Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:

This is a quadratic equation which can be solved using a quadratic equation as shown below:

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
Answer:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Step-by-step explanation:
Information provided
n=400 represent the random sample taken
X=59 represent number of defectives from the company B
estimated proportion of defectives from the company B
is the value to verify
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic would be given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment
Answer:
9.68%
Step-by-step explanation:
cost of car = $35,000
down payment = $3,000
number of monthly instalments= $65
amount in every monthly instalment= $539.99
total monthly payment= 65×539.99= 35099.35
amount to be paid apart from downpayment= $35,000-3000= 32,000
therefore total interest paid in 65 months= 35099.35-3200= $3099.35
now, monthly interest rate 
⇒ r= 9.68%
<span>So we wan't to get the value of x in the equation x/35=7. To get x we need to multiply both sides of the equation with 35 and then we get: x=7*35. So after multiplying we get x= 245. To check the solution lets divide 245/7=35. So the correct answer is b. 245.</span>