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3 years ago

Please help! number 5

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

B is 2 and C is 9. AB is 7, AC is 14 and AD is 21. The kine AD has been split into 3 equal sections which are 7 each

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

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

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

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

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

5 0

4 years ago

Which equation best represents the linear function formed by the table?

DiKsa [7]

Answer:

what table?

Step-by-step explanation:

5 0

3 years ago

Add:

dezoksy [38]

(4-3n-5n2)

+( -2+n-3n2)
____________________
-2-2n-8n2

8 0

3 years ago

Read 2 more answers

Weights of different sandwiches in two lengths are shown in the table.

Alexandra [31]

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

Cheese sandwich $\frac{1}{4}$ $\frac{3}{4}$

Chicken salad sandwich $\frac{3}{4}$ $1\frac{3}{4}$

Egg salad sandwich $\frac{2}{3}$ $1\frac{1}{3}$

For cheese sandwich proportion

$\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16$

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

$\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}$

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich proportion

$\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9$

So, egg salad sandwich is proportional to its length

6 0

3 years ago

Aunt Kendra is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cu

Andreas93 [3]

Answer:

$70

Step-by-step explanation:

Middletown Equation:

1c +50 = T

Sweet Shoppe Equation:

2c + 30 = T

Set equations equal to one another and solve for first for cupcakes then for cost.

1c + 50 = 2c + 30

c+ 20 = 2c

20 = c (twenty cupcakes would be ordered)

Now insert into either equation ( or both to check)

1(20) + 50 = 70

2(20)+ 30 = 70

Total cost would be $70

HOPE THIS HELPS!!!

4 0

2 years ago