=19 1/4

Mathematics

2 answers:

melamori03 [73]3 years ago

8 0

2 3/4a=19 1/4
÷2 3/4 ÷2 3/4
a=1/7

kicyunya [14]3 years ago

3 0

<span>Simple and best practice solution 3-4a=4(a-7)-3(2a-3)equation.</span>

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Which best represent the solution for the inequality shown? x−2−3≤5

Murljashka [212]

Answer:

x≤10

Step-by-step explanation:

7 0

3 years ago

This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe.

inna [77]

To find the answer for one cup of flour, divide the cups of sugar by the cups of flour. Here’s how it works.

Since we want the proportion for 1 cup of flour, we divide it by itself to get 1.

Thus, we need to have equal sides, so we divide the number of cups of sugar by the amount the cups of flour divided by.

So: 2.5/7.5=1/3

1 cup of flour is proportional to 1/3 cups of sugar.

Hope this helps!

3 0

3 years ago

The attendance at baseball games at a certain stadium is normally distributed, with a mean of 30,000 and a standard deviation of

lakkis [162]

Answer:

a) 0.964

b) 0.500

c) 0.885

d) $x \geq 32467.5$

e) 0.997

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30000

Standard Deviation, σ = 1500

We are given that the distribution of attendance at stadium is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(attendance is greater than 27,300)

P(x > 27300)

$P( x > 27300) = P( z > \displaystyle\frac{27300 - 30000}{1500}) = P(z > -1.8)$

$= 1 - P(z \leq -1.8)$

Calculation the value from standard normal z table, we have,

$P(x > 27300) = 1 - 0.036 = 0.964 = 96.4\%$

b) P(attendance greater than or equal to 30000)

$P(x > 30000) = P(z > \displaystyle\frac{30000-30000}{1500}) = P(z \geq 0)\\\\P( z \geq 0) = 1 - P(z \leq 0)$

Calculating the value from the standard normal table we have,

$1 - 0.500 = 0.500 = 50\%$

c) P(attendance between 27000 and 32000)

$P(27000 \leq x \leq 32000) = P(\displaystyle\frac{27000 - 30000}{1500} \leq z \leq \displaystyle\frac{32000-30000}{1500}) = P(-2 \leq z \leq 1.33)\\\\= P(z \leq 1.33) - P(z < -2)\\= 0.908 - 0.023 = 0.885 = 88.5\%$

$P(27000 \leq x \leq 32000) = 88.5\%$

e) P(attendance less than 33000)

P(x < 33000)

$P( x < 33000) = P( z < \displaystyle\frac{33000 - 30000}{1500}) = P(z < 2)$

Calculating the value from the standard normal table we have,

P(x < 33000) = 0.997 = 99.7%

d) We have to find x such that:

$P( X > x) = P( z > \displaystyle\frac{x - 30000}{1500}) = 0.95$

Calculating the value from the standard normal table we have,

P(z = 1.645) = 0.95

Thus,

$\displaystyle\frac{x - 30000}{1500} \geq 1.645\\\\x \geq 32467.5$

The attendance should be greater than or equal to 32467.5 to be in the top 5% of all games.

6 0

4 years ago

Chelsea uses 3 pounds of apples to make 4 cups. How many pounds of apple does she need to make 6 pints of applesauce

Gemiola [76]

Here, we know that 1 pint = 2 cups

Thus, 1 cup = $\frac{1 pints}{2}$

3 ponds apples are needed for 4 cups i.e. 3 ponds of apples = 4 cups of applesauce

1 cup of applesauce = $\frac{3 ponds}{4}$

Now, 6 pints will have 12 cups of applesauce

Multiplying this equation by 12 ⇒ 1 cup of applesauce = $\frac{3 ponds}{4}$

12 ×1 cup of applesauce = 12 × $\frac{3 ponds}{4}$

So, 12 cups of applesauce = 9 ponds of apple.

<u>Thus, 9 ponds of apple will be needed to make 6 pints of applesauce.</u>

7 0

3 years ago

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Given that two tangent lines are constructed from the shared point A outside a circle to the points of tangency B and C, what is

Talja [164]

The answer would be C! Like the person stated above ''tangents to the same circle from the same point measure the same''.

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3 years ago

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