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3 years ago

Which of the following represents the value of the missing side?

Mathematics

2 answers:

igomit [66]3 years ago

7 0

Answer:

The value of the missing side is $x=2\ units$

Step-by-step explanation:

In this problem i assume that the length side x is tangent to the circle

the length side x is perpendicular to the radius

Applying the Pythagoras Theorem in the right triangle

we have that

$(1.5+1)^{2}=1.5^{2}+x^{2}$

Solve for x

$(2.5)^{2}=1.5^{2}+x^{2}$

$x^{2}=2.5^{2}-1.5^{2}$

$x^{2}=4$

$x=2\ units$

Phoenix [80]3 years ago

4 0

Answer:

x=2

Step-by-step explanation:

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3/8+5/16 in lowest terms

Salsk061 [2.6K]

3/8+5/16

=3/8+5/16

=6/16+5/16

=6+5/16

=11/16

(Decimal: 0.6875)

6 0

3 years ago

Which calculation and answer show how to convert 3/12 to a decimal Plz help ASAP

DedPeter [7]

Answer:

Its C

Step-by-step explanation:

It is C becuase when converting a fraction to a decimal, you just divide the numerator by the denominator

Basically solve the fraction

3/12=1/4

1/4 is a bencmark so right away you should know that should equal to 0.25 since its a quarter.

Or you can always look it like this

3 is the numerator

the “/“ between is basically ”divided by”

And the 12 is the denominator

Now read the equation in that order

3/12= 3 DIVIDED BY 12

There you go!

6 0

3 years ago

Given that BD is the perpendicular bisector of AC , set up the equation needed to solve for x and find the value of x

liq [111]

Answer:

below

Step-by-step explanation:

that is the procedure above

7 0

2 years ago

Read 2 more answers

What is the value of x in this triangle

polet [3.4K]

Answer:

Step-by-step explanation:

if x is the least it only makes common sense

HOPE THIS HELPS!

5 0

3 years ago

Read 2 more answers

A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco

sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

Let p = proportion of all cars in San Francisco who are blue

SO, Null Hypothesis, $H_0$ : p = 25% {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 600 cars in San Francisco who are blue = $\frac{141}{600}$ = 0.235

n = sample of cars = 600

So, test statistics = $\frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }$

= -0.866

Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

4 0

3 years ago