Answer: It will take her more than 9 weeks.
Step-by-step explanation:
If she already has $150 that will be constant and if she can save $45 per week the we will have the expression 45w where w is the number of weeks.
Together it will be 150 + 45w
Now the money has to be at least $560 so it will be
150 + 45w ≥ 560 Now solve for w
-150 -150
45w ≥ 410
w ≥ 9.1
Which means it will take 10 or more weeks t
Answer:
The radius is 1.75 cm, 1 3/4 cm, or 7/4 cm (all the same, just in different forms)
The circumference in terms of π is 7/2(π) cm, 3.5(π), or 3 1/2(π) cm (all the same, just in different forms)
The approximate circumference of the circle is 10.99 or 11 cm. (don't know if it's supposed to be rounded)
Step-by-step explanation:
Radius = 1/2 of the diameter, so 1/2 of 7/2 is 1.75, 1 3/4, or 7/4 cm.
Circumference in terms of pi means to not approximate pi. Circumference of circle is πd, so the exact circumference would be 7/2 pi cm, 3.5 pi cm, or 3 1/2 pi cm.
3.5 x 3.14 = 10.99. 10.99 cm ≈ 11 cm.
When she decided to combine the 5x and 2x she would have been subtracting the 2x leaving her with 3x-2=7which is 3x=9, x=3
To find x, first we'll split the triangle in two right triangles.
The first triangle will be the one with sides (8,x+4,y) and the second triangle will be the one with sides (12,2x+1,y).
As you can see, these two triangles share the side 'y'.
To solve we'll do the following; first solve for 'y' by applying the Pythagorean theorem in the second triangle, and finally solve for 'x' applying Pythagorean theorem in the first triangle.
From the second triangle (12,2x+1,y) we solve for 'y' by writing:

Now that we know 'y^2' we apply Pythagorean Theorem in the first triangle (8,x+4,y)


Now you solve the quadratic equation, you'll get a positive and negative value; as this are lengths, you take the positive and get:
There is no sufficient evidence to suggest that men and women have equal success in challenging calls. This was illustrated in the hypothesis.
<h3>How to compute the value?</h3>
It should be noted that based on the information given, P1 will be:
= 424/1436
= 0.295
P2 will be:
= 222/754
= 0.294
The value of the test statistic will be:
= (424 + 222)/(1436 + 754)
= 646/2190
= 0.2949
In this case, the value of the test statistic falls on the rejection region, therefore, there is no sufficient evidence to suggest that men and women have equal success in challenging calls.
Learn more about hypothesis on:
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