Answer:
The inequality to represent this scenario is given as:
7x + 12y ≥ 200
Step-by-step explanation:
From the question:
Daniella has two jobs. She earns $7 per hour babysitting her neighbor's children and she earns $12 per hour working at the coffee shop.
Let:
The number of hours babysitting = (x) The number of hours working at the coffee shop= (y)
We are told in the question that:
Daniella will need to work to earn at least $200.
At least means equal to or greater than
Hence,
The inequality to represent this scenario is given as:
$7 × x + $12 × y ≥ $200
7x + 12y ≥ 200
Answer: -2.10
Step-by-step explanation:
Given : 

Sample size : n= 50, since the sample size is greater than 30 , so we apply z-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean :-

i.e. 
Hence, the value of the test statistic = -2.10
Answer: y=-4x+7
Step-by-step explanation: Move 8x to the right side to isolate y. 2y=14-8x. Divide the whole equation by 2 to get y by itself. y=7-4x
Answer: P(6/7G) = 729⁄16384 = 0.044
The probability of having exactly six seeds germinate is 0.044
Complete Question:
A certain seed has 75% germination rate. Of seven seeds are planted, find the probability of having exactly six seeds germinate.
Step-by-step explanation:
The probability that a seed will germinate is
P(G) = 0.75
The probability that a seed will not germinate is
P(G') = 1-0.75 = 0.25
Therefore the probability that only 6 will germinate can be written as;
P(6/7G) = the probability that 6 seed germinate × the probability that one seed will not geminate
P(6/7G ) =[ P(G)]^6 ×[ P(G')]
P(6/7G) = 0.75^6 × 0.25
P(6/7G) = 729⁄16384 = 0.044
Answer:
50 g butter
45 g caster sugar
5 g chocolate chips
Step-by-step explanation:
First do 300 over 400 and you will get 1/4. That means he used 1/4 less of his ingredients. So you multiply everything by 1/4 and you will get 50 g of butter, 45 g of caster sugar, and 5 g of chocolate chips. If my explanation is not clear enough, there is work to show you the step.