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3 years ago

10. Makenzie is at the bakery. She sees a sign that says 8 pastries cost

Mathematics

1 answer:

kotegsom [21]3 years ago

3 0

Answer:

$100

Step-by-step explanation:

8x= 160

160/8 = 20

x=20

5x = 100

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Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma

olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is 0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded, is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed) , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4) = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is 0.919 (91.9%)

6 0

3 years ago

What is the answer to -6n^2 - 5n - 7 = -8

soldi70 [24.7K]

Answer:

n = $\frac{1}{3}$ , n = $\frac{1}{2}$

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = $\frac{1}{3}$

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = $\frac{1}{2}$

7 0

2 years ago

The ratio of girls to boys in Liza’s classroom is 5 to 4. How many girls are in her classroom if there is a total of 27 students

Maru [420]

For every 9 kids 5 are girls
there are 3 sets of 9
so 5 x 3 = 15

there are 15 girls

5 0

3 years ago

The Magazine Mass Marketing Company has received 10 entries in its latest sweepstakes. They know that the probability of receivi

Serjik [45]

Answer:

P(X>4)= 0.624

Step-by-step explanation:

Given that

n = 10

p= 0.5 ,q= 1 - p = 0.5

Two fifth of 10 = 2/5 x 10 =4

It means that we have to find probability P(X>4).

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

We know that

$P(X=x)=(_{x}^{n})\ p^xq^{n-x}$

$P(X=0)=(_{0}^{10})\ 0.5^0\ 0.5^{10}=0.0009$

$P(X=1)=(_{1}^{10})\ 0.5^1\ 0.5^{9}=0.0097$

$P(X=2)=(_{2}^{10})\ 0.5^2\ 0.5^{8}=0.043$

$P(X=3)=(_{3}^{10})\ 0.5^3\ 0.5^{7}=0.117$

$P(X=4)=(_{4}^{10})\ 0.5^3\ 0.5^{7}=0.205$

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

P(X>4)= 1 -0.0009 - 0.0097 - 0.043 - 0.117-0.205

P(X>4)= 0.624

8 0

3 years ago

Read 2 more answers

Given: x+2y=-6. Solve for y. y=x-6/2

Snowcat [4.5K]

$x+2y=-6\\\\2y=-6-x\quad|:2\\\\y=\dfrac{-6-x}{2}\\\\\\\boxed{y=-3-\frac{x}{2}}$

5 0

3 years ago