Select the correct answer

Substitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false.

nikdorinn [45]

Answer:

Step-by-step explanation:

$15a\geq 75\\15(5)\geq75\\75\geq75\\True$

If we substituted 1 for a then:

$15a\geq75\\15(1)\geq75\\15\geq75\\False$

7 0

4 years ago

Given sin(-0)=-1/6 and tan0=-√35/35

elena55 [62]

Answer:

Option a. √35/6

Step-by-step explanation:

Given sin θ = -1/6 and tan θ = -√35/35

We should know that :

tan θ = (sin θ)/(cos θ)

∴ Cos θ = (sin θ)/(tan θ)

∴ Cos θ = (-1/6)/(-√35/35) = (-1/6) * (-35/√35)

= 35/(6√35) = (√35 * √35)/(6√35) = √35/6

The answer is option a. √35/6

8 0

4 years ago

On a coordinate grid the coordinates of vertices p and q for polygon pars are p(5,4) and q(-2,4) what is the length of side pq?

Mariulka [41]

Answer:

pq = 7

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = p(5, 4) and (x₂, y₂ ) = q(- 2, 4)

pq = $\sqrt{(-2-5)^2+(4-4)^2}$

= $\sqrt{(-7)^2+0^2}$

= $\sqrt{49}$

= 7

4 0

4 years ago

What is the probability of selling at least 15 cheesecakes in a given day?

sergejj [24]

Answer: 15/24...i'm not sure though *scratches head*

4 0

3 years ago

The diameter of a spindle in a motor is supposed to be 40 mm with standard deviation of 0.5 mm. If the spindle is either too sma

grandymaker [24]

Answer:

It can be used the confidence interval to check the idea.

The confidence interval tells us that the real mean is expected to be between 40.2 and 40.4, with a 95% of confidence.

We can conclude that the mean diameter has moved away from the target value.

Step-by-step explanation:

A method to determine wether the mean diameter has moved away from the target is to calculate a confidence interval over the mean.

This would let us know if the real mean diameter could be 40 mm or not.

If the confidence interval does not include the value 40 mm, we can claim that the mean diameter has moved from the target value.

We will calculate a 95% confidence interval (CI), for which the z-value is z=1.96.

The margin of error is:

$E=z*\sigma/\sqrt{n}=1.96*0.5/\sqrt{100}=0.098\approx 0.1$

Then, the upper and lower limits of the CI are:

$UL=\bar x+z*\sigma/\sqrt{n}=40.3+0.1=40.4\\\\\\ LL=\bar x-z*\sigma/\sqrt{n}=40.3-0.1=40.2$

The confidence interval tells us that the real mean is expected to be between 40.2 and 40.4, with a 95% of confidence.

We can conclude that the mean diameter has moved away from the target value.

8 0

4 years ago