A cookie recipe calls for 1 cup of flour to make 24 cookies . How many cups of flour are needed to make 30 cookies ?

ASAP ANSWER PLEASE

Liula [17]

Answer:

y = 2x -8

Step-by-step explanation:

The slope intercept form for a line is

y = mx+b where m is the slope and b is the y intercept

y = 2x -8

5 0

3 years ago

Find the cube root of a) 729 ÷ 512

Free_Kalibri [48]

Answer:

1.125

Step-by-step explanation:

729/512=1.423828125

3√1.423828125=1.125

4 0

3 years ago

Solve –2 + x > 10 using the properties of inequalities.

lys-0071 [83]

Using the properties of inequalities:
Subtract -2 from each side of the inequality -2 + x > 10
Remember -2 - -2 becomes -2 + 2 = 0 - -2 + x > --2
10 - -2 becomes 10 + 2 =12 0 + x > 12
So the final solution would be x > 12.
Therefore x would have to be all numbers greater than 12.

4 0

3 years ago

A company services home air conditioners. It is known that times for service calls follow a normal distribution with a mean of 7

SCORPION-xisa [38]

Answer:

The probability that exactly eight of them take more than 93.6 minutes is 5.6015 $\times 10^{-6}$ .

Step-by-step explanation:

We are given that it is known that times for service calls follow a normal distribution with a mean of 75 minutes and a standard deviation of 15 minutes.

A random sample of twelve service calls is taken.

So, firstly we will find the probability that service calls take more than 93.6 minutes.

Let X = times for service calls.

So, X ~ Normal( $\mu=75,\sigma^{2} =15^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 75 minutes

$\sigma$ = standard deviation = 15 minutes

Now, the probability that service calls take more than 93.6 minutes is given by = P(X > 93.6 minutes)

P(X > 93.6 min) = P( $\frac{X-\mu}{\sigma}$ > $\frac{93.6-75}{15}$ ) = P(Z > 1.24) = 1 - P(Z $\leq$ 1.24)

= 1 - 0.8925 = 0.1075

The above probability is calculated by looking at the value of x = 1.24 in the z table which has an area of 0.8925.

Now, we will use the binomial distribution to find the probability that exactly eight of them take more than 93.6 minutes, that is;

$P(Y = y) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; y = 0,1,2,3,.........$

where, n = number of trials (samples) taken = 12 service calls

r = number of success = exactly 8

p = probability of success which in our question is probability that

it takes more than 93.6 minutes, i.e. p = 0.1075.

Let Y = Number of service calls which takes more than 93.6 minutes

So, Y ~ Binom(n = 12, p = 0.1075)

Now, the probability that exactly eight of them take more than 93.6 minutes is given by = P(Y = 8)

P(Y = 8) = $\binom{12}{8}\times 0.1075^{8} \times (1-0.1075)^{12-8}$

= $495 \times 0.1075^{8} \times 0.8925^{4}$

= 5.6015 $\times 10^{-6}$ .

6 0

3 years ago

A store is having a sale on all items. Everything is 30% off the original price,p. Write an expression that can express the pric

Basile [38]

Answer:

X= .70×Y

Step-by-step explanation:

Y would be the value of the item and x is the outcome of the discount.

7 0

3 years ago